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10 Hard & Complicated Equations for 101

Here are some pre-generated hard and complicated equations that equal 101. These random math formulas are perfect for challenges. Copy the LaTeX code or use our generator above for more.

Variation 1

$\left({\left({{\lim_{x \to \infty}{{ 12x^{3} - 4x } \over {{ 4x^{3} + 9x }}}} \over {\lim_{{x\to 12}}(\cos^2x + \sin^2x)}}\right)}\right)^{4} + \left({{ \left({{\sum\limits_{k=0}^\infty {\left({7 \over {8}}\right)^{k}}}}\right) + {{\lim_{x \to \infty}{{ 12x^{2} + 3x } \over {{ 1x^{2} + 8x }}}}}}}\right)$
LaTeX Equation: \left({\left({{\lim_{x \to \infty}{{ 12x^{3} - 4x  } \over {{ 4x^{3} + 9x  }}}} \over {\lim_{{x\to 12}}(\cos^2x + \sin^2x)}}\right)}\right)^{4} + \left({{ \left({{\sum\limits_{k=0}^\infty {\left({7 \over {8}}\right)^{k}}}}\right) + {{\lim_{x \to \infty}{{ 12x^{2} + 3x  } \over {{ 1x^{2} + 8x  }}}}}}}\right)

Variation 2

$\left({\left({{\lim_{x \to \infty}{{ 15x^{2} - 3x } \over {{ 5x^{2} - 9x }}}} \over {\lim_{{x\to 27}}(\cos^2x + \sin^2x)}}\right)}\right)^{4} + \left({{ \left({{\sum\limits_{k=0}^\infty {\left({6 \over {7}}\right)^{k}}}}\right) + {{\lim_{x \to 9} {{x^2 - 16} \over {x - 4}}}}}}\right)$
LaTeX Equation: \left({\left({{\lim_{x \to \infty}{{ 15x^{2} - 3x  } \over {{ 5x^{2} - 9x  }}}} \over {\lim_{{x\to 27}}(\cos^2x + \sin^2x)}}\right)}\right)^{4} + \left({{ \left({{\sum\limits_{k=0}^\infty {\left({6 \over {7}}\right)^{k}}}}\right) + {{\lim_{x \to 9} {{x^2 - 16} \over {x - 4}}}}}}\right)

Variation 3

$\left({{\lim_{x \to 0}{ {e^{3x} - 1} \over {x} }}}\right)^{4} + \left({{ \left({{\prod_{k=1}^{3} k}}\right) + {{\sum\limits_{k=0}^\infty {\left({13 \over {14}}\right)^{k}}}}}}\right)$
LaTeX Equation: \left({{\lim_{x \to 0}{ {e^{3x} - 1} \over {x} }}}\right)^{4} + \left({{ \left({{\prod_{k=1}^{3} k}}\right) + {{\sum\limits_{k=0}^\infty {\left({13 \over {14}}\right)^{k}}}}}}\right)

Variation 4

$\left({{-3e^{\pi i}}}\right)^{4} + \left({{ \left({{\lim_{x \to \infty}{{ 8x^{4} - 6x } \over {{ 1x^{4} + 11x }}}}}\right) + {{\lim_{x \to 0}{ {-\ln(1 + 12(e^{-x} - 1))} \over {x} }}}}}\right)$
LaTeX Equation: \left({{-3e^{\pi i}}}\right)^{4} + \left({{ \left({{\lim_{x \to \infty}{{ 8x^{4} - 6x  } \over {{ 1x^{4} + 11x  }}}}}\right) + {{\lim_{x \to 0}{ {-\ln(1 + 12(e^{-x} - 1))} \over {x} }}}}}\right)

Variation 5

$\left({{\lim_{x \to 0}{ {-\ln(1 + 3(e^{-x} - 1))} \over {x} }}}\right)^{4} + \left({{ \left({{\lim_{x \to \infty}{{ 24x^{4} + 3x^{3} + 9x^{2} + 8x } \over {{ 4x^{4} - 4x }}}}}\right) + {{\lim_{x \to 7} {{x^2 - 49} \over {x - 7}}}}}}\right)$
LaTeX Equation: \left({{\lim_{x \to 0}{ {-\ln(1 + 3(e^{-x} - 1))} \over {x} }}}\right)^{4} + \left({{ \left({{\lim_{x \to \infty}{{ 24x^{4} + 3x^{3} + 9x^{2} + 8x  } \over {{ 4x^{4} - 4x  }}}}}\right) + {{\lim_{x \to 7} {{x^2 - 49} \over {x - 7}}}}}}\right)

Variation 6

$\left({{\lim_{x \to \infty}{{ 6x^{2} - 7x } \over {{ 2x^{2} - 6x }}}}}\right)^{4} + \left({{ \left({{-7e^{\pi i}}}\right) + {{\sum\limits_{k=0}^\infty {\left({12 \over {13}}\right)^{k}}}}}}\right)$
LaTeX Equation: \left({{\lim_{x \to \infty}{{ 6x^{2} - 7x  } \over {{ 2x^{2} - 6x  }}}}}\right)^{4} + \left({{ \left({{-7e^{\pi i}}}\right) + {{\sum\limits_{k=0}^\infty {\left({12 \over {13}}\right)^{k}}}}}}\right)

Variation 7

$\left({{\sum\limits_{k=0}^\infty {\left({2 \over {3}}\right)^{k}}}}\right)^{4} + \left({{ \left({{\lim_{x \to 16} {{x^2 - 64} \over {x + 8}}}}\right) + {{\lim_{x \to 0}{ {e^{12x} - 1} \over {x} }}}}}\right)$
LaTeX Equation: \left({{\sum\limits_{k=0}^\infty {\left({2 \over {3}}\right)^{k}}}}\right)^{4} + \left({{ \left({{\lim_{x \to 16} {{x^2 - 64} \over {x + 8}}}}\right) + {{\lim_{x \to 0}{ {e^{12x} - 1} \over {x} }}}}}\right)

Variation 8

$\left({{-3e^{\pi i}}}\right)^{4} + \left({{ \left({{\prod_{k=1}^{3} k}}\right) + {{\lim_{x \to 0}{ {e^{14x} - 1} \over {x} }}}}}\right)$
LaTeX Equation: \left({{-3e^{\pi i}}}\right)^{4} + \left({{ \left({{\prod_{k=1}^{3} k}}\right) + {{\lim_{x \to 0}{ {e^{14x} - 1} \over {x} }}}}}\right)

Variation 9

$\left({{\lim_{x \to 4} {{x^2 - 1} \over {x + 1}}}}\right)^{4} + \left({{ \left({{\sum\limits_{k=0}^\infty {\left({7 \over {8}}\right)^{k}}}}\right) + {{\lim_{x \to 0}{ {-\ln(1 + 12(e^{-x} - 1))} \over {x} }}}}}\right)$
LaTeX Equation: \left({{\lim_{x \to 4} {{x^2 - 1} \over {x + 1}}}}\right)^{4} + \left({{ \left({{\sum\limits_{k=0}^\infty {\left({7 \over {8}}\right)^{k}}}}\right) + {{\lim_{x \to 0}{ {-\ln(1 + 12(e^{-x} - 1))} \over {x} }}}}}\right)

Variation 10

$\left({{-3e^{\pi i}}}\right)^{4} + \left({{ \left({{\lim_{x \to 0}{ {e^{6x} - 1} \over {x} }}}\right) + {{\lim_{x \to 0}{ {-\ln(1 + 14(e^{-x} - 1))} \over {x} }}}}}\right)$
LaTeX Equation: \left({{-3e^{\pi i}}}\right)^{4} + \left({{ \left({{\lim_{x \to 0}{ {e^{6x} - 1} \over {x} }}}\right) + {{\lim_{x \to 0}{ {-\ln(1 + 14(e^{-x} - 1))} \over {x} }}}}}\right)