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-27,733 | \frac{\mathrm{d}}{\mathrm{d}z} \sec{z} = \sec{z}*\tan{z} |
28,232 | \left(a^m + z^m \Leftrightarrow a + z = 0\right) \implies a^m + z^m = 0 |
-4,840 | \tfrac{7.2}{10} = 7.2/10 |
3,579 | 4*x + 24 = 0 \implies x = -6 |
30,671 | 0 = \tilde{c}^n rightarrow c^n = 0 |
-30,713 | 5\cdot (-1) + 20\cdot x = 5\cdot (x\cdot 4 + (-1)) |
-18,154 | 13*(-1) + 63 = 50 |
6,661 | w\cdot 2\cdot x\cdot 3 = 6\cdot x\cdot w |
-8,005 | \frac{1}{32} \cdot (-80 + 80 \cdot i + 80 \cdot i + 80) = \left(0 + 160 \cdot i\right)/32 = 5 \cdot i |
-5,023 | 2.01*10 = \frac{20.1}{10}1 = 2.01*10^0 |
28,603 | t^2 - y^2 = \left(t - y\right)\cdot (y + t) |
10,872 | 33! = 2^{2 (-1) + 33}*4043484860477916195764296875 |
14,677 | \arctan(\infty/(\sqrt{2})) = \frac{\pi}{2} |
33,036 | -1.625 = -\frac1813 |
26,592 | a^2 - f^2 = (a - f)\cdot \left(f + a\right) |
6,836 | \frac{1}{x\alpha} = 1/(x\alpha) |
29,821 | 5!*4!*4315*6! = 8947584000 |
14,748 | -80*2^2 * 2 + 3 * 3 * 3*24 = 2^3 |
10,388 | \frac{3^3}{3} + 3^2 + \frac{6}{3} \cdot 1 = 20 |
17,934 | \left(y = 1^{\tfrac1n} \Rightarrow y^n = 1\right) \Rightarrow 0 = y^n + \left(-1\right) |
29,045 | \dfrac{1}{y^6} = (\frac{1}{y})^6 |
40,192 | |A \cdot B - I \cdot \lambda| = |A \cdot B - \lambda \cdot I| |
17,169 | \frac{\mathrm{d}v}{\mathrm{d}t} = a\Longrightarrow 2av = 2v\frac{\mathrm{d}v}{\mathrm{d}t} |
274 | \dfrac{1}{k!} (2 (1/2 + (-1)) (2 (-1) + 1/2) \ldots\cdot \left(\frac12 - k + 1\right))^{-1} = \binom{\frac{1}{2}}{k} |
8,233 | 2 = e + b \implies e - b = 8 |
10,019 | p\cdot p^{m + \left(-1\right)} = p^m |
30,706 | y = x rightarrow y = x |
110 | (h + a)^2 = 2 \times a \times h + a \times a + h^2 |
24,710 | 2 (-1) + y^2 + y = (2 + y) ((-1) + y) |
24,489 | 6\cdot \left(-1\right) + 20 = 14 |
13,600 | 1/3 + \dfrac{2}{9} = \frac39 + \frac29 = 5/9 |
28,247 | 2^{2 \cdot l} = (2^2)^l = 4^l |
-10,423 | \frac{3 \cdot n + 1}{n \cdot 2} \cdot \frac55 = \frac{5 + n \cdot 15}{n \cdot 10} |
19,917 | 1 + z^2 + z = (\frac12 + z)^2 + 3/4 |
-4,292 | \frac{10}{x}\times 1/9 = \frac{10}{9\times x} |
-23,510 | \tfrac{5 / 7}{3}\cdot 1 = \dfrac{5}{21} |
19,943 | x = F\Longrightarrow \frac{x}{F} = 1 |
13,180 | \tfrac1dx = (1 + 4l)^{1/2} \Rightarrow \tfrac{x^2}{d \cdot d} = 2 + 4l |
-28,410 | x \cdot x + 10 x + 41 = x^2 + 10 x + 25 + 16 = (x + 5)^2 + 16 = (x + 5)^2 + 4^2 |
29,061 | n\times 3 + n = 4\times n |
-20,978 | \dfrac{3}{3}*\frac{-4*t + 5}{-7*t + 4} = \frac{15 - t*12}{-21*t + 12} |
37,319 | 0 = 0C = C |
7,095 | 1/3 (2/3) \cdot (2/3) \cdot (2/3) = 8/81 |
25,669 | {52 \choose 5} = 49\cdot 48\cdot 50\cdot 51\cdot 52/5! |
34,596 | 119^2 + 120 * 120 = 169^2 |
7,889 | fb = \frac{1}{fb} = 1/\left(bf\right) = bf |
37,668 | 1/(k*x) = \dfrac{1}{k*x} |
12,852 | c_2 \cdot c_2 + c_1\cdot c_2\cdot 2 + c_1^2 = (c_2 + c_1) \cdot (c_2 + c_1) |
21,027 | 4 \cdot g + 2 \cdot (-1) \gt 0 \Rightarrow 2^{4 \cdot g + 2 \cdot \left(-1\right)} > 2^0 = 1 |
5,531 | z^2 + z*2 + 2 = (z + 1)^2 + 1 |
-16,037 | 9*8*7*6*5 = \frac{9!}{(9 + 5*(-1))!} = 15120 |
21,731 | 1 = a \cdot b\Longrightarrow 1 = a \cdot b |
26,341 | (c^2 + h^2 - c \cdot h) \cdot (h + c) = c^3 + h^3 |
36,511 | -\cos(\phi) = \cos(\pi - \phi) |
5,887 | exp(\ln(e)) = e |
3,344 | \|g\| = \|\frac{1}{\lambda - A}\cdot g\cdot (\lambda - A)\| \leq \|(\lambda - A)\cdot g\| |
-30,270 | (y + 3\cdot (-1))\cdot \left(3 + y\right) = y^2 + 9\cdot (-1) |
4,851 | \mu*\frac{\partial}{\partial \mu} \sum_{i=1}^n \mu^i = \sum_{i=1}^n i*\mu^i |
8,872 | \frac{1}{3}*3^{-j} = 3^{-(j + 1)} |
19,600 | W\cdot (C - B)\cdot r = -r\cdot B\cdot W + r\cdot C\cdot W |
32,878 | (1 + z) \cdot ((-1) + z) = z^2 + (-1) |
19,163 | -4 \cdot a \cdot b + (a + b)^2 = (a - b) \cdot (a - b) |
48,330 | 3^2 = 2 + 7 |
3,738 | a^2/2 = a*1/2*a |
8,600 | b \cdot a \cdot b = b^2 \cdot b \cdot a/b |
7,732 | \sin(B + Y) = \sin(Y)*\cos(B) + \cos(Y)*\sin(B) |
-27,498 | f\cdot f\cdot 7\cdot 5 = 35\cdot f^2 |
10,001 | -3\cdot (x + 2\cdot (-1))^2 = -3\cdot \left(2\cdot (-1) + x\right)\cdot (x + 2\cdot \left(-1\right)) |
-10,727 | \frac55 \times \left(-\frac{10 + y}{y^2 \times 5}\right) = -\frac{50 + y \times 5}{y \times y \times 25} |
33,102 | x^2 \cdot x_\alpha \cdot \psi = x_\alpha \cdot x^2 \cdot \psi = x_\alpha \cdot k \cdot (k + 1) \cdot \psi = k \cdot (k + 1) \cdot x_\alpha \cdot \psi |
-29,828 | \frac{\mathrm{d}}{\mathrm{d}x} \left(x^3 - x^2*4 + 3x\right) = 3 + x^2*3 - 8x |
-1,604 | -\pi/3 + 2\pi = \pi \frac53 |
41,251 | \frac{1 - \sqrt{5}}{2} = \frac{1}{2} - \frac{\sqrt{5}}{2} |
24,067 | 75 - 81*12 + 75*12 = 75 - (81 + 75*(-1))*12 |
-9,642 | 0.01\cdot (-92) = -\dfrac{92}{100} = -0.92 |
24,393 | b^x = b^x |
3,126 | x^2 + \epsilon \cdot \epsilon + A^2 = (x + 2 \cdot \left(-1\right)) \cdot (x + 2 \cdot \left(-1\right)) + (\epsilon + 4 \cdot (-1))^2 + \left(A + 3 \cdot (-1)\right)^2 = \left(x + 10 \cdot (-1)\right) \cdot \left(x + 10 \cdot (-1)\right) + (\epsilon + 8 \cdot \left(-1\right))^2 + (A + 9 \cdot (-1))^2 |
10,500 | x*(1 + l) = x + x*l |
15,028 | \left((-d + a)^2 + \left(d - c\right)^2 + (c - a)^2\right)/2 = a^2 + d \cdot d + c^2 - a \cdot d - c \cdot d - a \cdot c |
5,258 | 1/6 \times {2 \choose 1}/6 = \frac{1}{18} |
-13,884 | (9 + 1 \times 2) - 1 \times 8 = (9 + 2) - 1 \times 8 = 11 - 1 \times 8 = 11 - 8 = 3 |
6,390 | 5 + 12\cdot i = \left(2\cdot i + 3\right)^2 |
3,777 | d/dx y \cdot y \cdot y = 3 \cdot y^2 \cdot \frac{dy}{dx} |
25,839 | E(x) E(Y) = E(Yx) |
10,056 | \dfrac{1}{3}\left(3l + 3(-1)\right) + \frac{1}{3}(3l \cdot l + 3l + 1) = (3l^2 + 6l + 2(-1))/3 = l^2 + 2l - 2/3 |
23,388 | 3 \cdot \frac12/3 = \dfrac{1}{\frac{1}{3}2 \cdot 3} |
-18,277 | \dfrac{1}{(y + 4) \cdot (y + 9)} \cdot \left(y + 4\right) \cdot (y + 7 \cdot (-1)) = \frac{y^2 - 3 \cdot y + 28 \cdot (-1)}{y \cdot y + 13 \cdot y + 36} |
6,193 | \frac{\mathrm{d}}{\mathrm{d}k} \frac{1}{2\cdot (-1) + k} = -\dfrac{1}{(2\cdot (-1) + k)^2} |
12,287 | \dfrac{1}{2} \cdot (-\sqrt{3} + 1) = 1/2 - \sqrt{3}/2 |
4,606 | R/I \cdot x = R \cdot x/I |
25,107 | 1 - y \cdot 8 + y^2 \cdot 12 = (2 \cdot y + (-1)) \cdot ((-1) + y \cdot 6) |
4,988 | \dfrac12\cdot \left(1 + 2017\right) = 1009 |
1,606 | a^f/a = a^{(-1) + f} |
1,303 | \dfrac{2\cdot \tan{x}}{1 + \tan^2{x}} = \sin{x\cdot 2} |
21,576 | a \cdot b = (a \cdot b + b \cdot a)/2 = b \cdot a |
13,291 | \sum_{k=1}^x (1 + k) \cdot (k + (-1)) = \sum_{k=1}^x (1 + k) \cdot ((-1) + k) |
-1,138 | -8/7*5/6 = (1/7 (-8))/(6*1/5) |
-12,107 | \frac{1}{45} \cdot 44 = \frac{s}{18 \cdot \pi} \cdot 18 \cdot \pi = s |
14,078 | 21 = a + b + d + h + 5\cdot (-1) + 5 + h = a + b + d + 2\cdot h |
25,370 | \left(2 + s\right)^2 + 1^2 = 5 + s^2 + s*4 |
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