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22,520 | 2 \times \sqrt{7} \times 4 = \sqrt{7} \times 2 \times 4 |
19,376 | \dfrac{1}{\left(m + \left(-1\right)\right) m!} = \frac{1}{\left((-1) + m\right)! m*(m + (-1))} |
28,897 | \dfrac{36}{44} = 9/11 |
12,489 | \pi/12 + x\pi/6 = \dfrac{\pi}{12}*(1 + 2x) |
4,344 | y + z = 0 \Rightarrow -y = z |
-3,171 | \sqrt{4 \cdot 6} + \sqrt{6} = \sqrt{6} + \sqrt{24} |
21,272 | \left(f + b\right) \cdot \left(f + b\right) = f^2 + 2\cdot b\cdot f + b \cdot b |
21,415 | 11 = 2 * 2*2 + 3 |
22,586 | f_2\times h\times f_1 = \frac{f_2}{h}\times f_1 = f_2\times \frac1h/\left(f_1\right) = \dfrac{f_2}{h\times f_1} |
-5,570 | \frac{1}{8\times (-1) + m^2 - m\times 2}\times 23 = \dfrac{(-1) + 4\times m + 8 - m\times 4 + 16}{m^2 - m\times 2 + 8\times (-1)} |
-23,618 | 0.25 ^ 7 = (1 - 0.75)^7 |
13,400 | 3/6*\frac47 = \frac{2}{7} |
41,345 | \frac{1}{12} + \dfrac16 = \frac14 |
-10,544 | -\frac{8}{3 \cdot q + 5} \cdot \dfrac{1}{12} \cdot 12 = -\frac{96}{60 + 36 \cdot q} |
22,365 | \frac{1}{3} + \dfrac{1}{2} = 5/6 |
-22,319 | 12 + m^2 - 8 \cdot m = (6 \cdot (-1) + m) \cdot (2 \cdot \left(-1\right) + m) |
11,458 | \dfrac{7 \cdot 6}{10 \cdot 9} = \frac{42}{90} = 7/15 |
26,806 | (-4)^n/(-4) = (-4)^{n + (-1)} = (-1)^{n + (-1)}*4^{n + (-1)} |
-10,711 | -\frac{3}{3 + z\cdot 5}\cdot 6/6 = -\dfrac{1}{30\cdot z + 18}\cdot 18 |
11,106 | {10 \choose 2}\times {26 \choose 3}\times 5! = 14040000 |
14,097 | x_1 \overline{r_1} + ... + \overline{r_n} x_n = r_1 x_1 + ... + x_n r_n |
33,303 | \tfrac{1}{ba} = 1/(ab) |
19,809 | \frac{1}{x} + 1/x - \tfrac{1}{x \cdot x} = 2/x - \frac{1}{x^2} \lt 2/x |
-6,697 | 5/100 + 7/10 = 70/100 + \frac{1}{100} 5 |
-19,472 | \frac{7 \cdot 1/4}{5 \cdot 1/2} = \frac{7}{4} \cdot \frac15 2 |
23,697 | \frac{10*85}{100} = 8.5 |
-9,472 | -m \cdot 2 \cdot 3 \cdot 3 \cdot 3 + 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 = -54 \cdot m + 48 |
12,337 | \frac{1}{f\cdot h} = \dfrac{1}{h\cdot f} \neq 1/(f\cdot h) |
32,736 | a^l a^n = a^{l + n} |
15,663 | \sin{z} \cdot \cos{z} = \sin{z} \cdot \sin(\frac{1}{2} \cdot \pi - z) |
15,271 | 1 + 4*e + 9*e^2 + \ldots + l^2*e^{l + (-1)} = e*l^2 - 2*e^2*l |
-15,892 | -\frac{1}{10}\cdot 55 = 5\cdot \dfrac{3}{10} - 10\cdot 7/10 |
-9,950 | 0.01 (-25) = -25/100 = -0.25 |
15,959 | 47^2*7^2*3^2*5 = 2207^2 + 4*(-1) |
12,119 | \frac{1}{(1 - 1/2)^2\cdot 2} = 2 |
31,786 | 6 + (t + 3\cdot (-1))/2 + \dfrac{1}{2}\cdot ((-1) + t) = 4 + t |
-30,381 | \frac{1}{10000}\cdot 2.077 = 2.077\cdot 0.0001 |
-2,628 | 63^{1 / 2} - 7^{\frac{1}{2}} = -7^{\dfrac{1}{2}} + (9 \cdot 7)^{\frac{1}{2}} |
-11,086 | (y + 7\cdot \left(-1\right))^2 + f = (y + 7\cdot (-1))\cdot \left(y + 7\cdot (-1)\right) + f = y^2 - 14\cdot y + 49 + f |
-4,597 | 6\cdot (-1) + z^2 - z = \left(3\cdot (-1) + z\right)\cdot (z + 2) |
-7,872 | \frac{1}{-i - 4}\cdot (-18 - i\cdot 13)\cdot \frac{-4 + i}{-4 + i} = \frac{1}{-i - 4}\cdot (-18 - 13\cdot i) |
-1,077 | \frac{2 \cdot 1/7}{8 \cdot \frac15} = \frac27 \cdot \frac58 |
10,014 | 12*(x_1 - x_2) = 8*(z_1 - z_2) \implies 2*(z_1 - z_2) = 3*(x_1 - x_2) |
-26,498 | 180\cdot x = 9\cdot x\cdot 10\cdot 2 |
-4,715 | \dfrac{1}{z + 5} \cdot 5 + \frac{2}{z + 1} = \tfrac{1}{5 + z^2 + z \cdot 6} \cdot (7 \cdot z + 15) |
12,900 | (\cos\left(Z - B\right) - \cos(B + Z))/2 = \sin{Z} \cdot \sin{B} |
-2,434 | 4\cdot \sqrt{2} = (3\cdot (-1) + 2 + 5)\cdot \sqrt{2} |
16,020 | 2 (\cos{x} + (-1)) = 2*(1 - 2 \sin^2{\frac12 x} + (-1)) = 2 (-2 \sin^2{\frac12 x}) |
16,438 | 1/x + 1/2 = 1/x + 1/2 |
1,089 | 4/3 \cdot \pi - 2 \cdot \pi = -\pi \cdot 2/3 |
-26,574 | 162 \cdot (-1) + 2 \cdot z^2 = (81 \cdot (-1) + z^2) \cdot 2 |
3,000 | \cos\left(Y + G\right) = -\sin{G} \cdot \sin{Y} + \cos{G} \cdot \cos{Y} |
-6,827 | 8 \times 4 \times 10 = 320 |
-23,000 | 26/39 = \frac{26}{3 \cdot 13} \cdot 1 |
9,500 | 9/36 = \dfrac{1}{6}\cdot 3/6 + 1/6 |
-20,270 | \frac{(-81) k}{9 + 45 k} = \frac{1}{k*5 + 1}(k*\left(-9\right)) \frac{9}{9} |
8,927 | n = 4*k + 2 rightarrow 3*n + 2 = 12*k + 8 = 4*\left(3*k + 2\right) |
-22,071 | \dfrac{7}{10} = 14/20 |
18,392 | (3\cdot n - 5\cdot z)\cdot (z\cdot 7 + 2\cdot n) = 6\cdot n^2 + z\cdot n\cdot 11 - 35\cdot z \cdot z |
20,337 | \left(a + a\right)*0 = a*0 |
1,610 | z \cdot (-d z + c) = c z - d z^2 |
2,541 | \frac{x + 1}{x + (-1)} = \frac{1}{x + (-1)} \cdot (x + (-1) + 2) = 1 + \dfrac{2}{x + (-1)} |
5,854 | \cos(\tfrac{\pi}{3}) = \frac12 |
37 | 4 g h + (h - g)^2 = (h + g)^2 |
3,889 | \frac{1}{1 + 2p}(4^p + (-1)) = \dfrac{(1 + 2^p) (2^p + (-1))}{2p + 1} |
-11,604 | 17 - 7i = 15 + 2 - i*7 |
-3,355 | \sqrt{13}\times \sqrt{25} + \sqrt{13} = \sqrt{13} + \sqrt{13}\times 5 |
25,007 | vA = Av |
-4,782 | \dfrac{12 - 3 \cdot y}{y^2 - 7 \cdot y + 10} = -\tfrac{2}{y + 2 \cdot (-1)} - \dfrac{1}{y + 5 \cdot (-1)} |
21,099 | \left(2\cdot B\right)^2 = 2^2\cdot B \cdot B = 4\cdot B^2 |
10,322 | -h = h + g\cdot g = h\cdot g |
5,687 | -x*4 = -Y * Y*3 + Y^3 \Rightarrow Y^3 - 3*Y^2 + Y*4 - 5*x = 4*Y - x*9 |
4,745 | z^{1/3} = p + i\cdot q\Longrightarrow z = (q\cdot i + p) \cdot (q\cdot i + p) \cdot (q\cdot i + p) |
-6,593 | \frac{1}{3\cdot p + 21\cdot (-1)} = \frac{1}{3\cdot (p + 7\cdot (-1))} |
35,507 | \frac{4}{\sqrt{3}} = 4*\sqrt{3}/3 \approx 6.928/3 |
7,552 | \frac{b}{c} \Rightarrow b/c |
25,160 | 1 - \cos{t} = 2*\sin^2{t/2} \leq \dfrac{1}{2}*t * t |
8,644 | 2\sin\left(π\right) \cos(0) = 0 |
-18,981 | \frac{1}{40}\cdot 37 = D_t/(64\cdot \pi)\cdot 64\cdot \pi = D_t |
45,987 | 1 = (\left(-1\right)^2)^{\frac13} |
-3,657 | \frac{j^4}{j^3} = \frac{j^4}{j\cdot j\cdot j}\cdot 1 = j |
7,361 | 2\cdot z + 2\cdot x = x + x + z + z |
-20,916 | \frac22 \cdot (-\dfrac{1}{5 \cdot x + 5 \cdot (-1)} \cdot 4) = -\frac{8}{10 \cdot x + 10 \cdot \left(-1\right)} |
-596 | \tfrac{2}{3}*\pi = 92/3*\pi - \pi*30 |
3,743 | \frac{3}{1} \times \frac{1}{4} = \frac{3}{4} |
-10,359 | \frac{1}{3 \cdot y + 6} \cdot (6 \cdot (-1) + 3 \cdot y) \cdot \frac55 = \frac{1}{30 + 15 \cdot y} \cdot (15 \cdot y + 30 \cdot (-1)) |
-3,076 | (4 + 2 \cdot (-1)) \cdot 2^{\frac{1}{2}} = 2 \cdot 2^{1 / 2} |
11,302 | 2 \cdot \cos{n} \cdot \sin{n} = \sin{n \cdot 2} |
5,724 | p^2 \cdot 3 = s^2 \cdot 9 \Rightarrow s \cdot s \cdot 3 = p^2 |
16,685 | \frac12*\left(\sqrt{5} + 3\right) = ((\sqrt{5} + 1)/2)^2 |
-7,279 | \dfrac{3}{7} \cdot \frac34 = 9/28 |
31,733 | \cos(2 \cdot z) = \cos^2(z) - \sin^2(z) = 1 - 2 \cdot \sin^2(z) |
-20,772 | \dfrac{1}{3 \times \left(-1\right) + x} \times (x + 3 \times (-1)) \times (-8/5) = \frac{1}{15 \times (-1) + x \times 5} \times (24 - x \times 8) |
21,051 | \frac{dp}{dq} = \tfrac{4 \cdot p^2}{4 \cdot p \cdot q} = \frac1q \cdot p |
24,675 | (-z^2\cdot 2) \cdot (-z^2\cdot 2) \cdot (-z^2\cdot 2) + (z \cdot z \cdot z\cdot 3) \cdot (z \cdot z \cdot z\cdot 3) = z^6 |
13,595 | -\sin{d}\cdot \cos{g} + \sin{g}\cdot \cos{d} = \sin(g - d) |
-10,783 | 50 = -75 q + 75 + 12 (-1) = -75 q + 63 |
20,039 | (Z_2 + Z_1) \cdot (Z_2 - Z_1) = -Z_1^2 + Z_2^2 |
-19,068 | 7/20 = \frac{A_r}{16 \cdot \pi} \cdot 16 \cdot \pi = A_r |
-20,841 | -\frac{1}{9 + z} \cdot 4/4 = -\frac{1}{4 \cdot z + 36} \cdot 4 |
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