((-693)/352) + -5. Factor -8/3*g**3 - 2/3*g + 0 - z*g**2.
-g*(g + 2)*(8*g + 1)/3
Let -2/3*u**3 + 338/3 + 338/3*u - 2/3*u**2 = 0. What is u?
-13, -1, 13
Let n(j) be the first derivative of -4*j**3/3 - 912*j**2 + 1828*j + 11034. Factor n(g).
-4*(g - 1)*(g + 457)
Let r(c) be the second derivative of -c**6/15 + 8*c**5/5 - c**4 - 48*c**3 + 135*c**2 + 403*c + 1. Suppose r(b) = 0. What is b?
-3, 1, 3, 15
Let c(q) be the second derivative of 0 + 0*q**4 - 1/15*q**5 + 0*q**3 - 1/30*q**6 + q**2 + 6*q. Let b(d) be the first derivative of c(d). Solve b(y) = 0.
-1, 0
Let i(o) be the first derivative of 5*o**3/3 - 7255*o**2 + 10527005*o + 1584. Factor i(r).
5*(r - 1451)**2
Let u be (-315)/(-1890) + 5/18. Let 2/9 - u*n**2 + 2/9*n = 0. Calculate n.
-1/2, 1
Let b = -8571 + 8574. Let k(q) be the second derivative of 1/50*q**5 + 1/30*q**4 - 1/3*q**b + 30*q + 0 + 3/5*q**2. Suppose k(v) = 0. What is v?
-3, 1
Let s(g) be the third derivative of -g**6/200 + 58*g**5/25 - 2737*g**4/8 + 2645*g**3 - g**2 - 205*g - 2. Find q such that s(q) = 0.
2, 115
Factor 144/5 + 1/5*v**2 + 6*v.
(v + 6)*(v + 24)/5
Let q = 98 - 94. Suppose 0 = -q*z + 55 - 47. Determine l so that 2/5*l**z + 3/5*l**4 + 0 - 7/5*l**3 + 0*l = 0.
0, 1/3, 2
Let j be (-407464)/(-201810) - 2/105. Suppose 0*s - 64/11*s**3 + 2/11*s**5 - 4/11*s**4 + 192/11*s**j + 0 = 0. What is s?
-6, 0, 4
Let l(o) be the second derivative of -o**5/40 - 17*o**4/24 - 35*o**3/6 + 1510*o. Suppose l(t) = 0. What is t?
-10, -7, 0
Factor 0 + 75/2*z**2 - 39*z + 3/2*z**3.
3*z*(z - 1)*(z + 26)/2
Let u(s) = -2*s**3 - 68*s**2 + 193*s + 1764. Let c be u(-36). Let -40/3*f**2 + c*f - 2/3*f**3 + 0 = 0. What is f?
-20, 0
Let c(d) be the second derivative of -d**7/126 + 19*d**6/45 + 4*d**5/3 + d**4/18 - 79*d**3/18 - 20*d**2/3 - d - 98. Let c(o) = 0. What is o?
-1, 1, 40
Let q(j) = -j**5 - j**4 + j**3 - 11*j**2 + j - 2. Let f(u) = 3*u**5 - 13*u**4 + 17*u**3 + 25*u**2 - 21*u + 2. Let y(x) = f(x) + q(x). Solve y(l) = 0.
-1, 0, 1, 2, 5
Let v(q) = 2*q**2 - 326*q - 21. Let l(m) = -108*m - 6. Let t(x) = -7*l(x) + 2*v(x). Factor t(s).
4*s*(s + 26)
Suppose -x + 262 = -5*k - 82, 3*k + 2*x = -196. Let y = -48 - k. Factor 40 - 17*m**2 - 35 - 8*m**2 + y*m.
-5*(m - 1)*(5*m + 1)
Let u = -2749 + 1319. Let n be (u/105)/(-11) - 0. Factor 2/7 + n*b + 2/3*b**4 + 12/7*b**3 + 2/21*b**5 + 44/21*b**2.
2*(b + 1)**4*(b + 3)/21
Factor -5*x**4 - 103*x**3 + 9*x**3 + 3*x**4 + 0*x**4 + 100*x**2 + 138*x + 54*x.
-2*x*(x - 2)*(x + 1)*(x + 48)
Let w(l) = -3*l**2 + 4*l**5 - l**4 + l**2 + l**2 - 3*l**5 - l**3. Let v(r) = 7*r**5 + 43*r**4 + 73*r**3 + 33*r**2. Let h(p) = v(p) - 2*w(p). Factor h(q).
5*q**2*(q + 1)**2*(q + 7)
Factor 4/5*w**3 + 52/5*w**2 + 28 + 188/5*w.
4*(w + 1)*(w + 5)*(w + 7)/5
Suppose -130 + 115 = 455*s - 925. Determine g, given that 0 - 3*g - 1/2*g**s = 0.
-6, 0
What is h in -9/4*h**3 + 3*h**4 - 3/4*h**5 + 0 + 3*h - 3*h**2 = 0?
-1, 0, 1, 2
Let c = -287 - -317. Let p be ((-216)/198)/(c/(-33)). Find j such that 18/5*j**5 - p*j - 36/5*j**4 - 4/5 + 24/5*j**2 + 4/5*j**3 = 0.
-2/3, -1/3, 1
Let x(a) = -a**2 + 4*a - 107. Let h(j) = 16. Let f(p) = 14*h(p) + 2*x(p). Suppose f(y) = 0. What is y?
-1, 5
Suppose 8 = -2*n - 2*n + 4*r, -3*n = 7*r - 54. Solve 5*a + 0 + 65/4*a**3 - 15*a**2 + 5/4*a**5 - 15/2*a**n = 0.
0, 1, 2
Let q be ((-4)/24 + (-7113)/90)*14. Let r = q + 1109. Factor -36/5 - r*n**2 + 12/5*n.
-(n - 6)**2/5
Let n(o) be the first derivative of -5*o**4/4 - 25*o**3 - 140*o**2 - 857. Factor n(z).
-5*z*(z + 7)*(z + 8)
Let v = 188681 - 188679. Factor -2/5*n**v + 3/5 + 1/10*n**3 + 1/10*n.
(n - 3)*(n - 2)*(n + 1)/10
Suppose 40*q = -44*q - 672. Let h be -3 - (12/q)/(3/6). Solve -162/7*l**4 + 64/7*l**2 - 8/7*l - 90/7*l**3 + h = 0 for l.
-1, 0, 2/9
Let a(d) be the second derivative of 1/70*d**5 - 1/7*d**4 + 11/21*d**3 - 2*d - 59 - 6/7*d**2. Find k, given that a(k) = 0.
1, 2, 3
Suppose 5*t - 36 = -4*z, -2*z - 2*t + 20 = z. Factor -268*l + 0*l**4 + l**z - 3*l**3 + 272*l.
l*(l - 2)**2*(l + 1)
Let v(g) be the first derivative of -152/3*g**3 - g**4 + 3200*g + 81 - 640*g**2. Solve v(l) = 0 for l.
-20, 2
Let i be ((-156)/(-20) - 7)/(-11*(-4)/10). Determine x, given that 4/11*x + i*x**4 - 4/11*x**3 + 0*x**2 - 2/11 = 0.
-1, 1
Suppose -95*l = 268*l + 169*l - 1064. Factor 1/9*b**3 + 8/9*b + 4/9 + 5/9*b**l.
(b + 1)*(b + 2)**2/9
Factor -1037/3*x**2 - 2077/3*x - 1039/3 + 1/3*x**3.
(x - 1039)*(x + 1)**2/3
Factor -3/5 + 4/5*u**2 + 1/5*u.
(u + 1)*(4*u - 3)/5
Let y(x) = 17*x**3 - 267*x**2 - 1080*x - 1073. Let w(q) = -45*q**3 + 803*q**2 + 3240*q + 3220. Let u(t) = 3*w(t) + 8*y(t). Factor u(a).
(a + 2)**2*(a + 269)
Let s be (-5)/15*(-6 - (-3 - -9)). Let l be s/(-6)*((-477)/90 - -5). Factor -6/5*y + 8/5 + l*y**2.
(y - 4)*(y - 2)/5
Let w = 3 - -2. Suppose 0 = w*m + 5*x - 70, 2*x + 37 = 4*m - 1. Factor 10*n**3 - 4*n**2 - 2*n - m*n**3 + n**2.
-n*(n + 1)*(n + 2)
Let h = -26/667 + 14029/240120. Let u(q) be the third derivative of 0 + 0*q**3 + 5/72*q**4 + h*q**6 - 24*q**2 + 11/180*q**5 + 1/630*q**7 + 0*q. Factor u(d).
d*(d + 1)**2*(d + 5)/3
Let q(g) be the third derivative of -g**7/2520 + g**6/180 + 7*g**5/40 - g**4/2 + g**3/3 + 2*g**2 + 3. Let t(d) be the second derivative of q(d). Factor t(w).
-(w - 7)*(w + 3)
Factor -33/4*b**3 + 57/4*b**2 + 0 + 3/4*b**4 - 27/4*b.
3*b*(b - 9)*(b - 1)**2/4
Let r = -4514 + 4518. Let x(w) be the first derivative of 0*w**r - 1 - 4/3*w**3 + 0*w + 4/5*w**5 + 0*w**2. Factor x(i).
4*i**2*(i - 1)*(i + 1)
Factor 169*b - 26*b + 202*b + 325*b**3 + 10 + 660*b**2.
5*(b + 1)**2*(65*b + 2)
Let m(w) be the second derivative of -w**7/21 - 28*w**6/15 + 191*w**5/10 - 215*w**4/3 + 404*w**3/3 - 136*w**2 - 2*w - 163. Solve m(i) = 0 for i.
-34, 1, 2
Let j(v) be the first derivative of 32*v**6/45 + 152*v**5/25 + 377*v**4/30 + 122*v**3/15 - 13*v**2/15 - 2*v + 1059. Determine n so that j(n) = 0.
-5, -1, -3/8, 1/4
Let g be 12/(-84)*(-13)/((-39)/(-36)). What is k in -g*k + 2 - 2/7*k**2 = 0?
-7, 1
Let y(d) be the third derivative of d**7/420 - d**6/12 + 83*d**5/120 - 31*d**4/12 + 5*d**3 + 1178*d**2. Determine n, given that y(n) = 0.
1, 2, 15
Let u be (2 + -1)*(3 + 1). Suppose -3*v - 3*i + 5 = -13, -v = -5*i + 18. Let 2*s**2 - 18*s**2 + 6*s**u + v*s**5 - 8*s**3 - 2*s**4 = 0. What is s?
-2, 0, 2
Let w(j) be the first derivative of -j**4/2 + 10*j**3/3 + 118*j**2 + 224*j + 855. Factor w(n).
-2*(n - 14)*(n + 1)*(n + 8)
Let j(w) be the third derivative of -2/105*w**7 + 1/6*w**6 + 0*w**4 + 0 + 2/5*w**5 + 0*w**3 + 0*w - 39*w**2. Let j(b) = 0. Calculate b.
-1, 0, 6
Let c = 21 + -21. Suppose c = 4*l - 4*g, 35 = 6*l - 2*l + 3*g. Factor 4*v**2 + 4*v**5 - 2*v**l + 306*v**3 - 312*v**3.
2*v**2*(v - 1)**2*(v + 2)
Let w = 12477/710 - 26/355. Factor -15/2*o + 0 - 25/2*o**3 + 5/2*o**4 + w*o**2.
5*o*(o - 3)*(o - 1)**2/2
Let n = -1602503/8 + 200341. Find w such that 15/4*w - 1/8*w**2 - n = 0.
15
Suppose -3*o + 0*o + 2*l = -9751, 9737 = 3*o + 5*l. Suppose 7*s + 23*s**2 - o + 37*s - 24*s**2 + 31*s + 39*s = 0. What is s?
57
Let m(i) be the second derivative of i**6/5 - 99*i**5/20 + 43*i**4/4 + 33*i**3/2 - 135*i**2/2 - 3316*i. Find q, given that m(q) = 0.
-1, 1, 3/2, 15
Let i(p) be the second derivative of -p**7/3780 + p**6/360 - p**5/90 + p**4/3 + 3*p**3 - 40*p. Let l(a) be the third derivative of i(a). Factor l(z).
-2*(z - 2)*(z - 1)/3
Let w = -11428/5 - -2286. Suppose 2/5*o**3 - w + 2/5*o**2 - 2/5*o = 0. Calculate o.
-1, 1
Let r be (((-1911)/(-364))/(-7))/((1*-2)/8). Factor 3 - 1/5*n**r + 29/5*n + 13/5*n**2.
-(n - 15)*(n + 1)**2/5
Let y be (0 - -3) + ((-560)/25)/8. Let u(w) = -4*w + 30. Let s be u(7). Suppose 2/5*l + y*l**s + 0 = 0. Calculate l.
-2, 0
Let g(m) = -2*m**3 + 40*m**2 + 17*m - 65. Let f be g(20). Let h = 277 - f. Suppose -19/6*x**h - 3/2*x**4 - 1/2*x + 0 - 11/2*x**3 = 0. Calculate x.
-3, -1/3, 0
Let q(b) be the third derivative of 0*b**3 + 0*b + 15/8*b**4 - 123*b**2 + 0 + 1/20*b**5. Factor q(n).
3*n*(n + 15)
Let f be (6/(-11))/(-1) - 171*(-3140)/(-5315706). Factor 2/9*p**3 - 2/3*p + 0 + f*p**2.
2*p*(p - 1)*(p + 3)/9
Let d(k) = 29*k. Let w(x) = -x**2 - 326*x - 412. Let t(f) = 3*d(f) - w(f). Factor t(z).
(z + 1)*(z + 412)
Let c be (1/2)/((-4)/(-280)). Suppose -7*z = -2*z - 5*l - c, 0 = 4*z + 3*l - 49. Factor -4*h - h**3 - 6*h**2 - 4*h**4 + 5*h**3 + z*h**2.
-4*h*(h - 1)**2*(h + 1)
Suppose 15*s = 17*s + 3*h + 