93/1736696. Let k = -123/8 + w. Solve 2/13 + k*m - 2/13*m**3 - 2/13*m**2 = 0.
-1, 1
Let c = -204003/5 - -40803. Find v, given that c + 2/5*v**2 - 14/5*v = 0.
1, 6
What is d in 101*d - 10201/2 - 1/2*d**2 = 0?
101
Let b = 34 + -30. Let -10*t**4 - b*t + 26*t**3 - 2*t - 2*t - 3*t**2 - 5*t**2 = 0. What is t?
-2/5, 0, 1, 2
Let x = -128 - -129. Suppose -h = d - 7, 0 = d + 3*h + 2*h - 23. Let -4*r - 24*r**4 - 12*r**3 + 30*r**2 - d*r**5 - 7 + 18*r**5 + x + r = 0. What is r?
-1, -2/5, 1
Let c = 19 + -17. Find m, given that 34*m**3 + 143*m**4 - 122*m**4 + 2*m + 13*m**2 + c*m**2 = 0.
-1, -1/3, -2/7, 0
Let b(t) = 2*t**2 + 4*t + 1. Let w(k) = -8*k**2 + 332*k - 6. Let v(l) = 6*b(l) + w(l). Solve v(z) = 0.
-89, 0
Let z(q) be the second derivative of q**6/5 + q**5/2 - q**4/6 - 5*q**3/3 - 2*q**2 + q - 5. Factor z(k).
2*(k - 1)*(k + 1)**2*(3*k + 2)
Let i(s) be the first derivative of 2*s**3/27 - 8*s + 275. Suppose i(d) = 0. What is d?
-6, 6
Suppose 9*y + 522 = 18*y. Let p be (y/20 - 3/(-5)) + -3. Find b such that -p*b**2 + 0 - 1/2*b**3 + b = 0.
-2, 0, 1
Let p = 99 - 94. Let q be 6/20*((-125)/(-30))/p. Factor 3/2*x**2 + q*x + 9/4*x**3 + 0.
x*(3*x + 1)**2/4
Let x(z) = -z**4 + z**3 - z - 1. Let l(r) = 4*r**4 + 108*r**3 - 342*r**2 + 348*r - 114. Let y(j) = -l(j) - 2*x(j). Factor y(i).
-2*(i - 1)**3*(i + 58)
Suppose 11*s = -4*a + 13*s + 12, -2*s = -a. Let b(y) be the first derivative of 0*y - 6*y**2 - 9/5*y**5 - 3/4*y**a + 8*y**3 - 10. Find c, given that b(c) = 0.
-2, 0, 2/3, 1
Let r(p) = p**3 - 8*p**2 - 8*p - 7. Let m = 1 + 8. Let k be r(m). What is j in 1 - 1 - k*j - 15*j**2 + 7*j**2 = 0?
-1/4, 0
Let v(h) = -2*h**2 - 96*h - 1246. Let o(c) = 2*c**2 + 95*c + 1245. Let i(p) = 4*o(p) + 5*v(p). Factor i(j).
-2*(j + 25)**2
Let x(q) be the second derivative of -q**7/7560 + q**6/240 - q**4/6 + 7*q**3/2 + 35*q - 1. Let t(z) be the third derivative of x(z). Find i such that t(i) = 0.
0, 9
Let d(r) be the first derivative of -1/3*r**4 - 1/180*r**6 + 1/15*r**5 + 2*r**3 + 0*r**2 + 0*r + 5. Let k(n) be the third derivative of d(n). Factor k(o).
-2*(o - 2)**2
Let m = 12646/77 + -1794/11. Find s such that 4/7 - m*s + 4/7*s**2 = 0.
1
Let l(x) = 2*x**2 + 3*x + 1. Let q be l(-2). Suppose 3*a + 4*m - 20 = 0, 0 - 20 = 4*a - 4*m. Factor a*i**q + 0*i**2 + 0*i + 3/4*i**5 + 3/4*i**4 + 0.
3*i**4*(i + 1)/4
Let j be 9/36 + (-5)/60. Let k(m) be the second derivative of 8*m + 1/36*m**4 + j*m**3 + 0*m**2 + 0. Solve k(d) = 0.
-3, 0
Find d, given that 15/4 + 29/4*d + 2*d**2 = 0.
-3, -5/8
Let l(z) be the first derivative of -z**6/120 - z**5/40 + 14*z**3/3 - 19. Let g(a) be the third derivative of l(a). What is v in g(v) = 0?
-1, 0
Let c be 48/(-240)*27*-4. Factor -18/5*w**2 + 1/5*w**3 - 216/5 + c*w.
(w - 6)**3/5
Let i be 1 + -9 - (-7)/((-210)/(-264)). Factor i*t - 2/5*t**2 + 6/5.
-2*(t - 3)*(t + 1)/5
Let m(t) = 4*t**5 - 2*t**4 - 2*t**3 + 4*t**2 - 2*t - 2. Let k(i) = -i**5 - i**2 + i + 1. Let a(y) = -4*k(y) - 2*m(y). Factor a(u).
-4*u**2*(u - 1)**2*(u + 1)
Let v(n) = 32*n**3 - 80*n**2 + 39*n - 1. Let j(g) = -159*g**3 + 396*g**2 - 195*g + 6. Let w(q) = 5*j(q) + 24*v(q). Factor w(c).
-3*(c - 1)**2*(9*c - 2)
Let b(m) be the first derivative of -m**4 + 248*m**3/3 - 1792*m**2 - 8192*m - 64. Let b(r) = 0. Calculate r.
-2, 32
Let y(j) = 2*j**2 - 184*j + 198. Let p(i) = i**2 - 123*i + 132. Let w(x) = -8*p(x) + 5*y(x). Determine k, given that w(k) = 0.
-33, 1
Let b(v) be the first derivative of -5/3*v**6 + 4*v - 12/5*v**5 + 56/3*v**3 + 15*v**2 - 15 + 7*v**4. Find o such that b(o) = 0.
-1, -1/5, 2
Let m(n) = -n**3 + 3*n + 2. Let y be m(0). Let r(o) be the first derivative of -3 + 0*o**y + 0*o + 2/9*o**3. Determine z, given that r(z) = 0.
0
Factor -32 + 7*z**3 + 28*z**2 - 17*z**3 + 7*z**3 - 28*z.
-(z - 8)*(z - 2)*(3*z + 2)
Let z(b) be the first derivative of 128*b**5/15 - 8*b**4/3 - 8*b**3 - 11*b**2/3 - 2*b/3 - 675. Factor z(i).
2*(i - 1)*(4*i + 1)**3/3
Let z(l) = l**2 + 9*l - 7. Let r be z(-10). Suppose -1 = -2*n + r. What is j in 0*j**2 + 0*j**2 + 3*j - n*j**2 + 3*j**2 + 2 = 0?
-2, -1
Let q = -7455 - -7460. Let 0 + 0*f**4 + 0*f**2 - 4/9*f**3 + 2/9*f**q + 2/9*f = 0. Calculate f.
-1, 0, 1
Suppose -9*b = -1874 + 1847. Let r(s) be the first derivative of -7/8*s**4 + 1/6*s**b + 2*s - 1/2*s**5 + 14 - 1/12*s**6 + 2*s**2. Solve r(w) = 0.
-2, -1, 1
Suppose 7*v + 672 - 700 = 0. Let l(y) be the first derivative of -8/3*y - 2/15*y**5 + 4/3*y**2 - 1/3*y**4 + 2/3*y**3 + v. Factor l(c).
-2*(c - 1)**2*(c + 2)**2/3
Factor 2*l - 59*l**2 - 15*l + 24*l**2 + 34*l**2.
-l*(l + 13)
Let z = 110 + -110. Suppose 4*y + 5*j = -z*j - 5, 2*y + 2 = -2*j. Find n such that y - 1/4*n - n**2 = 0.
-1/4, 0
Let j(c) = c**3 - 11*c**2 - 10*c - 26. Let l be j(12). Let z be (-5)/((-105)/(-36)) - l. Factor 0 - z*w**3 + 0*w + 2/7*w**2.
-2*w**2*(w - 1)/7
Suppose 0 = 3*n - 6*n - 48. Let k = 19 + n. Factor -8*x**k - 4*x**2 + 2*x**5 + 8*x**2 + 2*x**3.
2*x**2*(x - 1)**2*(x + 2)
Let n = 3706 - 3704. Let a = -3/16 + 25/48. What is y in -y**n + 0*y + 4/3 - a*y**3 = 0?
-2, 1
Let d = -7/30 - -107/630. Let z = 2/9 - d. Find v such that 4/7*v**2 + 2*v**3 + 8/7*v**4 + 0 - z*v = 0.
-1, 0, 1/4
Factor 7*q**4 + 68 + 12*q**3 + 94 - 2*q**4 + 80*q - 114 - 96*q**2.
(q - 2)**2*(q + 6)*(5*q + 2)
Let k(s) be the second derivative of -s**7/14 - 3*s**6/10 + 39*s**5/20 + 27*s**4/4 - 18*s**3 + 77*s. Suppose k(i) = 0. Calculate i.
-4, -3, 0, 1, 3
Let l(u) be the first derivative of 9/4*u**4 + 12/5*u**5 + 0*u**2 + 0*u - u**3 + 27. Determine z so that l(z) = 0.
-1, 0, 1/4
Suppose 3*t = 2*r - 2, -2*t - 8*r - 4 + 40 = 0. Let d(f) be the second derivative of -1/8*f**4 + 0 + 0*f**t + 7*f + 1/4*f**3. Factor d(o).
-3*o*(o - 1)/2
Let j(l) = -2*l**3 + 8*l**2 + l - 1. Let d be j(4). Suppose -27*c - 2*c**4 + c**4 + 29*c + 9*c**2 - 3*c**d + c**3 - 8 = 0. What is c?
-4, -1, 1, 2
Suppose 0*s + s**2 + 0 + 1/3*s**3 = 0. What is s?
-3, 0
Let -14/23*l**4 - 74/23*l**2 + 16/23 - 10/23*l**5 - 4/23*l + 86/23*l**3 = 0. What is l?
-4, -2/5, 1
Suppose -5*d + 10 = -n, d - 2*d - 5*n = -28. Factor 5*v**5 - v**d - 5*v**2 + 17*v**3 - 15*v**4 - v**3.
5*v**2*(v - 1)**3
Let t(l) be the second derivative of l**4/9 + 4*l**3/9 - 30*l - 1. Factor t(g).
4*g*(g + 2)/3
Factor 24/7*q**2 + 24/7*q + 0 + 6/7*q**5 - 12/7*q**4 - 18/7*q**3.
6*q*(q - 2)**2*(q + 1)**2/7
Let v(m) be the second derivative of m**5/10 + 7*m**4/10 + 9*m**3/5 + 11*m**2/5 + 4*m - 5. Factor v(g).
2*(g + 1)**2*(5*g + 11)/5
Let s(w) = -3*w + 19. Let y(m) = -m. Let z(h) = -s(h) + y(h). Let p be z(13). Factor p*n**4 + 15*n**2 - 7*n - 4*n**4 + 8*n**3 + n - 20*n**3.
3*n*(n - 2)*(n - 1)**2
Let q(w) be the third derivative of 5*w**8/21 + 20*w**7/21 - 37*w**6/8 - 31*w**5/6 - 5*w**4/3 + 611*w**2. Suppose q(v) = 0. Calculate v.
-4, -1/4, 0, 2
Let k(n) = n**2 - n - 2. Let i(z) = -5*z**3 - 89*z**2 - 541*z - 1082. Let r(f) = i(f) - k(f). Suppose r(j) = 0. Calculate j.
-6
Let x(r) be the first derivative of r**5 + 5*r**4/4 + 17. Factor x(m).
5*m**3*(m + 1)
Let j(q) be the first derivative of q**5/20 - q**4/4 + 5*q**3/12 - q**2/4 + 58. Determine x so that j(x) = 0.
0, 1, 2
Factor 265*f + 87*f**2 - 23*f**3 + 28*f**3 - 61 + 231 + 13*f**2.
5*(f + 1)*(f + 2)*(f + 17)
Let v(p) be the first derivative of -3*p**5/10 - 141*p**4/8 + 147*p**3/2 - 447*p**2/4 + 75*p + 135. Determine q, given that v(q) = 0.
-50, 1
Let v(j) be the third derivative of -j**7/280 + 11*j**6/80 - 89*j**5/80 + 17*j**4/8 - 363*j**2. Solve v(x) = 0 for x.
0, 1, 4, 17
Let w = 39328 - 157311/4. Solve 3/8 + 1/4*p**3 - 1/2*p**2 - w*p + 1/8*p**4 = 0 for p.
-3, -1, 1
Let -430*j**2 + 94*j**2 + 36*j**4 + 288*j - 2449*j**3 + 2457*j**3 + 4*j**5 = 0. Calculate j.
-6, 0, 1, 2
Suppose 4*w - 4*l = w - 0*l, 0 = -5*w + 3*l. What is u in w + 2/3*u - 2/9*u**2 = 0?
0, 3
Factor -o**4 + 5/2*o**3 + 0 - o - 1/2*o**2.
-o*(o - 2)*(o - 1)*(2*o + 1)/2
Factor 52/11*p + 12/11*p**3 - 48/11*p**2 + 2/11*p**4 - 18/11.
2*(p - 1)**3*(p + 9)/11
Suppose -3*p - 3*b = 75, -2*p = b + 12 + 41. Let j be ((-14)/p)/(2/8). Suppose 14*u**4 + 0*u**5 - j*u**5 + 4*u - 14*u**2 + 2*u**3 - 4*u**5 = 0. What is u?
-1, 0, 1/3, 1, 2
Let z(d) = -5*d**3 + 50*d**2 - 112*d + 70. Let o(s) = -15*s**3 + 150*s**2 - 337*s + 210. Let w(q) = 3*o(q) - 8*z(q). Factor w(i).
-5*(i - 7)*(i - 2)*(i - 1)
Let -3/4*i**3 + 3/4*i - 3/2 + 9/4*i**2 - 3/4*i**4 = 0. Calculate i.
-2, 