(f) = -9*c(f) + 8*u(f). Find s such that d(s) = 0.
-13, 41
Suppose 0*s + 2*s - 4*a - 3688 = 0, -a = -4*s + 7355. Let v = -9188/5 + s. Factor -12/5 + 12/5*u**2 + 2/5*u**3 - v*u.
2*(u - 1)*(u + 1)*(u + 6)/5
Let c(w) be the second derivative of w**6/24 - 3*w**5/4 - 35*w**4/8 - 55*w**3/6 - 17*w**2/2 + 2*w - 47. Let t(y) be the first derivative of c(y). Factor t(x).
5*(x - 11)*(x + 1)**2
Let d(q) = q**3 - 5*q**2 + 2*q - 4. Let n be d(4). Let c(w) = 25*w + 300. Let z be c(n). Factor -1/6*t + z + 1/6*t**2.
t*(t - 1)/6
Let k(l) be the second derivative of -l**5/90 - 71*l**4/54 + 220*l**3/27 - 148*l**2/9 + 22*l + 115. Factor k(q).
-2*(q - 2)*(q - 1)*(q + 74)/9
Factor -36 - 2/5*t**3 + 266/5*t - 84/5*t**2.
-2*(t - 2)*(t - 1)*(t + 45)/5
Let o(a) = -a**3 + 11*a**2 + 15*a - 18. Let x be o(12). Suppose q - x = 3*l, 12 = -q - 7*l + 4*l. Let -17*d - 25*d**2 - d**3 - q*d - 4*d**3 = 0. What is d?
-4, -1, 0
Let v(g) be the first derivative of -g**6/120 - 2*g**5/5 + 9*g**4/2 - 182*g**3/3 - 189. Let b(y) be the third derivative of v(y). Let b(z) = 0. Calculate z.
-18, 2
Let y(q) be the third derivative of -22*q**3 + 167/12*q**4 + 0*q + 20*q**2 + 0 - 1/6*q**5. Solve y(c) = 0.
2/5, 33
Let t = -48 + 54. Let x be (t - 4)*(-2)/(-2). Factor 5*k - 455 + 455 + k**x.
k*(k + 5)
Let x(p) be the second derivative of 1/2*p**3 + 37 - 3/10*p**5 - 3*p + 3/2*p**2 - 1/2*p**4 + 1/10*p**6 + 1/14*p**7. Let x(o) = 0. What is o?
-1, 1
Suppose 144*l = 366*l - 666. Let n(g) be the third derivative of -5/84*g**4 + 0*g + 23*g**2 - 1/210*g**5 + 0 + 0*g**l. Determine p, given that n(p) = 0.
-5, 0
Let w(s) = 543*s - 92. Let c be w(5). Let -3*m**3 + 3*m**2 - c*m + 0*m**2 + 2629*m = 0. What is m?
-1, 0, 2
Suppose -409*m = -196*m - 202*m - 22. Suppose 21/2*g**m + 9*g - 3/2 = 0. Calculate g.
-1, 1/7
Factor 32*r**2 + 4/3*r**4 + 0*r - 44/3*r**3 + 0.
4*r**2*(r - 8)*(r - 3)/3
Let y be ((-3)/(-450))/((-297)/(-7425)). Factor y*t**5 + 0 - 1/3*t**4 - 2/3*t + 4/3*t**2 - 1/2*t**3.
t*(t - 2)*(t - 1)**2*(t + 2)/6
Let t(b) be the second derivative of -8*b**7/21 - 6*b**6/5 + 254*b**5/5 + 408*b**4 + 2380*b**3/3 + 450*b**2 - 161*b - 1. What is w in t(w) = 0?
-5, -1, -1/4, 9
Let o be ((-1)/2)/(12/1704). Let x = -69 - o. Factor -21*k - 7*k**2 - 19*k - 100 + 3*k**x.
-4*(k + 5)**2
Determine w so that 65098*w**2 + 2*w**3 + 187*w + 101*w - 64996*w**2 = 0.
-48, -3, 0
Suppose -5*o - 5*l + 85 = 0, 3*o - 5*l - 10 - 1 = 0. Suppose -o*q + 14 = -10. Find p such that 861*p**2 - 25 - 189*p**q + 79 + 333*p + 441*p**3 = 0.
-2/3, -3/7
Let k = 2058 - 2056. Determine u, given that 18/7 + 15/7*u**k - 33/7*u = 0.
1, 6/5
Let h(m) = m - 1. Let k(a) = 46 - 2*a**2 - 2*a - 3*a - 12*a - 59. Let u be (-6)/(-10) - 2/(-5). Let t(v) = u*k(v) + 5*h(v). Solve t(q) = 0.
-3
Let c(x) be the second derivative of 5*x + 0 + 1/42*x**4 - 5/21*x**3 + 0*x**2. Factor c(z).
2*z*(z - 5)/7
Let c(i) be the first derivative of i**7/14 + i**6/10 + 25*i - 28. Let h(f) be the first derivative of c(f). What is x in h(x) = 0?
-1, 0
Let r be (-194)/(-2037)*336/80. Let -r*k**3 - 1566/5*k + 114/5*k**2 - 1682/5 = 0. Calculate k.
-1, 29
Let c = -3675 - -2326. Let i = -4037/3 - c. Find z such that -2/3*z**2 - 8/3*z + i = 0.
-5, 1
Factor -24 + 152/7*z**2 + 12/7*z**3 + 452/7*z.
4*(z + 6)*(z + 7)*(3*z - 1)/7
Let n(z) = 3*z**2 - 15*z - 57. Let a be n(-3). Suppose -3*h + 2 = -7. Factor 22*k**h - 39*k**2 - 8*k + a*k**2 - 8*k**3.
2*k*(k - 2)*(7*k + 2)
Suppose -81*m - 43 = f - 76*m, 3*m + 31 = 2*f. Let j(x) be the first derivative of 2*x**f - 8/5*x**5 + 0*x - 22/3*x**3 + 38 + 13/2*x**4. Factor j(o).
-2*o*(o - 2)*(o - 1)*(4*o - 1)
Let m = 2169227/3 - 723075. Let 40/3 - m*b**2 + 2/3*b = 0. What is b?
-4, 5
Let 0 + 3954/5*g - 3/5*g**2 = 0. Calculate g.
0, 1318
Let a(t) be the first derivative of -t**8/560 + t**7/14 - 19*t**6/120 + 2*t**3/3 + 5*t**2 + 152. Let x(d) be the third derivative of a(d). Solve x(l) = 0 for l.
0, 1, 19
Factor 1/5*a**2 - 306/5 - 151/5*a.
(a - 153)*(a + 2)/5
Let p(z) = -z**2 - 442*z - 431. Let o(t) = 4*t + 2. Let f(y) = -5*o(y) - p(y). Solve f(m) = 0.
-421, -1
Let j(g) be the second derivative of 125*g + 4/5*g**5 + 0*g**2 + 0*g**4 + 0 + 0*g**3 - 7/15*g**6. Find t such that j(t) = 0.
0, 8/7
Let -140/3*a**3 - 2450/3*a**2 + 0*a - 2/3*a**4 + 0 = 0. Calculate a.
-35, 0
Let q = -210 + 285. Factor 54*a - q + 151 + 68*a**2 - 186*a - 84.
4*(a - 2)*(17*a + 1)
Let q(p) be the second derivative of p**5/130 - 73*p**4/39 + 44*p**3/3 - 568*p**2/13 - 1291*p. Factor q(j).
2*(j - 142)*(j - 2)**2/13
Let i(g) be the third derivative of -g**8/336 + 2*g**7/35 - 43*g**6/120 + g**5 - 7*g**4/6 - g**2 + 32*g - 5. What is w in i(w) = 0?
0, 1, 2, 7
Let n = 1010/19 - 6690/133. Let n*f - 100/7 - 1/7*f**2 = 0. What is f?
10
Let j be (3 - -1)/(((-1972)/(-87))/17). Factor 2/15*d**5 + 0 - 8/15*d**2 + 0*d**j + 0*d + 2/5*d**4.
2*d**2*(d - 1)*(d + 2)**2/15
Let c(n) be the third derivative of n**8/616 + 2*n**7/1155 - 151*n**6/660 + 97*n**5/165 - 4*n**4/11 - 224*n**2 - n. Find f, given that c(f) = 0.
-8, 0, 1/3, 1, 6
Solve 360*t**4 + 328*t**4 - 27 + 30*t**2 - 691*t**4 = 0.
-3, -1, 1, 3
Let v(b) = b**2 - 1. Let h(t) = -3*t**2 - 4*t + 9. Let r(x) = h(x) + 4*v(x). Let z be r(3). Solve -14*j + 4*j - 5*j**2 - 2*j**2 + 2*j**3 + 15*j**z = 0 for j.
-5, 0, 1
Factor 34963569*q + 5*q**3 - 2*q**3 + 3806139869 + 17739*q**2 + 19164924964.
3*(q + 1971)**3
Let s be (-1 - (-33)/7) + -2. Let g = 67603 - 67599. Factor 16/7*c + 6/7 + s*c**2 - 2/7*c**g + 0*c**3.
-2*(c - 3)*(c + 1)**3/7
Let d(u) = 2*u**2 - 15*u - 22. Let m be d(38). Let x be 10 + m/(-245) + (-9)/21. Factor 0 - x*j**2 + 4/5*j.
-j*(j - 4)/5
Suppose 515/4*c**2 + 1/4*c**3 + 0 + 0*c = 0. What is c?
-515, 0
Let x = -251 - -255. Solve 194*z**2 + 3*z**3 + x - 195*z**2 - z + 0*z**3 - 4*z**3 + 5*z = 0.
-2, -1, 2
Suppose 0 = 36*f + 280 - 100. Let w be 4*1 - 475/(-57) - f. Factor 16/3 + 112/3*q + w*q**2.
4*(q + 2)*(13*q + 2)/3
Factor -4144/5 - 204*n + 4/5*n**2.
4*(n - 259)*(n + 4)/5
Find d such that -64*d + 102 - 9*d**2 + 2*d**3 + 7*d**2 + 18 = 0.
-6, 2, 5
Let x = 732 - 292. Let j = x - 435. Find k such that -k**3 + 1/2*k**j - 1 + 2*k**2 + 1/2*k - k**4 = 0.
-1, 1, 2
Let z(u) be the second derivative of -u**5/10 + 8*u**4/3 + 77*u**3/3 + 60*u**2 - 3*u + 629. What is r in z(r) = 0?
-3, -1, 20
Let q = -82810/33 + 27662/11. What is x in -10/3 + q*x - 32/15*x**2 = 0?
5/4
Let a(g) = 11*g**2 - 20*g - 18. Let w(u) = 2 - 5*u**2 + 6 + 0 + 10*u. Let t(x) = 4*a(x) + 9*w(x). Let t(b) = 0. What is b?
0, 10
Let i(k) be the second derivative of k**6/360 + 53*k**5/120 + 13*k**4/6 - 74*k**3/3 - 68*k. Let c(q) be the second derivative of i(q). Factor c(m).
(m + 1)*(m + 52)
Let r(h) = -35*h**4 - 5*h**3 + 45*h**2 - 25*h - 40. Let g = -120 + 119. Let k(l) = -l**4 + l**2 - l - 1. Let a(c) = g*r(c) + 30*k(c). Factor a(o).
5*(o - 1)**2*(o + 1)*(o + 2)
Find v, given that 12281/3*v**3 - 9448/3*v**4 + 2704/3*v**5 + 3 + 493*v - 7025/3*v**2 = 0.
-1/169, 3/4, 1
Let q(v) be the first derivative of v**6/12 - 29*v**5/5 + 137*v**4/4 - 242*v**3/3 + 373*v**2/4 - 53*v + 1113. Let q(h) = 0. What is h?
1, 2, 53
Let c(h) = 14*h**2 - 4*h**3 - 9*h**2 + 6*h**3 - 13*h**2 - 40*h - 48. Let q(r) = -3*r**3 + 7*r**2 + 40*r + 48. Let z(p) = -4*c(p) - 3*q(p). Factor z(d).
(d + 3)*(d + 4)**2
Let a(w) be the third derivative of -2*w**7/105 + 3*w**6/10 + 34*w**5/15 + 4*w**4 - 12046*w**2. Factor a(d).
-4*d*(d - 12)*(d + 1)*(d + 2)
Let w(p) be the second derivative of -p**5/10 - 14*p**4/3 - 175*p**3/3 + 204*p**2 - 6804*p. Determine z, given that w(z) = 0.
-17, -12, 1
Let m(s) be the second derivative of -s**7/945 - 19*s**6/1620 - 11*s**5/540 + s**4/27 + 2*s**3 + s + 30. Let a(x) be the second derivative of m(x). Factor a(b).
-2*(b + 1)*(b + 4)*(4*b - 1)/9
Suppose u - 270 = -26*u. Suppose 11*g + u*g = 0. Factor 0*n**2 + 5/4*n**3 + g*n + 0.
5*n**3/4
Let l(n) be the second derivative of 15/14*n**2 - 11*n + 1/28*n**4 - 3/7*n**3 + 3. Determine j so that l(j) = 0.
1, 5
Let i = -305 - -307. What is x in -24*x - 50*x**4 - 15 + 43*x**3 + 17*x**2 + 5*x**i - 32*x**3 + 49*x**3 + 7 = 0?
-2/5, 1
Suppose -10*q + 591 = 191. Suppose -2*x - 3*g - q = -7*x, g + 20 = 3*x. Factor -b**2 + 1/2*b**3 + 1/4*b**x + b**4 + 0 - 3/4*b.
b*(b - 1)*(b + 1)**2*(b + 3)/4
Let w be 13*3*(-2 - -3). Let j be 6*6*(131/1310 - (-37)/30). Factor -12 + j*l**2 - 