9 + 18 = -32*s - 66*s + 9. Factor 0 - 25/3*t**3 - 10*t**2 + s*t + 5/3*t**4.
5*t**2*(t - 6)*(t + 1)/3
Let q(y) be the first derivative of 2*y**3/3 + 65*y**2 + 252*y + 3502. Factor q(j).
2*(j + 2)*(j + 63)
Let g(r) be the third derivative of -r**5/120 + 53*r**4/48 - 20*r**3 - 2*r**2 + 1367*r. Factor g(q).
-(q - 48)*(q - 5)/2
Let z(c) be the second derivative of c**6/120 - 7*c**5/80 - c**4/16 + 23*c**3/24 - 7*c**2/4 + 451*c. Find n, given that z(n) = 0.
-2, 1, 7
Let r be 2 + 11 - 2304/510 - 24/(-204). Let r - 1/5*a**3 + 1/5*a - 43/5*a**2 = 0. Calculate a.
-43, -1, 1
Let o = -60502 - -121007/2. Factor o*i**2 - 3*i + 0.
3*i*(i - 2)/2
Let s(v) = v + 31*v**3 - 52*v**3 + 28*v**3 - 13*v**2 - 5. Let h(r) = 3*r**3 - 6*r**2 + r - 2. Let i(w) = 15*h(w) - 6*s(w). Suppose i(x) = 0. What is x?
0, 1, 3
Let h(n) be the second derivative of 25*n**4/12 - 1015*n**3/6 - 205*n**2 - 326*n - 1. Solve h(l) = 0.
-2/5, 41
Let c(n) be the third derivative of n**8/151200 - n**7/37800 - 31*n**5/12 + 2*n**2. Let f(j) be the third derivative of c(j). Factor f(v).
2*v*(v - 1)/15
Suppose 17*l + 128 - 332 = 0. Determine t so that 3*t**3 + 7*t**5 + 2*t**3 - l*t**5 - 3*t + 3*t = 0.
-1, 0, 1
Let f(o) = 19*o**3 + 87*o**2 + 168*o - 15. Let i(n) = -3*n**3 + n**2 + 3. Let x(k) = f(k) + 5*i(k). Factor x(c).
4*c*(c + 2)*(c + 21)
Let r(n) be the first derivative of -5/14*n**4 - 2/21*n**3 - 2/5*n**5 + 0*n**2 + 0*n + 41 - 1/7*n**6. Determine q so that r(q) = 0.
-1, -1/3, 0
Let o(g) be the second derivative of -g**6/540 + g**5/90 + g**4/12 + 85*g**3/3 + 185*g. Let j(r) be the second derivative of o(r). Let j(k) = 0. What is k?
-1, 3
Let i(x) = -x**3 + 6*x**2 + 2. Suppose -2*k + 15 + 7 = 5*m, -4*k = -2*m - 20. Let h be i(k). Solve -a - 6*a + 5*a - 6*a - 12*a**h = 0.
-2/3, 0
Determine k, given that 424/13*k**2 + 98/13*k**4 - 32*k**3 + 2/13*k**5 + 0*k + 0 = 0.
-53, 0, 2
Let -2/9*o**2 + 680/3 + 8/9*o = 0. Calculate o.
-30, 34
Suppose -2*q = -2*t + 2*q - 8, 4*t - 40 = q. Factor 3*z**2 + t*z + 16 + 1/4*z**3.
(z + 4)**3/4
Let c(j) be the second derivative of j**5/40 - 11*j**4/6 + 437*j**3/12 + 529*j**2/2 - 957*j. Factor c(w).
(w - 23)**2*(w + 2)/2
Let r(c) be the first derivative of 2*c**7/21 - 8*c**6/5 + 7*c**5 + 4*c**4 - 24*c**3 + 3*c - 22. Let h(s) be the first derivative of r(s). Factor h(t).
4*t*(t - 6)**2*(t - 1)*(t + 1)
Let t(q) be the second derivative of -q**4/6 + 787*q**3/21 - 48*q**2 + 14*q - 27. Factor t(h).
-2*(h - 112)*(7*h - 3)/7
Let h(x) = x**3 + x + 4. Let u(j) = 25*j**3 - 2155*j**2 + 233295*j - 231045. Let w(g) = 20*h(g) - u(g). Determine f so that w(f) = 0.
1, 215
Let y = -439/54 + 49/6. Let z(i) be the first derivative of y*i**3 + 0*i + 1/18*i**2 + 1. Factor z(o).
o*(o + 1)/9
Let g(j) be the third derivative of -j**6/240 - 209*j**5/120 - 409*j**4/16 - 609*j**3/4 + 29*j**2 - 10*j + 2. Factor g(f).
-(f + 3)**2*(f + 203)/2
Let m = -158 - -164. What is w in -6*w**3 - 12*w**4 + 18*w**3 + 10*w**5 - 18*w**2 + 14*w**2 - m*w**5 = 0?
0, 1
Let w(z) be the third derivative of 17/20*z**6 - 8*z + 14/5*z**5 + 17*z**2 + 0*z**3 + 0 + 5/3*z**4 + 1/15*z**7. Factor w(x).
2*x*(x + 2)*(x + 5)*(7*x + 2)
Let t(g) = -g**2 - 16*g + 136. Let q be t(-22). Suppose -4*n - 4*v - q = 0, -5*v = -11*n + 9*n + 5. Factor -1/2*o**3 + 0*o - o**2 + n.
-o**2*(o + 2)/2
Let l(b) = -10*b**3 - 40*b**2 - 20*b + 24. Let k(h) = 2 + 3*h**2 - 4*h**2 - 18*h - 24*h + 43*h. Let t(p) = 4*k(p) - l(p). Factor t(r).
2*(r + 2)**2*(5*r - 2)
Let x(p) be the second derivative of p**5/4 - 95*p**4/12 + 220*p**3/3 + 6241*p. Let x(g) = 0. What is g?
0, 8, 11
Let z = -12/7 + 122/63. Let q be (((-1116)/(-48))/31)/((-11)/(-8) - 1). Factor 0*y**3 + 4/9*y**4 + 0 + 2/9*y - 4/9*y**q - z*y**5.
-2*y*(y - 1)**3*(y + 1)/9
Suppose -46 = -18*g + 116. Solve -204 + g*r**3 + 592*r - 556*r**2 + 67*r**3 + 22*r**3 + 44 - 46*r**2 = 0 for r.
4/7, 5
Let r = 104002/1513 + -5856/89. Suppose -6*m + 4/17*m**2 + r = 0. What is m?
1/2, 25
Let m(s) = -5*s**4 - 49*s**3 + 362*s**2 - 620*s + 318. Let r(x) = -3*x**3 - x**2 + 1. Let l(f) = m(f) + 2*r(f). Solve l(a) = 0 for a.
-16, 1, 2
Factor -35 - 586*q + 277*q + 273*q - q**2.
-(q + 1)*(q + 35)
Determine o, given that -10/3*o**2 + 514/3*o - 68 = 0.
2/5, 51
Suppose 0 = 411*f + 287 - 1756 + 236. Factor 1/2*t**5 + 2*t**2 + 0 - 3*t**f - 2*t**4 + 5/2*t.
t*(t - 5)*(t - 1)*(t + 1)**2/2
Suppose 0 = 5*w - 3*d - 18, -2*w + 28 = -0*d + 4*d. Let h be 30*(33/w)/11. Find o, given that -40 + 33*o - h*o**2 - 13*o + 30*o + 20*o = 0.
2/3, 4
Let h = -181843/5 - -36379. Factor -14/5*x**2 - h - 186/5*x.
-2*(x + 13)*(7*x + 2)/5
Let n be ((-2)/(-4))/1 - 108/(-24). Factor -4*f**2 + 32*f + n*f**2 - 7*f**2 + 2*f**2 + 6*f**2.
2*f*(f + 16)
Let b = -2965 - -1010. Let r = 1957 + b. Suppose -18*v + 24/5 - 81/5*v**4 + 3*v**5 + 15*v**3 + 57/5*v**r = 0. What is v?
-1, 2/5, 1, 4
Let y(g) be the third derivative of 0*g + 11/144*g**4 + 7/360*g**5 - 132 - g**2 - 1/6*g**3. Factor y(w).
(w + 2)*(7*w - 3)/6
Factor -3844/9*j + 1847042/9 + 2/9*j**2.
2*(j - 961)**2/9
Let c be (130/1760*-658)/(54/(-15)). Let a = -1/1584 + c. Solve 21/2*u**2 + a + 3/2*u**3 + 45/2*u = 0 for u.
-3, -1
Find f such that -23*f**2 + 120*f**2 - 41*f**2 - 400 - 360*f - 4*f**2 - 13*f**2 - f**3 = 0.
-1, 20
Suppose 9*l - 24 = l. What is o in -21*o + 5*o - 15*o**2 - l*o**3 - o**2 - o**3 = 0?
-2, 0
Suppose 0 = -4*z + 12*n - 7*n - 9, 0 = -5*z + 3*n + 5. Let q(r) be the first derivative of r + 14 - 1/4*r**2 + 1/8*r**z - 1/3*r**3. Let q(a) = 0. What is a?
-1, 1, 2
Let s = 2440 - 46416/19. Let d = s - -243/76. What is x in d*x**3 - 1/4*x + 0 + 0*x**2 = 0?
-1, 0, 1
Let p(i) be the second derivative of -9*i**5/40 - 109*i**4/8 - 1313*i**3/4 - 15717*i**2/4 - 2*i - 319. Determine n, given that p(n) = 0.
-13, -31/3
Let n = -198 + 201. Suppose -120*q + 189 - 520 - n*q**2 - 869 = 0. Calculate q.
-20
Suppose 33*c = 38*c - 575. Factor -367 - 120 - c - 84*r - 3*r**2 + 14.
-3*(r + 14)**2
Suppose -4995 = 44*z - 5083. Let -48/7 - 46/7*s**3 + 8*s + 52/7*s**z + 6/7*s**4 = 0. Calculate s.
-1, 2/3, 2, 6
Factor -705*c + 2209/2*c**2 + 225/2.
(47*c - 15)**2/2
What is g in 8*g**2 + 0 + 10/3*g**4 + 16/3*g - 12*g**3 = 0?
-2/5, 0, 2
Let g be (17/(-4) - -5)*4. Let u + g*u**3 - 24*u - 5*u + 8 + 4*u**3 - 2*u**2 = 0. Calculate u.
-2, 2/7, 2
Let m(r) = 2*r**3 + 90*r**2 + 170*r + 3610. Let b be m(-44). What is p in 0 - 2/13*p**b - 12/13*p = 0?
-6, 0
Let g = 94 - 90. Find c, given that 2*c**5 - 27*c**g - 32*c**4 + 12*c - 26*c**4 - 14*c**2 - 6*c**3 + 91*c**4 = 0.
-3, -2, 0, 1
Let b = 166 + -108. Suppose -3*s - b*s = -122. Factor 3/4*k**3 + 0*k**s + 0*k + 0.
3*k**3/4
Suppose 5 - 37 = 4*t. Let q be (t/(-4 - -28))/((-15)/9). Factor 13/5*i**2 - q + 0*i + 12/5*i**3.
(i + 1)*(3*i + 1)*(4*i - 1)/5
Let k(h) be the third derivative of 0 + 157*h**2 - 1/2*h**4 + 0*h**3 + 1/15*h**5 + 1/120*h**6 + 0*h. Determine l, given that k(l) = 0.
-6, 0, 2
Let k = -166 + 88. Let q = k + 82. Determine z so that 416*z**3 + 4*z**q + 5*z - 420*z**3 + 0 - 2*z**2 - z**5 - 2 = 0.
-1, 1, 2
Let r(h) = -9*h**2 + 11875*h + 84. Let c(t) = -21*t**2 + 27708*t + 198. Let z(b) = -14*c(b) + 33*r(b). Factor z(l).
-3*l*(l - 1321)
Let j(d) be the third derivative of -d**8/784 + 6*d**7/245 + 19*d**6/56 + 111*d**5/70 + 53*d**4/14 + 36*d**3/7 + 1608*d**2. What is f in j(f) = 0?
-2, -1, 18
Let f = 15492 + -15489. Let r(g) be the first derivative of -2/7*g**f + 24/7*g + 3/28*g**4 - 6/7*g**2 - 25. Find a such that r(a) = 0.
-2, 2
Let w(y) be the second derivative of -y**4/60 - 151*y**3/10 - 451*y**2/5 + 76*y + 5. Factor w(j).
-(j + 2)*(j + 451)/5
Let g(x) = x**2 - 9*x + 2. Let i be g(9). Determine y, given that -10*y**3 - 10*y**4 - 7*y**4 + 9*y**4 - i*y**2 = 0.
-1, -1/4, 0
Suppose 0 = m + 4*m. Suppose m = -6*j + 11 + 1. Let 28*w**5 - 65*w**2 - 10*w**j + 165*w**3 + 17*w**5 - 195*w**4 + 50*w**4 + 10*w = 0. What is w?
0, 2/9, 1
Suppose -2*k + 3*a = -225, -10109*k - 6*a - 282 = -10111*k. Determine b so that k*b + 2940 + 3/5*b**2 = 0.
-70
Let v be (22/(-66))/((-1)/9). Find z, given that -4*z**3 - 14*z**2 + 8*z**v + z**4 - 20*z**3 + 9*z**4 + 12*z = 0.
-1, 0, 3/5, 2
Let b(z) be the first derivative of 13/6*z**3 + 62 + 1/8*z**4 + 12*z**2 + 18*z. Factor b(u).
(u + 1)*(u + 6)**2/2
Let x(h) be the first derivative of 3*h**5/35 - 9*h**4/14 + 3*h**3/7 + 39*h**2/7 - 72*h/7 + 745. Find r, given