(q) = -12*q + 666. Let g be h(54). Suppose 4*t = 5*z, 14*t = g*t - 2*z. Factor 1/2*l**4 + t + 2*l**3 + l + 5/2*l**2.
l*(l + 1)**2*(l + 2)/2
Let h = 46 - 43. Suppose -h*w = 2 - 11. Factor -1 + 1 + 414*o**3 - 418*o**w.
-4*o**3
Let c = -239/37 + 791/111. Let q(b) = b**3 + b**2 - b - 1. Let r be q(-1). What is l in 14/3*l**2 - 4/3*l**3 - c*l**4 - 8/3*l + r = 0?
-4, 0, 1
Let k(n) = 19*n**2 - 272*n - 2296. Let i(v) = 3*v**2 + 10*v. Let r(d) = 7*i(d) - k(d). Factor r(j).
2*(j + 7)*(j + 164)
Suppose -4*q = -3*b + 520, -3*q + 358 = -3*b + 5*b. Let o be (b/99)/(-4) + 53/18. Factor -o*v**2 - 3*v - 1/2.
-(v + 1)*(5*v + 1)/2
Suppose 12*r - 273 = -141. Let j be (-44)/(-16) - r/(-44). Factor -16/7*t + 64/7*t**2 + 0 - 12*t**j + 36/7*t**4.
4*t*(t - 1)*(3*t - 2)**2/7
Suppose -3/4*p**5 - 43/4*p**2 - 19/4*p**3 + 6 + 19/4*p**4 + 11/2*p = 0. What is p?
-1, -2/3, 1, 3, 4
Factor 5/2*x**4 + 225/2*x + 0 + 151/2*x**3 + 1155/2*x**2.
x*(x + 15)**2*(5*x + 1)/2
Let u(s) be the third derivative of -1/1890*s**7 + 1/54*s**4 + 1/30*s**5 - s**2 + 0 + 1/360*s**6 - 4/9*s**3 + 11*s. Let u(f) = 0. Calculate f.
-2, 1, 6
Let o be (290/(-20))/((-2)/(-44)). Let p = 1599/5 + o. Solve -4/5*c**2 + 4/5*c**3 + 4/5 - p*c = 0.
-1, 1
Let u = 20743/14 + -10368/7. Let p(v) be the third derivative of 0*v + 0 - 1/15*v**5 - 20*v**2 + 0*v**3 - u*v**4. Let p(c) = 0. What is c?
-3, 0
Let g = -1916922 - -1916924. Solve 61/2*i + 255/4*i**g - 4*i**4 + 15/4 + 6*i**3 = 0 for i.
-3, -1/4, 5
Let i(l) be the third derivative of -l**5/180 + l**4/6 + 1003*l**2. Find w, given that i(w) = 0.
0, 12
Let u(o) be the first derivative of -3*o**4/4 - 27*o**3 - 537*o**2/2 - 459*o + 5242. Factor u(k).
-3*(k + 1)*(k + 9)*(k + 17)
Let j be ((-35)/28)/(11/(-44)*1). Let q(p) be the first derivative of 22 - 2/3*p**3 + 3/10*p**j + 0*p**2 - 1/4*p**4 + 1/2*p + 1/6*p**6. Solve q(d) = 0 for d.
-1, 1/2, 1
Suppose 2*h + 987 = 3*n, 0 = -n - h + 250 + 74. Find r, given that 165*r**2 - 45*r + 167*r**2 - n*r**2 = 0.
0, 9
Let j be (-17 - 552/(-32))/1. Factor -1/4*p**3 - j*p**4 + 5/2 + 15/4*p**2 - 23/4*p.
-(p - 2)*(p - 1)**2*(p + 5)/4
Let a = -167 + 158. Let u be 6/252*-2*(a - 0). Let -9/7 - u*j**3 + 3/7*j + 9/7*j**2 = 0. What is j?
-1, 1, 3
Let b = -5/2281 - -38797/9124. Factor 1/2 + 9*g**2 + 21/4*g + b*g**3.
(g + 1)**2*(17*g + 2)/4
Determine h so that 167*h + 84 - 1/4*h**4 + 79/4*h**3 + 103*h**2 = 0.
-2, -1, 84
What is b in -362*b**2 + 4*b + 30230 - 3*b + 2*b - 30230 = 0?
0, 3/362
Let q be 210/(-50)*(-15)/9. Suppose 3*o = 3*v - 3, -q*o + 3*o = 5*v + 4. Factor -1/2*d + 1/4*d**2 + v.
d*(d - 2)/4
Let j = -131582/3 + 43196. Let f = j + 670. Factor -f*n - 4 - 4/3*n**2.
-4*(n + 1)*(n + 3)/3
Let c = 108 - 150. Let d be c/(-105) + (-13)/45. Factor 1/9*h**2 + 1/9*h - d*h**3 - 1/9.
-(h - 1)**2*(h + 1)/9
Let -20*f**2 + 2808*f - 569468 + 17*f**2 - 87604 = 0. What is f?
468
Solve 2561*g - 819*g + 2325*g**4 + 174 + 4266*g**2 + 539*g**4 + 32*g**5 - 645*g**3 + 1496*g**2 + 7671*g**3 = 0 for g.
-87, -1, -1/4
Let w(n) be the second derivative of -25*n - 7/6*n**3 - 5/2*n**2 - 11/60*n**4 + 2 - 1/100*n**5. Factor w(m).
-(m + 1)*(m + 5)**2/5
Suppose -19*g + 21*g - 22 = 0. Find m, given that -8*m**2 - 10*m**2 - 6*m**3 + 8*m**4 - g*m + 7*m = 0.
-1, -1/4, 0, 2
Let j be 132/(-242) - (-2)/(-22)*-5440. Let w = 497 - j. Factor 3/4*r**2 - w*r + 3.
3*(r - 2)**2/4
Let h(k) be the third derivative of -k**6/600 - k**5/100 + k**4/120 + k**3/10 - 2*k**2 - 205. Solve h(v) = 0.
-3, -1, 1
Let g(y) be the first derivative of -2/15*y**5 - 16/3*y**3 - 5/3*y**4 - 71 + 50/3*y + 10/3*y**2. Let g(m) = 0. Calculate m.
-5, -1, 1
Determine u, given that -407016/7*u**2 - 4/7*u**4 + 2564/7*u**3 - 118496 - 177008*u = 0.
-2, -1, 322
Let r = 664 + -606. Suppose 6*j - 58 = -r. Suppose -n**4 + 5/3*n**5 - 2/3*n**3 + 0 + 0*n + j*n**2 = 0. What is n?
-2/5, 0, 1
Let g be -2 - -8 - 0/(-18). Let p(n) = -n**4 - 2*n**3. Let k(y) = 8*y**4 - 24*y**3 - 40*y**2 + 36*y + 38. Let a(f) = g*p(f) + k(f). Factor a(v).
2*(v - 19)*(v - 1)*(v + 1)**2
Let z(j) be the third derivative of 0*j**6 - 1/12*j**4 + 169*j**2 + 1/420*j**7 + j**3 + 0*j + 0 - 3/40*j**5. Factor z(d).
(d - 3)*(d - 1)*(d + 2)**2/2
Let v(w) = -55*w**2 + 195*w - 197. Let x(y) = 73*y**2 - 195*y + 198. Let d(g) = -4*v(g) - 3*x(g). Suppose d(l) = 0. Calculate l.
1, 194
Let s(i) be the third derivative of 5/3*i**3 + 1/12*i**6 + 5/4*i**4 + 32*i**2 - 5/8*i**5 + 0 + 0*i. Suppose s(q) = 0. What is q?
-1/4, 2
Let y = 686 + -530. Factor -5*j**2 - 6*j**2 - y + 13*j**2 + 91*j - 6*j**2 - 27*j.
-4*(j - 13)*(j - 3)
Let p(r) = -r**4 - 158*r**3 - 16*r**2 + 622*r. Let j(i) = 6*i**4 + 633*i**3 + 66*i**2 - 2487*i. Let k(v) = 2*j(v) + 9*p(v). Determine z so that k(z) = 0.
-2, 0, 2, 52
Let z(d) be the first derivative of 25/2*d**4 + 12*d**2 - 4 - 16/5*d - 20*d**3. Suppose z(y) = 0. What is y?
2/5
Let r be ((-8)/14*2)/((-58674)/539 - -108). Let 0*q - 16/3*q**2 + 0 + r*q**4 - 16/3*q**3 + 4/3*q**5 = 0. Calculate q.
-2, -1, 0, 2
Let c = 536 - 511. Suppose -c*l = -18*l - 14. Solve 3/5*v - 1/5*v**l - 2/5 = 0.
1, 2
Suppose 0*w - w = 11*w. Let g(z) = z**3 + 4*z**2 - 2*z. Let y be g(w). Factor y + 4/7*l**2 + 12/7*l.
4*l*(l + 3)/7
Let t be (-2)/((3*(-10)/(-15))/(-15)). Suppose -t*r + 332 = -298. Factor 98*f + 2/7*f**4 + 6*f**3 + 0 + r*f**2.
2*f*(f + 7)**3/7
Let w(x) = 4*x**3 + 21*x**2 + 34*x - 44. Let j(v) = -6*v**3 - 31*v**2 - 51*v + 68. Let b(g) = -5*j(g) - 8*w(g). Let b(r) = 0. What is r?
-4, -3, 1/2
Let m be (28/(-70))/((-2)/460). Factor -m*x**2 - 20*x - 100 + 5*x**4 + 361*x**2 - 130*x**2 + 40*x**3 - 64*x**2.
5*(x - 1)*(x + 2)**2*(x + 5)
Let r(l) be the second derivative of -10*l**7/21 + 22*l**6/5 - 61*l**5/5 + 35*l**4/3 + 4*l**3 - 16*l**2 - 694*l. What is p in r(p) = 0?
-2/5, 1, 4
Let l(p) be the third derivative of -p**7/105 - p**6/6 - 14*p**5/15 - 2*p**4 + 3200*p**2. Factor l(y).
-2*y*(y + 2)**2*(y + 6)
Factor 3/2*i**3 + 1/2*i**2 + 1/8*i**5 - 2*i - 7/8*i**4 + 0.
i*(i - 4)*(i - 2)**2*(i + 1)/8
Let h(s) be the second derivative of 5/3*s**3 + 75/2*s**2 + 5*s - 5/12*s**4 - 6. Let h(t) = 0. Calculate t.
-3, 5
Let x(v) be the first derivative of 1/8*v**4 + 3 - 1/4*v**3 - 18*v + 0*v**2. Let z(i) be the first derivative of x(i). Factor z(l).
3*l*(l - 1)/2
Let s(j) = -2*j - 1. Let g be s(-2). Let u be (0 - g) + 234/18. Factor u*f**5 - 2*f**2 - 15*f**4 + 7*f**2 + f - f.
5*f**2*(f - 1)**2*(2*f + 1)
Let u(s) be the third derivative of -s**6/50 + 1169*s**5/100 - 73*s**4/10 + 613*s**2. Factor u(c).
-3*c*(c - 292)*(4*c - 1)/5
Let c(v) be the third derivative of v**5/30 + 55*v**4/12 + 172*v**3 - 3526*v**2. Factor c(k).
2*(k + 12)*(k + 43)
Let x be ((-5)/(45/(-18)))/(1/24). Factor 24*k**3 - 10*k - x - 100*k**4 - 12*k - 44*k + 97*k**4 + 9*k**2.
-3*(k - 8)*(k - 2)*(k + 1)**2
Let k(s) be the second derivative of -s**6/10 - 21*s**5/20 - 2*s**4 + 8*s**3 - 3673*s. What is t in k(t) = 0?
-4, 0, 1
Let r(t) be the first derivative of -t**6/3 + 14*t**5/5 - 9*t**4 + 44*t**3/3 - 13*t**2 + 6*t - 371. Factor r(c).
-2*(c - 3)*(c - 1)**4
Suppose 0 = -102*u + 111*u - 738. Suppose 42*g - u = 86. Factor 1/3*b**g + 1/6*b**5 + 1/6*b**3 + 0 + 0*b + 0*b**2.
b**3*(b + 1)**2/6
Let s be (-8 + 6)/((-1)/(-1)). Let j be (s/14)/(3/((-441)/14)). Determine i so that -3/2 + j*i**2 + 0*i = 0.
-1, 1
Let i(m) = 780*m**3 + 329860*m**2 - 463508*m + 132056. Let b(z) = -20*z**3 - 8458*z**2 + 11885*z - 3386. Let t(w) = 116*b(w) + 3*i(w). Factor t(j).
4*(j - 1)*(j + 424)*(5*j - 2)
Let c(u) be the second derivative of -2*u**6/15 - 168*u**5/5 + 170*u**4/3 + 112*u**3 - 338*u**2 + 919*u. What is i in c(i) = 0?
-169, -1, 1
Let m = 1422 - 1417. Suppose -m*o = -b - 22, 20*o - 4*b - 4 = 21*o. Determine t, given that 4/3*t**2 + 0 + 12*t**3 + 4*t**4 - o*t - 8/3*t**5 = 0.
-1, 0, 1/2, 3
Let s(j) be the second derivative of -j**6/30 - 79*j**5/20 - 186*j**4 - 4320*j**3 - 48384*j**2 - 5*j - 449. Determine w, given that s(w) = 0.
-24, -7
Let i(x) = -2*x + 26. Let t be i(7). Let y be (-1)/4 - (-27)/t. Factor -5*c**2 - 6*c**2 + 4*c**2 + 10*c - 2 - c**y.
-2*(c - 1)*(4*c - 1)
Let y(t) be the second derivative of t**5/20 + 2*t**4/3 - 14*t**3/3 - 40*t**2 - 6161*t. Factor y(b).
(b - 4)*(b + 2)*(b + 10)
Suppose -4*x = -15 - 21. Suppose y + x = 37. Suppose 91 - 10*r**2 - 10*r**2 - 99 - y*r = 0. What is r?
-1, -2/5
Let z be 10/8 - (-1755)/(-108). Let 