uppose 5/2*c**5 + 0 + 1805*c**2 + 1425/2*c**3 - 90*c**4 + 0*c = 0. Calculate c.
-2, 0, 19
Suppose -n - 67 = 2*n + 4*z, -2*n - z = 53. Let b = n - -61. Let -16 - 18 + b + v**3 - 3*v = 0. What is v?
-1, 2
Suppose -524 + 1415*l**3 - 33*l**4 + 18*l**4 + 2420*l**2 - 1396 - 1900*l = 0. What is l?
-2, -2/3, 1, 96
Let f = 118 + -122. Let b(y) = -2*y**2 - 20*y - 46. Let h be b(f). Solve 0 + 3/4*d**3 + 0*d - 3/4*d**h = 0 for d.
0, 1
Let y(l) be the first derivative of 22/3*l**3 - 25/9*l**4 + 0*l + 0*l**2 - 38 - 1/540*l**6 - 1/9*l**5. Let u(m) be the third derivative of y(m). Factor u(a).
-2*(a + 10)**2/3
Let x(r) be the first derivative of -r**4/16 - r**3/3 + 39*r**2/8 - 27*r/2 + 1172. Factor x(t).
-(t - 3)*(t - 2)*(t + 9)/4
Let f(x) = x**3 - 8*x**2 + 447*x + 4. Let u be f(0). Suppose -9/2*p**3 - 3/4*p**5 - 27/2 + 15/2*p**u - 24*p**2 + 141/4*p = 0. What is p?
-2, 1, 9
Let 92928 - 334*q - 35*q**2 + 38*q**2 - 722*q = 0. Calculate q.
176
Suppose 0 = -19*a + 298 + 101. Find f, given that -10*f - 3 - 5*f + a + 3*f**2 = 0.
2, 3
Let s(a) be the third derivative of -1/330*a**5 + 8/33*a**3 + 2*a**2 + 14*a + 0 - 7/132*a**4. Solve s(m) = 0.
-8, 1
Factor -1/5*j**3 + 209584584/5 + 1782/5*j**2 - 1058508/5*j.
-(j - 594)**3/5
Suppose -74 + 94 + 202 = 99*x + 24. Let q be 0/((-1)/2*-2). Solve q*o - 6*o**3 + 0 - 3/2*o**x - 3*o**5 - 15/2*o**4 = 0.
-1, -1/2, 0
Let n(c) be the third derivative of -c**6/900 - 11*c**5/450 - 13*c**4/90 - 16*c**3/45 + 20*c**2 + 8*c. Factor n(z).
-2*(z + 1)*(z + 2)*(z + 8)/15
Let c(h) be the second derivative of -19*h + 1/10*h**5 + 24*h**2 + 1 - 10/3*h**3 - 1/2*h**4. Factor c(u).
2*(u - 4)*(u - 2)*(u + 3)
Suppose -31*q + 42*q - 88 = 0. Factor 457*v**2 + q*v - 2 - 459*v**2 + 12.
-2*(v - 5)*(v + 1)
Let s(c) = 3*c**3 + 5027*c**2 - 3453*c - 1727. Let d(r) = -5*r**3 - 10007*r**2 + 6907*r + 3455. Let m(l) = -3*d(l) - 7*s(l). Determine v, given that m(v) = 0.
-862, -1/3, 1
Suppose 23*b - 20*b - 9 = 0. Let v(h) be the first derivative of -24 + 629*h + h**4 + h**2 + 3*h**2 + 4*h**b - 629*h. Factor v(c).
4*c*(c + 1)*(c + 2)
Let h(c) = -c**2 - 499*c - 27466. Let r be h(-436). Factor 5/3*v**4 + 40*v + 190/3*v**r + 25*v**3 + 0.
5*v*(v + 1)*(v + 2)*(v + 12)/3
Let f(k) be the third derivative of -15*k**8/28 - 6334*k**7/105 + 992*k**6/15 - 284*k**5/15 + 8*k**2 - 45*k. Let f(y) = 0. Calculate y.
-71, 0, 2/9, 2/5
Let c(m) = 11*m**2 + 14*m + 6. Let d = -80 + 86. Let h(r) = 32*r**2 + 43*r + 17. Let v(b) = d*h(b) - 17*c(b). Determine j so that v(j) = 0.
-4, 0
Let x = -86253/13 - -6635. Factor -x*h**2 - 8/13 - 10/13*h.
-2*(h + 1)*(h + 4)/13
Suppose 0 = 5*h + 3*j + 29, 2*j - 8 = -2*j. Let o = h + 5. Let m(y) = -y**2 - y. Let r(t) = 6*t**2 + 10*t + 4. Let i(b) = o*m(b) - r(b). Factor i(k).
-4*(k + 1)**2
Factor 9005*b**2 - 2*b**3 + 60*b + 0*b**3 - 9063*b**2.
-2*b*(b - 1)*(b + 30)
Let y(l) be the third derivative of l**5/15 - 131*l**4 + 102966*l**3 + 1072*l**2. Solve y(z) = 0.
393
Let p = 158138/165 - 27166/33. Factor -4/5*x**2 - 104/5*x - p.
-4*(x + 13)**2/5
Let v(t) be the first derivative of t**6/12 - 13*t**5/10 + 3*t**4/4 + 12*t**3 + 280. Let v(c) = 0. What is c?
-2, 0, 3, 12
Let t(f) be the second derivative of 3721/16*f**2 + 144*f + 0 + 1/96*f**4 + 61/24*f**3. Solve t(p) = 0.
-61
Suppose 80/3*h**2 + 4*h**3 - 16/3*h**4 + 16 - 2/3*h**5 - 122/3*h = 0. What is h?
-8, -3, 1
Let s = -48 + 340/7. Let q be 258/(-1032) + (-23)/(-28). Solve 8/7*l**3 - s*l**4 - q*l**2 + 0*l + 0 = 0.
0, 1
Let q(t) be the first derivative of -5*t**3/3 - 85*t**2/2 + 90*t - 6034. Suppose q(j) = 0. Calculate j.
-18, 1
Suppose 5563*b - 2118596 + 7754472 + 6091*b - 169009*b**2 - 2158*b + 169013*b**2 = 0. Calculate b.
-1187
Suppose 7258*q - 3*m + 18 = 7262*q, -q = 2*m - 7. Let 0 + 0*c - 3/7*c**5 - 6*c**q + 27/7*c**4 + 0*c**2 = 0. Calculate c.
0, 2, 7
Let p be 1759776/1426 + (-4)/62. Let f = -18502/15 + p. Factor f*o**5 + 26/15*o**3 - 8/5*o**4 - 4/5*o**2 + 2/15*o + 0.
2*o*(o - 1)**2*(2*o - 1)**2/15
Factor -6/7*x**3 + 0 - 8/7*x**4 - 2/7*x**5 + 0*x**2 + 0*x.
-2*x**3*(x + 1)*(x + 3)/7
Let f be 50*(-6)/(-156) + 21/273. Let q(h) be the first derivative of -1/15*h**5 - 2/3*h**3 - 1/3*h + 1/3*h**4 + 20 + 2/3*h**f. Factor q(j).
-(j - 1)**4/3
Let y = 179936/253 - 41409/23. Let t = -1089 - y. What is q in 16/11*q + 32/11 + t*q**2 = 0?
-4
Let y(w) be the third derivative of 0*w - 31/60*w**4 - 67*w**2 + 0 - 2*w**3 - 1/150*w**5. Find c such that y(c) = 0.
-30, -1
Let s be 1*(107 + -107)*(-1 - 2*-1). Let r(u) be the second derivative of 0*u**2 - 1/90*u**5 + s + 35*u + 2/27*u**4 - 4/27*u**3. Factor r(b).
-2*b*(b - 2)**2/9
Let s(h) be the third derivative of -h**5/30 + 19*h**4/12 - 88*h**3/3 + 764*h**2 + h. Find g, given that s(g) = 0.
8, 11
Suppose 4*a = 2*o - 0*a - 558, 1155 = 4*o + 5*a. Suppose -867 - 951*f**2 - 18*f**4 - 96*f**3 + 9*f**4 + o*f**2 + 1632*f + 6*f**4 = 0. Calculate f.
-17, 1
Suppose 51035 - 8603 = 12*l. Let j = 81350/23 - l. Factor -2/23*p**3 - 8/23*p**2 - 12/23 + j*p.
-2*(p - 1)**2*(p + 6)/23
Let -63/4*k**2 + 15/4*k**4 + 12 - 57/2*k**3 + 57/2*k = 0. What is k?
-1, -2/5, 1, 8
Suppose 9*o + 3*t = 13*o - 30, 0 = -2*o + t + 12. Find i, given that 1/11*i**4 - 4/11 - 1/11*i**o - i - 9/11*i**2 = 0.
-1, 4
Suppose 686*c = 619*c. Factor 0*u + 6/19*u**2 + 4/19*u**3 - 2/19*u**4 + c.
-2*u**2*(u - 3)*(u + 1)/19
Suppose 0 = -4*q - 3*c - 20 + 13, -33 = -4*q + 5*c. Factor -48*p - 2*p**q - p**2 - 57 - 12*p.
-3*(p + 1)*(p + 19)
Suppose 0 = -2*j - 3*b, 38 = -3*j + 5*b - 0. Let w(p) = -7*p**2 - 90*p - 6. Let n(o) = 19*o**2 + 270*o + 17. Let d(m) = j*n(m) - 17*w(m). Factor d(x).
5*x*(x - 18)
Factor 178*j**2 + 212*j**3 + 217*j**2 + 4*j**4 + 13*j**2 + 21729*j - 21729*j.
4*j**2*(j + 2)*(j + 51)
Let s(j) be the third derivative of -1/1200*j**6 + 0 + 0*j**3 - 6*j**2 + 8*j + 1/120*j**4 + 1/600*j**5. Suppose s(k) = 0. What is k?
-1, 0, 2
Let m(y) be the third derivative of -y**8/84 + 2*y**7/35 + 23*y**6/30 - 9*y**5/5 - 11*y**4/3 + 16*y**3 - 970*y**2. Find f such that m(f) = 0.
-4, -1, 1, 6
Let g = 9 - 4. Let l(w) = 2*w**3 - 16*w**2 - 18*w + 4. Let f be l(9). Solve -96*z**3 + z**5 + 19*z**2 + 18*z**2 - 28*z**g + 23*z**2 + 48*z - 135*z**f = 0 for z.
-4, -1, -2/3, 0, 2/3
Let v(j) = -2*j**2 - 2*j - 1. Let n(p) = -25*p**2 - 403*p + 238. Let b(s) = -n(s) - 4*v(s). Factor b(y).
3*(y + 13)*(11*y - 6)
Let s(m) = 2*m**2 - 7*m - 9. Let p(b) = 28*b - 3 + 47 - 10*b**2 + 6*b. Let g(z) = -3*p(z) - 16*s(z). Solve g(h) = 0.
-1, 6
Let w be (-10)/((-3 + -2)/(215/86)). Let y(g) be the second derivative of -g**6 - 5*g**4 + 0 - 10/3*g**3 - 13/4*g**w + 0*g**2 - 15*g - 5/42*g**7. Factor y(a).
-5*a*(a + 1)**2*(a + 2)**2
Factor 7912*p**2 + 14552211488 + 6314544*p + 4*p**3 + 22070784*p + 10544*p**2.
4*(p + 1538)**3
Let d be ((-5)/(-4))/((13377/(-312))/(-49)) + -1. What is a in 1083/7 + d*a**2 + 114/7*a = 0?
-19
Let g(x) be the third derivative of x**8/112 - 3*x**7/70 - x**6/40 + 11*x**5/20 - 3*x**4/2 + 2*x**3 - 79*x**2. Factor g(t).
3*(t - 2)*(t - 1)**3*(t + 2)
Determine a, given that -13485*a**4 - 32*a**5 - 192 + 1292*a**2 + 486*a**3 + 335*a + 13405*a**4 + 81*a = 0.
-4, -2, -3/4, 1/4, 4
Let d(k) be the second derivative of -k**5/10 + 5*k**4 - 56*k**3/3 - 232*k + 18. Let d(l) = 0. What is l?
0, 2, 28
Suppose -r + 68 = 2*r - 4*g, 27 = 2*r + g. Suppose 0 = 4*m - 20 - r. Factor 3*v**2 + 0*v**2 - 15 - 3*v - m*v + 0*v.
3*(v - 5)*(v + 1)
Let b(r) = r**4 + 32*r**3 - 44*r**2 - 63*r + 3. Let o(q) = -8*q**4 - 288*q**3 + 396*q**2 + 564*q - 28. Let u(t) = 28*b(t) + 3*o(t). Factor u(y).
4*y*(y - 2)*(y + 1)*(y + 9)
Let c(m) be the third derivative of -m**6/25 + m**5/100 + 11*m**4/20 - 3*m**3/2 - 1221*m**2. Suppose c(h) = 0. Calculate h.
-15/8, 1
Let n = 9 - -37. Let v = n - 43. Find m, given that 3 + 8*m - 5*m - 6*m**2 + v*m**5 + 4*m**3 + m**4 - 10*m**3 + 2*m**4 = 0.
-1, 1
Suppose 13*u = 27*u + 252. Let m be 826/(-98) + u/(-2). Factor 1/7*l**2 + 4/7*l + m.
(l + 2)**2/7
Factor -3*x**3 + 15*x**3 - 12*x**2 - 2*x**3 - 8*x**3.
2*x**2*(x - 6)
Let p(w) = 8*w**2 + 1 - 4*w**3 - 15*w + 9 + 3*w**3 - 1. Let v(f) = f**3 - 2*f**2 + f + 1. Let h(r) = 2*p(r) - 2*v(r). What is j in h(j) = 0?
1, 2
Find w, given that 243/7*w**3 + 753/7*w - 747/7*w**2 - 36 + 3/7*w**4 = 0.
-84, 1
Let o(h) be the first derivative of 4*h**3 - 6*h + 5/4*h**4 + 9/2*h**2 - 7. Let d(j) be the first derivat