 Determine c so that 33/4*c**2 - 9 - 39/4*c + x*c**4 + 39/4*c**3 = 0.
-12, -1, 1
Let w be -3 - 204/(-60) - 2*245. Let j = w + 492. Factor 12/5*r + j + 3/5*r**2.
3*(r + 2)**2/5
Let s(n) be the second derivative of 3*n**5/20 - 35*n**4/4 + 125*n**3 - 7777*n. Factor s(l).
3*l*(l - 25)*(l - 10)
Let z(v) = -v**3 - 9*v**2 + 9*v + 13. Let r be z(4). Let k = r - -162. Find w, given that 6/5 + 2*w**2 + 14/5*w + 2/5*w**k = 0.
-3, -1
Let v(b) = -18*b**3 - 684*b**2 + 4014*b - 928. Let d(f) = -18*f**3 - 683*f**2 + 4016*f - 911. Let p(u) = -4*d(u) + 3*v(u). Let p(l) = 0. What is l?
-43, 2/9, 5
Let u(a) be the first derivative of 2*a**3 + 15007*a**2 + 250 - a**3 + 80 - 15001*a**2. Determine d so that u(d) = 0.
-4, 0
Let r(y) be the third derivative of -y**6/40 - 11*y**5/300 + 4*y**4/15 - 2*y**3/5 - 323*y**2. Factor r(x).
-(x + 2)*(3*x - 2)*(5*x - 3)/5
Factor 240*g**2 - 108*g**4 - 12*g**4 - 3416*g**3 - 288*g - 76*g**4 + 1760*g**2.
-4*g*(g + 18)*(7*g - 2)**2
Suppose 5*v - 315 = 1385. Factor -100 - 20*i**2 + v*i + 23*i**2 + 32*i**2.
5*(i + 10)*(7*i - 2)
Let h(f) be the third derivative of f**7/315 - 31*f**6/900 + 17*f**5/150 - f**4/20 - 1172*f**2. Factor h(o).
2*o*(o - 3)**2*(5*o - 1)/15
Let g(n) be the second derivative of 2*n + 8/5*n**5 + 0*n**3 + 4/3*n**4 + 2/21*n**7 + 9 + 2/3*n**6 + 0*n**2. Factor g(x).
4*x**2*(x + 1)*(x + 2)**2
Let r(i) be the second derivative of -3*i**5/10 - 103*i**4/3 - 10609*i**3/9 + 4*i + 464. Determine v, given that r(v) = 0.
-103/3, 0
Let n(g) be the first derivative of 324*g**5/35 - 5382*g**4/7 + 1360*g**3/3 - 528*g**2/7 + 8283. Solve n(j) = 0.
0, 2/9, 66
Suppose -126*a - 132 = -132*a. Suppose 13 = 2*k + 2*r - r, 2*r - a = -3*k. Factor 1/4*x**2 + 3/4*x + 1/4*x**k - 3/4*x**3 - 1/2.
(x - 2)*(x - 1)**2*(x + 1)/4
Let v(d) = -d**3 + d. Suppose 44*p - 2 = 42*p. Let x(w) = 3*w**4 - 98*w**3 + 270*w**2 - 262*w + 87. Let c(n) = p*x(n) - 2*v(n). Factor c(q).
3*(q - 29)*(q - 1)**3
Let p(t) be the third derivative of -t**5/40 - 7*t**4/16 - 3*t**3/2 + 1213*t**2. Determine f so that p(f) = 0.
-6, -1
Let q = 12776/13 - 38302/39. Factor -q*z**3 + 20/3 + 16/3*z**2 - 34/3*z.
-2*(z - 5)*(z - 2)*(z - 1)/3
Suppose -n - n = -p - 9, 2*n + 3*p = 21. Let g be ((-2)/4 - (-25)/30)*n. Factor -2 + 18*y - 5*y**2 + g*y**2 - 23*y.
-(y + 1)*(3*y + 2)
Factor 2002*h**2 + 2/3*h**3 + 2006006002/3 + 2004002*h.
2*(h + 1001)**3/3
Suppose 5*v - 5*c - 15 = 0, 11*c + 20 = 2*v + 16*c. Suppose s - 3*a + 7 + 3 = 0, 10 = -v*s + 5*a. Factor 0 + 3/7*k**4 + 9/7*k**3 + 0*k + 6/7*k**s.
3*k**2*(k + 1)*(k + 2)/7
Determine s so that 0 + 0*s + 2/3*s**4 - 6*s**2 + 15/2*s**3 = 0.
-12, 0, 3/4
Let v(l) = 3*l**3 + 56*l**2 - 146*l + 77. Let m(p) = 58*p**3 - 1 - 59*p**3 - 38 - 28*p**2 + 74*p. Let i(j) = 5*m(j) + 3*v(j). Factor i(k).
4*(k - 1)**2*(k + 9)
Suppose 591 - 71 = 54*j + 11*j. Let m(w) be the second derivative of 0*w**4 + 1/57*w**3 + 0*w**6 - 1/95*w**5 + 1/399*w**7 + 0*w**2 + 0 + j*w. Factor m(l).
2*l*(l - 1)**2*(l + 1)**2/19
Let a(p) = 9*p - 6. Let j be a(1). Suppose -73 + 106 + 35*i - 63 - 5*i**j = 0. Calculate i.
-3, 1, 2
Let k(c) be the first derivative of -2*c**3/9 + 149*c**2/3 - 196*c - 885. Suppose k(t) = 0. What is t?
2, 147
Let u = -105 + 105. Suppose u = 1315*x - 1317*x + 6. Find q, given that 0 - 1/10*q**4 + 1/5*q**2 + 0*q - 1/10*q**x = 0.
-2, 0, 1
Factor 1476603/4*f + 1607*f**2 + 7/4*f**3 + 210681/2.
(f + 459)**2*(7*f + 2)/4
Let d(t) = 2100*t + 121802. Let f be d(-58). Factor -3/4 + 1/4*k**f + 1/2*k.
(k - 1)*(k + 3)/4
Determine o, given that -31/4*o**3 - 47/4*o**2 + 7/4*o**4 + 3/4*o**5 + 0 - 3*o = 0.
-4, -1, -1/3, 0, 3
Let c(q) = 99*q**3 - 1509*q**2 - 759017*q - 127263537. Let i(v) = 109*v**3 - 1509*v**2 - 759016*v - 127263538. Let w(h) = 11*c(h) - 10*i(h). Factor w(k).
-(k + 503)**3
Let p be 14/(-21) - 210/(-288). Let h(v) be the third derivative of -15*v**2 - v**3 + 0*v + 0 - p*v**6 - 1/4*v**4 + 13/40*v**5. Suppose h(m) = 0. Calculate m.
-2/5, 1, 2
Let j(v) be the first derivative of 26*v**5/95 + 21*v**4/38 - 10*v**3/19 - 41*v**2/19 - 36*v/19 + 4259. Solve j(t) = 0 for t.
-1, 18/13
Let o(t) be the third derivative of t**5/20 + 5*t**4/8 + 99*t**2. Let o(l) = 0. What is l?
-5, 0
Let u be (-2164)/4200 + (-398)/4975 + 14/12. Let -2/7*y**4 - 2/7*y**2 + u*y**3 + 0*y + 0 = 0. What is y?
0, 1
Let f be (-12475)/(-499) - (23 + -1). Factor 0*w**2 + 1/2*w**4 - 25/2*w**f + 0*w + 0.
w**3*(w - 25)/2
Let h(s) be the second derivative of s**5/10 - 11*s**4/3 + 51*s**3 - 324*s**2 + 55*s - 10. Find k such that h(k) = 0.
4, 9
Factor -3164/5*g - 80*g**3 + 1/5*g**4 + 1983/5*g**2 + 316.
(g - 395)*(g - 2)**2*(g - 1)/5
Let j(a) be the first derivative of -1/900*a**6 + 29/2*a**2 + 0*a + 0*a**3 - 16 + 0*a**4 + 1/225*a**5. Let v(m) be the second derivative of j(m). Factor v(w).
-2*w**2*(w - 2)/15
Let h(l) be the third derivative of -l**7/3360 + l**6/720 - 19*l**3/6 + 77*l**2. Let b(k) be the first derivative of h(k). Determine g so that b(g) = 0.
0, 2
Let x(h) be the third derivative of -h**7/840 - 2*h**6/5 + 97*h**5/40 - 73*h**4/12 + 65*h**3/8 + 2362*h**2. Suppose x(g) = 0. Calculate g.
-195, 1
What is x in 60/7 + 1/7*x**4 + 107/7*x + 13/7*x**3 + 59/7*x**2 = 0?
-5, -4, -3, -1
Let b(i) be the third derivative of i**5/15 - 3652*i**4/3 + 26674208*i**3/3 + 6590*i**2. Factor b(l).
4*(l - 3652)**2
Factor 112 + 114*u**3 + 212 + 4534*u + 9*u**4 + 477*u**2 - 3778*u.
3*(u + 3)**2*(u + 6)*(3*u + 2)
Let c be -5*(-9860)/13200 + 1/12. Factor c*a**2 + 0 + 2/11*a**3 + 0*a.
2*a**2*(a + 21)/11
Determine i so that 0 + 2925/7*i + 3/7*i**2 = 0.
-975, 0
Let d(m) be the second derivative of 5*m**7/147 + 31*m**6/35 + 127*m**5/70 - 23*m**4/6 - 44*m**3/7 + 68*m**2/7 + 2410*m. Find q such that d(q) = 0.
-17, -2, -1, 2/5, 1
Let n(k) = 17*k**3 - 9*k**2 - 1503*k + 2358. Let z(r) = 9*r**3 - 17*r**2 - 751*r + 1178. Let f(a) = 5*n(a) - 9*z(a). Determine u, given that f(u) = 0.
-33, 3
Let t(l) be the first derivative of -96*l**5/5 + 798*l**4 - 10998*l**3 + 152421*l**2/4 + 311469*l - 68. Let t(n) = 0. What is n?
-2, 47/4
Let s(l) be the second derivative of -2*l**6/105 - 2*l**5/5 - 20*l**4/7 - 100*l**3/21 + 250*l**2/7 - 294*l. Determine o, given that s(o) = 0.
-5, 1
Let w(v) be the first derivative of v**5/5 + 63*v**4/4 - 43*v**3 + 65*v**2/2 - 493. Find l such that w(l) = 0.
-65, 0, 1
Let j(a) be the first derivative of a**7/6300 - 8*a**6/675 - 67*a**5/900 - 17*a**4/90 - 16*a**3/3 - 84. Let f(k) be the third derivative of j(k). Factor f(v).
2*(v - 34)*(v + 1)**2/15
Let u(v) = 59*v + 39. Let z be u(-3). Let n = z + 141. Solve 0 - 6/13*g**2 - 18/13*g**n + 4/13*g = 0.
-2/3, 0, 1/3
Solve 22/5*f**3 + 186/5*f - 128/5*f**2 + 1/5*f**4 - 81/5 = 0.
-27, 1, 3
Let o(u) be the second derivative of 0 + 3/7*u**3 + 1/42*u**4 - 1/70*u**5 - 293*u - 9/7*u**2. Factor o(f).
-2*(f - 3)*(f - 1)*(f + 3)/7
Let o(n) be the second derivative of -n**6/15 - 11*n**5/5 + 8*n**4 + 2048*n**3/3 - 4096*n**2 - 2*n + 37. Factor o(x).
-2*(x - 8)*(x - 2)*(x + 16)**2
Let x(u) be the second derivative of -11/4*u**3 - 9/2*u**2 + 2 + 14*u - 5/24*u**4. What is m in x(m) = 0?
-6, -3/5
Let m be (-1)/(-12) + 1442/(-24). Let s be (8/60)/((-3)/m). Factor -4/3*u**3 + 0 - 2/3*u**4 + 16/3*u + s*u**2.
-2*u*(u - 2)*(u + 2)**2/3
Let g = -64774 + 64777. Factor 9/7*x**2 - 3/7*x**g + 15/7 + 27/7*x.
-3*(x - 5)*(x + 1)**2/7
Let f(m) = -m**2 + 12*m - 32. Let q be f(5). Suppose -18 = -2*c + q*z, 13 = c - 5*z - 10. Factor -5*g**c - 6*g**3 - 7*g**3 + 21*g**3.
3*g**3
Suppose -75 = -82*m - 48 + 352 + 31. Let -40/17*d**3 - 2/17*d**m + 0*d**2 + 0*d + 0 - 24/17*d**4 = 0. What is d?
-10, -2, 0
Let h(s) be the first derivative of 39*s**4/11 + 194*s**3/33 + 14*s**2/11 - 2491. Factor h(c).
2*c*(6*c + 1)*(13*c + 14)/11
Factor 101*h**2 + 3402*h**3 + h**5 - 50*h + 3323*h**3 + 16*h + 31*h**4 - 6824*h**3.
h*(h - 1)**3*(h + 34)
Let f(w) be the second derivative of 5*w**4/12 + 1220*w**3/3 + 185*w + 16. Factor f(i).
5*i*(i + 488)
Suppose 0 = x + 42 - 41, 0 = y + 2*x - 3. What is a in -30 + 57*a + 6*a + 17*a - 30*a**2 - 25*a + y*a**3 = 0?
1, 2, 3
Let r be 12/48 - (-1 - 10/(-8)). Suppose r = 2*m - 12*m + 440. Factor -20*o**2 - 25*o**3 - m + 2*o + 3*o + 44.
-5*o*(o + 1)*(5*o - 1)
Let b be 4/(-9) + 2208/4482. Let c = b - -1217/581. Let -125/7 - c*l**2 - 1/7*l**3 - 75/7*l = 0. What is l?
-5
Let n(p) be the first de