t is c?
-2, 1, 2
Let c = 16860 + -16860. Let h = 11 - 109/10. Factor c + 0*a**2 - 3/10*a**3 + h*a - 1/5*a**4.
-a*(a + 1)**2*(2*a - 1)/10
Determine z so that 2*z**2 - 12 + 1/4*z**4 - 13/4*z**3 + 13*z = 0.
-2, 1, 2, 12
Let f(d) = -18*d**2 + 263*d - 278. Let s(p) = 10*p**2 - 132*p + 140. Let m(q) = 6*f(q) + 11*s(q). Factor m(l).
2*(l - 1)*(l + 64)
Factor -768 + 21*x**2 + 96*x + 3/4*x**3.
3*(x - 4)*(x + 16)**2/4
Suppose -4*t + 2*b - 96 = 0, -10*t + 3*b - 78 = -7*t. Let v be 5/30 + (-2)/24*t. Determine p so that 0 - 8/3*p + 8/3*p**v + 10*p**3 + 4/3*p**4 - 10/3*p**5 = 0.
-1, 0, 2/5, 2
Factor 4521*g**2 + 166462*g + 2*g**3 + 80 + 1489738*g - 881*g**2 - 80.
2*g*(g + 910)**2
Let v be (10 - 10/2) + 69. Let r = 76 - v. Factor 13*u**2 + 20*u**r - 80 - 75*u - 28*u**2.
5*(u - 16)*(u + 1)
Let c(l) = 5*l**2 + 2*l - 2. Let b be c(4). Factor -6*a**2 + b*a - 34*a - 2*a**2 + 68*a - 450.
-2*(2*a - 15)**2
Let x(v) be the first derivative of 5*v**6/12 + 5*v**5/2 - 75*v**4/8 - 325*v**3/6 - 175*v**2/2 - 60*v + 5984. Factor x(u).
5*(u - 4)*(u + 1)**3*(u + 6)/2
Let b(v) = -v + 3. Suppose -2 = 6*m + 4. Let i be b(m). Find z, given that 8*z**i - 4*z**3 - 2*z**2 + z**4 - 10*z**4 - z**4 = 0.
-1, 0
Let u be (-3)/((1/(-38))/(7/14)). Factor 225*g**2 - 12*g**5 - 345*g**4 + u*g**5 - 1080*g - 540 + 433*g**3 + 262*g**3.
5*(g - 3)**3*(3*g + 2)**2
Let f(b) be the second derivative of b**5/70 + 1069*b**4/42 + 82*b - 6. Factor f(x).
2*x**2*(x + 1069)/7
Let u(z) be the third derivative of 0 + 5*z + 0*z**7 + 3/40*z**4 + 1/560*z**8 + 14*z**2 - 1/50*z**5 + 1/5*z**3 - 1/50*z**6. Suppose u(x) = 0. What is x?
-1, 1, 2
Suppose 50/13*a**5 - 480/13*a**4 + 1202/13*a**3 - 660/13*a**2 - 48/13 - 424/13*a = 0. Calculate a.
-1/5, 2, 6
Let v(q) = -2*q - 16. Let f be v(-23). Let 9*w + 26*w**4 - 21*w**4 - 44*w - 15*w**2 + f + 15*w**3 = 0. What is w?
-3, -2, 1
Let z(t) be the third derivative of -t**7/1260 - 7*t**6/720 - t**5/72 + 31*t**4/144 + 5*t**3/6 - 2202*t**2 - 3. What is a in z(a) = 0?
-5, -3, -1, 2
Let p(u) be the second derivative of -u**7/11340 - u**6/1080 - u**5/270 - 7*u**4/12 - 4*u**3/3 + u. Let n(g) be the third derivative of p(g). Factor n(h).
-2*(h + 1)*(h + 2)/9
Let o(p) be the third derivative of 0 + 5*p**2 + 1/4*p**4 - 4/3*p**3 + 0*p - 1/60*p**5. Factor o(m).
-(m - 4)*(m - 2)
Solve 7/3*f**3 - 32 + 1/6*f**4 - 28/3*f + 22/3*f**2 = 0.
-8, -6, -2, 2
Let p(w) be the second derivative of -w**6/40 - 501*w**5/10 - 222443*w**4/8 + 111723*w**3 - 1342683*w**2/8 - 39*w + 15. Solve p(m) = 0 for m.
-669, 1
Determine r so that -8/9 - 17298962/9*r**2 - 23528/9*r = 0.
-2/2941
Suppose 2*d = -0*d + 8. Suppose 12*m + 105 = 47*m. Determine q so that -23*q - q**2 + 15*q + d*q**m + 5*q**2 = 0.
-2, 0, 1
Solve 1365*i**3 + 8*i**2 + 101*i + 1354*i**3 - 70 - 2722*i**3 = 0.
-5, 2/3, 7
Let c = -79876 + 79879. Let 0*s + 15/4*s**4 + 0 - 3/4*s**5 - 6*s**3 + c*s**2 = 0. What is s?
0, 1, 2
Let l(u) be the first derivative of -9*u**5/25 - 39*u**4/20 + 29*u**3/5 - 21*u**2/10 - 18*u/5 - 466. Find v, given that l(v) = 0.
-6, -1/3, 1
Suppose 28*a - 16 = 24*a. Suppose 0 = -a*k + 11 - 3. Find b such that 7*b - 24 + 104*b**2 - 78*b**2 - 18*b**3 + 2*b**5 - k*b**4 + 9*b = 0.
-3, -1, 1, 2
Let h(v) be the second derivative of -v**4/15 - 3*v**3 + 23*v**2/5 + 1218*v. Solve h(m) = 0 for m.
-23, 1/2
Let h(f) = 3*f**2 - f. Let q(l) = -20*l**2 - 85*l + 720. Let j(m) = 5*h(m) + q(m). Solve j(d) = 0.
-24, 6
Let q(m) = -3*m**2 + 9. Let o be q(3). Let p be (9/o)/((-18)/8 + 2). Solve 1/2 - 2/3*y + 1/6*y**p = 0.
1, 3
Factor 72*l**2 + 106*l**2 + 99 + 170*l - 5*l**3 + 501 - 193*l**2.
-5*(l - 6)*(l + 4)*(l + 5)
Let p(o) be the third derivative of -41*o**2 + 1/36*o**4 + 0*o - 2/3*o**3 + 0 + 1/45*o**5. Factor p(b).
2*(b + 2)*(2*b - 3)/3
Suppose 11808 = -5*a - 13*a. Let r = a + 659. Let 4/5*z**2 - 4/5 - 6/5*z**r + 6/5*z = 0. Calculate z.
-1, 2/3, 1
Let q(f) be the second derivative of -3/4*f**3 + 1/16*f**4 + 9/40*f**5 - 1/40*f**6 + 45*f + 0*f**2 + 0. Factor q(r).
-3*r*(r - 6)*(r - 1)*(r + 1)/4
Let g(y) = 8*y**3 + 68*y**2 + 30*y + 6. Let n(a) = a**3 + 9*a**2 - 2. Let v(u) = g(u) - 6*n(u). Factor v(x).
2*(x + 1)*(x + 3)**2
Suppose 4*q - 63 = -19. Factor 21 - q*u**2 + 28*u + 14*u**2 - 4*u.
3*(u + 1)*(u + 7)
Let h(k) = -10*k + 460. Let g be h(43). Suppose -52*t = -67*t + g. Find j, given that 5/2*j**t - 5/2*j**4 + 0 + 0*j + 0*j**3 = 0.
-1, 0, 1
Let u = 1098172 + -3294508/3. Let 4*x + u*x**2 + 4/9*x**3 + 16/9 = 0. Calculate x.
-4, -1
Factor -1/5*a**3 + 9/5*a - 18/5 + 2/5*a**2.
-(a - 3)*(a - 2)*(a + 3)/5
Let p(c) = 5*c**3 - 207*c**2 - 443*c + 639. Let q(m) = 16*m**3 - 620*m**2 - 1332*m + 1916. Let d(u) = -10*p(u) + 3*q(u). Factor d(n).
-2*(n - 107)*(n - 1)*(n + 3)
Factor 21*j - 27/4*j**3 + 0 - 93*j**2.
-3*j*(j + 14)*(9*j - 2)/4
Let x(i) be the first derivative of -9/2*i**4 + i**3 + 30*i + 51/2*i**2 - 47. Find w, given that x(w) = 0.
-1, -5/6, 2
Let x = 20804 - 20800. Determine d so that -4 + 10/3*d + 1/6*d**5 - 3/2*d**3 + 7/3*d**2 - 1/3*d**x = 0.
-2, 1, 2, 3
Let d(l) = -4*l**3 - 1330*l**2 - 1361*l + 7. Let n(p) = 5*p**3 + 1773*p**2 + 1813*p - 9. Let k(z) = 18*d(z) + 14*n(z). Suppose k(u) = 0. What is u?
-1, 0, 442
Factor -162/17*b**3 - 7380/17*b**2 + 3304/17*b - 368/17.
-2*(b + 46)*(9*b - 2)**2/17
Suppose 176 = 4*c + f, -2*f - 44 = -2*c + 44. Let c*k**3 - 21*k**4 + 18*k - 35 + 46*k**3 + 35 - 87*k**2 = 0. What is k?
0, 2/7, 1, 3
Let r(l) = -10 + 51*l + 60*l - 108*l. Let m be r(4). Factor -3*n + 5*n**3 + 8*n**2 - 5*n**3 + n - 8*n**4 + m*n**3.
-2*n*(n - 1)*(n + 1)*(4*n - 1)
Let s(c) be the first derivative of -2*c**3/3 - 1758*c**2 - 1545282*c + 58. Factor s(l).
-2*(l + 879)**2
Suppose 2*i + 6 = 0, 10 + 0 = 2*n + 2*i. Let t(x) = -x**2 + 11*x - 21. Let g be t(n). Factor 0 + 1/3*y**2 + 0*y + 1/3*y**g.
y**2*(y + 1)/3
Let y(o) be the first derivative of o**3/3 + o**2 - 8*o + 685. Solve y(u) = 0.
-4, 2
Let x be (-168)/(-10) - (649 - 649). Factor -16*y**2 + 0 - 4/5*y + x*y**3.
4*y*(y - 1)*(21*y + 1)/5
Let o(y) be the third derivative of -y**6/360 + 13*y**4/72 - 2*y**3/3 - 447*y**2. Find c, given that o(c) = 0.
-4, 1, 3
Suppose 0 = -6*r + 4*r + 10, 4*t + 3*r - 1307 = 0. Factor -19*a - 15*a + 76*a + a**2 + t + 118.
(a + 21)**2
Suppose -5*r + 55 = 3*u, -3*u - u = 2*r - 22. Find p, given that -10*p + 5*p + 25*p**2 - 21*p**2 - r*p = 0.
0, 4
Suppose -63*r + 58*r = -460. Factor -284*v**3 + 9 + 15 - 28 + 12 + r*v**4 - 116*v + 300*v**2.
4*(v - 1)**3*(23*v - 2)
Let a(f) = 3*f**3 + 21*f**2 - 2*f - 11. Let w be a(-7). Let y be -3*(2 - w) + -6 + 5. Suppose 12/7 - 12/7*n - 9/7*n**y = 0. What is n?
-2, 2/3
Suppose 3*m = 3*i - 1 - 8, -3*i + 9 = 7*m. Determine s so that 1/2*s**i - 5/2*s**2 + 0*s + 0 = 0.
0, 5
What is q in -1/4*q**3 + 55/4*q**2 - 250*q + 1500 = 0?
15, 20
Factor -5082*o - 2/7*o**3 + 66*o**2 + 130438.
-2*(o - 77)**3/7
Let c(z) be the first derivative of z**6/15 + 3*z**5/20 + z**4/8 - 29*z**3/3 + z - 19. Let v(i) be the third derivative of c(i). Factor v(n).
3*(2*n + 1)*(4*n + 1)
Let o(d) = 142133*d**2 + 756*d + 11. Let q(i) = -2*i**2 - i - 5. Let u(b) = -2*o(b) - 4*q(b). Factor u(n).
-2*(377*n + 1)**2
Let h = -521 - -528. Let s = -17 + 36. Factor 11 + 2*l**2 + s + 19*l - 12 - h*l.
2*(l + 3)**2
Let u be ((-24)/9)/(-4*3/18). Suppose -4*i + 5*z = -38, 2*z - 52 = -u*i - 0*z. Factor i*d + 3*d**2 + 3*d + 24 - 12.
3*(d + 1)*(d + 4)
Let g be (-98688)/(-704) + -2*(-1)/(-11). Let j = 140 - g. Determine c so that -3/4*c**3 - 3/4*c - 3/2*c**2 + j = 0.
-1, 0
Factor -1/3*k**4 - 6*k**2 + 0 - 11/3*k**3 + 0*k.
-k**2*(k + 2)*(k + 9)/3
Let u(k) be the second derivative of -k**7/1365 + k**5/130 + k**4/78 + 97*k**2/2 + 3*k + 10. Let z(j) be the first derivative of u(j). Factor z(w).
-2*w*(w - 2)*(w + 1)**2/13
Let g = -34 - -34. Suppose -3*c = -2*s - g*s - 4, 3*c = 5*s - 8. Factor 2*z**s + 3*z**5 + 3*z**5 - 4*z**5.
2*z**4*(z + 1)
Suppose 1165*u + 15 = 1166*u. Suppose u = 7*g - 2*g. Factor 1/7*s**g + 0 + 0*s - 1/7*s**5 + 1/7*s**4 - 1/7*s**2.
-s**2*(s - 1)**2*(s + 1)/7
Let i(a) = 7*a**2 - 4*a - 5. Let v be i(3). Suppose -v + 41 = -x. What is w in 4/3*w**x + 4/3*w**2 + 0 + 0*w + 4*w**3 + 4*w**4 = 0?
-1, 0
Let h(b) be the second derivative of b**6/120 + 9*b**5/40 - 7*b**4/48 - 11*b**3/2 - 27*b**2/2 - 6*b - 11. What is q in h(q) = 0?
-18, -2, -1, 3
Let b(y) = -796*y**2 + 6*y - 11. Let g be 