 + 0*t + 1/3*t**5 + 0*t**2 = 0.
-3, 0
Let p(x) be the second derivative of 2*x**6/15 + x**5 - 29*x**4/3 - 70*x**3 + 1426*x. Solve p(q) = 0 for q.
-7, -3, 0, 5
Let c(v) be the first derivative of -v**3/3 + 1712*v**2 - 2930944*v - 2859. Let c(h) = 0. What is h?
1712
Let t = -132 + 156. Suppose 17 + t*o**3 - 28 - 27*o + 3*o**5 + 11 + 18*o**4 - 18*o**2 = 0. Calculate o.
-3, -1, 0, 1
Let t(s) be the second derivative of 0 - 19/2*s**2 + 1/15*s**5 + 6*s + 0*s**3 - 4/3*s**4. Let r(y) be the first derivative of t(y). Solve r(n) = 0 for n.
0, 8
Let b(r) be the second derivative of 0*r**2 + 32*r - 1/66*r**4 - 2 - 3/11*r**3. Factor b(v).
-2*v*(v + 9)/11
Let f(p) be the third derivative of -119/72*p**4 - 2/9*p**5 + 49/9*p**3 - 1/120*p**6 - 36*p**2 + 0*p + 0. Factor f(o).
-(o + 7)**2*(3*o - 2)/3
Let p be 21/1*(28/(-90))/((-2240)/3840). Factor -2/5*s**5 + 16/5*s**4 - 10*s**3 - p*s + 76/5*s**2 + 16/5.
-2*(s - 2)**3*(s - 1)**2/5
Suppose 3*o + 1111 = 4*f, -3*o + 718 = -5*o - 3*f. Let u = o + 1827/5. Find p, given that 0 + u*p**3 + 0*p - 1/5*p**4 + 0*p**2 = 0.
0, 2
Find k such that -171*k**2 - 193*k + 3*k**3 + 511*k**2 + 11*k + k**3 - 162*k = 0.
-86, 0, 1
Let k(j) be the second derivative of j**7/84 + 11*j**6/60 + 27*j**5/40 - 35*j**4/24 - 28*j**3/3 - 15*j**2 + 1308*j. Determine l so that k(l) = 0.
-6, -5, -1, 2
Let p = 40916/9 - 4546. Let z(w) be the first derivative of 0*w - p*w**3 - 1/3*w**2 + 6. Factor z(o).
-2*o*(o + 1)/3
Let i = 5 - -80. Let f = i - 83. Determine o so that -20/9*o + 0 - 4/9*o**f = 0.
-5, 0
Let a(k) be the third derivative of -k**6/720 - 5*k**5/8 - 4181*k**4/48 + 12769*k**3/36 - 2996*k**2. Factor a(u).
-(u - 1)*(u + 113)**2/6
Let o(z) = 8*z**3 + 122*z**2 + 318*z + 102. Let a(v) = -39*v**3 - 609*v**2 - 1590*v - 507. Suppose -146 = -25*i + 129. Let l(m) = i*o(m) + 2*a(m). Factor l(y).
2*(y + 3)*(y + 9)*(5*y + 2)
Let c(t) = t**2 - 4. Let d be c(2). Suppose 0 = -3*r - d*r + 9. Factor 19*l**r + 4*l - 2*l - 6*l + 7*l**4 + 8*l**2.
l*(l + 1)*(l + 2)*(7*l - 2)
Let y(a) be the first derivative of -a**6/12 + 3*a**5/5 - 9*a**4/8 + 2*a**3/3 - 1314. What is r in y(r) = 0?
0, 1, 4
Factor -104/3*y**3 + 1/3*y**4 + 0 + 432*y - 148*y**2.
y*(y - 108)*(y - 2)*(y + 6)/3
Let a(g) be the first derivative of -13*g**3 + 183*g**2/2 + 60*g + 3120. Suppose a(z) = 0. What is z?
-4/13, 5
Suppose -4 = 3*t + 2*o, t = -t - 4*o - 16. Let k be t*4/(-40) - (-99)/45. Factor 14/3*q + 10/3*q**3 + 4/3 + 6*q**k + 2/3*q**4.
2*(q + 1)**3*(q + 2)/3
Let t(q) be the third derivative of -q**5/60 + 83*q**4/24 + 85*q**3/3 + 1062*q**2. What is o in t(o) = 0?
-2, 85
Suppose 5814 = a + 5794. Suppose -4*g - 4*m = 8, 5*g - a = -20*m + 21*m. Factor -696/7*z**g - 174*z + 21 + 48/7*z**4 + 2691/7*z**2.
3*(z - 7)**2*(4*z - 1)**2/7
Let s(b) be the second derivative of -1/160*b**5 - 47*b + 0*b**3 + 0*b**2 + 1/48*b**4 + 0. Factor s(r).
-r**2*(r - 2)/8
Let w = -13 - -15. Determine d, given that -120*d**3 + 17*d**2 - 5*d**5 - 79*d**w - 45*d**4 + 2*d**2 - 20*d**2 = 0.
-4, -1, 0
Let p be (-14259)/(-1890) + 40/(-900). Suppose 2 + 1/2*o**4 - 7/2*o**3 - 13/2*o + p*o**2 = 0. What is o?
1, 4
Let d = -1619/519360 + 9/2164. Let f(h) be the third derivative of 0*h**3 + 0 - d*h**6 - 1/480*h**5 + 0*h + 1/1680*h**7 + 1/192*h**4 - 2*h**2. Factor f(q).
q*(q - 1)**2*(q + 1)/8
Let w = 24390 - 24388. Let f = 0 + 0. Let -1/5*x**3 - 1/5*x - 2/5*x**w + f = 0. What is x?
-1, 0
Factor -4/7*w**2 - 5128/7*w - 1643524/7.
-4*(w + 641)**2/7
Suppose -30/7 + 87/7*u**2 - 6/7*u**5 - 33/7*u**4 - 3*u + 3/7*u**3 = 0. What is u?
-5, -2, -1/2, 1
Let b = 13549658/4704725 + -2/188189. Let 648/25 + 2/25*m**2 - b*m = 0. What is m?
18
Let h(v) be the second derivative of v**5/25 - 128*v**4 + 122880*v**3 + 5073*v. Factor h(g).
4*g*(g - 960)**2/5
Suppose 21*j - 1432 = 59. Find q, given that 563 + 1539*q + 2*q**4 + 567*q**2 + 895 + 10*q**3 + 5*q**4 + j*q**3 - 4*q**4 = 0.
-18, -3
Let a(r) be the first derivative of r**4 + 52*r**3/3 + 52*r**2 - 160*r + 2693. Factor a(v).
4*(v - 1)*(v + 4)*(v + 10)
Let z(h) = h**2 - 3*h + 6. Let a(i) = 2*i + 41. Let m be a(-16). Let x(y) = m - 5 - 6*y + 7 + 2*y**2. Let v(j) = 6*x(j) - 11*z(j). Solve v(t) = 0 for t.
0, 3
Let a(w) = 2*w**3 + 22*w**2 - 3*w + 12. Let g be a(-11). Let y be (5/g)/(2/12). Solve 0 - 4/3*u**4 + 0*u**3 + 4/3*u**2 - 2/3*u**5 + y*u = 0.
-1, 0, 1
Factor -632/5 - 14/5*x**2 + 2216/5*x.
-2*(x - 158)*(7*x - 2)/5
Factor -7007/2*t**2 - 742*t**3 - 2401/4 - 12691/2*t - 5/2*t**5 - 281/4*t**4.
-(t + 7)**4*(10*t + 1)/4
Suppose 0 - 4*v**2 - 1/4*v**3 + 57/4*v = 0. Calculate v.
-19, 0, 3
Let b(r) be the third derivative of -r**8/168 - 31*r**7/15 - 1279*r**6/60 - 551*r**5/6 - 634*r**4/3 - 844*r**3/3 + 13*r**2 + 2*r. Suppose b(d) = 0. What is d?
-211, -2, -1
Let 40*p + 100*p**2 + 13 + 15*p**4 + 98*p**3 - 13 - 28*p**3 = 0. What is p?
-2, -2/3, 0
Let b = -209 + 211. Factor 3*z**2 - 17*z**b + 13*z**2 + 16*z.
-z*(z - 16)
Let m(w) be the third derivative of -24/35*w**6 - w**2 + 0*w**4 + 0 - 128/35*w**5 - 1/784*w**8 + w + 0*w**3 - 12/245*w**7. Factor m(i).
-3*i**2*(i + 8)**3/7
Let x = -1090041 + 7630289/7. Determine b so that 0*b**2 + 20/7*b**4 + 0*b + 0 + x*b**5 + 50/7*b**3 = 0.
-5, 0
Let r be 12/9*(1 - -23). Suppose -4*g = m - r, 4*g - 4*m = 8*g - 44. Let 16*w**3 - g*w**5 + 8*w**2 + 3*w**5 - 12*w + 4175*w**4 - 4183*w**4 = 0. What is w?
-3, -1, 0, 1
Let s(f) be the first derivative of 176 + 323*f**4 - 322*f**4 + 17*f**2 + 8*f**3 - f**2. Factor s(g).
4*g*(g + 2)*(g + 4)
Suppose 120*o**4 - 17496 + 19*o**5 + 3510*o**2 - 1395*o**3 - 2595*o + 7455*o - 22*o**5 = 0. What is o?
-2, 3, 18
Let u(s) be the first derivative of -1/2*s**2 + 89 - 1/2*s + 5/24*s**3. Suppose u(w) = 0. What is w?
-2/5, 2
Let o = 158 - 154. Suppose -p**5 - 10*p**2 - 20*p**o + 3*p**5 - 7*p**5 - 25*p**3 = 0. What is p?
-2, -1, 0
Let t(h) be the third derivative of 0 - 2/105*h**5 - 13/84*h**4 + 39*h**2 + 0*h - 1/7*h**3. Let t(x) = 0. Calculate x.
-3, -1/4
Let d(c) be the second derivative of -c**5/90 - 125*c**4/54 - 241*c**3/9 - 119*c**2 - 335*c. Factor d(h).
-2*(h + 3)**2*(h + 119)/9
Let b(v) be the first derivative of -3*v**4/20 - 11*v**3/5 + 18*v**2/5 + 2976. Factor b(r).
-3*r*(r - 1)*(r + 12)/5
Let m(z) be the first derivative of -84 + 40/3*z - 5/9*z**3 - 5/3*z**2. Determine d so that m(d) = 0.
-4, 2
Suppose -150*n + 34012 = -106*n. Let v = n + -3862/5. Let v + 4/5*p - 3/5*p**2 - 4/5*p**3 = 0. What is p?
-1, -3/4, 1
Factor 56/3 + 136/3*i - 206/3*i**2 + 14/3*i**3.
2*(i - 14)*(i - 1)*(7*i + 2)/3
Let w(b) be the second derivative of b**4/3 + 18*b**3 - 248*b**2 - 479*b. Factor w(z).
4*(z - 4)*(z + 31)
Let p(d) be the second derivative of -d**6/280 - d**5/70 - d**4/56 + 23*d**3/6 - 3*d**2/2 - 11*d - 1. Let r(z) be the second derivative of p(z). Factor r(h).
-3*(h + 1)*(3*h + 1)/7
Let v(w) = -5*w**2 + 10420*w - 5459615. Let o(k) = 2*k - 34. Let l(u) = 15*o(u) + v(u). Factor l(a).
-5*(a - 1045)**2
Let q = -6568863/11 + 597171. Suppose 2/11*u**3 + 0 - 20/11*u + q*u**2 = 0. What is u?
-10, 0, 1
Factor -22/3*f + 860/9 - 2/9*f**2.
-2*(f - 10)*(f + 43)/9
Let r = -22 - 0. Let j be (4/3)/(r/(-33)). Factor -4*y + 4*y**3 + 16*y**2 - 10*y**3 - 6*y**j.
-2*y*(y - 1)*(3*y - 2)
Let j(x) be the third derivative of -1/160*x**6 + 0*x + 163*x**2 - 1681/32*x**4 + 0*x**3 - 41/40*x**5 + 0. Find h, given that j(h) = 0.
-41, 0
Let t be (18/21)/((-363)/91 - -4). Suppose s - t = -78. Determine l, given that 1/8*l**2 + 1/2*l + s = 0.
-4, 0
Let q(s) be the third derivative of s**7/105 + s**6/84 - 2*s**5/35 - 10888*s**2. Factor q(j).
2*j**2*(j - 1)*(7*j + 12)/7
Let i(n) = -12*n - 61. Let t be i(-5). Let p be t/(-2) + 19/(-2) + 11. Suppose -1/4*g + 1/4*g**p + 0 = 0. Calculate g.
0, 1
Let b(l) be the first derivative of l**4/3 + 38*l**3/3 + 36*l**2 + 118*l - 16. Let g(s) be the first derivative of b(s). Solve g(a) = 0.
-18, -1
Let m = -689 + 1291. Let z = m + -3004/5. Determine g so that 0 - 2/5*g**3 + z*g + 4/5*g**2 = 0.
-1, 0, 3
Factor -2/5*d**4 - 1512/5 + 4538/5*d + 1518/5*d**3 - 4542/5*d**2.
-2*(d - 756)*(d - 1)**3/5
Let h(y) be the second derivative of -11/9*y**4 - 17*y + 2/63*y**7 + 8/3*y**2 + 0 + 1/9*y**6 - 4/9*y**3 - 7/30*y**5. Find i, given that h(i) = 0.
-2, -1, 1/2, 2
Let c(g) be the third derivative of g**5/15 + 277*g**4/6 + 37*g**2 + 2*g. Factor c(v).
4*v*(v + 277)
Let k