ve of -1 - p**4 - k*p**3 + 2*p**2 + 4*p. Solve c(b) = 0.
-1, 1
Let q(f) = 8*f**3 + 85*f**2 + 38*f - 3. Let m(l) = l**3 + 7*l**2 - l - 3. Let s(w) = -18*m(w) + 2*q(w). Factor s(n).
-2*(n - 24)*(n + 1)**2
Let n(z) be the second derivative of 2*z**4/3 - 67*z**3/3 + 69*z**2 - 271*z. Let q(i) = -6*i**2 + 135*i - 139. Let y(v) = 5*n(v) + 6*q(v). Factor y(g).
4*(g - 1)*(g + 36)
Suppose 0 = -5*p - 2*k + 110, 4*p - 71 = -4*k - k. Factor 54*l + 4 - p*l + 4 - 8*l**2.
-2*(l - 4)*(4*l + 1)
Let u be (-1 - (-30)/21) + 300/35. Let 36*c**2 - 6*c - 29*c**3 - 3*c**4 - c**2 - u*c**3 + 12*c**4 = 0. Calculate c.
0, 2/9, 1, 3
Factor 0 - 1/4*w**2 + 15/2*w.
-w*(w - 30)/4
Let b be 3/((-17)/(374/(-330)))*(-5 + (-140)/(-24)). Solve -b*k**3 + 4/3 - 17/6*k + 5/3*k**2 = 0.
1, 8
Suppose 1426/9 + 476/3*m + 2/9*m**2 = 0. Calculate m.
-713, -1
Let u(b) be the first derivative of b**6/3 - 14*b**5 - 245*b**4/2 + 17150*b**3/3 + 96040*b**2 + 537824*b - 387. What is o in u(o) = 0?
-7, 28
Let j = -38 + 40. Let k be ((-32)/24)/((-2)/6*j). Suppose 13*f**2 - 8 - 16*f + 20*f**3 - 4*f**5 - 2*f**4 + f**2 + 3*f**2 - 7*f**k = 0. Calculate f.
-2, -1, -1/2, 1, 2
Let d be 3/(4 + -1)*0. Suppose -3*a + 7 = g, -4*g + 1 = 3*a - d*a. Let 14 - 2*w**2 - 6 - w**3 + a*w**3 - 8*w = 0. What is w?
-2, 1, 2
Let i be (-13*(-7)/26)/1. Factor -5/6*u**3 + i*u**2 - 23/6*u - 1/6*u**4 + 4/3.
-(u - 1)**3*(u + 8)/6
Suppose 2*f - j = 19, 5*f + 4*j - 24 - 30 = 0. Suppose 25*w**2 - f*w**2 + 6*w**3 - w**3 - 2 + 2 = 0. Calculate w.
-3, 0
Let o(h) be the first derivative of -204*h**2 - 144*h - 289/3*h**3 + 179. Let o(r) = 0. What is r?
-12/17
Suppose 440 - 28*s**5 - 1960*s**2 - 245*s**4 - 140*s**4 + 1136*s**3 + 998*s**4 - 1108*s + 907*s**4 = 0. Calculate s.
-1, 2/7, 1, 55
Suppose -243*v = -315*v + 216. Let f(w) be the first derivative of -12 + 5/3*w**v + 5/2*w**2 - w**5 + 0*w - 5/4*w**4. Factor f(o).
-5*o*(o - 1)*(o + 1)**2
Let l(p) be the third derivative of p**8/336 - 76*p**7/21 - 761*p**6/120 + 31*p**2 + 47*p. Suppose l(i) = 0. Calculate i.
-1, 0, 761
Suppose 4*j - 3449 = q - 4*q, -5695 = -5*q + 4*j. Let t = -156 + q. Find c such that t*c**2 + c - 990*c**2 - 4*c = 0.
-1, 0
Let m be 20/25 - (-20526)/55. Let y be 782/m + (-1)/11. Factor 2*f - 4/5 + 2/5*f**3 - 8/5*f**y.
2*(f - 2)*(f - 1)**2/5
Let n = -2443634/562513 - -708/163. Let o = n + 289894/17255. Solve -8/5*h**4 - o*h**2 - 64/5*h - 44/5*h**3 - 16/5 = 0 for h.
-2, -1, -1/2
Let k(v) be the second derivative of v**6/10 - 21*v**5/20 - 83*v**4/4 - 201*v**3/2 - 189*v**2 - 4521*v. Solve k(d) = 0.
-3, -1, 14
Let r(s) = -s**3 + 301*s**2 - 9538*s - 528. Let u be r(265). Let -8 + 2/3*p**u + 8/3*p = 0. Calculate p.
-6, 2
What is f in 248*f**3 + 662*f**4 - 2576*f + 3920 - 376*f**3 - 666*f**4 - 1212*f**2 = 0?
-14, -5, 1
Suppose 2*k + 2 = -2*t, t + 55 = 2*k + 69. Suppose -2*r - 3 = -9. Find f such that 104*f - 3*f**t + 41*f + 33*f**r - 70*f - 105*f**2 = 0.
0, 1, 5
Let m(s) be the first derivative of -115 - 101/8*s**4 + s - 5/3*s**6 + 73/10*s**5 - 19/4*s**2 + 65/6*s**3. What is l in m(l) = 0?
1/4, 2/5, 1
Let u(f) be the second derivative of -17*f**6/18 + 139*f**5/12 - 370*f**4/9 + 40*f**3/3 + 222*f. Solve u(y) = 0.
0, 3/17, 4
Factor 16470 + 22498*z - 322*z - 522*z**2 + 3*z**3 + 29994.
3*(z - 88)**2*(z + 2)
Let n be -4 + (-10)/(-4 - -3). Let t(s) be the first derivative of -s**3 - 2 + 3*s**2 - 7 + n. Determine w so that t(w) = 0.
0, 2
Suppose 1/7*a**3 - 453/7*a + 227/7 + 225/7*a**2 = 0. Calculate a.
-227, 1
Let p be 12/(-16) + 10 + (-1)/4. Let 11*j - 6*j + p*j**2 - j + 0*j**3 - j**2 + 4*j**3 = 0. What is j?
-1, 0
Let l = 1168674/77 + -166812/11. Factor -2/7*a**3 - 6*a**2 - 46/7 + l*a.
-2*(a - 1)**2*(a + 23)/7
Let t(k) be the second derivative of -k**7/147 + 2*k**6/21 - 33*k**5/70 + 22*k**4/21 - 20*k**3/21 + 440*k. Let t(r) = 0. Calculate r.
0, 1, 2, 5
Let u be (1043/147 - 7) + (-7340)/42. Let v = u - -176. Determine c, given that -1/3*c**2 + v*c + 5/3 = 0.
-1, 5
Suppose 56*a + 97*a + 486 = 315*a. Factor -192/5 - 1323/5*x**4 + 2208/5*x - 7356/5*x**2 + 5796/5*x**a.
-3*(x - 2)**2*(21*x - 4)**2/5
Let o = -3276 + 3278. Let h(k) be the third derivative of -1/60*k**6 + 0 - 18*k**o + 0*k**4 + 0*k + 0*k**5 + 0*k**3. Solve h(g) = 0 for g.
0
Let -2/5*i**5 - 2/5*i - 16 + 4/5*i**3 - 16*i**4 + 32*i**2 = 0. What is i?
-40, -1, 1
Let x(b) be the second derivative of -7/54*b**4 - 2*b - 1/18*b**5 + 1/3*b**2 + 39 + 1/27*b**3. Let x(f) = 0. Calculate f.
-1, 3/5
Let k(q) be the first derivative of -48/35*q**5 + 40/3*q**3 + 32/7*q**4 - 1000/7*q + 2/21*q**6 - 1 - 450/7*q**2. Factor k(h).
4*(h - 5)**3*(h + 1)*(h + 2)/7
Determine l so that -44/7*l**4 + 32/7*l + 0 - 62/7*l**3 - 6/7*l**5 + 80/7*l**2 = 0.
-4, -1/3, 0, 1
Let w(a) = 12*a**3 - 33*a**2 + 6*a + 6. Let m(z) = 23*z**3 - 66*z**2 + 18*z + 11. Let b(i) = -6*m(i) + 11*w(i). Determine n so that b(n) = 0.
0, 2, 7/2
Let t(y) = 2*y**2 + 2*y - 12. Let i = -47 - -50. Let z be t(i). Factor -8*k**3 + 16 + k**4 - z*k + 10*k**2 + 14*k**2 - 20*k.
(k - 2)**4
Let w(p) be the second derivative of p**9/756 + p**8/84 - p**7/35 - 47*p**3/2 - 7*p - 9. Let o(l) be the second derivative of w(l). Solve o(s) = 0 for s.
-6, 0, 1
Let q(h) be the third derivative of -1/200*h**6 + 0*h**3 + 0*h**4 - 121*h + 2*h**2 - 1/50*h**5 + 0. Factor q(t).
-3*t**2*(t + 2)/5
Let q = 128305 - 641517/5. Factor -q*y**2 - 2/5*y**3 + 2/5*y + 8/5.
-2*(y - 1)*(y + 1)*(y + 4)/5
Let x(c) = -c**3 + 2*c**2 - c. Let v(n) = -28*n**3 - 16*n**2 - 328*n - 384. Let i(t) = -v(t) + 24*x(t). Factor i(s).
4*(s + 2)*(s + 6)*(s + 8)
Suppose 3*k + 15 = 8*k, i - 18 = -5*k. Factor 0*c**5 + 15*c**i - 25*c**4 + 15*c**3 - 40*c + 20*c**2 + 8*c**5 - 3*c**5.
5*c*(c - 2)**3*(c + 1)
Let n(c) be the first derivative of 11 + 0*c - 1/30*c**4 - 2/5*c**2 - 14/45*c**3. Factor n(t).
-2*t*(t + 1)*(t + 6)/15
Let a = -30966 - -30968. Let h(f) be the third derivative of 0*f + 0 - 1/16*f**4 - 1/6*f**3 + 34*f**a - 1/120*f**5. Suppose h(i) = 0. What is i?
-2, -1
Let b(v) = -22*v**3 + 24*v**2 + 4*v + 8. Let c(h) = -h**4 - 65*h**3 + 73*h**2 + 14*h + 28. Let r(t) = -14*b(t) + 4*c(t). Let r(x) = 0. What is x?
0, 1, 11
Let m(a) be the third derivative of a**8/84 - a**7/30 + a**6/60 + a**5/60 - 474*a**2 + 1. Factor m(h).
h**2*(h - 1)**2*(4*h + 1)
Let g = 151/1854 + 29/206. Factor -8/9*n**3 + 2/9*n**2 - g + 8/9*n.
-2*(n - 1)*(n + 1)*(4*n - 1)/9
Let z(v) be the first derivative of -2/15*v**3 + v**2 - 342 + 48/5*v. Factor z(s).
-2*(s - 8)*(s + 3)/5
Let z = 7043/4696 + 1/4696. Let k(n) be the first derivative of z*n + 5/8*n**2 - 1/12*n**3 + 16. Factor k(y).
-(y - 6)*(y + 1)/4
Let y = 592155/7994 + -2/571. Let x = 522/7 - y. Factor -1/8*a**2 + 0*a + x.
-(a - 2)*(a + 2)/8
Let t(v) = 13*v**4 + 2*v**3 - 79*v**2 - 56*v + 12. Let i(c) = 15*c**4 + 3*c**3 - 83*c**2 - 57*c + 14. Let o(s) = 6*i(s) - 7*t(s). Factor o(m).
-m*(m - 10)*(m + 1)*(m + 5)
Suppose -4*i - 2*n - 1 = -7*n, 3*i - 2 = n. Let u be 2/(i*1/(-2)*-1). Factor 0*c**2 - 4*c**2 - 60*c - u*c - 16*c - 400.
-4*(c + 10)**2
Let w = -1071 - -5402/5. Let g = w + -277/30. Solve 1/3 - 1/2*m**2 + 1/6*m**3 + g*m**4 - 1/6*m = 0 for m.
-2, -1, 1
Let c(p) be the second derivative of 268*p - 91/48*p**4 + 0*p**2 - 3/80*p**5 + 0 + 31/12*p**3. Factor c(v).
-v*(v + 31)*(3*v - 2)/4
Let b = 103043/35 + -2944. Let l(y) be the first derivative of -9 - b*y**5 - 12/7*y - 18/7*y**2 - 9/14*y**4 - 13/7*y**3. Suppose l(w) = 0. What is w?
-2, -1
Let m be (-1285472)/(-563550) + (-6)/(-225). Solve -m*b**2 - 2/13*b + 30/13 + 2/13*b**3 = 0 for b.
-1, 1, 15
Suppose 2*f = -f. Suppose f = p - 3 - 12. Find l, given that -p*l**2 + 13*l + 6*l**3 + 4*l**2 - 5*l - 5*l**2 = 0.
0, 2/3, 2
Let i(q) be the third derivative of 0 - 4*q**2 + 1/12*q**5 - 1/8*q**4 - 3/2*q**3 - 1/120*q**6 + q. Factor i(l).
-(l - 3)**2*(l + 1)
Let s(o) = 26*o + 1718. Let d be s(-66). Let t(z) be the second derivative of z**3 + 3/8*z**5 + 0*z**d + 9*z + z**4 + 1/20*z**6 + 0. Solve t(w) = 0 for w.
-2, -1, 0
Suppose 4*q + 4*l = 48, 11*q - l = 8*q + 16. Suppose 65*h + q = -4*a + 62*h, -h - 7 = -a. Determine n, given that -n**a + 4/9 - 16/9*n = 0.
-2, 2/9
Let s(w) be the third derivative of -w**5/45 - 8*w**4/9 - 10*w**3/3 + 354*w**2. Factor s(f).
-4*(f + 1)*(f + 15)/3
Let j(v) be the first derivative of 49*v**5/10 - v**4/8 - 49*v**3/2 - 95*v**2/4 + v + 1673. Let j(b) =