/2*x**2 + 3/2*x**3.
3*(x - 1)*(x + 87)**2/2
Let z(p) be the second derivative of p**7/1680 - 83*p**6/1440 - 7*p**5/60 - 59*p**4/3 - 31*p. Let l(s) be the third derivative of z(s). Solve l(f) = 0.
-1/3, 28
Suppose 8*i = 19*i - 20 - 8 - 5. Determine y, given that -1/2*y**5 + 15/2*y**i + 0 + 5*y + 23/2*y**2 + 1/2*y**4 = 0.
-2, -1, 0, 5
Determine r, given that -13*r**4 - 1864*r**5 - 504*r**2 + r**4 + 1866*r**5 - 318*r**3 + r**4 - 33*r**4 = 0.
-3, 0, 28
Factor -2/9*p**4 - 3082/9*p**3 - 3076/9 - 1026*p**2 - 9230/9*p.
-2*(p + 1)**3*(p + 1538)/9
Suppose 57*w + 107 = 16 + 46 + 45. Find h such that w - 1/2*h - 2*h**3 - 2*h**2 = 0.
-1/2, 0
Let j(k) be the first derivative of -k**5/15 - 29*k**4/12 + 178*k**3/3 - 84*k**2 + 4376. Factor j(x).
-x*(x - 12)*(x - 1)*(x + 42)/3
Suppose 5 = 4*h - q, -5*h + h - 3*q = -17. Let r(o) be the first derivative of -2/33*o**3 - 8/11*o - 3 + 4/11*o**h. Factor r(j).
-2*(j - 2)**2/11
Let q = 2619 - 2616. Let t(c) be the first derivative of 1/9*c**q - 1/2*c**2 - 8 + 2/3*c. Find u such that t(u) = 0.
1, 2
Let d(c) = -3*c**4 + 106*c**3 + 212*c**2 + 28*c - 8. Let p(u) = -3*u**4 + 105*u**3 + 213*u**2 + 21*u - 6. Let j(t) = 3*d(t) - 4*p(t). Factor j(z).
3*z**2*(z - 36)*(z + 2)
Let l(n) be the second derivative of 5/3*n**4 - 5*n + 1 + 1/5*n**5 + 6*n**2 + 14/3*n**3. Find k, given that l(k) = 0.
-3, -1
Let d(n) be the third derivative of 4*n**7/105 - 7*n**6/90 - n**5/30 + 67*n**3/6 + 2*n**2 + 29. Let c(g) be the first derivative of d(g). Factor c(y).
4*y*(y - 1)*(8*y + 1)
Let b(q) = q**3 - 36*q**2 - 36*q - 85. Let h be b(37). Let d be 64/h*(-6)/40. Factor d*o + 0 + 0*o**3 - 3/10*o**2 + 1/10*o**4.
o*(o - 1)**2*(o + 2)/10
Factor -484/3*f + 0 + 7*f**3 - 66*f**2 - 1/6*f**4.
-f*(f - 22)**2*(f + 2)/6
Let v be (-18)/69*3427/(-596). Let k be -1 + -2 + 66/8. What is j in -k*j - 27/4*j**2 - v - 15/4*j**3 - 3/4*j**4 = 0?
-2, -1
Let v be 4/22 - (-260)/22. Let j be -1*4*(-8 - v). Find w, given that -200 - 26*w**2 - 22*w**2 + j*w**2 + 4*w**3 + 20*w = 0.
-5, 2
Let m be -1*2 - (-1 - -3). Let v(s) = 4. Let r(d) = -d**2 + d - 3. Let q(z) = -z**2 + 47*z - 467. Let g be q(14). Let h(w) = g*v(w) + m*r(w). Factor h(y).
4*(y - 2)*(y + 1)
Let z(o) be the third derivative of -o**7/420 - o**6/20 - o**5/10 + 4*o**4/3 - 5*o**3 + 9*o**2 - 3. Let c(f) be the first derivative of z(f). Factor c(b).
-2*(b - 1)*(b + 2)*(b + 8)
Let k(p) be the third derivative of -p**8/3360 + p**7/630 + 25*p**4/8 + p**3/3 + 163*p**2. Let d(v) be the second derivative of k(v). Factor d(y).
-2*y**2*(y - 2)
Determine b so that 51 - 51*b**2 + 1/8*b**3 - 1/8*b = 0.
-1, 1, 408
Let a = 79657/192 - 26211/64. Suppose -2/3*t**2 - a - 6*t = 0. Calculate t.
-8, -1
Let d(i) = -10*i**2 + 25*i + 3. Let c(p) = 13 + 171*p + 3 + 4 + 5*p - 68*p**2. Let s(m) = 3*c(m) - 20*d(m). What is b in s(b) = 0?
0, 7
Let 5147 + 2053 - 475*p**4 - 31918*p - 1380*p**3 + 14806*p**2 + 5878*p - 17*p**4 + 5926*p**2 - 20*p**5 = 0. Calculate p.
-15, 2/5, 1, 4
Let k(c) = 1886*c + 110*c**2 - 6 - 664 + 533 + 7154 + 2095. Let l(y) = -37*y**2 - 629*y - 3037. Let f(j) = 5*k(j) + 14*l(j). Factor f(q).
2*(4*q + 39)**2
Let b = 3360/29 - -36983/58. Let u = -752 + b. Factor 0 + 3/4*c**4 - 9/4*c**2 + 0*c**3 - u*c.
3*c*(c - 2)*(c + 1)**2/4
Let q(b) = -6*b + 2 + 2*b - 3*b**2 + 3*b. Let n(u) = -374*u + 195*u + 21*u**2 + 185*u - 10 - 5. Let i(m) = -2*n(m) - 15*q(m). Factor i(k).
3*k*(k + 1)
Let h(w) be the second derivative of w**5/140 - 13*w**4/14 + 11*w**3/6 - 727*w. Factor h(u).
u*(u - 77)*(u - 1)/7
Let q(h) be the second derivative of -3*h**5/160 - 267*h**4/32 - 326*h. Factor q(n).
-3*n**2*(n + 267)/8
Let b(v) = -4*v**2 - v + 3. Let q(f) be the first derivative of -3*f**3 - 3*f**2/2 + 7*f + 5. Let m(n) = -7*b(n) + 3*q(n). Factor m(w).
w*(w - 2)
Suppose 732/5*d**4 + 66242/5*d**3 + 2/5*d**5 + 0 - 134688/5*d**2 + 67712/5*d = 0. What is d?
-184, 0, 1
Let x(n) = 1691*n**3 + 6*n**2 - 7*n + 1. Let t be x(1). Let q = t - 1691. Factor q - 8/17*g**2 - 2/17*g**3 - 6/17*g.
-2*g*(g + 1)*(g + 3)/17
Suppose 166/7*s**2 + 0 + 12/7*s + 54/7*s**3 = 0. Calculate s.
-3, -2/27, 0
Let c = 313/3514 - -27/502. Let -4/7 + 0*p + c*p**2 = 0. Calculate p.
-2, 2
Suppose 9*g = -5*g + 322. Find a such that -44*a**2 + g*a**2 - 3*a**3 + 24*a**2 = 0.
0, 1
Let v(b) be the third derivative of b**7/210 - b**6/120 - 3*b**5/4 + 63*b**4/8 - 36*b**3 - 700*b**2. Factor v(d).
(d - 3)**3*(d + 8)
Let r(w) be the third derivative of w**5/60 + w**4/8 - w**3/6 - 146*w**2. Let a(s) = s**3 - 18*s + 8. Let k(c) = -5*a(c) - 15*r(c). Factor k(v).
-5*(v - 1)**2*(v + 5)
Let z(r) be the second derivative of -r**7/2520 - r**6/80 - r**4/12 - 55*r**3/6 + 5*r + 19. Let x(y) be the third derivative of z(y). What is k in x(k) = 0?
-9, 0
Let a(o) be the third derivative of o**6/40 + 7*o**5/20 - 20*o**4 - 650*o**3 - 380*o**2. Factor a(u).
3*(u - 13)*(u + 10)**2
Suppose 0*m - 32 = -4*y - 5*m, -5*m = -5*y - 5. Factor 2*d**4 - 9827*d**3 + 4*d**4 - 24*d**2 - y*d**5 + 9833*d**3 + 21*d - 6.
-3*(d - 1)**4*(d + 2)
Let s(h) be the second derivative of 5*h**7/42 - 3*h**6 + 49*h**5/4 + 170*h**4 - 2150*h**3/3 - 3000*h**2 + 370*h - 1. Solve s(j) = 0 for j.
-4, -1, 3, 10
Let h(k) be the second derivative of -k**4/2 - 389*k**3/3 + 130*k**2 + 747*k. Factor h(n).
-2*(n + 130)*(3*n - 1)
Let -684112/3*v + 1684/3*v**3 - 93852*v**2 - 228488/3 - 5/6*v**4 = 0. Calculate v.
-2, -2/5, 338
Let s(f) be the third derivative of -f**6/80 - 38*f**5/5 - 4109*f**4/16 - 7105*f**3/2 - 7200*f**2. Find j, given that s(j) = 0.
-290, -7
Let w(s) be the second derivative of s**6/6 + s**5 - 35*s**4/12 - 85*s**3/3 - 60*s**2 - 904*s. Solve w(x) = 0 for x.
-4, -2, -1, 3
Determine z, given that 83/4*z**3 + 889/4*z**2 - 25/4*z**4 + 225 + 1/4*z**5 + 420*z = 0.
-2, -1, 15
Suppose 0 + 150/7*d**2 + 148/7*d - 2/7*d**5 - 150/7*d**4 - 146/7*d**3 = 0. Calculate d.
-74, -1, 0, 1
Suppose 2*g - 12*g + 170 = 0. Let s(q) = -q**3 + 17*q**2 + 3*q - 20. Let l be s(g). Factor -30 - l*x**3 - 40*x**2 + 28*x + 36*x**3 + 23*x + 14*x.
5*(x - 6)*(x - 1)**2
Find t, given that -29*t + 410/3 + 1/3*t**2 = 0.
5, 82
Let i be 3 - (-2 - (2 - -21)). Suppose -i*a + 23*a + 55 = 0. Factor -a*k**4 + k + 9*k**4 - 3*k**2 + 5*k**2 - k**5.
-k*(k - 1)*(k + 1)**3
Suppose 20*t - 3*t = 102289. Factor 6045*x**2 - 28 - t*x**2 - x - 4*x**3 + 5*x.
-4*(x - 7)*(x - 1)*(x + 1)
Let c be (-100)/15*(-827)/8270. Suppose 8/9*z**3 - 2/9*z**4 - 8/9*z + 8/9 - c*z**2 = 0. Calculate z.
-1, 1, 2
Let l(w) be the first derivative of 0*w - 3/5*w**5 - 3/4*w**4 + 4*w**3 - 173 + 6*w**2. Factor l(x).
-3*x*(x - 2)*(x + 1)*(x + 2)
Factor -112/5*t + 372/5 - 4/5*t**2.
-4*(t - 3)*(t + 31)/5
Let l(q) be the third derivative of q**6/900 - 37*q**5/300 - 19*q**4/30 - 6*q**3 + 90*q**2 - 1. Let d(f) be the first derivative of l(f). Factor d(n).
2*(n - 38)*(n + 1)/5
Let d(m) be the first derivative of 7*m**6/900 - m**5/100 - m**3 - 2*m**2 + 95. Let a(i) be the third derivative of d(i). Factor a(s).
2*s*(7*s - 3)/5
Let p(q) be the first derivative of 72*q**2 + 24/5*q**5 + 0*q - 5*q**4 - 2/3*q**6 - 151 - 32*q**3. Solve p(h) = 0.
-2, 0, 2, 3
Suppose -2*r + j + 51 = 0, r + 4*j = -r + 36. Solve r - 14*o**2 + 18*o + 16*o**2 + o**2 = 0.
-4, -2
Let m be 56/30 + (-20)/(-150). Determine o, given that 9*o**3 + 12*o**m - 461*o**4 - 36*o + 0 + 0 + 458*o**4 = 0.
-2, 0, 2, 3
What is d in 56454 - 582*d + 3/2*d**2 = 0?
194
Suppose -397*c**2 + 286946*c + 35*c**4 - 288206*c - 1643*c**2 - 635*c**3 = 0. Calculate c.
-2, -6/7, 0, 21
Let m be (37716/(-945))/((-2)/(-10)). Let l = m + 200. Factor -2/9*p**3 + l*p + 0 - 2/9*p**2.
-2*p*(p - 1)*(p + 2)/9
Let a(t) be the first derivative of 1/3*t**3 - 4/3*t - t**2 + 11/24*t**4 + 1/10*t**5 + 51. Factor a(l).
(l - 1)*(l + 2)**2*(3*l + 2)/6
Let q be (-110)/(-45) - (-5480)/(-34524). Let f = -4/245 - -284/245. Factor f*i - 1/7*i**2 - q.
-(i - 4)**2/7
Let a(b) be the second derivative of -b**5/90 - 103*b**4/27 - 3395*b**3/9 + 4900*b**2 - 3760*b. Factor a(r).
-2*(r - 4)*(r + 105)**2/9
Let n(p) be the third derivative of p**9/83160 - 13*p**4/24 - p**3/6 + 34*p**2. Let s(r) be the second derivative of n(r). Factor s(y).
2*y**4/11
Suppose -12*u = -9*u - 27. Factor -5*y**3 - 1 + 9 - 7*y - u*y**2 - y**4 - 10.
-(y + 1)**3*(y + 2)
Let a(p) be the second derivative of 1/30*p**4 - 19/15*p**3 + 34/5*p**2 + 0 - 265*p