/4*a - 147/2 - 45/4*a**3.
3*(a - 7)**2*(a - 2)*(a + 1)/4
Let j = -85400 - -2817713/33. Let s = j - -166/11. Solve 1/9*v**2 - s*v - 4/9 = 0.
-1, 4
Let o be 86*((-15)/(-6) + (-6)/3). Suppose 0 = -5*v + o + 62. Factor 16*d**3 - v*d**3 + 0*d**2 + 0*d**2.
-5*d**3
Let p(i) be the third derivative of i**8/10080 + 29*i**7/630 + 841*i**6/90 - 8*i**5/3 + 191*i**2. Let n(g) be the third derivative of p(g). Solve n(f) = 0.
-58
Let l(s) be the first derivative of -2*s**5/75 - s**4/3 + 2*s**3/45 + 178*s**2/15 + 112*s/5 + 4961. Determine q, given that l(q) = 0.
-7, -6, -1, 4
Suppose 4*i + 104 = 42*r, -5*r - 113 = -3*i - 138. Let f be (-2)/16*-58 - -1. Solve 3/2*b**r + 9/2*b**4 + 9*b - 6 - 3/4*b**5 - f*b**3 = 0 for b.
-1, 1, 2
Factor 258/5*v**3 + 2048/5*v + 4/5*v**4 + 0 + 4224/5*v**2.
2*v*(v + 32)**2*(2*v + 1)/5
Let j = -20964 - -20967. Let a(l) be the second derivative of 23*l - 15/2*l**2 - 25/12*l**j + 0 + 5/24*l**4. Factor a(n).
5*(n - 6)*(n + 1)/2
Let y(n) be the first derivative of -21 + 1/2*n**4 - 1/2*n + 3/2*n**2 - 3/2*n**3. Factor y(a).
(a - 1)**2*(4*a - 1)/2
Let b be (-4 - (207 - 4))*4/(-6). Suppose -12*l**2 + 134*l**4 + 3*l**5 + 6*l**3 + 125*l**4 + b*l**4 - 8*l - 386*l**4 = 0. Calculate l.
-2, -2/3, 0, 1
Let s(n) be the second derivative of n**7/42 - n**6/30 - 3*n**5/2 + 8*n**4/3 + 80*n**3/3 - 58*n + 2. Factor s(h).
h*(h - 4)**2*(h + 2)*(h + 5)
Let p be (0 - -1)/((-9)/(-18)). Factor 32 - 5*t**3 + 17 + 25*t**2 - 17*t + p*t - 94.
-5*(t - 3)**2*(t + 1)
Let o(m) be the first derivative of -8*m**3/3 - 15*m**2 + 18*m - 92. Let x(t) = t**2 + t - 3. Let q(p) = o(p) + 6*x(p). Let q(y) = 0. Calculate y.
-12, 0
Let i(o) = 3*o**2 + 30*o + 45. Let f(z) be the third derivative of -z**3/6 + 2*z**2 - 14*z. Let a(m) = -18*f(m) - i(m). Factor a(u).
-3*(u + 1)*(u + 9)
Let d(k) be the first derivative of -2*k**5/25 - 9*k**4/5 + 70*k**3/3 + 849. Solve d(g) = 0.
-25, 0, 7
Let j(u) = u**5 - 1. Let q(t) = 4*t**3 + 18*t**5 + 5 - 15*t**5 + 5*t**4 - 7*t**5. Let d(c) = -5*j(c) - q(c). Factor d(y).
-y**3*(y + 1)*(y + 4)
Let h(s) = -5*s**4 - 88*s**3 + 187*s**2 + 632*s + 372. Let f(q) = -2*q**4 - q + 6. Let d(y) = -6*f(y) + 3*h(y). Let d(a) = 0. What is a?
-90, -1, 4
Let d be (-2)/30*(15/30)/(9 + 10109/(-1122)). Factor -1/5*j**3 - d*j**2 + 0*j + 0.
-j**2*(j + 17)/5
Let u(h) be the second derivative of -3*h**7/56 + 7*h**6/40 - 9*h**5/80 - 3*h**4/16 + h**3/4 - h - 107. Factor u(c).
-3*c*(c - 1)**3*(3*c + 2)/4
Suppose h + 5*i + 280 = -595, 0 = 2*i + 8. Let d be 0 - (-19)/(h/(-72)). Factor d*b**2 + 0 + 12/5*b**3 + 4/5*b**4 + 0*b.
4*b**2*(b + 1)*(b + 2)/5
Let o(n) = 46*n + 10*n**2 + 244 + 44*n - 1132. Let b(g) = 12*g**2 + 91*g - 889. Let q(l) = -6*b(l) + 7*o(l). Factor q(c).
-2*(c - 21)**2
Let m(t) be the third derivative of -t**8/3360 + t**7/315 - t**6/90 - 11*t**4/8 + 79*t**2. Let u(a) be the second derivative of m(a). Factor u(x).
-2*x*(x - 2)**2
Let w = -1524 - -51. Let k = w + 4421/3. Solve -2/3*t**2 + 4/3 - k*t = 0 for t.
-2, 1
Let s(j) be the third derivative of j**8/672 + j**7/105 - 19*j**6/240 - 7*j**5/12 + 2*j**4 + 24*j**3 - 14*j**2 - 19. Determine d, given that s(d) = 0.
-4, -2, 3
Suppose 508*p**2 + 8*p**2 - 302*p - 259*p**4 - 69*p**3 + 87*p**4 - 186*p + 96 + 117*p**3 = 0. What is p?
-2, 12/43, 1
Let o(h) be the first derivative of h**4/36 + 115*h**3/9 + 1700*h**2 + 144500*h/9 - 1781. Factor o(d).
(d + 5)*(d + 170)**2/9
Let u(g) be the first derivative of -3*g**4/4 + 3*g**3 + 24*g**2 + 36*g - 1082. Factor u(d).
-3*(d - 6)*(d + 1)*(d + 2)
Let x(y) be the first derivative of -y**3/4 + 714*y**2 - 679728*y + 2619. Factor x(o).
-3*(o - 952)**2/4
Suppose -2*y + 16 = -2*q, 2*q + 19*y = 18*y + 14. Suppose 1/4*i**q + 0 + 1/4*i = 0. What is i?
-1, 0
Let p = 19860 - 19857. Let d(k) be the first derivative of 0*k + 36 - 6*k**2 - k**p + 15/4*k**4. Let d(f) = 0. What is f?
-4/5, 0, 1
Let 588*i**3 + i**4 - 991232 + 2*i**4 + 13*i**4 + 10704*i**3 + 1914262*i**2 + 3463680*i + 87906*i**2 = 0. What is i?
-352, -2, 1/4
What is q in -39/2*q**3 + 21/4*q**4 - 3/8*q**5 + 99/4*q**2 + 0 - 81/8*q = 0?
0, 1, 3, 9
Let 135*f**2 - 21*f**3 - 23*f - 516 - 1261*f + 1686*f**2 = 0. Calculate f.
-2/7, 1, 86
Let j(p) = -58*p**5 - 124*p**4 + 853*p**3 - 1565*p**2 - 3429*p + 8109. Let z(s) = 7*s**5 + s**4 - 2*s**3 + s - 1. Let a(n) = j(n) + 9*z(n). Solve a(g) = 0.
-2, 2, 5, 9
Let -24 + 5/4*d**2 + 1/4*d**4 + 5/2*d**3 - 25*d = 0. What is d?
-8, -4, -1, 3
Suppose -2*z - 14 = -3*p, 4*z = -23*p + 30*p - 36. Suppose 132/5*d**3 + 16*d - 176/5*d**2 + 0 - p*d**4 + 4/5*d**5 = 0. Calculate d.
0, 1, 2, 5
Let z be 10/(11/2 - (-12)/(-24)). Let j(s) be the second derivative of 7/24*s**3 + 0 + 28*s - 1/2*s**z - 1/80*s**5 - 1/24*s**4. Find w such that j(w) = 0.
-4, 1
Let u(b) be the third derivative of 1/150*b**5 + 158*b**2 - 2/45*b**3 + 1/180*b**4 - 1/1575*b**7 + 0*b - 1/900*b**6 + 0. Find n, given that u(n) = 0.
-2, -1, 1
Suppose -4*c = -l, -3*c - 12 = -2*l + 8. Find s, given that 6*s**3 - 24*s + s**2 + 45*s**3 + s**4 - 45*s**3 + l = 0.
-4, 1
Let f(x) be the third derivative of -7/2*x**4 - 3*x**3 + 149*x**2 + 9/80*x**6 - 7/40*x**5 + 0 + 0*x. Factor f(k).
3*(k - 3)*(k + 2)*(9*k + 2)/2
Let p be (-42)/(-63) + 7/3. Factor -40*z**2 - 30*z**p - 50*z + 211*z**2 + 15 + 5*z**4 - 111*z**2.
5*(z - 3)*(z - 1)**3
Let g(k) be the third derivative of 0 - 43/132*k**4 - 69*k**2 - 1/110*k**5 + 10/11*k**3 + 0*k. Factor g(j).
-2*(j + 15)*(3*j - 2)/11
Factor 80/3*b**2 + 0 + 8*b - 14/3*b**3.
-2*b*(b - 6)*(7*b + 2)/3
Let k(a) = 24*a**2 - 114*a + 213. Let u be (-36)/6 + -1*(1 + 2). Let s(m) = 11*m**2 - 57*m + 106. Let z(r) = u*s(r) + 4*k(r). Factor z(v).
-3*(v - 17)*(v - 2)
Let q(x) be the third derivative of x**7/5040 + x**6/288 + x**5/60 - 139*x**4/24 - 7*x**2 - 2. Let i(p) be the second derivative of q(p). Factor i(d).
(d + 1)*(d + 4)/2
Let b(u) be the first derivative of -u**6/4 + 112*u**5/5 - 577*u**4/8 + 32*u**3/3 + 145*u**2 - 144*u + 14873. What is f in b(f) = 0?
-1, 2/3, 1, 2, 72
Factor -647/3*k**4 - 5/3*k**5 + 0 + 0*k - 86*k**3 + 0*k**2.
-k**3*(k + 129)*(5*k + 2)/3
Suppose -3*b - 342*j = -338*j + 15, j = -83*b + 243. Factor -1/5*h**b + 11/5*h - 2*h**2 + 0.
-h*(h - 1)*(h + 11)/5
Factor 3/2*r**2 + 99*r + 2295/2.
3*(r + 15)*(r + 51)/2
Let p = -1199/79 + 9299/316. Suppose 9/4*z + 0 + 33/4*z**4 + 3/2*z**5 + 39/4*z**2 + p*z**3 = 0. Calculate z.
-3, -1, -1/2, 0
Let a = -68 - -109. Suppose -34*z = -a*z + 28. Let 0*g + 0*g**2 + 0*g**3 + 4/3*g**z - 2/3*g**5 + 0 = 0. What is g?
0, 2
Let j = -41483/14 - -2960. Let q = 32/7 + j. What is z in 1/4*z**2 + q*z + 9/4 = 0?
-3
Let d(o) be the second derivative of o**6/195 - 2*o**5/13 + 11*o**4/26 + 18*o**3/13 + 1282*o - 1. Solve d(h) = 0.
-1, 0, 3, 18
Let z(l) = 270*l + 68. Let u be z(2). Let s = u + -3037/5. Suppose 6/5*o**3 + 6/5*o**2 - 3/5*o - 3/5*o**5 - s - 3/5*o**4 = 0. Calculate o.
-1, 1
Let o(x) = 9*x - 121. Let r be o(14). Factor 24*h**2 + 4*h**3 + h**3 - 8*h**2 - r*h - h**2 - 15.
5*(h - 1)*(h + 1)*(h + 3)
Suppose 23*y + 3*b = 26*y - 72, -90 = -4*y + 5*b. Let 6/5*x**3 - y - 66/5*x**2 + 42*x = 0. What is x?
1, 5
Let l be -34*((-18)/60 + 2/(-10)). Factor 16*v**4 - 3*v**2 + 5*v**3 - 5*v + 23*v**4 + 4 - 57*v**4 + l*v**4.
-(v - 4)*(v - 1)**2*(v + 1)
Let t be 2/(-16) - 5*5/(-8). Factor 15*c + c**2 + 45*c**t + 180 - 44*c**2 - 69*c**2 - 3*c**2 - 5*c**4.
-5*(c - 4)*(c - 3)**2*(c + 1)
Let o be (36 - (-9699)/(-371))/(4/28). Suppose -o*v + 9/2*v**2 + 21/2*v**3 + 36 = 0. What is v?
-3, 4/7, 2
Let i(n) = -n**3 + 4*n**2 + 6*n - 3. Suppose 4 = -2*o + 14. Let m be i(o). Factor 2*j**3 - 48*j + 44*j + 0*j**2 + 2*j**m + 0*j**3.
2*j*(j - 1)*(j + 2)
Let u(l) be the second derivative of l**5/30 - 11*l**4/18 - 116*l**3/9 - 60*l**2 + 5*l - 198. Factor u(a).
2*(a - 18)*(a + 2)*(a + 5)/3
Let h(d) = -d + 1. Let o(s) = 2*s**3 + 12*s**2 + 20*s + 20. Suppose 9*i + 8*i = 68. Let w(y) = i*h(y) - o(y). Factor w(j).
-2*(j + 2)**3
Factor 3*s**2 + 21*s**3 + 777*s + 6*s**4 - 798*s - 19*s**4 + 6*s**4 + 4*s**4.
-3*s*(s - 7)*(s - 1)*(s + 1)
Factor 3/4*q**3 + 0 - 1305*q**2 + 567675*q.
3*q*(q - 870)**2/4
Factor -2/9*c**2 + 26/9*c + 28/9.
-2*(c - 14)*(c + 1)/9
Let w(p) be the second derivative of 2*p**6/15 - 2048*p**5/5 + 465806*p**4 - 634425040*p**3/3 - 637223974*p**2 + 3*p + 929. Factor w(b).
4*(b - 683)**3*(b + 1)
Let n(i) be the first deriv