 x**4 - 1/5*x**j - 2/5*x.
-x*(x - 2)*(x - 1)**3/5
Let k(d) be the third derivative of 0*d**3 + 0*d + 0 + 1/3*d**5 + 0*d**4 - 1/30*d**6 - 147*d**2. Factor k(c).
-4*c**2*(c - 5)
Factor -2032/3*s - 2/3*s**2 - 516128/3.
-2*(s + 508)**2/3
Suppose 4*z + 56 = 2*s, 3*s + 31*z = 27*z + 64. Suppose 3*h + 3*k = 15, 22 - s = -4*h + 5*k. Factor 3/4*i**h + 3/2 + 0*i**2 - 9/4*i.
3*(i - 1)**2*(i + 2)/4
Let w(t) = -2*t - 1. Let i(v) be the second derivative of -4*v**6/15 - v**5 - v**4/3 - 16*v**3/3 - 10*v**2 + 97*v. Let c(s) = i(s) - 20*w(s). Solve c(b) = 0.
-2, -1, 0, 1/2
Let y = 912557/315 + -2897. Let v(x) be the third derivative of y*x**7 + 12*x**2 + 0*x**5 + 0 + 1/90*x**6 + 0*x + 0*x**4 + 0*x**3. Factor v(z).
4*z**3*(z + 1)/3
Solve 1/2*z**5 - 123*z**2 + 18*z**4 - 22*z**3 - 111 + 475/2*z = 0 for z.
-37, -3, 1, 2
Let h(i) be the third derivative of -48/7*i**3 - 69*i**2 + 2/7*i**4 - 1/210*i**5 + 0*i + 0. Let h(s) = 0. Calculate s.
12
Suppose 51*t - 572 = -40*t + 65. Let q(l) be the third derivative of 0*l**5 + 0*l**3 + 0*l**4 + 0*l + 6*l**2 + 1/24*l**6 + 1/42*l**t + 0. Factor q(r).
5*r**3*(r + 1)
Let m(f) be the third derivative of -3 + 8/3*f**4 - 6*f**2 + 1/15*f**5 + 0*f + 56/3*f**3. Suppose m(p) = 0. What is p?
-14, -2
Let m be 516/24 - (-2)/4*-1. Let d(c) = c**2 - 20*c - 16. Let z be d(m). Determine q so that z*q**5 + 2*q**3 + q**2 + 199*q**4 - q**5 - 206*q**4 = 0.
-1/4, 0, 1
Let d(n) be the third derivative of -n**6/120 + 11*n**5/20 - 4*n**4/3 - n**2 - 581. Solve d(s) = 0 for s.
0, 1, 32
Let f(r) be the first derivative of -r**5/20 + 7*r**4/16 + 13*r**3/2 + 846. Factor f(l).
-l**2*(l - 13)*(l + 6)/4
Factor -a**2 - 20 - 1/2*a**3 + 43/2*a.
-(a - 5)*(a - 1)*(a + 8)/2
Suppose -1345*h = -1348*h - 3*k + 42, 0 = -3*h + 2*k - 3. Factor -76/7*g**4 - 92/7 - 4/7*g**h + 52*g - 536/7*g**2 + 344/7*g**3.
-4*(g - 1)**4*(g + 23)/7
Determine s, given that 356 - 353/3*s - 1/3*s**2 = 0.
-356, 3
Let d be ((-588)/(-35))/(-7)*13/(-8) + -3. Let u(q) be the second derivative of -2/3*q**3 + d*q**5 + 0 + 0*q**2 + 7/6*q**4 - q. Factor u(w).
2*w*(w + 1)*(9*w - 2)
Let j(t) be the first derivative of -t**4/4 + 5*t**3/3 - 3*t**2 + 2*t + 90. Let s be j(2). Factor 2/3*x - 2/3*x**s + 0.
-2*x*(x - 1)/3
Let v = -10361 - -93251/9. Factor 0 - v*h**3 + 4/9*h + 2/9*h**2.
-2*h*(h - 2)*(h + 1)/9
Let l = 3203 + -51239/16. Let f(n) be the first derivative of l*n**2 + 1/4*n + 11/40*n**5 + 19 - 9/32*n**4 - 13/24*n**3. Solve f(a) = 0 for a.
-1, -2/11, 1
Let c(h) be the second derivative of h**4/8 + 126*h**3 - 1515*h**2/4 - 1160*h - 2. Factor c(o).
3*(o - 1)*(o + 505)/2
Let n = -559499/3486 + 35/498. Let i = -160 - n. Factor 3/7*b**3 - 3/7*b**2 + i*b**4 - 3/7*b + 0.
3*b*(b - 1)*(b + 1)**2/7
Let 0 + 27*o**2 - 23*o**3 - 7 - 63*o + 17 + 26*o**3 + 23 = 0. Calculate o.
-11, 1
Let m(n) be the first derivative of 1/6*n**6 + 0*n - 92 - n**3 - 1/5*n**5 - 5/4*n**4 + 0*n**2. Determine f so that m(f) = 0.
-1, 0, 3
Let c be -3 - (-21 - (2 - 2)). Let d = -12 + c. Let -30*z + 14 + 25 - 4*z**2 + d + 9*z**2 = 0. Calculate z.
3
Let o be -37*4 + (4/(-2) - -5). Let z be 8*(o/40 + 4). Solve z*w**2 - 6*w**2 + 24*w - 3*w**2 + 4*w**2 - 22 = 0.
1, 11
Suppose 29 = -5*y - 16. Let d be 13 + y - 0/(-1). Solve d - 64*s**4 - 5*s**2 - 6 + s**3 - 9*s + 67*s**4 - 4*s**2 = 0.
-1, -1/3, 2
Let b(u) = -3*u - 11. Let o be b(-7). Suppose -5*j + 0*c = 3*c - 16, 3*j = -2*c + 10. Determine f, given that f - 16 + o*f + f - 4*f**j + 8*f = 0.
1, 4
Let z(d) be the first derivative of 3*d**4/4 + 32*d**3 - 99*d**2/2 + 7117. Factor z(j).
3*j*(j - 1)*(j + 33)
Let p(t) be the third derivative of t**10/10080 + t**9/2520 + t**8/2240 + 5*t**4/8 - 32*t**2. Let f(h) be the second derivative of p(h). Factor f(a).
3*a**3*(a + 1)**2
Factor 364 + 95*c**3 + 199*c - 651 + 337 + 246*c**2 - 2*c**4.
-(c - 50)*(c + 1)**2*(2*c + 1)
Determine h, given that 72/7*h**5 - 144/7*h - 276/7*h**4 + 0 + 1056/7*h**2 - 1108/7*h**3 = 0.
-3, 0, 1/6, 2/3, 6
Let p(h) be the third derivative of 3/28*h**4 + 10/21*h**3 + 1/105*h**5 + 14*h + 3*h**2 + 0. Suppose p(i) = 0. What is i?
-5/2, -2
Let d = 520073/7 - 74295. Factor 2/7*y**5 + 16/7 + 2/7*y**3 + d*y**4 - 20/7*y**2 - 8/7*y.
2*(y - 1)**2*(y + 2)**3/7
Let n(r) be the second derivative of r**4/10 + 8*r**3/3 - 28*r**2/5 + 1107*r + 1. Factor n(m).
2*(m + 14)*(3*m - 2)/5
Let c(d) = -16*d**2 - 112*d + 5. Let j be c(-7). Let r(f) be the first derivative of 5/4*f**4 + 10 + j*f**3 - 5/2*f**2 - 15*f. Factor r(k).
5*(k - 1)*(k + 1)*(k + 3)
Suppose 229*z - 225*z - 11 = w, -3*z + 32 = 4*w. Let o(p) be the second derivative of -p**z + 0 + 16*p + 2/15*p**6 - 2/5*p**5 + 16/3*p**3 - 8*p**2. Factor o(s).
4*(s - 2)*(s - 1)**2*(s + 2)
Suppose 4 = 4*m - 3*w, -30*w - 40 = -5*m - 35*w. What is v in 254335 + 214177 - v**5 + 242*v**m + 3*v**5 + 90992*v**2 + 553696*v - 64*v**4 + 5984*v**3 = 0?
-22, -1
Let y(s) be the third derivative of s**6/1800 + s**5/40 - 2*s**4/15 - 115*s**3/3 + 6*s**2 - 3. Let a(c) be the first derivative of y(c). Factor a(i).
(i - 1)*(i + 16)/5
Let j(a) be the second derivative of 5*a**7/168 - 7*a**6/12 + 57*a**5/16 - 85*a**4/12 - 55*a**3/6 + 60*a**2 - 3413*a. Solve j(z) = 0 for z.
-1, 2, 3, 8
Suppose 10*z = -0*z - 13*z. Let d be (z - 12/(-9)) + (-169)/156. Determine k so that 1/4*k**3 - d*k + 1/4 - 1/4*k**2 = 0.
-1, 1
Let u(x) be the first derivative of -7*x**4/20 - 229*x**3/10 + 99*x**2/5 - 92*x + 38. Let f(w) be the first derivative of u(w). Suppose f(o) = 0. What is o?
-33, 2/7
Let n = 19367 - 19364. Factor 2/7*c**2 - 2/7*c**n + 4/7*c + 0.
-2*c*(c - 2)*(c + 1)/7
Let k(f) = -5*f + 2 + 0*f + 4*f + 3*f. Let j be k(0). Factor 5*d - 7*d**2 + d**j + 11*d**2.
5*d*(d + 1)
Let u(a) = 37*a**3 - 143*a**2 + 35*a - 210. Let f be u(4). What is c in f + 43/3*c**2 - 67/3*c - 1/3*c**4 - 5/3*c**3 = 0?
-10, 1, 3
Let r be 8/(-16)*(-28 + 0 + 0). Let o(c) be the first derivative of 12/13*c**2 - r + 2/3*c**3 + 2/65*c**5 + 3/13*c**4 + 8/13*c. Suppose o(y) = 0. Calculate y.
-2, -1
Let n(z) be the second derivative of 2*z**6/15 - 48*z**5/5 + 47*z**4/3 - 140*z. Factor n(l).
4*l**2*(l - 47)*(l - 1)
Let d = -80992 - -80995. Solve 0 - 8/3*n + 2*n**2 + 14/3*n**d = 0 for n.
-1, 0, 4/7
Let t = 726 + -618. Let r be (1/(-3))/(t/(-972)). Factor -8/3*k**2 - k + 2/3 - k**r.
-(k + 1)*(k + 2)*(3*k - 1)/3
Let u(d) be the first derivative of -3*d**5/5 - 147*d**4/4 - 666*d**3 - 5346*d**2 - 20088*d + 978. Factor u(i).
-3*(i + 6)**3*(i + 31)
Suppose -1051 = -298*m - 142*m + 476 - 207. Factor 5*l**2 + 25/4*l + 0 - 5/4*l**m.
-5*l*(l - 5)*(l + 1)/4
Let c(r) be the second derivative of r**5/20 + 37*r**4/4 - 156*r**3 + 952*r**2 + 4352*r. Factor c(v).
(v - 4)**2*(v + 119)
Let b(v) = v**3 + 23*v**2 - 22*v + 48. Let q be b(-24). Let d(r) = r**3 - 2*r**2 + 9*r - 18. Let l be d(2). Factor 1/9*y**2 + q*y**3 + l*y + 0 - 1/9*y**4.
-y**2*(y - 1)*(y + 1)/9
Factor 0*m + 4*m**3 + 1/4*m**4 + 15/4*m**2 + 0.
m**2*(m + 1)*(m + 15)/4
Let g(s) be the second derivative of -s**6/20 + 3*s**5/2 + 157*s**4/8 - 5*s**3 - 117*s**2 - 499*s + 2. Suppose g(j) = 0. What is j?
-6, -1, 1, 26
Let m be -2*(-2)/(-4)*26/(-65). Let c(k) be the second derivative of 0*k**3 + m*k**2 + 0 - 1/100*k**5 + 13*k - 1/20*k**4. Determine t so that c(t) = 0.
-2, 1
Suppose 4*u = 3*u + 2. Suppose -3*d + 3*f = -18, -2*f - 24 = d - 6*d. Factor -2*k**5 + 15*k**2 + d*k - 6*k**3 - 2*k**4 + 4*k**5 - 13*k**u.
2*k*(k - 2)*(k - 1)*(k + 1)**2
Let o(d) be the second derivative of -d**4/108 + 766*d**3/27 - 293378*d**2/9 + 2627*d. Factor o(i).
-(i - 766)**2/9
Let z = -11923926 - -71817805626/6023. Let a = -2/317 - z. Factor -a*v + 2/19*v**2 + 0.
2*v*(v - 1)/19
Let w(l) = -8*l**3 - 4440*l**2 - 1240988*l + 1245464. Let u(i) = -7*i**3 - 4445*i**2 - 1240989*i + 1245462. Let a(x) = 4*u(x) - 3*w(x). Factor a(c).
-4*(c - 1)*(c + 558)**2
Solve 21*j**2 + 26*j**4 - 316*j**3 + 15*j**4 - 77*j**4 + 39*j**2 + 12*j**2 = 0 for j.
-9, 0, 2/9
Let x(y) be the third derivative of y**8/12320 + y**7/4620 - 9*y**4/4 - 55*y**2. Let t(g) be the second derivative of x(g). Determine j so that t(j) = 0.
-1, 0
Suppose -4*z + 6*z - 6 = 0, 286 = 2*y - 2*z. Let r = -101 + y. Factor -13*d + 9*d**2 - 12*d**2 + r*d**2 - 3*d**3 - 134*d.
-3*d*(d - 7)**2
Solve -169/2*u**5 - 904*u - 3664*u**2 - 64 - 3356*u**3 - 1040*u**4 = 0.
-8, -2, -2/13
Suppose 4*f - 5*f = -2. Suppose 8*a**2 -