 = 0. Calculate u.
-1, 2
Let j(s) be the third derivative of -1/8*s**4 + 0 + 0*s**3 + 1/60*s**5 + 0*s - 7*s**2 - 1/210*s**7 + 1/40*s**6. Suppose j(r) = 0. What is r?
-1, 0, 1, 3
Let o be -10*(351/130)/(-9). Factor 6 + 2*k - 1/2*k**4 - 3*k**o - 9/2*k**2.
-(k - 1)*(k + 2)**2*(k + 3)/2
Let f(d) be the first derivative of d**5/50 - d**4/15 - 7*d**3/15 - 4*d**2/5 + 19*d - 20. Let w(p) be the first derivative of f(p). Factor w(a).
2*(a - 4)*(a + 1)**2/5
Let q = -2276 - -2296. Determine i, given that q*i**3 + 10/3*i + 0 + 25/3*i**4 + 15*i**2 = 0.
-1, -2/5, 0
Let w(p) = -p**3 + 8*p**2 - 7*p + 2. Let x be w(7). Factor -68*y + 30 - 6 + 8*y**2 + 0*y**x + 12*y**2.
4*(y - 3)*(5*y - 2)
Let a(b) = -3*b**3 + b**2 - b. Let m(i) = 11*i**3 - 29*i**2 + 5*i + 25. Let q(n) = -4*a(n) - m(n). Factor q(g).
(g - 1)*(g + 1)*(g + 25)
Factor -112 + 16*h + 28*h**2 - 819*h**3 + 1642*h**3 - 827*h**3.
-4*(h - 7)*(h - 2)*(h + 2)
Let g(n) be the second derivative of 2*n**4/3 + n**3 - n**2 + 58*n. Factor g(t).
2*(t + 1)*(4*t - 1)
Let -8/5*n**3 + 2/5*n**4 + 8/5*n - 12/5*n**2 + 2 = 0. Calculate n.
-1, 1, 5
Let f(h) be the third derivative of h**7/42 + h**6/8 - 8*h**5/3 + 25*h**4/2 - 80*h**3/3 - 87*h**2. Factor f(p).
5*(p - 2)**2*(p - 1)*(p + 8)
Let y(m) be the second derivative of -m**5/30 - 2*m**4/9 - 36*m. Find o such that y(o) = 0.
-4, 0
Let a(d) = 5*d**4 + 2*d**3 - 48*d**2 - 45*d. Let w(m) = -5*m**4 - 3*m**3 + 47*m**2 + 45*m. Let l(o) = 2*a(o) + 3*w(o). Factor l(k).
-5*k*(k - 3)*(k + 1)*(k + 3)
Let v(l) be the second derivative of -l**4/3 - 44*l**3 - 2*l + 11. Factor v(n).
-4*n*(n + 66)
Let j(z) be the third derivative of z**7/1890 - 11*z**5/90 + 20*z**4/27 + 25*z**3/6 + z**2 + 15. Factor j(w).
(w - 5)**2*(w + 1)*(w + 9)/9
Let r = -28 + 28. Let s(n) be the first derivative of 0*n**3 + r*n**2 + 1/2*n**4 + 0*n + 1/5*n**5 + 2. Factor s(c).
c**3*(c + 2)
Let z(y) be the third derivative of -y**5/12 + 5*y**4/24 + 166*y**2 - y. Factor z(i).
-5*i*(i - 1)
Suppose 437 + 331 = 8*i. Let 33*y**4 - i*y - 15*y**2 - 3*y**2 - 36*y**4 - 19 + 115 + 21*y**3 = 0. Calculate y.
-2, 1, 4
Let h be 0/4 + -1 - -43. Factor -2*l**2 + 10 + 28*l - h - 66.
-2*(l - 7)**2
Let j be -3 + (-360)/(-105) - 67/(-7). Let f(p) be the second derivative of 0 - 5/3*p**3 + 10*p**2 - j*p + 5/48*p**4. Find d, given that f(d) = 0.
4
Let u(t) be the third derivative of -t**8/336 - 4*t**7/105 - t**6/8 + t**5/15 + 5*t**4/6 + 30*t**2 - t. Suppose u(p) = 0. Calculate p.
-5, -2, 0, 1
Solve -7*i**4 - 302*i**3 - 3*i**4 + 135*i + 5*i**5 + 242*i**3 + 90*i**2 = 0 for i.
-3, -1, 0, 3
Let l = -383 + 392. Let k(n) be the first derivative of 27/4*n**4 + 6 + 0*n + l*n**3 + 3*n**2. Factor k(q).
3*q*(3*q + 1)*(3*q + 2)
Let p = -146 - -143. Let c be (-140)/25 + 5 - p/5. Suppose c - 1/5*n**3 + 4/5*n**4 + 0*n + 0*n**2 + n**5 = 0. Calculate n.
-1, 0, 1/5
Let a(n) = 3*n**2 + 14*n - 3. Let b be a(-6). Let v be (1 + 22/b - 2)*3. Factor 1/7 - v*q**2 + 0*q.
-(q - 1)*(q + 1)/7
Suppose 0 = 2*n - 3*a - 5, -n - a + 5*a = 0. Let m(v) be the second derivative of -4/3*v**3 + 0 - 2*v - 1/6*v**4 - n*v**2. Factor m(l).
-2*(l + 2)**2
Suppose -3 - 17 = -10*k. Let x(n) be the third derivative of 1/8*n**4 + n**3 + 0 - 1/40*n**6 - 6*n**k - 1/10*n**5 + 0*n. Factor x(t).
-3*(t - 1)*(t + 1)*(t + 2)
Let b(d) be the second derivative of d**6/165 - 2*d**5/55 - d**4/22 + 6*d**3/11 + 162*d + 2. Find t such that b(t) = 0.
-2, 0, 3
Let q(l) be the third derivative of l**7/105 - l**6/30 - l**5/10 + 242*l**2. Factor q(w).
2*w**2*(w - 3)*(w + 1)
Let m(z) = -14*z**2 - 120*z - 118. Let q(w) = -18*w**2 - 120*w - 117. Let g(t) = -5*m(t) + 4*q(t). Determine d, given that g(d) = 0.
-1, 61
Suppose 0 = 3*l - 9, -2*h + 0 - 9 = -5*l. Let r = h + 1. Factor 322*p**3 + 1622*p**3 - 729*p**r - 16 + 137*p - 1080*p**2 + 176*p - 89*p.
-(p - 2)*(9*p - 2)**3
Let m be (-4*(-3)/18)/(2184/39). Let s(j) be the second derivative of 0*j**3 + 2/7*j**2 - 4*j - m*j**4 + 0. Let s(u) = 0. What is u?
-2, 2
Let u(l) = 30*l + 1564. Let x be u(-52). Factor -4/3*q**2 + 2/3*q**x + 0*q + 0 + 2/3*q**3.
2*q**2*(q - 1)*(q + 2)/3
Let x = -228 + 231. Let p(u) be the second derivative of -4*u + 3/4*u**4 + 0 + 1/2*u**2 - u**x. Solve p(v) = 0 for v.
1/3
Let d be (1/((-15)/(-6)))/((-1)/(-10)). Let q be (-6 - (3 + -6)) + 17/d. Find j such that 0 + j**4 + q*j**2 - 11/4*j**3 + 1/2*j = 0.
-1/4, 0, 1, 2
Let u(t) be the second derivative of 1/30*t**4 + 10*t - 2/15*t**3 + 1/5*t**2 + 0. Factor u(r).
2*(r - 1)**2/5
Let v(h) be the first derivative of -1/5*h**4 - 3/25*h**5 + 0*h**2 + 0*h - 1/15*h**3 - 24. Factor v(p).
-p**2*(p + 1)*(3*p + 1)/5
Let o(g) be the second derivative of -g**4/48 + 271*g**3/12 - 73441*g**2/8 + 907*g. Determine l, given that o(l) = 0.
271
Let u(b) = 5*b**3 + 90*b**2 + 758*b + 1176. Let h(d) = -21*d**3 - 360*d**2 - 3033*d - 4704. Let n(j) = 2*h(j) + 9*u(j). Let n(w) = 0. Calculate w.
-14, -2
Let l = 1962/25 + -5686/75. Solve -20/3*c**2 + l*c + 0 - 16*c**3 = 0 for c.
-2/3, 0, 1/4
Factor 3*v**3 - 3*v**2 - 97*v + 12 + 44*v + 41*v.
3*(v - 2)*(v - 1)*(v + 2)
Let q = -31 - -51. Let u = q + -13. Factor 3*a**3 - 3 + u - 4*a**2 + 4*a**3 - 9*a**3 + 2*a.
-2*(a - 1)*(a + 1)*(a + 2)
Let a(n) = -23*n**4 - 264*n**3 - 43*n**2 + 257*n + 73. Let b(p) = 11*p**4 + 133*p**3 + 21*p**2 - 129*p - 36. Let k(j) = -4*a(j) - 7*b(j). Solve k(t) = 0 for t.
-8, -1, -1/3, 1
Let m(x) be the second derivative of -x**7/147 + 2*x**6/105 - x**4/21 + x**3/21 + 24*x + 3. Solve m(t) = 0 for t.
-1, 0, 1
Let x be 1*-7 + 1484/210. Let d(o) be the third derivative of 0*o + x*o**5 + 0*o**3 - 6*o**2 + 0 + 1/6*o**4. Factor d(j).
4*j*(j + 1)
Let c be -12*((-12)/8 + 1). Suppose 0*w = 3*w - c. What is a in a**3 + 53*a**w - a**4 - 53*a**2 = 0?
0, 1
Factor 9*p**2 + 4*p**3 + 7*p + 3*p**2 - 3*p + 4*p.
4*p*(p + 1)*(p + 2)
Let g(w) = 24*w**4 - 20*w**3 + 8*w**2 + 8*w + 20. Let i(h) = h**4 - h**2 + h + 1. Let f(q) = g(q) - 20*i(q). Let f(b) = 0. Calculate b.
0, 1, 3
Let f(z) = -8*z - 19. Let k be f(18). Let r = k - -821/5. Factor 2/5*b + 4/5 - r*b**2.
-2*(b - 1)*(3*b + 2)/5
Let a = -27 + 27. Let -3*x**4 + 3*x + 3*x**2 + a*x**2 - 3*x**3 + 0*x**3 = 0. Calculate x.
-1, 0, 1
Factor -14/9*v**3 + 6*v + 12 - 2*v**2 - 2/9*v**4.
-2*(v - 2)*(v + 3)**3/9
Factor 20/3 - 41/3*z**3 + 5/3*z**4 - 68/3*z + 83/3*z**2 + 1/3*z**5.
(z - 2)*(z - 1)**3*(z + 10)/3
Factor -28 - 21 - 72*o - 28 + 17 - 10 - 2*o**2.
-2*(o + 1)*(o + 35)
Let u = 12 + -11. Let s = 1 + u. Factor -1 + 2*l - 7*l + 3 + 3*l**s.
(l - 1)*(3*l - 2)
Let b(s) be the first derivative of s**6/72 + s**5/8 + 5*s**4/12 + 41*s**3/3 - 3. Let c(t) be the third derivative of b(t). Factor c(p).
5*(p + 1)*(p + 2)
Let k(b) be the first derivative of -12*b**3 + 96*b**2 - 256*b + 115. Find g, given that k(g) = 0.
8/3
Let x(o) be the third derivative of -o**7/1050 - o**6/600 + o**5/75 + o**4/30 - 297*o**2 + o. Factor x(k).
-k*(k - 2)*(k + 1)*(k + 2)/5
Factor 0 + 8/3*s**2 - 16/3*s - 1/3*s**3.
-s*(s - 4)**2/3
Let l(x) be the first derivative of x**4/40 + 29*x**3/10 + 2523*x**2/20 + 24389*x/10 + 179. Factor l(v).
(v + 29)**3/10
Let i = 61 - 57. Factor 8*q**3 - 8 + 12*q**2 - 8*q**2 + 2*q**i - 8*q + 2*q**2.
2*(q - 1)*(q + 1)*(q + 2)**2
Let v = -10169/3 + 3391. Solve 16/3*x**3 - 14/3*x - 8/3 + 4/3*x**2 - 2/3*x**5 + v*x**4 = 0.
-1, 1, 4
Let n(c) be the second derivative of -c**4/14 + 8*c**3/21 + 3*c**2/7 - 10*c + 2. Suppose n(m) = 0. What is m?
-1/3, 3
Find s such that -6/13*s**3 + 178/13*s + 64/13*s**2 + 4 = 0.
-2, -1/3, 13
Let w(s) = 2*s**2 + 3*s + 3. Suppose -2*t - 6 = 4*t. Let y be w(t). Find u, given that 0 - 1/4*u**y - 3/4*u = 0.
-3, 0
Let r = 1319 - 1319. Suppose 4/7*l - 8/7*l**3 + 0 + 4/7*l**5 + 0*l**2 + r*l**4 = 0. Calculate l.
-1, 0, 1
Let o(y) = -37*y**2 - 105*y - 14. Let h(q) = -76*q**2 - 210*q - 26. Let z(b) = 2*h(b) - 5*o(b). Factor z(f).
3*(f + 3)*(11*f + 2)
Suppose 6*i - 22 = 14. Factor i*w + 76 - 37 - 35 + 2*w**2.
2*(w + 1)*(w + 2)
Suppose -s + n + 114 = 0, -120 - 212 = -3*s + n. Let r = 193 - s. Determine h, given that -121*h**2 - 10 - 84*h**3 - 2 + 25*h**2 - 39*h**2 + 147*h**4 + r*h = 0.
-1, 2/7, 1
Let x(r) = -4*r + 80. Let l be x(21). Let o be 12/l + 6/5*5. Factor -2/5*i**o + 0 - 4/5*i**2 + 0*i.
-2*i**2*(i + 2)/5
Let i(l) = 5*l**2 - 87*l + 82. Let d be i(1). What is h in -1/7*h - 1/7*h**5 + 2/7*h**3 + 0*h**2 + d*h**4 + 0 = 