j**7. Factor f(h).
(h - 1)*(h + 1)**3*(h + 3)/5
Let b(r) be the first derivative of -r**7/28 + 3*r**5/40 - 163*r - 153. Let p(k) be the first derivative of b(k). Factor p(u).
-3*u**3*(u - 1)*(u + 1)/2
Let r be (-1)/(2 + (-15)/5). Let a be r/(-8) + (-99)/(-24). Factor -6*s**4 - 4*s**a + 5*s**3 - 6*s**5 + 0*s**5 + 11*s**5.
5*s**3*(s - 1)**2
Let j be ((0 - -4) + 2)*3/6. Determine a so that -160*a**2 + 147*a**2 + 6*a**j + 16*a - 6 - 3*a**5 - 2*a**5 - 17*a**3 + 17*a**4 + 2 = 0.
-1, 2/5, 1, 2
Let w(k) be the third derivative of -k**5/90 + 10*k**4/9 + 187*k**3/3 - 3714*k**2. Factor w(p).
-2*(p - 51)*(p + 11)/3
Let p(f) be the third derivative of f**8/1008 + 4*f**7/315 + f**6/30 - f**5/90 - 13*f**4/72 - f**3/3 + 25*f**2 - 14. Factor p(i).
(i - 1)*(i + 1)**3*(i + 6)/3
Let h = 78139/60802 - -5/8686. Find a such that 0 - h*a**3 + 9/7*a - 24/7*a**2 = 0.
-3, 0, 1/3
Let y(x) = 1798*x - 14380. Let i be y(8). Let s(u) be the first derivative of 5/6*u**6 - 23/5*u**5 + 16 - 4/3*u**3 + 15/2*u**4 - i*u**2 + 0*u. Factor s(w).
w*(w - 2)**2*(w - 1)*(5*w + 2)
Let d(m) be the first derivative of 152 + 16/7*m + 1/21*m**3 - 5/7*m**2. Factor d(k).
(k - 8)*(k - 2)/7
Let -23755*w**3 + 14212975*w + 7945*w**3 + 28375395*w**2 + w**4 + 9*w**4 - 14196125 - 17885*w**3 = 0. What is w?
-1, 1/2, 1685
Let u be (-19)/(15 + -16) + -19. Let b(w) be the third derivative of 0*w - 1/40*w**6 - 5/2*w**4 - 2/5*w**5 + u - 8*w**3 + 17*w**2. Factor b(i).
-3*(i + 2)**2*(i + 4)
Let h(d) be the third derivative of 5041*d**7/210 - 7597*d**6/30 + 853*d**5/60 - d**4/4 + 890*d**2. Factor h(j).
j*(j - 6)*(71*j - 1)**2
Let t(f) be the first derivative of f**4/24 + f**3/4 + f**2/2 - 134*f + 75. Let u(x) be the first derivative of t(x). Suppose u(m) = 0. What is m?
-2, -1
Suppose -106 = -4*j + 2*g, 5*j + 7*g + 1883 - 1835 = 0. Suppose 0 + 14/3*y - j*y**2 + 7/3*y**3 = 0. Calculate y.
0, 2/7, 7
Let v = -582742/3 + 194250. Factor 28/3*y - v - 20/3*y**2.
-4*(y - 1)*(5*y - 2)/3
Let s(o) be the first derivative of o**6/10 - 12*o**5/5 + 66*o**4/5 + 192*o**3/5 - 1512*o**2/5 - 5184*o/5 + 504. Suppose s(t) = 0. What is t?
-2, 6, 12
Let 807891 - 161*v - 2369*v - 487846 + 5*v**2 = 0. What is v?
253
Let k(l) = l**2 + l. Let p be k(-2). Suppose 6*a - 50 = -p. Factor 4*u**3 + 9*u**3 - 4*u**2 + 5*u**3 - 6*u**3 - a*u**4.
-4*u**2*(u - 1)*(2*u - 1)
Suppose 4*w - 24 = -3*z, 2*z + z + 3 = 5*w. Solve w*j**4 - 13 - 266*j + 131*j + 25*j**2 + 135*j**3 - 37 + 22*j**4 = 0.
-5, -1, -2/5, 1
Suppose 5*k = 20, 0 = -0*y + 3*y + 3*k - 21. Suppose 3*u = -0*u + 6. Let -44*w**u + 34*w**2 - 5*w**5 - 23*w**y - 2*w**3 - 20*w**4 = 0. Calculate w.
-2, -1, 0
Let v(m) = m**2 - m - 1. Let y(z) be the first derivative of 4*z**3 + 24*z**2 + 188*z - 11. Let t(p) = -8*v(p) + y(p). Let t(h) = 0. Calculate h.
-7
Suppose 5 + 3 = 2*i. What is z in 3*z**4 + 0*z**i - 3*z**3 + 15*z**2 - 2*z - 9*z**3 - 4*z = 0?
0, 1, 2
Suppose 160/17 + 954/17*w**2 - 6/17*w**5 + 86/17*w**4 - 752/17*w - 26*w**3 = 0. Calculate w.
1/3, 1, 4, 5
Suppose 4*w = j - 18, -3*j = -6*j + w + 10. Let l(f) be the first derivative of -3/4*f**4 + 1/4*f**6 + 3/4*f**j + 0*f + 0*f**3 + 0*f**5 - 8. Factor l(d).
3*d*(d - 1)**2*(d + 1)**2/2
Let j(f) be the third derivative of 0*f + 0*f**3 + 0 + 0*f**4 - 1/24*f**6 + 328*f**2 - 1/12*f**5. Determine m, given that j(m) = 0.
-1, 0
Let k(y) = -61*y**3 + 19*y**2 - 13. Let w(z) be the second derivative of -z**5/2 + z**4/4 - z**2 - 6*z + 2. Let g(x) = -6*k(x) + 39*w(x). Factor g(t).
-3*t**2*(8*t - 1)
Let w(u) be the second derivative of u**5/5 + 26*u**4/3 + 250*u**3/3 + 200*u**2 + u + 114. Factor w(v).
4*(v + 1)*(v + 5)*(v + 20)
Let f(p) be the third derivative of 0*p + 4/3*p**3 - 1 - 1/30*p**5 + 1/4*p**4 + 26*p**2. Factor f(r).
-2*(r - 4)*(r + 1)
Suppose q + 96 = 2*h - 284, 5*h = -5*q - 1975. Let t = q + 390. Determine k so that -11*k**2 + 2*k + 49/4*k**5 + 9/2*k**3 + 119/4*k**4 + t = 0.
-2, -1, 0, 2/7
Suppose 0*x + 14 = 7*x. Suppose -219*o**2 - 20*o - 6*o**4 + 24 + 20*o**3 + 199*o**2 + x*o**4 + 0*o**4 = 0. Calculate o.
-1, 1, 2, 3
Let s(z) = -2*z**2 + 8*z + 2. Let a(w) be the first derivative of w**3 - 7*w**2/2 + 29. Let i(c) = -4*a(c) - 5*s(c). Determine q so that i(q) = 0.
-5, -1
Let o = 513 - 508. Suppose 25*r - o*r = 0. Factor r + 14/3*v**2 + 0*v - 2/3*v**3.
-2*v**2*(v - 7)/3
Let z(t) = -2*t**2 - 162*t - 170. Let y(v) = -2*v**2 - 155*v - 168. Let q(o) = -2*y(o) + 3*z(o). Factor q(f).
-2*(f + 1)*(f + 87)
Find k, given that 9944*k**4 + 64*k - 96*k**2 + 9957*k**4 - 19905*k**4 + 36*k**3 = 0.
0, 1, 4
Let j(h) be the second derivative of -h**4/48 + 17*h**3/6 + 35*h**2/2 + h + 902. Solve j(g) = 0 for g.
-2, 70
Let o(z) be the second derivative of -1/2*z**2 - 1/12*z**5 + 0*z**4 - 2*z + 0 + 0*z**3. Let u(d) be the first derivative of o(d). Factor u(m).
-5*m**2
Let u = 40 - 35. Suppose u*p = p + 24. Determine b so that 6 - b**3 + 4*b**3 - p*b - 3*b = 0.
-2, 1
Let r(a) = 6*a - 91. Let m be r(14). Let u be (8 + -3 + 1)/(-5 - m). Solve 2/15*p**2 + 2/15*p**u + 0 + 0*p = 0 for p.
-1, 0
Let n(m) be the third derivative of -m**5/30 - 3*m**4 + 37*m**3/3 - 1084*m**2. Determine s, given that n(s) = 0.
-37, 1
Let m(z) = -z**2. Suppose 10*k - 48 = 2*k. Let a(b) = 3*b**3 - 12*b**2 + 3*b. Let p(u) = k*m(u) - a(u). Find w, given that p(w) = 0.
0, 1
Let a(d) be the second derivative of 25/3*d**4 - 1 + 40*d**2 + 5/42*d**7 - 30*d**3 - 10*d - d**6 + 5/4*d**5. Let a(c) = 0. What is c?
-2, 1, 2, 4
Let h(a) = 4*a**2 + a + 1. Let w(s) = 52*s**2 - 48*s - 60 - 58 + 130. Let u(f) = 12*h(f) - w(f). What is j in u(j) = 0?
0, 15
Let z be (5 - 5)/(351/27). Let g(a) be the second derivative of -1/110*a**5 + 0 - 1/66*a**4 + z*a**2 + 0*a**3 + 22*a. Determine o so that g(o) = 0.
-1, 0
Let i(k) be the second derivative of k**5/80 + k**4/16 + k**3/8 + 31*k**2 - 48*k. Let t(m) be the first derivative of i(m). Factor t(b).
3*(b + 1)**2/4
Solve 24*b**3 - 225*b**2 - 55*b**4 + 635484*b - 309*b**3 + 3*b**5 + 2*b**5 - 635484*b = 0.
-3, -1, 0, 15
Let b(d) be the first derivative of 5*d**3/3 - 1920*d**2 + 737280*d - 2071. Factor b(t).
5*(t - 384)**2
Determine x so that 1365*x**3 + 4541*x**2 - 12*x**5 - 1001*x**2 + 2292*x - 927 + 111*x**4 + 111 = 0.
-4, -2, 1/4, 17
Let c(l) be the second derivative of l**7/189 - 7*l**5/90 + l**4/9 - 1581*l + 1. Suppose c(d) = 0. Calculate d.
-3, 0, 1, 2
Let g(o) be the third derivative of 0 + 0*o + 1/240*o**5 + 37*o**2 - 1/48*o**4 + 1/24*o**3. Factor g(f).
(f - 1)**2/4
Factor 0 - 1/4*o**2 - 2893/4*o.
-o*(o + 2893)/4
Let n(s) be the first derivative of -1/39*s**6 - 8/65*s**5 + 29 + 0*s + 0*s**3 + 0*s**2 + 0*s**4. Find p, given that n(p) = 0.
-4, 0
Let c(k) be the second derivative of 0*k**2 + 7/6*k**3 + 0 + 1/36*k**4 - 128*k. Determine x so that c(x) = 0.
-21, 0
Find p such that 0 + 42/5*p**4 + 0*p + 3/5*p**5 + 72/5*p**3 + 0*p**2 = 0.
-12, -2, 0
Suppose -21 = -5*h - 2*n, 47*n = 2*h + 46*n - 30. Suppose h*a**4 - 39/2*a**3 + 18*a**2 - 6*a - 3/2*a**5 + 0 = 0. What is a?
0, 1, 2
Let p = -306337 + 306340. Suppose 6/13*n + 6/13*n**2 + 2/13 + 2/13*n**p = 0. Calculate n.
-1
Let z(q) be the second derivative of q**5/4 - 5*q**4/4 - 719*q. Factor z(o).
5*o**2*(o - 3)
Suppose -5*v + 14 = -3*m, -4*v = 2*m - 5*v. Factor 35*j - 2*j**m - 24*j + j + 14.
-2*(j - 7)*(j + 1)
Suppose -n = -4*w - 1325, -5*n + w = -2758 - 3867. Let r = n + -1322. Let -1/5*l + 0 + 0*l**2 - 1/5*l**5 + 0*l**4 + 2/5*l**r = 0. What is l?
-1, 0, 1
Let p be -4 + -129 + 20/5. Let k = p - -165. Factor 25*w**4 - 38*w**4 + 24*w**3 + k*w**2 + 17*w**4.
4*w**2*(w + 3)**2
Factor -8/3*n - 17/3*n**2 + 4 + n**3.
(n - 6)*(n + 1)*(3*n - 2)/3
Find p such that 209*p**2 + 247*p**2 + p**5 - 109*p**2 + 2*p**5 + 70*p**2 + 522*p - 189*p**3 - 81*p**4 = 0.
-3, -1, 0, 2, 29
Suppose -64 = -47*b + 43*b, -5*l + 36*b - 215 = 351. Determine g, given that 152/7*g + 104/7 + 2/7*g**4 - 6/7*g**l - 52/7*g**3 = 0.
-1, 2, 26
Let o(u) be the first derivative of 43 - 4/3*u**3 + 1/3*u**4 + 1/5*u**5 + 9*u + 0*u**2. Let y(j) be the first derivative of o(j). Find b such that y(b) = 0.
-2, 0, 1
Let t be (1802/15317)/((-8)/(-306)). Find k such that -t + 1/4*k**2 - 7/4*k = 0.
-2, 9
Let c = 141809/12 + -11817. Let u(h) be the second derivative of -21*h - 10/3*h**3 - 10*h**2 + 0 - c*h**4. Find x such that u(x) = 0.
-2
Let x(p) be the third derivative of -p**7/7