5 - 1127*j. Factor t(d).
4*(d - 1)*(d + 411)/5
Let a(i) be the second derivative of i**4/30 + 4*i**3/3 + 64*i**2/5 + 668*i. Let a(m) = 0. What is m?
-16, -4
Let g(i) = 16*i - 672. Let v be g(42). Let z(u) be the first derivative of v*u**3 - 5 - 3*u**2 + 4*u + 1/2*u**4. Solve z(d) = 0 for d.
-2, 1
Let o(w) be the second derivative of -3/10*w**6 - 13 - 6/5*w**5 - 11/6*w**4 - 4/3*w**3 - 1/2*w**2 - 2*w. Find u, given that o(u) = 0.
-1, -1/3
Let s(f) be the third derivative of -f**5/40 + 29*f**4/16 - 25*f**3 + 2367*f**2. Solve s(g) = 0 for g.
4, 25
Let u(l) be the third derivative of -21*l**2 + 0 + 1/12*l**5 + 25/24*l**4 + 1/360*l**6 + 0*l - 11/3*l**3. Let q(n) be the first derivative of u(n). Factor q(v).
(v + 5)**2
Let f(b) be the third derivative of b**7/350 - 11*b**6/50 - 4*b**2 + 35. Solve f(u) = 0.
0, 44
Let z(a) = 2*a**3 - 54*a**2 + a - 27. Let r be z(27). Let u = -63 + 66. Suppose 2/15*f**4 - 2/15 + r*f**2 + 4/15*f**u - 4/15*f = 0. Calculate f.
-1, 1
Let f(j) = j**5 + j**4 - j**2 - j. Let h(q) = -20*q**5 - 20*q**4 + 35*q**3 + 80*q**2 + 45*q. Let b(t) = -15*f(t) - h(t). Determine y so that b(y) = 0.
-2, -1, 0, 3
Let w be 15 - (8579/780 + 4). Let d(j) be the third derivative of -1/52*j**4 - j**2 - 2/39*j**3 + 0 + 0*j + w*j**6 + 0*j**5. Find n, given that d(n) = 0.
-1, 2
Suppose 0 = -n - 2 - 1, 3*p = -2*n - 141. Let g be 26/8 + p/36. Find q such that -1 + 1 + 5*q + 5*q**3 + 13*q**2 - 3*q**g = 0.
-1, 0
Let x be (-7352)/190233 + (-18)/(-69). Factor 0 + 0*a**4 + 4/9*a**3 - 2/9*a**5 - x*a + 0*a**2.
-2*a*(a - 1)**2*(a + 1)**2/9
Let u = -6 + 6. Suppose 0 = -2*d - u*g + 3*g + 13, 5 = 2*d + 5*g. Factor -2*z**5 + 5*z**4 - 3*z**3 - z**3 - 2*z**d + 3*z**4.
-4*z**3*(z - 1)**2
Suppose 4*q - 5*h - 10 = q, -q + 5*h = 10. Solve -7 + 10*i**3 + 2 - 5*i + q*i**2 - 5*i**5 + 0*i**5 + 0 - 5*i**4 = 0 for i.
-1, 1
Let p(o) be the second derivative of 0*o**2 + 121/16*o**3 + 11/16*o**4 + 3/160*o**5 + 0 + 211*o. Find z such that p(z) = 0.
-11, 0
Let c = -11 + 11. Suppose -4*l = w + 7, c*w - 4*l - 22 = -2*w. Factor -2*r**2 + 1 - 6*r - 2 + w*r + r**3 + 3.
(r - 2)*(r - 1)*(r + 1)
Let l = 49465/36 + -1374. Let d(z) be the second derivative of 0 + 4*z + 5/18*z**3 - z**2 - l*z**4. Determine x, given that d(x) = 0.
2, 3
Let v(t) be the third derivative of -t**6/60 - 123*t**5/10 + 493*t**4/16 - 185*t**3/6 + 7465*t**2. Factor v(y).
-(y + 370)*(2*y - 1)**2/2
Let b be 1*-6 - (-3)/1 - -6. Find c, given that b*c**2 + 53*c - 16 + 50*c + c**2 - 111*c + 2*c**3 = 0.
-2, 2
Let z(n) be the second derivative of 0*n**2 + 0 + 2/3*n**3 + 2/9*n**4 - 3*n - 1/15*n**5. Suppose z(p) = 0. What is p?
-1, 0, 3
Let l = 190 - 186. Factor 0*i**l - 24*i - 2*i**2 + 2*i**4 + 0*i**4 + 25*i - i**5.
-i*(i - 1)**3*(i + 1)
Let l(g) = 81*g**2 - 516*g + 501. Let p(o) = 68*o**2 - 515*o + 502. Let r(z) = -5*l(z) + 6*p(z). Factor r(t).
3*(t - 169)*(t - 1)
Let h = -20369/28 - -5094/7. Let m(n) be the first derivative of -h*n**4 + 13 + 0*n**5 + 1/4*n**2 + 1/12*n**6 + 0*n**3 + 0*n. Factor m(t).
t*(t - 1)**2*(t + 1)**2/2
Let r = -29 - -31. Suppose 3*h + 55 = r*v, -4*h = -0 - 4. What is i in -56*i + 2*i**4 + v*i + 27*i + 2*i**3 = 0?
-1, 0
Suppose 9*n + 12 = 10*n + 3*d, 5*d - 3 = 4*n. Let a(q) be the first derivative of 0*q + 1/12*q**n + 12 + 0*q**2. Factor a(l).
l**2/4
Find f, given that 75/2*f**5 - 144 - 1122*f**2 + 780*f - 9*f**3 + 915/2*f**4 = 0.
-12, -2, 2/5, 1
Let o(f) = -5*f**2 + 7*f + 10. Let a be o(0). Let h(i) be the first derivative of -5/3*i**3 - a*i - 15/2*i**2 + 1. Factor h(v).
-5*(v + 1)*(v + 2)
Let v = 31270 + -31270. Solve -2/7*p**5 + 12/7*p**4 + 0*p - 16/7*p**3 + v*p**2 + 0 = 0 for p.
0, 2, 4
Let q(u) = -38. Let p(s) = -s + 46. Let w(g) = 2*p(g) + 3*q(g). Let o be w(-12). Factor 8/3*r + 0 - 2/3*r**3 + o*r**2.
-2*r*(r - 4)*(r + 1)/3
Suppose -4*w = -2*t + 70, 27*t + 5*w = 28*t - 29. Suppose 7*j**3 + 8 + 18*j**2 + 90*j - 2*j**4 - t*j + 3*j**4 - 31*j = 0. What is j?
-2, -1
Let b(i) = i**2 + 3*i - 11. Let o be b(6). Suppose 46*z - o*z = 21. Factor -3*s**3 - s + s**3 - 205 + 209 + z*s.
-2*(s - 2)*(s + 1)**2
Let f(b) = -2*b**3 - 3*b**2 - 2*b - 3. Let n be f(-2). Suppose 3*z - 2 - 1 = 0, -4 = -n*y - 4*z. Let 1/9*u + y + 1/9*u**2 = 0. What is u?
-1, 0
Let h be -4 - (4/(-22) + (-1024)/176). Factor -122*y - 189 - 991*y**2 - 31*y + 952*y**h - 3*y**3.
-3*(y + 3)**2*(y + 7)
Factor 1575/4*y**2 + 489/4*y - 3.
3*(3*y + 1)*(175*y - 4)/4
Suppose -2*a + 2*v + 8 = -6, -2*a = -4*v - 20. Let h(l) be the first derivative of 16/3*l**3 + 11/2*l**2 + 2*l + 7/4*l**a - 6. Factor h(t).
(t + 1)**2*(7*t + 2)
What is r in -2/19*r**3 - 98/19*r - 28/19*r**2 + 0 = 0?
-7, 0
Let a(i) be the first derivative of -i**4 + 8*i**3/3 + 16*i**2 - 86. Suppose a(d) = 0. What is d?
-2, 0, 4
Let p = 584014 - 584012. Factor 100 - 10*c + 1/4*c**p.
(c - 20)**2/4
Suppose 259 = 139*i - 158. Let m(t) be the first derivative of -2/3*t**3 + 0*t + 5/6*t**4 - 16 - i*t**2 - 2/15*t**5. Factor m(s).
-2*s*(s - 3)**2*(s + 1)/3
Suppose -506*f**2 + 211*f**2 + 290*f**2 + 205 - 200*f = 0. Calculate f.
-41, 1
Factor -462 - 453/2*c**2 - 690*c + 3/2*c**3.
3*(c - 154)*(c + 1)*(c + 2)/2
Let r(j) be the third derivative of j**8/5040 - j**7/42 + 5*j**6/4 + 7*j**5/20 + j**4/8 + 2*j**2 + 2*j. Let t(c) be the third derivative of r(c). Factor t(b).
4*(b - 15)**2
Let a(n) be the third derivative of 0 + 205*n**2 + 0*n - 968/3*n**3 - 1/60*n**5 + 11/3*n**4. Factor a(v).
-(v - 44)**2
Let h(g) be the third derivative of 2*g**2 - 1/180*g**6 - 1/210*g**7 + 1/90*g**5 - 1/1008*g**8 + 1/18*g**3 + 1/24*g**4 + 0 + 89*g. Suppose h(o) = 0. What is o?
-1, 1
Let l(z) be the third derivative of 1/75*z**5 - 5/3*z**3 + 1/900*z**6 + 0 - 9*z**2 + 0*z**4 + 0*z. Let r(o) be the first derivative of l(o). Factor r(d).
2*d*(d + 4)/5
Let q(z) = -308*z**3 + 2960*z**2 - 725*z + 30. Let u(n) = -4*n**3 + 5. Let r(b) = -q(b) - 3*u(b). Factor r(a).
5*(a - 9)*(8*a - 1)**2
Let o(n) be the first derivative of -2*n**3/3 + 9*n**2 - 3*n + 112. Let g(m) = -m**2 + 2*m - 1. Let k(x) = -3*g(x) + o(x). Suppose k(l) = 0. Calculate l.
-12, 0
Let f(z) be the first derivative of 25*z + 4/21*z**3 + 1/2*z**2 - 29 + 1/84*z**4. Let h(i) be the first derivative of f(i). What is u in h(u) = 0?
-7, -1
Let n(a) be the second derivative of a**4/36 - 31*a**3/18 + 40*a**2 + 39*a + 1. Let n(h) = 0. Calculate h.
15, 16
Let b = 459 + -476. Let m be ((-4)/(-6))/(b - -19). Factor -m*u**3 + 4/3*u**2 - u + 0.
-u*(u - 3)*(u - 1)/3
Suppose 26*w**3 - 12*w**5 + 36*w - 12*w**2 + w**5 + 12*w**4 + 14*w**5 - 28*w**3 - 37*w**3 = 0. Calculate w.
-6, -1, 0, 1, 2
Suppose -59/2*v - 1/2*v**2 - 57 = 0. What is v?
-57, -2
Let l(m) be the third derivative of m**5/90 + 4*m**4 + 47*m**3 + 1427*m**2. Find c such that l(c) = 0.
-141, -3
Let d be (-20)/(-7) - 5/((-35)/8). Suppose -5*z - 5*q = -70 + 50, -3*z + 5*q = d. Find j, given that -3*j**z - 18/5*j - 3/5*j**3 + 0 = 0.
-3, -2, 0
Let b(r) be the third derivative of -r**8/1008 - r**7/84 - r**6/16 - 21*r**5/20 + 2*r**2 - 12. Let w(y) be the third derivative of b(y). Solve w(v) = 0.
-3/2
Let n(p) be the second derivative of p**6/60 + 59*p**5/40 + 209*p**4/24 - 599*p**3/12 + 165*p**2/2 + 697*p. Determine k so that n(k) = 0.
-55, -6, 1
Let g = -289 - -291. Suppose 30 + g*d**2 + 0*d**2 + 199 + 109 + 52*d = 0. What is d?
-13
Factor -58/17*j**2 - 72 - 2/17*j**3 - 480/17*j.
-2*(j + 6)**2*(j + 17)/17
Let q = -7/6100 + 940939/12200. Let t = q + -77. Factor -1/8 + t*c**2 - 1/8*c + 1/8*c**3.
(c - 1)*(c + 1)**2/8
Let c(l) be the third derivative of l**6/300 - 167*l**5/150 + 65*l**4/4 - 483*l**3/5 - 2*l**2 - 3*l + 69. Factor c(s).
2*(s - 161)*(s - 3)**2/5
Suppose 16 - 60/7*i**3 + 16/7*i**4 - 416/7*i**2 + 348/7*i = 0. What is i?
-4, -1/4, 1, 7
Let h = -26/30601 + 140397570/214207. Let s = h - 655. Determine n so that 3/7*n**4 + 9/7*n**2 + 9/7*n**3 + s*n + 0 = 0.
-1, 0
Let x(k) be the third derivative of k**6/40 - 4*k**5/5 - 99*k**4/8 - 63*k**3 + 63*k**2 + 2*k - 15. Factor x(o).
3*(o - 21)*(o + 2)*(o + 3)
Let m(l) be the third derivative of l**8/840 - l**7/525 - l**6/60 + l**5/30 + l**4/15 - 4*l**3/15 + 1022*l**2. What is s in m(s) = 0?
-2, -1, 1, 2
Let h(n) be the second derivative of n**6/285 - 287*n**5/95 + 18336*n**4/19 - 7077314*n**3/57 + 6967871*n**2/19 - 1806*n. Suppose h(r) = 0. What is r?
1, 191
Factor -913*z - 66564 + 