 = 0 for j.
-2, -1
Let j(a) be the second derivative of -a**4/20 - 13*a**3/5 + 814*a. Solve j(z) = 0 for z.
-26, 0
Suppose -23*r = -r - 242. Suppose -30 = -r*h - 8. Suppose -3/4 - 1/4*j**h - j = 0. What is j?
-3, -1
Factor 72*w + 163*w**2 - 55 - 21 - w**3 - 178*w**2.
-(w - 2)**2*(w + 19)
Let p(t) be the first derivative of 119 - 7*t**3 - 21/4*t**4 - 6/5*t**5 - 3*t**2 + 0*t. Suppose p(r) = 0. Calculate r.
-2, -1, -1/2, 0
Let z(a) = -2*a**3 - a**2 + a. Let m(c) be the first derivative of -17*c**4/4 - 2*c**3 + 101*c**2/2 + 150*c - 43. Let t(n) = m(n) - 6*z(n). Factor t(s).
-5*(s - 5)*(s + 2)*(s + 3)
Let d = 1514 + -1485. Suppose 9*k + d*k = 380. Determine b so that 8*b**3 + 2 + k*b + 29/2*b**2 + 3/2*b**4 = 0.
-2, -1, -1/3
Let z = 956039/6 - 159339. Let 5/6*g - 35/6*g**2 + 5 + 5/6*g**4 - z*g**3 = 0. What is g?
-2, -1, 1, 3
Let x(q) be the first derivative of q**5/5 + q**4 - 19*q**3/3 + 7*q**2 + 3486. Let x(s) = 0. Calculate s.
-7, 0, 1, 2
Factor 3/4*t**2 + 15/2*t - 3/4*t**3 + 6.
-3*(t - 4)*(t + 1)*(t + 2)/4
Suppose -40 = -13*l - 14. Let 1626 - 1869*b**l + 9643*b - 9748 + 14*b**3 + 465*b**2 + 25757*b - 1878 = 0. What is b?
2/7, 50
Suppose -781131 + 781224 = 31*u. Factor 20/9 + 16/9*o**2 + 34/9*o + 2/9*o**u.
2*(o + 1)*(o + 2)*(o + 5)/9
Let a(c) be the third derivative of -c**8/1680 - c**7/210 - c**6/90 + c**4/8 - c**3/2 + 29*c**2. Let r(w) be the second derivative of a(w). Solve r(l) = 0.
-2, -1, 0
Factor -368*z - 24315*z**2 + 1068 + 12158*z**2 + 12161*z**2.
4*(z - 89)*(z - 3)
Let f(a) be the third derivative of 3*a**7/245 - 43*a**6/140 + 16*a**5/21 - 13*a**4/21 + 4047*a**2. Factor f(z).
2*z*(z - 13)*(3*z - 2)**2/7
Suppose 0 = a + 2*a - 4*n - 26, a - 4*n = 22. Suppose -129*j**3 + a*j**2 + 3*j - 3*j + 130*j**3 = 0. Calculate j.
-2, 0
Factor 6/11*s + 4/11 + 2/11*s**2.
2*(s + 1)*(s + 2)/11
Suppose 5*g + 45 = -3*m, 5*m + g + 112 = 15. Let r(u) = -2*u**2 + 22*u + 14. Let p(t) = 2*t + 1. Let v(f) = m*p(f) + 2*r(f). Determine z, given that v(z) = 0.
-1, 2
Let b(v) = -v**2 + 4*v - 1. Let d(y) = -9*y**3 - 6579*y**2 - 1203432*y + 401874. Let w(m) = 6*b(m) + d(m). Suppose w(p) = 0. What is p?
-366, 1/3
Factor 2*n**2 + 140/11*n - 20/11*n**3 + 0 + 2/11*n**4.
2*n*(n - 7)*(n - 5)*(n + 2)/11
Let x(t) = 2*t - 1. Let p(l) = 10*l + 4. Let h(m) = -p(m) + 4*x(m). Let d be h(-5). Factor 2/9*n - 8/9*n**d + 2/3*n**3 + 0.
2*n*(n - 1)*(3*n - 1)/9
Determine g so that 15*g + 12 + 3/2*g**2 - 3/2*g**3 = 0.
-2, -1, 4
Let q(t) = -84*t + 189. Let p be q(2). Suppose -5*h - p = -m - 2*m, 2*m + 10*h = -26. Factor -3/7*k + 4/7*k**m + 0 - 1/7*k**3.
-k*(k - 3)*(k - 1)/7
Determine w, given that w**5 + 23/5*w**4 + 0 - 44/5*w**2 + 24/5*w - 10*w**3 = 0.
-6, -1, 0, 2/5, 2
Let y(h) be the second derivative of -h**6/2 + 23*h**5/4 - 65*h**4/12 - 35*h**3/6 + 633*h. Let y(o) = 0. Calculate o.
-1/3, 0, 1, 7
Let u(c) be the first derivative of -c**4 + 224/3*c**3 + 65 - 1568*c**2 + 0*c. Factor u(d).
-4*d*(d - 28)**2
Let p be -1902*20/(-60) + -1 + -1. Suppose -26 = p*c - 645*c. Solve 3/2*a**c + 3/4*a**3 - 6*a + 0 = 0.
-4, 0, 2
Suppose 38*y = 30*y + 24. Find h such that -78*h - h**4 - 2*h**4 - 23*h**3 + 36 + 58*h**2 - y*h**3 + 8*h**3 + 5*h**4 = 0.
1, 2, 3
Let x(g) be the second derivative of g**7/21 + 16*g**6/15 + 17*g**5/2 + 95*g**4/3 + 184*g**3/3 + 64*g**2 + 45*g - 14. Let x(n) = 0. What is n?
-8, -4, -2, -1
Let v(x) = 3*x**3 + 16*x**2 - 3*x - 20. Let p(k) = -7*k**3 - 34*k**2 + 7*k + 44. Let l(d) = 2*p(d) + 5*v(d). Solve l(j) = 0.
-12, -1, 1
Solve -9663*q - 196 - 64*q**4 + 19422*q - 928*q**3 - 10951*q - 1860*q**2 = 0.
-49/4, -1, -1/4
Let q(y) be the second derivative of y**5/5 + 11*y**4 + 80*y**3 + 232*y**2 + 2*y - 435. Factor q(c).
4*(c + 2)**2*(c + 29)
Let h = 33/80 - 83/240. Let n(l) be the first derivative of -1/3*l + 2/9*l**3 + 0*l**4 + 0*l**2 + 14 - h*l**5. Factor n(q).
-(q - 1)**2*(q + 1)**2/3
Let i(n) = 27*n**2 - 26*n - 4. Let k(y) = -y + 2. Let s be 1 - ((-6 - -2) + 5) - 1. Let o(q) = s*i(q) - 3*k(q). Factor o(a).
-(a - 1)*(27*a - 2)
Let l(x) be the third derivative of x**7/42 + 235*x**6/24 + 39*x**5/2 - 444*x**2. Solve l(i) = 0.
-234, -1, 0
Let h(n) be the first derivative of 19 - 352/15*n**3 - 12*n**2 - 121/30*n**4 - 32/15*n. Find c such that h(c) = 0.
-4, -2/11
Let 14/3*u**3 + 2/15*u**4 + 138/5*u**2 + 56/3 + 626/15*u = 0. Calculate u.
-28, -5, -1
Let t(f) be the first derivative of -3*f**3/2 - f**2 + 1531. Factor t(q).
-q*(9*q + 4)/2
Let p(z) = z**2 + 14*z - 502. Let n be p(-31). Let r be n/(-6)*54/(-180). Factor 5/2*i - 15/4 + r*i**2.
5*(i - 1)*(i + 3)/4
Let i = 126095 - 252161/2. Determine f so that 89/4*f - 5/4*f**3 - i*f**2 - 13/2 = 0.
-13, 2/5, 1
Let d(x) be the second derivative of -2/15*x**6 + 8/3*x**3 + 0*x**2 - 4/5*x**5 + 1 + 1/3*x**4 + 3*x. Solve d(a) = 0 for a.
-4, -1, 0, 1
Let f(y) = 5*y**2 + 49*y - 7. Let r be f(-10). Determine w, given that 2*w**5 - w - 3*w**5 + 2*w**4 + 2*w**5 + r*w**2 - 5*w**2 = 0.
-1, 0, 1
Let i(s) be the second derivative of 3*s**6/5 - 511*s**5/10 - 109*s**4 + 308*s**3 + 232*s**2 - 4847*s. Solve i(k) = 0 for k.
-2, -2/9, 1, 58
Let s(o) be the second derivative of -243*o**7/56 + 8829*o**6/10 - 3813993*o**5/80 - 1287067*o**4/24 - 143591*o**3/6 - 5329*o**2 + o - 13. Factor s(k).
-(k - 73)**2*(9*k + 2)**3/4
Factor 358*o**3 + 21446 - 2581*o**2 - 83398 + 2*o**4 + 14753*o**2 + 4364*o**2 + 45056*o.
2*(o - 1)*(o + 4)*(o + 88)**2
Suppose -53*i + 108 = -62*i. Let a = i + 16. Suppose 0 + 0*w + 4/3*w**3 - 2/3*w**5 + 0*w**2 + 2/3*w**a = 0. What is w?
-1, 0, 2
Let d be ((-2164)/(-5))/(-2) - 44/(-110). Let w be d/972 + (-56)/(-90). What is c in 0 - 2/5*c - 4/5*c**2 - w*c**3 = 0?
-1, 0
Let y(a) be the third derivative of a**9/6048 - a**8/840 + a**7/420 + 64*a**3/3 - 52*a**2. Let n(r) be the first derivative of y(r). Factor n(v).
v**3*(v - 2)**2/2
Suppose 165 + 146 = -f - z, 0 = -f + 5*z - 335. Let a be 3/63 + (-30)/f. Suppose 0 - a*y**2 + 0*y = 0. What is y?
0
Suppose -k - y + 287 = 3*k, 20 = -4*y. Let q = k - 65. Factor q*r**4 + 19*r**5 + 6*r**2 - 15*r**3 - 22*r**5 + 4*r**4.
-3*r**2*(r - 2)*(r - 1)**2
Factor 82*g**3 + 483 + 652 + 5*g**4 + 1728*g + 594*g**2 - g**4 + 377.
2*(g + 6)**2*(g + 7)*(2*g + 3)
Let i be 1/(-10) - 301/43. Let k = i - -157/20. Let -9/4*u**2 - k*u**3 + 0 - 3/2*u = 0. Calculate u.
-2, -1, 0
Let a(b) be the first derivative of 3*b**4/2 + 141*b**3/8 + 621*b**2/8 + 1215*b/8 - 7288. Factor a(c).
3*(c + 3)**2*(16*c + 45)/8
Let p(a) be the second derivative of -a**6/40 + 609*a**5/80 - 9991*a**4/16 - 31827*a**3/8 + a - 2304. Find g, given that p(g) = 0.
-3, 0, 103
Suppose 0 = -2*l - 2*i + 294, -3*l + 14*i + 429 = 11*i. Determine d, given that -40 + 15*d**4 - l*d**3 + 224*d + 256*d - 515*d + 205*d**2 = 0.
-1/3, 1, 8
Let d(p) = 11*p**2 + 131*p. Suppose -5*w = 4*s + 23, s - 4*s = -3*w + 51. Let a be d(s). Solve 7/2 + 11*q + 5*q**3 + a*q**2 + 1/2*q**4 = 0.
-7, -1
Let w = -420 + 418. Let g be 19/((-950)/(-60))*w/(-12). Factor 0 + g*m**3 + 2/5*m**2 + 1/5*m.
m*(m + 1)**2/5
Let r(o) be the second derivative of -o**4/4 + 45*o**3 + 837*o**2/2 - 14147*o. What is f in r(f) = 0?
-3, 93
Let v = -263231 - -263441. Factor v*x + 441/4 - 83/4*x**2 + 1/2*x**3.
(x - 21)**2*(2*x + 1)/4
Let l(i) be the second derivative of -9*i**5/20 + 161*i**4/2 - 107*i**3/2 + 168*i + 6. Factor l(f).
-3*f*(f - 107)*(3*f - 1)
Factor -75*t - 5120 + 248998*t**2 - 245*t - 249003*t**2.
-5*(t + 32)**2
Let o(i) be the first derivative of 0*i**2 - 1/70*i**5 + 1/105*i**6 - 1/7*i**3 - 5/42*i**4 - 36*i - 7. Let x(n) be the first derivative of o(n). Factor x(f).
2*f*(f - 3)*(f + 1)**2/7
Suppose u = -u + 8. Let d = -324 + 327. Factor -8*x**2 + u*x**2 + x**4 - 80*x**3 + 4*x + 79*x**d.
x*(x - 2)*(x - 1)*(x + 2)
Let t(c) be the third derivative of -47*c**5/300 - 103*c**4/24 + 11*c**3/15 + 1781*c**2. Factor t(v).
-(v + 11)*(47*v - 2)/5
Let q(l) = -13064*l - 287406. Let v be q(-22). Find j, given that -2/7*j**v + 100/7*j + 0 = 0.
0, 50
Suppose -5*f = -5*x - 145, -32 = 2*f - 3*f + 4*x. Let p = 31 - f. Determine o, given that -o**p - 5*o**3 + 3 - 6*o**4 + 6*o + 3*o**4 + 0*o**4 = 0.
-1, 1
Let s(m) be the third derivative of 0*m + 0*m**4 - 2/105*m**7 - 1/24*m**6 + 0*m**3 - 1/336*m**8 - 30*m**2 + 0 - 1/30*m**5. Factor s(p).
-p**2*(p + 1)**2*(p + 2)
Let k = 99 + -99. Suppose 4*m = 2*b + 16, -3*b + k - 20 = -4*m. F