)/8
Let c = 839 + -848. Let x be c/(-21) + 0 - 48/112. What is j in -1/2*j**3 - 1/6*j + x - 1/6*j**4 - 1/2*j**2 = 0?
-1, 0
Let s = -167/183 + 76/61. Factor -s*i**2 + i - 2/3.
-(i - 2)*(i - 1)/3
Suppose 0 + 160/7*t + 4/7*t**4 - 76/7*t**3 - 88/7*t**2 = 0. What is t?
-2, 0, 1, 20
Suppose 70*i = 90*i - 360. Let j be (-78)/(-65)*20/i. Factor 2*k - 2/3*k**3 + 0 + j*k**2.
-2*k*(k - 3)*(k + 1)/3
Let i(o) be the third derivative of o**6/300 - 53*o**5/150 - o**4/60 + 53*o**3/15 - 472*o**2. What is t in i(t) = 0?
-1, 1, 53
Factor 1971*v**2 - 53335*v - 186509*v - 84876*v + 322752 - 3*v**3.
-3*(v - 328)**2*(v - 1)
Let y(r) = -260*r - 1817. Let a be y(-7). Let f(h) be the third derivative of 0*h - 1/12*h**a + 27*h**2 - 1/240*h**6 - 1/40*h**5 - 1/16*h**4 + 0. Factor f(o).
-(o + 1)**3/2
Determine z, given that 417/7*z**4 - 54/7*z**5 + 288*z**3 - 660*z - 15399/7*z**2 + 252 = 0.
-6, -1/2, 2/9, 7
Find k, given that 2/3*k**2 - 32/9 - 94/9*k = 0.
-1/3, 16
Let r(v) be the first derivative of -15*v**4/8 + 489*v**3 + 294*v**2 + 7946. Factor r(k).
-3*k*(k - 196)*(5*k + 2)/2
Suppose -22*j - 52*j = 666. Let o be j/(432/(-4020)) + 3/4. Let 1/2*q**2 + o + 13*q = 0. Calculate q.
-13
Let w(d) be the third derivative of 1/150*d**5 + 15*d**3 + 19 + 0*d - 1/2*d**4 + 3*d**2. Factor w(z).
2*(z - 15)**2/5
Solve 1713/5*w - 1/5*w**2 + 1714/5 = 0 for w.
-1, 1714
Let b = 72 - 66. Suppose w + 2*o - 3*o - b = 0, o - 6 = -3*w. Suppose -3*r**3 - 8*r**3 - 2*r**3 + 9*r**w + 4*r**2 + 8*r = 0. What is r?
-1, 0, 2
Let k(y) be the third derivative of y**6/30 + 37*y**5/40 + 63*y**4/8 - 49*y**3/12 - 48*y**2. Factor k(x).
(x + 7)**2*(8*x - 1)/2
Let q = -1148 - -1151. Suppose 4*l = -q*l - 2*l. Let l - 8/9*f**2 + 4/9*f**3 + 4/9*f = 0. Calculate f.
0, 1
Let z(q) be the first derivative of -q**5/35 - 395*q**4/28 - 787*q**3/21 - 393*q**2/14 - 3896. Factor z(a).
-a*(a + 1)**2*(a + 393)/7
Factor -1458 - 45/2*r**2 - 324*r - 1/2*r**3.
-(r + 9)*(r + 18)**2/2
Let j be 182/(-65)*(-15)/4*2. Solve -16*q**3 - 8*q - 9*q**2 - 16*q**2 + j*q**3 + 38*q = 0.
0, 2, 3
Let f(r) be the third derivative of r**7/630 + r**6/90 + r**5/90 - r**4/18 - r**3/6 - 1761*r**2. Let f(x) = 0. What is x?
-3, -1, 1
Suppose -o + 868 = 6*o. Let m = o - 1608/13. Solve m*j**3 - 2/13*j**5 - 2/13*j + 0*j**2 + 0*j**4 + 0 = 0.
-1, 0, 1
Let q(k) be the first derivative of -10*k + 0*k**2 + 1/42*k**3 + 1/84*k**4 - 6. Let n(m) be the first derivative of q(m). Let n(x) = 0. Calculate x.
-1, 0
Let x(i) = 13*i**2 + 14*i**2 - 17*i - 10*i**2. Let r(w) be the second derivative of -w**4/2 + w**3 - 17*w - 1. Let q(t) = -8*r(t) - 3*x(t). Factor q(f).
-3*f*(f - 1)
Let h(c) be the third derivative of -5*c**8/672 + 19*c**7/84 - 17*c**6/24 - c**5/12 + 175*c**4/48 - 85*c**3/12 + 396*c**2 + 3*c. Let h(s) = 0. What is s?
-1, 1, 17
Let f(l) be the first derivative of -1/30*l**5 - 32 + 4/3*l + 5/24*l**4 - 1/3*l**3 - 1/3*l**2. Factor f(s).
-(s - 2)**3*(s + 1)/6
Let f(z) be the first derivative of -2*z**2 + 1/3*z**6 - 2*z**3 + 1/2*z**4 + 14 + 6/5*z**5 + 0*z. What is o in f(o) = 0?
-2, -1, 0, 1
What is r in 13*r**4 - 12*r - 9*r**2 - 2*r**5 + 823*r**3 - r**5 - 4*r**4 - 808*r**3 = 0?
-1, 0, 1, 4
Let a(u) be the second derivative of u**4/78 + 4*u**3/13 + 32*u**2/13 + 2*u - 1064. Factor a(v).
2*(v + 4)*(v + 8)/13
Let u(d) = -6*d + 3. Let h(s) = s**2 + 11*s + 10. Let p be h(-10). Let k be u(p). Factor 11*c**3 - 3*c + 6*c**3 - 14*c**k - 3 + 3*c**2.
3*(c - 1)*(c + 1)**2
Suppose 7832 = 3284*t + 7832. Suppose 0*w**2 + t*w + 24/11*w**3 - 2/11*w**4 - 2/11*w**5 + 0 = 0. Calculate w.
-4, 0, 3
Let m(x) be the first derivative of -4*x**6/21 + 122*x**5/35 - 167*x**4/14 + 268*x**3/21 - 24*x**2/7 - 3373. Suppose m(r) = 0. Calculate r.
0, 1/4, 1, 2, 12
Let t(r) be the third derivative of -1/9*r**3 + 1/216*r**6 + 0*r + 0 - 153*r**2 - 19/216*r**4 - 2/135*r**5. Factor t(h).
(h - 3)*(h + 1)*(5*h + 2)/9
Let z(s) be the first derivative of -138 + 612*s + 447*s**3 + 912*s**2 - 27/4*s**4. Factor z(f).
-3*(f - 51)*(3*f + 2)**2
Let y(d) be the third derivative of -d**7/280 + d**6/120 + d**5/8 + 3*d**4/8 + 25*d**3/2 + 8*d**2. Let v(o) be the first derivative of y(o). Factor v(u).
-3*(u - 3)*(u + 1)**2
Let v(o) be the first derivative of -4/9*o**3 - 4/15*o**5 + 1/3*o**6 + 0*o - 7/6*o**4 - 113 + 0*o**2. Find b such that v(b) = 0.
-1, -1/3, 0, 2
Let o(u) be the first derivative of -u**6/840 + u**5/210 + u**4/21 + 3*u**2/2 + 61*u - 58. Let l(r) be the second derivative of o(r). Factor l(f).
-f*(f - 4)*(f + 2)/7
Let u be 50640/22788*3*2/10. Determine r so that -26/3*r**3 + u*r - 14/9*r**5 + 0 + 14/9*r**2 + 22/3*r**4 = 0.
-2/7, 0, 1, 3
Let d(p) be the second derivative of 0*p**3 + 1/63*p**7 - 111*p + 14/45*p**6 + 0*p**2 + 8/9*p**4 + 0 - 31/30*p**5. Factor d(y).
2*y**2*(y - 1)**2*(y + 16)/3
Let m = -707362/5 - -141473. Factor 0*j + 0*j**4 + 0*j**2 + 0 - 3/5*j**3 + m*j**5.
3*j**3*(j - 1)*(j + 1)/5
Let q = 167 - 165. Factor -20*j**2 - 10*j + 2*j**3 + 127*j**4 + q*j - 122*j**4.
j*(j - 2)*(j + 2)*(5*j + 2)
Suppose 2*h - i + 6 = 0, -67*h + 62*h = 5*i - 15. Let y be 0 - h - 608/1064. Find m such that 0*m**2 + y*m**4 - 6/7*m - 3/7 + 6/7*m**3 = 0.
-1, 1
Let n(r) = 12*r + 74 + 5*r - 32*r + 3*r. Let p be n(6). Factor 2/5*z**3 + 0 - 2/5*z**4 + 0*z + 0*z**p.
-2*z**3*(z - 1)/5
Let c(f) be the first derivative of 1/225*f**6 + 0*f**2 + 2/75*f**5 - 6*f + 0*f**3 + 1 + 2/45*f**4. Let a(b) be the first derivative of c(b). Factor a(q).
2*q**2*(q + 2)**2/15
Suppose 3*z + 2*x + 55 = x, -x = 4*z + 75. Let w be 8/z - -2*52/10. Let -18 + 12*k + w - 4*k**3 + 0*k**3 = 0. Calculate k.
-2, 1
Factor -2/11*b**3 + 0*b + 0 + 288/11*b**2.
-2*b**2*(b - 144)/11
Factor 1/7*i + 10/7*i**2 + 9/7*i**3 + 0.
i*(i + 1)*(9*i + 1)/7
Let d be 88/70 + (-24)/(-168) + 3/(-5). Let z(t) be the first derivative of -2*t**4 + d*t**5 + 2 + 2/3*t**6 + 2*t**2 - 8/3*t**3 + 4*t. Factor z(n).
4*(n - 1)**2*(n + 1)**3
Let n = 4487/6738 + 5/6738. Solve 2/9*u - 2/9*u**3 + n*u**2 - 2/3 = 0 for u.
-1, 1, 3
Let q(d) = 3*d**3 + 17*d**2 - 155*d - 696. Let x be q(-4). Let 6/5*u + 17/5*u**5 - 49/5*u**2 - 23/5*u**3 + 49/5*u**x + 0 = 0. What is u?
-3, -1, 0, 2/17, 1
Solve -2062084*b**2 + 7644*b**3 - 16*b**4 - 2070720*b - 3629*b**3 - 518400 + 7489*b**3 = 0.
-1/2, 360
Determine l so that -60 + 11/2*l**3 + 13*l**2 + 1/2*l**4 - 22*l = 0.
-6, -5, -2, 2
Suppose 0 = -31*m + 43*m + 12. Let a be 12/3 + m + (-80)/28. Solve -a*i**2 + 0 - 1/7*i = 0 for i.
-1, 0
Suppose -4*w - 20 = -2*n, 4*n - 4*w + 3 = 27. Let f(h) be the first derivative of 18 + 0*h + 1/32*h**4 + 1/16*h**n - 1/12*h**3. Solve f(b) = 0.
0, 1
Suppose 1149*n - 13264 = 102*n - 2269*n. Solve 0*v + 0 + 16/3*v**2 + 2/3*v**5 - 2/3*v**3 - 16/3*v**n = 0.
-1, 0, 1, 8
Factor -166/3*y + 1/3*y**3 - 400/3 + 19/3*y**2.
(y - 8)*(y + 2)*(y + 25)/3
Let z be ((-3)/(-2) - 35/30)*171. Let q = -53 + z. Find c such that -9*c**3 - 243*c - 55*c**3 + 297*c**2 + 3*c**q + 7*c**3 = 0.
0, 1, 9
Let c(x) be the first derivative of -5*x**6/2 + 8*x**5 - 15*x**4/2 + 5*x**2/2 - 3691. Factor c(p).
-5*p*(p - 1)**3*(3*p + 1)
Let g = -3875 + 3878. Suppose 11*q + 7 = 29. Let 0 - 5/3*x**q + x**g - 2/3*x = 0. Calculate x.
-1/3, 0, 2
Let s(w) be the second derivative of w**4/24 - 3*w**3 - w - 261. Determine x so that s(x) = 0.
0, 36
Let t(k) = 4*k**3 - 1058*k**2 - 712*k + 358. Let f(z) = -16*z**3 + 5289*z**2 + 3558*z - 1791. Let u(g) = 2*f(g) + 11*t(g). Let u(o) = 0. What is o?
-1, 1/3, 89
Let k(o) be the third derivative of 5*o**9/3024 + 31*o**8/336 + 130*o**3/3 - 15*o**2 - 2*o. Let l(r) be the first derivative of k(r). Find v such that l(v) = 0.
-31, 0
Let k = 88146 + -88142. Determine g so that -37/2*g**2 + 12*g - 2 + 21/2*g**3 - 2*g**k = 0.
1/4, 1, 2
Find f, given that -747*f + 3/2*f**2 + 1488 = 0.
2, 496
Suppose -2*s = 14*s + 3*s - 5*s. Factor 5/3*y + s + 5/6*y**2.
5*y*(y + 2)/6
Let w(i) = 8*i**2 + 1225*i - 1233. Let o(a) = 3*a**2 + 490*a - 493. Let p(c) = 13*o(c) - 5*w(c). Factor p(v).
-(v - 244)*(v - 1)
Suppose g = -g - 158. Let s = g + 79. Factor -2*f**3 + 3*f + s*f + 3*f + 0*f - 4.
-2*(f - 1)**2*(f + 2)
Let x(c) be the third derivative of c**6/160 - 49*c**5/80 + 23*c**4/16 + 12*c**3 - 3266*c**2. Suppose x(b) = 0. What is b?
-1, 2, 48
Let m(u) be the first derivative of -u**4/4 + 113*u**3 + 170*u**2 + 9954. Find j, given that m(j) = 0.
-1, 0, 340
Suppose