7/240*m**6 + 0*m. Determine f, given that k(f) = 0.
-4, 0, 1
Find j, given that 273 - 999*j + 243 + 9*j**2 + 2086*j - 947*j = 0.
-86/9, -6
What is t in 406356*t - 6*t**5 + 2*t**5 - 84*t**3 + 56*t**4 - 160*t**2 + 192 - 406180*t = 0?
-1, 2, 12
Let q(d) = -3*d**3 - 101*d**2 + 268*d - 178. Let u(m) = 10*m**3 + 311*m**2 - 807*m + 535. Let l(f) = -7*q(f) - 2*u(f). Factor l(w).
(w - 2)*(w - 1)*(w + 88)
Factor 3/8*z**3 - 201/8*z - 9/4*z**2 - 45/2.
3*(z - 12)*(z + 1)*(z + 5)/8
Let z be -2 + -13 + 0 + 11 - (-361)/90. Let h(k) be the second derivative of 0*k**3 - 1 + 1/15*k**5 - z*k**6 + 0*k**2 + 2*k + 0*k**4. Factor h(f).
-f**3*(f - 4)/3
Suppose 2*f = 6*f - 8. Let m = 19 - 15. Determine y, given that -m*y**2 - 19*y + 19*y + f*y**3 + 2*y**4 + 0*y**4 = 0.
-2, 0, 1
Let p be (-171)/(-342) + (-12)/(-224)*12. Determine m, given that -80/7 - 26/7*m**3 + 60/7*m**2 + p*m + 2/7*m**4 = 0.
-1, 2, 10
Let l be (-3553)/(-51) - ((-2)/6 - -1). Suppose -l = -26*y + 3*y. Determine q so that 4/3*q + 4/3 - 1/3*q**y - 1/3*q**2 = 0.
-2, -1, 2
Let u(n) be the first derivative of -n**6/3 + 9*n**4/2 - 8*n**3/3 - 12*n**2 + 10163. Suppose u(j) = 0. What is j?
-3, -1, 0, 2
Suppose -6*w + 76 = 40. Factor 164*z**2 - 2*z**3 + w*z**3 - 862*z + 1022*z.
4*z*(z + 1)*(z + 40)
Suppose 0*p = 5*p + 15. Let y = 0 - p. Let 18*z**y - 15*z - 7 + 1 - 514*z**2 + 517*z**2 = 0. What is z?
-2/3, -1/2, 1
Let t(g) = -24*g**3 - 2385*g**2 + 475212*g - 3. Let n(v) = 63*v**3 + 7156*v**2 - 1425636*v + 8. Let a(f) = -3*n(f) - 8*t(f). Suppose a(k) = 0. Calculate k.
0, 398
Let r = -169372/3 - -56466. Find s such that -58/3*s**3 + 0*s + r*s**4 + 0 + 10*s**2 + 2/3*s**5 = 0.
-15, 0, 1
Let x = -150 - -350. Let p = -198 + x. What is d in -1/4*d**3 + 0*d**p + 1/2 + 3/4*d = 0?
-1, 2
Let f(y) be the third derivative of -y**7/105 + 67*y**6/60 - 128*y**5/15 + 21*y**4 - 2*y**2 - 10975. Factor f(x).
-2*x*(x - 63)*(x - 2)**2
Let f(i) be the second derivative of -4*i**5/25 + 253*i**4/10 + 863*i**3/15 + 96*i**2/5 - 470*i - 1. Determine c so that f(c) = 0.
-1, -1/8, 96
Let g be -29*(-105)/(-1305) + (-6)/(-2). Factor 34/3 + 32/3*n - g*n**2.
-2*(n - 17)*(n + 1)/3
Let f be (12/(-11))/((-1550)/3410). Suppose -1/5*b - 1/5*b**2 + f = 0. What is b?
-4, 3
Let g(x) = 8*x**2 - 467*x - 55225. Let y(v) = 5*v**2 - 468*v - 55225. Let p(q) = -2*g(q) + 3*y(q). Suppose p(r) = 0. What is r?
-235
Suppose 3*h = -48, -46*h - 20 = -2*a + 54*h - 99*h. Find i, given that 0*i - 24*i**a - 4/3*i**5 - 28*i**3 + 0 - 32/3*i**4 = 0.
-3, -2, 0
Let v(t) be the first derivative of 80/7*t**2 - 4/21*t**3 - 92 + 0*t. Factor v(u).
-4*u*(u - 40)/7
Let x be 8/((-68048)/(-1152) - 59). Factor -3/5*b**3 - 336/5*b + 57/5*b**2 + x.
-3*(b - 8)**2*(b - 3)/5
Let b(z) = -5*z - 14 + 2*z**2 + 2*z - 3*z**2 - 5*z - 8*z. Let i(u) = -2*u - 1. Let h(c) = 2*b(c) - 10*i(c). Suppose h(s) = 0. Calculate s.
-3
Factor 44/3*t + 64 + 2/3*t**2.
2*(t + 6)*(t + 16)/3
Let q(n) be the first derivative of -n**7/5880 + n**6/210 - n**5/40 - 7*n**4/12 - 16*n**3/3 + 43. Let r(i) be the third derivative of q(i). Factor r(z).
-(z - 7)**2*(z + 2)/7
Suppose 2*c - 4*b = -58, -5*b = 3*c + 3656 - 3745. Let 0*w + 15/2*w**4 - 15/2*w**2 - 3/2*w**c + 3/2*w**5 + 0 = 0. Calculate w.
-5, -1, 0, 1
Let w(b) be the second derivative of -65/12*b**4 + 0*b**2 + 1/2*b**5 + 192*b + 0 + 25/3*b**3 + 1/6*b**6. Suppose w(g) = 0. Calculate g.
-5, 0, 1, 2
Let g(n) = -n**3 - 2*n - 1. Let t be g(-1). Suppose -244*w = -247*w + 9. Factor 3*v**3 - 5 - 3*v - 2*v + 5*v**2 + t*v**w.
5*(v - 1)*(v + 1)**2
Suppose 21/5*z**2 + 243/5 + 153/5*z - 1/5*z**3 = 0. What is z?
-3, 27
Let q(c) be the third derivative of -c**7/147 + 2*c**6/105 + 29*c**5/210 - 5*c**4/21 - 4*c**3/7 - 1016*c**2 - c. Suppose q(m) = 0. Calculate m.
-2, -2/5, 1, 3
Let q(k) = 20*k**2 - 3*k - 15. Let y be q(-3). Let -1513 + 683*n**2 - 686*n**2 - 1010 - y*n = 0. Calculate n.
-29
Let d(o) = 189*o**3 - 2*o**2 + o. Let w be d(1). Factor -2*g**3 - 100 - 56*g**2 - 2*g**3 - w - 228*g.
-4*(g + 3)**2*(g + 8)
Let 60 + c - 1/2*c**3 - 11/2*c**2 = 0. Calculate c.
-10, -4, 3
Let r(x) be the second derivative of x**6/6 + 3*x**5/4 - 260*x**4/3 - 1135*x - 3. Factor r(o).
5*o**2*(o - 13)*(o + 16)
Let i(o) be the second derivative of -31/12*o**4 - 1/20*o**5 + 5 + o - 112/3*o**3 + 128*o**2. Suppose i(h) = 0. Calculate h.
-16, 1
Let m(b) be the third derivative of 11*b**5/30 - 49*b**4/24 + 90*b**2 + 8*b. Let m(i) = 0. What is i?
0, 49/22
Suppose 9*g - 10*g + 50 = 0. Suppose -4*b + 9*b = g. What is s in b + 2/5*s**2 - 4*s = 0?
5
Let z be (-260)/(-39)*11/88. Let v(m) be the first derivative of 5*m + z*m**3 + 15/4*m**2 + 4. Let v(h) = 0. Calculate h.
-2, -1
Let w(b) be the third derivative of -17*b**6/60 + 33*b**5/40 + b**4/8 + 107*b**3/6 - 27*b**2 - b. Let k(p) be the first derivative of w(p). Factor k(q).
-3*(q - 1)*(34*q + 1)
Determine m so that -232*m + m**2 - 448*m + 25*m - 68*m + 138*m = 0.
0, 585
Let f be (-29)/((-58)/4) + (23 - -1). Suppose 15*y - 10*y = 4*n + 8, -5*y + f = 2*n. Find g, given that 7/5*g**4 + 0 - g**n + 0*g - 2/5*g**2 = 0.
-2/7, 0, 1
Solve 3003/5*h**3 + 0 - 169/5*h**4 + 85*h - 447*h**2 = 0.
0, 5/13, 17
Let z(r) = 2*r**4 - 15*r**3 - 2*r**2 + 29*r. Let n(f) = f**4 - 7*f**3 - f**2 + 15*f. Let w(d) = -7*n(d) + 4*z(d). Solve w(u) = 0 for u.
-1, 0, 1, 11
Let l = -101 - -101. Suppose l = o + 2*o - 9. Let 3*a + 105*a**4 - a**o + 1 - 2*a**3 + 0*a**2 + a**2 - 107*a**4 = 0. Calculate a.
-1, -1/2, 1
Factor -1/4*y**2 - 39/4*y - 27.
-(y + 3)*(y + 36)/4
Let a(f) be the first derivative of -2*f**3/15 - 616*f**2/5 - 189728*f/5 - 4957. Factor a(d).
-2*(d + 308)**2/5
Let i(s) be the third derivative of -s**6/780 + s**5/26 + 37*s**4/12 + 155*s**3/13 + 5*s**2 + 579. Solve i(v) = 0 for v.
-15, -1, 31
Solve 264*y + 663*y**2 - 207*y**2 - 250*y**2 - 209*y**2 + 267 = 0.
-1, 89
Let u(r) be the third derivative of 0 + 0*r**4 + 0*r**3 + 1/1155*r**7 + 0*r + 0*r**5 + 42*r**2 - 1/660*r**6. What is w in u(w) = 0?
0, 1
Let s = 79 + -74. Solve 4*o**4 + 8*o + 76*o**s - 37*o**5 - 47*o**5 - 28*o**2 + 24*o**3 = 0.
-2, 0, 1/2, 1
Let v be ((-322)/(-35))/(2/5). Factor 17*t**3 + v*t**3 - 39*t**3 - 4 + t**4 - 9*t**2 + 11*t.
(t - 1)**3*(t + 4)
Let i(m) be the third derivative of 1/600*m**6 + 13/300*m**5 + 0 + 0*m**4 + 0*m**3 - 2*m**2 + 0*m. Let i(n) = 0. Calculate n.
-13, 0
Factor -177315 - 2*u**2 - 477053 + 1776*u + 512*u.
-2*(u - 572)**2
Let s(f) be the third derivative of 0 + 0*f**3 + 4/105*f**7 + 1/6*f**4 + 0*f - 23*f**2 + 1/6*f**6 + 4/15*f**5. Suppose s(i) = 0. Calculate i.
-1, -1/2, 0
Let i(v) = 5*v**3 + 12*v**2 - 9*v + 4. Let m(a) = 8*a**3 + 24*a**2 - 18*a + 7. Let p(u) = -7*i(u) + 4*m(u). What is l in p(l) = 0?
0, 1, 3
Let s = -12 + 12. Suppose s = -2*p - v + 10, 0*p - 5*v + 23 = p. Factor 14*y + 267*y**2 + 3*y**3 - 257*y**2 - y**p + 6.
2*(y + 1)**2*(y + 3)
Let a(o) = o**3 - o + 2. Let y be a(0). Suppose 0 = -u - y + 5. Suppose 7 + 43*n**2 - 8*n**u - 6*n + 1 + 2*n - 63*n**2 = 0. Calculate n.
-2, -1, 1/2
Let r(x) be the third derivative of -x**7/105 - 431*x**6/60 - 429*x**5/10 - 1285*x**4/12 - 428*x**3/3 + 349*x**2. Factor r(d).
-2*(d + 1)**3*(d + 428)
Factor 1279*r + 2*r**2 + 670482 + 1190*r - 153*r.
2*(r + 579)**2
Let h be 2 + 28/(-12) - (-2)/6. Factor -28 + 44 + h*u - 20*u + 4*u**2.
4*(u - 4)*(u - 1)
Let n(g) be the first derivative of g**7/280 - 4*g**6/15 - 108*g**3 + 269. Let l(x) be the third derivative of n(x). Factor l(y).
3*y**2*(y - 32)
Let o be (-322)/(-4) + -1 + (-15)/(-10). Let l = o - 74. Solve -y**2 + 3161 - l*y + y - 3166 = 0.
-5, -1
Suppose 0 = -r + 11 + 1. Suppose -w + 16 = r. Factor 3*d**3 + 20*d**2 + w*d - 7*d**2 - 3*d**2 - 8.
(d + 2)**2*(3*d - 2)
Let w(t) = -4*t**3 + 22*t**2 + 106*t - 288. Let a(d) = -d**3 + d. Let l(u) = 10*a(u) + 2*w(u). Factor l(s).
-2*(s - 3)**2*(9*s + 32)
Factor 2/15*x**3 + 76/15*x**2 + 1024/5 + 896/15*x.
2*(x + 6)*(x + 16)**2/15
Let m(y) = -y**4 - 50*y**3 + 25*y**2 + 98*y + 42. Let n(f) = f**4 + 97*f**3 - 49*f**2 - 197*f - 85. Let x(q) = -11*m(q) - 6*n(q). Let x(v) = 0. What is v?
-1, -3/5, 4
Let s(d) = -2*d**3 - 7*d**2 + 2*d - 7. Let u be s(-4). Let m be u + 5 + 184/(-48). Factor -m*r + 1 + 5/6*r**2.
(r - 2)*(5*r - 3)/6
Let l(r) = 77*r - 2461. Let q be l(32). Let j(a) be the first derivative of 1/34*a**4 + 0*a - 5 + 1/17*a**2 - 4/51*a**q. Factor j(g).
2*g*(g - 