s - 7)**2*(s + 1)**2/7
Factor -2/13*v**2 + 56 + 24/13*v.
-2*(v - 26)*(v + 14)/13
Solve -3*z**3 + 3*z**5 - 2*z**4 + 6*z**3 - 114*z**2 + 96 + 20*z**4 - 6*z**3 = 0 for z.
-4, -1, 1, 2
Let g(n) be the third derivative of -n**6/280 - 17*n**5/35 - 65*n**4/56 + 67*n**3/7 - 4178*n**2 + 2. Factor g(r).
-3*(r - 1)*(r + 2)*(r + 67)/7
Let g(u) be the second derivative of 1/108*u**4 + 0 - 10/27*u**3 - 316*u + 50/9*u**2. Factor g(r).
(r - 10)**2/9
Let r(c) be the first derivative of 3*c - 1/9*c**3 + 128 + 0*c**2. Factor r(t).
-(t - 3)*(t + 3)/3
Let p = 49704651/352356248 + 1/1591971. Let v = p + -4/249. Factor v*z**3 - 1/8*z + 1/8*z**2 + 0 - 1/8*z**4.
-z*(z - 1)**2*(z + 1)/8
Let a(z) = -5*z**2 - 8*z - 7. Let j(b) = 4*b**2 + 7*b + 6. Let i(p) = 2*a(p) + 3*j(p). Let k be i(-2). Factor -15*w**3 + 85*w - 85*w + 5*w**4 + 10*w**k.
5*w**2*(w - 2)*(w - 1)
Factor -822/13*j + 2/13*j**2 + 0.
2*j*(j - 411)/13
Let f(q) = 3*q**3 - 16*q**2 + 11*q + 14. Let i(k) = -2*k**3 + 14*k**2 - 11*k - 15. Let g(c) = -3*f(c) - 4*i(c). Determine s, given that g(s) = 0.
-9, -1, 2
Let d(l) = 3*l**2 - 19*l + 8. Let k be d(6). Let w(p) be the second derivative of 0*p**k - 2/5*p**5 + 0*p**3 - 8*p + 0 - 1/3*p**4. Factor w(z).
-4*z**2*(2*z + 1)
Let y(h) be the first derivative of -2*h**5/5 + 8*h**4 - 30*h**3 - 54*h**2 + 432*h - 1593. Determine u, given that y(u) = 0.
-2, 3, 12
Factor -153/7 + 93/7*v + 48/7*v**2.
3*(v + 3)*(16*v - 17)/7
Let i(j) be the first derivative of -j**4/2 + 20*j**3/3 - 9*j**2 + 1508. What is x in i(x) = 0?
0, 1, 9
Factor 2634/7*b + 4*b**2 + 188/7.
2*(b + 94)*(14*b + 1)/7
Let i(v) be the first derivative of v**4/12 + 8*v**3/3 - 25*v**2/6 + 1142. Solve i(c) = 0 for c.
-25, 0, 1
Let k(u) be the third derivative of -u**5/570 - 11*u**4/114 - 39*u**3/19 + 3771*u**2. Factor k(p).
-2*(p + 9)*(p + 13)/19
Let x(g) be the third derivative of -g**6/720 + 3*g**4/16 - 10*g**3/3 - 64*g**2. Let u(b) be the first derivative of x(b). Solve u(c) = 0 for c.
-3, 3
Let c = 201 + -1807/9. Let a = -9630916/9 - -1070102. Find z, given that -c*z**3 - 14/9*z**2 - 4/3 + 26/9*z + a*z**4 = 0.
-3, 1, 2
Suppose 0 = 5*n - r - 33, 123 = -n - 2*r + 156. Factor n + 6*q**2 + 33/2*q - 3/2*q**3.
-3*(q - 6)*(q + 1)**2/2
Let c = 9843/7 + -1399. Let w = 116731/51079 + 3/7297. Factor -16/7*x**4 + c*x**3 - w + 8*x - 76/7*x**2 + 2/7*x**5.
2*(x - 2)**3*(x - 1)**2/7
Let g(h) be the first derivative of -5*h**4/24 - 1175*h**3/9 - 68440*h**2/3 + 278480*h/3 + 5094. Factor g(b).
-5*(b - 2)*(b + 236)**2/6
Factor -257270*p**5 + 514563*p**5 - 88*p**4 + 68*p**3 - 16*p**2 - 257257*p**5.
4*p**2*(p - 1)**2*(9*p - 4)
Let d(w) be the second derivative of w**6/180 + w**5/18 - 11*w**4/18 + 16*w**3/9 - 153*w**2/2 + 7*w + 4. Let q(v) be the first derivative of d(v). Factor q(o).
2*(o - 2)*(o - 1)*(o + 8)/3
Let f(d) be the third derivative of 8*d**7/105 + 13*d**6/30 - 23*d**5/5 - 3*d**4 - 6*d**2 - 18. Suppose f(b) = 0. Calculate b.
-6, -1/4, 0, 3
Let c(w) be the first derivative of 79 + 188*w**2 - 8836*w - 4/3*w**3. Factor c(n).
-4*(n - 47)**2
Let f(t) = t**3 + 3059*t**2 - 496108*t - 499280. Let g(n) = 3075*n**2 - 496110*n - 499280. Let l(v) = 5*f(v) - 6*g(v). Factor l(p).
5*(p - 316)**2*(p + 1)
Let x(y) be the first derivative of 1/24*y**6 + 0*y**4 - 1/10*y**5 - 1/8*y**2 + 1/6*y**3 + 0*y + 54. Factor x(f).
f*(f - 1)**3*(f + 1)/4
Let s(t) be the first derivative of -t**3 - 39*t**2/2 - 108*t - 1303. Let s(f) = 0. Calculate f.
-9, -4
Let w(u) = 548*u - 11505. Let x be w(21). Find n such that -10 + 10*n**x + 95/3*n - 100/3*n**2 + 10/3*n**4 - 5/3*n**5 = 0.
-3, 1, 2
Suppose -96 - 1184*w**5 + 2382*w**5 + 52*w + 520*w**2 + 512*w**3 - 1186*w**5 + 152*w**4 = 0. What is w?
-8, -3, -1, 1/3
Let x(r) = -25*r**4 - 3160*r**3 + 3151*r**2 + 17*r. Let i(m) = 3*m**4 + 395*m**3 - 394*m**2 - 2*m. Let n(h) = 51*i(h) + 6*x(h). Factor n(t).
3*t**2*(t - 1)*(t + 396)
Let q = 453 + -421. Let w be 16/14*(520/q + -10). Let 20/7*b - 2/7*b**2 - w = 0. Calculate b.
5
Suppose 3*t + r = 32, -4*r + 87 - 29 = 5*t. Suppose 4*l + 2*z - 80 = 50, 5*l = z + 166. Factor 150*f - 7*f**2 + t*f**2 + 2*f**3 - 250 - l*f**2.
2*(f - 5)**3
Let o(i) = -10*i**2 - 139*i - 253. Let p = 614 + -611. Let l(d) = 8*d**2 + 138*d + 254. Let c(t) = p*l(t) + 2*o(t). Factor c(b).
4*(b + 2)*(b + 32)
Let w(k) = -2*k + 0*k + 7*k**2 - 3*k - 2*k**2. Let o(q) = -9*q**2 + 9*q. Let l be 0 + (1*12)/(-4)*-1. Let b(f) = l*o(f) + 5*w(f). Factor b(t).
-2*t*(t - 1)
Let w(n) be the first derivative of -2*n**6/3 - 93*n**5 - 584*n**4 - 185*n**3 - 4746. Determine o, given that w(o) = 0.
-111, -5, -1/4, 0
Factor 1920 - 69*f**3 + 3*f**4 + 1670*f**2 - 1112*f**2 + 0*f**4 - 1824*f.
3*(f - 8)**2*(f - 5)*(f - 2)
Let s(c) be the second derivative of c**4/78 + 37*c**3/39 + 48*c + 24. Suppose s(m) = 0. What is m?
-37, 0
What is o in -15 + 60818*o + 4*o**3 + 18*o**2 - 60822*o - 2*o**4 - 1 = 0?
-2, -1, 1, 4
Let n(q) be the first derivative of 0*q + 124 + 8/11*q**2 + 2/33*q**3. Factor n(x).
2*x*(x + 8)/11
Let r(l) = 41*l**2 - 587*l - 588. Let y(d) = -236*d**2 + 3521*d + 3527. Let a(o) = 23*r(o) + 4*y(o). Find j, given that a(j) = 0.
-1, 584
Let n(b) be the second derivative of b**7/2100 - 7*b**6/600 + 3*b**5/50 + 13*b**4/3 + 4*b. Let x(z) be the third derivative of n(z). Factor x(q).
6*(q - 6)*(q - 1)/5
Suppose 2*v - 16 = 46. Suppose -3 = 28*q - v*q. Factor 3 - 2*i**2 - 14*i + 12*i**2 - q + 2.
2*(i - 1)*(5*i - 2)
Factor 252*i + 362 - 2*i**3 + 34*i**2 + 4*i**3 + 2*i**3 - 3*i**3 - 1010.
(i - 2)*(i + 18)**2
Let u(p) = -17*p**3 - 1292*p**2 - 5083*p - 5036. Let v(m) = -15*m**3 - 1290*m**2 - 5082*m - 5040. Let l(r) = 6*u(r) - 7*v(r). What is z in l(z) = 0?
-422, -2
Solve 2175/4*p**3 - 9/2 + 2145/4*p + 3975/4*p**2 + 363/4*p**4 = 0.
-3, -2, -1, 1/121
Let b(o) be the third derivative of -o**7/42 + 5*o**6/6 - 25*o**5/3 + 170*o**2 + 4*o. Factor b(l).
-5*l**2*(l - 10)**2
Let m(h) be the third derivative of 1/24*h**4 - 10*h**2 + 0*h**3 + 1/180*h**5 + 0*h - 1. Determine o, given that m(o) = 0.
-3, 0
Let h(t) = -10*t**2 - 17*t**4 + 9*t**4 + 8*t**3 + 18*t**4 - 6*t**5. Let g(n) = -n**5 + n**4 + 2*n**3 - n**2. Let s(c) = -2*g(c) + h(c). What is j in s(j) = 0?
-1, 0, 1, 2
Let p = 629/1631 + 10/233. Factor -6/7*z**2 + p*z - 3/7*z**3 + 6/7.
-3*(z - 1)*(z + 1)*(z + 2)/7
Factor -10/3*v**3 + 0 - 2/3*v**2 + 10/3*v + 2/3*v**4.
2*v*(v - 5)*(v - 1)*(v + 1)/3
Let g = 91661 + -91659. Determine b, given that 16/3*b**g + 0 - 140/3*b**3 + 16/3*b = 0.
-2/7, 0, 2/5
What is j in -15*j + 427*j + 98 - 202 + 1204 + 4*j**3 + 128*j + 84*j**2 = 0?
-11, -5
Let f(y) = 2*y**2 + 49*y + 574. Let v be (-8)/(-20) + (-49)/35. Let r(o) = o**2 + o - 2. Let l(d) = v*f(d) + r(d). Factor l(h).
-(h + 24)**2
Let 137/4*t**2 + 11/2*t**3 - 75 + 1/4*t**4 + 35*t = 0. Calculate t.
-10, -3, 1
Let z(f) = f**5 - f**3 - f**2 + f + 1. Let q(g) = 2*g + 33 + 40 - 3*g**2 - g**3 + 38 - 108 + 2*g**5. Let k(u) = -q(u) + 3*z(u). Determine j so that k(j) = 0.
-1, 0, 1
Determine k so that 20*k**3 + 8*k**2 - 67*k**5 + 71*k**5 + 16*k**4 + 0*k**4 = 0.
-2, -1, 0
Let q(g) be the first derivative of 121*g**4/28 + 6116*g**3/21 + 3309*g**2/14 + 450*g/7 + 8234. Find h, given that q(h) = 0.
-50, -3/11
Let -2/15*n**5 + 0 + 10*n**2 + 58/15*n**4 - 206/15*n**3 + 0*n = 0. What is n?
0, 1, 3, 25
Let n = -86811/8 + 86817/8. What is y in 1/4*y**4 - 1/2*y + 0*y**3 + 0 - n*y**2 = 0?
-1, 0, 2
Let g be (48 - -2) + (-69299)/1587. Solve -121*x - 55/3*x**2 - 1/3*x**4 + 0 + g*x**3 = 0 for x.
-3, 0, 11
Suppose 5*z - 2 = 3*t, -8*z + 9*z + 14 = 3*t. Let r(u) = -11*u**2 + u + 106. Let x(o) = 12*o**2 - 2*o - 107. Let a(d) = t*x(d) + 7*r(d). Solve a(c) = 0 for c.
-5, 4
Let t(y) be the second derivative of -5*y**7/189 - 4*y**6/45 - y**5/10 - y**4/27 + 573*y. Solve t(x) = 0 for x.
-1, -2/5, 0
Let k(w) be the second derivative of -1/21*w**4 - 1 + 6/7*w**2 + 3*w + 4/21*w**3. Factor k(u).
-4*(u - 3)*(u + 1)/7
Let q(t) be the second derivative of t**4/72 - 31*t**3/12 - 110*t. Suppose q(i) = 0. What is i?
0, 93
Let v(b) = 33*b**3 + 54413*b**2 + 46348915*b + 17. Let c(s) = -8*s**3 - 13604*s**2 - 11587228*s - 4. Let z(d) = -17*c(d) - 4*v(d). Factor z(a).
4*a*(a + 1702)**2
Let h be (-288)/(-50)*(635/762)/(2/18). Let -4/5*a**4 + 324/5*a + 108/5*a**2 + h - 4/5*a**3 = 0. Calculate a.
-3, -1, 6
Determine y so that -18/11*y**2 - 322/11*y - 780/