 421*n**4/6 + 1404*n**3/5 + 2*n**2 - 2*n - 214. Solve c(t) = 0.
-2106, 1
Factor -477*z**2 + 260*z**2 + 192 + 218*z**2 + 52*z.
(z + 4)*(z + 48)
Let l(o) = -2*o**2 - 19*o. Let s be l(-5). Determine p so that -19793*p**2 + 39*p + 21*p + 19693*p**2 + s*p**3 - 5*p**4 = 0.
0, 1, 2, 6
Let f(b) be the second derivative of -47/18*b**6 + 5/18*b**7 - 2 - 110*b + 7/3*b**5 + 0*b**3 + 0*b**2 + 5/3*b**4. Solve f(h) = 0 for h.
-2/7, 0, 1, 6
Suppose 1/3*j**5 + 4/3*j**4 - 4/3*j + 0 + j**3 - 4/3*j**2 = 0. What is j?
-2, -1, 0, 1
Let k(a) = a**2 + 5*a - 3. Let f be k(-6). Factor -18/7 - 143/7*b - 40*b**2 + 16/7*b**f.
(b - 18)*(4*b + 1)**2/7
Factor 65/2*d**2 + 185/6*d**3 + 5/3*d + 0.
5*d*(d + 1)*(37*d + 2)/6
Suppose -2*v = 19*v + 30744. Let d = -1461 - v. What is x in -1/2*x**4 - d*x**3 + 0 - 6*x**2 - 4*x = 0?
-2, 0
Let y(l) = -l**4 - 44*l**3 - 52*l**2 + 49*l + 58. Let f(w) = 2*w**4 + 44*w**3 + 52*w**2 - 50*w - 60. Let k(h) = 5*f(h) + 6*y(h). Factor k(m).
4*(m - 12)*(m - 1)*(m + 1)**2
Let n(w) be the first derivative of w**4/2 + 962*w**3/3 + 959*w**2 + 958*w - 2582. Factor n(l).
2*(l + 1)**2*(l + 479)
Suppose 25 = 14*l - 48 + 3. Let b(i) be the second derivative of 3/8*i**2 + 0 + 2*i - 21/160*i**l + 7/16*i**3 - 1/16*i**4. Let b(q) = 0. What is q?
-1, -2/7, 1
Find b such that 4/9*b**3 - 8/9*b**2 - 224/9*b + 256/3 = 0.
-8, 4, 6
Let b = 616705/1850133 + 2/616711. Determine t, given that -2/3*t**2 + 0 + 1/3*t**3 + b*t = 0.
0, 1
Let v(c) = -c**4 - 90*c**3 + 165*c**2 - 86*c - 18. Let s(z) = -10*z**4 - 990*z**3 + 1815*z**2 - 945*z - 195. Let p(l) = -6*s(l) + 65*v(l). Factor p(j).
-5*j*(j - 16)*(j - 1)**2
Factor -68*g - 1591*g**3 + 1635*g**3 + 4*g**4 - 16*g**2 - 108*g.
4*g*(g - 2)*(g + 2)*(g + 11)
Let k = 1011/1046 - 1987/3138. Solve 5/3*s**2 + 0 - 1/3*s**4 + s + k*s**3 = 0.
-1, 0, 3
Let z(u) = 12*u**2 - 24*u + 44. Let x(g) = g**2 + g - 2. Let q(j) = -8*x(j) + z(j). Factor q(c).
4*(c - 5)*(c - 3)
Solve -181202/3 - 602/3*r - 1/6*r**2 = 0 for r.
-602
Let j be 9/12*328/410. Let s = 127/95 - 14/19. Factor -s*g**5 + 0*g + j*g**2 - 3/5*g**4 + 0 + 3/5*g**3.
-3*g**2*(g - 1)*(g + 1)**2/5
Let p = -40 - -12. Let b(y) = 9 + 4 - y**2 + 0 + 15*y. Let v(a) = -8*a**2 + 136*a + 116. Let z(x) = p*b(x) + 3*v(x). Factor z(f).
4*(f - 4)*(f + 1)
Let l(a) = -19*a**3 - 14*a**2 + 135*a + 394. Let d(r) = 55*r**3 + 41*r**2 - 405*r - 1180. Let p(i) = 8*d(i) + 23*l(i). Determine t so that p(t) = 0.
-6, -3, 7
Let g(y) be the first derivative of -y**6/3 + 136*y**5/5 - 1155*y**4/2 - 136*y**3/3 + 1156*y**2 + 9817. Suppose g(l) = 0. Calculate l.
-1, 0, 1, 34
Factor -48925*v**4 + 24*v**3 + 43*v**2 - v**2 + 24*v + 2*v**2 + 48929*v**4.
4*v*(v + 1)*(v + 2)*(v + 3)
Let m(t) be the first derivative of -3/5*t**3 - 1/5*t + 1/5*t**4 + 42 + 3/5*t**2. Find u, given that m(u) = 0.
1/4, 1
Determine o, given that 2028 - 34*o + 222*o**2 - 1370*o + 21*o**2 = 0.
26/9
Let j = -583 - -586. Factor -5*c**j - 5*c**2 - 66713 + 66713 + 10*c.
-5*c*(c - 1)*(c + 2)
Factor -51*q**2 - 186 - 30*q**2 + 84*q**2 + 87*q.
3*(q - 2)*(q + 31)
Let t(n) be the first derivative of 0*n**2 + 2/15*n**3 - 1/15*n**4 + n - 15. Let y(q) be the first derivative of t(q). Solve y(c) = 0 for c.
0, 1
Let c(z) be the second derivative of 0*z**2 + 5/3*z**3 + 14*z + 0 + 0*z**4 + 1/60*z**5 + 1/180*z**6. Let h(p) be the second derivative of c(p). Factor h(s).
2*s*(s + 1)
Let l(t) be the second derivative of -19 - 1/10*t**5 - 2*t + 7/54*t**4 + 1/27*t**6 - 1/189*t**7 + 0*t**2 - 2/27*t**3. Solve l(m) = 0.
0, 1, 2
Let s = 5906768/3 + -1968916. Suppose 16/3*a**2 + 0 + 2/3*a**4 + 0*a - s*a**3 + 2/3*a**5 = 0. Calculate a.
-4, 0, 1, 2
Let z(s) = 2*s - 11. Let u be z(7). Suppose -7*f + u + 18 = 0. Factor 6*x + x**3 + 6*x**4 - 15*x**2 - 13*x**3 + f*x**4.
3*x*(x - 2)*(x + 1)*(3*x - 1)
Let g(z) = -6*z + 165. Let y be g(27). Factor 701*l**4 + 25*l**y - 696*l**4 + 0*l**2 - 30*l**2.
5*l**2*(l - 1)*(l + 6)
Factor -35*a + 5*a**2 - 246 - 43*a - 359 + 78*a.
5*(a - 11)*(a + 11)
Suppose -6 = 99*u - 101*u. Let n(g) be the second derivative of -1/114*g**4 + 0*g**2 - 14*g + 1/57*g**u + 0. Factor n(s).
-2*s*(s - 1)/19
Let r(g) be the first derivative of 0*g + 7/30*g**6 + 26/15*g**5 + 5*g**2 - 16/3*g**3 + 32 + 10/3*g**4. Let f(l) be the second derivative of r(l). Factor f(y).
4*(y + 2)**2*(7*y - 2)
Factor 404 + 416*i + 100*i**2 + 388 + 316*i + 114*i**2 + 6*i**3 + 19*i**3 + i**4.
(i + 2)*(i + 6)**2*(i + 11)
Let t(v) be the second derivative of -5/126*v**7 + 22*v - 7/90*v**6 + 0 + 0*v**2 - 5/36*v**4 - 1/3*v**3 + 23/60*v**5. Suppose t(q) = 0. What is q?
-3, -2/5, 0, 1
Let n = -3221/3876290 - -1/14795. Let a = 2613/9170 - n. Factor -2/7*c**4 + 4/7 + 6/7*c**2 + 10/7*c - a*c**3.
-2*(c - 2)*(c + 1)**3/7
Let h be (-10)/4*(-12)/10. Let y be ((-4)/4 - -3) + 0/2. Factor -12*i + 7*i**h + 56*i**2 + 6*i**4 + 30*i + 31*i**3 + 10*i**y.
2*i*(i + 3)**2*(3*i + 1)
Let h(f) be the third derivative of f**6/280 + 43*f**5/70 + 220*f**4/7 - 1936*f**3/7 + 934*f**2. Factor h(b).
3*(b - 2)*(b + 44)**2/7
Let g = -16310 + 16310. Let a(z) be the second derivative of -29*z + g - 25/6*z**3 + 10*z**2 + 5/12*z**4. Factor a(j).
5*(j - 4)*(j - 1)
Let g(f) be the second derivative of -f**4/4 + 45*f**3/2 + 1131*f**2 - 1390*f. Factor g(b).
-3*(b - 58)*(b + 13)
Suppose -w - 4*z + 27 = -2, -2*z + 8 = 0. Let d(s) be the first derivative of w + 0*s - 4/15*s**3 + 0*s**2 - 8/25*s**5 + 9/10*s**4. Let d(r) = 0. Calculate r.
0, 1/4, 2
Let k be 4/16 - (-1 - (-1)/4). Let d(l) = -l**3 - l**2 + l. Let t(x) = 5*x**4 - 11*x**3 + 10*x**2 - 3*x. Let s(m) = k*t(m) + d(m). Factor s(v).
v*(v - 1)**2*(5*v - 2)
Let r(a) be the first derivative of -a**6/14 + 69*a**5/35 + 159*a**4/14 + 58*a**3/7 - 45*a**2/2 - 243*a/7 - 1381. Determine x so that r(x) = 0.
-3, -1, 1, 27
Let g(v) be the third derivative of -v**6/150 + 68*v**5/75 - 185*v**4/6 - 5476*v**3/5 + 2254*v**2. Factor g(n).
-4*(n - 37)**2*(n + 6)/5
Let a(i) = 153*i + 12546. Let r be a(-82). Let q(c) be the third derivative of -4/3*c**3 + 0*c - 1/15*c**5 - 1/2*c**4 + r - c**2. Solve q(x) = 0 for x.
-2, -1
Suppose 0 = -3*f + 33 + 15. Suppose -49 = -3*i - f. Determine n, given that -20*n**2 + i*n**2 + 11*n**2 = 0.
0
Suppose 2*p = -3*q + 16, 13*p = 4*q + 17*p - 28. Solve 6*j**3 + 0 - 3/2*j**5 + 3*j**4 - 3*j**q - 9/2*j = 0.
-1, 0, 1, 3
Let m(v) be the third derivative of v**6/24 - 163*v**5/4 + 1625*v**4/8 - 2435*v**3/6 - 1335*v**2. Suppose m(g) = 0. What is g?
1, 487
Let i(w) = -5*w**2 + 17*w - 4. Let n be i(3). Factor 28*k**n - 7 + 18*k**3 + 13*k**3 - 3*k + 88*k - k**4 - 21 - 115*k**2.
-(k - 28)*(k - 1)**3
Let j(d) be the second derivative of d**7/504 - d**6/72 - d**5/3 + d**4/6 - 7*d**3/2 + 289*d. Let v(r) be the third derivative of j(r). Factor v(o).
5*(o - 4)*(o + 2)
Let c = 20804099/85 + -244750. Let k = c + -63/17. Solve -k*g**3 - 48/5*g - 18/5*g**2 - 32/5 = 0 for g.
-4, -1
Let -480/13*u**2 - 2/13*u**4 + 928/13*u - 608/13 + 88/13*u**3 = 0. Calculate u.
2, 38
Let f(v) be the third derivative of v**6/60 - v**5/3 - 25*v**4/4 - 137*v**2 - v + 7. Factor f(j).
2*j*(j - 15)*(j + 5)
Let a = -326918 - -326922. What is z in 18/5 + 6/5*z - 4/5*z**3 - 2/5*z**5 + 2*z**a - 28/5*z**2 = 0?
-1, 1, 3
Determine a, given that -780/11 + 2/11*a**2 - 778/11*a = 0.
-1, 390
Let g(b) be the first derivative of -2/9*b**3 + 62 + 5/3*b**2 - 4*b. Factor g(n).
-2*(n - 3)*(n - 2)/3
Let j = -25/10754 + 5427/21508. Factor -1/4*c**5 + 3/4*c - 1/2*c**2 - j - 1/2*c**3 + 3/4*c**4.
-(c - 1)**4*(c + 1)/4
Let 0 - 188/9*f**3 - 1408/3*f**2 + 1024*f - 2/9*f**4 = 0. Calculate f.
-48, 0, 2
Suppose 9*a - 25*a = -64. Suppose -23*n - a*n = 0. Factor -4/3*d**3 + 0 - 2*d**2 - 2/9*d**4 + n*d.
-2*d**2*(d + 3)**2/9
Let w(u) be the third derivative of -u**7/42 + 3*u**6/8 + 38*u**5/3 - 285*u**4/2 + 1760*u**3/3 - 16*u**2 - 35. Let w(t) = 0. What is t?
-11, 2, 16
Factor 2/13*l**3 + 0 - 36/13*l**2 - 38/13*l.
2*l*(l - 19)*(l + 1)/13
Let s(u) be the second derivative of 0 + 0*u**2 - 8/135*u**6 - 1/3*u**4 + 7/30*u**5 + 1/189*u**7 - 79*u + 0*u**3. Factor s(m).
2*m**2*(m - 3)**2*(m - 2)/9
Let x be 3 - ((-139707)/(-95))/(-57). Determine d so that -24/5*d - x - 1/5*d**2 = 0.
-12
Factor -26 - 34 - 38*f + 50*f**2 - 5*f**5 - 50*f**4 - 177*f**2 - 180*f**3 - 177*f - 163*f**2.
-5*(f + 1)**3*(f + 3)*(f + 4)
Let s(v) be the first derivative of -v**4/2 + 34*v**3 