 81 + 3*v**3 + 58*v**2 + 19 - 16 - 25*v**2.
3*(v + 2)**2*(v + 7)
Solve -24*x**2 - 61*x - 65/2 + 1/2*x**4 + 5*x**3 = 0.
-13, -1, 5
Let r(j) = 5*j**4 + 142*j**3 + 349*j**2 + 4*j - 4. Let d(m) = -5*m**4 - 145*m**3 - 350*m**2 - 5*m + 5. Let b(l) = 4*d(l) + 5*r(l). Factor b(a).
5*a**2*(a + 3)*(a + 23)
Suppose -7*v**2 - v**2 - 182 + 3*v**2 - 817*v + 13*v**2 + v**2 = 0. What is v?
-2/9, 91
Let q(o) be the second derivative of 0 - 91*o - 1/18*o**4 + 0*o**3 + 1/3*o**2. Suppose q(z) = 0. What is z?
-1, 1
Let g = -6672 + 6685. Let f(b) be the second derivative of 1/12*b**3 + 1/36*b**4 - 1/6*b**2 + 0 + g*b - 1/30*b**5 + 0*b**6 + 1/252*b**7. Factor f(u).
(u - 1)**3*(u + 1)*(u + 2)/6
Determine k, given that -148/5*k**2 + 36 - 138/5*k - 32/5*k**4 + 136/5*k**3 + 2/5*k**5 = 0.
-1, 1, 3, 10
Let v = -1/343 + 351/2744. Let i be (-43)/(-24) + (140/15 - 11). Find h such that v*h - 1/4*h**3 + 0 + 0*h**4 + 0*h**2 + i*h**5 = 0.
-1, 0, 1
Let f = 16508 - 16508. Let d(s) be the first derivative of f*s**5 - 3*s**3 + 0*s - 2/3*s**6 + 11/4*s**4 + 8 + s**2. Suppose d(w) = 0. What is w?
-2, 0, 1/2, 1
Let b(g) be the first derivative of -g**4/2 + 76*g**3 + 115*g**2 + 3312. Let b(q) = 0. Calculate q.
-1, 0, 115
Suppose -y = -51*a + 48*a + 19, -11*a + 61 = -3*y. Factor -57/5*b**a + 6/5*b**3 - 33/5 - 96/5*b.
3*(b - 11)*(b + 1)*(2*b + 1)/5
Let f = 588 + -697. Let h = -323/3 - f. Find k such that -h - 2/9*k + 2/9*k**2 = 0.
-2, 3
Let c = 8 + -3. Suppose -5*y - 118*w = -122*w - 8, 2*y - w = 5. Factor 0*r**2 - 8*r**y - 10*r**3 + 6*r**5 - 8*r**c - 4*r**2.
-2*r**2*(r + 1)**2*(r + 2)
Let i(v) be the first derivative of 1/6*v**6 + 1/5*v**5 + v - 1/2*v**4 + 1/2*v**2 - 2/3*v**3 + 164. Factor i(h).
(h - 1)**2*(h + 1)**3
Suppose 0 = 31*i - 38*i - 21*i - 44*i. Suppose -5/6*q**2 - 2/3*q - 1/6*q**3 + i = 0. What is q?
-4, -1, 0
Let l = -9085 + 9090. Let r(k) be the second derivative of 10*k**2 - 1/4*k**l + 25/12*k**4 + 26*k + 0 - 20/3*k**3. Factor r(h).
-5*(h - 2)**2*(h - 1)
Let a(w) = -3*w**3 + 185*w**2 + 62*w - 90. Let u be a(62). Let i be (-2)/32 + (-29)/(4640/u). Factor 0 + 1/6*o**2 - i*o.
o*(o - 3)/6
Let r(b) = b**3 + 7*b**2 + 14*b + 13. Let d be r(-4). Suppose -5*y - 20 = -y, d*y + 33 = 4*z. Factor -28/17*g - 2/17*g**4 + 10/17 - 4/17*g**3 + 24/17*g**z.
-2*(g - 1)**3*(g + 5)/17
Let p(s) be the first derivative of 2*s**5/25 + 3*s**4 + 192*s**3/5 + 864*s**2/5 + 7335. Suppose p(o) = 0. What is o?
-12, -6, 0
Suppose 0 = -0*q - 5*q + 225. Let j(a) = -2*a**3 + 9*a**2 + 114*a - 24. Let f be j(10). Factor -9*u**3 - f*u**3 - q*u**2 - 35*u - 10 - 352*u**4 + 347*u**4.
-5*(u + 1)**3*(u + 2)
Let q be -5*((-4836)/(-195))/(-31). Solve 0*x + 0*x**3 + 2/7*x**q + 0*x**2 + 0 = 0.
0
Let u be (8/(-20))/((-2)/(-210)). Let t = 48 + u. Factor 9*c**2 + 25*c**3 - 5*c**4 - t*c**2 + 20 + 2*c**2 - 5*c**5 - 40*c.
-5*(c - 1)**3*(c + 2)**2
Let q(d) be the second derivative of 14*d - 9/7*d**2 - 1/42*d**4 - 3 + 2/7*d**3. Factor q(r).
-2*(r - 3)**2/7
Let x(c) = -c**2 - 4973*c - 401060. Let l be x(-82). Determine u, given that 124*u + 2/3*u**l + 5766 = 0.
-93
Let d(o) be the first derivative of -75 + 35*o + 15*o**3 + 5/4*o**4 + 75/2*o**2. Factor d(f).
5*(f + 1)**2*(f + 7)
Factor 1/3*h**3 + 3/2*h + 0 + 3/2*h**2.
h*(h + 3)*(2*h + 3)/6
Let h(w) be the first derivative of 7*w**6/12 - 31*w**5/10 + 33*w**4/8 - 3*w**3/2 + 945. Determine m, given that h(m) = 0.
0, 3/7, 1, 3
Let t(k) be the third derivative of 5/2*k**4 - 4/7*k**7 - 4 + 5/3*k**6 - 4/3*k**3 + 0*k + 1/12*k**8 - 8/3*k**5 - 3*k**2. Suppose t(f) = 0. Calculate f.
2/7, 1
Let 984150 + 21870*y + 162*y**2 + 2/5*y**3 = 0. Calculate y.
-135
Let v be (-3 + 6/1)*12/9. Let s be v/(4/2 - (2 + -1)). Suppose 7*q**3 - 7*q**3 + 6*q**3 - 5*q + s*q**3 - 5*q**5 = 0. Calculate q.
-1, 0, 1
Let w(b) = -20*b**2 + 2265*b - 2798. Let a be w(112). Factor -2/17*m**3 - 338/17*m - 52/17*m**a + 0.
-2*m*(m + 13)**2/17
Let z = -159469/71 + 2246. Let c = z - -305/497. Let -8/7 + 4/7*l + c*l**2 = 0. What is l?
-2, 1
Let y(l) = -l**2 + 63*l + 178. Let f(n) = 2*n**2 - 63*n - 177. Let z(c) = 2*f(c) + 3*y(c). Factor z(q).
(q + 3)*(q + 60)
Let f(i) be the second derivative of 5/2*i**2 + i**3 + 1/12*i**4 + 0 + 88*i. Suppose f(h) = 0. What is h?
-5, -1
Let x(h) be the second derivative of -h**6/10 - 21*h**5/20 + 49*h**4/4 + 343*h**3/2 - 1706*h - 1. What is a in x(a) = 0?
-7, 0, 7
Let n(o) be the second derivative of -o**4/84 + 239*o**3/7 - 514089*o**2/14 - 13*o + 21. Let n(l) = 0. Calculate l.
717
Let b(f) be the second derivative of 225*f**6/7 - 1620*f**5/7 - 555*f**4/7 - 32*f**3/3 - 5*f**2/7 + 2*f + 745. Factor b(n).
2*(n - 5)*(15*n + 1)**3/7
Let v = -37915 + 37917. Let p(r) be the first derivative of -2/27*r**3 - 1/3*r**v + 26 - 4/9*r. Factor p(y).
-2*(y + 1)*(y + 2)/9
Let y = 18823/14115 - 1/4705. Let d(g) be the third derivative of 0*g + y*g**3 + 0 + 7/2*g**4 + 19/15*g**5 + g**2. Solve d(p) = 0 for p.
-1, -2/19
Let j(x) be the third derivative of -19*x**7/735 + 2*x**6/21 + 53*x**5/210 - x**4/14 + 9*x**2 + 123. Let j(y) = 0. What is y?
-1, 0, 2/19, 3
Let x(r) be the third derivative of -r**5/240 - 521*r**4/96 + 2*r**2 + 283. Factor x(g).
-g*(g + 521)/4
Let k(v) be the second derivative of -v**7/630 - 17*v**6/1260 - v**5/21 + 83*v**4/12 + 73*v. Let b(o) be the third derivative of k(o). What is f in b(f) = 0?
-10/7, -1
Let b(v) be the second derivative of -9 + 1/10*v**5 - 1/4*v**4 + 1/30*v**6 - 2*v**2 - 4/3*v**3 + 7*v. Factor b(q).
(q - 2)*(q + 1)**2*(q + 2)
Let r(g) be the first derivative of 3/2*g**4 + 22/9*g**3 + 0*g + 2/15*g**5 - 1/9*g**6 + 4/3*g**2 + 8. Determine d so that r(d) = 0.
-1, 0, 4
Suppose -43*c - 4*q - 772 = -45*c, 0 = -2*c - 5*q + 817. Let g be 4/(c/1309) - 11. Factor 2/9*a**4 + 2/3 + g*a + 8/3*a**2 + 4/3*a**3.
2*(a + 1)**3*(a + 3)/9
Let w = 1389 + -12427/9. Let f = w - 61/18. Factor -f*l**4 - 3/2*l**5 - 11/2*l**3 - 1/3*l + 0 - 5/2*l**2.
-l*(l + 1)**3*(9*l + 2)/6
Let z(l) be the third derivative of l**7/1680 + 3*l**6/64 + 11*l**5/10 + 121*l**4/48 - 24*l**2 - 5*l. Factor z(b).
b*(b + 1)*(b + 22)**2/8
Let x be -3 + 10 + 1 - (-6 + 12 + 2). Let j(u) be the second derivative of -1/108*u**4 + 0*u**2 + x - 24*u - 1/18*u**3. Factor j(a).
-a*(a + 3)/9
Let f(u) be the second derivative of u**6/10 + 123*u**5/20 - 273*u**4/4 + 423*u**3/2 - 2199*u. Factor f(t).
3*t*(t - 3)**2*(t + 47)
Let n(v) be the second derivative of -v**7/273 + 214*v**6/39 - 285153*v**5/130 - 286760*v**4/39 - 287296*v**3/39 - 4209*v. Suppose n(u) = 0. What is u?
-1, 0, 536
Let v(z) be the first derivative of z**9/756 - z**8/210 - z**7/210 + z**6/45 - 2*z**3/3 + 2*z**2 + 69. Let x(h) be the third derivative of v(h). Solve x(w) = 0.
-1, 0, 1, 2
Factor -269*g**2 - 4722 - 5*g**2 + 271*g**2 + 2367*g.
-3*(g - 787)*(g - 2)
Let f(r) be the third derivative of r**5/4 - 80*r**4/3 - 440*r**3/3 + 238*r**2 - 5*r. Solve f(o) = 0.
-4/3, 44
Let d(c) be the first derivative of -361*c**4/22 + 988*c**3/33 + 420*c**2/11 + 144*c/11 + 2104. Factor d(b).
-2*(b - 2)*(19*b + 6)**2/11
Suppose 8*f - 451 = 19*f. Let u be 6/7*f/(-123). Let 2/7 - u*y**3 - 6/7*y + 6/7*y**2 = 0. Calculate y.
1
Suppose 0*x = g + 3*x, 0 = 5*g - 5*x. Let z = -6/871 - -3526/6097. Solve -1/7*h**5 + g - 5/7*h**3 + 0*h - z*h**4 - 2/7*h**2 = 0.
-2, -1, 0
Let p(d) = 89*d**2 - d. Let v(w) = 90*w**2 + 28*w - 132. Let i(h) = -3*p(h) + 3*v(h). Let i(a) = 0. What is a?
-33, 4
Suppose -4*g = -3*g - 8. Suppose g*d = 13 + 11. Factor r**3 + 3*r**2 + d*r**4 - 3*r**3 + 8*r**3.
3*r**2*(r + 1)**2
Let k(l) be the third derivative of l**5/75 - 22*l**4/15 + 136*l**3/3 - 2423*l**2. Factor k(f).
4*(f - 34)*(f - 10)/5
Let w(q) = -q**2 - 2*q - 147. Let u be w(-29). Let g be (u/(-35))/6 + (-12)/28. Solve 3*s**g + 9/7*s**5 + 9/7 - 30/7*s**2 - 30/7*s**3 + 3*s = 0.
-3, -1, -1/3, 1
Let g(s) = -s**3 + 15*s - 8. Let i be g(-8). Let j = -2670/7 + i. Factor -6/7*x**2 - j*x + 10/7*x**3 + 0 - 2/7*x**4.
-2*x*(x - 3)**2*(x + 1)/7
Suppose -1/6*m**2 + 39 - 115/6*m = 0. Calculate m.
-117, 2
Let x = -49 + 48. Let w be (0 + x)/(-2) + 6/4. Factor 1932*r**w + 4*r**3 + 27*r**4 + 17*r**3 - 1938*r**2.
3*r**2*(r + 1)*(9*r - 2)
Factor -348/5 + 226/5*h + 24*h**2 + 2/5*h**3.
2*(h - 1)*(h + 3)*(h + 58)/5
Let y(v) be the first derivative of v**4 + 40*v**3/3 - 50*v**2 - 1000*v - 2609. What is u in y(u) = 0?
-10, -5, 5
Let f(j) = j**3 -