*(h + 1)**2/5
Let q(l) be the third derivative of 5*l**8/336 + 3*l**7/7 + 63*l**6/32 + 137*l**5/48 + 25*l**4/16 + 15*l**2 + 12*l. Solve q(g) = 0.
-15, -2, -1/2, 0
Let q(j) be the second derivative of 2*j**6/15 - 12*j**5/5 - 376*j. Let q(z) = 0. Calculate z.
0, 12
Let k(x) be the second derivative of x**8/4480 - x**7/3360 - x**6/480 + x**5/160 + x**4/12 + 11*x. Let l(y) be the third derivative of k(y). Factor l(m).
3*(m - 1)*(m + 1)*(2*m - 1)/4
Let b be -8*(-5 + 1)*(-14)/(-56). Let d(u) be the third derivative of 0*u + 1/1050*u**7 + 0*u**3 + 0 + 0*u**4 + b*u**2 + 1/150*u**6 + 1/75*u**5. Factor d(a).
a**2*(a + 2)**2/5
Let p(n) = -31*n**3 + 70*n**2 + 107*n + 9. Let q(k) = 61*k**3 - 142*k**2 - 213*k - 17. Let i(h) = 7*p(h) + 3*q(h). Let i(j) = 0. Calculate j.
-1, -2/17, 3
Let t(j) = j**3 + 16*j**2 + 14*j - 15. Let x be t(-15). Suppose 4*k - 3*y - 23 = x, -2*y - 14 = -4*k + 4. Factor 2*v - v**2 - k*v**2 - v**2 - 6*v + 8.
-4*(v - 1)*(v + 2)
Let u(k) be the second derivative of -k**7/126 + k**6/30 - k**5/20 + k**4/36 - 2*k + 6. Factor u(m).
-m**2*(m - 1)**3/3
Let m(u) = 0*u**2 + 0 - 2*u - 6 - 3*u**3 + 0 + u**2. Let h(z) = -2*z**3 - z - 3. Let f(j) = 5*h(j) - 3*m(j). Suppose f(c) = 0. Calculate c.
-3, -1, 1
Suppose 2 = x - 3*k + 4, -2*x + k = 9. Let a be -1*2 - (-2 + x). Factor 9 + 7*t**2 - 2*t**2 - 19 - a*t.
5*(t - 2)*(t + 1)
Let y = 37 + -34. Let -5*b + 5*b**2 - 16 + y + 13 = 0. Calculate b.
0, 1
Suppose 30*n**2 + 45*n**4 + 9/2*n + 129/2*n**3 + 0 = 0. Calculate n.
-3/5, -1/2, -1/3, 0
Factor -2/3*y + 0 + 1/3*y**2 + 1/3*y**3.
y*(y - 1)*(y + 2)/3
Let m be -7*(-1 - (-12)/21). Suppose m*p**3 - 7*p**2 + p**2 + 6*p**2 - 3*p**2 = 0. Calculate p.
0, 1
Let n(m) = -43*m**3 - 115*m**2 - 45*m - 13. Let o(s) = 22*s**3 + 58*s**2 + 22*s + 6. Let c(h) = -6*n(h) - 13*o(h). Suppose c(i) = 0. What is i?
-2, -2/7, 0
Let -17*c**2 + 22*c**3 + 5*c**2 - 12*c**4 + c**5 - 3*c**5 + 4*c**5 = 0. Calculate c.
0, 1, 2, 3
What is s in 291*s - 48*s**2 - 300*s - 26*s**2 - 648 - 329*s - 2*s**3 - 382*s = 0?
-18, -1
Let a(n) be the third derivative of 11*n**8/588 - 29*n**7/735 - n**6/70 + 11*n**5/210 + n**4/42 - 150*n**2. Find d, given that a(d) = 0.
-1/2, -2/11, 0, 1
Find v such that 198*v**4 + 12*v - 25*v**3 - 47*v**3 - 183*v**4 + 45*v**2 = 0.
-1/5, 0, 1, 4
Factor 120/7*u**3 + 0*u**2 + 0 + 0*u - 4/7*u**4.
-4*u**3*(u - 30)/7
Let n = 499/840 + -23/105. Suppose 3/4 - 3/8*m**3 - 3/4*m**2 + n*m = 0. What is m?
-2, -1, 1
Let h be ((6/(-10))/(18/(-20)))/((-65)/(-195)). Determine y, given that 0 - 3/8*y**3 + 3/8*y**h + 0*y = 0.
0, 1
Let q = -1513 + 5941/4. Let j = q - -113/4. Factor 0 + 0*h + h**2 - 1/2*h**3 - j*h**4.
-h**2*(h - 1)*(h + 2)/2
What is u in 4/5*u + 0 + 68/5*u**3 + 6*u**2 + 42/5*u**4 = 0?
-1, -1/3, -2/7, 0
Factor 8*a**2 + 36*a + 1 + 15 - 28*a**2 + 10*a**2.
-2*(a - 4)*(5*a + 2)
Let t(r) be the first derivative of -r**8/1176 + r**7/105 - 2*r**6/105 - 8*r**5/105 + 6*r**2 + 1. Let d(b) be the second derivative of t(b). Factor d(a).
-2*a**2*(a - 4)**2*(a + 1)/7
Let l(i) = i**2 - 4*i - 1. Let w be l(5). Let r(n) = n**3 + 4*n**2 - 4*n - 7. Let m be r(-2). Factor -8 + 28*j**w - 20*j**2 - 16*j**3 + 52*j**3 - 45*j + m*j.
4*(j - 1)*(j + 1)**2*(7*j + 2)
Let b(d) be the second derivative of -d**7/420 + d**6/144 + 7*d**5/240 - d**4/24 - 17*d**3/6 - 38*d. Let t(y) be the second derivative of b(y). Factor t(h).
-(h - 2)*(h + 1)*(4*h - 1)/2
Suppose -173 = -2*l - 3*q, -l - 337 = -5*l - 3*q. Suppose 0 = 3*o - l - 2. Solve 28 - o - 5*k**3 + 5*k**4 - 10*k**2 = 0 for k.
-1, 0, 2
Let r = 27810 + -139046/5. Solve 3/5 - r*z + 1/5*z**2 = 0.
1, 3
Let i(g) be the third derivative of g**6/150 - 14*g**5/75 + 41*g**4/30 + 112*g**3/15 + 91*g**2. What is d in i(d) = 0?
-1, 7, 8
Let l(a) be the third derivative of -11/8*a**4 + 0*a + 11/40*a**6 + 0 - 13/20*a**5 - a**3 + 3/14*a**7 - 29*a**2. Determine j so that l(j) = 0.
-1, -2/5, -1/3, 1
Let z(g) = -g**3 - 61*g**2 + 315*g - 987. Let v be z(-66). Factor 2/9 + 2/9*f**v - 2/9*f - 2/9*f**2.
2*(f - 1)**2*(f + 1)/9
Suppose y - 4*j = -j, 3*j - 12 = 0. Suppose -y = -3*c - 6. Find f such that -c*f + 0*f**5 + 2*f**4 - f**5 + 3*f**3 + f**2 - 3*f**4 = 0.
-2, -1, 0, 1
Let t = -32 - -35. Determine h, given that 24*h**3 - t + 4*h**2 - 3*h - h**2 - 21*h**3 = 0.
-1, 1
Suppose 0 = 2*w + 6*j - j - 33, 3*j + 57 = 2*w. Factor -27*c - 65*c + 16*c - 12 - w*c**2.
-4*(c + 3)*(6*c + 1)
Let t(k) be the first derivative of k**4/4 + 2*k**3 + 5*k**2/2 - 537. Suppose t(w) = 0. Calculate w.
-5, -1, 0
Let c = 3 - 7/3. Let g(s) be the first derivative of -1 - c*s - 2/9*s**3 + 2/3*s**2. Factor g(n).
-2*(n - 1)**2/3
Let d = -9 - -13. Let y = 48 + -43. Factor 3*k**y - 3*k**4 - 4*k + d*k**2 + 10*k - 9*k**3 - k**2.
3*k*(k - 2)*(k - 1)*(k + 1)**2
Let k = 2513 - 2513. Factor 14/9*y**3 + 0 - 10/9*y**4 - 4/9*y**2 + k*y.
-2*y**2*(y - 1)*(5*y - 2)/9
Let h(t) = 4*t**5 - t**4 - 15*t**3 + 12*t**2 - 5. Let o(l) = 6*l**5 - 2*l**4 - 22*l**3 + 18*l**2 - 8. Let g(y) = -8*h(y) + 5*o(y). Solve g(x) = 0 for x.
-3, 0, 1
Suppose -4*w + 2*k = -348, -3*k - 433 = -5*w - 0*k. Factor 9*y**3 + 46*y + 3*y**4 + 9*y**2 - w*y + 46*y.
3*y*(y + 1)**3
Suppose 3*n + 13*n = 80. Let 0*o**3 - 12*o - 2*o**3 - 8*o**2 - o**2 + n*o**3 = 0. Calculate o.
-1, 0, 4
Let i(m) be the third derivative of -m**6/960 - m**5/30 - 29*m**4/192 - 7*m**3/24 - 653*m**2. Factor i(o).
-(o + 1)**2*(o + 14)/8
Let i = -1051 - -1055. Solve 2/7*l**5 - 20/7*l**i - 120/7*l**2 + 72/7*l + 74/7*l**3 + 0 = 0 for l.
0, 2, 3
Let m be ((-188)/36 + 5)*(-3)/8. Let l(b) be the second derivative of -m*b**4 + 0 + 0*b**2 + 6*b + 0*b**3. Determine o so that l(o) = 0.
0
Let k(t) be the first derivative of 0*t**4 - 1/100*t**5 + 0*t + 1/600*t**6 - 5 + 2/15*t**3 - 5/2*t**2. Let i(y) be the second derivative of k(y). Factor i(q).
(q - 2)**2*(q + 1)/5
Let r be 60/10242*336/(-9). Let l = 2/569 - r. Let -l*w - 2/9*w**3 + 0 - 4/9*w**2 = 0. What is w?
-1, 0
Let o(c) be the first derivative of -2*c**6/5 - 3*c**5/20 + c**4 + c**3/2 - 4*c + 11. Let f(i) be the first derivative of o(i). Factor f(n).
-3*n*(n - 1)*(n + 1)*(4*n + 1)
Suppose -136 - 80 = -4*k. Let -6*a**2 + 6*a + 56 + k - 112 + 2*a**3 = 0. Calculate a.
1
Let y(u) be the first derivative of u**5/5 - 9*u**4/4 + 17*u**3/3 + 9*u**2/2 - 18*u + 197. What is x in y(x) = 0?
-1, 1, 3, 6
Let m be ((-15)/(-9)*-1 + 3)*6. Factor 0*p + m + 15*p - 3 + 15*p**2 + 5*p**3.
5*(p + 1)**3
Suppose 0 = 2*o + 3*q + 15, 0 = -2*o + q + 5. Suppose -4*t + 3*x - 15 = o, 15 = -2*t - 3*x + 6*x. Factor 0*v + 2/5*v**3 + t + 6/5*v**2.
2*v**2*(v + 3)/5
Let h(v) be the first derivative of -1/2*v**3 - 3/4*v - 3/32*v**4 - 15/16*v**2 + 26. Find d such that h(d) = 0.
-2, -1
Let v(k) be the second derivative of -k**5/10 + k**4/6 + 10*k**3/3 + 8*k**2 - 190*k. Let v(u) = 0. Calculate u.
-2, -1, 4
Let j be -18 - -14 - -1*1. Let f(u) = u**3 + u**2 - u - 1. Let d(g) = -2*g**3 - 12*g**2 - 18*g - 8. Let v(c) = j*f(c) + d(c). Let v(l) = 0. Calculate l.
-1
Let r(v) be the second derivative of v**4/30 - 2*v**3/15 - 3*v**2 - 158*v. Factor r(x).
2*(x - 5)*(x + 3)/5
Let y(z) be the third derivative of z**5/390 + 7*z**4/156 - 64*z**2. Factor y(c).
2*c*(c + 7)/13
Let a(m) = -m**3 + 3*m**2 - m + 3. Let q be a(3). Let t(r) be the second derivative of q - 3*r**3 + 2*r**2 - 4*r + 2/3*r**4. Factor t(k).
2*(k - 2)*(4*k - 1)
Factor 3 - t + 6*t + 0*t + 209*t**2 + 4*t + 3*t**3 - 200*t**2.
3*(t + 1)**3
Let o be 1*(-100)/(-4) + -4. Suppose 0 = 4*s - x - o, 0 = s - 5*s + 3*x + 23. Factor 13*c + c + s*c**3 - 7*c + 13*c + 25*c**2.
5*c*(c + 1)*(c + 4)
Let p(c) be the second derivative of c**6/10 - 3*c**5/5 + c**4 - c + 89. Let p(r) = 0. Calculate r.
0, 2
Let j(u) be the third derivative of 0*u + 7/10*u**5 + 0 - 24*u**2 + 2/3*u**3 + 23/12*u**4. Factor j(a).
2*(a + 1)*(21*a + 2)
Factor 0*o**4 - 2*o + 0 - 4*o**3 + 16/3*o**2 + 2/3*o**5.
2*o*(o - 1)**3*(o + 3)/3
Let k(n) be the first derivative of -6*n**3 - 3/2*n**2 - 27/4*n**4 - 18 + 0*n - 12/5*n**5. Let k(g) = 0. Calculate g.
-1, -1/4, 0
Suppose -2*u - 2*u = -3*n + 38, 3*n - 28 = 2*u. Determine m, given that 11*m**3 + 11*m - n*m**3 - 16*m = 0.
-1, 0, 1
Determine h so that 61/4*h**2 - 2 - 15/4*h**3 - 1/2*h = 0.
-1/3, 2/5, 4
Let d = -96 - -98. Suppose -a**2 + 0*a**d + 2 - 19*a + 20*a = 0. What is a?
-1, 2
Factor 8/9*m**3 + 8/3*m + 10/3*m**2 - 8/9.
2*(m 