/84*s**7 + 0*s**5 + 1/12*s**4 + 10*s - 1/12*s**3 + 0 - 1/30*s**6 + 0*s**2. Factor g(i).
i*(i - 1)**3*(i + 1)/2
Let g(d) be the third derivative of -d**5/180 - d**4/6 - 10*d**3/9 + 3*d**2 + 4*d. Let g(v) = 0. What is v?
-10, -2
Let l be (0 - 2)*(-18)/216. Let q(h) be the second derivative of 0 + 3*h**2 + 4/3*h**3 - 2*h + l*h**4. Let q(m) = 0. What is m?
-3, -1
Let t = -109304/105 - -1041. Let r(m) be the third derivative of 1/30*m**5 + 0*m**6 + 0 + 0*m**3 - 1/24*m**4 - t*m**7 + 3*m**2 + 0*m + 1/336*m**8. Factor r(c).
c*(c - 1)**3*(c + 1)
Let b = 23179/7 - 3311. Factor -8/7*r**2 + b*r**3 - 4/7 + 10/7*r.
2*(r - 2)*(r - 1)**2/7
Let g be (1408/(-112) - -13) + (-19)/77. Determine j so that 2/11*j**2 + 0 + g*j = 0.
-1, 0
Let a(u) be the second derivative of -4*u**2 + 10/3*u**3 - 3/2*u**4 + 7/20*u**5 + 17*u + 0 - 1/30*u**6. Factor a(k).
-(k - 2)**3*(k - 1)
Let i(k) = -k - 16. Let t be i(-18). Suppose -8*v + 6*v = 0. Determine d so that v*d - 5/2*d**4 + 0 - t*d**2 + 8*d**3 - 25/2*d**5 = 0.
-1, 0, 2/5
Factor 21/2*p**4 + 15/2*p**2 + 0 + 3/2*p**5 + 0*p + 33/2*p**3.
3*p**2*(p + 1)**2*(p + 5)/2
Let v(b) be the first derivative of -8/39*b**3 - 22/65*b**5 + 1/13*b**6 + 0*b + 18 + 6/13*b**4 + 0*b**2. Find l, given that v(l) = 0.
0, 2/3, 1, 2
Suppose 2*y = -4*j - 28 + 100, 4*y = 0. Let w be 7/21 - ((-15)/j + 1). Factor -1/2*f**2 + 1/2*f + 1/6*f**3 - w.
(f - 1)**3/6
Let a(k) be the first derivative of -k**6/900 - k**5/300 + k**4/10 + 11*k**3 - 12. Let j(s) be the third derivative of a(s). Factor j(t).
-2*(t - 2)*(t + 3)/5
Let h = -56 + 138. Let f = h - 82. Factor 0*r - 1/4*r**3 + f + 1/4*r**5 + 1/4*r**4 - 1/4*r**2.
r**2*(r - 1)*(r + 1)**2/4
Let 0 + 0*o + 7/6*o**3 - 5/6*o**4 - 1/3*o**2 = 0. Calculate o.
0, 2/5, 1
Suppose -5*w = 5*b - 50, 5*b = 109*w - 113*w + 47. Factor -2/9*u**w - 2/9*u**2 + 2/9*u + 2/9.
-2*(u - 1)*(u + 1)**2/9
Let d be 16/3 + 2/(-6). Let w(k) be the first derivative of 0*k + d - 1/21*k**3 - 1/35*k**5 + 1/14*k**4 + 0*k**2. Factor w(f).
-f**2*(f - 1)**2/7
Let h be (8/(-18))/(2/(-9)). Factor -2*b**4 - 24*b**3 - 5 + 7*b**4 + 4*b**5 - 56*b**h - b**4 - 44*b - 7.
4*(b - 3)*(b + 1)**4
Let s(o) = -o**2 + 4*o + 2. Let a be s(3). Let 39*h + 2*h**3 - 29*h - 162*h**3 + 30*h**4 + 75*h**2 + 50*h**4 - a = 0. Calculate h.
-1/4, 1/4, 1
Let x(w) = w + 1. Let f(t) be the first derivative of 4*t**3/3 + 2*t**2 - 15. Let b(l) = -f(l) + 4*x(l). Find m, given that b(m) = 0.
-1, 1
Let m(o) be the third derivative of -o**6/120 + 13*o**5/60 - 2*o**4 + 6*o**3 + 705*o**2. Factor m(f).
-(f - 6)**2*(f - 1)
Suppose 0 = 3*z - 7*z. Let g = 593/4 - 148. Factor 0*d**4 + z - 1/4*d**3 + 0*d**2 + 0*d + g*d**5.
d**3*(d - 1)*(d + 1)/4
Solve 2888*h**4 + 4*h**3 - 2885*h**4 - 37*h**3 = 0 for h.
0, 11
Suppose 3*f = -3*g + 5*g + 17, 27 = 5*f - 2*g. Suppose 0 = -f*j + 7 + 3. Let 7*m + 0*m**2 - 3*m - m**2 + 5*m**j = 0. What is m?
-1, 0
Suppose 33872 - 33938 = -22*p. Suppose -2/11*w + 2/11*w**p - 2/11*w**4 + 2/11*w**2 + 0 = 0. Calculate w.
-1, 0, 1
Solve 4/3 + 4/9*w**2 - 16/9*w = 0.
1, 3
Suppose -1/3*x**5 - 28/3*x**2 - 4*x - 23/3*x**3 + 0 - 8/3*x**4 = 0. What is x?
-3, -2, -1, 0
Let r be (13/(-65))/(117/(-520)). Solve -2/9*m**2 + 0 + r*m = 0.
0, 4
Let s(q) be the second derivative of -q**6/90 - q**5/20 - q**4/36 + q**3/6 + q**2/3 + 296*q. Factor s(z).
-(z - 1)*(z + 1)**2*(z + 2)/3
Factor 2/5*s + 1/5*s**3 + 0 + 3/5*s**2.
s*(s + 1)*(s + 2)/5
Let y(q) be the first derivative of 1/6*q + 0*q**2 - 1/18*q**3 + 2. Factor y(x).
-(x - 1)*(x + 1)/6
Let i be ((-187)/(-33) + -4)*(-54)/(-60). Factor 0 - 3/2*d - i*d**2.
-3*d*(d + 1)/2
Let o be 0 - 2/(2 + -3). Let t = 40557/2 - 20238. Factor 27*s**o + 3/2*s**4 + 12*s**3 + 0*s - t.
3*(s - 1)*(s + 3)**3/2
Let l(s) = -s**2 - 13*s - 32. Let h be l(-10). Let q(f) = -6*f**2 - 100*f + 489. Let y(p) = p**2 + 20*p - 98. Let z(a) = h*q(a) - 11*y(a). Factor z(x).
(x - 10)**2
Let g(r) = -3*r**2 - 43*r - 7. Let f(p) = -p**2 - 12*p - 31. Let n be f(-9). Let c(m) = m**2 + 21*m + 4. Let x(o) = n*g(o) - 7*c(o). Factor x(u).
5*u*(u + 5)
Let i(v) be the second derivative of 2*v**7/21 + 2*v**6/5 - v**5/5 - 7*v**4/3 + 8*v**2 + 63*v. Suppose i(d) = 0. Calculate d.
-2, -1, 1
Suppose -11/2*s**2 + 5*s + 4 + s**3 = 0. Calculate s.
-1/2, 2, 4
Let z(b) be the second derivative of -2*b**6/135 + 2*b**5/15 - 8*b**4/27 - 15*b - 4. Let z(k) = 0. Calculate k.
0, 2, 4
What is y in -338/7 - 52/7*y - 2/7*y**2 = 0?
-13
Let g(n) = 2*n**3 - 13*n**2 + 6*n. Let j be g(6). Let u(t) be the first derivative of j*t - t**3 + 4 + 0*t**2 - 3/4*t**4. Factor u(p).
-3*p**2*(p + 1)
Suppose 81 = 3*q - 24. Suppose -37*x**3 + 0*x**2 + q*x**3 + 2*x**2 + 4*x + 6 + 6*x = 0. Calculate x.
-1, 3
Let y be (-82)/(10/(-15)*1). Factor y*m - 126*m + 2*m**2 + 6*m**3 - 3*m**5 - 2*m**2.
-3*m*(m - 1)**2*(m + 1)**2
Factor 50 - 25/2*n**2 - 5/2*n**3 + 10*n.
-5*(n - 2)*(n + 2)*(n + 5)/2
Let b(n) be the third derivative of -n**8/5040 + n**7/1260 + n**5/60 - n**2. Let t(c) be the third derivative of b(c). Let t(h) = 0. What is h?
0, 1
Let -9*n**4 + 24*n + 3/2*n**3 + 0 + 3/2*n**5 + 36*n**2 = 0. Calculate n.
-1, 0, 4
Let s(o) = o**3 - 17*o**2 - 47*o + 173. Let m be s(19). Find i, given that 2/3 + 1/3*i**m + i = 0.
-2, -1
Let w = 2039/8820 - 45/196. Let q(o) be the third derivative of 0*o + 0*o**3 + 0 - 6*o**2 - 1/360*o**6 + 1/72*o**4 - 1/180*o**5 + w*o**7. Factor q(h).
h*(h - 1)**2*(h + 1)/3
Let i = -35286 + 105868/3. What is a in -i*a**2 - 14/3*a**3 + 4*a + 10/3*a**4 + 2/3*a**5 + 0 = 0?
-6, -1, 0, 1
Factor 1 - 5*r**2 + 43 + 4 + 40*r - 3.
-5*(r - 9)*(r + 1)
Let c(y) be the first derivative of y**3/15 + y**2 + 5*y - 534. Factor c(p).
(p + 5)**2/5
Factor -4*p**3 - 101 - 84*p**2 - 3 - 212*p - 28*p**2.
-4*(p + 1)**2*(p + 26)
Suppose 0 = d + 2*d + 21. Let m = -3 - d. Factor -4 + 6 + m*j - 64*j**2 + 58*j**2.
-2*(j - 1)*(3*j + 1)
Determine f so that -36*f + 4*f**2 + 2 - 4*f**2 + 38 - 4*f**2 = 0.
-10, 1
Let x(t) be the second derivative of -t**7/5040 - t**6/1080 - t**5/720 + t**3/6 + 7*t. Let c(p) be the second derivative of x(p). Solve c(d) = 0.
-1, 0
Suppose -20 = -5*h + 5*l, 4*h - 16 = 3*l - 2. Suppose -3*s = h*s - 10. Determine j so that -12*j + 3 - 17*j**3 + 86*j**s + 5*j**3 + 3*j**4 - 68*j**2 = 0.
1
Let g(y) be the first derivative of -y**2/2 + 12*y - 5. Let u be g(12). Suppose u*m**3 + m + 2*m - 3*m**3 = 0. Calculate m.
-1, 0, 1
Suppose -2*f = -4*q + 8, 9*f - 6 = 10*f - 3*q. Let n(v) be the second derivative of 0*v**2 - 3/2*v**4 + 2/3*v**3 + f + v + 7/10*v**5. Factor n(g).
2*g*(g - 1)*(7*g - 2)
Suppose 0*d - 46 = -23*d. Let s(b) be the second derivative of -8*b + 1/3*b**3 + 0 + 1/6*b**4 + 0*b**d. Factor s(k).
2*k*(k + 1)
Let n = -9 - -14. Suppose 0*x + 2*v = n*x - 31, v = -3. Factor 0*s**5 - s**5 + 6*s**x - 2*s**5 - 12*s**3 + 9*s - 6*s**2 + 6.
3*(s - 2)*(s - 1)*(s + 1)**3
Let k be (2/6)/((-2)/(-24)). Suppose -4*w + 3 = -k*m - 17, 0 = 5*w - 3*m - 15. Factor 2/5*r + w - 6/5*r**2 - 2/5*r**4 + 6/5*r**3.
-2*r*(r - 1)**3/5
Let i = -59 + 58. Let h be (i/(-6))/((-55)/(-66)). Factor -27/5*w + 9/5*w**2 + 27/5 - h*w**3.
-(w - 3)**3/5
Let s(l) be the second derivative of 13*l + 3/17*l**2 - 4/51*l**3 + 1/102*l**4 + 0. Factor s(r).
2*(r - 3)*(r - 1)/17
Let s(n) = 21*n**3 + 68*n**2 + 150*n + 81. Let m(a) = -4*a**3 - 14*a**2 - 30*a - 16. Let w(g) = -11*m(g) - 2*s(g). Factor w(d).
2*(d + 1)**2*(d + 7)
Let j(y) be the second derivative of y**4/16 + 53*y**3/8 - 81*y**2/4 + 467*y - 1. Solve j(c) = 0.
-54, 1
Let d = -2/14441 + 43331/57764. Find l such that 0 + 3/8*l**2 + d*l = 0.
-2, 0
Let l(p) be the third derivative of 0*p**3 + 0*p + 2*p**2 + 0 - 5/12*p**4 + 1/12*p**5. Factor l(v).
5*v*(v - 2)
Let o(a) = a**3 + 4*a**2 - 5*a + 2. Suppose 2*t + 10 + 10 = 5*x, 0 = -4*t - x - 18. Let g be o(t). Factor -5*l**g + 3*l**5 - 2*l**2 + 6*l**4 + 4*l + l**2 - 7*l.
3*l*(l - 1)*(l + 1)**3
Suppose 2*i + 14 = 4, 4*c = 4*i + 528. Let j = c + -70. Find m such that 3*m**4 - 15*m**3 + j*m**2 - 7*m**3 + 4*m**3 + 12 - 18*m**2 - 36*m = 0.
1, 2
Let 4/5*c**2 - 16/5*c - 4 = 0. What is c?
-1, 5
Let g = -204 - -206. Find y, given that 4/3*y**4 - 4*y**g + 16/3*y + 16/3 - 8/3*y**3 = 0.
-1, 2
Let n(t) be the first derivative of -t**8/840 - t**7/210 - t**6/180 + 28*t**3/3 - 10. Let w(s) be the third derivative of n(s). Factor w(r).
-2*r**2*(r + 1)**2
Let z(w) = -w**3 - w**2 - 4*w. Le