 -4/3*j + y + 2/9*j**2.
2*(j - 3)**2/9
Let o(z) = -z**3 + 4*z**2 + 5*z. Suppose 0 = -5*i - 0*i + 20. Let m(f) = -f**3 + 3*f**2 + 4*f. Let t(q) = i*m(q) - 3*o(q). Factor t(b).
-b*(b - 1)*(b + 1)
Let x = 427 - 1270/3. Let g = x - 3. Factor 2/3*h**2 - 4/3 - g*h.
2*(h - 2)*(h + 1)/3
Let r(g) be the first derivative of g**6/90 - g**4/6 + 4*g**3/3 - 20. Let l(q) be the third derivative of r(q). Find k such that l(k) = 0.
-1, 1
Suppose 27 + 7*c**2 - 40 + 199 - 4*c**2 + 99*c = 0. Calculate c.
-31, -2
Let v = 42 + -40. Let p be 24/(-20) - (v + -1)*-3. Suppose 3/5 - p*d**2 + 0*d + 6/5*d**3 = 0. What is d?
-1/2, 1
Factor 90 + 141*b**2 - 119*b**2 + 3*b**3 - 78*b - 5*b**3.
-2*(b - 5)*(b - 3)**2
Let n(p) be the third derivative of 16*p**7/1155 + 2*p**6/165 - 47*p**5/330 - 19*p**4/44 - 6*p**3/11 - 48*p**2. Solve n(j) = 0.
-1, -3/4, 2
Let c = -76 + 79. Let w(x) be the first derivative of -10/9*x**c + 2/3*x**4 - 5 + 0*x - 2/15*x**5 + 2/3*x**2. What is s in w(s) = 0?
0, 1, 2
Factor -40/3 + 7/3*w**3 + 10*w**2 - 1/3*w**4 + 4/3*w.
-(w - 10)*(w - 1)*(w + 2)**2/3
Let z(h) be the second derivative of h**7/8820 + h**6/315 + h**5/60 - 29*h**4/12 + 14*h. Let b(s) be the third derivative of z(s). Factor b(m).
2*(m + 1)*(m + 7)/7
Let q(p) be the first derivative of -p**5/12 + 5*p**4/6 + 25*p**3/6 - p**2/2 - p + 47. Let b(j) be the second derivative of q(j). Solve b(c) = 0 for c.
-1, 5
Factor 2/7*i**4 - 24/7*i**2 + 36/7*i - 4/7*i**3 + 54/7.
2*(i - 3)**2*(i + 1)*(i + 3)/7
Let l(i) = 4*i**3 + 1634*i**2 + 221950*i + 10061822. Let h(t) = t**2 - t - 1. Let j(s) = 2*h(s) - l(s). Determine v so that j(v) = 0.
-136
What is r in 58*r + 2/3*r**3 - 18 - 110/9*r**2 = 0?
1/3, 9
Let v = -2081 + 2081. Solve -4/3*f**5 + 0*f**2 + 4/3*f**3 + 0*f**4 + 0 + v*f = 0 for f.
-1, 0, 1
Let n(y) be the second derivative of -3*y**5/20 - 33*y**4 - 2904*y**3 - 127776*y**2 - 145*y + 2. Factor n(o).
-3*(o + 44)**3
Determine p, given that -3/5*p**3 + 0 - 432/5*p - 72/5*p**2 = 0.
-12, 0
Let a(h) = 15*h + 169. Let k be a(-11). Let o(j) be the second derivative of -1/48*j**k - 1/2*j**2 - 1/6*j**3 + 0 - 6*j. Find y, given that o(y) = 0.
-2
Let a be 71/210*-3 - (0 + -1). Let d = 3/14 + a. Solve -2/5*x**4 + d + 1/5*x**2 + 3/5*x - 3/5*x**3 = 0.
-1, -1/2, 1
Let c = 61/4 - 29/2. Factor 3/2*o + 3/4*o**2 + c.
3*(o + 1)**2/4
Let x(p) be the third derivative of 0*p - 8/3*p**3 + 4/15*p**5 + 0 + 1/6*p**4 + 39*p**2 - 1/30*p**6. Let x(a) = 0. Calculate a.
-1, 1, 4
Let t(p) be the second derivative of p**4/3 - 34*p**3/3 + 120*p**2 - 12*p + 6. Suppose t(n) = 0. Calculate n.
5, 12
Determine d so that 24/5*d**4 + 312/5*d + 144/5 + 114/5*d**3 + 268/5*d**2 + 2/5*d**5 = 0.
-3, -2
Let b(s) = -2*s**2 + 2*s + 10. Let c(o) = -o**2 + o + 4. Let k(q) = -4*b(q) + 10*c(q). Factor k(u).
-2*u*(u - 1)
Let f(q) = -q**3 + 4*q**2 - 4*q + 3. Let y be f(2). Let k = y + -1. Let 3*a**3 - 8*a**2 + a**2 + 4*a**k = 0. What is a?
0, 1
Let z(a) be the first derivative of -a**6/180 + a**4/12 - 2*a**3/9 - 6*a**2 - 13. Let d(r) be the second derivative of z(r). Let d(f) = 0. What is f?
-2, 1
Let z(y) be the third derivative of y**5/150 - 4*y**4/3 + 320*y**3/3 - 146*y**2. Factor z(a).
2*(a - 40)**2/5
Determine g so that -44486 - 104*g**2 + 4*g**3 + 676*g + 44486 = 0.
0, 13
Let p(v) be the first derivative of -3/28*v**4 + 3/14*v**2 + 12 + 1/7*v**3 - 3/35*v**5 + 0*v. Factor p(k).
-3*k*(k - 1)*(k + 1)**2/7
Let w(z) be the second derivative of -z**7/42 - z**6/30 + 3*z**5/10 + z**4/3 - 4*z**3/3 - 2*z - 178. Determine q, given that w(q) = 0.
-2, 0, 1, 2
Let w(b) = -11*b**3 + 19*b**2 - 89*b - 14. Let f(j) = 8*j**3 - 13*j**2 + 59*j + 10. Let i(c) = -7*f(c) - 5*w(c). Factor i(o).
-o*(o - 4)*(o + 8)
Let z(y) be the first derivative of -y**8/4200 + y**7/2100 - 19*y**3/3 + 7. Let x(g) be the third derivative of z(g). Factor x(a).
-2*a**3*(a - 1)/5
Let x(w) be the second derivative of 38*w**3 + 0 + 361/4*w**4 + 6*w**2 - 20*w. Let x(h) = 0. What is h?
-2/19
Let r(z) = -7*z + 12. Let s(n) = -6*n + 12. Let m(k) = -5*r(k) + 6*s(k). Let a be m(10). Solve -7*b**2 - 8 - 2 - 15*b + a*b**2 = 0 for b.
-2, -1
Factor 1/6*p + 11/6 - 11/6*p**2 - 1/6*p**3.
-(p - 1)*(p + 1)*(p + 11)/6
Let p be 4270/(-42)*2/5. Let m = 41 + p. Determine h so that -5/3*h**2 - m - 2*h = 0.
-1, -1/5
Suppose r = -5*w - 9 + 27, 2*w - 21 = -5*r. Solve 7*c**3 - 6*c - c**3 - w + 578*c**4 - 575*c**4 = 0 for c.
-1, 1
Let m(f) be the second derivative of -3*f**5/100 + 6*f**4/5 - 13*f**3/2 + 63*f**2/5 - 7*f - 12. Factor m(z).
-3*(z - 21)*(z - 2)*(z - 1)/5
Let c be (2 + 2)*((-25)/(-10) + -2). Find t, given that -9 - 12150*t**c - 46875*t**4 + 58125*t**3 - 15 + 904*t - 17*t + 37*t = 0.
2/25, 1
Let a(b) be the third derivative of b**6/180 + b**5/30 + 8*b**2 + 1. Solve a(p) = 0.
-3, 0
Suppose -i + 3*p + 498 = 0, -4*i + 2*p = p - 2025. Factor -156*z**3 + 221*z - 12*z**2 - i*z**4 - 221*z.
-3*z**2*(13*z + 2)**2
Let r(u) be the first derivative of 15*u**4/4 - 6*u**3 + 3*u**2/2 + 141. Solve r(i) = 0.
0, 1/5, 1
Suppose -5*g - 64 = -3*r - 236, 0 = 3*g + r - 92. Factor 0 + 40*h - 12 + g - 105*h**2.
-5*(3*h - 2)*(7*h + 2)
Let w be (-3)/(-3) + (10 - 9). Let u(a) be the first derivative of 1/6*a**3 - 5 - 1/4*a**w + 0*a. Suppose u(r) = 0. What is r?
0, 1
Suppose -7*p**3 - 478*p**2 + 14 + 23*p + 481*p**2 - 2*p**4 + p**4 = 0. What is p?
-7, -1, 2
Find v such that 0 - 2/3*v**2 + 20/3*v = 0.
0, 10
Factor 10/3*v + 1/6*v**5 + 11/2*v**3 + 22/3*v**2 + 0 + 5/3*v**4.
v*(v + 1)*(v + 2)**2*(v + 5)/6
Let b(s) be the second derivative of s**7/3360 - s**6/480 + s**4/24 + 17*s**3/3 + s**2/2 + 15*s. Let u(j) be the second derivative of b(j). Factor u(n).
(n - 2)**2*(n + 1)/4
Let b(g) be the second derivative of 1/15*g**6 + 0*g**3 + 1/35*g**7 + 1/50*g**5 - 1/30*g**4 + 0 - 10*g + 0*g**2. Factor b(q).
2*q**2*(q + 1)**2*(3*q - 1)/5
Let c(b) be the first derivative of -10*b**3 + 65/2*b**2 - 10*b + 20. Factor c(s).
-5*(s - 2)*(6*s - 1)
Let a(u) be the first derivative of -u**5/10 + 6*u**4 - 137*u**3/6 + 45*u**2/2 - 373. Suppose a(n) = 0. What is n?
0, 1, 2, 45
Suppose 1 = -2*i + 5. Let z(o) be the third derivative of -1/30*o**5 + 1/12*o**4 + i*o**2 + 0 + 0*o + 0*o**3. Factor z(h).
-2*h*(h - 1)
Let p(d) be the second derivative of -d**7/3360 - d**6/160 - d**5/20 - d**4/6 - d**3/6 - 3*d. Let b(x) be the second derivative of p(x). Factor b(f).
-(f + 1)*(f + 4)**2/4
Let i(d) be the second derivative of -1/27*d**3 + 0*d**2 - 1/27*d**4 + 0 + 57*d. Factor i(m).
-2*m*(2*m + 1)/9
Factor -9/4*y**3 - 6*y + 0 - 1/4*y**4 - 13/2*y**2.
-y*(y + 2)*(y + 3)*(y + 4)/4
Let f = 2735 + -2735. Factor 12/5*n + f - 9/5*n**2.
-3*n*(3*n - 4)/5
Let w(b) = -b**3 + 4*b**2 - 2*b + 2. Let l = -1 - -4. Let t be w(l). Factor -t*y - 3*y + y**2 + 1 + 10*y.
(y + 1)**2
Let o(x) be the third derivative of x**7/105 + 7*x**6/15 + 37*x**5/5 + 91*x**4/3 + 169*x**3/3 - 186*x**2. Factor o(t).
2*(t + 1)**2*(t + 13)**2
Suppose -21/4*g**2 - 3/4*g**3 + 6*g**4 - 3*g**5 + 15/4*g - 3/4 = 0. What is g?
-1, 1/2, 1
Suppose l + 3*p + 14 = 2, 3*l = -5*p - 16. Factor 2*g**l - 11/2*g - 7*g**2 + 8*g**4 + 7/2*g**5 - 1.
(g - 1)*(g + 1)**3*(7*g + 2)/2
Factor 6*l + 64*l**3 - 256 - 51*l - 19*l + 252*l**2 + 4*l**4.
4*(l - 1)*(l + 1)*(l + 8)**2
Let h(g) be the second derivative of -g**6/6 - g**5/2 + 10*g**4/3 + 15*g**3 + 45*g**2/2 - 52*g + 4. Let h(s) = 0. Calculate s.
-3, -1, 3
Let x(s) be the first derivative of -58 + 0*s - 1/2*s**4 + s**2 + 0*s**3. Find n such that x(n) = 0.
-1, 0, 1
Suppose -16*j + 11*j + 10 = 0. Factor -16*s - 22*s - 3*s**j + 26*s + 15.
-3*(s - 1)*(s + 5)
Let f(s) be the first derivative of -4 - 1/3*s**2 - 1/18*s**4 - 8/27*s**3 + 0*s. Suppose f(v) = 0. What is v?
-3, -1, 0
Let s(o) be the second derivative of -1/36*o**4 + 0 + 1/18*o**3 - 11*o + 0*o**2. Factor s(h).
-h*(h - 1)/3
Suppose 25 = 37*d - 32*d. Factor -117*m**3 - 3*m**4 + m**d + 242*m**3 - 123*m**3.
m**3*(m - 2)*(m - 1)
Let l(a) = 4*a**2 - 4*a. Let u(r) = -r**3 + r**2 + 2*r. Let i(k) = -l(k) - 2*u(k). Factor i(n).
2*n**2*(n - 3)
Let b be 3/(30/(-4)) + 37/80. Let t(a) be the first derivative of 0*a - b*a**4 + 1 - 1/12*a**3 + 0*a**2 + 1/24*a**6 + 1/20*a**5. Factor t(n).
n**2*(n - 1)*(n + 1)**2/4
Let 152*x**3 + 2*x**5 + 196 - 430*x**4 + 802*x**4 - 154*x - 404*x**4 - 164*x**2 = 0. What is x?
-1, 1, 2, 7
Let a = 12024/42133 - -2/6019. Fac