 - 3/7*i**2 + 6/7*i**3 + 3/7*i**4.
3*i*(i - 1)*(i + 1)*(i + 2)/7
Let h be 1376/4515 + 8/84. Factor 352/5*d + 28/5*d**4 + h*d**5 + 128/5 + 344/5*d**2 + 146/5*d**3.
2*(d + 1)**2*(d + 4)**3/5
Let f(x) be the first derivative of 3*x**4/4 - 2*x**3 + 3*x**2/2 + 32. Factor f(q).
3*q*(q - 1)**2
Factor -2*p**3 - 13/2*p**2 - 11/2*p - 1.
-(p + 1)*(p + 2)*(4*p + 1)/2
Let p(g) be the third derivative of g**8/1176 - 19*g**7/735 + 33*g**6/140 - 27*g**5/70 + 2*g**2. Factor p(m).
2*m**2*(m - 9)**2*(m - 1)/7
Let p(x) = -31*x - 12. Let f be p(-10). Determine h, given that 307*h + 32 + 734*h**2 + 29*h - 1764*h**4 + 364*h**3 + f*h**2 = 0.
-2/7, -2/9, 1
Let o be 19/9 - (-43)/(-387). Let r be (1/(-4))/((-2)/12). Factor 1 + r*a**o - 7/2*a.
(a - 2)*(3*a - 1)/2
Let g = 10 + 0. Find k, given that -3*k**3 + 0*k**5 + 8*k + k**5 + k**4 - g*k - 5*k**2 = 0.
-1, 0, 2
Suppose 5*j - 3*y - 97 + 7 = 0, 3*y = -j. Let l(p) = -p**3 - 18*p**2 + 12 - 1 + 27*p**2 - j*p. Let q(f) = f**2 - f + 1. Let m(d) = l(d) - 3*q(d). Factor m(t).
-(t - 2)**3
Determine g so that 40*g**4 + 96*g**3 + 20*g - 4*g**5 - 21 + 8*g**2 - 112*g - 27 = 0.
-1, 1, 12
Factor 0 + 2/7*t**2 - 78/7*t.
2*t*(t - 39)/7
Let y(m) be the second derivative of 21*m**5/4 + 745*m**4/12 - 385*m**3/3 - 40*m**2 + 31*m. Factor y(a).
5*(a - 1)*(a + 8)*(21*a + 2)
Solve v**5 + 0*v - 47*v**4 + 16356*v**3 - 16356*v**3 + 0*v = 0.
0, 47
Factor -1/2*b**3 + 9*b**2 + 26*b - 1/2*b**4 + 20.
-(b - 5)*(b + 2)**3/2
Suppose -5*w + 2401 = -509. Let 42*r**2 - 12*r**2 - 36*r**3 + 18*r**4 + 573*r - 3*r**5 - w*r = 0. Calculate r.
0, 1, 3
Let d(j) be the third derivative of j**6/40 + 7*j**5/20 + 2*j**4 + 6*j**3 + 269*j**2. Determine z so that d(z) = 0.
-3, -2
Let m = -6 + 15. Let w be m - 1/2*8. Factor -8*v**w + v**5 + v**3 - v**4 + 6*v**5 + v**2.
-v**2*(v - 1)*(v + 1)**2
Let c(l) be the first derivative of -2*l**5/5 - 3*l**4/2 + 20*l**3/3 + 128. Factor c(g).
-2*g**2*(g - 2)*(g + 5)
Let b = 12 - 8. Factor 11*r**4 + 18*r**5 + 14*r**3 - 6*r**3 - 6*r**5 + 9*r**b.
4*r**3*(r + 1)*(3*r + 2)
Suppose 0*i - 4*a = 4*i, 0 = 4*a + 12. What is f in 4*f**3 + 3*f**2 - 3*f**5 - 15*f - f**3 - i*f**4 + 15*f = 0?
-1, 0, 1
Let z = -132 - -80. Let h = z - -57. Factor 1/3*p**3 + 0 + p**2 - p**4 - 2/3*p + 1/3*p**h.
p*(p - 2)*(p - 1)**2*(p + 1)/3
Let p(y) be the second derivative of -y**7/105 + 3*y**6/25 - 3*y**5/10 - 5*y**4/6 + y + 2. Solve p(m) = 0.
-1, 0, 5
Suppose 37*t - 5*t - 160 = 0. Let p(v) be the third derivative of 0*v + 0*v**4 + 0 + 10*v**2 - 8/3*v**3 + 2/21*v**7 - 3/5*v**6 + 17/15*v**t. Factor p(w).
4*(w - 2)*(w - 1)**2*(5*w + 2)
Let b(r) = r**3 - 10*r**2 + 10*r - 7. Let t(x) = x**3 + x**2 + 9. Let z be t(0). Let y be b(z). Factor -16/3 + 8/3*c - 1/3*c**y.
-(c - 4)**2/3
Let q(j) be the third derivative of j**8/2688 + j**7/84 + j**6/20 - 6*j**5/5 + 572*j**2. Factor q(o).
o**2*(o - 4)*(o + 12)**2/8
Let f(v) = v**3 - 1. Let m = -36 + -8. Let t be (-1 - 0)/(1/m). Let g(n) = -7*n**4 - 26*n**3 - 59*n**2 - 35*n - 17. Let a(k) = t*f(k) - 4*g(k). Factor a(y).
4*(y + 1)**2*(y + 3)*(7*y + 2)
Let g(m) be the third derivative of m**7/42 - m**6/6 + m**5/2 - 5*m**4/6 + 5*m**3/6 - m**2 + 103. Factor g(b).
5*(b - 1)**4
Suppose 8 = -q + 2*y, 22*q + y = 27*q + 4. Let s(r) be the first derivative of q*r - r**3 - 4 - r**2 - 1/4*r**4. Factor s(b).
-b*(b + 1)*(b + 2)
Let l(v) be the second derivative of -1/80*v**5 + 0*v**6 + 0*v**4 + 1/168*v**7 - 14*v + 0 + 0*v**3 + 0*v**2. Suppose l(f) = 0. What is f?
-1, 0, 1
Let w(j) be the first derivative of j**4/84 - j**3/21 + j**2/14 + 4*j + 10. Let c(v) be the first derivative of w(v). Factor c(y).
(y - 1)**2/7
Let n(y) be the second derivative of y**7/1512 + 11*y**6/2160 + y**5/180 + 5*y**4/3 - 22*y. Let a(d) be the third derivative of n(d). Factor a(g).
(g + 2)*(5*g + 1)/3
Let f(a) be the second derivative of 4/21*a**3 + 0*a**2 - 5*a + 1/21*a**4 + 0 - 1/35*a**5. Determine c so that f(c) = 0.
-1, 0, 2
Let g be (1/(-3))/(53/(-795)). Let c(o) be the second derivative of 1/12*o**3 + 1/40*o**6 + 0*o**2 + 3/16*o**4 - g*o + 0 + 1/8*o**5. Factor c(d).
d*(d + 1)*(d + 2)*(3*d + 1)/4
Let a(o) be the first derivative of -o**3/9 + 7*o**2 - 147*o - 124. Suppose a(z) = 0. What is z?
21
What is c in -295*c**3 + 283*c**3 - 16*c**2 - 20*c + 4*c**4 - 20*c**2 = 0?
-1, 0, 5
Let g(f) be the second derivative of -f**4/27 - 26*f**3/27 - 8*f**2/3 - 37*f. Factor g(x).
-4*(x + 1)*(x + 12)/9
Let c(l) be the first derivative of 0*l + 0*l**5 + 0*l**4 - 2*l**3 + 8 + 0*l**2 + 0*l**6 - 1/5040*l**7. Let m(z) be the third derivative of c(z). Factor m(x).
-x**3/6
Let z be (-4 - 5/10)/((-1)/2). Suppose z = -3*i, -d + i + 11 = d. Determine v, given that 3/5*v**d - 6/5*v**3 + 0 + 0*v + 3/5*v**2 = 0.
0, 1
Let y(l) = -13*l**3 - 59*l**2 - 114*l - 40. Let v(g) = -4*g**3 - 20*g**2 - 38*g - 14. Let n(b) = 7*v(b) - 2*y(b). Solve n(x) = 0 for x.
-9, -1
Let u(y) be the second derivative of -3/8*y**2 + y + 0 - 1/48*y**4 - 1/6*y**3. What is k in u(k) = 0?
-3, -1
Let u(p) be the third derivative of 0*p - 10/3*p**4 - 200/3*p**3 + 0 - 1/15*p**5 + 30*p**2. What is s in u(s) = 0?
-10
Let s(p) = p**5 - p**3 - p - 1. Let g(l) = 26*l**5 - 32*l**4 - 16*l**3 + 36*l**2 - 18*l - 12. Let w(d) = -g(d) + 8*s(d). Solve w(r) = 0.
-1, -2/9, 1
Let o be ((-3)/(-3))/(5 - 4) - -2. Suppose -5*r - 2*v + 0*v = -12, -5*r - 3*v + 13 = 0. Factor -3 - 5*d + 11*d + 0*d**2 + o*d**r - 6.
3*(d - 1)*(d + 3)
Let j be (-32)/12*(-9)/6. Suppose -q - 6 = -j*q. Suppose 3 + 6*v - 2*v**q + 0*v**2 - 3 = 0. Calculate v.
0, 3
Suppose 0 = -24*n + 56 + 352. Suppose -3*h - 3*z - 6 = 0, -h - z - n = 3*z. Factor 5/6*c**2 + 1/6*c**h + 1/2 + 7/6*c.
(c + 1)**2*(c + 3)/6
Let o(i) = -i**3 + 4*i**2 + 6*i - 1. Suppose -7*n + 25 = -2*n. Let p be o(n). Solve -4*r**2 - 2*r**4 + 1 + 3*r**p + 0*r**2 + 2*r**2 = 0.
-1, 1
Let m(z) be the third derivative of z**8/336 + z**7/210 - z**6/12 + 2*z**5/15 - 54*z**2. Let m(x) = 0. What is x?
-4, 0, 1, 2
Let w = -46/51 + 971/1020. Let c(a) be the second derivative of 0*a**2 + 0*a**3 + w*a**6 + 0*a**4 + 11*a + 0 + 0*a**5. Factor c(d).
3*d**4/2
Let -54*a**2 - 96*a - 5*a**3 + a**3 + 3*a**4 - 4*a**3 + 18*a**3 - a**3 + 288 = 0. What is a?
-4, 2, 3
What is v in -36/17*v - 90/17 - 2/17*v**2 = 0?
-15, -3
Let n(v) = -1 - 9*v + 4*v + 4*v + 0*v. Let a(s) = -18*s**3 - 22*s**2 + 20*s - 4. Let c(m) = -a(m) + 12*n(m). Determine g so that c(g) = 0.
-2, -2/9, 1
Let r = 1/122 - -113/1098. Let x(c) be the second derivative of r*c**3 - 1/30*c**5 + 0 - 2/3*c**2 + 1/9*c**4 + c. Factor x(j).
-2*(j - 2)*(j - 1)*(j + 1)/3
Let v = 140 + 36. Suppose 4*i + 0 = v. Find z such that i - 120*z + 110*z**2 + 1 + 5*z**4 - 40*z**3 + 0*z**4 = 0.
1, 3
Let i(o) be the third derivative of o**7/210 - o**5/20 + o**4/12 - 140*o**2. Factor i(b).
b*(b - 1)**2*(b + 2)
Let l(z) be the second derivative of 1/120*z**5 - z**2 + 0*z**4 + 10*z + 0 - 1/12*z**3. Let d(b) be the first derivative of l(b). Let d(m) = 0. What is m?
-1, 1
Let a(t) be the second derivative of -t**5/12 - 5*t**4/24 - 9*t**2 + 29*t. Let n(y) be the first derivative of a(y). Let n(c) = 0. What is c?
-1, 0
Let n(i) be the second derivative of i**5/200 + 2*i**4/15 + 29*i**3/60 + 7*i**2/10 + 87*i. Factor n(h).
(h + 1)**2*(h + 14)/10
Let f(l) be the first derivative of 2*l**3/27 + 4*l**2/9 - 8*l/3 + 44. Suppose f(j) = 0. Calculate j.
-6, 2
Let i(c) be the second derivative of 2*c**7/7 - 56*c**6/15 + 52*c**5/5 - 6*c**4 - 46*c**3/3 + 28*c**2 + 33*c. Find p, given that i(p) = 0.
-2/3, 1, 7
Let b(f) = f**3 + 2*f**2 - 1. Let g be b(1). Find k such that -3*k**2 + 7 + g + 3 = 0.
-2, 2
Let 0 + 17/10*u**3 + 1/10*u**5 - 17/10*u**2 - 7/10*u**4 + 3/5*u = 0. Calculate u.
0, 1, 2, 3
Let -1/11*p**4 - 100/11*p**2 + 0 + 20/11*p**3 + 0*p = 0. What is p?
0, 10
Factor -3*s + 16 - s**2 + 0*s + s - 4*s.
-(s - 2)*(s + 8)
Let f(u) be the third derivative of -u**6/60 + u**5/6 - u**4/6 - 8*u**3/3 + 2*u**2 - 3. Solve f(c) = 0.
-1, 2, 4
Let z = -8 - -10. Let 15*s**2 + 3*s**3 + z*s - 12*s - 8*s**3 = 0. Calculate s.
0, 1, 2
Let z(y) = 2*y**3 - 5*y**2 + 4*y. Let s be z(2). Factor w**3 - 4*w - s*w**2 + 10*w - 3*w**3.
-2*w*(w - 1)*(w + 3)
Suppose 0 = 4*d + 5*k - 32, 3*k = 4*k. Let i(y) = y. Let x(b) = 4*b**3 + 32*b**2 + 44*b + 24. Let w(j) = d*i(j) + x(j). Factor w(c).
4*(c + 1)**2*(c + 6)
Factor -42/17*c + 92/17 - 2/17*c**3 - 