- 1)*(j + 1)*(j + 2)**2
Let q(y) = -y**2 + y - 1. Let j(k) = -4*k**3 + 36*k**2 - 32*k + 4. Let t(u) = j(u) + 4*q(u). Solve t(b) = 0.
0, 1, 7
Let d = -419 - -419. Find s, given that -1/4*s**3 + d*s**2 + 0 + 0*s = 0.
0
Let a(b) be the third derivative of -b**2 + 1/9*b**3 + 0 + 1/36*b**4 - 1/90*b**5 + 0*b - 1/180*b**6. Let a(v) = 0. What is v?
-1, 1
Solve 1/3 + 1/3*r**2 + 2/3*r = 0.
-1
Let b(w) = -w**2 - 2*w - 2. Suppose -d - 2 = 3. Let u(f) = f**2 + f + 2. Let j(i) = d*u(i) - 4*b(i). Determine v so that j(v) = 0.
1, 2
Factor 3/4*u**2 + 0 - 27/8*u**3 + 3/2*u**4 + 0*u.
3*u**2*(u - 2)*(4*u - 1)/8
Let b(q) = -q**3 + 3*q**2 + q - 1. Let r be b(4). Let a = -13 - r. Factor a + 1/3*p**2 + 0*p.
p**2/3
Let i(v) be the third derivative of v**6/540 - v**5/90 + v**3/2 + 2*v**2. Let s(c) be the first derivative of i(c). Factor s(g).
2*g*(g - 2)/3
Let m(w) = 5*w**4 + 2*w**3 - 8*w**2 + 6*w - 5. Suppose -b = -5*b - 20. Let y(q) = 3*q**4 + q**3 - 5*q**2 + 4*q - 3. Let k(f) = b*m(f) + 8*y(f). Factor k(c).
-(c - 1)*(c + 1)**3
Let w(z) be the first derivative of 0*z + 2/5*z**5 + 2/3*z**3 + z**4 - 1 + 0*z**2. Factor w(c).
2*c**2*(c + 1)**2
Let i(n) = -n**2 + n + 3. Suppose 0 = 3*h - 8*h - 5*v + 15, -3 = 3*h - v. Let o be i(h). Factor 0*b + 0*b**2 + 0*b**o + 0 - 1/4*b**4 + 1/4*b**5.
b**4*(b - 1)/4
Let y be (131/(-5))/((-21)/(-35)). Let o = -43 - y. Factor -4/3*a**4 + 2/3*a**5 + 0*a**2 + o*a**3 + 0*a + 0.
2*a**3*(a - 1)**2/3
Suppose -10*m = -7*m - 18. Let r(n) be the second derivative of 0 - n + 0*n**2 - 1/165*n**m + 3/110*n**5 - 1/22*n**4 + 1/33*n**3. Factor r(w).
-2*w*(w - 1)**3/11
Let t(z) be the second derivative of z**4/48 + 6*z. Factor t(m).
m**2/4
Suppose -41 = 4*a - 3*d, -a + 6*d - d - 23 = 0. Let y be ((-2)/3)/(a/36). What is t in -4*t**y - t**2 + 4*t**3 - 4*t**3 = 0?
-1/4, 0
Let p(w) be the first derivative of 8*w**2 + 1/2*w**4 - 10/3*w**3 + 7 - 8*w. Solve p(o) = 0.
1, 2
Factor 8/3*p**4 + 0 + 32/3*p**2 - 8*p**3 - 16/3*p - 1/3*p**5.
-p*(p - 2)**4/3
Let g(d) = -3*d**2 + 3*d + 30. Let y(h) = -3*h**2 + 2*h + 29. Let k(z) = 2*g(z) - 3*y(z). Factor k(u).
3*(u - 3)*(u + 3)
Let j = -17 - -19. Suppose 12/7*o - 18/7 - 2/7*o**j = 0. Calculate o.
3
Suppose -4*d = 62 - 414. Let x be 8/6 + d/(-99). Solve 4/9*i**3 + 2/9 - 2/9*i**4 - x*i + 0*i**2 = 0 for i.
-1, 1
Let s be (-3)/(-7) + (-11)/(-7). Suppose -16*p = -15*p - s. Factor 9/5*k - 6/5 - 3/5*k**p.
-3*(k - 2)*(k - 1)/5
Suppose -5*v = -0*v - 10. Factor v*z**2 + 5*z + 13 + 7*z + 5.
2*(z + 3)**2
Let i(s) = s**3 + 10*s**2 - 9*s + 9. Let f be i(-11). Let u = -10 - f. Factor 2/7*a**u + 6/7*a - 6/7*a**2 - 2/7.
2*(a - 1)**3/7
Let d(o) = -50*o**3 - 6*o**2 + 50*o + 6. Let c(l) = -50*l**3 - 7*l**2 + 50*l + 7. Let q(m) = 4*c(m) - 6*d(m). Factor q(p).
4*(p - 1)*(p + 1)*(25*p + 2)
Let p(v) = -2*v**2 + 5*v. Let o(q) = q**2 - 7*q + 8. Let y be o(6). Let d(g) = g + g**2 - g - y*g. Let f(j) = 5*d(j) + 2*p(j). Let f(s) = 0. Calculate s.
0
Let h = -5 + 7. Solve -4*g**3 - 3*g**3 + g + 6*g**3 - g**h + g**4 + 0*g**3 = 0 for g.
-1, 0, 1
Find a such that 11/5*a**3 - 4/5*a**4 + 0 - a**2 - 2/5*a = 0.
-1/4, 0, 1, 2
Suppose 0 = 2*s - 5*s + 69. Let p = s + -20. Solve -1/5 - 4/5*d**5 + 2/5*d**p + 2/5*d - 7/5*d**4 + 8/5*d**2 = 0 for d.
-1, 1/4, 1
Let x(a) be the first derivative of -8/35*a**5 + 3 + 1/7*a**2 + 0*a + 3/7*a**4 - 8/21*a**3 + 1/21*a**6. Factor x(k).
2*k*(k - 1)**4/7
Let s be (-16)/(-12) + 28/42. Suppose -4/9*v - 2/9*v**s + 0 = 0. What is v?
-2, 0
Let c(o) be the second derivative of 0 + 0*o**2 + 2/3*o**3 - 1/3*o**4 + 9*o. Let c(y) = 0. Calculate y.
0, 1
Let o = 1091/3091 + 3/281. Find a such that o - 2/11*a + 2/11*a**4 - 6/11*a**2 + 2/11*a**3 = 0.
-2, -1, 1
Let q = 37/10 - 11/5. Let g = 28 + -28. Factor g + n**2 - q*n**3 + n**4 - 1/4*n**5 - 1/4*n.
-n*(n - 1)**4/4
Let u(s) = -s**3 + 4*s**2 + 3*s - 3. Let t be u(4). Let l be 25/9 - (-2)/t. Suppose -n**l - n**3 - n**4 - 2*n**2 + n**2 = 0. Calculate n.
-1, 0
Let b = 296 - 294. Factor -2/7*m**3 + 0*m - 2/7*m**4 + 0 + 4/7*m**b.
-2*m**2*(m - 1)*(m + 2)/7
Factor 7*k**2 - 3*k - 7*k**2 + 3*k**3 + 3*k**2 - 3*k**4.
-3*k*(k - 1)**2*(k + 1)
Let t(a) be the second derivative of a**5/150 + a**4/20 + 2*a**3/15 + a**2 + a. Let k(m) be the first derivative of t(m). Factor k(q).
2*(q + 1)*(q + 2)/5
Factor o**2 - 5*o**5 + 3*o**2 - 2*o**2 - 7*o**2 - 40*o + 25*o**3 + 5*o**4 - 20.
-5*(o - 2)**2*(o + 1)**3
Let y be (-4)/6 - (-7 + 37/6). Let h(z) be the second derivative of 1/2*z**2 - y*z**3 + 1/20*z**5 - 4*z - 1/12*z**4 + 0. Find x such that h(x) = 0.
-1, 1
Suppose -19*o**2 - 17*o**2 - 96*o + 16 - 27 - 53 - 4*o**3 = 0. Calculate o.
-4, -1
Let r(v) be the first derivative of 0*v**5 + 0*v**3 + 1/12*v**4 + 0*v - 1/60*v**6 - 1 - 1/2*v**2. Let u(l) be the second derivative of r(l). Factor u(h).
-2*h*(h - 1)*(h + 1)
Let g(f) be the third derivative of -f**6/210 - f**5/35 + 8*f**3/21 + 7*f**2. Factor g(p).
-4*(p - 1)*(p + 2)**2/7
Let m(i) be the second derivative of i**5/10 + i**4/2 - 4*i**2 - 36*i. Solve m(t) = 0.
-2, 1
Suppose 4*i - 3*i**3 - 16*i**5 - 15*i**4 - 10*i + 15*i**2 + 25*i**5 = 0. What is i?
-1, 0, 2/3, 1
Let z(q) be the second derivative of -q**6/6 - q**5/4 + 5*q**4/12 + 5*q**3/6 - 2*q + 10. Factor z(k).
-5*k*(k - 1)*(k + 1)**2
Factor 0 + 2/17*s**4 + 10/17*s**2 - 8/17*s**3 - 4/17*s.
2*s*(s - 2)*(s - 1)**2/17
Let b(x) be the first derivative of -x**3/3 - 1. Suppose -5*y = -2 + 22. Let a(z) = 3*z**2 - 2*z - 1. Let j(c) = y*b(c) - a(c). Factor j(q).
(q + 1)**2
Suppose 2*r = 3*r + 30. Let i be 12/r*(-10)/12. Let -i*h**2 + 0*h + 1/3 = 0. Calculate h.
-1, 1
Let q = 222 + -219. Factor 0*g + 3/4*g**2 - 3/2*g**q + 0 + 3/4*g**4.
3*g**2*(g - 1)**2/4
Let n(u) = -u**2 + 8*u + 11. Let o be n(9). Suppose -5 + 1 + 2*j**2 - j**3 + 0*j**2 + j + o = 0. What is j?
-1, 1, 2
Let u(w) be the second derivative of -2*w**7/63 - 2*w**6/9 - 2*w**5/3 - 10*w**4/9 - 10*w**3/9 - 2*w**2/3 + 10*w. Factor u(t).
-4*(t + 1)**5/3
Let b(w) = -290*w**2 - 120*w - 35. Let z(n) = 17*n**2 + 7*n + 2. Let p(v) = -2*b(v) - 35*z(v). Factor p(y).
-5*y*(3*y + 1)
Let y(g) = 3*g + 15. Let d be 249/(-51) + (-12)/102. Let z be y(d). Factor -1/2*m**4 + z*m**3 + 0*m**2 + 0*m + 0 + 1/2*m**5.
m**4*(m - 1)/2
Let h be -1 - (-12 + 5 - -3). Let t(i) be the second derivative of 0 + 1/70*i**5 + 0*i**h + 1/105*i**6 + 0*i**2 + 0*i**4 + i. Find b such that t(b) = 0.
-1, 0
Let b(q) be the first derivative of 2*q**5/35 - q**4/7 - 2*q**3/7 + 8*q**2/7 - 8*q/7 - 17. Suppose b(r) = 0. What is r?
-2, 1, 2
Let w(f) be the third derivative of f**7/70 + f**6/20 + f**5/20 - 7*f**2. Factor w(o).
3*o**2*(o + 1)**2
Let g(i) = 4*i**2 - 22*i + 118. Let f(x) = x**2 - 1. Let h(w) = -3*f(w) + g(w). Factor h(m).
(m - 11)**2
Factor -1/2*w - 1/3 - 1/6*w**2.
-(w + 1)*(w + 2)/6
Suppose -3 = 5*q - 18. Factor -2*g + g - 2*g**3 + q*g.
-2*g*(g - 1)*(g + 1)
Determine v so that 2/3*v**2 + 0*v**3 + 0 - 2/3*v**4 + 0*v = 0.
-1, 0, 1
Let l be -1 + 6/9 - -1 - 0. Factor 0*y**2 + 0*y - 2/3*y**4 + 0*y**3 + l*y**5 + 0.
2*y**4*(y - 1)/3
Let t(b) be the third derivative of -7*b**6/60 - 2*b**5/15 - b**4/21 + 22*b**2. Let t(r) = 0. Calculate r.
-2/7, 0
Suppose 0 = 4*i + 8, 2*q + 5*i - 8 = -0*i. Factor -2*n**5 - 3*n + q*n**4 - 4*n**4 + 5*n**5 - 6*n**2 + n**4.
3*n*(n - 1)*(n + 1)**3
Let s(f) = -f**3 - f**2 + f + 1. Let p(o) = 5*o + 3 - 2*o - 4*o**3 - 3*o**2 + o**3. Let x(z) = p(z) - s(z). Factor x(k).
-2*(k - 1)*(k + 1)**2
Let j(p) = p**2 - 16*p - 57. Let u be j(19). Let l(w) be the third derivative of -3/20*w**5 - 2*w**2 - 1/2*w**3 + u - 1/40*w**6 - 3/8*w**4 + 0*w. Factor l(h).
-3*(h + 1)**3
Let u(q) = q. Let c(y) = -y**2 + 13*y. Let v(s) = -2*c(s) + 22*u(s). Factor v(m).
2*m*(m - 2)
Let y(v) be the third derivative of -v**6/30 - 8*v**5/15 + 3*v**4/2 - 14*v**2 + 1. Factor y(j).
-4*j*(j - 1)*(j + 9)
Let j(q) = -q**5 - 2*q**3 + 2*q**2 + 2*q + 2. Let k(l) = 3*l**5 + 9*l**3 - 9*l**2 - 9*l - 9. Let r(y) = 9*j(y) + 2*k(y). Find p, given that r(p) = 0.
0
Let j(h) = -h**3 - 9 + 2*h**2 - 6*h + 8*h + 4*h**2. Let s be j(6). What is z in 4*z**2 - z**3 + 3*z**3 - z**3 - 3*z**s = 0?
0, 2
Let u = -29534245/469 - -62973. Let n = u - -6/67. Let 2/7 + 2/7*y - 2/7*y**3 - n*y**2 = 0. Calculate y.
-1, 1
Let h(u) be the first derivative of 2*u**5/5 - 2*u**3/3 + 1. Factor h(i).
2*i**2*(i - 1)*(i + 1)
Let m be 220/275 - (-8)/(-10). Dete