Let u(v) = -11*v**3 - 8*v**2 - 11*v + 22. Let j(l) = u(l) + 4*w(l). Solve j(m) = 0.
-3, -2, 1
Let o(j) be the second derivative of 1/21*j**4 - 20/21*j**3 + 9*j + 18/7*j**2 + 0. Solve o(t) = 0 for t.
1, 9
Let i(m) = -m**2 - m - 1. Let n(g) = -9*g**2 + 8*g - 14. Let k = 13 + -14. Let p(z) = k*n(z) + 5*i(z). Determine w so that p(w) = 0.
1, 9/4
Let z be 3/(-9)*(-4)/40. Let m(l) be the second derivative of 3*l + 0*l**2 - 1/9*l**3 + 1/90*l**6 + z*l**5 + 0 - 1/36*l**4. Factor m(a).
a*(a - 1)*(a + 1)*(a + 2)/3
Suppose -2*m = -4*t + t - 12, -3*m = 0. Let n be (4/(-8))/(1/t). Suppose l**3 - 13*l**n + 13*l**2 = 0. What is l?
0
Let a(g) be the second derivative of -g + 0*g**2 + 4/27*g**4 + 2/9*g**6 + 0 + 0*g**3 - 14/45*g**5 - 1/21*g**7. Factor a(v).
-2*v**2*(v - 2)*(3*v - 2)**2/9
Let l(i) be the first derivative of -i**3/7 + 27*i**2/14 + 108*i/7 + 112. Factor l(m).
-3*(m - 12)*(m + 3)/7
Factor 0 - 21 - 21 + 44*h - 2*h**2.
-2*(h - 21)*(h - 1)
Factor 1/4*c**5 + 63/2*c**4 + 0*c**2 + 3969/4*c**3 + 0*c + 0.
c**3*(c + 63)**2/4
Let c be (-122)/(-6) + 6/9 + -3. Let -15 - 10*d**3 - 3 + c - 15*d**4 = 0. Calculate d.
-2/3, 0
Let -24/5*p**2 - 12/5*p**4 + 8/5*p + 2/5*p**5 + 26/5*p**3 + 0 = 0. What is p?
0, 1, 2
Suppose -1185 = -8*u - 1161. Let b(k) be the first derivative of -2/21*k**u - 2/7*k + 4 - 2/7*k**2. Solve b(n) = 0 for n.
-1
Let t(u) be the second derivative of -u**5/50 + u**4/20 + u**3/10 - u**2/5 - 75*u. Determine x so that t(x) = 0.
-1, 1/2, 2
Let u be 1/2 + (-153)/(-34). Let a(g) = -g**2 - 4*g - 1. Let n(i) = i**2 + i + 1. Let f(y) = u*a(y) + 10*n(y). Factor f(v).
5*(v - 1)**2
Let a(n) = -n**3 + 3*n**2 + n - 1. Let o(v) = -4*v**3 + v**2 + 22*v - 13. Let w(k) = -3*a(k) + o(k). Solve w(q) = 0.
-10, 1
Let x(n) be the third derivative of 3*n**5/28 + 43*n**4/56 - 3*n**3/7 - 2*n**2 - 64. Solve x(d) = 0.
-3, 2/15
Suppose 40/9*o**2 + 0 - 2/9*o**3 + 14/3*o = 0. What is o?
-1, 0, 21
Suppose 11*t - 27*t + 10*t + 18 = 0. Factor -1/6*z**4 + 1/6*z**5 + 2/3 - 5/6*z**t + 1/6*z**2 + 4/3*z.
(z - 2)**2*(z + 1)**3/6
Let p(o) be the second derivative of -o**4/4 - 73*o**3 - 15987*o**2/2 + 266*o. Factor p(r).
-3*(r + 73)**2
Let n(s) be the first derivative of -s**6/30 + 8*s**2 + 1. Let m(a) be the second derivative of n(a). Factor m(b).
-4*b**3
Let r(f) be the second derivative of 0 + 0*f**3 + 40*f**2 + 0*f**5 + 32*f + 1/6*f**6 - 10/3*f**4. What is a in r(a) = 0?
-2, 2
Let b = -8 + 10. Let j(c) = c - 3*c**b - c**3 + c**2 + c**2. Let q(i) = -2*i**3 - 4*i**2 + 4*i. Let f(s) = -4*j(s) + q(s). Find h such that f(h) = 0.
0
Let g be 3/12*(-8)/(-11). Let m(x) be the first derivative of -2/33*x**3 - g*x**2 + 9/22*x**4 + 0*x + 26/55*x**5 + 5/33*x**6 + 6. Suppose m(i) = 0. What is i?
-1, 0, 2/5
Let o(y) be the first derivative of 1/6*y**3 + 0*y + 1/60*y**5 - 3*y**2 + 1 - 1/12*y**4. Let q(i) be the second derivative of o(i). Factor q(h).
(h - 1)**2
Factor -33*b + 16*b**3 - 88*b**3 + 391*b**2 + 105*b - 324 - 6*b**4 + 10*b**4 - 71*b**2.
4*(b - 9)**2*(b - 1)*(b + 1)
Solve 1/2*c**5 + 51*c - 79/2*c**2 - 39/2*c**3 + 0 + 15/2*c**4 = 0 for c.
-17, -2, 0, 1, 3
Factor -14/23*h**2 - 16/23*h + 2/23*h**3 + 0.
2*h*(h - 8)*(h + 1)/23
Let r(w) = w + 1. Let n(s) = -2*s**2 - 94*s - 1150. Let q(c) = n(c) - 2*r(c). Solve q(x) = 0 for x.
-24
Let k(n) be the second derivative of 5*n**7/189 - n**6/135 - 2*n**5/9 + 2*n**4/27 + 11*n + 4. Determine t so that k(t) = 0.
-2, 0, 1/5, 2
What is s in -1/6*s**3 + 1/2*s**2 + 5/3*s + 0 = 0?
-2, 0, 5
Let i(w) be the second derivative of -w**8/1344 - w**7/504 + w**6/36 + w**5/6 - 3*w**4/4 + 7*w. Let n(u) be the third derivative of i(u). Factor n(s).
-5*(s - 2)*(s + 1)*(s + 2)
Let g(j) = j**2 + 6*j - 185. Let f be g(-17). Let i(m) be the first derivative of 1/6*m**3 + 2/3*m**f + 5 - 3/8*m**4 - 2/3*m. Factor i(w).
-(w + 1)*(3*w - 2)**2/6
Let r(y) be the third derivative of y**7/42 + y**6/24 - 3*y**5/4 - 15*y**4/8 + 6*y**2 - 2*y. Solve r(c) = 0 for c.
-3, -1, 0, 3
Let z(h) = 4*h**4 + h**3 - 12*h**2 - 22*h - 19. Let q(c) = 9*c**4 + 2*c**3 - 24*c**2 - 42*c - 39. Let a(g) = -6*q(g) + 14*z(g). Factor a(l).
2*(l - 4)*(l + 1)*(l + 2)**2
Let l be (-2173)/(-4920) + 2/(-5). Let r(k) be the second derivative of 0 + 1/9*k**3 + l*k**4 - 1/3*k**2 - k. Find q, given that r(q) = 0.
-2, 2/3
Let s(i) be the first derivative of 0*i + 8*i**6 + 4 + 24/5*i**5 - 8*i**3 - 3/2*i**2 - 45/4*i**4. What is w in s(w) = 0?
-1, -1/4, 0, 1
Let y(o) = 3*o**2 + 2*o - 1. Let a be y(1). Find v such that 5*v**2 - 12*v**2 - 2 + a*v + 5*v**2 = 0.
1
Let y be 774/(-473) + (-1 - -3*1). Factor -y*h + 6/11*h**2 - 2/11.
2*(h - 1)*(3*h + 1)/11
Let f = 119 - 117. Suppose -4*c = -b + f, -4*b = 4*c - c - 8. Factor c*h - 2/7*h**4 - 6/7*h**3 + 0 - 4/7*h**2.
-2*h**2*(h + 1)*(h + 2)/7
Let b(j) = 2*j**2 + 3*j - 75. Let o be b(-7). Let l(z) be the third derivative of 0 + 5*z**o + 1/6*z**5 - 3*z**3 - 1/60*z**6 + 0*z - 1/4*z**4. Factor l(m).
-2*(m - 3)**2*(m + 1)
Let h(c) be the first derivative of -3*c**5/5 + c**3 + 56. Determine q, given that h(q) = 0.
-1, 0, 1
Let l = -1/2277 - -3796/2277. Factor 40/3*y - l*y**2 - 20.
-5*(y - 6)*(y - 2)/3
Let a(f) = -f + 7. Let y be -2 + -10 + (-6 - -3). Let x be a(y). Let 2*g**2 - x*g - 6*g**2 + 3*g**3 + 20*g - g**2 = 0. What is g?
-1/3, 0, 2
Let n(u) be the first derivative of 2*u**5/11 - 3*u**4/22 - 4*u**3/3 + 12*u**2/11 + 16*u/11 - 54. Determine l so that n(l) = 0.
-2, -2/5, 1, 2
Let y(f) = 2*f**5 + 3*f**4 - 11*f**3 - 24*f**2. Let o(b) = 4*b**5 + 7*b**4 - 21*b**3 - 48*b**2. Let a(q) = -3*o(q) + 5*y(q). Solve a(v) = 0.
-3, -2, 0, 2
Let s(b) = -b - 5. Let d be s(-10). Suppose -d*p = -p - p. Find l, given that p - 1/5*l + 2/5*l**2 + 1/5*l**5 + 0*l**3 - 2/5*l**4 = 0.
-1, 0, 1
Suppose -31*y**2 - 4*y**5 + 9*y**2 + 32*y - 16*y**4 + 12*y**3 + 78*y**2 = 0. Calculate y.
-4, -1, 0, 2
Let c(z) = 10*z - 19. Let t be c(-6). Let g = -79 - t. Factor g - 2/3*b + 1/3*b**2.
b*(b - 2)/3
Let p(v) = -v**5 - 2*v**3 + v**2 + 1. Let l(c) = 4*c**5 - 2*c**4 - 60*c**3 + 18*c**2 + 18. Let s(a) = -2*l(a) + 36*p(a). Find n, given that s(n) = 0.
-1, 0, 12/11
Let z be 5/(480/108) - (0 - -1). Let r(v) be the third derivative of 0 + v**3 + 0*v - z*v**6 + 1/70*v**7 - 2*v**2 + 9/20*v**5 - 7/8*v**4. Factor r(m).
3*(m - 2)*(m - 1)**3
Let g(t) be the third derivative of -125/48*t**3 - 25/64*t**4 + 0*t - 5*t**2 - 1/960*t**6 + 0 - 1/32*t**5. Let g(y) = 0. Calculate y.
-5
Let k = 1/5352 + 10699/26760. Factor -2/5*m**2 + 0*m - k*m**3 + 0.
-2*m**2*(m + 1)/5
Let o(a) = a**3 + 34*a**2 - 59*a + 470. Let z be o(-36). Find s such that -2/3 - 7/6*s**4 - 25/6*s**z + 19/6*s**3 + 1/6*s**5 + 8/3*s = 0.
1, 2
Let w(d) be the third derivative of 0 + 0*d + 0*d**4 + 0*d**3 - 1/105*d**7 - 1/60*d**6 - 3*d**2 - 1/504*d**8 - 1/90*d**5. Factor w(m).
-2*m**2*(m + 1)**3/3
Let n be (-6 - 232/(-24)) + -3. Solve 2*y - 4/3*y**2 + 0 - n*y**3 = 0 for y.
-3, 0, 1
Factor -631 - 237*o - 83*o + 868 + 1938 + 2945 + 5*o**2.
5*(o - 32)**2
Let x(c) = -2*c**3 - c**2 + c - 2. Let a(u) = -17*u**3 + 131*u**2 - 48*u - 12. Let p(j) = a(j) - 6*x(j). Find w such that p(w) = 0.
0, 2/5, 27
Let i(l) = l**2 + 4*l + 9. Let o(w) = -w. Let v be ((-2)/3)/((-14)/(-3) + -4). Let q(n) = v*i(n) + 2*o(n). Factor q(c).
-(c + 3)**2
Let r(s) be the first derivative of 4/5*s**5 - 4*s**4 + 8/3*s**3 - 12*s - 15 + 8*s**2. Determine x, given that r(x) = 0.
-1, 1, 3
Let g(d) be the second derivative of d**6/90 + d**5/60 - d**4/6 - 2*d**3/9 + 4*d**2/3 - 19*d. Factor g(o).
(o - 2)*(o - 1)*(o + 2)**2/3
Let z be 2/(-6) + (1938/(-126) - -16). Solve 6/7*q + z*q**2 - 8/7 = 0 for q.
-4, 1
Factor 21/5*c**2 - 147/5*c + 343/5 - 1/5*c**3.
-(c - 7)**3/5
Let t(w) = -w**4 + w**3 - w**2 - w - 1. Let c(d) = d**4 - d**3 + 13*d**2 + d - 2. Let u(o) = -c(o) - 4*t(o). Solve u(g) = 0.
-1, 1, 2
Factor 0*r + 6/5*r**4 + 8/5*r**3 + 0 - 8/5*r**2.
2*r**2*(r + 2)*(3*r - 2)/5
Let c(a) be the third derivative of 0*a + 2*a**2 + 1/300*a**5 + 2/3*a**3 + 1/900*a**6 + 0*a**4 + 0. Let v(b) be the first derivative of c(b). Factor v(w).
2*w*(w + 1)/5
Let h(c) = c + 41. Let j be h(-11). Let t = j + -27. Factor -1/2*r**t + 0*r + 1/2*r**4 - r**2 + 0.
r**2*(r - 2)*(r + 1)/2
Let h(a) = -a**3 + 12*a**2 - 11*a + 3. Let s be (-4)/((-16)/(-6))*(-22)/3. Let y be h(s). Factor -2/3*u + 0 - 2/3*u**y + 4/3*u**2.
-2*u*(u - 1)**2/3
Suppose -6*x + 150