 + -56/149. Suppose 0 - x*v**2 - 9/7*v = 0. What is v?
-3, 0
Suppose -m - 6 = -9. Suppose 5*l + 2*l = -m*l. Factor -4/9*o - 2/9*o**2 + l.
-2*o*(o + 2)/9
Factor -18/17*l**2 - 20/17*l + 0 + 2/17*l**3.
2*l*(l - 10)*(l + 1)/17
Let i(j) = j**3 - 11*j**2 - 13*j + 14. Let y be i(12). Suppose 5*a - a - 3*s - 23 = 0, -5*a + 27 = -2*s. Factor 4*f**2 - 4*f**2 + a*f**y - 3*f**2 - 2.
2*(f - 1)*(f + 1)
Let r(d) be the first derivative of 1/4*d**3 + 3*d + 28 - 3/2*d**2. Determine h, given that r(h) = 0.
2
Let s(l) = -l**3 - 15*l**2 - 2*l - 26. Let d be s(-15). Determine r so that -26*r**d + 3*r**3 + 22*r**4 + r**3 - 4*r**5 - 8*r**2 + 12*r**4 = 0.
-1, 0, 1, 2
Let f(u) = u + 4. Let j be f(-3). Let t be (4 - (j - -3))*(-2)/4. Factor t*b**2 + 2/9*b + 0 - 2/9*b**3.
-2*b*(b - 1)*(b + 1)/9
Let k(w) be the second derivative of w**5/140 + 8*w**4/21 - 11*w**3/14 + 60*w. Factor k(n).
n*(n - 1)*(n + 33)/7
Let f(b) be the first derivative of -b**5/40 - b**4/4 - 23*b**3/24 - 7*b**2/4 - 3*b/2 - 109. Factor f(c).
-(c + 1)*(c + 2)**2*(c + 3)/8
Suppose 2*f = -4*f - 108. Let i be (21/28)/(-3) + f/(-8). Factor -4/3*s + 2/3*s**i - 2.
2*(s - 3)*(s + 1)/3
Let h(q) = 6*q**2 - 2*q. Let v(m) = -3*m + 3*m + 3*m - 13*m**2. Let x(d) = -5*h(d) - 2*v(d). Suppose x(f) = 0. Calculate f.
0, 1
Let x(n) be the second derivative of -n**6/285 - 8*n**5/95 - 13*n**4/19 - 112*n**3/57 - 49*n**2/19 - n - 60. Factor x(q).
-2*(q + 1)**2*(q + 7)**2/19
Suppose 30*z**3 + 657/2*z**2 + 3/4*z**4 + 1083/4 + 570*z = 0. What is z?
-19, -1
Let c(u) be the first derivative of 9/20*u**4 - 3/25*u**5 - 1/10*u**6 - 3/5*u**2 + 0*u + 1/5*u**3 + 6. Solve c(q) = 0.
-2, -1, 0, 1
Let b(w) be the first derivative of 1/6*w**3 - 4 - 1/4*w**2 + 1/6*w - 1/24*w**4. Factor b(s).
-(s - 1)**3/6
Let z(u) be the first derivative of -u**5/35 + 5*u**4/21 + 4*u**3/7 - 31*u - 53. Let a(r) be the first derivative of z(r). What is c in a(c) = 0?
-1, 0, 6
Let i be (-7)/4*(-45 + 81). Let s be ((-2)/8 - 0)*84/i. Suppose 0 + s*w**3 + 2/3*w - w**2 = 0. What is w?
0, 1, 2
Let a = 4086/5 - 816. Let y = 5 + 0. What is l in 0 - 4/5*l**3 - 2/5*l**y + 0*l**2 + a*l**4 + 0*l = 0?
0, 1, 2
Let z = -2783 + 8365/3. Let -4*d**3 + z*d + 0 - 4/3*d**4 + 0*d**2 = 0. What is d?
-2, 0, 1
Factor 13*a + 318*a**4 - 315*a**4 - 4*a - 15*a**2 + 3*a**3.
3*a*(a - 1)**2*(a + 3)
Let v(i) = i**4 - i**3 - i**2 - 2*i + 1. Let x(m) = 35*m**5 + 705*m**4 + 1370*m**3 + 697*m**2 - 78*m - 71. Let j(s) = v(s) - x(s). Determine h so that j(h) = 0.
-18, -1, -2/5, 2/7
Let q = -86 + 934/11. Let r = q - -71/55. Find m, given that -1/5*m**3 - r*m**2 + 1/5*m + 1/5 = 0.
-1, 1
Let u(w) = -781*w**3 + 905*w**2 - 119*w + 1. Let t(q) = -780*q**3 + 908*q**2 - 120*q. Let z(k) = 3*t(k) - 4*u(k). Let z(a) = 0. What is a?
1/14, 1
Let c be (0 + -1)*(-1169)/2338. Let h(p) = 3*p - 2. Let s be h(2). Suppose -c*y + y**2 + 2*y**s + 0 + 7/2*y**3 = 0. What is y?
-1, 0, 1/4
Suppose 5*d = -b - 0*b, -5*d + 5*b = 0. Suppose 23*q - 15*q - 32 = d. Solve 12/7*v**2 + 4/7*v**q + 12/7*v**3 + 4/7*v + 0 = 0 for v.
-1, 0
Let f(n) = -n**2 + 16*n - 8. Let u be f(16). Let j = -5 - u. Solve t - j*t**2 - t**3 + 0*t**3 - 14 + t**4 + 16 = 0 for t.
-1, 1, 2
Let o(p) = p**2 + 1. Let s(l) = -9*l**2 + 36*l - 8. Let m(j) = -8*j**2 + 36*j - 8. Let b(n) = -2*m(n) + 3*s(n). Let f(w) = -b(w) + 4*o(w). Factor f(u).
3*(u - 2)*(5*u - 2)
Let j(l) be the second derivative of 0 + 1/6*l**4 - 1/5*l**3 - 1/50*l**5 - 9/5*l**2 - 16*l. Factor j(v).
-2*(v - 3)**2*(v + 1)/5
Factor 2*o - o**4 - 90 + 174*o**2 + 168*o**2 - 487*o**2 + o + 168*o**2 + o**3.
-(o - 5)*(o - 2)*(o + 3)**2
Let s be 2*((-23)/(-2) + -9). Let m(g) be the first derivative of g**2 + 17/2*g**4 + 0*g - s + 2*g**6 - 34/5*g**5 - 14/3*g**3. Solve m(x) = 0.
0, 1/3, 1/2, 1
Let r be (-334)/(-12) - (-2)/12. Let g = -22 + 42. Determine l so that 4*l**4 + g*l**3 + 5 - 8 + 11 + 36*l**2 + r*l = 0.
-2, -1
Suppose -5*h + d = -35, 2*d + 0*d - 28 = -4*h. Let j = 9 - h. Factor -s - 6*s**2 + s**j + 7*s + 2*s**2.
-3*s*(s - 2)
Let o(v) be the third derivative of v**7/84 + 11*v**6/24 + 35*v**5/6 + 125*v**4/6 - 2*v**2 + 75. Factor o(u).
5*u*(u + 2)*(u + 10)**2/2
Factor 14/5*w**3 + 9/5 + 24*w - 83/5*w**2.
(w - 3)**2*(14*w + 1)/5
Let a(i) = -11*i**2 - 38*i + 54. Let u(t) = 120*t**2 + 415*t - 595. Let c(s) = 65*a(s) + 6*u(s). Find x, given that c(x) = 0.
-6, 2
Let s be (-1 + 1)/(-114 - -115). Determine j, given that 26/3*j**2 + 14/3*j**5 + s + 4/3*j + 46/3*j**4 + 18*j**3 = 0.
-1, -2/7, 0
Let k = -31 + 27. Let n be -1 + (1 - k) - (2 + 0). Factor 0 - 2/9*f**n + 0*f.
-2*f**2/9
Let g(v) be the first derivative of 0*v - 4 + 2/11*v**2 + 2/33*v**3. Factor g(t).
2*t*(t + 2)/11
Let a be (16 + (-3 - 7) - (-1 - -1))/3. Suppose 1/2 + 1/4*i**a + 3/4*i = 0. Calculate i.
-2, -1
Let x(y) be the second derivative of -4*y**6/3 - 9*y**5/20 + 161*y**4/48 + 3*y**3/2 - y**2/8 - 161*y. Determine h, given that x(h) = 0.
-1, -1/4, 1/40, 1
Let s(w) be the second derivative of w**6/30 + 11*w**5/60 - 13*w**4/36 - 17*w**3/6 + 3*w**2 + 463*w. Factor s(h).
(h - 2)*(h + 3)**2*(3*h - 1)/3
What is h in -5*h**2 + 71*h**4 + 0 + 0 - 70*h**4 + 5*h + 2*h**3 - 11*h = 0?
-3, -1, 0, 2
Let b(q) be the second derivative of -q**10/20160 + q**8/1120 - 7*q**4/6 - 45*q. Let c(w) be the third derivative of b(w). Suppose c(x) = 0. What is x?
-2, 0, 2
Suppose -5*g - a + 1379 = 0, -2*g + 3*a + a + 534 = 0. Let x be g/20 - 1/(-4). Solve 6*o**2 + 3*o**5 + x*o - 4*o - 10*o - 9*o**3 = 0.
-2, 0, 1
Factor -7*q**3 - 5*q**3 + 10*q**4 + 8*q**5 - 24*q**4 + 2*q**2 + 16*q**3.
2*q**2*(q - 1)**2*(4*q + 1)
Let b(n) be the first derivative of 2*n**4/15 - n**3/15 - 3*n**2/5 + 43*n + 26. Let g(q) be the first derivative of b(q). Determine j so that g(j) = 0.
-3/4, 1
Let f = -1191 + 1198. Let v(l) be the third derivative of -1/735*l**f - 1/42*l**4 - 1/42*l**5 + 0*l + 8*l**2 + 0 + 0*l**3 - 1/105*l**6. Factor v(g).
-2*g*(g + 1)**2*(g + 2)/7
Let t(u) be the second derivative of -5*u**4/12 - 5*u**3 - 45*u**2/2 + u - 8. Suppose t(x) = 0. What is x?
-3
Let v(r) be the third derivative of r**5/105 - r**4/2 - 76*r**2 - r. Let v(g) = 0. What is g?
0, 21
Let k be (-11)/(-12) + (340/30 - 12). Let b(u) be the second derivative of 1/20*u**5 - k*u**4 + 0 + 0*u**2 - 2*u + 0*u**3. Factor b(t).
t**2*(t - 3)
Let b be -9 - (3 - (1 + 13)). Let g(h) be the first derivative of -12 + 1/18*h**3 + 1/2*h - 1/3*h**b. Factor g(l).
(l - 3)*(l - 1)/6
Let c(j) = 9*j**4 + 18*j**3 + 42*j**2 + 36*j + 9. Let h(q) = -8*q**4 - 18*q**3 - 41*q**2 - 35*q - 9. Let x(y) = -5*c(y) - 6*h(y). Factor x(i).
3*(i + 1)**3*(i + 3)
Factor -48*y**4 + 21*y**2 + 1032*y - 975*y + 888*y**3 + 432*y**2.
-3*y*(y - 19)*(4*y + 1)**2
Let d(u) = u**2 - 3*u. Suppose q = -0*q + 2. Let h(n) = n**2 + 1. Let k(l) = q*h(l) - d(l). Factor k(c).
(c + 1)*(c + 2)
Let z be 5*(-48)/117 - -2. Let c = z + 5/13. Determine x so that c*x**2 - 2/3*x + 0 = 0.
0, 2
Let f(x) be the second derivative of -x**4/4 + 3*x**3/2 + 15*x**2 + 44*x. Suppose f(m) = 0. What is m?
-2, 5
Let b(s) = -2*s**2 - 41*s - 205. Let u be b(-9). Determine h, given that -3/5*h**3 + 0*h**u + 0*h + 0 = 0.
0
Let x = 4/619 + -6881/11142. Let h = -1/9 - x. Suppose h*r**2 + 1 + 3/2*r = 0. Calculate r.
-2, -1
Let r(h) be the first derivative of -8*h**2 + 16*h - 10 + 4/3*h**3. Determine x, given that r(x) = 0.
2
Let -3*r + 0*r**3 + 0*r**3 + 10 - r**3 - 6*r**2 = 0. Calculate r.
-5, -2, 1
Let d(c) = -c**2 - 2*c - 1. Let r(h) = h**3 - 72*h**2 + 2205*h - 19674. Let a(g) = -18*d(g) - 2*r(g). Factor a(k).
-2*(k - 27)**3
Let h = 803 + -2408/3. Factor 0 + h*p + 4/3*p**2 + 2*p**3 + 1/3*p**5 + 4/3*p**4.
p*(p + 1)**4/3
Let l(d) be the second derivative of -1/15*d**5 - d - 1/9*d**3 + 0*d**2 + 1/90*d**6 + 5/36*d**4 + 0. Solve l(m) = 0 for m.
0, 1, 2
Let n(m) be the third derivative of -m**7/35 - 11*m**6/60 - 2*m**5/5 - m**4/3 - 126*m**2. Determine o so that n(o) = 0.
-2, -1, -2/3, 0
Let f be (-81)/12 + 1/(-4). Let u(d) = -2*d - 12. Let y be u(f). Find l, given that 16*l**2 + 1 + 3*l**3 - 1 - 6*l - 19*l**y = 0.
-1, 0, 2
Let c(y) be the first derivative of y**4/6 + 8*y**3/9 + 4*y**2/3 + 41. Suppose c(p) = 0. What is p?
-2, 0
Let n = 64475/327 + -1/218. Let t = 198 - n. Determine y so that 1/6 + 2/3*y**5 - 4/3*y**4 - t*y + 7/6*y**2 + 1/6*y**3 = 0.
-1, 1/2, 1
Let y be (((-1)/(-4) + -1)/((-408)/(-272)))/(-