7*d. Solve w(f) = 0.
8
Suppose -2*p + 3*p = 5*l - 10, 3*p + 16 = l. Let k be 3 - l*(2 + 1). Let k + 1/4*q + 1/4*q**2 = 0. What is q?
-1, 0
Let q = -27 + 12. Let x = q + 21. Find c, given that 3*c - c**2 - 1 + 0*c - x*c - 1 = 0.
-2, -1
Let f be (-6)/9 + 10/6. Let t be ((-14)/12 + f)*-3. Find i, given that 0 - 3/2*i**3 + 1/2*i**4 + 1/2*i + i**5 - t*i**2 = 0.
-1, 0, 1/2, 1
Let k = -1011 - -3070/3. Let u = k + -12. What is c in -1/3*c**3 + 1/3*c - u*c**2 + 1/3 = 0?
-1, 1
Let r(i) = -3*i. Let o be r(1). Let v = 6 + o. Let 0*h**v - 2/7*h**4 + 4/7*h**2 - 2/7 + 0*h = 0. What is h?
-1, 1
Let k be 3/(81/(-6)) - (-29)/9. Let z(p) be the second derivative of -p**k + 0 - 3/2*p**2 + 3/4*p**4 - 3*p. Suppose z(y) = 0. What is y?
-1/3, 1
Let o(j) be the third derivative of -j**6/360 + j**5/90 - j**4/72 - 6*j**2. Factor o(t).
-t*(t - 1)**2/3
Let z(f) be the second derivative of -f**4/30 + 2*f**3/5 - f**2 - 11*f. Let z(k) = 0. What is k?
1, 5
Suppose -3*a = -9*a. Let r(j) be the first derivative of 0*j**2 + a*j - 1/18*j**4 + 1 + 2/45*j**5 + 0*j**3. Solve r(d) = 0 for d.
0, 1
Factor 4/17*g**3 + 2/17*g**5 - 6/17*g**4 + 0*g**2 + 0 + 0*g.
2*g**3*(g - 2)*(g - 1)/17
Let y = -5341/3 + 1821. Let g = -40 + y. Factor -4/3*t + 4/3*t**3 - g + 2/3*t**2.
2*(t - 1)*(t + 1)*(2*t + 1)/3
Let q(i) be the third derivative of i**7/140 - i**6/40 + i**5/40 + 15*i**2. Determine u, given that q(u) = 0.
0, 1
Let q = 3493 + -17783/5. Let j = 64 + q. Factor -6/5*v**3 + 6/5*v**2 + j*v**4 + 0 - 2/5*v.
2*v*(v - 1)**3/5
Let d be (-2)/(-1)*(-81)/(-42) + -3. Suppose -2/7 - d*q**2 - 8/7*q = 0. What is q?
-1, -1/3
Let c(p) be the first derivative of -p**7/2100 - p**6/900 + p**3/3 + 2. Let o(y) be the third derivative of c(y). Factor o(j).
-2*j**2*(j + 1)/5
Let v(t) be the third derivative of -7*t**2 - 1/1008*t**8 + 0 + 0*t**3 + 0*t**7 + 0*t + 0*t**4 + 0*t**5 + 1/360*t**6. Suppose v(o) = 0. What is o?
-1, 0, 1
Let l(t) be the third derivative of 0*t**3 - 3*t**2 + 0 + 1/60*t**6 + 1/105*t**7 + 0*t**5 + 0*t**4 + 0*t. Solve l(x) = 0.
-1, 0
Let t(z) be the third derivative of -2*z**7/105 + z**6/6 - z**5/5 - 5*z**4/6 + 8*z**3/3 - 6*z**2. Solve t(x) = 0 for x.
-1, 1, 4
Let a(q) = q**2 - q. Let f(n) = -8*n**3 - 18*n**2 - 8*n - 2. Suppose 3*s - 4 = -1. Let y(r) = s*f(r) + 2*a(r). Determine d so that y(d) = 0.
-1, -1/2
Let a(r) = -r**2 + r - 2. Let h be a(0). Let d(k) = -3*k**2 - k. Let p(y) = 3*y**2 + y + 1. Let s(c) = h*p(c) - 3*d(c). Factor s(x).
(x + 1)*(3*x - 2)
Let o(p) = 6*p**2 + 4*p - 5. Let m(r) = 5*r**2 + 3*r - 4. Let k(v) = -5*m(v) + 4*o(v). Factor k(z).
-z*(z - 1)
Let i(n) be the first derivative of 0*n**2 + 0*n + 0*n**3 + 1/2*n**4 + 1/3*n**6 + 4/5*n**5 - 4. Determine d, given that i(d) = 0.
-1, 0
Let c(o) = -o**2 + 5*o + 8. Let n(f) = f**2 - 11*f - 17. Let p(v) = 5*c(v) + 2*n(v). Find d such that p(d) = 0.
-1, 2
Let x(q) be the third derivative of -7/60*q**6 + 7/24*q**4 + 1/105*q**7 + 0 + 0*q + 1/3*q**3 - q**2 - 1/15*q**5 + 1/48*q**8. Let x(i) = 0. What is i?
-1, -2/7, 1
Factor 2/11*k**2 - 4/11*k - 6/11.
2*(k - 3)*(k + 1)/11
Let t(k) = -k**3 - 10*k**2 - 10*k - 3. Suppose 0 = -2*y - 1 - 9, 0 = 5*j + y + 50. Let r be t(j). Factor r*h + 4 + 2*h**2 + h**2 - h**2.
2*(h + 1)*(h + 2)
Let p(u) be the third derivative of 0*u**6 + 2/3*u**3 + 0*u + u**2 + 0 + 0*u**4 - 13/60*u**5 + 3/70*u**7. What is n in p(n) = 0?
-1, -2/3, 2/3, 1
Let b(k) = -7*k**2 - 3. Let i(x) = 8*x**2 + 4. Let u be ((-15)/(-12))/((-1)/4). Let s(y) = u*i(y) - 6*b(y). Let s(r) = 0. Calculate r.
-1, 1
Let z(q) be the third derivative of q**5/60 + q**4/96 - 7*q**2. Factor z(v).
v*(4*v + 1)/4
Suppose 5*u - 3 = 3*m, 6 = 7*u - 5*u. Solve 0*h + 0*h**3 - 4/13*h**2 + 2/13*h**m + 2/13 = 0 for h.
-1, 1
Let f(n) be the third derivative of -n**7/525 + n**6/300 + n**5/75 + n**2. Factor f(z).
-2*z**2*(z - 2)*(z + 1)/5
Suppose -3*x = -x. Suppose -i = -4*v + 20, 3*i + v - 6 + 1 = x. Factor 5/3*r**3 + 0 + 2/3*r**2 + i*r.
r**2*(5*r + 2)/3
Let k(c) be the third derivative of c**7/126 + c**6/45 - c**5/20 - c**4/9 + 2*c**3/9 - 3*c**2. Solve k(j) = 0.
-2, -1, 2/5, 1
Suppose q + 4*r - 8 = -q, -2*r + 10 = 2*q. Suppose 5*u + d - 5*d + q = 0, 0 = -u - 2*d + 10. Factor 6*o - 18*o**3 + 2 + 18*o**2 + 13*o**u - 21*o.
-(o - 1)*(2*o - 1)*(9*o - 2)
Let t(n) be the first derivative of -n**5/25 + 1. Factor t(b).
-b**4/5
Let u be (-9 + 15)*(-154)/51. Let m = u + 3010/153. Find t, given that 10/9*t**2 - 4/9*t - 10/9*t**4 + 0 - m*t**5 + 2*t**3 = 0.
-1, 0, 2/7, 1
Let i(x) = -5*x**2 + 5*x. Let z(b) = -6*b**2 + 6*b. Let a(t) = 3*i(t) - 2*z(t). Factor a(p).
-3*p*(p - 1)
Let q(b) be the first derivative of b**4/3 + b**3/9 + 2. Suppose q(s) = 0. Calculate s.
-1/4, 0
Let y(k) = -k + 4. Let w be y(-3). Suppose -w*q + 12 = 4*l - 3*q, 2*l = -4*q + 12. Factor l*z**5 - 2*z**3 + z**5 + z**5.
2*z**3*(z - 1)*(z + 1)
Let m = -6 + 1. Let f(u) = u**3 - u**2 - u. Let i(d) = -3*d**3 + 6*d**2 + 5*d. Let j(s) = m*f(s) - i(s). Let j(h) = 0. What is h?
-1/2, 0
Suppose -18*u = -13*u - 15. Factor -2/5 - 6/5*d**2 - 2/5*d**u - 6/5*d.
-2*(d + 1)**3/5
Let f(c) = c + 7. Let u be f(-5). Let d = u - 0. Suppose 0*v**5 + 2*v**4 - d*v**5 + 4*v**5 = 0. What is v?
-1, 0
Let u(m) be the second derivative of -m**5/4 + 5*m**3/6 - 16*m. Solve u(x) = 0 for x.
-1, 0, 1
Let l = -2237/9 - -249. Let p be 536/72 - (4 - -3). Let -14/9*h**5 + p*h**2 + 0*h + 0 - l*h**4 + 14/9*h**3 = 0. Calculate h.
-1, -2/7, 0, 1
Let k be 2*1 + (180/66)/(-3). What is c in 26/11*c**2 + 24/11*c + 2/11*c**4 + k*c**3 + 8/11 = 0?
-2, -1
Suppose g = -5*a - 0 - 26, 40 = -4*a + 4*g. Let f be 1 - 4 - 20/a. Factor 1/3 + 0*t - f*t**2.
-(t - 1)*(t + 1)/3
Let c be (-3 + 15/6)*2. Let m(t) = 6*t**3 - 2*t**2 - 2*t. Let j(d) = -d**4 - d**3 + d. Let n(f) = c*m(f) - 2*j(f). Solve n(u) = 0.
0, 1
Determine g, given that -12*g**4 + 8*g + 2*g**5 + 17*g**3 - 39*g**2 + g**3 + 15*g**2 + 8*g**3 = 0.
0, 1, 2
Let l = 9/38 + 5/19. Determine j so that -l*j + 3/4*j**2 - 3/4*j**4 + 1/2*j**3 + 0 = 0.
-1, 0, 2/3, 1
Let i = 1 + 1. Suppose -h + i = -0*h. Solve 12*q**2 - 8*q - 8*q**3 + 2 + 2*q**4 + 3*q**h - 3*q**2 = 0 for q.
1
Let m(y) be the first derivative of y**4/4 - y**3 + y**2 - 7. Find o such that m(o) = 0.
0, 1, 2
Let z(j) = 43*j**2 - 24*j - 19. Let x(t) = -21*t**2 + 12*t + 9. Let r(f) = -13*x(f) - 6*z(f). Determine i, given that r(i) = 0.
-1/5, 1
Suppose -2*m + 2*x = -x - 17, -3*m = 2*x + 7. Let f be ((3/(-9))/(-1))/m. What is n in 0*n - f*n**2 + 2/3*n**3 + 0 - 1/3*n**4 = 0?
0, 1
Let z be 4/(-10) + (-44)/(-10). Find u, given that -12*u**2 + 2*u**3 + 0 + 9*u**z + 6*u + 3 - 8*u**3 = 0.
-1, -1/3, 1
Let l = -1420/9 + 158. Factor -2/9*s**2 - 2/9*s**3 + l + 2/9*s.
-2*(s - 1)*(s + 1)**2/9
Suppose -3*k - 42 = p - 5*k, 141 = -3*p + k. Let c = p + 146/3. Factor 0 + 0*y**2 + 0*y + c*y**5 - 4/3*y**4 + 2/3*y**3.
2*y**3*(y - 1)**2/3
Let h(s) = 10*s**4 + s**3 - s + 4. Let d(i) be the first derivative of 3*i**5/5 + i - 5. Let v(k) = -14*d(k) + 4*h(k). Let v(j) = 0. What is j?
-1, 1
Let b = -60 + 42. Let l(d) = -10*d**4 - 2*d**3 + 8*d**2. Let f(v) be the second derivative of v**6/30 - v**4/12 + 6*v. Let z(x) = b*f(x) - 2*l(x). Factor z(g).
2*g**2*(g + 1)**2
Let y = 1414/9 + -157. Let z(a) be the third derivative of -4*a**2 + 0 - 1/6*a**4 + 0*a - 1/10*a**5 - y*a**3. What is s in z(s) = 0?
-1/3
Let y(l) be the third derivative of -l**7/1260 + l**5/72 - l**3/9 + 35*l**2. Let y(z) = 0. Calculate z.
-2, -1, 1, 2
Let s(y) be the second derivative of -y**7/21 - y**6/5 - y**5/5 + y**4/3 + y**3 + y**2 - 7*y. Factor s(h).
-2*(h - 1)*(h + 1)**4
Let z(j) = -13*j**3 - 25*j**2 + 8. Let i(b) = 66*b**3 + 126*b**2 - 39. Let u(r) = -4*i(r) - 21*z(r). What is t in u(t) = 0?
-2, -1, 2/3
Factor -g**4 + 5*g - 33/4*g**2 - 1 + 5*g**3.
-(g - 2)**2*(2*g - 1)**2/4
Let d = 269 + -8069/30. Let y(j) be the second derivative of -1/90*j**6 + 1/6*j**2 + 3*j - d*j**5 + 0 + 1/9*j**3 + 0*j**4. Factor y(t).
-(t - 1)*(t + 1)**3/3
Let g be ((-1)/3)/((-10)/120). Suppose -t - 5*u - 24 = -g*t, -3*u - 18 = -3*t. Factor 3*n**5 + t*n**3 - 3*n**2 + 3*n**2 + 0*n**3 - 6*n**4.
3*n**3*(n - 1)**2
Let c(t) = -t**3 + t**2 + t + 3. Let q(k) be the first derivative of k**3/3 + k**2/2 + k + 4. Let w(z) = c(z) - 4*q(z). Solve w(p) = 0.
-1
Let u(i) be the third derivative of i**7/2940 - i**6/315 + i**5/105 - i**3/3 + 2*i**2. Let z(j) be t