 - 8/5*w**3 - 7/6*w**6 + 24/25*w**5 + 0*w + 2/5*w**2. Suppose k(j) = 0. Calculate j.
-1, 0, 2/7, 2/5, 1
Let b be (-6)/(2 + (-65)/20). Let d(q) be the first derivative of -b*q**5 - 4*q + 28/3*q**3 + 3*q**6 - q**2 + 4 - 4*q**4. What is j in d(j) = 0?
-1, -1/3, 2/3, 1
Let i be 3 + 4/4 - 3. Let d(j) be the first derivative of -i + 0*j + j**5 + j**2 - 2*j**4 + 1/3*j**3. Factor d(b).
b*(b - 1)**2*(5*b + 2)
Let t = 25/21 - 277/231. Let u = 934/1155 + t. Solve -14/5*m**2 + u*m + 0 = 0 for m.
0, 2/7
Suppose -8*b + 9*b = 37. Let y = -37 + b. Factor -1/3*o + 0*o**2 + y + 1/3*o**3.
o*(o - 1)*(o + 1)/3
Let t(d) = 6*d**2 - 6*d + 5. Let w(v) = -7*v**2 + 7*v - 6. Let l be (-8 - -5) + 8/1. Let g(a) = l*w(a) + 6*t(a). Determine b so that g(b) = 0.
0, 1
Let w be (-1)/(-2) - 17/2. Let k be ((-2)/w)/((-24)/(-32)). Factor k*j**3 + 0*j**2 + 1/3*j**5 + 0 + 2/3*j**4 + 0*j.
j**3*(j + 1)**2/3
Let q(b) = b**3 + 19*b**2 + 69*b - 12. Let i be q(-14). Solve 8/5 + 2/5*u**3 + 16/5*u + i*u**2 = 0 for u.
-2, -1
Let v(a) be the first derivative of a**6/39 + 34*a**5/65 + 47*a**4/13 + 380*a**3/39 + 161*a**2/13 + 98*a/13 + 27. Factor v(q).
2*(q + 1)**3*(q + 7)**2/13
Let x be (30/(-33))/5 - (-246)/264. Suppose 1/4*q**3 + 1/4*q**4 - 1/2 - x*q**2 - 5/4*q = 0. Calculate q.
-1, 2
Find c, given that 25/2*c**2 - 8*c + 2 - 19/2*c**3 - 1/2*c**5 + 7/2*c**4 = 0.
1, 2
Let z(n) be the third derivative of -1/16*n**4 + 1/6*n**3 + 1/120*n**5 + n**2 + 0 + 0*n. Suppose z(d) = 0. What is d?
1, 2
Let k(v) = 5*v**4 - 4*v**3 - 4*v**2. Let g(a) = -a**4 + a**3 + a**2. Let l(c) = -4*g(c) - k(c). Let l(o) = 0. Calculate o.
0
Suppose -2*h + g - 5 = 2*h, 0 = -5*h - g - 13. Let d be 1/h - 20/(-8). Determine f, given that 0 + 0*f + 3/4*f**3 - f**4 + 1/4*f**d = 0.
-1/4, 0, 1
Let h be (-59)/(-295)*5/3. Factor 2/3*b**2 - 2/3 + 1/3*b - h*b**3.
-(b - 2)*(b - 1)*(b + 1)/3
Let c(n) be the first derivative of -8*n**6/45 + 12*n**5/25 - 11*n**4/30 + n**2/15 + 14. Solve c(y) = 0 for y.
-1/4, 0, 1/2, 1
Let s be (6/(-4))/((-2)/(-28)). Let c be s/(-12) - (-2)/8. Factor 4*t**4 - t**5 + 0*t**5 - t**3 - c*t**4.
-t**3*(t - 1)**2
Let x = 97/150 + -12/25. Let c(d) be the second derivative of d + 0 + 0*d**2 + 1/3*d**3 - x*d**4. Factor c(r).
-2*r*(r - 1)
Let h = 2 + 10. Suppose f + h = 5*f. Factor 0 - 9/2*o**2 + 3/2*o**f + 3*o.
3*o*(o - 2)*(o - 1)/2
Let l(g) be the third derivative of 3*g**7/70 + g**6/8 + g**5/20 - g**4/8 + g**2. Factor l(d).
3*d*(d + 1)**2*(3*d - 1)
Let v(t) = t - 2. Let m = 9 - 7. Let w be v(m). Factor 0*j**2 + 0*j**4 + 0*j + w - 2/9*j**3 + 2/9*j**5.
2*j**3*(j - 1)*(j + 1)/9
Let s = 6 - 2. Factor -5*h**3 + 3*h - 10*h**2 - 2*h**2 + 12*h**s + 2*h**3.
3*h*(h - 1)*(h + 1)*(4*h - 1)
Suppose q - 5*k - 2 = -6*k, 14 = 4*q - 2*k. Factor 2/11*l**4 + 0*l**2 + 4/11*l - 2/11 - 4/11*l**q.
2*(l - 1)**3*(l + 1)/11
Let p(v) be the second derivative of v**5/4 + 5*v**4/4 + 5*v**3/3 - 24*v. Factor p(c).
5*c*(c + 1)*(c + 2)
Let z be ((-470)/(-78) + -6)*96. Factor 0 - 8/13*l - 14/13*l**3 - z*l**2.
-2*l*(l + 2)*(7*l + 2)/13
Let u(x) = -1. Let z(d) = 2*d**2 + 8*d + 3. Let l(v) = 3*u(v) + z(v). Let l(w) = 0. Calculate w.
-4, 0
Let d be 1 + 6/(-8) - (-81)/252. Suppose -4/7 + d*k**2 - 2/7*k**3 + 2/7*k = 0. Calculate k.
-1, 1, 2
Let c(p) be the second derivative of 3/20*p**5 - 1/2*p**3 + 0 + 0*p**2 + 0*p**4 - 2*p. Factor c(i).
3*i*(i - 1)*(i + 1)
Let w(d) be the first derivative of d**6/5 + 38*d**5/25 + 9*d**4/2 + 98*d**3/15 + 24*d**2/5 + 8*d/5 - 13. What is t in w(t) = 0?
-2, -1, -1/3
Let b = 24 - 24. Suppose 2*f + b = 6. Factor 1/3*i + 0 + 1/3*i**f - 2/3*i**2.
i*(i - 1)**2/3
Let a = 8 + -3. What is h in -286*h**2 + 373*h**3 + 294*h**4 - 16 - 343*h**a - 114*h**3 + 84*h + 8 = 0?
-1, 2/7, 1
Factor 2*h**3 - h**2 - 35*h + 4*h**2 + h**3 - 3 + 32*h.
3*(h - 1)*(h + 1)**2
Let b(j) be the second derivative of -j**6/180 - j**5/30 + j**4/4 - 5*j**3/6 - 3*j. Let s(f) be the second derivative of b(f). Factor s(v).
-2*(v - 1)*(v + 3)
Let y(t) be the first derivative of 3*t**5/5 - 15*t**4/4 - 7*t**3 + 15*t**2/2 + 18*t + 30. Solve y(h) = 0.
-1, 1, 6
Let c = 1283/9 + -427/3. Determine q so that 4/9*q + c*q**2 + 2/9 = 0.
-1
Let g(h) = 8*h - 78. Let n be g(10). What is u in -3/4*u**3 + 1/2*u**n + 0 + 0*u - 1/2*u**4 = 0?
-2, 0, 1/2
Let q(j) = -j - 3. Let g be q(-7). Factor -3*k**3 + g + 6*k**2 + 3*k**4 - 9*k**2 + 3*k - 4.
3*k*(k - 1)**2*(k + 1)
Let 4/5*t + 0 + 2/5*t**2 = 0. Calculate t.
-2, 0
Let a be ((-42)/56)/((-2)/8). Let v(m) be the second derivative of -2/3*m**2 + 5/18*m**4 - 1/15*m**5 + 0 - a*m - 1/9*m**3. Factor v(y).
-2*(y - 2)*(y - 1)*(2*y + 1)/3
Let q = -5 - -5. Determine r, given that r**4 - r + q*r**4 + 2 + 9*r**3 - 3*r**2 - 8*r**3 = 0.
-2, -1, 1
Suppose 5*c - 12 - 3 = 0. Suppose 5 = c*x - 1. Factor 0*d**x - 4/3*d**4 + 0 + 0*d - 2/3*d**3 - 2/3*d**5.
-2*d**3*(d + 1)**2/3
Let z(n) = 4*n**3 - 2*n**2 + 2*n - 1. Let y be z(1). Factor -55*i**4 + 57*i**4 + i**2 - y*i**2.
2*i**2*(i - 1)*(i + 1)
Let o(j) be the third derivative of -j**7/1260 - j**6/180 - j**5/60 - j**4/36 - j**3/36 - 10*j**2. Factor o(k).
-(k + 1)**4/6
Let g be 8/2 - (9/6 - 0). Suppose -u + 0 - g*u**2 = 0. What is u?
-2/5, 0
Let b(t) = -t**2 - 8*t - 6. Let p be b(-6). Let a = -3 + p. Let -2*l**3 - 5*l - l**5 + 5*l + a*l**5 = 0. Calculate l.
-1, 0, 1
Let l(t) be the first derivative of 3*t**5/5 + 15*t**4/28 - 37*t**3/7 + 93*t**2/14 - 18*t/7 - 12. Determine u so that l(u) = 0.
-3, 2/7, 1
Factor -9/4*x + 0 - 3/4*x**4 - 15/4*x**3 - 21/4*x**2.
-3*x*(x + 1)**2*(x + 3)/4
Suppose 3*w = -9, 0*w - w = -5*v - 17. Let n be 2/(-5)*v/8. Suppose -4/5 - n*c**2 + 4/5*c = 0. Calculate c.
2
Let z(h) be the first derivative of -28*h**5/5 - 2*h**4 + 112*h**3/3 + 16*h**2 + 29. Let z(u) = 0. What is u?
-2, -2/7, 0, 2
Let j(q) = q**2 - q + 1. Let c = -3 - -12. Let a(d) = -d**2 - 2*d**2 + 0*d + 1 - 7 + c*d. Let n(b) = a(b) + 6*j(b). Factor n(r).
3*r*(r + 1)
Let g(p) be the third derivative of p**5/480 - p**4/96 + p**3/48 + p**2. Factor g(o).
(o - 1)**2/8
Let f(v) = 0*v + v - 1 + 0*v. Let z be f(3). Determine y so that 4*y**2 - 4*y**3 + y**4 + 3*y**3 - z*y**4 + y**5 - 3*y**2 = 0.
-1, 0, 1
Let i = -11/2 - -63/10. Let x be (-8)/(-15)*27/12. Factor -2/5*j**2 + 2/5*j + 2*j**4 - i*j**5 + 0 - x*j**3.
-2*j*(j - 1)**3*(2*j + 1)/5
Let y(v) be the third derivative of v**6/480 - v**5/80 + v**3/6 + 22*v**2. Factor y(w).
(w - 2)**2*(w + 1)/4
Let v(s) = -s**2 - 6*s - 1. Let p be v(-5). Let t(m) be the first derivative of 0*m - 2 - 1/10*m**p - 2/15*m**3 + 2/5*m**2. Determine w so that t(w) = 0.
-2, 0, 1
Suppose 52*k = 39*k + 52. Suppose 8/5*p**k - 2/5*p + 2/5*p**3 + 0 - 8/5*p**2 = 0. What is p?
-1, -1/4, 0, 1
Let q(u) = u**2 + u - 1. Suppose -5*m + 5*z = z + 35, -m + 4*z - 23 = 0. Let b(s) = -2*s**2 - 2*s + 1. Let g(k) = m*q(k) - b(k). Suppose g(d) = 0. What is d?
-2, 1
Let l(n) = n**2 + 12*n - 13. Let t be -11 - (3 + 3)/3. Let v be l(t). Factor -2/5*b**3 - 1/5*b**4 + v*b + 0 - 1/5*b**2.
-b**2*(b + 1)**2/5
Let b(o) be the first derivative of 2/25*o**5 - 1/10*o**2 - 2/15*o**3 - 2 + 0*o + 0*o**4 + 1/30*o**6. Factor b(g).
g*(g - 1)*(g + 1)**3/5
Suppose 3*u - 2*h - 71 = 0, 3*h = -2*u - h + 26. Suppose 15 + 0 = 3*k. Factor 6*b + u*b**2 + 10*b + 5*b**4 + 2 - k*b + 17*b**3.
(b + 1)**3*(5*b + 2)
Let g = -2 + 5. Suppose -g*n**4 - 3*n**3 + 3*n**5 - n**3 + n**3 + 3*n**2 = 0. Calculate n.
-1, 0, 1
Let r(b) = 15*b**3 + 92*b**2 + 103*b + 77. Let u(q) = 5*q**3 + 31*q**2 + 34*q + 26. Let m(p) = 6*r(p) - 17*u(p). What is z in m(z) = 0?
-2, -1
Factor -6*s + 3 - 3 + 9*s**3 + 15*s**2.
3*s*(s + 2)*(3*s - 1)
Let j = -1/75 - 6/175. Let g = j + 23/42. Suppose y + g*y**2 + 1/2 = 0. What is y?
-1
Let v(d) = -14*d**2 - 2*d. Let w(p) be the third derivative of 0*p**3 - 1/24*p**4 + 0 - 4*p**2 - 3/20*p**5 + 0*p. Let s(k) = 5*v(k) - 8*w(k). Factor s(f).
2*f*(f - 1)
Suppose -2*g - 2*g = 4*q, 0 = 5*g + q - 4. Let n = 1 + g. Find z such that -1/3*z**n + 2/3 + 1/3*z = 0.
-1, 2
Suppose -5*w + 6 + 4 = 0. Factor 3*q + 0 - q**w - 8*q**2 + 3*q**3 + 6*q - 3.
3*(q - 1)**3
Let k(f) = f**2 + 38. Let b be k(0). Let y = b + -75/2. Find z such that -y + 1/2*z**2 + 0*z = 0.
-1, 1
Let d(m) be the third derivative of m**7/1680 - m**6/320 + m**5/480 + m**4/64 - m**3/24 - 4*m**2. Factor d(v).
(v - 2)*(v - 1)**2*(v + 1)/8
Factor -4/3*l**3 + 4/3*l + 2/3*l**2 + 0 - 2/3*l**4.
-2*