11*c**3 - 4/11*c**4 + 0*c + 2/11*c**5.
2*c**3*(c - 1)**2/11
Determine v so that -27/7*v**2 + 33/7*v**4 - 3/7*v**3 - 3/7*v + 6/7 + 18/7*v**5 = 0.
-1, 1/2, 2/3
Solve -2*u**2 - 2*u - 4*u + 2 + 6*u = 0 for u.
-1, 1
Let w = -234/5 - -47. Let 2/5*s**2 - w*s**3 + 0 + 0*s = 0. What is s?
0, 2
Let c(w) be the first derivative of -w**3/8 + 9*w**2/16 - 4. Suppose c(d) = 0. Calculate d.
0, 3
Suppose -16 = -5*g + 4*i, g + i = -4 - 0. Factor -3/2*d**5 + 0*d**2 + 3/2*d**3 + 0 + 0*d + g*d**4.
-3*d**3*(d - 1)*(d + 1)/2
Let r(m) = -m**3 - 7*m**2 - m - 4. Let f be (28/8)/((-3)/6). Let u be r(f). Let 0 - 2/5*b**u - 8/5*b - 8/5*b**2 = 0. What is b?
-2, 0
Factor 0 + 3/4*v**2 + 1/4*v**4 + 0*v - v**3.
v**2*(v - 3)*(v - 1)/4
Find z, given that 6*z**3 + 10*z**2 + 15*z**2 - 30*z**2 - z**4 = 0.
0, 1, 5
Let m(l) = 9*l**3 - 15*l**2 + 8*l. Let i(b) = -8*b**3 + 14*b**2 - 8*b. Let y(n) = 7*i(n) + 6*m(n). Factor y(d).
-2*d*(d - 2)**2
Suppose 4*p - 10*p = 21*p. Factor 1/2*t + p - 1/4*t**3 - 1/4*t**2.
-t*(t - 1)*(t + 2)/4
Suppose 42 = 5*r - 23. Solve -17*d**3 - 3*d**5 + 7*d**3 + r*d**3 = 0 for d.
-1, 0, 1
Let b(u) be the second derivative of 5*u**7/84 - u**6/30 - u. Suppose b(q) = 0. What is q?
0, 2/5
Let q be (-84)/(-104) - (-36)/(-117). Factor -q*f**3 + 1/2 + 1/2*f - 1/2*f**2.
-(f - 1)*(f + 1)**2/2
Solve -6 + 4/3*x**2 - 2/3*x**4 + 8*x - 8/3*x**3 = 0.
-3, 1
Let t = -7 + 11. Let h(x) = 3*x**2 + 2*x - 1. Let o(a) = -2*a**2 + 6*a**2 - 3*a**2. Let k(s) = t*o(s) - h(s). Factor k(f).
(f - 1)**2
What is o in -2/3*o**2 - 4/3 - 2*o = 0?
-2, -1
Let b = -2 - -7. Let w(u) be the third derivative of -1/12*u**4 + 0 + 1/60*u**6 + 0*u**b - 2*u**2 + 0*u**3 + 0*u. What is c in w(c) = 0?
-1, 0, 1
Let s = -3 - -5. Let p be (-26)/39 - (-8)/3. Let 13 - 13 + p*t**s = 0. Calculate t.
0
Let y(d) be the third derivative of 2*d**7/735 - d**6/70 + d**5/105 + d**4/14 - 4*d**3/21 + 2*d**2. Factor y(f).
4*(f - 2)*(f - 1)**2*(f + 1)/7
Factor 27 + 9*j + 3/4*j**2.
3*(j + 6)**2/4
Factor 12/7 + 6/7*z**2 - 22/7*z.
2*(z - 3)*(3*z - 2)/7
Let v = 18 - 10. Let j = -6 + v. Let -14*x**j - 8 + 26 + 12*x + 16*x**2 = 0. Calculate x.
-3
Factor 23*y**2 + y + 2 - 24*y**2 + 0.
-(y - 2)*(y + 1)
Determine k, given that 8/7 - 6/7*k**2 + 0*k - 2/7*k**3 = 0.
-2, 1
Let j(h) be the third derivative of 0*h**3 + 1/210*h**7 - 1/60*h**5 + 0*h - 1/120*h**6 + 1/24*h**4 + 0 + 6*h**2. Find d such that j(d) = 0.
-1, 0, 1
Let o(x) be the first derivative of -x**8/504 - x**7/315 + x**6/180 + x**5/90 - 3*x**2/2 - 2. Let t(h) be the second derivative of o(h). Factor t(w).
-2*w**2*(w - 1)*(w + 1)**2/3
Suppose -7*h + 16 = -3*h. Suppose 30 - 10 = h*r. Find g, given that 1/2*g**3 + 1/2*g**2 - 1/4*g - 1/4 - 1/4*g**4 - 1/4*g**r = 0.
-1, 1
Let h(r) be the third derivative of r**5/60 - r**4/12 + r**3/6 - 4*r**2. Determine x, given that h(x) = 0.
1
Let l = 32 - 383/12. Let o(q) be the third derivative of 1/6*q**3 + l*q**4 + 1/60*q**5 + 2*q**2 + 0*q + 0. Factor o(x).
(x + 1)**2
Let i(w) = -7*w**3 - 10*w**2 + 19*w + 17. Let x(a) = 11*a**3 + 16*a**2 - 29*a - 26. Let z(o) = -8*i(o) - 5*x(o). Let z(j) = 0. Calculate j.
-2, -1, 3
Suppose 0 = 3*l - 3, -p = -2*l - 30 - 13. What is c in 49*c**2 + 0*c**4 + 12*c**5 - p*c**2 - 20*c**4 + 4*c**3 = 0?
-1/3, 0, 1
Let c(s) = 12*s**4 - 9*s**3 - 15*s**2 + 15*s. Let n(l) = l**5 - l**2 + l. Let q(b) = -c(b) + 3*n(b). Factor q(f).
3*f*(f - 2)**2*(f - 1)*(f + 1)
Suppose 0 = -4*k + 2*k. Let q(j) be the third derivative of 0*j + 2*j**2 + k + 1/40*j**5 + 0*j**3 - 1/24*j**4. Solve q(x) = 0.
0, 2/3
Let u be 32/14 - 2 - 0. Let t be 8/14 - (-6 + 6). What is p in -t*p**2 - 2/7*p**3 + 0 - u*p = 0?
-1, 0
Let i(d) = d**4 - d**3 + d**2 + d - 1. Let l(j) = 2*j**5 + 4*j**4 - 6*j**3 + 6*j**2 + 6*j - 6. Let h(m) = 6*i(m) - l(m). Factor h(t).
-2*t**4*(t - 1)
Suppose -5*f = -19 - 1. Solve 4*z + 2*z**2 + f + z + z = 0 for z.
-2, -1
Let n(g) = 153*g**2 + 135*g + 15. Let q(r) = 19*r**2 + 17*r + 2. Let d(o) = -4*n(o) + 33*q(o). Let d(p) = 0. What is p?
-1, -2/5
Find r such that -2/3*r**2 + 2/3*r + 4 = 0.
-2, 3
Let j = 16 - 12. Suppose 3*k = v + j, -4*k = -6*v + 2*v - 16. Suppose k*w + 1/3*w**2 + 0 = 0. Calculate w.
0
Let 3*d**4 - 12*d**2 + 3*d + 25 + 5*d - d**4 - 9 - 2*d**3 = 0. Calculate d.
-2, -1, 2
Let u(s) be the third derivative of s**8/1512 - 4*s**7/945 + s**6/135 + s**5/135 - 5*s**4/108 + 2*s**3/27 - 15*s**2. Factor u(v).
2*(v - 2)*(v - 1)**3*(v + 1)/9
Let k = 56 - 37. Let n = 21 - k. Suppose 0 + 0*r**n + 0*r + 1/2*r**4 + r**3 = 0. What is r?
-2, 0
Let i = 403/1580 + -2/395. Factor 1/4*c**3 - 1/4*c**2 + 1/4 - i*c.
(c - 1)**2*(c + 1)/4
Let l(d) = 2*d**2 - 18*d + 10. Let k(o) = -o + 1. Let q(g) = -10*k(g) + l(g). Factor q(p).
2*p*(p - 4)
Suppose 10 = -2*a - 5*c + 3*c, -3*a + 4*c = -20. Let m(h) be the third derivative of 0*h + 1/120*h**5 + a + 0*h**3 + h**2 + 1/48*h**4. Factor m(q).
q*(q + 1)/2
Let c(l) = l - 7. Let u be c(-5). Let b = u + 14. Suppose -2/3 + 2/3*d**b - 2/3*d**3 + 2/3*d = 0. Calculate d.
-1, 1
Suppose 0 = -15*m + 12*m + 6. Let d = 121 - 603/5. Find g such that 0*g - d + 2/5*g**m = 0.
-1, 1
Let r(v) be the second derivative of -v**6/6 + 7*v**5/20 - v**4/6 - 9*v. Find g such that r(g) = 0.
0, 2/5, 1
Let c = -22 + 30. Suppose 3*k = c + 1. Find s, given that 2/5*s + 2*s**2 + 6/5*s**k - 2/5 = 0.
-1, 1/3
Let h(l) = l**2 - 20*l - 153. Let i be h(26). Factor 0 + 0*c**2 - 2/11*c**5 + 0*c + 0*c**i - 2/11*c**4.
-2*c**4*(c + 1)/11
Let s(p) be the third derivative of 0 + 0*p**4 - 1/360*p**6 + 0*p**5 + 1/6*p**3 - 3*p**2 + 0*p. Let o(c) be the first derivative of s(c). Factor o(r).
-r**2
Let i(j) be the first derivative of -8/25*j**5 - 5 + 0*j + 1/5*j**2 - 8/15*j**3 + 1/15*j**6 + 3/5*j**4. Factor i(m).
2*m*(m - 1)**4/5
Let m(x) = -10*x**2 - 41*x - 31. Let w(r) = 2*r**2 + 8*r + 6. Let g(j) = 4*m(j) + 22*w(j). Find v such that g(v) = 0.
-2, -1
Let q(b) be the first derivative of b**4/22 + 8*b**3/33 + 5*b**2/11 + 4*b/11 + 8. What is n in q(n) = 0?
-2, -1
Let x = 1/58810 - -19642449/5351710. Let w = x - 44/13. Determine c, given that 0*c + 4/7*c**4 - 2/7*c**5 + 0*c**2 + 0 - w*c**3 = 0.
0, 1
Let f(a) be the second derivative of -8/9*a**4 + a**3 + 7/15*a**5 + a + 0 - 2/3*a**2 + 1/63*a**7 - 2/15*a**6. What is y in f(y) = 0?
1, 2
Let w = 3337/4 + -830. Factor -128*i**4 - 28*i**2 - 1/4 + 88*i**3 + w*i + 64*i**5.
(i - 1)*(4*i - 1)**4/4
Suppose 0 = -0*t + 2*t - 10. Let f = -3 + t. Factor -7 + f*j**2 + 7 + j**3.
j**2*(j + 2)
Let -2/15*d**4 - 36/5*d**2 - 72/5*d - 54/5 - 8/5*d**3 = 0. Calculate d.
-3
Let p(l) be the second derivative of -l**5/50 - 2*l**4/15 + 11*l**3/15 - 6*l**2/5 - 2*l + 20. Let p(m) = 0. What is m?
-6, 1
Let q(b) be the third derivative of 2*b**5/105 + b**4/28 + b**2. Factor q(y).
2*y*(4*y + 3)/7
Let i(x) = -8*x**2 - 112*x + 224. Let g(d) = -d**2 - 16*d + 32. Let p(y) = -44*g(y) + 6*i(y). Let p(q) = 0. What is q?
4
Let p(z) be the second derivative of 1/60*z**4 + 2*z - 1/100*z**5 + 0*z**2 - 1/150*z**6 + 1/30*z**3 + 0. Factor p(h).
-h*(h - 1)*(h + 1)**2/5
Let s = -93 - -93. Let -1/2*u**2 + 1/2*u + s = 0. What is u?
0, 1
Let q = 17 + -15. Let y be (-1)/(-1) + (-3)/(-1). Determine s so that 4*s**q - s**2 - y*s**2 = 0.
0
Factor -16/7 - 32/7*g**2 + 60/7*g - 12/7*g**3.
-4*(g - 1)*(g + 4)*(3*g - 1)/7
Let y(v) = -14*v**2 - 10*v - 8. Let s(b) = -b**2 - 1. Let w(d) = d**2 - 9*d - 4. Let n be w(10). Let l(t) = n*s(t) - y(t). Let l(c) = 0. What is c?
-1, -1/4
Let p(s) = -19*s**4 + 72*s**3 - 108*s**2 - 7*s. Let l(n) = 13*n**4 - 48*n**3 + 72*n**2 + 5*n. Let a(h) = -7*l(h) - 5*p(h). Suppose a(x) = 0. What is x?
0, 3
Let 199*h - 207*h - 2 - 2 - 4*h**2 = 0. What is h?
-1
Let q(p) be the third derivative of p**8/672 - p**6/80 - p**5/60 + 12*p**2. Determine l, given that q(l) = 0.
-1, 0, 2
Let u(l) = -l**3 - 8*l**2 + 3*l - 52. Let n be u(-9). Let 0 + 1/2*g**n - 1/4*g - 1/4*g**3 = 0. Calculate g.
0, 1
Let n = 6 - 10. Let w be n/(-12)*4 - -2. Solve w*l**2 - 4/3*l + 0 = 0.
0, 2/5
Let t be -8 + 44/6 + (-1)/(-1). Let l(k) be the first derivative of k**2 + k + t*k**3 + 3. Factor l(p).
(p + 1)**2
Let 5/4*g + 1/4*g**3 - g**2 - 1/2 = 0. Calculate g.
1, 2
Let w(f) be the first derivative of -f**6/900 - f**3 + 3. Let v(g) be the third derivative of w(g). Find l, given that v(l) = 0.
0
Let v(z) be the first derivative of z**3/8 + 3*z**2/8 - 9*z/8 - 12. Suppose v(s