k**4/16 + k**3/4 - k**2/8 - 3*k/4 + 9. Determine v, given that m(v) = 0.
-3, -1, 1
Suppose -12/5*p**3 + 0 - 9/5*p**5 - 6*p**4 + 0*p + 24/5*p**2 = 0. Calculate p.
-2, 0, 2/3
Let c(q) be the third derivative of q**2 + 0*q**3 + 0*q - 17/120*q**5 - 1/6*q**6 - 4/105*q**7 - 1/24*q**4 + 0. Factor c(g).
-g*(g + 2)*(4*g + 1)**2/2
Let r be 52/(4/16*-2). Let t be 16/(-6)*13/r. Solve t*g**3 - 4/3*g**4 + 0 - 1/3*g + 4/3*g**2 = 0.
-1, 0, 1/4, 1
Suppose 0 = -4*b + 4*u + 8, 5*b - 2*b = 4*u + 6. Suppose 6*r - b*r = 0. Factor 2/3*s**4 + 8/9*s**3 + 0*s + 2/9*s**2 + r.
2*s**2*(s + 1)*(3*s + 1)/9
Suppose -5*u - 6 + 46 = 3*l, 0 = 2*u + l - 15. Let h(f) be the third derivative of 1/40*f**6 + 0*f - 1/8*f**4 + 0 - 1/6*f**3 + 2*f**2 + 1/60*f**u. Factor h(j).
(j - 1)*(j + 1)*(3*j + 1)
Let d(n) = n**2 + 29*n + 166. Let p(i) = 3*i**2 + 86*i + 499. Let c(t) = -8*d(t) + 3*p(t). Solve c(r) = 0 for r.
-13
Let s(o) be the third derivative of 15*o**6/28 - 23*o**5/21 + 19*o**4/21 - 8*o**3/21 - 4*o**2. Factor s(x).
2*(5*x - 2)**2*(9*x - 2)/7
Let z(i) = 7*i**4 + 7*i**3 + 8*i**2 - 8*i + 8. Let j(a) = -a**4 - a**3 - a**2 + a - 1. Let r(t) = 40*j(t) + 5*z(t). Determine x, given that r(x) = 0.
-1, 0
Let w = 87/7 + -37/3. Let t(l) be the first derivative of -2/7*l - 1/14*l**4 + 1/7*l**2 + w*l**3 + 4. Suppose t(x) = 0. What is x?
-1, 1
Let o(l) be the third derivative of -l**5/240 - l**4/96 + l**3/12 + 2*l**2. Solve o(v) = 0.
-2, 1
Solve -1/4*j**2 + 1/2 + 1/4*j = 0.
-1, 2
Let s be -1 + 0 + 2 + -1. Let h(v) be the third derivative of 1/60*v**5 - v**2 - 1/12*v**3 + s*v - 1/160*v**6 + 0 + 1/96*v**4. Factor h(y).
-(y - 1)**2*(3*y + 2)/4
Let q = 7 - 6. Suppose -3*s + b - 6 + q = 0, -5*b = -25. Factor -2/5*v**3 + s*v + 0 + 0*v**2.
-2*v**3/5
Find o, given that 0*o**2 + 2/7*o**4 + 0*o + 2/7*o**5 + 0*o**3 + 0 = 0.
-1, 0
Let s(d) be the third derivative of -d**6/120 + d**5/20 - d**4/24 + d**3/2 + 3*d**2. Let h be s(3). Factor 2/7*k - 2/7*k**3 + h + 0*k**2.
-2*k*(k - 1)*(k + 1)/7
Let q(k) be the third derivative of k**8/252 - k**7/210 - k**6/360 + k**2. Factor q(r).
r**3*(r - 1)*(4*r + 1)/3
Let l(s) be the first derivative of -2*s**3/3 + 6*s**2 - 10*s - 18. Factor l(c).
-2*(c - 5)*(c - 1)
Let b(f) be the first derivative of -f**4/26 + 4*f**3/39 + f**2/13 - 4*f/13 - 21. Factor b(o).
-2*(o - 2)*(o - 1)*(o + 1)/13
Let w(c) be the first derivative of -c**7/14 - c**6/5 - c**5/20 + c**4/4 - c**2 - 3. Let b(j) be the second derivative of w(j). Let b(q) = 0. Calculate q.
-1, 0, 2/5
What is s in 145/3*s**4 + 4 + 235/3*s**2 - 93*s**3 - 25/3*s**5 - 88/3*s = 0?
2/5, 1, 3
Find j, given that 0*j + 1/7*j**2 + 0 = 0.
0
Let g(s) be the third derivative of -s**7/210 - s**6/30 + s**5/10 + s**4/6 - 5*s**3/6 - s**2 + 31. Suppose g(l) = 0. What is l?
-5, -1, 1
Factor -1/3*w + 0 + 5/3*w**2.
w*(5*w - 1)/3
Let i = -3210/19 - -21163/57. Let k = 204 - i. Find n, given that n**5 + 0*n**2 + 2/3*n**3 + 0 + 0*n + k*n**4 = 0.
-1, -2/3, 0
Factor -3/4*u**3 + u + 1/2*u**4 + 0 + 1/4*u**5 - u**2.
u*(u - 1)**2*(u + 2)**2/4
Let s(j) be the first derivative of -15/4*j**2 + 3*j - 3/10*j**5 + 3/8*j**4 + 3/2*j**3 - 1. Find t, given that s(t) = 0.
-2, 1
Let m(x) = 11*x**4 - 11*x**2. Let a(s) = 5*s**4 - 5*s**2. Let g(q) = 13*a(q) - 6*m(q). Factor g(j).
-j**2*(j - 1)*(j + 1)
Suppose 0 = 2*k - 5*w - 25, -3*k = -3*w - 9 - 6. Suppose -4 = -k*q - q. Solve 1/3*v**q - 1/3*v**2 - 1/3*v**3 + 0 + 1/3*v = 0.
-1, 0, 1
Let v = -47 + 49. Let m(d) be the second derivative of 0 + 0*d**3 + 3*d - 1/12*d**4 + 0*d**v. Factor m(w).
-w**2
Suppose 5*u = 2*u + 3. Let a be (-2 - u)*8/(-9). Factor 1/3*f**3 + 4*f - a - 2*f**2.
(f - 2)**3/3
Suppose -d - 32 = -k - 2*k, 0 = 3*d - 2*k + 110. Let f = 40 + d. Find h such that 2/3*h**f + 2/3*h + 0 = 0.
-1, 0
Let s be 9/18 - (2/(-4))/(-1). Factor -1/3*b**3 + 2/3*b**2 + s - 1/3*b.
-b*(b - 1)**2/3
Determine u so that -2/13*u**3 + 0 + 0*u - 6/13*u**2 = 0.
-3, 0
Let v(g) be the second derivative of -1/12*g**3 + 0*g**2 + 0 + 3/16*g**4 - g. Suppose v(m) = 0. What is m?
0, 2/9
Let o be 20/(-6)*(-24)/(-10). Let r be 3/((-6)/o - 0). Determine s so that -2*s**5 - 5*s**2 + 8*s**4 - r*s**4 + s**2 + 2*s = 0.
-1, 0, 1
Let p = 50 + -399/8. Let i(y) be the second derivative of y + 0 + p*y**3 + 1/8*y**2 - 1/48*y**4 - 3/80*y**5. Factor i(g).
-(g - 1)*(g + 1)*(3*g + 1)/4
Factor 4/5*t - 14/5*t**2 - 6/5*t**4 + 0 + 16/5*t**3.
-2*t*(t - 1)**2*(3*t - 2)/5
Find q, given that -8*q**3 - 4*q - 2*q**5 - q**3 + 4*q**3 - 14*q**2 - 10*q**4 - 13*q**3 = 0.
-2, -1, 0
Suppose -1/3*r**3 + 0*r + 0 - 1/3*r**2 = 0. Calculate r.
-1, 0
Suppose -4 = 5*s - 14. Suppose -8*n**s - 7 - 2*n + 7 = 0. Calculate n.
-1/4, 0
Let g(j) be the third derivative of 16*j**7/315 + 2*j**6/45 + j**5/90 + 6*j**2. Let g(q) = 0. What is q?
-1/4, 0
Let n = -106 + 108. Let s(y) be the first derivative of -2 - 12/25*y**5 - 4/5*y**3 + 3/10*y**n + 1/10*y**6 + 0*y + 9/10*y**4. Suppose s(x) = 0. Calculate x.
0, 1
Suppose 25*o**3 - 25*o**3 - o**2 + o**4 = 0. Calculate o.
-1, 0, 1
Let y(p) be the first derivative of 1/12*p**4 - 4/9*p**3 + 5/6*p**2 - 1 - 2/3*p. Factor y(f).
(f - 2)*(f - 1)**2/3
Factor 1/2*s - 1/2*s**2 + 1/2 - 1/2*s**3.
-(s - 1)*(s + 1)**2/2
Let z be (-27)/36 + (-30)/(-8). Factor z*m**4 - 109*m**2 + 0*m**4 + 3*m**3 + 103*m**2.
3*m**2*(m - 1)*(m + 2)
Let y(h) be the second derivative of 5*h**6/3 + h**5/2 - 11*h**4 + 44*h**3/3 - 8*h**2 + 3*h. Let y(b) = 0. What is b?
-2, 2/5, 1
Let b be 23/6 + 280/(-120). Let 6*w**5 - 15/2*w + 3/2 + b*w**3 + 21/2*w**2 - 12*w**4 = 0. Calculate w.
-1, 1/2, 1
Factor -2*b**3 - 25*b**2 - 5*b**3 + 12*b**3.
5*b**2*(b - 5)
Let m(x) = 3*x**4 - 152*x**3 + 1003*x**2 - 2587*x + 1733. Let w(a) = 4*a**4 - 228*a**3 + 1504*a**2 - 3880*a + 2600. Let v(y) = 8*m(y) - 5*w(y). Factor v(k).
4*(k - 6)**3*(k - 1)
Let d(a) be the third derivative of a**8/168 - a**6/15 + a**5/15 + a**4/4 - 2*a**3/3 - 6*a**2. Solve d(s) = 0.
-2, -1, 1
Factor -36/7 + 4/7*r**3 - 4*r**2 + 60/7*r.
4*(r - 3)**2*(r - 1)/7
Let y be (-296)/(-224) - (-20)/(-35). Solve 0 - y*b**3 + 3/4*b + 0*b**2 = 0 for b.
-1, 0, 1
Suppose 6*b = -p + b + 21, -4*p - 3*b - 1 = 0. Let u be (-18)/p*4/6. Let 19*j**3 + 2*j**5 - 5*j**3 + 2 + 10*j + 6*j**u + 10*j**4 + 20*j**2 = 0. What is j?
-1
Let c(h) be the second derivative of h**7/42 - h**6/30 - 7*h**5/10 + h**4/2 + 15*h**3/2 + 27*h**2/2 + 28*h. Suppose c(l) = 0. What is l?
-3, -1, 3
Let l(y) = 295*y**3 - 840*y**2 + 435*y - 50. Let g(j) = 42*j**3 - 120*j**2 + 62*j - 7. Let h(r) = -20*g(r) + 3*l(r). Determine s, given that h(s) = 0.
1/3, 2
Let y(g) = -3*g**3 - 13*g**2 + 49*g - 59. Let x(u) = -4*u**3 - 12*u**2 + 48*u - 60. Let q(r) = 5*x(r) - 6*y(r). Suppose q(v) = 0. What is v?
3
Let b = -186/13 + 29/2. Let u = 4/13 + b. Factor -1/2 + u*p + 1/2*p**2 - 1/2*p**3.
-(p - 1)**2*(p + 1)/2
Factor 0*b - 6/7*b**2 + 0 + 2/7*b**3.
2*b**2*(b - 3)/7
Let h be ((-6)/16)/(3/(-18)). Let b = -24 + 49/2. Find m such that -h*m - b - 7/4*m**2 = 0.
-1, -2/7
Suppose -7*f = -0*f - 28. Let y(x) be the first derivative of -1/6*x**4 - 2/9*x - 5/9*x**2 + f - 14/27*x**3. Suppose y(i) = 0. Calculate i.
-1, -1/3
Find t such that 4*t**2 + 21*t + 16 - 4*t - t = 0.
-2
Let k be -1*((-2)/1 + 2). Let v be (-18)/45 + 22/5. Factor -2/3*p**3 + 2/3*p**v + 0*p + k + 0*p**2.
2*p**3*(p - 1)/3
Suppose -k = k. Solve 3*d**3 + k*d**3 + 0*d - 2*d**2 - d = 0 for d.
-1/3, 0, 1
Let w(r) be the third derivative of -r**6/60 + r**5/30 + r**4/12 - r**3/3 - 25*r**2. Factor w(j).
-2*(j - 1)**2*(j + 1)
Let z(w) be the second derivative of w**6/105 - w**4/42 - 3*w. Factor z(c).
2*c**2*(c - 1)*(c + 1)/7
Let k be 60/(-16) + (-3)/(-4). Let v(g) = g**2 - 3*g + 2. Let c(z) = 2*z**2 - 4*z + 3. Let b(j) = k*v(j) + 2*c(j). What is d in b(d) = 0?
-1, 0
Let w be -1*(-3)/(-27)*-227. Let u = w + -25. Factor -2/9*j**4 + 0 + u*j**3 + 0*j**2 + 0*j.
-2*j**3*(j - 1)/9
Let a(n) = -6*n**3 + n**2 + 37*n - 18. Let i(l) = -2*l**3 + 12*l - 6. Let c(q) = -2*a(q) + 7*i(q). Find j, given that c(j) = 0.
-3, 1
Let g be 3/9*-1*-9. Solve 2*y**5 - 6*y**4 + 2*y**2 + 4*y**g + 0 - 6*y - 2 + 2*y**2 + 4 = 0 for y.
-1, 1
Let g(c) be the second derivative of -c**6/120 - c**5/40 + c**4/4 - c**3 - 7*c. Let x(i) be the second derivative of g(i). Factor x(w).
-3*(w - 1)*(w + 2)
Suppose 3*d - 36 = d. Suppose 4*r - d = r. Determine g, given that -4*g + g**2 - r*g**2 + 3*g*