(s) + v(s). Let b(a) = 0. What is a?
-2, 0
Let z = -12 + 0. Let d be (z/(-9))/((-6)/(-9)). Find g such that -1/4*g**3 + 1/4*g + 1/4*g**4 - 1/4*g**d + 0 = 0.
-1, 0, 1
Factor -6/5*n - 2/5*n**2 + 8/5.
-2*(n - 1)*(n + 4)/5
Let v(l) be the third derivative of l**6/1080 + l**5/180 + l**4/72 + l**3/3 + 3*l**2. Let f(b) be the first derivative of v(b). Factor f(j).
(j + 1)**2/3
Suppose -6 = -2*l - 4*m, -8 = -4*l - 3*m + 9. Factor -2/5*q**4 + 2/5*q**2 + 2/5*q**3 - 2/5*q**l + 0 + 0*q.
-2*q**2*(q - 1)*(q + 1)**2/5
Suppose -i - i + 42 = 0. Find j such that -6*j**2 + 3 + 12*j - i*j - 6 = 0.
-1, -1/2
Let -22*k + 8*k**3 - 69*k**3 + 5*k**3 - 72*k**2 - 18*k**4 - 2*k**5 - 10*k = 0. Calculate k.
-4, -2, -1, 0
Let f(a) be the third derivative of a**8/84 + 2*a**7/21 + 4*a**6/15 + 4*a**5/15 - 13*a**2. Suppose f(q) = 0. What is q?
-2, -1, 0
Let u(w) = w**3 - w**2 - w - 1. Let x = -5 - -7. Let y be u(x). Factor 6*a**2 - 3 + 2*a - 2*a**3 + 0 - y - 2*a**4.
-2*(a - 1)**2*(a + 1)*(a + 2)
Find g, given that -15/2*g**2 + 3/4*g**3 + 0 + 27/4*g = 0.
0, 1, 9
Let g(s) be the third derivative of s**8/1512 + 4*s**7/945 + s**6/180 - 2*s**5/135 - s**4/27 - 55*s**2. Solve g(o) = 0 for o.
-2, -1, 0, 1
Let j = -464/9 + 52. Let c = -13 - -119/9. Factor -j - 2/9*r + c*r**2.
2*(r - 2)*(r + 1)/9
Let i(x) = -x + 1. Let n be i(-2). Let f be 12/(-27)*255/(-10). Let -2/3*c**2 - 14/3*c - 2/3*c**4 - 20/3*c**5 + f*c**n + 4/3 = 0. What is c?
-1, 2/5, 1/2, 1
Factor 0 + 0*d - 2/11*d**2.
-2*d**2/11
Let j be 2*3/(-36) - (-12)/8. What is c in -j*c**2 + 4/3 - 2/3*c + 2/3*c**3 = 0?
-1, 1, 2
Suppose -5*z + 1 = -2*c, -3*c - z + 5*z + 2 = 0. Let s be (1 - 0)/((-5)/(-4)). Determine k so that -2/5 - 2/5*k**c - s*k = 0.
-1
Let f = 25704008/195 - 131815. Let o = -1/39 + f. What is p in -o*p**2 + 0 + 0*p = 0?
0
Let n = 126 + -123. Let j(t) be the third derivative of 25/21*t**7 - 5/2*t**6 + 0 - t**2 - 2/3*t**4 + 0*t + 0*t**n + 2*t**5. Factor j(k).
2*k*(5*k - 2)**3
Let z = 4 + 0. Suppose 2*p = p + z. Factor 0*u**4 + u**3 - 2*u**p + u**3.
-2*u**3*(u - 1)
Let c(f) be the second derivative of -f**7/231 - 2*f**6/165 - f**5/110 - 8*f. Determine j, given that c(j) = 0.
-1, 0
Let u(j) be the third derivative of j**7/420 - j**5/60 + j**3/12 + 9*j**2. Let u(r) = 0. Calculate r.
-1, 1
Let u(v) be the second derivative of 0*v**5 + 0*v**4 + 0*v**3 + 0*v**2 + 1/15*v**6 + v + 0 + 4/21*v**7. Determine t so that u(t) = 0.
-1/4, 0
Let p = 20 - 17. Let d(t) be the first derivative of -1 - 2/3*t + 2*t**4 - 23/9*t**p + 16/15*t**5 - 5/2*t**2. What is w in d(w) = 0?
-2, -1/4, 1
Let a(b) = b**4 - b**2 - 1. Let n = -2 + 4. Let q(z) = 0*z + 10*z**3 - 12*z**3 - z**2 + 2*z**4 + n*z - 2. Let c(u) = -2*a(u) + 2*q(u). Factor c(w).
2*(w - 1)**3*(w + 1)
Let g(q) be the third derivative of -q**5/120 - q**4/24 - q**3/12 + 7*q**2. Let g(a) = 0. What is a?
-1
Let k(t) = -t + 11. Suppose 34 = 4*f + 2. Let b be k(f). Let 2*h**2 + 0*h**2 - 12*h**3 + b*h**3 = 0. What is h?
0, 2/9
Suppose -4*j + c + 10 = 3*c, -2*c + 10 = -5*j. Let p be 5 + 1 + 1*-1. Factor j - p*h + 4*h**2 + 2*h - 1.
(h - 1)*(4*h + 1)
Let m be ((-6)/9)/((-1)/18). Let h = -9 + m. Factor 0 - 4/5*x**4 + 0*x**h - 2/5*x + 2/5*x**5 + 4/5*x**2.
2*x*(x - 1)**3*(x + 1)/5
Let t be (3/9)/((-1)/(-12)) + -4. Let b(m) be the third derivative of 1/240*m**5 + 1/96*m**4 - 1/480*m**6 + 4*m**2 - 1/24*m**3 + t*m + 0. Factor b(g).
-(g - 1)**2*(g + 1)/4
Suppose 4*o - 3 = -5*r - 0*r, 12 = -4*o. Determine j, given that -10/9*j**r + 2/9*j**4 - 8/9*j + 16/9*j**2 + 0 = 0.
0, 1, 2
Let l be (-6)/(-33) + (-2)/(-132)*76. Factor -2/3*k + 0 + l*k**2.
2*k*(2*k - 1)/3
Let r(d) be the third derivative of 2*d**6/15 - 13*d**5/15 + d**4/2 - d**2. Determine m, given that r(m) = 0.
0, 1/4, 3
Let l(m) = -5*m**4 + 8*m**3 + 7*m**2 - 10*m - 4. Let v(y) = y**4 - y**3 + y**2 - y - 1. Let x(j) = l(j) - 4*v(j). Factor x(p).
-3*p*(p - 1)**2*(3*p + 2)
Let y(t) be the second derivative of t**7/42 - t**6/30 - 3*t**5/20 + t**4/12 + t**3/3 - 29*t. Solve y(c) = 0 for c.
-1, 0, 1, 2
Determine s so that -2/9*s + 2/3*s**2 + 2/9*s**3 - 2/3 = 0.
-3, -1, 1
Suppose -23 - 17 = -20*b. Let -1/4*o**b + 1/4 + 0*o = 0. What is o?
-1, 1
Factor 10/3*n**2 + 2/3*n**4 - 4/3*n - 8/3*n**3 + 0.
2*n*(n - 2)*(n - 1)**2/3
Let o be -7*(-6 + 240/42). Factor 0*k**o - 1/2*k**3 + 0*k + 0.
-k**3/2
Let t(a) be the second derivative of -a**4/30 + a**3/5 - 2*a**2/5 - 5*a. Suppose t(n) = 0. Calculate n.
1, 2
Let m = 5 + -8. Let t be (-1 - (-2 - m))/(-1). Determine v so that -2 + 2 - 2*v**3 + 2*v**t = 0.
0, 1
Let j(r) = -8 - 9*r**3 - 8*r + r**3 - 8*r**2 - 2*r**4 + 2*r**2. Let q(i) = -i**3 - i**2 - i - 1. Let v(n) = -j(n) + 8*q(n). Factor v(d).
2*d**2*(d - 1)*(d + 1)
Factor 4*h**3 + 20*h - 10*h + 6*h**2 + 4 - 2*h**4 - 6*h**3.
-2*(h - 2)*(h + 1)**3
Let v be ((-1)/2)/((-3)/18*1). Let d(c) be the first derivative of -1/9*c**v + 0*c + 1 + 0*c**4 + 0*c**2 + 1/15*c**5. Factor d(o).
o**2*(o - 1)*(o + 1)/3
Let l = 113/292 + -24055/18396. Let d = 8/7 + l. Find f such that 0 - 2/9*f**2 + d*f = 0.
0, 1
Let k(a) be the first derivative of a**6/15 - 2*a**5/25 - 3*a**4/5 - 4*a**3/15 + a**2 + 6*a/5 - 15. Factor k(g).
2*(g - 3)*(g - 1)*(g + 1)**3/5
Let b(k) = k**3 + k + 4. Let g be b(0). Factor c**3 + g*c - 2 - 4*c - 3*c + 0*c.
(c - 2)*(c + 1)**2
Let r(w) be the third derivative of 1/35*w**7 + 0*w + 0*w**6 - 1/112*w**8 - 1/10*w**5 + 0 + 4*w**2 + 1/8*w**4 + 0*w**3. Factor r(l).
-3*l*(l - 1)**3*(l + 1)
Let q(b) be the third derivative of 1/60*b**5 - 1/60*b**6 + 0*b - 1/6*b**3 - 9*b**2 + 1/12*b**4 + 0. Solve q(v) = 0 for v.
-1, 1/2, 1
Solve -152*s**4 - 23*s**2 + 115*s**5 + 93*s**3 - 94*s + 96*s - 35*s**5 = 0 for s.
0, 1/4, 2/5, 1
Let k(a) = -7*a**3 - 13*a**2 - 13*a - 7. Let j(b) = 8*b**3 + 14*b**2 + 14*b + 8. Let r(o) = 4*j(o) + 5*k(o). Determine v so that r(v) = 0.
-1
Let w(n) be the first derivative of -2*n**5/45 - 7*n**4/18 - 10*n**3/9 - 13*n**2/9 - 8*n/9 + 2. Factor w(m).
-2*(m + 1)**3*(m + 4)/9
Suppose 0 = 2*r - 5*w - 39 - 15, 2*r - w = 62. Factor 2*z**4 - 32 + r - 2*z**2.
2*z**2*(z - 1)*(z + 1)
Let j(k) be the second derivative of k**7/14 - k**6/5 - 3*k**5/20 + k**4/2 + 4*k. Suppose j(q) = 0. What is q?
-1, 0, 1, 2
What is d in 9/2 + 3/2*d**2 - 6*d = 0?
1, 3
Let y(m) be the second derivative of m**7/5040 - m**6/1440 - m**5/120 + m**4/6 + m. Let l(w) be the third derivative of y(w). Let l(a) = 0. What is a?
-1, 2
Let c(w) = -4*w**2 + 17*w + 12. Let s(k) = k**2 - 4*k - 3. Let p(b) = 2*c(b) + 9*s(b). Suppose p(u) = 0. Calculate u.
-1, 3
Factor -9*c**4 + 1964*c**3 - 72*c - 1982*c**3 + 84*c**2 + 3*c**5 + 0*c**5.
3*c*(c - 2)**3*(c + 3)
Let k be (3 - -1) + (-8 - -8). Let h(r) be the first derivative of -1 + 3/2*r**2 - r**3 + 1/4*r**k - r. Factor h(v).
(v - 1)**3
Determine w so that 0 - 14/11*w + 2/11*w**2 = 0.
0, 7
Let f = 11 - 7. Suppose -f*d = q - 21, 6 + 10 = q + 3*d. Solve 14*j - q - 5 - 14*j**3 + 10*j**4 + 2 - 6*j**2 = 0.
-1, 2/5, 1
Suppose -2*x = -0*x. Let v be (-3)/(-9)*-2 - -1. Determine l so that -1/3*l**2 + x*l + v = 0.
-1, 1
Let p = 152 - 303/2. Factor -2*g**2 + 1/2*g - 2*g**4 + 0 + p*g**5 + 3*g**3.
g*(g - 1)**4/2
Let m(x) be the second derivative of -27*x**5/80 + 5*x**4/4 - 13*x**3/8 + 3*x**2/4 + 8*x. Factor m(o).
-3*(o - 1)**2*(9*o - 2)/4
Let j(o) be the first derivative of -o**5/40 + 5*o**3/24 - o/2 + 11. Solve j(b) = 0 for b.
-2, -1, 1, 2
Suppose 3*o = 7*o - 16. Let v(l) be the first derivative of -l**3 - o - 3/2*l**2 + 6*l. Factor v(z).
-3*(z - 1)*(z + 2)
Suppose 2*a - 2 = -22. Let n be 4/a - 8/(-20). Suppose 1/2*z**3 + 0*z + n*z**2 + 3*z**4 + 0 + 9/2*z**5 = 0. What is z?
-1/3, 0
Factor 7/2*f**2 + 15*f + 4.
(f + 4)*(7*f + 2)/2
Let s(w) be the second derivative of w**7/21 - w**6/15 - w**5/10 + w**4/6 - 37*w. Find h, given that s(h) = 0.
-1, 0, 1
Let o(z) be the first derivative of 2*z**3/9 + 4*z**2/3 + 8*z/3 + 22. Factor o(l).
2*(l + 2)**2/3
Suppose 0*d = -5*d + 15. Suppose -5*n - 2*t = -12 - 5, -12 = -3*n - d*t. Let 10/3*y**n + 10/3*y**2 + 5/3*y**4 + 1/3*y**5 + 5/3*y + 1/3 = 0. What is y?
-1
Let g(z) be the first derivative of -3*z**6/100 + z**5/50 + z**4/12 + z**3/15 - z**2/2 - 2. Let i(q) be the second derivative of g(q). Solve i(h) = 0 for h.
-1/3, 1
Let a(b) be the first derivative of -b**5/5 - b**4/6 + 4*b**3/9 + b**2/3 - b/3 + 20. Solve a(o) = 0 for o.
-1, 1/3, 1
Let p