*2 + 0*a + 4*a + 4*a.
-a*(a - 1)*(3*a + 2)**3
Suppose 3*x + 8 = x. Let j = -1 - x. Let n - 39*n**j + 36*n**2 - 3*n**5 + 14*n**4 - 13*n + 4*n**4 = 0. What is n?
0, 1, 2
Let t = 1603/5 - 320. Let r(a) = 2*a**2. Let g be r(-1). Factor 6/5*h + t*h**g + 3/5.
3*(h + 1)**2/5
Let q be (-3)/(-2 - 50/(-28)). Let -18*o + 76*o**2 - 16 - 34*o**3 + 6*o**3 - q*o = 0. Calculate o.
-2/7, 1, 2
Let n(y) be the third derivative of -y**6/120 + 13*y**5/30 + y**4/24 - 13*y**3/3 - 233*y**2. Solve n(i) = 0.
-1, 1, 26
Let i(m) be the first derivative of 2*m**3 + 4*m**2 - 8*m - 5. Let z(n) = n**2 - 1. Let s(d) = -i(d) + 8*z(d). Let s(g) = 0. What is g?
0, 4
Let x = 1 - 57. Let s be (x/63)/((12/(-9))/2). Factor 2*i**2 + 0 + s*i + 2/3*i**3.
2*i*(i + 1)*(i + 2)/3
Let u(h) = h**3 - 13*h**2 - h - 11. Let j be u(11). Let g = j - -688. Factor -8*b + 4*b**2 + 424 - g.
4*b*(b - 2)
Let l = 178 - 889/5. Let h(w) = -2*w**3 - w**2 - 2*w - 1. Let s be h(-1). Factor 5 - s*y + l*y**2.
(y - 5)**2/5
Suppose 18 = -5*r + 38. Solve 1/4*h**3 + 0*h**2 + 0*h - 1/4*h**5 + 0*h**r + 0 = 0 for h.
-1, 0, 1
What is w in -8/7 - 6/7*w**2 + 16/7*w - 4/7*w**3 + 2/7*w**4 = 0?
-2, 1, 2
Let i be -1 + 7/(14/16). Suppose i*q - 2*q = 20. Solve -36*a**3 - 10 - 69*a**2 + 48*a**4 + q - 45*a + 108*a**3 = 0.
-2, -1/4, 1
Let a = -284 - -286. Suppose -15 = -3*u + 15. Factor 1 + 2*n - u*n**a + 55*n**3 - 49*n**3 + 1.
2*(n - 1)**2*(3*n + 1)
Suppose 3*i - 30 = -2*b + 5*b, -i + 3*b = -20. Let f(s) be the first derivative of 3/4*s**4 + s**3 + 1 - 3/5*s**i + 0*s - 3/2*s**2. Solve f(z) = 0 for z.
-1, 0, 1
Let w be 2919/35 - 2 - (-3)/5. Let h = w + -80. Factor 0*c - 4/13*c**h + 14/13*c**3 + 0.
2*c**2*(7*c - 2)/13
Let j = 2885 + -2882. Let c(q) be the first derivative of 4/9*q + 1/3*q**2 + 9 - 4/27*q**j. Factor c(z).
-2*(z - 2)*(2*z + 1)/9
Let r(f) = 10*f**3 - 12*f**2 - 10*f + 40. Let b(h) = -5*h**3 + 8*h**2 + 5*h - 20. Let x(y) = 7*b(y) + 3*r(y). Suppose x(v) = 0. What is v?
-1, 1, 4
Solve 7*c**3 + 55 - 4*c**4 - 4*c**2 + 2*c**2 - c - 55 = 0 for c.
-1/4, 0, 1
Let t(j) be the second derivative of 3*j**5/20 - 2*j**4 - 9*j**3/2 + j - 57. Suppose t(g) = 0. Calculate g.
-1, 0, 9
Let i(k) be the first derivative of k**4/5 - 14*k**3/15 + k**2 - 146. Factor i(j).
2*j*(j - 1)*(2*j - 5)/5
Suppose -2*y = -5*p + 10, 4 = -138*p + 140*p. Factor -4/5*d + 2/5*d**2 + 4/5*d**3 + y - 2/5*d**4.
-2*d*(d - 2)*(d - 1)*(d + 1)/5
Suppose 51*b - 24 = 43*b. Let k(z) be the second derivative of -1/12*z**6 + 0 - 1/6*z**b + 0*z**2 + 1/5*z**5 - 3*z - 1/24*z**4. Solve k(x) = 0.
-2/5, 0, 1
Let d(s) = 10*s**2 - 2*s - 2. Let z be d(-1). Suppose 5*n = z*n. Factor -2/5*p**5 + 2/5*p**3 + 2/5*p**2 + n - 2/5*p**4 + 0*p.
-2*p**2*(p - 1)*(p + 1)**2/5
Suppose -c + 4*p = 6, 0*c - 16 = -5*c - 3*p. Let o = c - 2/3. Factor -2/9*v**3 - o*v**2 - 16/9 - 8/3*v.
-2*(v + 2)**3/9
Suppose z = -4, -54 = -5*h - z + 17. Suppose 10*b - h*b**2 - 2 + 5 + 2 = 0. Calculate b.
-1/3, 1
Suppose -3*c = -2*q + 19, -4*c - 3*q - 7 = -2*q. Let p be (-36)/c*3/(36/3). Find h such that 2/3*h - 2/3*h**5 - 4/3*h**4 + 4/3*h**2 + 0*h**p + 0 = 0.
-1, 0, 1
Let w(n) be the second derivative of n**5/5 - 23*n**4/3 + 158*n**3/3 - 114*n**2 - 65*n + 2. Factor w(y).
4*(y - 19)*(y - 3)*(y - 1)
Let b(a) be the second derivative of a**4/4 + 27*a**3 + 2187*a**2/2 - 2*a - 51. Let b(r) = 0. What is r?
-27
Let y(s) be the first derivative of 2/9*s**3 + s**2 + 27 - 8/3*s. What is p in y(p) = 0?
-4, 1
Factor 16/9*h**3 + 32/9*h + 4*h**2 + 2/9*h**4 + 10/9.
2*(h + 1)**3*(h + 5)/9
Let m(y) be the third derivative of 0 + 4/3*y**5 + 13/15*y**6 + 6*y**2 + 0*y**3 - 4/3*y**4 + 2/15*y**7 + 0*y. Factor m(h).
4*h*(h + 2)**2*(7*h - 2)
Let q(f) = -16*f**2 - 34*f - 5. Let h(u) = -19*u**2 - 34*u - 6. Let j(i) = 5*h(i) - 6*q(i). Factor j(c).
c*(c + 34)
Let g(x) be the second derivative of -x**5/150 - x**4/10 - 3*x**3/5 - 9*x**2/5 + 102*x. Factor g(u).
-2*(u + 3)**3/15
Let r = 2/3497 - -10487/6994. Factor 27/2 + r*d**2 - 9*d.
3*(d - 3)**2/2
Let u(k) be the first derivative of -2/9*k**3 - 1/3*k**2 + 2/15*k**5 - 44 + 0*k + 1/6*k**4. Factor u(s).
2*s*(s - 1)*(s + 1)**2/3
Suppose 10*p = 31*p - 84. Let j(k) be the second derivative of 0 + 1/40*k**5 + 7*k + 7/12*k**3 - 3/4*k**2 - 5/24*k**p. Suppose j(g) = 0. What is g?
1, 3
Let b(f) = 2*f**3 + 2*f - 1. Let s(l) = l**5 - 5*l**4 - l**3 + 17*l**2 - 8*l - 1. Let m(w) = -3*b(w) + 3*s(w). Let m(y) = 0. Calculate y.
-2, 0, 1, 5
Let p = -40 - -60. Let x(q) be the first derivative of -50/3*q**3 + p*q**2 - 1 - 8*q. What is v in x(v) = 0?
2/5
Suppose 12*t - 3*t = -5*t. Let u(h) be the second derivative of -1/21*h**3 + 0 + 2/35*h**5 + t*h**2 - 1/14*h**4 + 2*h. Factor u(w).
2*w*(w - 1)*(4*w + 1)/7
Let w = -1223 + 1227. Let v(c) be the first derivative of 0*c - 1/2*c**3 + 3/8*c**w + 11 - 1/10*c**5 + 1/4*c**2. Determine m, given that v(m) = 0.
0, 1
Find g, given that g - 1/2*g**3 - 1/2*g**5 - 3/2*g**4 + 0 + 3/2*g**2 = 0.
-2, -1, 0, 1
Let s = 25809/5 - 5161. Factor -4/5*r**2 - s*r + 24/5.
-4*(r - 2)*(r + 3)/5
Let n(z) be the third derivative of -z**5/75 - 7*z**4/30 - 4*z**3/3 - z**2 - 27. Let n(m) = 0. Calculate m.
-5, -2
Let h(b) be the first derivative of 0*b - 5/4*b**4 - 5*b**2 - 7 - 5*b**3. Suppose h(p) = 0. What is p?
-2, -1, 0
Let i(y) = y**2 + 7*y + 4. Let t be i(-7). Suppose -4*p + 16 - t = 0. Determine s so that -2*s**3 - p*s + 0*s**2 + 4*s**2 + s = 0.
0, 1
Let d(o) = -15*o - 67. Let m(l) = -5*l - 22. Let w(n) = -6*d(n) + 17*m(n). Let j be w(-5). Factor -5/4*g**4 + 1/4*g**2 - 1/4*g + 1/2*g**5 + 0 + 3/4*g**j.
g*(g - 1)**3*(2*g + 1)/4
Let r be -4 - 2/(1 + (-132)/112). Let -14/5*u**4 - 2/5*u**5 - 44/5*u**2 - 26/5*u - r*u**3 - 6/5 = 0. What is u?
-3, -1
Let f be 3*((-9)/15 - 32/(-20)). Suppose 3*h + 10*h - 25*h + f*h**2 = 0. Calculate h.
0, 4
Determine k, given that 4*k**3 + 43*k - 32*k + 8*k**2 + k**4 + 3*k**3 - 27*k = 0.
-4, 0, 1
Determine j, given that -5*j - 11*j**2 + 6*j**2 - 94*j**3 + 191*j**3 + 5 - 92*j**3 = 0.
-1, 1
Let d(q) be the second derivative of q**5/5 - 9*q**4/4 + 19*q**3/3 - 15*q**2/2 + 338*q. Suppose d(v) = 0. What is v?
3/4, 1, 5
Factor 2/5*t**3 + 12/5*t + 0 - 14/5*t**2.
2*t*(t - 6)*(t - 1)/5
Let z = 43 - 39. Suppose 6*k - 2*k + u - 16 = 0, 11 = -k - z*u. Factor 0*r**2 + 2/3*r**4 + 0 + 0*r + 1/3*r**3 + 1/3*r**k.
r**3*(r + 1)**2/3
Suppose -5*j + 8 = -4*m, -5*m = j - 18 - 1. Let c = 11 + -9. Factor 0*s**3 - 3*s**5 + 0*s + 0 + 0*s**c + 3/4*s**j.
-3*s**4*(4*s - 1)/4
Let q(a) be the third derivative of a**5/20 - 7*a**4/4 + 49*a**3/2 - 21*a**2 + 2*a. Factor q(r).
3*(r - 7)**2
Find q, given that -2/11 - 3/11*q + 3/11*q**3 + 2/11*q**2 = 0.
-1, -2/3, 1
Let i(p) be the first derivative of p**7/2520 - p**6/360 + p**5/180 + 2*p**3 + 14. Let v(l) be the third derivative of i(l). Solve v(q) = 0 for q.
0, 1, 2
Let u(t) be the first derivative of -7/3*t**3 - 9*t + 3*t**2 + 2/3*t**4 + 4. Let p(m) be the first derivative of u(m). Find n such that p(n) = 0.
3/4, 1
Let u(y) = 241*y**2 - 1204*y - 3. Let x be u(5). Factor 1/2*p**3 + 3/2*p + 1/2 + 3/2*p**x.
(p + 1)**3/2
Factor -4*n**3 - 2/3*n**4 - 16/3*n**2 + 0 + 0*n.
-2*n**2*(n + 2)*(n + 4)/3
Suppose 0 = 5*p - b - 26 - 7, -4*b - 20 = -4*p. Determine i so that -2*i**4 + 48*i**2 - 2 + 7*i**4 + p*i**4 - 45*i**3 - 4 - 9*i = 0.
-1/4, 1, 2
Suppose 103 = 2*p + 65. Let v = p - 17. Let -6/5*f + 2/5*f**3 + 4/5 + 0*f**v = 0. What is f?
-2, 1
Let d(o) = 3*o**2 - 24*o. Let g(z) = 30*z**2 - 237*z. Let x(k) = 21*d(k) - 2*g(k). Factor x(n).
3*n*(n - 10)
Let z = -328/13 + 28415/1001. Let t = -30/11 + z. Factor -27/7 - t*r**2 - 18/7*r.
-3*(r + 3)**2/7
Let g(t) be the first derivative of -81*t**6 - 7938*t**5/5 + 1359*t**4 - 3656*t**3/9 + 136*t**2/3 - 349. Let g(v) = 0. What is v?
-17, 0, 2/9
Let y(t) be the first derivative of -t**5/60 - t**4/12 - t**3/6 + 45*t**2/2 - 17. Let f(s) be the second derivative of y(s). What is d in f(d) = 0?
-1
Find o, given that 2*o**2 + 0*o - 8/5 - 2/5*o**4 + 0*o**3 = 0.
-2, -1, 1, 2
Let v(x) = -2*x**5 - 12*x**4 + 16*x**3 - 12*x**2 - 6*x - 4. Let w(u) = -u**5 - u**4 + u**3 - u**2 - 2*u - 1. Let n(t) = v(t) - 4*w(t). Factor n(m).
2*m*(m - 1)**4
Suppose -5*l - 259 = 3*h - 0*l, 4*h + 324 = 4*l. Let f = 86 + h. Determine w so that 9/2 + 1/2*w**2 - f*w = 0.
3
Let f(r) = r**2 - r - 1. Let g(o) be the first derivative of o**3 - 4*o - 6. Let a(l) =