). Let v be 6 - (3 - 2) - m. Suppose -3*a**3 - 3/2 - 3/2*a**v + 9/2*a**4 - 3*a**2 + 9/2*a = 0. What is a?
-1, 1
Let t = -49 + 12. Let g = -109/3 - t. Let -8/3 + 8/3*s - g*s**2 = 0. Calculate s.
2
Factor 3/7 - 2/7*r**3 + 2/7*r - 4/7*r**2 + 1/7*r**4.
(r - 3)*(r - 1)*(r + 1)**2/7
Suppose -2*v + 11*v = 63. Let q be v/3 - (-42)/63. Factor 11/8*l**q + 29/2*l + 1 + 235/4*l**2 - 242*l**4 + 1331/8*l**5.
(l - 1)**2*(11*l + 2)**3/8
Suppose 4*t - 9 = 15. Suppose 0 = -2*f + 5*q - t, -3*f + q + 12 = 4*q. Let 8/3*w - 10/9*w**f - 8/9 = 0. Calculate w.
2/5, 2
Let i(g) be the first derivative of 2/9*g**3 + 2/15*g**5 + 0*g**2 + 0*g + 1/3*g**4 - 20. Let i(t) = 0. What is t?
-1, 0
What is z in -z**3 + 8 + 10/3*z**2 + 44/3*z = 0?
-2, -2/3, 6
Suppose -8/3*w**2 - 32/9 + 2/9*w**4 - 2/9*w**3 + 56/9*w = 0. What is w?
-4, 1, 2
Let x(g) = 3*g**4 + 9*g**3 + 3*g**2 - 9*g - 6. Let p(j) = -3*j**4 - 9*j**3 - 3*j**2 + 9*j + 6. Suppose 7 + 3 = 2*l. Let d(y) = l*p(y) + 6*x(y). Factor d(q).
3*(q - 1)*(q + 1)**2*(q + 2)
Suppose -2*l + 8 = -0. Suppose 0 = -4*p - l*v, 0 = -5*p + 4*v + 40 - 13. Determine j, given that 3*j**5 - 6*j**5 + 2*j**3 + j**p - 3*j**4 + 3*j**2 = 0.
-1, 0, 1
Let u(b) = -b**2 - 21*b + 1. Let m(n) = 5*n**2 - 90*n + 478. Let g(d) = -m(d) - 2*u(d). Factor g(o).
-3*(o - 40)*(o - 4)
Suppose 4/7*m**2 - 6/7*m - 10/7*m**5 - 4/7*m**4 + 16/7*m**3 + 0 = 0. Calculate m.
-1, 0, 3/5, 1
Suppose 0 = -5*q + 31 + 14. Let a be 9/(-2)*6/q - -3. Factor -27/5*p**4 - 12/5*p + a + 9/5*p**3 + 24/5*p**2.
-3*p*(p + 1)*(3*p - 2)**2/5
Factor 34/5*t**3 - 2/5*t**4 - 126/5*t**2 - 162/5*t + 0.
-2*t*(t - 9)**2*(t + 1)/5
Find u such that -4/3 + 1/3*u**2 + 2/3*u - 1/6*u**3 = 0.
-2, 2
Let h(c) = c**3 - c - 1. Let t(o) = -4*o**3 - 4*o**2 + 4*o + 2. Let r(m) = -3*h(m) - t(m). Let p be r(-4). Solve -10*x**p + 12*x**5 + 2*x**4 - 4*x**4 = 0 for x.
0, 1
Let h(d) = -d**3 - 16*d**2 + 18*d - 13. Let s be h(-17). Let q be (s/60)/(22/(-10) - -2). Factor 5*y - q*y**2 - 5/2.
-5*(y - 1)**2/2
Let b(p) be the second derivative of -2*p**7/945 + p**6/135 - p**5/135 + 4*p**2 - 8*p. Let j(i) be the first derivative of b(i). Suppose j(a) = 0. Calculate a.
0, 1
Let a = 1 - 1. Suppose -q + 2 + 5 = a. Solve -7*x**2 - 2*x**2 + 1 - 2*x - q + 17*x = 0 for x.
2/3, 1
Suppose 0 = 2*p + 3*p - 15. Suppose -2*s + 7*s - 10 = -3*b, -3*s - 4*b + 6 = 0. Factor 0 + s*k**p - 4/3*k**2 + 2/9*k.
2*k*(3*k - 1)**2/9
Let c(w) be the first derivative of w**4/66 + w**3/33 - 2*w**2/11 - 9*w + 9. Let a(g) be the first derivative of c(g). Factor a(q).
2*(q - 1)*(q + 2)/11
Factor 35 + 28 - 44*d - 39*d**2 + 2*d + 3*d**3 - 63.
3*d*(d - 14)*(d + 1)
Let s(w) = -59*w**3 + 76*w**2 + 128*w - 13. Let i(q) = -62*q**3 + 76*q**2 + 128*q - 14. Let r(p) = -3*i(p) + 2*s(p). Suppose r(g) = 0. Calculate g.
-1, 2/17, 2
Let g(q) be the second derivative of -1/15*q**6 + 0*q**4 - 29*q + 0 + 1/2*q**5 + 0*q**3 + 0*q**2. Let g(s) = 0. What is s?
0, 5
Let h = -6771 + 88031/13. Solve -4/13 - 14/13*t**5 - h*t**3 + 22/13*t + 32/13*t**4 - 28/13*t**2 = 0.
-1, 2/7, 1
Let u(h) = -h**3 + 2*h**2 + 37*h - 10. Let r be u(7). Find s such that -384/5*s**3 - 4/5 + 34/5*s - 72*s**r + 14/5*s**2 = 0.
-1, -2/5, 1/6
Let i(p) = p**5 + p**4 - p**3 - 1. Let j = -9 + 13. Let h(d) = 7*d**5 - j + 2*d**4 - d**5 + 2*d**3 + 4*d**4 - 6*d**3. Let k(u) = h(u) - 4*i(u). Factor k(n).
2*n**4*(n + 1)
Let z(v) be the third derivative of v**8/1260 - v**7/630 - v**6/135 + 7*v**3/2 + 17*v**2. Let k(u) be the first derivative of z(u). Factor k(n).
4*n**2*(n - 2)*(n + 1)/3
Let k be (14/6)/((-66)/18). Let m = 25/22 + k. Suppose -1 + m*d + 1/2*d**2 = 0. Calculate d.
-2, 1
Suppose 4*l + 49 = -47. Let o be 2/(-3)*324/l. Factor -6*m + m**2 + o + 0*m - 3*m + 3*m.
(m - 3)**2
Factor 10/3*t**2 - 16/9*t + 2/9*t**4 - 32/9 + 16/9*t**3.
2*(t - 1)*(t + 1)*(t + 4)**2/9
Determine m, given that 233/3*m + 1/3*m**3 - 116/3 - 118/3*m**2 = 0.
1, 116
Let d be 8*9/288*1. Factor 1/2*p**3 + d - 1/2*p**2 - 1/4*p**5 + 1/4*p**4 - 1/4*p.
-(p - 1)**3*(p + 1)**2/4
Let k(t) be the second derivative of t**6/135 + t**5/9 + 11*t**4/18 + 44*t**3/27 + 20*t**2/9 + 26*t + 1. Factor k(i).
2*(i + 1)*(i + 2)**2*(i + 5)/9
Let u(k) be the first derivative of -k**4/84 - k**3/7 - 9*k**2/14 - 10*k + 11. Let w(z) be the first derivative of u(z). Determine r, given that w(r) = 0.
-3
Let r = 4808/9 - 534. Factor 0 - 2/3*c - r*c**2.
-2*c*(c + 3)/9
Let q = -158 + 160. Let y be q + (-114)/24 + 3. Factor -y*g**3 + 0 + 1/2*g + 1/4*g**2.
-g*(g - 2)*(g + 1)/4
Find x, given that -4/5*x**4 + 0 - 8/5*x**2 - 6*x**3 + 8*x + 2/5*x**5 = 0.
-2, 0, 1, 5
Let w(g) = -g**2 + 27*g - 160. Let h be w(9). Factor 2/5*j**3 + 1/5*j**4 + 1/5*j**h + 0*j + 0.
j**2*(j + 1)**2/5
Suppose g**2 + 0 + 1/2*g**3 + 0*g = 0. Calculate g.
-2, 0
Let x(w) = 4*w**4 - 82*w**3 + 696*w**2 + 3862*w + 4234. Let c(a) = -a**4 - a**3 + a**2 + a - 1. Let m(r) = 4*c(r) + 2*x(r). Factor m(h).
4*(h - 23)**2*(h + 2)**2
Let y(x) = 5*x**2 + 50*x - 45. Let c(n) = -7*n**2 - 51*n + 46. Let m(v) = 5*c(v) + 6*y(v). Let m(l) = 0. What is l?
1, 8
Let r(p) be the third derivative of 0*p + 0*p**3 - 1/18*p**4 + 0 - 2/135*p**5 + 1/270*p**6 - 16*p**2. What is n in r(n) = 0?
-1, 0, 3
Let o = 50165/3 + -16721. Factor 8 - 2/3*r**3 + o*r - 8*r**2.
-2*(r - 1)*(r + 1)*(r + 12)/3
Let z(u) be the third derivative of u**7/105 + 23*u**6/60 - 4*u**5/5 + 103*u**2. Let z(p) = 0. What is p?
-24, 0, 1
Let -55*h**2 + 0*h - 5*h**3 - 25*h**3 - 5*h**4 - 3*h - 26*h - h = 0. What is h?
-3, -2, -1, 0
Let a = 24906 - 24906. Determine x so that a + 12/7*x + 2*x**2 + 2/7*x**3 = 0.
-6, -1, 0
Suppose -5*o + 4 = -3*o. Find u, given that -8 - 3 - 2*u + 10 - u**o = 0.
-1
Let r = 114 - 6. Let z = 433/4 - r. Solve z*b**3 - 1/4*b**4 + 1/4*b**2 + 0 + 0*b - 1/4*b**5 = 0.
-1, 0, 1
Let y(b) = -44*b**2 + 20*b + 28. Let d(r) = 18*r**2 - 8*r - 11. Let x(p) = 12*d(p) + 5*y(p). Solve x(h) = 0 for h.
-1, 2
Let m(i) be the second derivative of 0*i**2 - 5*i + 0 - 1/33*i**4 - 1/110*i**5 - 1/33*i**3. Solve m(v) = 0.
-1, 0
Let n(i) be the first derivative of i**6/420 + i**5/42 + i**4/12 + i**3/7 - 21*i**2 - 8. Let k(z) be the second derivative of n(z). Solve k(m) = 0.
-3, -1
Let j(d) be the first derivative of 4/3*d**3 - 6/5*d**5 + 2*d + 2*d**4 - 4*d**2 - 28. Determine b, given that j(b) = 0.
-1, 1/3, 1
Factor 0*k**3 + 3/5*k**4 + 48/5 + 0*k - 24/5*k**2.
3*(k - 2)**2*(k + 2)**2/5
Find b, given that 2/11*b**2 + 10/11*b + 8/11 = 0.
-4, -1
Let v(p) be the second derivative of 3/140*p**5 - 18*p - 3/14*p**4 + 0 + 6/7*p**3 - 12/7*p**2. Suppose v(s) = 0. Calculate s.
2
Suppose 0 = -0*z + z - 6. Let a(c) = 10*c + 102. Let k be a(-10). Factor z*g**2 + 5*g**2 + 2*g**2 - 10*g**k.
3*g**2
Let l(o) = -o**2 + o + 4. Let y(i) = -6*i**2 + i + 2*i**2 + 408 - 401 + 3*i**2. Let r(u) = 7*l(u) - 4*y(u). Determine c so that r(c) = 0.
0, 1
Let j(w) = w**2 - 5*w - 16. Let x be j(7). Let c be 1/2*(-20)/30 - x. Factor -c*g**3 - 1/6*g**5 - 5/6*g**4 - 5/6*g - 1/6 - 5/3*g**2.
-(g + 1)**5/6
Let c = 23782/27 + -881. Let l = c - -37/54. Factor 0 + g**4 - 1/2*g**5 + 0*g**2 + 0*g - l*g**3.
-g**3*(g - 1)**2/2
Let a(z) = -3*z - 3. Let k be a(-2). Suppose -2*u = -n + 2*n + 7, k*n - 14 = u. Factor 11*h + 11*h**2 + 22*h + 2*h**n + 7*h**2 + 21*h + 54.
2*(h + 3)**3
Suppose 3/7*i**2 + 51/7*i + 0 = 0. What is i?
-17, 0
Let -3/7*t**2 + 9/7 + 6/7*t = 0. Calculate t.
-1, 3
What is s in 5*s + 4 + 2 - 6 + 115*s**2 + 10*s = 0?
-3/23, 0
Let m(x) be the third derivative of x**5/60 - 95*x**4/24 - 97*x**3/3 + 1065*x**2. Factor m(c).
(c - 97)*(c + 2)
Let t(b) be the second derivative of 1/90*b**5 + 0 + 0*b**3 + 1/2*b**2 - b + 1/36*b**4. Let s(z) be the first derivative of t(z). Find w, given that s(w) = 0.
-1, 0
Let a be ((324/30)/(-9))/(3*36/(-80)). Factor 0 + a*b - 2/9*b**2.
-2*b*(b - 4)/9
Let i(x) be the third derivative of -32*x**7/105 + 18*x**6/5 - 24*x**5/5 - x**4/6 + 4*x**3 - 2*x**2 - 2. Suppose i(d) = 0. Calculate d.
-1/4, 1/2, 6
Let b = -237 + 229. Let f be (b/(-3))/(-8) - (-25)/45. Factor 8/9*w - 8/9 - f*w**2.
-2*(w - 2)**2/9
Let b(z) be the first derivative of -3 - z - 7/15*z**3 - 1/20*z**4 - 11/10*z**2. Find g such that b(g) = 0.
-5, -1
Let s = 108 - 106. Suppose i = 2*i - 9. Factor 2*q**2 - i*q + 3*q + q**s.
3*q*(q - 2)
Let z be 18/(-4)*(-1 - 1). Suppose -5*x - z*x - 36*x**2 + 8*x**3 - 9*x**3 + 12 - 9*x**3 = 0. Cal