1, 0, 1
Let i be -4 + (-3)/9 + 5 + (-2 - -4). Let s be (-52)/(-30) + (-6)/15. Solve -1/3*y**3 - 2/3*y**2 + i + s*y = 0 for y.
-2, 2
Let c = 10925 - 10925. Factor c*r**4 + 0*r + 2/7*r**5 + 0 - 6/7*r**3 - 4/7*r**2.
2*r**2*(r - 2)*(r + 1)**2/7
Let a(m) = -2*m - 166. Let o be a(-84). Factor 75/4*f**o - 15*f - 5*f**3 - 5.
-5*(f - 2)**2*(4*f + 1)/4
Let r(a) be the first derivative of 2*a**5/25 - 3*a**4/5 + 8*a**3/5 - 8*a**2/5 - 87. Factor r(x).
2*x*(x - 2)**3/5
Suppose 16*o - 20 - 76 = 0. Let p(z) be the first derivative of 0*z**2 + 0*z - 1/5*z**3 - 3/20*z**4 - 10 + 3/25*z**5 + 1/10*z**o. Find v such that p(v) = 0.
-1, 0, 1
Solve 2/5*s**3 - 28/5*s + 22/5*s**2 - 48/5 = 0.
-12, -1, 2
Let k = -205 - -207. Let q(n) be the first derivative of 0*n + 3/4*n**4 + 2 - 1/3*n**3 - 3/5*n**5 + 0*n**k + 1/6*n**6. Let q(s) = 0. What is s?
0, 1
Let b(u) be the first derivative of -3/44*u**4 + 0*u**3 + 0*u + 2/11*u**2 + 1/55*u**5 - 23. Determine d, given that b(d) = 0.
-1, 0, 2
Let h(b) be the first derivative of b**7/210 - b**6/30 + b**5/10 - b**4/6 + b**3 + 15. Let s(p) be the third derivative of h(p). Factor s(z).
4*(z - 1)**3
Let w(f) = -f - 6. Let j be w(-9). Let y(k) be the first derivative of 7 + 2*k**3 - 3*k - 3*k**3 + 0*k**j - 3*k**2. Factor y(a).
-3*(a + 1)**2
Suppose 3*y = -6*y - 99. Let m be y/(-42) + (549/54 - 10). Determine g, given that 3/7*g + 0 + m*g**2 = 0.
-1, 0
Suppose g = -2*f - 0 + 2, 5*f - 4*g - 31 = 0. Factor -a**3 + 467*a**2 - f + a - 468*a**2 + 4.
-(a - 1)*(a + 1)**2
Let l(o) be the third derivative of 1/170*o**5 + 1/204*o**4 + 0*o + 1/1785*o**7 + 0 + 0*o**3 + 1/340*o**6 + 10*o**2. Find u, given that l(u) = 0.
-1, 0
Let l(j) be the third derivative of -j**5/60 + 3*j**4/8 + 5*j**3/3 + j**2 - 37. Factor l(i).
-(i - 10)*(i + 1)
Suppose 4*s = 5*w - 9, -6*s - 14 = -7*s - 2*w. What is a in 0 + 2*a**3 + 6/5*a**s + 2/5*a**2 - 2/5*a = 0?
-1, 0, 1/3
Let w = -6 + 8. Factor -2*h**2 + 4*h - 5*h**w + 3*h**2.
-4*h*(h - 1)
Let g(z) = -z**2 + z + 1. Let k(x) = 2*x**3 - 87*x**2 + 1347*x - 6753. Let o(i) = 6*g(i) + 2*k(i). Factor o(v).
4*(v - 15)**3
Let m(x) be the third derivative of x**6/24 - 7*x**5/6 + 55*x**4/6 - 100*x**3/3 + 213*x**2 + 2*x. Solve m(g) = 0.
2, 10
Solve 3/4*l**2 + 5*l + 3 = 0.
-6, -2/3
Let h(j) = 7*j**2 + 26*j - 39. Let n(b) = 9*b**2 + 24*b - 41. Let a(m) = 4*h(m) - 3*n(m). Factor a(c).
(c - 1)*(c + 33)
Suppose -22/7*o**2 + 0 - 12/7*o + 48/7*o**3 + 78/7*o**4 + 20/7*o**5 = 0. Calculate o.
-3, -1, -2/5, 0, 1/2
Let z = 2762 - 5521/2. Factor 3 - 9/2*i + z*i**2.
3*(i - 2)*(i - 1)/2
Let f = 2134 + -2131. Factor -9/4 - 21/4*k + 9/4*k**f + 21/4*k**2.
3*(k - 1)*(k + 3)*(3*k + 1)/4
Suppose -20*f + 69 = 9. Let h(z) be the first derivative of 9/2*z**2 + 3 + 0*z - z**f. Determine y so that h(y) = 0.
0, 3
Suppose -45*a - 11*a + 112 + 56 = 0. Find n, given that -8/3*n**3 + a*n**4 - 2/3*n**5 - 2*n**2 + 10/3*n - 1 = 0.
-1, 1/2, 1, 3
Find l, given that -4*l**5 - 24*l**3 - 22*l**4 - 5*l**2 + 7*l**3 + l**2 + 2*l**4 = 0.
-4, -1/2, 0
Let h = -287639/180 - -1598. Let j(u) be the third derivative of 4/9*u**3 + 0 + 1/45*u**5 + 0*u + 7/36*u**4 - h*u**6 - 2*u**2. Factor j(c).
-2*(c - 4)*(c + 1)**2/3
Let c(o) be the first derivative of -o**4/4 + 4*o**3/3 + o**2/2 + 7. Let k be c(4). Solve -1/4*z**k + 1/4*z**2 - 1/2*z + 0 + 1/2*z**3 = 0 for z.
-1, 0, 1, 2
Let y(s) be the second derivative of 0 - 44*s + 5/18*s**3 + 5/36*s**4 + 0*s**2. Factor y(x).
5*x*(x + 1)/3
Suppose 0 = -4*y + 12 + 8. Factor 9*x**2 + 9*x + 2*x - y*x - 3*x**4.
-3*x*(x - 2)*(x + 1)**2
Suppose -13/5*u**3 - 31/5*u**2 + 0 - 1/5*u**4 + 9*u = 0. What is u?
-9, -5, 0, 1
Suppose -27 = a - 31. Let t be (-2)/4 - ((-245)/42 + a). Let t*j**3 - 8/3*j + 0 - 4/3*j**2 = 0. What is j?
-1, 0, 2
Suppose -61 = -2*h + 3*r, 2*h - 26 = 2*r + 38. Solve -5*p**4 + 15*p + 25*p**3 - h*p**2 - 3*p**4 + 3*p**4 = 0 for p.
0, 1, 3
Suppose 6*w - 236 = 40. Factor -w*l - 14*l + 507 + 3*l**2 - 43*l + 25*l.
3*(l - 13)**2
Let t be ((-3)/(-90))/(((-1)/(-1))/2). Let o(q) be the third derivative of -4*q**2 + 0*q + 0 + t*q**3 - 1/600*q**6 + 0*q**5 + 1/40*q**4. Factor o(l).
-(l - 2)*(l + 1)**2/5
Let j = 136 - 135. Let h(p) = 20*p**2 - 70*p - 40. Let l(a) = a**2 - a. Let v(y) = j*h(y) - 25*l(y). Suppose v(f) = 0. What is f?
-8, -1
Let x(o) be the first derivative of 2/15*o**3 + 26 + 72/5*o - 12/5*o**2. Let x(a) = 0. Calculate a.
6
Determine q so that -16/3*q**5 + 92/3*q**3 - 112/3*q + 32/3 + 20/3*q**4 - 88/3*q**2 = 0.
-2, -1, 1/4, 2
Let l(i) be the first derivative of 0*i**2 - 9 + 4*i - 4/3*i**3. Determine b, given that l(b) = 0.
-1, 1
Let l(r) be the second derivative of r**7/280 + r**6/40 - 9*r**5/40 - 27*r**4/8 - 2*r**3 + 19*r. Let b(c) be the second derivative of l(c). Factor b(j).
3*(j - 3)*(j + 3)**2
Let x(p) = -20*p**3 + 30*p**2 + 95*p + 60. Let s(t) = -9*t**3 + 15*t**2 + 47*t + 29. Let l(q) = -5*s(q) + 2*x(q). Factor l(w).
5*(w - 5)*(w + 1)**2
Let w(r) be the second derivative of 0 + 24*r - 1/15*r**6 + 0*r**3 + 0*r**2 - 1/6*r**4 + 1/5*r**5. Suppose w(a) = 0. Calculate a.
0, 1
Let p(x) = x**3 + x**2. Let v(o) = 2*o**3 - 21*o**2 - 144*o. Let r(w) = -6*p(w) + 2*v(w). What is a in r(a) = 0?
-12, 0
Let w be ((-3)/30)/((-90)/168). Let a(r) be the first derivative of -2/15*r**2 + 14/45*r**3 - 4 - w*r**5 + 0*r + 1/15*r**4. What is u in a(u) = 0?
-1, 0, 2/7, 1
Let u be 9/(-18) + 110/4. Let d(n) be the first derivative of 5 + n**3 + 2*n**4 - 5*n**3 - 27*n - n**3 - 7*n**3 + u*n**2. Determine z so that d(z) = 0.
3/2
Let y(w) be the second derivative of w**5/100 - w**4/20 - 3*w**3/2 - 81*w**2/10 - 77*w + 1. Suppose y(o) = 0. Calculate o.
-3, 9
Let u(q) be the first derivative of -q**4/28 + 19*q**3/21 - 24*q**2/7 - 855. Factor u(a).
-a*(a - 16)*(a - 3)/7
Suppose 2*k + 5*w = -0*k + 5, -1 = 4*k - w. Let y(j) be the second derivative of 1/24*j**4 + 1/12*j**3 - 3*j + 0 + k*j**2. Determine l, given that y(l) = 0.
-1, 0
Let b(k) be the third derivative of -k**6/300 + 4*k**5/75 + 11*k**4/20 + 184*k**2. Factor b(x).
-2*x*(x - 11)*(x + 3)/5
Let n(o) = 92*o**3 - o**2 - o. Let a be n(1). Let v = -90 + a. Factor -2/7*h**2 - 9/7*h**4 - 11/7*h**3 + v + 0*h.
-h**2*(h + 1)*(9*h + 2)/7
Let g(c) be the first derivative of 3*c**4/4 - 18*c**3 + 315*c**2/2 - 600*c + 105. Solve g(b) = 0.
5, 8
Factor 12/7*k**3 + 0 - 18/7*k + 15/7*k**4 - 3*k**2.
3*k*(k + 1)**2*(5*k - 6)/7
Let v(k) be the second derivative of k**5/10 - 23*k**4/3 - k**3/3 + 46*k**2 + 747*k. Factor v(h).
2*(h - 46)*(h - 1)*(h + 1)
Let d = 34 + -36. Let x be d/9*(5 + -11). Solve -x*o - 1/3 - 4/3*o**3 - 2*o**2 - 1/3*o**4 = 0 for o.
-1
Let s(u) = -u**3 - 11*u**2 - 12*u - 6. Let j be s(-9). Let f = j - -65. Let 5/4*g**f - 3*g**4 - 1/4*g**3 + 0 + 3*g**2 - g = 0. Calculate g.
-1, 0, 2/5, 1, 2
Find v, given that -30/11*v**3 + 36/11*v - 42/11*v**4 + 0 + 42/11*v**2 - 6/11*v**5 = 0.
-6, -1, 0, 1
Suppose 7 = 3*i + 2*l, -5*i - 11 = 5*l - 21. Let j(p) be the first derivative of 7/2*p**4 - 12*p**i - 2 - 2/5*p**5 + 20*p**2 - 16*p. Solve j(d) = 0.
1, 2
Let p = -61/2 - -31. Let o be (-1)/3*(-18)/15*5. Factor -j**3 + 1/2 + j + 0*j**o - p*j**4.
-(j - 1)*(j + 1)**3/2
Let z be (1 + 14/(-10))*-5. Suppose 4*j = 4*q - 8, 6*q - 10 = 3*j + q. Suppose -2*v**2 + v**z - v**2 + j*v**2 = 0. What is v?
0
Let d be 3/2 - (-147)/42. Suppose 6*f - f + z - 21 = 0, -2*z = -d*f + 18. Let 9/4*j**2 + 0 + 9/4*j**3 + 3/4*j + 3/4*j**f = 0. What is j?
-1, 0
Let q = 1791/7 + -255. Let t = q - 2/7. Factor 0 - 2/7*c + t*c**2.
2*c*(2*c - 1)/7
Let q(j) be the second derivative of j**6/15 - j**5/5 - j**4/2 - 457*j. Factor q(v).
2*v**2*(v - 3)*(v + 1)
Let t(b) = -3*b + 38. Let g be t(10). Solve 5*w**3 - 86*w**3 + 7*w**5 - 18*w + 75*w**2 + 8*w**4 + w**4 + g*w**5 = 0.
-3, 0, 2/5, 1
Let k(h) be the third derivative of h**7/350 - 7*h**6/200 - 3*h**5/10 - h**4/10 + 4*h**3 - 20*h**2 - 2. Suppose k(w) = 0. What is w?
-2, 1, 10
Let l = -1 + 3. Let o = 21/4 + -19/4. Factor -o + l*g**2 - 3/2*g.
(g - 1)*(4*g + 1)/2
Let c be (-56)/12*(-36)/42. Let d(g) be the first derivative of 2 - 2/27*g**3 - 1/9*g**2 + 2/9*g + 1/18*g**c. Factor d(m).
2*(m - 1)**2*(m + 1)/9
Let n(g) = -2*g**3 + 3*g**2 + 3*g + 2. Let t(x) = -4*x**3 + 7*x**2 + 6*x + 5. Let r(q) = -9*n(q) + 4*t(q). Let j be r(1). Factor -1/3*h**j + 1 - 2/3*h.
-(h - 1)*(h + 3)/3
Factor -17*p**4 + p**5 + 3*p**5 + 598*p**2