0?
-1, 1
Suppose 14 = 2*g + 10. What is r in -2 + 0*r**2 - r + r**2 + 0*r**g = 0?
-1, 2
Let k(f) be the third derivative of -f**9/3024 + f**8/840 - f**7/840 + 2*f**3/3 - 4*f**2. Let j(q) be the first derivative of k(q). Factor j(g).
-g**3*(g - 1)**2
Let -9*a + 3*a + 8*a - a**2 + 12*a + 15 = 0. What is a?
-1, 15
Suppose 36*b**3 + 10*b**4 + 32/5 + 144/5*b + 242/5*b**2 = 0. Calculate b.
-1, -4/5
Let l(z) be the third derivative of -z**6/80 - z**5/20 + 3*z**4/16 - 15*z**2. Solve l(q) = 0.
-3, 0, 1
Suppose 8*v - 3 = 7*v. Factor 5*f**3 + 2*f**4 - f**5 - 2 - 2*f**2 - 2*f**2 - 3*f**v - 4*f**2 + 7*f.
-(f - 1)**4*(f + 2)
Let i(c) = -2*c**2 - 6. Let z(v) = -3*v**3 + v**2 + v + 1. Let g be z(-1). Let p = -1 - -6. Let q(f) = 2*f**2 - f + 7. Let t(h) = g*q(h) + p*i(h). Factor t(l).
-2*(l + 1)**2
Factor -101 - 89*b**2 - 2*b**4 + 24*b**3 - 19*b**2 - 61 + 216*b.
-2*(b - 3)**4
Suppose -3*p + 2*u = -27 - 30, 2*p = -3*u + 51. Let a = -21 + p. Factor a + 0*w - 2/5*w**4 + 2/5*w**2 - 2/5*w**5 + 2/5*w**3.
-2*w**2*(w - 1)*(w + 1)**2/5
Let b(c) be the second derivative of -c**8/11200 - c**7/1575 - c**6/1200 + c**5/300 - c**4/2 - 2*c. Let z(i) be the third derivative of b(i). Factor z(j).
-(j + 1)*(j + 2)*(3*j - 1)/5
Let j(i) = -34*i**3 - 20*i**2 - 6*i + 10. Let g(z) = 11*z**3 + 7*z**2 + 2*z - 3. Let y(o) = -20*g(o) - 6*j(o). Factor y(r).
-4*r*(r + 1)*(4*r + 1)
Let d(b) = -3*b**4 - 9*b**3 - 3*b**2 + 69*b - 60. Let x(w) = -2*w**4 - 10*w**3 - 2*w**2 + 68*w - 59. Let a(v) = -5*d(v) + 6*x(v). Factor a(s).
3*(s - 3)**2*(s - 1)*(s + 2)
Suppose -2/7*f**2 + 2/7*f**3 - 10/7*f - 6/7 = 0. Calculate f.
-1, 3
Suppose -52 + 52 + 2*c**3 - 4*c**4 + 2*c**5 = 0. What is c?
0, 1
Let a(r) = 11*r**2 - 7. Let h(i) = -5*i**2 + 3. Let z(s) = -3*a(s) - 7*h(s). Find p, given that z(p) = 0.
0
Let z be ((-18)/(-45))/(6/5). Solve -3 - z*b**2 + 2*b = 0 for b.
3
Let q = 4 + -1. Let y(u) = -5*u**3 + 6*u**2 - 9*u + 2. Let k(g) = 12*g**3 - 2 - 21*g**3 + 15*g**3 + 10*g - 6*g**2. Let r(h) = q*k(h) + 4*y(h). Factor r(d).
-2*(d - 1)**3
Find b such that 9/5*b**4 + 3*b**3 - 3/5*b**2 - 3*b - 6/5 = 0.
-1, -2/3, 1
Let g(r) be the first derivative of -2/3*r**3 + 9 - 2/3*r**2 - 2/9*r. What is l in g(l) = 0?
-1/3
Let d be ((-7)/((-56)/20))/10. What is u in -1/2*u**2 + d*u**3 + 0 + 0*u = 0?
0, 2
Suppose 0*n = 6*n + 24. Let i be n + 4 + 3 + 0. Factor -8/7*l**2 - 6/7*l**i + 4/7 + 2/7*l.
-2*(l + 1)**2*(3*l - 2)/7
Let 5*m**3 + 2*m**4 - 7*m**5 - 17*m**4 - 13*m**5 = 0. Calculate m.
-1, 0, 1/4
Let p(x) be the third derivative of -1/140*x**6 + 1/140*x**5 - 3*x**2 + 0*x + 0 + 1/28*x**4 - 1/14*x**3. Suppose p(a) = 0. Calculate a.
-1, 1/2, 1
Let c be -33 + 3 + 1*-4. Let p be c/(-12) + (-9)/6. Determine v, given that 2/3*v**2 - p*v + 0 = 0.
0, 2
Suppose 15 = -3*m, m + 2*m = b - 21. Let u be 3 + -4 - b/(-4). Factor -u*k**3 + 1 + 0*k**2 + 3/2*k.
-(k - 2)*(k + 1)**2/2
Let y(p) be the first derivative of -2*p**6/15 - 8*p**5/25 - p**4/5 - 16. Factor y(o).
-4*o**3*(o + 1)**2/5
Let m = -3/1474 - 2579/181302. Let d = m + 131/492. Factor -1/2*t + 1/4 + d*t**2.
(t - 1)**2/4
Let v(d) = -d**2 + 6*d + 3. Let n be v(6). Suppose -b**3 + 2*b**n - 8*b**4 + b**3 - 4*b**3 = 0. What is b?
-1/4, 0
Let v(y) be the third derivative of y**10/105840 - y**8/11760 + y**6/2520 + 7*y**4/24 - 9*y**2. Let q(s) be the second derivative of v(s). Factor q(w).
2*w*(w - 1)**2*(w + 1)**2/7
Suppose -m = -4*n - 6, 5*m + 5*n + 0*n = 5. Suppose 3*d = -m*d + 10. Determine w so that -1 - w**2 + 2*w**2 + 3*w**d - 3*w**2 = 0.
-1, 1
Let f(v) = 5*v**3 + 109*v**2 + 59*v - 29. Let s(z) = -z**3 + z**2 - z + 1. Let n(j) = -f(j) + 4*s(j). What is o in n(o) = 0?
-11, -1, 1/3
Find h, given that 4/7*h**2 + 8/7*h + 4/7 = 0.
-1
Let m(d) = -6*d**3 + 2*d**2 + 3*d + 5. Let t(k) = k**3 - k**2 - k - 1. Let q(s) = -3*m(s) - 15*t(s). Determine z so that q(z) = 0.
-2, -1, 0
Let a(b) be the second derivative of -1/48*b**4 - 1/2*b**2 + 2*b + 0 - 1/6*b**3. Factor a(f).
-(f + 2)**2/4
Let p(i) be the second derivative of -8*i**6/15 - i**5/5 + i**4 + 7*i**3/6 + i**2/2 + 3*i. Find u, given that p(u) = 0.
-1/2, -1/4, 1
Let h(v) be the third derivative of -v**6/24 - v**5/6 + 5*v**4/24 + 5*v**3/3 - 5*v**2. Factor h(l).
-5*(l - 1)*(l + 1)*(l + 2)
Let j(z) be the first derivative of 0*z**2 + 0*z - 1/20*z**4 + 1 + 1/15*z**3. Solve j(r) = 0 for r.
0, 1
Let v = 3/256 + 991/2816. Let z be 3*(-12)/44 + 1. Factor v*x + 2/11*x**2 + z.
2*(x + 1)**2/11
Let q(t) be the third derivative of t**8/3360 - t**6/360 + t**4/8 + 2*t**2. Let u(p) be the second derivative of q(p). Factor u(h).
2*h*(h - 1)*(h + 1)
Let r(s) be the first derivative of -9*s**5/5 - 6*s**4 - 4*s**3 + 11. Factor r(q).
-3*q**2*(q + 2)*(3*q + 2)
Let x = -461/3 - -155. Determine s, given that 1/3*s + x*s**2 + 0 = 0.
-1/4, 0
Suppose 2*j = 8*j - 102. Suppose -3*y - 2*p + j = 0, 3*y + p + 3*p = 19. Factor 0*i - 1/2*i**4 + 1/4*i**y + 1/4*i**3 + 0 + 0*i**2.
i**3*(i - 1)**2/4
Factor -13/4*n**2 - 1/2 - 11/4*n - n**3.
-(n + 1)*(n + 2)*(4*n + 1)/4
Let o(w) be the first derivative of -1/2*w**2 - 4/15*w**3 - 2 - 1/5*w. Determine v, given that o(v) = 0.
-1, -1/4
Let u be (-6)/(-24) + (-3 - -4). Let x be 0 - -1 - 1/2. Suppose -x - u*c + 4*c**2 - 9/4*c**3 = 0. Calculate c.
-2/9, 1
Let i = 6 + -4. Suppose -3*f + 4 = i*r - 4, -1 = -2*f + 3*r. Find n, given that -37*n + 15*n - 14*n + 27*n**f + 12 = 0.
2/3
Suppose 2*u - 5*x = 6*u - 69, -4*x - 12 = 0. Let v(q) = -q**2 + 23*q - 39. Let b be v(u). Factor -2/3 + 0*w**2 - w + 1/3*w**b.
(w - 2)*(w + 1)**2/3
Suppose 8 = 2*m + 2*m. Find d, given that -3*d**2 - 2*d + d**2 + d**3 + d**3 + m = 0.
-1, 1
Let k = 379/60 + -25/4. Let f(a) be the second derivative of 0*a**2 + 0 + a + 3/10*a**5 + 1/3*a**3 - 1/2*a**4 - k*a**6. Factor f(l).
-2*l*(l - 1)**3
Let h(r) be the third derivative of -r**9/272160 - r**8/15120 - r**7/1890 - r**6/405 + r**5/12 + 2*r**2. Let v(k) be the third derivative of h(k). Factor v(q).
-2*(q + 2)**3/9
Suppose 35 = -0*d - 5*d. Let w be ((-292)/14)/(9/d). Factor -112/9*i**4 - 86/9*i**2 - 2/9 + w*i**3 + 22/9*i + 32/9*i**5.
2*(i - 1)**3*(4*i - 1)**2/9
Let w(g) be the third derivative of g**7/10 + 5*g**6/12 - 89*g**5/45 + 25*g**4/9 - 16*g**3/9 - 11*g**2. Find q such that w(q) = 0.
-4, 2/7, 2/3
Suppose -a = -4 + 1. Let i be 2/(-3) + (-22)/(-6). Find k such that -k**2 - 4*k**i - k - 3*k**a + 9*k**3 = 0.
-1/2, 0, 1
Let v(a) = a**2 - 9*a - 10. Let p(u) = -u - 1. Let n(j) = -15*p(j) + 3*v(j). Factor n(d).
3*(d - 5)*(d + 1)
Suppose -11 = -7*m + 10. Factor -1/3*o + 1/3*o**m + 0 + 0*o**2.
o*(o - 1)*(o + 1)/3
Factor 119*t**4 + 30 - 241*t**4 + 27*t - 33*t**2 - 27*t**3 + 125*t**4.
3*(t - 10)*(t - 1)*(t + 1)**2
Suppose -4*c = 2*o - 26, -4*o = -0*o - 20. Find y, given that -2*y + 6 + y**2 - c + y**3 - 3 + y = 0.
-1, 1
Suppose 3*y = -0*y - 12. Let o(b) = b - 4 - 4*b**2 - 7*b + 2*b + 3*b**3. Let d(l) = -l**3 + 1. Let c(r) = y*d(r) - o(r). Solve c(z) = 0 for z.
-2, 0
Let g be 36/6 + (3 - -1 - 7). Determine f so that 5/2*f + 1/2*f**5 + 5*f**g - 5*f**2 - 5/2*f**4 - 1/2 = 0.
1
Let a(z) be the third derivative of -z**5/30 + z**4/12 - 15*z**2. Factor a(o).
-2*o*(o - 1)
Let u(c) be the second derivative of -c**8/10080 - c**7/3780 - c**4/4 + 3*c. Let g(r) be the third derivative of u(r). Factor g(o).
-2*o**2*(o + 1)/3
Factor 0 + 7/2*a + 3*a**2 - 1/2*a**3.
-a*(a - 7)*(a + 1)/2
Suppose -2*y = y - 6. Factor -4*a - 4*a**y + 5*a - 2*a - 6*a**3 - 4*a**4 - a**5.
-a*(a + 1)**4
Let y(i) be the second derivative of 3*i**5/10 + 23*i**4/4 - 6*i**3 + 33*i. Factor y(b).
3*b*(b + 12)*(2*b - 1)
Let q(y) be the first derivative of y**6/10 - 6*y**5/25 + 3*y**4/20 - 15. Let q(v) = 0. Calculate v.
0, 1
Suppose 0 + 8/9*f**2 + 16/9*f**3 + 2/9*f**5 + 10/9*f**4 + 0*f = 0. What is f?
-2, -1, 0
Let r = -38 - -53. Factor -3 + t**3 - 12*t**2 - 7*t**3 + r*t**2 + 8*t - 2*t.
-3*(t - 1)*(t + 1)*(2*t - 1)
Let i(q) be the second derivative of q**7/12600 + q**6/450 + 2*q**5/75 + q**4/6 - 6*q. Let g(t) be the third derivative of i(t). What is k in g(k) = 0?
-4
Factor -18/5*y + 81/5 + 1/5*y**2.
(y - 9)**2/5
Let a(k) be the first derivative of 2/9*k**3 + 2/45*k**5 + 0*k + 3 + 1/9*k**2 + 1/6*k**4. Factor a(v).
2*v*(v + 1)**3/9
Let o(m) be the second derivative of 1/6*m**2 + m + 1/30*m**5 - 1/126*m**7 + 0 + 1/90*m**6 - 1/18*m**4 - 1/18*m**3. Factor o(w).
-(w - 1)**3*(w +