 0.
-1, 0
Let a = -38910 + 38912. What is o in 0 - 1/2*o**a - 3/2*o = 0?
-3, 0
Factor 4 - 3*b - 2*b**4 - 10*b**2 + 6*b**3 - 3*b + 8*b**2.
-2*(b - 2)*(b - 1)**2*(b + 1)
Factor 1/5*m**4 + 47/5*m**2 - 13/5*m**3 + 24/5 - 59/5*m.
(m - 8)*(m - 3)*(m - 1)**2/5
Let w(h) = h**2 + h + 1. Let o(f) = -2*f**2 - 1. Suppose -3*n - 2 = -n. Let b(m) = n*w(m) - o(m). Let b(a) = 0. Calculate a.
0, 1
Let l(x) be the second derivative of 0*x**2 + 0*x**5 - 13*x + 5/4*x**4 + 5/3*x**3 - 1/6*x**6 + 0. Solve l(t) = 0.
-1, 0, 2
Let p = 118 + -118. Suppose 3*o + 4*f - 9 = p, -3*f + 9 = 10*o - 7*o. Find v such that -1/2 - 5/2*v + o*v**2 = 0.
-1/6, 1
Determine c so that -5/3*c**2 - 34/3*c + 7/3 = 0.
-7, 1/5
Let t(g) be the first derivative of -g**6/39 - 2*g**5/13 + 17*g**4/13 - 44*g**3/39 - 33*g**2/13 + 54*g/13 + 137. Suppose t(o) = 0. What is o?
-9, -1, 1, 3
Let g(k) be the third derivative of -3*k**5/100 - 4*k**4/3 + 6*k**3/5 + 22*k**2 + 2*k. Solve g(d) = 0.
-18, 2/9
Let v(b) be the first derivative of 5/18*b**3 - 2 - 2*b + 1/60*b**5 + 1/3*b**2 + 1/9*b**4. Let f(n) be the first derivative of v(n). Factor f(i).
(i + 1)**2*(i + 2)/3
Let p be (-4)/14*658/(-282). Factor 0 + 18*t**2 + p*t**4 - 18*t - 6*t**3.
2*t*(t - 3)**3/3
Suppose 3*a = 3*l - 30, -a = l - 0*a - 6. Solve -15*x**2 - 4*x**2 + 15*x**2 - 2*x**5 - 10*x**3 - l*x**4 = 0.
-2, -1, 0
Let c(n) = -2*n**2 + 16*n - 24. Let j be c(6). Let r(l) be the third derivative of 0*l + 0*l**3 - 2*l**2 + 1/12*l**4 - 1/15*l**6 + 1/10*l**5 + j. Factor r(o).
-2*o*(o - 1)*(4*o + 1)
Let b(f) = -3*f**3 - f**2 + 13*f + 3. Let t be b(0). Find u, given that 1/2*u**2 - 1/3*u + 0 - 1/6*u**t = 0.
0, 1, 2
Let -3/8*u**2 - 9/2 - 39/8*u = 0. What is u?
-12, -1
Suppose 44*t + 11*t = 15*t. Factor 0*f - 3/4*f**2 + t.
-3*f**2/4
Suppose 4*r - 6 - 10 = 0. Factor -2*o**2 - 5*o - 3*o - 2 + r*o.
-2*(o + 1)**2
Let b(a) be the second derivative of -3*a**6/40 + a**5/5 + 5*a**4/6 - 8*a**3/3 - 2*a**2 - 76*a. Find o, given that b(o) = 0.
-2, -2/9, 2
Let j = -623 + 628. Let c(w) be the third derivative of -1/21*w**3 - 5/84*w**4 + 0*w + 9*w**2 - 2/105*w**j + 0. Factor c(y).
-2*(y + 1)*(4*y + 1)/7
Let x(o) be the second derivative of -2*o**7/21 - 8*o**6/15 - 6*o**5/5 - 4*o**4/3 - 2*o**3/3 + 3*o + 5. Determine h so that x(h) = 0.
-1, 0
Let s = 23 + -19. Suppose s*x = -4*h + 156, 4*x - 74 = -3*h + 84. Let -43*c**5 - x*c**5 + 81*c**5 = 0. Calculate c.
0
Suppose n + 11 = v, -3*n = -v - 7*n - 24. What is o in -o**3 + 1/2*o + 0*o**2 + 0 + 0*o**v + 1/2*o**5 = 0?
-1, 0, 1
Let z(f) be the third derivative of f**6/1020 + f**5/170 + f**4/102 - 30*f**2. Factor z(k).
2*k*(k + 1)*(k + 2)/17
Suppose 4*s = -4*s + 32. Let -1 + 12 - 5 + 9*x - x**2 + s*x**2 = 0. What is x?
-2, -1
Let 164*x + 20*x**4 - 86*x + 12*x**3 - 18*x**2 - 110*x**2 - 30*x = 0. Calculate x.
-3, 0, 2/5, 2
Let -75/4*c**3 - 53/4*c**2 + 0 + 9/2*c - c**4 = 0. Calculate c.
-18, -1, 0, 1/4
Let z be 164/(-1722) + 6/14. What is t in z*t**2 + 0*t + 0 + 2/3*t**3 + 1/3*t**4 = 0?
-1, 0
Let w(r) = -4*r**5 - 66*r**4 - 10*r**3 + 10*r + 10. Let p(y) = -y**5 - 22*y**4 - 3*y**3 + 3*y + 3. Let c(j) = 20*p(j) - 6*w(j). Factor c(k).
4*k**4*(k - 11)
Let q(b) = b**5 - b**4 + b**2 - b - 1. Let y(o) = 8*o**5 - 24*o**4 + 62*o**3 - 96*o**2 + 74*o - 30. Let l(m) = -6*q(m) + y(m). Let l(c) = 0. What is c?
1, 2, 3
Suppose 0 = 16*d + 17 - 177. Solve -5*h + 36*h**3 - 10*h**4 - 5*h**5 + 24*h**3 - 50*h**3 - d + 20*h**2 = 0 for h.
-2, -1, 1
Let g(h) = -3*h. Suppose 3*q = 4*q. Let t be 20/4 - (q + 1). Let c(s) = s**2 - 2*s + 1. Let i(y) = t*g(y) - 3*c(y). Solve i(r) = 0 for r.
-1
Suppose 3*w + 3*s = -0*s + 30, 5*w - s = 56. Let l(c) be the second derivative of -1/30*c**4 + 0*c**2 - 2/15*c**3 + 0 + w*c. Suppose l(h) = 0. What is h?
-2, 0
Let q(a) be the second derivative of a**5/60 + 2*a**4/27 - 11*a**3/54 - 2*a + 65. Factor q(j).
j*(j - 1)*(3*j + 11)/9
Let j be 120/9*6/4. Suppose -r = -3*c - 5, -4*c - c - 4*r + j = 0. Factor c*w**3 - w**5 - 2*w**4 + 0*w**3 + 2*w**2 + 3*w - 2*w.
-w*(w - 1)*(w + 1)**3
Let t = -2471/18 + 275/2. Factor -t*m**2 + 2/9*m + 4/9.
-2*(m - 2)*(m + 1)/9
Let j(p) be the second derivative of -p**6/10 - 3*p**5/20 + 4*p**4 - 10*p**3 + p - 58. Factor j(k).
-3*k*(k - 2)**2*(k + 5)
Let v(q) be the first derivative of q**6/64 - 3*q**5/160 - q**4/32 + q**2 + 8. Let x(y) be the second derivative of v(y). Factor x(z).
3*z*(z - 1)*(5*z + 2)/8
Let i(b) = -5*b**4 - 59*b**3 - 95*b**2 - 49*b. Let f(j) = -j**3 - j. Let s(g) = 4*f(g) - i(g). Factor s(h).
5*h*(h + 1)**2*(h + 9)
Let v(h) = -h**4 + h**3. Let x(q) = -6*q**5 + 99*q**4 + 39*q**3 - 216*q**2 + 84*q. Let k(j) = 18*v(j) + x(j). Solve k(d) = 0 for d.
-2, 0, 1/2, 1, 14
Let d(c) be the first derivative of -4*c**5/15 - 86*c**4/3 - 7396*c**3/9 + 816. Factor d(s).
-4*s**2*(s + 43)**2/3
Let y(u) be the second derivative of u**4/42 + 11*u**3/21 + 24*u**2/7 + 718*u. Factor y(c).
2*(c + 3)*(c + 8)/7
Suppose -40*a + 70 = -38*a. Suppose 3*q + k - 9 = q, -5*q - 5*k + a = 0. Factor -4/5*g + 6/5 - 2/5*g**q.
-2*(g - 1)*(g + 3)/5
Let t(r) be the second derivative of -r**6/10 + 15*r**5/2 - 625*r**4/4 - r + 13. Let t(q) = 0. What is q?
0, 25
Let z = -201 + 206. Let q(b) be the second derivative of 1/60*b**z - 1/9*b**4 - 1/3*b**2 + 0 + 5/18*b**3 + 5*b. Factor q(p).
(p - 2)*(p - 1)**2/3
Let l(j) = j - 1. Let b be l(6). Let v(g) = -g**3 + 6*g**2 - 4*g - 4. Let y be v(b). Determine p, given that -3 + y - 1 - 3*p**2 - 6*p = 0.
-1
Suppose -29*j = -3*j. Factor 2/9*y + 5/9*y**2 + j.
y*(5*y + 2)/9
Suppose 0 = -2*o + 22 + 10. Factor 8*t - 2*t**2 - o + 5 + 3.
-2*(t - 2)**2
Suppose 4*o + 10 = 5*z, -3*o - 2 = -z - 0*o. Solve 2*q**4 - 10*q**z + 2 - 7*q + 6*q**2 + 7*q = 0 for q.
-1, 1
Let j be (20/(-16))/((-2)/(72/30)). Let z(t) be the first derivative of 12/5*t**5 - 4*t**3 + 11 + 3/4*t**4 + 0*t - j*t**2. Suppose z(x) = 0. Calculate x.
-1, -1/4, 0, 1
Let u(b) be the third derivative of -5/12*b**4 - 20/3*b**3 + 1/12*b**5 + 8*b - 2*b**2 + 0. Factor u(c).
5*(c - 4)*(c + 2)
Let j(a) = -5*a + 149. Let u be j(29). Find b such that -1/7*b**2 + 1/7*b**u - 2/7*b**3 + 0 + 2/7*b = 0.
-1, 0, 1, 2
Let g = 14 + -6. Suppose 18*m + 2*m**4 - 4*m**2 + 2*m**3 - g*m**3 + 6*m - 16 = 0. Calculate m.
-2, 1, 2
Let v(q) be the third derivative of 3*q**8/560 - 17*q**7/350 + 33*q**6/200 - 23*q**5/100 + 2*q**3/5 + 56*q**2 + 4*q. Solve v(d) = 0.
-1/3, 1, 2
Let l(p) = p**2 - 6*p + 4. Let y be l(7). Let t = y + 19. Determine r, given that 14*r**2 - 8 + 56*r**3 - 20*r**3 - t*r**3 = 0.
-2, -1, 2/3
Let j(a) be the third derivative of -2*a**5/75 + 29*a**4/120 + 2*a**3/5 + 2*a**2 + 17. Factor j(v).
-(v - 4)*(8*v + 3)/5
Let d(h) be the first derivative of -3*h**4/8 - 27*h**3 - 729*h**2 - 8748*h + 48. Factor d(a).
-3*(a + 18)**3/2
What is o in 2/3*o**2 + 128/3 - 40/3*o = 0?
4, 16
Let x be (3/(-4))/(324/(-72)). Let b(v) be the second derivative of -x*v**4 - 4*v + 0*v**3 + 0*v**2 - 7/20*v**5 - 1/6*v**6 + 0. Factor b(z).
-z**2*(z + 1)*(5*z + 2)
Let z = 1/215 + -2802/1505. Let o = z - -79/35. Determine a so that 6/5*a - o - 6/5*a**3 + 2/5*a**2 = 0.
-1, 1/3, 1
Let j = -38 + 40. Let h(g) be the third derivative of 0 - 5*g**j - 1/3*g**3 + 1/8*g**4 + 0*g**5 + 0*g - 1/120*g**6. Find n such that h(n) = 0.
-2, 1
Let f = -21 + 17. Let w = f - -17/4. Factor 0 + 0*c + w*c**3 - 1/4*c**2.
c**2*(c - 1)/4
Let t(g) be the first derivative of g**7/1400 + g**6/200 + 3*g**5/200 + g**4/40 + 2*g**3 + 2. Let p(r) be the third derivative of t(r). Factor p(h).
3*(h + 1)**3/5
Factor 1/8*q**2 + 3/8*q**3 - 3/8*q + 1/8*q**4 - 1/4.
(q - 1)*(q + 1)**2*(q + 2)/8
What is p in 12/5*p + 30*p**4 + 3*p**3 - 12*p**2 + 63/5*p**5 + 0 = 0?
-2, -1, 0, 2/7, 1/3
Determine i, given that 2809*i - i**4 + 7*i**3 - 109*i**3 - 3*i**3 - 5241 - 2703*i**2 + 5241 = 0.
-53, 0, 1
Let w(n) = 4*n. Let o(f) = 2*f**2 + 16*f + 80. Let u(p) = -o(p) - 3*w(p). Factor u(q).
-2*(q + 4)*(q + 10)
Let m(p) be the second derivative of 2*p**5/35 - 25*p**4/6 - 32*p**3/3 - 45*p**2/7 + 297*p. Solve m(d) = 0.
-1, -1/4, 45
Let a(p) = -p**3 - 4*p**2 + 3*p - 5. Let t be a(-5). Let i = 8 - t. Let -5*m**i - 17*m**4 + 12*m + 5*m**4 - 3*m**5 - 4*m**3 + 12*m**2 = 0. Calculate m.
-2, -1, 0, 1
Let p be (-1 - (-62)/70)/(90/1275). Let c = -2/7 - p. Solve 1/3*n**3 - 2/3 + 5/3*n - c*n**2 = 0 for n.
1, 2
Determine u so that 15/4 - 17/8*u + 1/8*u*