 Let p = b + 17. Let -3*j - 7*j + 1 - 5 - j**3 + 2*j - 5*j**p = 0. What is j?
-2, -1
Suppose -3*y = y, 4*y - 28 = -4*z. Factor -2*w**2 + z*w**3 + 14*w**2 - 4*w**3 + w**3.
4*w**2*(w + 3)
Let b(n) = n**2 + n - 1. Let y(r) = -7*r**3 - 16*r**2 - 3*r + 4. Let u(l) = 6*b(l) - 3*y(l). Let u(g) = 0. What is g?
-2, -1, 3/7
Let j(t) be the third derivative of 0*t - 1/60*t**6 - 12*t**2 - 1/15*t**5 + 2/3*t**3 + 1/12*t**4 + 0. Suppose j(p) = 0. Calculate p.
-2, -1, 1
Let z(v) = -4*v**4 + 64*v**3 - 382*v**2 + 960*v - 903. Let x(f) = -4*f**4 + 64*f**3 - 380*f**2 + 960*f - 902. Let u(i) = 3*x(i) - 2*z(i). Factor u(d).
-4*(d - 5)**2*(d - 3)**2
Let g = -57 + 67. Suppose -6 = -g*q + 7*q. Factor 1/4*i - 1/4*i**3 + 1/4 - 1/4*i**q.
-(i - 1)*(i + 1)**2/4
Let o(r) be the second derivative of -4*r**7/21 + r**6/3 + 11*r**5/20 - 5*r**4/6 - r**3/2 - 2*r + 4. What is k in o(k) = 0?
-1, -1/4, 0, 1, 3/2
Factor 5*t + 25/2*t**4 + 101/2*t**2 + 130*t**3 + 0.
t*(t + 10)*(5*t + 1)**2/2
Let p(m) = 2*m**2 + 9*m + 6. Let a be p(-4). Suppose 2 = -3*d + 4*i - 1, 5*i - 9 = a*d. Factor -8/5*h**d + 8/5*h**2 + 4/5 - 12/5*h**4 - 4/5*h**5 + 12/5*h.
-4*(h - 1)*(h + 1)**4/5
Let q = -37 + 44. Find a such that -q*a**3 + 12*a**3 - 2*a**4 - 9*a**3 = 0.
-2, 0
Let x(z) be the second derivative of 1/18*z**3 + 1/120*z**5 - 1/24*z**4 + 0*z**2 + 0 - 10*z. Suppose x(s) = 0. What is s?
0, 1, 2
Find f, given that -2542 - 183*f + f**2 - 3*f**2 + 1033 - 1083 + 39*f = 0.
-36
Let b(m) be the second derivative of 4/7*m**2 + 0 + 4/7*m**3 - 10*m + 5/42*m**4. Suppose b(g) = 0. What is g?
-2, -2/5
Let t be (18/15)/(3/5). Let z be 3*2/9 + 0. Determine s so that 0 + 2/3*s**5 + t*s**4 + 2*s**3 + 0*s + z*s**2 = 0.
-1, 0
Let x(p) be the first derivative of -375/2*p**2 - 11 - 65/3*p**3 - 975*p. Let s(b) = 8*b**2 + 47*b + 122. Let z(n) = -25*s(n) - 3*x(n). What is r in z(r) = 0?
-5
Let n(s) be the first derivative of -5*s**4/12 + 20*s**3/3 - 40*s**2 - 38*s - 49. Let l(h) be the first derivative of n(h). Factor l(o).
-5*(o - 4)**2
Suppose 11 = 5*z + 4*f, 4*z + 4*f = -0*f + 8. Let p(g) be the third derivative of 0*g + 0*g**z + 0*g**4 - 1/30*g**5 + g**2 + 0 - 1/24*g**6. Factor p(v).
-v**2*(5*v + 2)
Let q be (-243)/378*(-1)/3. Let o(j) be the second derivative of q*j**2 + 0 - 1/7*j**3 - 2*j + 1/28*j**4. Solve o(m) = 0.
1
Let h be 7*4/(2 + (2 - -2)). Factor 4 - 2/3*t**3 + h*t + 0*t**2.
-2*(t - 3)*(t + 1)*(t + 2)/3
Let n = 5 - 4. Let x = 7 + n. What is t in t**2 - t**2 + 0*t**2 + x*t - 8 - 2*t**2 = 0?
2
Let y(f) be the second derivative of -f**6/10 + 3*f**5/4 - 3*f**4/2 + 44*f. Solve y(i) = 0.
0, 2, 3
Let i(z) = -5*z + 22*z**2 - z**3 - 14 + 5 - 14*z**2. Let p be i(7). What is o in 0 - 1/3*o - 15*o**p + 22/3*o**3 - 8*o**4 + 0*o**2 = 0?
-1, -1/5, 0, 1/3
Let j(v) = -v**3 + 27*v**2 - 24*v - 49. Let q be j(26). Solve 2/7*k**5 - 76/7*k**2 + 50/7*k**q + 8*k - 16/7 - 16/7*k**4 = 0.
1, 2
Let j be (-3631)/(-10893)*((-1)/(-3))/((-2)/(-6)). Determine r, given that -j*r**2 - 10/3 + 7/3*r = 0.
2, 5
Let p = 192 + -192. Let t(q) be the second derivative of 2/15*q**3 + 1/5*q**2 + p + q + 1/30*q**4. Factor t(f).
2*(f + 1)**2/5
Suppose 5*j - 44 = 3*m, -60 = -5*j + m - 12. Suppose 0 = -x + 70 - j. Let -45/2*h - x*h**2 - 3 - 75*h**3 - 45*h**4 - 21/2*h**5 = 0. Calculate h.
-1, -2/7
Let f = 20569/12 + -1714. Let r(d) be the third derivative of -1/240*d**5 + 0 + 1/32*d**4 - 1/160*d**6 - 1/840*d**7 + 0*d + f*d**3 - 6*d**2. Factor r(n).
-(n - 1)*(n + 1)**2*(n + 2)/4
Determine p so that -1223*p - 555*p**3 - 112 - 77*p - 167 - 81 - 1490*p**2 - 45*p**4 = 0.
-9, -2, -2/3
Let m(g) = 2*g**2 + 3*g + 1. Let x be m(-3). Suppose 6*v - x = v. Solve -3*o**2 - 16 + v*o**2 + 16 = 0.
0
Let b be (-2)/4*-2*0/(-80). Solve 4*s**2 + b - s**3 - 4*s**4 + 9/5*s**5 - 4/5*s = 0.
-1, 0, 2/9, 1, 2
Let d = -108 + 56. Let s = -49 - d. Suppose 2/7*c**2 + 0*c**s + 0 - 2/7*c**4 + 0*c = 0. What is c?
-1, 0, 1
Let i(y) = 5*y**2 + 244*y + 2876. Let g(v) = 5*v**2 + 243*v + 2877. Let c(o) = -4*g(o) + 3*i(o). Suppose c(n) = 0. Calculate n.
-24
Let w = 844 - 834. Let u(d) be the third derivative of w*d**2 + 0*d**4 - 1/3*d**3 + 0 + 0*d + 1/30*d**5. Factor u(y).
2*(y - 1)*(y + 1)
Let y(n) = -55*n**2 - 3500*n - 52810. Let r(a) = 5*a**2 + 318*a + 4801. Let w(z) = 45*r(z) + 4*y(z). Let w(i) = 0. What is i?
-31
Suppose 11*n - 12 = 7*n. Suppose -4 = -n*t + t. Factor -38 - 6*b**3 + 3*b + 38 + 3*b**t.
-3*b*(b - 1)*(2*b + 1)
Let o(m) be the first derivative of -4*m**3/15 + 3*m**2/5 - 2*m/5 - 4. Factor o(h).
-2*(h - 1)*(2*h - 1)/5
Let k = -752 + 755. Let 12/7*a**k - 20/7*a**2 + 8/7*a + 0 = 0. Calculate a.
0, 2/3, 1
Suppose 5*m - 3 = 3*z, 0 = m - 4*z + 18 - 5. Let q(s) be the second derivative of -4*s + 0 - 1/6*s**2 + 4/9*s**m - 4/9*s**4. Factor q(x).
-(4*x - 1)**2/3
Suppose 11 + 1 = 4*l - 4*x, 5 = 5*x. Suppose 3*f - 5*s = -9, -5*f + 0*f = l*s - 22. Solve -2 + 2*b**f + 3 - 1 = 0 for b.
0
Let z(r) be the third derivative of r**5/12 + 5*r**4/24 - 35*r**3 + 48*r**2. Factor z(q).
5*(q - 6)*(q + 7)
Suppose 70*i - 24 = 62*i. Let a(w) be the first derivative of -4/9*w**2 + 0*w - 1/18*w**4 - 8/27*w**i + 7. Factor a(h).
-2*h*(h + 2)**2/9
Factor 50/3*v**2 + 112*v + 2/3*v**3 + 96.
2*(v + 1)*(v + 12)**2/3
Let n(o) be the third derivative of 2*o**7/35 + o**6/15 - o**5/5 - o**4/3 + 5*o**2 + o. Determine h, given that n(h) = 0.
-1, -2/3, 0, 1
Let g(m) be the first derivative of 4*m**6/21 - 4*m**5/35 - 36*m**4/7 - 184*m**3/21 + 4*m**2/7 + 60*m/7 + 8. Solve g(c) = 0 for c.
-3, -1, 1/2, 5
Let y be (12/10)/((-24)/80). Let n be -5*27/45 + (-18)/y. Factor n*d**4 - 3/2*d**2 - 3/4*d**5 + 0 + 0*d**3 + 3/4*d.
-3*d*(d - 1)**3*(d + 1)/4
Let d(n) be the second derivative of n**4/21 - 6*n**3/7 + 16*n**2/7 + 34*n - 2. Factor d(f).
4*(f - 8)*(f - 1)/7
Let s(x) be the first derivative of -2*x**5/5 + x**4 - 2*x**3/3 + 126. Find p, given that s(p) = 0.
0, 1
Factor -6*j - 1512*j**2 - 35*j**3 + 6*j - 2*j**5 - 25*j**4 - 3*j**5 + 1497*j**2.
-5*j**2*(j + 1)**2*(j + 3)
Let m(t) be the third derivative of -2*t**7/105 + 11*t**6/15 + 20*t**5/3 + 52*t**4/3 + 97*t**2 - 2*t. Suppose m(o) = 0. What is o?
-2, 0, 26
Determine l, given that 337*l + 604*l + 100*l**4 + 100 + 2293*l**2 - 960*l**3 - 189*l**2 + 19*l = 0.
-1/5, 5
Let f be (-2 + 7/5)/(483/(-70) - -6). Find u, given that -2/3*u**3 - f*u**2 + 8/3 + 8/3*u = 0.
-2, -1, 2
Let q = 23 - 28. Let z(h) = -2*h**2 + 5*h - 17. Let x(n) = -3*n**2 + 7*n - 26. Let p(c) = q*x(c) + 8*z(c). Factor p(u).
-(u - 3)*(u - 2)
Let k(o) be the first derivative of -7/2*o**2 - 2/21*o**3 + 1/420*o**6 - 4 + 0*o**5 - 1/28*o**4 + 0*o. Let s(h) be the second derivative of k(h). Factor s(a).
2*(a - 2)*(a + 1)**2/7
Let s = 433/273 + 5/39. Let i be 90/(-189)*(-72)/16. Factor -24/7 + s*d + 18/7*d**2 - i*d**3 + 3/7*d**4.
3*(d - 2)**3*(d + 1)/7
Let w(j) be the first derivative of j**3 - 9/5*j**5 - 14 - 39/4*j**4 - 54*j + 99/2*j**2. Suppose w(m) = 0. Calculate m.
-3, 2/3, 1
Suppose -3 = -18*h + 16*h + f, -2*f = -2*h - 2. Let l(j) be the second derivative of 0 + 1/12*j**h + 3*j - 2/3*j**2 + 1/60*j**5 + 0*j**3. Solve l(x) = 0.
-2, 1
Let k(n) be the first derivative of -8*n**3/3 - 7*n**2 + 30*n + 79. Factor k(d).
-2*(d + 3)*(4*d - 5)
Let w(b) = -5*b - 2. Let j be w(-4). Let z = -12 + j. Factor -3*s**2 - 6 + 4 + z*s - 1.
-3*(s - 1)**2
Let y(n) be the third derivative of -n**8/112 - 17*n**7/70 - 31*n**6/20 + 49*n**5/10 + 63*n**4/8 - 81*n**3/2 + 300*n**2. What is c in y(c) = 0?
-9, -1, 1
Let s(j) be the first derivative of 2*j**6/27 + 16*j**5/45 - 26. Factor s(d).
4*d**4*(d + 4)/9
Let h(y) be the third derivative of 4*y**7/105 - 17*y**6/90 + y**5/5 + y**4/9 - 3*y**2 - 14*y. Let h(m) = 0. What is m?
-1/6, 0, 1, 2
Factor -37/4*x + 9/4*x**3 + 1/4*x**4 + 3/4*x**2 + 6.
(x - 1)**2*(x + 3)*(x + 8)/4
Let d(p) be the third derivative of -p**5/390 - 7*p**4/52 + 22*p**3/39 - 352*p**2. Factor d(s).
-2*(s - 1)*(s + 22)/13
Determine k so that 1/2*k**2 + 25 - 15/2*k = 0.
5, 10
Let l be (3 + -1 - (-90)/(-40)) + 15/30. Factor 0*n + 1/2*n**2 + 0 - l*n**3.
-n**2*(n - 2)/4
Let b(k) = 9*k**3 + 15*k**2 + 51*k + 37. Let g(l) = 5*l**3 + 8*l**2 + 26*l + 18. Let u(s) = 6*b(s) - 11*g(s). Factor u(t).
-(t - 6)*(t + 2)**2
Let b be 2/(-5) + (20444/(-7840) - -3). Let h = 2319/4312 - b. Factor -4/11 - h*a - 2/11*a**2.
-2*(a + 1)*(a + 2)/11
Let g(i) be the third de