 What is h?
-1, 0, 3
Let z = -75 + 189. Suppose -224*i**3 - 82*i**4 + 97*i - i - 14 + 104*i**2 - z*i**4 - 22 = 0. What is i?
-1, 3/7
Let f = -1 + 3. Factor 7*r**f + 4*r**3 + r**5 + 0*r**5 - 3*r**2 - 4*r**4 - 5*r**5.
-4*r**2*(r - 1)*(r + 1)**2
Let l(f) be the third derivative of -f**9/332640 + f**7/27720 - 9*f**5/20 - 25*f**2. Let h(n) be the third derivative of l(n). Factor h(c).
-2*c*(c - 1)*(c + 1)/11
Let g = 15 - 11. Let k = 133 - 119. Factor h**2 + 2*h**2 + k*h**g - 17*h**4.
-3*h**2*(h - 1)*(h + 1)
Find b, given that 1838 + 2053 - 250*b + 0*b**2 - 766 + 5*b**2 = 0.
25
Let w be (117/(-27) + 4)*-1 - (1 + -1). Factor -16/3 + 8/3*k - w*k**2.
-(k - 4)**2/3
Let c = -8280/11 + 33505/44. Factor -45/4*m**3 - c*m**4 + 0 - 5/2*m**2 + 0*m.
-5*m**2*(m + 1)*(7*m + 2)/4
Let o(t) be the third derivative of 1/27*t**4 + 0 + 0*t + 0*t**3 - 1/270*t**5 - 6*t**2. Factor o(p).
-2*p*(p - 4)/9
Let b(n) be the first derivative of -n**4/48 + n**3/12 + 3*n**2/8 + 11*n + 2. Let w(z) be the first derivative of b(z). Factor w(y).
-(y - 3)*(y + 1)/4
Let m(y) be the first derivative of -y**3/9 + 13*y**2/3 + 9*y - 93. Factor m(f).
-(f - 27)*(f + 1)/3
Suppose -4*x**5 - 3*x + 0 + 16 + 7*x**3 - x**2 - 4 - 11 = 0. What is x?
-1, 1/2, 1
Let r = -120 - 28. Let f = r + 150. Factor -1/5*i**3 - 3/5*i**f + i - 2/5 + 1/5*i**4.
(i - 1)**3*(i + 2)/5
Let v = -213 - -4. Let j = v - -2301/11. Factor -j*d**2 - 2/11*d + 4/11.
-2*(d - 1)*(d + 2)/11
Let l = 192 + -192. Let o(z) be the second derivative of -1/13*z**3 - 2/13*z**2 + z - 1/78*z**4 + l. Solve o(j) = 0.
-2, -1
Let l(x) be the second derivative of -3*x**5/20 - 9*x**4/2 + 39*x**3/2 - 30*x**2 + 4*x - 7. Determine c, given that l(c) = 0.
-20, 1
Determine x, given that 32 - 6*x - 10*x + 4*x**3 + 193*x**2 - 201*x**2 = 0.
-2, 2
Let a(z) be the second derivative of 0 + 31*z - 1/54*z**4 + 0*z**2 + 2/27*z**3 - 1/27*z**6 - 4/45*z**5. Factor a(l).
-2*l*(l + 1)**2*(5*l - 2)/9
Let c(q) be the second derivative of -16/33*q**3 - 1/110*q**5 + 4*q + 0 + 4/33*q**4 + 0*q**2. Let c(r) = 0. Calculate r.
0, 4
Suppose 3*y - 10 = -2*f, 7*f = 10*f - 6. Let h(u) be the third derivative of 0 + 1/450*u**6 - 12*u**y + 0*u**3 + 0*u**4 - 1/450*u**5 + 0*u. Factor h(s).
2*s**2*(2*s - 1)/15
Let k be (726/18)/11 + -1. What is s in 3/2*s - s**4 - k*s**2 + 7/3*s**3 - 1/3 + 1/6*s**5 = 0?
1, 2
Let q(k) = -20*k**4 + 185*k**3 - 580*k**2 + 680*k - 135. Let j(l) be the second derivative of l**4/12 + l**3/6 + 14*l. Let x(h) = 5*j(h) - q(h). Factor x(n).
5*(n - 3)**3*(4*n - 1)
Let p = 7 + 4. Let x = 101 + -41. Factor -x*w**4 + 216*w**2 + 48 - 192*w - p*w**4 - 10*w**4.
-3*(w + 2)*(3*w - 2)**3
Let d(a) = -a**4 - 32*a**3 - 396*a**2 - 1692*a - 1333. Let x(p) = -2*p**4 - 63*p**3 - 792*p**2 - 3383*p - 2667. Let o(s) = 15*d(s) - 6*x(s). Factor o(r).
-3*(r + 1)*(r + 11)**3
Determine m, given that 1/3*m**2 + 0 - 22/3*m = 0.
0, 22
Let x(v) be the third derivative of -v**10/201600 + v**8/26880 - v**5/15 + 13*v**2. Let b(f) be the third derivative of x(f). Suppose b(r) = 0. Calculate r.
-1, 0, 1
Let d(j) = j**5 + j**4 + j**3 + j**2 - j - 1. Let q(n) = 6*n**5 - 34*n**3 + 4*n**2 + 12*n + 4. Let g(w) = -4*d(w) - q(w). Suppose g(t) = 0. What is t?
-2, -2/5, 0, 1
Solve -2/3*x**3 + 1/3 + 0*x**4 - 1/3*x**2 + 1/6*x**5 + 1/2*x = 0 for x.
-1, 1, 2
Let k be 1/((-11)/(-2)) + (-100)/(-55). Factor 14*o - 3*o**3 - 20*o**k - 4*o**2 + 0*o**3 - 62*o.
-3*o*(o + 4)**2
Let -17*h**4 - 8*h**3 + 60*h**2 + 52*h**4 - 5*h**5 - 38*h**3 - 34*h**3 = 0. What is h?
0, 2, 3
Suppose -5*h = -7*h + 342. Let y = -171 + h. Find f, given that -1/3*f**4 + y*f**3 - 1/3 + 2/3*f**2 + 0*f = 0.
-1, 1
Let w(g) be the third derivative of 0*g**4 + 0*g + 0*g**3 + 1/150*g**5 - g**2 - 1/150*g**6 + 0. What is r in w(r) = 0?
0, 1/2
Let g(z) be the second derivative of -15*z + 1/90*z**5 + 0*z**2 + 0 - 2/27*z**4 + 1/9*z**3. Determine t, given that g(t) = 0.
0, 1, 3
Determine w, given that 2/9*w**5 + 6*w + 12 - 12*w**2 + 0*w**4 - 56/9*w**3 = 0.
-3, -1, 1, 6
Let m(j) = -j**2 - 8*j - 5. Let d be m(-7). Let q be ((-6)/6 - -10) + 2 + -1. Factor u + 6 - 4*u + 3*u**2 + q*u + d*u.
3*(u + 1)*(u + 2)
Let a = -1223/33 + 481/11. Determine z, given that a*z - 4/3*z**2 - 4 - 4/3*z**3 = 0.
-3, 1
Let j(o) = -o**3 + 20*o**2 + 47*o - 50. Let d be j(22). Let x be 34/10 - 8/20. Let -2*r**x + d*r**2 - 2*r**3 - 20*r**2 = 0. What is r?
-1, 0
Let p(m) = -6*m**4 + 9*m**3 - 4*m**2 - 1. Let j(i) = i**2 + 1. Suppose 0*y + 18 = -2*y. Let b = y - -10. Let g(s) = b*j(s) + p(s). Factor g(u).
-3*u**2*(u - 1)*(2*u - 1)
Let u(p) be the second derivative of -p**6/75 + p**5/2 - 11*p**4/15 - 16*p**3/5 - 7*p. Find g such that u(g) = 0.
-1, 0, 2, 24
Factor 283*d**2 - d**5 - 283*d**2 - 3*d**4 - 2*d**5.
-3*d**4*(d + 1)
Let c(s) = s**4 + 2*s**3 - s**2 - s. Let l(p) = -37*p**4 + 230*p**3 - 541*p**2 + 343*p. Let x(q) = -5*c(q) - l(q). Determine j, given that x(j) = 0.
0, 1, 13/4
Let m(y) = -y**2 + 7*y + 4281. Let v be m(69). Factor -2/7*f**2 + 0 + 2/7*f**4 + 2/7*f - 2/7*f**v.
2*f*(f - 1)**2*(f + 1)/7
Let a(m) = 2*m**3 + 13*m**2 - 20*m - 43. Let f = -25 - -28. Let o(y) = -y**3 - 14*y**2 + 20*y + 44. Let u(s) = f*o(s) + 4*a(s). Determine k so that u(k) = 0.
-2, 2
Let x(v) be the first derivative of 4*v**6/3 - 44*v**5/5 + 21*v**4 - 64*v**3/3 + 8*v**2 - 27. Let x(y) = 0. Calculate y.
0, 1/2, 1, 2
Suppose 80*u - 26*u**2 + 22*u**2 + 88 - 44*u = 0. Calculate u.
-2, 11
Let p be (-5)/(-10)*(-3 - -7). Determine m so that -m**2 + 422*m + 5*m**p + 8 - 410*m = 0.
-2, -1
Suppose 172*y - 3082*y**2 - 12 + 211*y**2 + 161*y + 51*y - 3267*y**3 = 0. Calculate y.
-1, 2/33
Let w = -8 + 10. Suppose w*v + 4*z = 3*v + 11, v - 21 = -4*z. Suppose 0*u**2 + v*u**2 - 3*u**2 + 2*u**2 = 0. What is u?
0
Let t be 12/10*400/640. Factor 0*m**2 - 3/4*m**5 + 0 + 0*m**4 + 0*m + t*m**3.
-3*m**3*(m - 1)*(m + 1)/4
Suppose -3*l - s - 53 = 0, -2*s - 57 = 3*l + s. Let v = -15 - l. Find w, given that -v + 5*w**2 + 3 - 2*w**2 + 4*w = 0.
-1, -1/3
Let m(d) be the third derivative of 0 + 0*d**3 + 13*d**2 - 2/3*d**5 + 0*d - 5/24*d**6 + 5/6*d**4. Factor m(n).
-5*n*(n + 2)*(5*n - 2)
Suppose 0 = 3*j - 15, 4*s + j = -4*j + 129. Suppose -7*t + s - 12 = 0. Factor -3/4*p**t + 0*p + 3.
-3*(p - 2)*(p + 2)/4
Let x(y) = 21*y**3 - 15*y**2 + 2. Let v(c) = -44*c**3 + 28*c**2 + c - 5. Let l(p) = 2*v(p) + 5*x(p). What is t in l(t) = 0?
0, 2/17, 1
Let d(r) be the third derivative of 27*r**6/80 + 135*r**5/8 + 5625*r**4/16 + 15625*r**3/4 + 2*r**2 - 109*r. Factor d(l).
3*(3*l + 25)**3/2
Suppose 3*l + 69 = 360. Let f = -97 + l. Factor -2/11*h**4 + f*h**3 + 0*h + 2/11*h**2 + 0.
-2*h**2*(h - 1)*(h + 1)/11
Suppose 40 = -6*k + 58. Suppose -3*z - 2 = 3*y - z, 0 = y + 3*z + k. Let 4/7*n**2 + 8/7*n + y - 4/7*n**3 = 0. What is n?
-1, 0, 2
Let y = 292183/3 + -96438. Let i = -947 + y. Factor i*d**3 + 32/3*d**2 + 6*d + 4/3 + 2/3*d**5 + 4*d**4.
2*(d + 1)**4*(d + 2)/3
Let w(f) be the first derivative of 2*f**6/5 - 4*f**5/5 - 2*f**4/5 + 8*f**3/5 - 2*f**2/5 - 4*f/5 + 185. Let w(r) = 0. What is r?
-1, -1/3, 1
Let j be (5 - (-345)/(-72))/(20/8). Let n(p) be the second derivative of j*p**4 + 2*p**2 + 6*p + 0 - 2/3*p**3. Solve n(u) = 0.
2
Let q(j) be the second derivative of -j**6/30 + 13*j**5/20 + 5*j**4/4 - 13*j**3/6 - 7*j**2 + 14*j. Factor q(o).
-(o - 14)*(o - 1)*(o + 1)**2
Let d(j) be the first derivative of j**6/2 + 11*j**5/4 + 25*j**4/4 + 15*j**3/2 + 5*j**2 + 5*j - 7. Let x(g) be the first derivative of d(g). Factor x(w).
5*(w + 1)**3*(3*w + 2)
Let a(q) = 41*q**3 + 107*q**2 + 48*q - 35. Let v(s) = -14*s**3 - 36*s**2 - 16*s + 12. Let n = -35 + 18. Let j(w) = n*v(w) - 6*a(w). Factor j(x).
-2*(x + 1)*(x + 3)*(4*x - 1)
Let f(c) be the first derivative of 45*c**4/4 - 35*c**3 + 40*c**2 - 20*c - 56. Suppose f(v) = 0. What is v?
2/3, 1
Let a(y) = -39*y + 393. Let g be a(10). Factor 1/5*v - 1/5 - 1/5*v**g + 1/5*v**2.
-(v - 1)**2*(v + 1)/5
Let h = 969 + -965. What is g in -2/3*g**h + 16/3*g + 2 + 0*g**3 + 4*g**2 = 0?
-1, 3
Factor 1/10*l**2 + l + 0.
l*(l + 10)/10
Let t(u) be the second derivative of u**6/15 + 3*u**5/10 - u**4/3 - 4*u**3 - 8*u**2 - 61*u. Find c such that t(c) = 0.
-2, -1, 2
Let a(o) be the first derivative of 4*o**5/5 - 8*o**3/3 + 4*o - 24. Factor a(k).
4*(k - 1)**2*(k + 1)**2
Let c = -1 - -22. Find h, given that -43*h**2 + 64*h**3 - 11 - 252*h - 437*h**2 - c 