 4*h - 28. Let 26*f**3 + 2*f**2 - 22*f**2 - 22*f**l = 0. What is f?
0, 5
Let j(v) be the first derivative of -264*v**2 - 15*v**3 - 1/4*v**4 - 484*v + 86. Let j(q) = 0. What is q?
-22, -1
Suppose 0 = -2*h - 36, 100 = 5*v + 6*h - 11*h. Find k such that -68/5*k + 6*k**v + 0 + 2/5*k**3 = 0.
-17, 0, 2
Let i(s) be the second derivative of s**7/2 - 41*s**6/3 + 189*s**5/20 + 98*s**4/3 - 38*s**3 + 2840*s. Solve i(v) = 0 for v.
-1, 0, 2/3, 6/7, 19
Let c = -1810 - -2805. Solve -12*p**2 - 487*p**3 + c*p**3 - 481*p**3 - 3*p**5 - 15*p**2 + 3*p**4 = 0.
-3, 0, 1, 3
Let x(h) be the first derivative of 2*h**3/21 + 405*h**2/7 - 116*h + 8764. Factor x(a).
2*(a - 1)*(a + 406)/7
Let j(x) be the first derivative of 5*x**3/3 + 3345*x**2 - 6695*x - 1213. What is t in j(t) = 0?
-1339, 1
Let v(h) be the first derivative of h**3/3 - 29*h**2/2 - 702. Find n, given that v(n) = 0.
0, 29
Let j be (-37)/(-2) + 21/42. Suppose j = -4*s + 27. Factor -i + 2*i**2 + 0*i**s + 1 - i + 2*i**3 - 3.
2*(i - 1)*(i + 1)**2
Suppose -5*b + 20 = 5*y, 4*y - 13 = 3*b + 3. Factor 10*p - 14*p**2 + 2*p**4 + 18*p**2 + 2*p**5 + b*p + 3 - 9 - 12*p**3.
2*(p - 1)**3*(p + 1)*(p + 3)
Find h, given that -1/4*h - 27/8*h**2 + 23/8*h**4 + 1 + 13/8*h**3 - 15/8*h**5 = 0.
-4/5, -2/3, 1
Let q(r) = -81*r + 494. Let k be q(14). Let a = -3197/5 - k. Factor -168/5*i**2 - 6 + 102/5*i**3 - 18/5*i**4 + 117/5*i - a*i**5.
-3*(i - 1)**4*(i + 10)/5
Let r = -1140 + 485. Let l = -655 - r. Factor l - 3/8*d**3 - 3/8*d**5 + 0*d + 0*d**2 - 3/4*d**4.
-3*d**3*(d + 1)**2/8
Let l(c) be the third derivative of 5/32*c**4 - 1/320*c**6 - 33*c**2 - 2 + 0*c**3 + 0*c - 9/160*c**5. Find j such that l(j) = 0.
-10, 0, 1
Let i be (-12597)/(-34)*(-2)/(-3). Find n, given that 2*n + i - 15*n - 40*n + 9*n + 2*n**2 - 5 = 0.
11
Let d be (-43)/((-387)/(-45)) - -8. Find l such that 72/7*l + 27/7*l**d + 87/7*l**2 + 12/7 = 0.
-2, -1, -2/9
Let m be (-1)/(((-4)/(-6))/(-2)). Let q = 606497 + -606497. Suppose 1/2*y**2 + 0*y + q*y**m - 1/4 - 1/4*y**4 = 0. What is y?
-1, 1
Suppose 11 = 2*m - 3*j, -6*m - j - 7 = -7*m. Suppose -4*d + 2*h + 14 = 0, m = -3*d + 2*h + 22. Factor 0*c + 0*c**d + 0 + 1/2*c**3.
c**3/2
Let h be (13 - 5) + -4 - 9. Let v be (70/(-68) + 1)*(-29 - h). Determine z, given that 40/17*z - 16/17 - 18/17*z**3 - v*z**2 = 0.
-2, 2/3
Let a(c) = 15*c**2 - 53*c - 3903. Let s be a(18). Factor 0*y - 24/5*y**2 + 128/5 + 4/5*y**s.
4*(y - 4)**2*(y + 2)/5
Let f(t) be the second derivative of t**4/12 - 37*t**3/6 - 31*t**2/2 + 61*t. Let k(n) = 12*n + 10. Let z(l) = 4*f(l) + 14*k(l). Factor z(x).
4*(x + 1)*(x + 4)
Let l(m) be the second derivative of m**4/30 - 416*m**3/15 + 828*m**2/5 - 720*m. Factor l(n).
2*(n - 414)*(n - 2)/5
Let u(i) = i**4 + 2*i**2 - i. Let o(g) = 4*g**4 + 6*g**3 + 4*g**2 - 10*g. Suppose -4*j = -2*s - 4, 2*j + 3*s = 2*s - 6. Let c(d) = j*o(d) + 2*u(d). Factor c(w).
-2*w*(w - 1)*(w + 2)**2
Let h(y) be the third derivative of -y**6/72 + 5*y**5/12 + 5*y**4 - 5*y**3 + 62*y**2. Let j(u) be the first derivative of h(u). Factor j(o).
-5*(o - 12)*(o + 2)
Let u(o) be the first derivative of -2*o**5/35 + 1651*o**4/14 - 454850*o**3/7 + 680625*o**2/7 - 3416. Suppose u(n) = 0. Calculate n.
0, 1, 825
Let k(t) = -t**3 - 104*t**2 - 201*t + 310. Let b be k(-102). Let -1/2*u**2 + 0 - 1/2*u**b - 4/3*u**3 + 1/3*u = 0. Calculate u.
-2, -1, 0, 1/3
Suppose -6*c + 45 = -51. Suppose c*f + 167*f**4 - 84*f**4 + 10*f**2 + 12*f**3 - 4*f**5 - 75*f**4 - 42*f**2 = 0. What is f?
-2, 0, 1, 2
Let x = -14864/33 - -1352/3. Let s = 122/231 - x. Factor -4/7 + 2/7*p + s*p**2.
2*(p - 1)*(p + 2)/7
Let o(r) be the third derivative of -r**8/5040 + 3*r**7/140 + 7*r**6/45 + 149*r**5/60 - r**2 - 5*r. Let i(v) be the third derivative of o(v). Factor i(w).
-4*(w - 28)*(w + 1)
Let k(n) be the first derivative of -n**5/10 - 9*n**4/8 - 10*n**3/3 - 1037. Suppose k(b) = 0. What is b?
-5, -4, 0
Suppose -3*h**5 - 27/5*h**3 + 39/5*h**4 + 0 - 3/5*h**2 + 6/5*h = 0. Calculate h.
-2/5, 0, 1
Let v = 37635/2 + -18241. Let j = v + -575. Let 3/4*n**2 + 3/4*n - j = 0. Calculate n.
-2, 1
Let t(u) be the first derivative of u**5/5 + 363*u**4/2 + 43923*u**3 + 5185. Let t(a) = 0. What is a?
-363, 0
Factor -346*u**2 + 800*u + 4*u**4 - 29*u**2 - 130*u**2 + 64*u**3 - 249*u**2 - 114*u**2.
4*u*(u - 8)*(u - 1)*(u + 25)
Let t(c) be the third derivative of -9*c**2 - 1/5*c**6 + 0*c - 2/105*c**7 - 32/3*c**3 + 4*c**4 + 0 - 1/15*c**5. Let t(d) = 0. Calculate d.
-4, 1
Let p(q) = 7*q**2 - 19*q - 52. Let t(m) = m**2 - m - 4. Let s(v) = -p(v) - 2*t(v). Factor s(y).
-3*(y - 4)*(3*y + 5)
Suppose -38*u + 360*u = 644. Find v such that -4/9*v**3 - 40/9 + 28/9*v + 16/9*v**u = 0.
-2, 1, 5
Suppose -3485*v + 222*v = -21*v - 9693 - 33. Determine w, given that 14/13*w - 36/13*w**2 + 10/13*w**v + 12/13 = 0.
-2/5, 1, 3
Let q be 6/(-216)*(-6)/50. Let f(x) be the third derivative of -22*x**2 - q*x**6 + 0*x + 0 + 4/15*x**3 + 7/60*x**4 + 1/75*x**5. Let f(c) = 0. What is c?
-1, 4
Let y be 13/26 + (-33)/(-2). Suppose -17*a**2 + a**3 - 72 + 20*a**2 + 60*a - y*a**2 = 0. What is a?
2, 6
Let j(k) = k**2 - 149*k + 708. Let p(n) = -153*n + 708. Let o(z) = -3*j(z) + 4*p(z). Factor o(f).
-3*(f - 4)*(f + 59)
Suppose -4*a - 4 = 5*x, 0 = 4*a - 6*x + 5*x - 20. Let z(s) = -2*s + 11. Let m be z(a). Let 1 - 11 - 5 - 7*k**2 + 3 + k**m + 16*k = 0. What is k?
2, 3
Suppose 825 + 417 = 6*n. Suppose -67 = -2*s + n. Factor s*y**3 + 3*y**2 + 2*y**2 - 132*y**3.
5*y**2*(y + 1)
Let f(n) = -5*n - 69. Let r be f(-15). Let d be 0*r/10*1/3. Solve 0*k + 0 - 14/11*k**5 + 4/11*k**3 + d*k**2 + 10/11*k**4 = 0.
-2/7, 0, 1
Let v(f) = f**3 + 41*f**2 - 87*f - 2. Let h be v(-43). Let -2555*r - 5*r**3 + h*r**2 + 319*r**2 + r**3 - 2752*r - 2793*r = 0. Calculate r.
0, 45
Let p be (-34)/(-6) - (169 - 61008/369). Factor -1/4*u**4 + 3/4 - 1/2*u**p + u**3 - u.
-(u - 3)*(u - 1)**2*(u + 1)/4
Find a, given that -1/3*a**5 + 5/3*a**3 - 20 - 4/3*a - 5*a**4 + 25*a**2 = 0.
-15, -2, -1, 1, 2
Let n(r) be the first derivative of 10*r - 31 + 5/3*r**3 - 15/2*r**2. Factor n(f).
5*(f - 2)*(f - 1)
Let z(h) be the first derivative of 11/2*h**3 - 21/8*h**4 + 3/2*h - 19/4*h**2 - 82 + 2/5*h**5. Factor z(q).
(q - 3)*(q - 1)**2*(4*q - 1)/2
Let y be -3 + 875/45 - ((-10)/(-6))/(680/(-4896)). Factor 2/9*g**4 + 28/9*g**3 + 0 + 64/9*g**2 - y*g.
2*g*(g - 2)*(g + 8)**2/9
Let s(d) = d**3 - 7*d**2 + 8*d + 10. Let p be s(7). Let h be 24/p - 6/(-44). Factor 1/4*w**4 + 0 + h*w**2 + 0*w + 3/4*w**3.
w**2*(w + 1)*(w + 2)/4
Suppose -9091*h + 2141*h - 567 - 36936*h**3 + 67 + 29340*h**2 + 15120*h**4 = 0. Calculate h.
-2/35, 5/6
Let y = 93 - 95. Let n be (88/(-16))/(-11)*(2 + y). Factor -2/3*k + n - 2/3*k**3 + 5/3*k**2.
-k*(k - 2)*(2*k - 1)/3
Let o = 97926 - 97926. Solve 2*k**3 + 16/7*k**4 + 0*k**2 + o*k + 2/7*k**5 + 0 = 0.
-7, -1, 0
Let l(u) be the first derivative of -u**6/150 - 6*u**5/25 - 9*u**2/2 + 92. Let y(f) be the second derivative of l(f). What is s in y(s) = 0?
-18, 0
Suppose 3*x + 457 = 1198. Factor 276*o - 827*o + 268*o + 2*o**2 + 34 + x*o.
2*(o - 17)*(o - 1)
Let n(a) be the first derivative of 4*a**3/9 + 452*a**2/3 + 300*a - 1146. Factor n(t).
4*(t + 1)*(t + 225)/3
Let m(b) be the first derivative of -b**8/6720 + b**7/224 - 7*b**6/720 - 53*b**3/3 + 2*b - 119. Let o(g) be the third derivative of m(g). Factor o(j).
-j**2*(j - 14)*(j - 1)/4
Determine f so that -44*f**4 + 19*f**4 + 16 + 30*f + 12*f**2 + 5*f**3 + 21*f**4 + 2*f - 13*f**3 = 0.
-2, -1, 2
Let u(x) = 4*x - 21. Let c be u(6). Let -4 - 3*k - 7475*k**3 + 7477*k**3 - c*k = 0. What is k?
-1, 2
Let g be (-50 - (-68432)/1365) + 43/15. Factor -2/5 - 19/5*w**2 + 36/5*w**g - 3*w.
(w - 1)*(4*w + 1)*(9*w + 2)/5
Let v = 209/864 - -683/4320. Find j, given that -v*j**2 + 0*j - 2/5*j**3 + 0 = 0.
-1, 0
Let s(n) = 6*n**2 + n - 1. Let v(w) = -16*w**2 + 746*w - 184. Let y(h) = 4*s(h) + v(h). Find j, given that y(j) = 0.
-94, 1/4
Let q(b) be the third derivative of -b**6/60 - 149*b**5/30 - 1825*b**4/4 + 1875*b**3 - 12*b**2 + b - 75. Let q(o) = 0. What is o?
-75, 1
Let z be (1/((-1)/(-2)))/(69 + 944406/(-13689)). What is k in 6/5*k**3 - 156/5*k**2 + 0 + z*k = 0?
0, 13
Let g be 4*-2 + 53955/6540. Factor -5/4*o + 1/4*o**4 + 0 + 5/4*o**3 - g*o**2.
o*(o - 1)*(o + 1)*(o + 5)/4
Let m be 292/(-657) + (-92)/(-126) - 78/(-21). Suppose -816/5*g + 248/5*g**2 + 288/5 - m*g**3 = 0. What 