**3 + 0*g - 50/7*g**2.
2*g**2*(g - 25)/7
Suppose 0 = -3*i + 3*v + 3, 4*i - 16*v + 21*v - 13 = 0. Let y(k) be the first derivative of 0*k - 2 + 2/3*k**3 + k**i. Let y(m) = 0. What is m?
-1, 0
Let p(d) = -6*d**4 - 13*d**3 + 23*d**2 + 18*d - 4. Let m(i) = 42*i**4 + 90*i**3 - 159*i**2 - 126*i + 27. Let t(l) = 4*m(l) + 27*p(l). Solve t(x) = 0 for x.
-2, -1, 0, 3/2
Let k(f) be the first derivative of 5*f**2 - 5/3*f**3 + 31 + 0*f. Factor k(a).
-5*a*(a - 2)
Let b(g) be the third derivative of g**8/112 + 2*g**7/35 - 3*g**6/40 - g**5/2 + g**4 + 83*g**2. Factor b(f).
3*f*(f - 1)**2*(f + 2)*(f + 4)
Let v(x) be the first derivative of 11*x**6/3 - 84*x**5/5 + 25*x**4/2 + 4*x**3 + 481. Determine m, given that v(m) = 0.
-2/11, 0, 1, 3
Let z be ((-3)/45*1)/(45/(-27)). Let v(y) be the third derivative of z*y**5 - 1/30*y**4 + 0*y**3 - 1/210*y**7 + 0 + 0*y + 5*y**2 - 1/200*y**6. Factor v(t).
-t*(t - 1)*(t + 2)*(5*t - 2)/5
Let m(j) be the first derivative of j**4/32 + 5*j**3/24 + j**2/2 + j/2 - 146. Factor m(h).
(h + 1)*(h + 2)**2/8
Let o(s) be the first derivative of 2*s**3/3 + s**2 - s + 4. Let q be o(-2). Solve -4*y**2 + 5*y**4 + 4*y**2 - 8*y**4 - q*y**3 = 0.
-1, 0
Let i(t) = 3*t - 35. Let s be i(10). Let p(m) = -m**3 - 6*m**2 - 6*m - 3. Let g be p(s). Factor -6/7*u**g - 3/7*u**3 + 3/7*u + 6/7.
-3*(u - 1)*(u + 1)*(u + 2)/7
Let v(l) = l**3 - 3*l**2 - 3*l + 3. Let d be v(8). Determine i so that -299*i - 4 + 8*i**2 - 4*i**4 + d*i = 0.
-1, 1
Let a(y) be the first derivative of 2*y + 2/3*y**2 - 10 - 2/9*y**3. Factor a(w).
-2*(w - 3)*(w + 1)/3
Let o be ((6/(-4))/(26/(-78)))/((-25)/(-20)). Factor 2/5*c**2 + 16/5 + o*c.
2*(c + 1)*(c + 8)/5
Let v = -140 - -142. Let 10*q + 5*q - v*q - 12*q**3 + 4*q**4 + 3*q = 0. What is q?
-1, 0, 2
Suppose 14 = u + 6. Suppose 5*j = -j - u*j. Factor -1/5*p**5 + 0*p**3 + 2/5*p**4 - 2/5*p**2 + 1/5*p + j.
-p*(p - 1)**3*(p + 1)/5
Let u = -20118 - -20120. Determine y so that 7/5 - 6/5*y - 1/5*y**u = 0.
-7, 1
Let u(k) be the second derivative of 1/6*k**4 + 14*k + 0 - 1/10*k**5 - k**2 + 1/3*k**3. Factor u(i).
-2*(i - 1)**2*(i + 1)
Let o(u) be the first derivative of 2*u + 2*u**3 + 3*u**2 + 1/2*u**4 - 46. Factor o(p).
2*(p + 1)**3
Let a(n) be the third derivative of -n**5/120 - 13*n**4/96 + 35*n**3/12 + 2*n**2 - 26*n. Solve a(g) = 0 for g.
-10, 7/2
Let q(k) = 11*k**2 - 138*k + 720. Let h(t) = 100*t**2 - 1245*t + 6480. Let s(l) = 6*h(l) - 55*q(l). Factor s(m).
-5*(m - 12)**2
Let p(z) = -z**3 + 2*z**2 + z + 6. Let v be p(0). Let c be 1*(-22 + v)/(-4). Factor 2/3*g**5 + 0 + 8/3*g**2 + 2/3*g + c*g**3 + 8/3*g**4.
2*g*(g + 1)**4/3
Let 104*u**2 - 34 - 150*u**2 + 45*u**2 - 19*u = 0. Calculate u.
-17, -2
Let p be (10/14 + 0)*(74 + -67). Let z(i) be the third derivative of -8*i**2 - 5/3*i**p + 0 + 10/3*i**4 - 8/3*i**3 + 0*i. Solve z(t) = 0 for t.
2/5
Let a = 7/40 - -19/20. Let x = a - 7/8. Suppose 1/2*w**3 - 1/2*w + x + 0*w**2 - 1/4*w**4 = 0. Calculate w.
-1, 1
Let p be ((36/(-7))/(-3))/((-32)/(-336)). Suppose 2*q - 5*t - 3 = 11, 4*q - p = 5*t. Factor 4/9*m + 2/9 - 4/9*m**3 + 0*m**q - 2/9*m**4.
-2*(m - 1)*(m + 1)**3/9
Let g(n) be the third derivative of -25/2688*n**8 + 0*n**3 + 1/60*n**5 + 0 - 7*n**2 - 1/42*n**7 + 0*n - 1/192*n**4 - 1/160*n**6. Factor g(i).
-i*(i + 1)**2*(5*i - 1)**2/8
Let t(y) be the first derivative of -9*y**2 + 11 - 27/8*y**4 + 9*y**3 + 4*y. Factor t(x).
-(3*x - 2)**3/2
Let -2*l**2 + 29*l - 62*l + 26*l + 29*l = 0. Calculate l.
0, 11
Factor 28/5*r + 0 - 1/5*r**3 - 12/5*r**2.
-r*(r - 2)*(r + 14)/5
Let n(a) = a**3 + 2*a**2 - 17*a - 3. Let v be n(-5). Let p(l) be the second derivative of 2/13*l**2 - v*l + 1/26*l**4 + 0 + 7/39*l**3. Factor p(x).
2*(x + 2)*(3*x + 1)/13
Determine a so that 30*a - 66*a**3 + 4*a**4 + 30*a**3 + 5*a**2 + 16*a**3 + a**4 + 0*a**4 = 0.
-1, 0, 2, 3
Factor -80/3*k**2 + 4/3*k**5 - 20*k - 16/3 - 40/3*k**3 + 0*k**4.
4*(k - 4)*(k + 1)**4/3
Determine x, given that -56/5 + 32/5*x**2 - 4/5*x**3 - 4*x = 0.
-1, 2, 7
Let k(y) be the second derivative of y**8/1344 - y**6/144 - 3*y**4/2 + 10*y. Let s(x) be the third derivative of k(x). Factor s(i).
5*i*(i - 1)*(i + 1)
Let h = 16 - 13. Factor 31*d**4 - 36*d**4 + 0*d**3 - 10*d**2 - 15*d**h.
-5*d**2*(d + 1)*(d + 2)
Suppose 3*h + 3*g - 12 = 0, g = 4*h - h - 4. Determine y so that -18*y**3 - 4*y**4 + 9*y**h + y**4 + 12*y**3 = 0.
-3, 0, 1
Factor -37*d + 14*d + 16*d**3 - 22*d**2 + 13*d + 16*d.
2*d*(d - 1)*(8*d - 3)
Let y(t) be the first derivative of -25 + 1/8*t**2 + 0*t + 1/3*t**3. Factor y(h).
h*(4*h + 1)/4
Suppose -3*i + 315 = 60*i. Let c(v) be the first derivative of 1/20*v**i - 2 + 0*v**2 + 1/4*v + 0*v**4 - 1/6*v**3. Determine q, given that c(q) = 0.
-1, 1
Let p = -67 - 17. Let w be (4/(-33))/(p/18 + 4). Determine k, given that -4/11*k**3 + 0 + 0*k + w*k**2 + 2/11*k**4 = 0.
0, 1
Let b = -21/2 - -527/50. Let q = 4/25 + b. Factor -1/5*l**2 + q*l + 0.
-l*(l - 1)/5
Let g(y) be the third derivative of 9*y**2 + 1/6*y**3 + 0 + 1/240*y**6 + 0*y + 0*y**5 - 1/16*y**4. Solve g(l) = 0 for l.
-2, 1
Factor 30*b**3 + 37*b**3 + 414*b**2 - 110*b**3 - 199*b**3 + 202*b**2 - 392*b.
-2*b*(11*b - 14)**2
Factor 12/5 + 9/5*h**3 + 21/5*h - 42/5*h**2.
3*(h - 4)*(h - 1)*(3*h + 1)/5
Suppose 0 = 5*v + 5 - 15. Suppose 0 = -2*s - 5*q - v, 5*s = 3*s + q + 10. Factor 0*t**2 + 2/3*t + 2/3*t**5 - 4/3*t**3 + 0*t**s + 0.
2*t*(t - 1)**2*(t + 1)**2/3
Let g = -29 + 34. Factor -20*m**3 + 33*m + g*m**5 + 8 + 2 - 10*m**2 - 18*m.
5*(m - 2)*(m - 1)*(m + 1)**3
Let f(o) = 9*o**5 + 39*o**4 + 78*o**3 + 60*o**2 + 3*o - 9. Let n(x) = x**4 + x**3 + x + 1. Let p(j) = f(j) + 9*n(j). Find m such that p(m) = 0.
-2, -1, -1/3, 0
Let n be ((-125)/30 - -4)/((-1)/(6/4)). Find y such that n*y - 1/2*y**3 + 0*y**4 + 0*y**2 + 1/4*y**5 + 0 = 0.
-1, 0, 1
Let b(c) be the third derivative of -c**7/105 - c**6/15 + c**5/10 + 5*c**4/6 - 8*c**3/3 - 12*c**2 - 8*c. Factor b(p).
-2*(p - 1)**2*(p + 2)*(p + 4)
Suppose -33*x = -28*x - 125. Suppose x*o - 10*o = 17*o. Factor o + 0*l**2 + 0*l + 2/3*l**3.
2*l**3/3
Let r(q) be the third derivative of -5*q**8/112 + q**7/6 - q**6/12 - q**5/2 + 25*q**4/24 - 5*q**3/6 - 37*q**2 + q. Determine h, given that r(h) = 0.
-1, 1/3, 1
Let n(k) be the third derivative of -k**8/1512 + 2*k**7/315 - 7*k**6/270 + 8*k**5/135 - k**4/12 + 2*k**3/27 - 136*k**2 + k. Determine b, given that n(b) = 0.
1, 2
Suppose -10*s = -5*s - 15. Let v(h) be the third derivative of -1/210*h**5 + 0*h**s - 1/210*h**6 + 0 + 1/42*h**4 + 1/735*h**7 + 0*h - 7*h**2. Factor v(b).
2*b*(b - 2)*(b - 1)*(b + 1)/7
Let a be -5 + -2 + 4 - (-1 + 12). Let k be (a/(-35))/((-8)/(-588)). Let 12/5 + 84/5*b + k*b**2 = 0. Calculate b.
-2/7
Let c(q) = -4*q + 4*q**2 + 6*q**2 + 13*q - 20*q**2. Let s(a) = -5*a**2 + 4*a. Let m(b) = 6*c(b) - 11*s(b). Factor m(d).
-5*d*(d - 2)
Let o(v) be the first derivative of 3*v**5/25 - 9*v**4/10 + 8*v**3/5 + 9*v**2/5 - 27*v/5 - 331. Solve o(f) = 0 for f.
-1, 1, 3
Let c(g) be the first derivative of g**4/18 - 10*g**3/9 + 25*g**2/3 - 4*g + 9. Let x(u) be the first derivative of c(u). Factor x(d).
2*(d - 5)**2/3
Let c(l) = 2*l**2 + l - 4. Let m(r) = r. Let v be m(3). Let p(s) = s**2 - 3. Let b(q) = v*p(q) - 2*c(q). Solve b(d) = 0.
-1
Let f(y) be the second derivative of y**7/21 - 13*y**6/105 - 17*y**5/70 + 29*y**4/42 + 10*y**3/21 - 16*y**2/7 + 482*y. Solve f(m) = 0.
-8/7, -1, 1, 2
Let c(k) be the second derivative of k**5/50 + k**4/6 + 7*k**3/15 + 3*k**2/5 + 24*k. Factor c(v).
2*(v + 1)**2*(v + 3)/5
What is p in -2/9*p**3 - 16/9*p**2 + 0 - 32/9*p = 0?
-4, 0
Let x(n) = -8*n - 30. Let w be x(-4). Let -96 + 5*l**w - 69 - 35*l + 125 = 0. Calculate l.
-1, 8
Let m(p) be the first derivative of p**6/24 + 3*p**5/10 + 9*p**4/16 + p**3/3 + 65. What is r in m(r) = 0?
-4, -1, 0
Let v(a) = -a**2 + a - 1. Let j(z) = -4*z**2 - 8. Suppose -5*p + t = -2*p + 28, -4*t = -p - 24. Let d(x) = p*v(x) + j(x). Suppose d(h) = 0. What is h?
0, 2
Let o(p) be the first derivative of -2*p**3/45 - 3*p**2 - 88*p/15 - 194. Factor o(q).
-2*(q + 1)*(q + 44)/15
Let c(d) be the third derivative of d**7/315 - 2*d**6/45 + 2*d**5/15 - 342*d**2. Factor c(h).
2*h**2*(h - 6)*(h - 2)/3
Let o = 1015 + -3043/3. Suppose 6 = 2*n + 2*j, n + 3*j = 6*n - 7. What is m in -1/3*m**n + m - o = 0?
1, 2
Let d(c) be the second derivative of c**7/1680 - c**6/360 - c**5/240 + c**4/24 + c**3 - 19*c. Le