*i**2 - 34*i**3 = 0.
-1, 0, 1
Let r(f) = -f + 16. Let g be r(13). Let z(m) be the third derivative of 0*m**g - 3*m**2 - 1/420*m**6 + 0*m + 1/84*m**4 + 0*m**5 + 0. Factor z(o).
-2*o*(o - 1)*(o + 1)/7
Let u(t) be the second derivative of -t**8/6720 + t**7/1680 + t**6/1440 - t**5/240 + 5*t**3/6 + 9*t. Let k(q) be the second derivative of u(q). Factor k(y).
-y*(y - 2)*(y - 1)*(y + 1)/4
Let h = -926 - -929. Factor -4/19*d**2 + 2/19*d**4 + 0*d**h + 2/19 + 0*d.
2*(d - 1)**2*(d + 1)**2/19
Let k(g) = g**5 + 13*g**4 + 18*g**3 - 6*g**2 - 21*g - 11. Let l(o) = -o**5 - o**4 - 1. Let t(f) = -k(f) + 2*l(f). Factor t(b).
-3*(b - 1)*(b + 1)**3*(b + 3)
Let l(q) be the third derivative of -q**6/120 - 3*q**5/40 - q**4/4 + 2*q**3/3 + 2*q**2. Let c(h) be the first derivative of l(h). Factor c(f).
-3*(f + 1)*(f + 2)
Let g(h) be the third derivative of -h**11/997920 + h**9/90720 - h**7/15120 + h**5/30 + 3*h**2. Let b(i) be the third derivative of g(i). What is s in b(s) = 0?
-1, 0, 1
Let o = 6 + -5. Let t be 0/1 + o - -1. Find d such that 3*d**3 - 4*d**2 - t*d + 0*d**3 - 5*d**3 = 0.
-1, 0
Factor -7/4 + 7/4*a**2 - 1/4*a**3 + 1/4*a.
-(a - 7)*(a - 1)*(a + 1)/4
Solve -4/3*z**4 - 16/3*z**3 - 16/3*z - 4/3 - 8*z**2 = 0.
-1
Let b(u) be the second derivative of -9*u**5/80 + u**4/24 + 9*u. Factor b(z).
-z**2*(9*z - 2)/4
Let p(w) be the second derivative of -w**8/13440 - w**7/5040 + w**6/720 - w**4/3 - w. Let f(m) be the third derivative of p(m). Factor f(y).
-y*(y - 1)*(y + 2)/2
Let a(y) be the first derivative of 1 + 2/9*y + 1/18*y**4 - 2/27*y**3 - 1/9*y**2. Determine o, given that a(o) = 0.
-1, 1
Suppose -2 = r - 2*r. Suppose -2*o - t = -2, 3*o + 3*t - 2 = t. Factor j**o - j + 0*j**r + 2 - 2*j.
(j - 2)*(j - 1)
Let j be (-1)/(2/(-2 + -2)). Let d be 6/j - (-52)/(-20). Factor d*o**4 + 0 + 0*o**2 + 0*o + 2/5*o**3.
2*o**3*(o + 1)/5
Let v be 3/7 - (-404)/(-812). Let j = 33/58 + v. Factor -j*n**2 - 1/2*n + 0.
-n*(n + 1)/2
Let i(u) be the third derivative of -u**7/3780 - u**6/1080 + u**4/12 - u**2. Let j(m) be the second derivative of i(m). Find z, given that j(z) = 0.
-1, 0
Factor 0 - 1/2*h - 3*h**2.
-h*(6*h + 1)/2
Let k be 3/((-27)/6)*-3. Solve 2*h**2 + 3*h**k + 2*h**2 - 3*h**2 - 6*h + 2 = 0.
1/2, 1
Let u(w) be the second derivative of 5*w**5/14 - 5*w**4/42 - 16*w**3/21 - 4*w**2/7 - 11*w. Factor u(k).
2*(k - 1)*(5*k + 2)**2/7
Let z(q) be the second derivative of -1/12*q**4 + 2/9*q**3 + 3*q + 2/3*q**2 + 0 - 1/15*q**5 - 1/90*q**6. Factor z(j).
-(j - 1)*(j + 1)*(j + 2)**2/3
Solve 2/17*r + 4/17*r**2 + 2/17*r**3 + 0 = 0.
-1, 0
Let u(k) be the third derivative of -k**8/26880 + k**7/6720 + k**6/480 + k**5/12 + 4*k**2. Let b(p) be the third derivative of u(p). Factor b(j).
-3*(j - 2)*(j + 1)/4
Let n(o) be the third derivative of -o**8/112 - 3*o**7/70 + o**5/5 - 4*o**2. Determine w, given that n(w) = 0.
-2, 0, 1
Let w(b) be the first derivative of 4*b**3/9 - 16*b/3 + 2. Factor w(n).
4*(n - 2)*(n + 2)/3
Let w be 1*0/(-4 + -1). Let j(u) be the third derivative of 0*u**4 + w - 2*u**2 - 1/300*u**6 + 0*u**5 - 1/525*u**7 + 0*u**3 + 0*u. Determine m so that j(m) = 0.
-1, 0
Let a = -65 + 34. Let f = 31 + a. Factor 2/7*p + f + 10/7*p**2.
2*p*(5*p + 1)/7
Let a be ((-4)/(-6))/(1/(-6)). Let z be (a/(-21))/(4/6). Suppose -96/7*f**2 + 128/7*f**3 - z + 24/7*f = 0. What is f?
1/4
Let w(f) be the first derivative of -f**4/12 - f**3/3 - f**2/3 - 3. Let w(g) = 0. What is g?
-2, -1, 0
Let z = 150 - 150. Factor z - 6/5*c**4 - 3/5*c + 6/5*c**2 + 3/5*c**5 + 0*c**3.
3*c*(c - 1)**3*(c + 1)/5
Let d = -70 + 70. Let j(o) be the second derivative of -1/12*o**2 - 1/18*o**4 + 5/36*o**3 + d + o. Factor j(m).
-(m - 1)*(4*m - 1)/6
Let g = 24/47 - -1008/235. Factor 14/5*d**3 + 6/5*d + 4/5 - g*d**2.
2*(d - 1)**2*(7*d + 2)/5
Let b(z) be the second derivative of -961*z**4/6 - 124*z**3/3 - 4*z**2 - 7*z. Determine j, given that b(j) = 0.
-2/31
Let a(f) be the third derivative of 1/108*f**4 - 2*f**2 + 0 + 0*f + 1/540*f**6 + 1/135*f**5 + 0*f**3. Factor a(v).
2*v*(v + 1)**2/9
Let b be 26 - -1 - 30/10. Suppose -108*r**3 - 33*r**5 + 162*r**4 - 62*r**5 + b*r**2 + 14*r**5 = 0. Calculate r.
0, 2/3
Let y be ((-12)/(-16))/(1/4). Solve -1/4*v - 3/4*v**2 - 1/4*v**4 + 0 - 3/4*v**y = 0.
-1, 0
Suppose -p = 3*p - 8. Find r such that 7*r - 3*r + p + 3*r + r**4 + 5*r**3 + 9*r**2 = 0.
-2, -1
Let m(g) be the first derivative of 5*g**6/6 + g**5 - 18. Factor m(h).
5*h**4*(h + 1)
Let l(b) be the first derivative of 2*b**3/21 - 12*b**2/7 + 48. Factor l(m).
2*m*(m - 12)/7
Factor -60 - 88*m**3 - 85*m**3 + 169*m**3 + 52*m + 12*m**2.
-4*(m - 5)*(m - 1)*(m + 3)
Suppose 3*u = -g + 9, -5*u - g + 12 = -u. Factor 11*h**3 + h**4 - 5*h**4 - 7*h**u.
-4*h**3*(h - 1)
Factor 0*w**3 - 1/5*w**4 + 0 + 0*w + 0*w**2.
-w**4/5
Let w be 10/(-1)*(-1)/2. Let y(s) = s**4 - 8*s**3 + 5*s**2 - 5. Let m(r) = 2*r**4 - 12*r**3 + 8*r**2 - 8. Let f(b) = w*m(b) - 8*y(b). Factor f(d).
2*d**3*(d + 2)
Let m(y) be the first derivative of 1/2*y**6 + 0*y - 6/5*y**5 - 6 + 0*y**2 + 0*y**3 + 3/4*y**4. Determine j, given that m(j) = 0.
0, 1
Let g(y) be the first derivative of -2*y**5/5 - 3*y**4/2 - 4*y**3/3 + 2. Solve g(o) = 0.
-2, -1, 0
Let t(y) be the second derivative of -5*y**7/42 - y**6/2 + y**5/4 + 35*y**4/12 - 10*y**2 - 3*y. What is f in t(f) = 0?
-2, -1, 1
Let b(l) = -l**4 - 4*l**2 - 5. Suppose 0*q = -4*q + 4*h + 36, 0 = 2*q + 3*h + 2. Let j(s) = s**4 + 3*s**2 + 4. Let r(v) = q*j(v) + 4*b(v). Factor r(n).
n**2*(n - 1)*(n + 1)
Find i such that -24*i**4 + 8*i**2 + 3*i**3 + 17*i**5 - 2*i**2 - 2*i**5 = 0.
-2/5, 0, 1
Let o(f) be the second derivative of -3*f**5/25 + 4*f**4/15 + 2*f**3/15 - 4*f**2/5 - 32*f. Let o(t) = 0. Calculate t.
-2/3, 1
Suppose 3*h - 1 = 2*h. Let z(r) = -5*r**2 - 6*r - 1. Let i(g) = 0*g - g - 2*g**2 + g**2. Let f(v) = h*z(v) - 4*i(v). Find l, given that f(l) = 0.
-1
Let l(o) be the second derivative of 0*o**2 + 0 + 2/15*o**4 - 8*o - 2/25*o**5 - 1/15*o**3. Factor l(y).
-2*y*(2*y - 1)**2/5
Suppose 0 = -5*s + x + 8, 0 = -3*s - 2*s + 3*x + 14. Determine z, given that 0*z - 2*z**3 - z + s - 6*z**2 - 5*z - 3 = 0.
-1
Let b(g) = -g - 9. Let m(r) = -2*r - 11. Let n be m(0). Let w be b(n). Factor 8/7 + 40/7*c + 50/7*c**w.
2*(5*c + 2)**2/7
Suppose -5*y + 1 + 2 = r, -2 = 4*y + 3*r. Suppose -n + y = -5. Factor 6*p + 2*p**2 - n*p.
2*p**2
Let b(n) be the first derivative of 10*n**3/33 + 17*n**2/11 + 12*n/11 - 5. Suppose b(m) = 0. Calculate m.
-3, -2/5
Suppose -4*r + 2*r + 3*v - 15 = 0, 5*r - 5*v = -25. Let x(g) be the first derivative of r*g - 2/3*g**3 + 2 - 2/5*g**5 + 0*g**2 + g**4. Factor x(k).
-2*k**2*(k - 1)**2
Let m(k) be the second derivative of 3*k + k**2 + 0 + 4/3*k**4 + 1/5*k**5 - 2*k**3 - 3/5*k**6 + 4/21*k**7. Factor m(n).
2*(n - 1)**3*(n + 1)*(4*n - 1)
Suppose -4*i = -10 + 2. Suppose -2/9*a + 4/9*a**4 + 0*a**3 + 2/9*a**5 + 0 - 4/9*a**i = 0. What is a?
-1, 0, 1
Factor -2/11*f**2 - 8/11*f - 6/11.
-2*(f + 1)*(f + 3)/11
Let l(j) be the second derivative of 1/2*j**2 + 0 + 2*j + 1/12*j**4 + 2/3*j**3 - 29/30*j**5 - 7/15*j**6. Let m(w) be the first derivative of l(w). Factor m(k).
-2*(k + 1)*(4*k - 1)*(7*k + 2)
Suppose 2*x = l + 7, 0 = 4*x - 2*l + l - 13. Let r be (-5)/8*(-8)/20. Find w such that x*w - 2 + r*w**3 - 3/2*w**2 = 0.
2
Let j(t) be the first derivative of t**5/300 + t**4/120 - t**2 + 3. Let n(x) be the second derivative of j(x). Solve n(w) = 0 for w.
-1, 0
Suppose -1/3*s**3 + 4/3*s**2 - 5/3*s + 2/3 = 0. Calculate s.
1, 2
Let h(i) be the first derivative of -i**8/6720 + i**7/3360 + i**6/1440 - i**5/480 + 2*i**3/3 - 3. Let w(b) be the third derivative of h(b). Factor w(v).
-v*(v - 1)**2*(v + 1)/4
Suppose -2*t + 10 = 2*m, -5*m = -3*t - m - 6. Factor 2 - 2*i**3 - 5*i**2 + t*i - 2 + 3*i**2 + 2.
-2*(i - 1)*(i + 1)**2
Determine g, given that 3*g**3 - 2*g**5 + 4*g**4 - g**5 - 2*g**5 + 6*g**5 = 0.
-3, -1, 0
Let o(h) = -h**2 + 4*h + 5. Let u(t) = 14*t**2 - 17*t + 20. Let d(k) = -5*k**2 + 6*k - 7. Let b(n) = 17*d(n) + 6*u(n). Let q(j) = 4*b(j) - o(j). Factor q(l).
-(l + 1)*(3*l + 1)
Let s(k) be the first derivative of -k**5 - 5*k**4/2 - 5*k**3/3 + 17. Factor s(j).
-5*j**2*(j + 1)**2
Let q(n) be the third derivative of 64*n**7/945 - 44*n**6/135 + 2*n**5/5 - 25*n**4/108 + 2*n**3/27 + 4*n**2. Factor q(b).
2*(b - 2)*(4*b - 1)**3/9
Let r(h) = -5*h**4 - 5*h**3 - 4*h**2 + 7. Let z(f) = 