t a = 1283/180 + -64/9. Let l(y) be the second derivative of -y + 0 + 0*y**3 - a*y**5 - 1/36*y**4 + 0*y**2. Factor l(j).
-j**2*(j + 1)/3
Let g(m) be the third derivative of m**6/540 - m**5/60 + m**4/18 - m**3/3 - m**2. Let v(r) be the first derivative of g(r). Factor v(a).
2*(a - 2)*(a - 1)/3
Let u be ((-60)/135)/((-4)/18). Let i(c) be the first derivative of u + 0*c + 2/3*c**3 - 2/15*c**6 + 2/5*c**2 - 2/5*c**5 + 0*c**4. Let i(s) = 0. Calculate s.
-2, -1, -1/2, 0, 1
Let g(x) = -21*x**3 + 9*x**2 - 27*x + 15. Let q = 1 - -1. Let i be -20 - (0 + (q - 4)). Let n(r) = -r**3 + r**2 - r + 1. Let b(v) = i*n(v) + g(v). Factor b(c).
-3*(c + 1)**3
Suppose 72 = 3*n + 3*z, 5*n - 2*z = -5*z + 112. Suppose -x = 2*y - 12, n = -y - 5*x + 8. Factor -y*d - 4*d + 2*d**2 + 4*d**2 + 4 + 2*d.
2*(d - 1)*(3*d - 2)
Let p(j) be the second derivative of 5*j**7/56 + 13*j**6/24 + 11*j**5/8 + 15*j**4/8 + 35*j**3/24 + 5*j**2/8 - 27*j. Factor p(h).
5*(h + 1)**4*(3*h + 1)/4
Let d(g) be the second derivative of -g**4/28 - g**3/14 + 3*g**2/7 + 7*g. Suppose d(u) = 0. Calculate u.
-2, 1
Let t(q) be the first derivative of q**6/7 - 22*q**5/35 + q**4 - 4*q**3/7 - q**2/7 + 2*q/7 - 10. Factor t(n).
2*(n - 1)**4*(3*n + 1)/7
Let z(t) = -t**2 - 2*t + 9. Let c be z(-6). Let o be 2/c*(-2 - 1). Let -3/5*r**3 + o - 2/5*r**2 + 3/5*r = 0. Calculate r.
-1, -2/3, 1
Find h such that 10*h**2 + 2*h**3 + 2*h**5 + 8*h**3 - 33*h**4 + 23*h**4 - 12*h = 0.
-1, 0, 1, 2, 3
What is f in 4/7*f**3 - 8/7*f - 2/7*f**4 - 8/7 + 6/7*f**2 = 0?
-1, 2
Let q(t) be the first derivative of -t**8/840 + t**7/140 - t**6/90 + t**3 - 1. Let n(u) be the third derivative of q(u). Factor n(d).
-2*d**2*(d - 2)*(d - 1)
Let a(p) be the first derivative of -2*p**5/45 + p**4/9 - 2*p**2/9 + 2*p/9 + 5. Determine m so that a(m) = 0.
-1, 1
Suppose 4*d**3 - 2*d - 8*d**3 + 6*d**3 = 0. Calculate d.
-1, 0, 1
Let b be ((-16)/10)/(2/(-10)). Let s be 21/6 - 1/2. Let -4*g**5 - 18*g**s - g + 5*g**3 + b*g**2 - 2*g**2 + 12*g**4 = 0. Calculate g.
0, 1/2, 1
Let l(d) be the second derivative of -d**4/30 - d**3/5 + 22*d + 2. Factor l(o).
-2*o*(o + 3)/5
Let p(g) be the third derivative of -g**8/60 - 4*g**7/525 + 7*g**6/200 + 13*g**5/300 + g**4/60 + 7*g**2. Find m, given that p(m) = 0.
-1/2, -2/7, 0, 1
Let r(q) be the first derivative of -4*q**5/15 + 2*q**4/3 + 4*q**3/9 - 4*q**2/3 - 1. Factor r(b).
-4*b*(b - 2)*(b - 1)*(b + 1)/3
Let x = -1 + 3. Let r(u) be the second derivative of -3*u + 4/5*u**3 + 8/5*u**x + 0 - 1/105*u**7 - 1/15*u**4 - 11/50*u**5 - 2/25*u**6. Let r(q) = 0. What is q?
-2, -1, 1
Let g(k) be the third derivative of k**8/588 - k**7/1470 - k**6/105 + k**5/210 + k**4/42 - k**3/42 - k**2. Find n, given that g(n) = 0.
-1, 1/4, 1
Let c(u) = -u**2 - 11*u + 4. Let z be c(-11). Factor -16*y + z - 12*y**2 - 17 + 9.
-4*(y + 1)*(3*y + 1)
Suppose -5*o = 23 - 118. Suppose 14*z = o*z - 25. Find u such that 0*u**2 + 0 + 0*u**3 + 0*u + 1/4*u**4 + 1/4*u**z = 0.
-1, 0
Let t(d) = -6*d + 5*d + 5*d - 2 + 4*d**2. Let a(f) = f - f**3 - 1 - 13*f**2 + 13*f**2. Let y(m) = -2*a(m) + t(m). Suppose y(b) = 0. Calculate b.
-1, 0
Let c(n) be the second derivative of -n**8/1176 - n**7/245 - n**6/210 + n**2 + n. Let g(l) be the first derivative of c(l). Factor g(b).
-2*b**3*(b + 1)*(b + 2)/7
Let q be 260/(-22) + 2/(-11). Let u = q - -15. Factor 0 - 1/2*b**u + 0*b + 1/2*b**2.
-b**2*(b - 1)/2
Let s be (4/5)/(8/20). Factor -s*h - 4*h**2 + 3*h - 3*h + 0*h**3 - 2*h**3.
-2*h*(h + 1)**2
Let o(d) = -4*d - 1. Suppose 0*g = g + 1. Let t be o(g). Let -8*r**4 + 6*r**2 + 2*r**5 - 4*r**2 + 5*r - t*r + 12*r**3 - 10*r**2 = 0. What is r?
0, 1
Let w = 292 - 2038/7. Let h be ((-2)/8)/(7/(-8)). Factor -w*v + 4/7 + h*v**2.
2*(v - 2)*(v - 1)/7
Determine b, given that 8/7 - 2/7*b**4 - 6/7*b**2 + 10/7*b - 10/7*b**3 = 0.
-4, -1, 1
Determine g, given that 15*g**4 + 8*g**3 - 3*g**5 - 23*g**3 + 5*g**2 - 2*g**5 = 0.
0, 1
Let x = 5 - 1. Suppose -2*c + 6*c + 2*p = 6, 0 = -5*c - x*p + 3. Determine y so that -y**5 + 2*y**5 + 3*y**3 - 4*y**c = 0.
-1, 0, 1
Let w(m) be the first derivative of 1 + 1/12*m**4 + 1/2*m**2 + 2*m + 1/3*m**3. Let i(h) be the first derivative of w(h). Suppose i(b) = 0. What is b?
-1
Let q = 4/33 + 1/22. Let c(p) be the second derivative of 0 + q*p**4 + 3*p + 0*p**3 + 0*p**2. Solve c(z) = 0.
0
Let p(d) be the third derivative of 1/315*d**7 + 0*d + 0*d**3 + 1/72*d**4 + 0*d**6 - d**2 + 0 - 1/1008*d**8 - 1/90*d**5. Factor p(z).
-z*(z - 1)**3*(z + 1)/3
Factor 12/5*p**2 + 3*p**4 + 0 - 24/5*p**3 + 0*p - 3/5*p**5.
-3*p**2*(p - 2)**2*(p - 1)/5
Let -12 + 10*t + 2*t + 4*t - 4*t**2 = 0. Calculate t.
1, 3
Suppose v - 4 + 3 = 0. Let l(o) be the first derivative of 3/5*o**2 - 4/5*o - 1/10*o**4 + 0*o**3 + v. What is w in l(w) = 0?
-2, 1
Let s(o) be the third derivative of o**5/100 - o**4/20 + o**3/10 + 25*o**2. Let s(l) = 0. Calculate l.
1
Let i(h) = 3*h**2 + 14*h - 21. Let x be i(-6). Let k be 3/2 - 4/(-8). Suppose 0*y - 6/7*y**x - 2/7*y**5 + 2/7*y**k + 6/7*y**4 + 0 = 0. Calculate y.
0, 1
Let c(f) = 3*f**2 - 2*f - 13. Let b(x) = 6*x**2 - 3*x - 27. Let g(o) = -4*b(o) + 9*c(o). Factor g(h).
3*(h - 3)*(h + 1)
Let r(k) be the third derivative of -k**11/332640 - k**10/75600 - k**9/60480 - k**5/60 + k**2. Let j(v) be the third derivative of r(v). Factor j(a).
-a**3*(a + 1)**2
Let h(n) be the third derivative of 2/33*n**3 - n**2 + 0*n + 0*n**5 + 1/44*n**4 + 0 - 1/660*n**6. Factor h(x).
-2*(x - 2)*(x + 1)**2/11
Let a(r) = r**4 - r**3 - 3*r**2 - r + 2. Let y(n) = n**4 + n**3 + 1. Let g(p) = -a(p) + 2*y(p). Factor g(s).
s*(s + 1)**3
Suppose 3 = 10*m - 27. Find y such that 1/3*y**m - 1/3*y**5 + 1/3*y**2 - 1/3*y**4 + 0 + 0*y = 0.
-1, 0, 1
Let n(g) be the second derivative of -g**4/3 + 18*g. Factor n(u).
-4*u**2
Solve -4/3*z**2 - 8/3*z**3 - 2/3*z**4 + 8/3*z + 2 = 0.
-3, -1, 1
Let j(r) be the second derivative of 0*r**2 + 1/6*r**4 + 0 - 2*r + 1/5*r**5 + 0*r**3. Solve j(t) = 0 for t.
-1/2, 0
Let o(w) = 2*w + 4. Let v be o(0). Let i(s) be the first derivative of -5*s**2 + 4*s**v - s**6 - 4*s**3 - 3 + 4*s + 8/5*s**5. Find b such that i(b) = 0.
-1, 1/3, 1, 2
Let b = 44 + -26. Find z, given that b*z**4 - 8*z - 2*z**2 + 6*z**5 - 8/3 + 46/3*z**3 = 0.
-1, -2/3, 2/3
Let l = -6/331 + 8293/993. Find s, given that -1/3 + 10/3*s - l*s**2 = 0.
1/5
Find p such that 17*p**3 - 18*p**5 - 5*p**2 + 3*p**3 - 5*p**5 + 5*p**4 + 3*p**5 = 0.
-1, 0, 1/4, 1
Let h(k) be the second derivative of 4*k + 0*k**2 + 0 + 1/2*k**3 - 1/4*k**4. Solve h(r) = 0.
0, 1
Let t = 22/5 + -83/20. Determine m, given that t*m**5 - 5/2*m**2 + 5/4*m + 5/2*m**3 - 1/4 - 5/4*m**4 = 0.
1
Let y(d) be the second derivative of 5*d**4/12 - 65*d**3/3 + 845*d**2/2 - 3*d. Solve y(b) = 0 for b.
13
Let g = 3 + -1. Suppose -18*t**g + 5*t**4 + 14*t + 9*t**4 + 10*t**3 - 4 - 16*t**4 = 0. Calculate t.
1, 2
Let d(z) = z**3 - 4*z**2 + 2. Let p be d(4). Suppose -p*w**2 + 2 - 4*w + 1 - 5 = 0. What is w?
-1
Let b(k) be the third derivative of -k**7/105 + k**6/12 - 7*k**5/30 + k**4/4 - 38*k**2. Determine y, given that b(y) = 0.
0, 1, 3
Let p(n) be the first derivative of 0*n**4 + 0*n**2 + 2/35*n**5 - 2/21*n**3 - 1 + 0*n. Factor p(t).
2*t**2*(t - 1)*(t + 1)/7
Factor -9*x + 7*x**2 + 3*x + 7*x**2 - 4*x - 6*x**3 + 2.
-2*(x - 1)**2*(3*x - 1)
Factor -6*d**3 + d**4 + 4 - 14*d + 4*d**2 + 2*d + 9*d**2.
(d - 2)**2*(d - 1)**2
Let z be 452/330 - (-20)/(-50). Let c = 18/11 - z. Solve -1/3*g**4 + 4/3*g + g**2 - 4/3 - c*g**3 = 0.
-2, 1
Find r, given that 0 - 1/3*r + 4/3*r**3 - r**2 = 0.
-1/4, 0, 1
Let w = 1 + 3. Suppose -4*m - w = -40. Factor -m*k**3 + 9*k**3 + 3*k**5 - 3*k**4.
3*k**4*(k - 1)
Let a(z) be the first derivative of z**5/15 - z**4/12 - 12. What is s in a(s) = 0?
0, 1
Let n(y) be the third derivative of 3*y**7/14 - y**6/12 - 3*y**5/4 + 5*y**4/12 + 20*y**2. Find t such that n(t) = 0.
-1, 0, 2/9, 1
Let z(h) = 6*h**2 - 4*h**2 - h - h**3 - 1 - 2*h**2. Let w(n) = 3*n**2 + 2*n. Let u(k) = -2*w(k) + 2*z(k). Factor u(b).
-2*(b + 1)**3
Let p(g) be the first derivative of g**6/600 - g**5/300 - g**4/120 + g**3/30 + g**2/2 - 7. Let l(u) be the second derivative of p(u). Factor l(s).
(s - 1)**2*(s + 1)/5
Let r = -678/5 - -136. Solve 0 + 0*c**2 + 2/5*c - r*c**3 = 0.
-1, 0, 1
Let c(u) be the second derivative of -1/3*u**3 - 10*u + 0 - 1/12*u**4 + 3/2*u**2. Suppose c(w) = 0. What is w?
-3, 1
Let p(z)