2*(j + 1)/7
Let z(i) be the first derivative of 0*i**2 + 0*i - 1/9*i**3 + 1/5*i**5 + 1 - 1/6*i**4. Factor z(g).
g**2*(g - 1)*(3*g + 1)/3
Let b(x) be the third derivative of 3/80*x**5 + 0 + 0*x + 1/16*x**4 - 1/32*x**6 + 0*x**3 + x**2. Let b(h) = 0. What is h?
-2/5, 0, 1
Let a(j) be the third derivative of -j**6/360 + j**5/30 - j**4/6 + 4*j**3/9 - 48*j**2. Let a(n) = 0. Calculate n.
2
Let r = -21 + 12. Let h be r/(-10) + 1/(-2). Factor -2/5*j**3 - 4/5*j**2 + 0 - h*j.
-2*j*(j + 1)**2/5
Let n(s) be the second derivative of -s**6/120 - s**5/60 + s**4/12 - 2*s**2 + 2*s. Let h(f) be the first derivative of n(f). Factor h(m).
-m*(m - 1)*(m + 2)
Factor -10/9*z**2 - 4/9*z - 2/9*z**4 + 0 - 8/9*z**3.
-2*z*(z + 1)**2*(z + 2)/9
Let f = -17 + 29. Let d be (-6)/f*(-2)/4. Factor -1/2*g**2 - 1/2*g**3 + 1/4*g**4 + d*g**5 + 1/4 + 1/4*g.
(g - 1)**2*(g + 1)**3/4
Let r(j) be the third derivative of -j**5/150 + j**4/10 - 3*j**3/5 + 12*j**2. Factor r(o).
-2*(o - 3)**2/5
Factor 3*k**4 - k**2 + 2*k + 4*k - 8*k**2.
3*k*(k - 1)**2*(k + 2)
Suppose -85*z = -91*z + 24. Let x(s) be the second derivative of 2*s + 2/3*s**2 + 0 - 1/9*s**6 + 7/9*s**3 + 1/6*s**z - 7/30*s**5. What is o in x(o) = 0?
-1, -2/5, 1
Let t = -2 + 8. Let o(q) = q**2 - 6*q + 5. Let m be o(t). Factor 3*p**4 + p**5 - 2*p**4 - 2*p**m.
-p**4*(p - 1)
Let j(m) = 3*m - 30. Let p be j(12). Suppose -5*y = -3*y - p. Factor -2/3*x**y + 0*x + 0 + 4/9*x**2 + 2/9*x**5 + 0*x**4.
2*x**2*(x - 1)**2*(x + 2)/9
Let c(q) = -5*q - 7. Let h(x) = 6*x + 8. Let u(m) = -5*c(m) - 4*h(m). Let o be u(-3). Let v**3 + 5/2*v**4 + o*v + 0*v**2 + 0 = 0. What is v?
-2/5, 0
Suppose 0 - 3/5*u**3 + 3/5*u - 1/5*u**2 + 1/5*u**4 = 0. What is u?
-1, 0, 1, 3
Let x = -28 - -28. Factor -2/7*v**2 - 4/7*v + x.
-2*v*(v + 2)/7
Let n(b) = 5*b**3 - b**2 - 3. Let s(u) = -11*u**3 + 3*u**2 + 7. Let x be 0/5 + 1*-3. Let h(g) = x*s(g) - 7*n(g). Suppose h(v) = 0. What is v?
-1, 0
Suppose -3*z + 9 = -2*v, 7*z + 56 = -3*v + 3*z. Let u be -2*(-9)/v + 2. Factor 1/2*x**2 + u*x + 1/6 + 1/6*x**3.
(x + 1)**3/6
Let b = -149 - -106. Let i = -23 - b. Factor i*h**3 + 1/3*h - 112/3*h**4 - 13/3*h**2 + 64/3*h**5 + 0.
h*(h - 1)*(4*h - 1)**3/3
Let l = 12001/60 + -200. Let j(x) be the third derivative of -1/150*x**5 + 0 + 2/15*x**3 - 2*x**2 + 0*x - l*x**4. Find c such that j(c) = 0.
-2, 1
Let i(s) be the first derivative of -s**2 + 4 + 4/3*s**3 - 1/2*s**4 + 0*s. Find g such that i(g) = 0.
0, 1
Let p(u) be the first derivative of 1/3*u**3 + 0*u**2 + 0*u + 1/40*u**5 - 1/720*u**6 - 3/16*u**4 + 4. Let g(n) be the third derivative of p(n). Factor g(z).
-(z - 3)**2/2
Suppose 0*d - 18 = -d - 2*v, -2*d + v = -31. Suppose 4*s - r - d = -5*r, -4*r - 2 = -5*s. Solve -7/2*m**2 + 1/2 - s*m**3 - m = 0 for m.
-1, 1/4
Let s = 6 + -1. Let q = s + -5. Factor -6*l + l + l**3 + 2 + q*l**3 + 3*l**2 + l**4 - 2*l**4.
-(l - 1)**3*(l + 2)
Suppose 2*p - 2*r = -0*p, 4*p + r = 10. Suppose 0*i - p = -i. Find k, given that 0 + 1/4*k**5 - 1/2*k**i + 0*k**3 + 1/2*k**4 - 1/4*k = 0.
-1, 0, 1
Let s(f) = f**2 + 6*f + 9. Let p be s(-5). Let q(h) be the second derivative of 0 + 1/12*h**p + 1/2*h**2 + 2*h - 1/3*h**3. Factor q(w).
(w - 1)**2
Suppose -3*u = -6*u. Suppose 14 = 2*t - 3*q - 34, -4*q + 8 = u. What is n in -4/3 + t*n**5 - 67*n**2 + 16*n - 93*n**4 + 355/3*n**3 = 0?
2/9, 1
Factor -6/7 - 6/7*s**3 - 18/7*s**2 - 18/7*s.
-6*(s + 1)**3/7
Let t(v) = -v**3 + v**2 - 3*v + 7. Let d(m) = -m**3 - 2*m + 8. Let g(i) = -4*d(i) + 5*t(i). Factor g(a).
-(a - 3)*(a - 1)**2
Let y be (-1 - 1) + 5 + -2. Let g be y/((-15)/6 - -3). Find s such that 0*s - 2/5*s**3 + 0 + 2/5*s**5 - 2/5*s**4 + 2/5*s**g = 0.
-1, 0, 1
Let b = -198 - -1388/7. Factor 0 - b*k**3 + 2/7*k + 0*k**2.
-2*k*(k - 1)*(k + 1)/7
Let b(w) be the first derivative of -w**6/33 - 14*w**5/55 - 7*w**4/11 - 4*w**3/33 + 15*w**2/11 + 18*w/11 + 1. Let b(v) = 0. What is v?
-3, -1, 1
Let h(k) be the second derivative of -k**2 + k + 0 - 1/4*k**4 + 5/6*k**3. Factor h(z).
-(z - 1)*(3*z - 2)
Let m(i) be the first derivative of -i**5/60 + i**4/9 - 2*i**3/9 - i - 2. Let h(o) be the first derivative of m(o). Factor h(n).
-n*(n - 2)**2/3
Let p(d) = -4*d**4 - d**3 + d**2 + 2*d + 2. Let x(c) = 5*c**4 - 2*c**2 - 3*c - 3. Let f(b) = -3*p(b) - 2*x(b). Factor f(s).
s**2*(s + 1)*(2*s + 1)
Let k(u) be the first derivative of 0*u + 4/15*u**3 + 1/150*u**5 - 1/2*u**2 + 1/15*u**4 + 1. Let o(m) be the second derivative of k(m). Factor o(r).
2*(r + 2)**2/5
Suppose 9 = 5*b - 1. Let z = 26/7 - -34/21. Factor -z*h**3 + b*h**4 - 2/3 + 0*h + 4*h**2.
2*(h - 1)**3*(3*h + 1)/3
Let o be ((-2)/15)/(16/(-160)). Let r(j) be the third derivative of -4*j**2 + 0 + 1/3*j**4 - 1/30*j**5 + 0*j - o*j**3. Determine y so that r(y) = 0.
2
Let p(i) = 8*i**2 - 3. Let u(g) = -7*g**2 + 3. Let m(v) = 4*p(v) + 5*u(v). Determine n, given that m(n) = 0.
-1, 1
Suppose 59 = 3*c - 16. Suppose -c*l**2 - 12*l - 17*l**2 + l**2 - 7*l**2 + 27*l**3 = 0. What is l?
-2/9, 0, 2
Let n(u) be the first derivative of -u**5 - 15*u**4/4 - 5*u**3/3 + 15*u**2/2 + 10*u - 23. Factor n(s).
-5*(s - 1)*(s + 1)**2*(s + 2)
Let r(k) = k**3 - k**2 + k - 1. Let i(x) = 5*x**4 + 31*x**3 + 39*x**2 + 41*x + 4. Let d(h) = i(h) - 6*r(h). Factor d(f).
5*(f + 1)**3*(f + 2)
Determine b, given that -8/11*b - 40/11*b**2 + 0 - 18/11*b**3 = 0.
-2, -2/9, 0
Let t(y) be the third derivative of y**8/840 + y**7/210 + y**6/180 + y**3/2 - 3*y**2. Let b(p) be the first derivative of t(p). Factor b(j).
2*j**2*(j + 1)**2
Determine d, given that 0*d**2 + 1/3 + 2/3*d - 2/3*d**3 - 1/3*d**4 = 0.
-1, 1
Let u(r) be the second derivative of -r - 1/27*r**4 + 0 - 1/189*r**7 + 0*r**5 + 2/135*r**6 + 1/27*r**3 + 0*r**2. Factor u(b).
-2*b*(b - 1)**3*(b + 1)/9
Find k such that -k**3 + 7*k - 19*k + 13*k = 0.
-1, 0, 1
Let z(p) be the third derivative of 10/3*p**4 - 25/3*p**6 + 250/21*p**7 - 5*p**5 + 0*p + 0 + 8/3*p**3 - 8*p**2. Let z(d) = 0. What is d?
-1/5, 2/5
Let 16/3*t - 4/3*t**3 + 2*t**2 - 2/3*t**4 + 8/3 = 0. Calculate t.
-2, -1, 2
Determine k, given that -1550*k**5 - 637*k**5 - 4560*k**2 - 96 + 2436*k**4 + 4854*k**4 - 1200*k - 3240*k**3 = 0.
-2/9, 2
Let s = -10 + 12. Let m(p) be the second derivative of -1/10*p**6 + 0 - s*p + 1/12*p**4 + 0*p**2 - 1/5*p**5 + 1/3*p**3. Find a such that m(a) = 0.
-1, 0, 2/3
Let q(o) be the third derivative of 1/40*o**4 - 1/200*o**6 + 0*o + 0 - 8*o**2 + 0*o**5 + 0*o**3. Factor q(h).
-3*h*(h - 1)*(h + 1)/5
Let x = 680 + -13597/20. Let s(y) be the third derivative of -2/3*y**3 - 2*y**2 + 0 - x*y**5 + 0*y - 1/2*y**4. Factor s(t).
-(3*t + 2)**2
Let n(o) = -7*o**2 - 4*o - 4. Let q(a) be the second derivative of -a**4/2 - 2*a**3/3 - 2*a**2 - 2*a. Let g(m) = 5*n(m) - 6*q(m). Factor g(b).
(b + 2)**2
Let x be -1 - -5 - (5 - -1). Let r be (-5 - -5)/(x/(-2)). Find k, given that 1/3*k**3 + 1/3*k**2 + 0*k + r = 0.
-1, 0
Let 1/6*f**5 + 0 + 3/2*f**3 + 1/3*f - 7/6*f**2 - 5/6*f**4 = 0. Calculate f.
0, 1, 2
Let s(v) = -v**3 - 2*v**2 - 2*v. Let l be s(-2). Suppose -l*o = -o - 4*d - 16, -o = -d - 4. Suppose o - 1/3*n - 1/3*n**2 = 0. Calculate n.
-1, 0
Let d(s) be the second derivative of -3*s + 1/21*s**3 + 0 - 1/105*s**6 - 1/14*s**4 + 0*s**2 + 3/70*s**5. Factor d(j).
-2*j*(j - 1)**3/7
Let r(s) be the second derivative of -s**4/12 + 13*s**3/3 - 169*s**2/2 + 33*s. What is j in r(j) = 0?
13
Let j = 57 + -57. Let c(s) be the third derivative of 0 + j*s**3 + 0*s + 1/600*s**6 + 0*s**4 + 1/300*s**5 - 3*s**2. What is o in c(o) = 0?
-1, 0
Let g = 10 + -5. Suppose -g*h - 4 = -14. Solve 1/2*y**4 + 2*y**5 - h*y**3 + 0*y - 1/2*y**2 + 0 = 0 for y.
-1, -1/4, 0, 1
Let d(k) be the first derivative of -k**3/15 + k**2/10 + 17. What is s in d(s) = 0?
0, 1
Let m(w) = w**3 + 14*w**2 + 9*w + 13. Let y be m(-13). Let o be 36/y + (-2)/13. Factor 0 + 0*s + 4/5*s**4 + 2/5*s**5 + 0*s**2 + o*s**3.
2*s**3*(s + 1)**2/5
Solve 1/5*y**2 - 1/5*y**4 - 2/5*y**5 + 0 + 2/5*y**3 + 0*y = 0.
-1, -1/2, 0, 1
Let f be (-18)/3*(-1)/2. Factor -m**f + m**3 - 3*m**3 - 3*m**2.
-3*m**2*(m + 1)
Let p(g) be the first derivative of 2*g**5/5 + 2*g**4 + 4*g**3 + 4*g**2 + 2*g + 9. Factor p(x).
2*(x + 1)**4
Let w(k) = -6*k**4 - 8*k**3 + 18*k**2 - 12*k + 8. Let h(t) = -t**4 + t**2 - t + 1. Let c(v) = 8*h(v) - w(v). Factor c(l).
-2*l*(l - 2)*(l - 1)**2
Let p(s) = 2*s**3 - 6*s**2 - 16*s - 20. Let v be p(5). Suppose -1/4*g**2 + v + 0*g + 1/