8 + 0*j + 0*j**5. Solve l(x) = 0 for x.
-1, 0, 1
Suppose 2*o**3 + 113*o**2 - 43*o**2 + 3*o**3 = 0. Calculate o.
-14, 0
Find a such that 648 - 5*a + a**3 + 0*a**2 - 2*a**2 - 642 = 0.
-2, 1, 3
Let c(w) = -w**3 + 4*w**2 - 4*w + 2. Let p be c(2). Let b be p/6 + 4/(-12). Factor -13*k**3 + b*k**5 + 10*k**3 - 6*k**4 - 3*k**5.
-3*k**3*(k + 1)**2
Let m(b) be the second derivative of -3*b**7/140 + b**6/10 - 13*b**5/120 + b**4/24 + 7*b**2/2 + 34*b. Let p(x) be the first derivative of m(x). Factor p(j).
-j*(j - 2)*(3*j - 1)**2/2
Let b(y) = -y + 6. Let d be b(2). What is u in -4*u**2 + 3*u**d - 8*u**3 - u**4 + 32*u + 2*u**4 - 12*u**2 = 0?
-2, 0, 2
Let b(i) be the first derivative of -12 + 4/3*i - 2/9*i**3 - 1/3*i**2. Factor b(t).
-2*(t - 1)*(t + 2)/3
Let m(s) be the third derivative of -s**5/3 - 121*s**4/3 - 64*s**3 - 464*s**2. Factor m(u).
-4*(u + 48)*(5*u + 2)
Let j = -173/66 - -65/22. Determine u so that j*u**4 + 0 + 1/3*u**5 + 0*u - 2/3*u**3 + 0*u**2 = 0.
-2, 0, 1
Factor 4/3*t**4 - 5/3*t**2 + t - t**3 + 1/3.
(t - 1)**2*(t + 1)*(4*t + 1)/3
Let s(q) be the second derivative of -q**6/150 + 7*q**5/10 + 18*q**4/5 + 109*q**3/15 + 73*q**2/10 + q - 581. What is t in s(t) = 0?
-1, 73
Let n(x) be the third derivative of x**7/630 - 7*x**6/360 + x**5/30 - 44*x**2 + 2. Determine s so that n(s) = 0.
0, 1, 6
Let k(u) be the first derivative of u**5/5 + 6*u**4 + 48*u**3 - 57. Factor k(m).
m**2*(m + 12)**2
Let v(t) be the second derivative of 1/120*t**6 + 1/16*t**4 - 1/24*t**3 + 0 + 0*t**2 - 3/80*t**5 + 11*t. Let v(n) = 0. What is n?
0, 1
Let w(b) be the third derivative of -b**8/112 - b**7/35 + b**6/10 + b**5/10 - 3*b**4/8 + 2*b**2 - 14. Solve w(s) = 0.
-3, -1, 0, 1
Factor 8/7*u**2 + 2/7*u**3 - 8/7 - 2/7*u.
2*(u - 1)*(u + 1)*(u + 4)/7
Let f(a) be the first derivative of a**6/160 + a**5/80 + 5*a**2/2 + 39. Let n(z) be the second derivative of f(z). Solve n(v) = 0 for v.
-1, 0
Let i(f) be the first derivative of -f**4/2 - 2*f**3 + f**2 + 6*f - 30. Suppose i(z) = 0. Calculate z.
-3, -1, 1
Factor -1/8*m**2 - 33/4 + 35/8*m.
-(m - 33)*(m - 2)/8
Let f(y) = -4*y**3 - 4*y**2 - 4*y + 12. Let w(z) = -9*z**3 - 8*z**2 - 9*z + 26. Let s(b) = -14*f(b) + 6*w(b). Let s(n) = 0. What is n?
-3, -2, 1
Suppose 4*b - 64 = 8*b. Let k be (b/10)/((-10)/25). Let m(r) = -6*r**2 + 4*r + 6. Let z(y) = -7*y**2 + 5*y + 7. Let j(v) = k*z(v) - 5*m(v). Factor j(s).
2*(s - 1)*(s + 1)
Let i be ((-25)/1)/((-44)/(-132)). Let c be 1*2/(-6) - i/135. Factor -2/3*d**2 - 8/9*d + 0 + c*d**3.
2*d*(d - 4)*(d + 1)/9
Factor -752/3*n - 4/3*n**2 - 35344/3.
-4*(n + 94)**2/3
Let k(j) = -3*j - 1. Let l be k(-1). Factor -20*a - 19 + 9 - 10 - 5*a**l.
-5*(a + 2)**2
Let i(q) = -15*q**2 + 24*q - 5. Let z(s) = -22*s**2 + 36*s - 8. Let r(a) = 8*i(a) - 5*z(a). Factor r(k).
-2*k*(5*k - 6)
Let x(y) = y**3 - y**2 - 20. Let f be x(0). Let w be (-14)/f - (2 + 6/(-4)). Solve 1/5*i**4 + 0*i + 0*i**2 - 2/5*i**3 + 0 + w*i**5 = 0 for i.
-2, 0, 1
Let y = 21 + -9. Suppose 2*j = 4*j - y. Factor -3*l**2 - 3 + 5 - 5 - j*l.
-3*(l + 1)**2
Let l be -3 + (-382)/(-110) + (-5)/25. Factor 0 + 1/11*v**3 + 0*v - l*v**4 + 0*v**2 + 2/11*v**5.
v**3*(v - 1)*(2*v - 1)/11
Suppose -30*j = -20*j - 40. Let y(a) be the second derivative of 1/4*a**j + 0 - 1/2*a**3 + 0*a**2 - 2*a + 3/20*a**5 - 1/10*a**6. Find i such that y(i) = 0.
-1, 0, 1
Let q = 6/29 + 86/145. Determine r, given that 14/15*r**2 - q - 38/15*r = 0.
-2/7, 3
Suppose 0 = -5*f + 40, 21*f + 14 = 3*o + 22*f. Factor -4/9*d**o + 8/9*d + 4/3.
-4*(d - 3)*(d + 1)/9
Let r(c) be the first derivative of c**2 + 1/6*c**6 - 3/4*c**4 + 1/5*c**5 - 1/3*c**3 + 0*c + 17. Find a, given that r(a) = 0.
-2, -1, 0, 1
Let c(u) be the first derivative of u**4/84 + 4*u**3/21 + 8*u**2/7 - 10*u - 11. Let v(w) be the first derivative of c(w). Factor v(s).
(s + 4)**2/7
Let y be ((-9)/2)/((-15)/40). Suppose -13*w = -9*w - y. Factor -9*f - 5*f**5 - 3*f**2 + 12*f**3 + 2*f**5 + 6 - w*f**2.
-3*(f - 1)**3*(f + 1)*(f + 2)
Suppose -5*r + 4*r = -2. Suppose -6*f + r + 16 = 0. Let -3/5 - 3/5*v - 3/5*v**5 + 6/5*v**f + 6/5*v**2 - 3/5*v**4 = 0. Calculate v.
-1, 1
Let j = -33 - -53. Let o be (j/(-12) - -1)/((-4)/18). What is l in -2/7*l**o + 0*l**2 + 2/7*l + 0 = 0?
-1, 0, 1
Let u(a) be the third derivative of a**5/210 - 85*a**4/42 + 7225*a**3/21 + 5*a**2 - 2. Factor u(k).
2*(k - 85)**2/7
Let a(u) = 6*u**2 - 3*u - 5. Let x be a(-2). Let h = x + -21. Factor o**5 - 2*o - 4*o**3 + 5*o**5 + 10*o**h - 9*o**2 - 3*o**2 + 2.
2*(o - 1)*(o + 1)**3*(3*o - 1)
Suppose -2*r = -6*r + 2*i + 90, 5 = i. Let p be ((-85)/r + 3)/((-9)/5). Factor 2/9*x**3 + 0*x - 2/9*x**5 - p*x**2 + 2/9*x**4 + 0.
-2*x**2*(x - 1)**2*(x + 1)/9
Let a be (2 + -5)*6/9*1. Let j be (-8)/90*5/a. Suppose -2/9*r**2 + 0*r + j*r**5 + 0 + 2/9*r**4 - 2/9*r**3 = 0. Calculate r.
-1, 0, 1
Let f be 9 + (1 - 0) + -5. Suppose -f*i = -14 - 1. Factor 2*j**i + j - 3*j - 4*j**2 + 2 + 2.
2*(j - 2)*(j - 1)*(j + 1)
Let o(w) be the first derivative of w**3 - 33*w**2/2 - 36*w - 100. Factor o(d).
3*(d - 12)*(d + 1)
Let v(y) = -8*y**2 - 8*y. Let z = 42 + -44. Let w(p) = p**2 + p. Let g(k) = z*v(k) - 14*w(k). Factor g(n).
2*n*(n + 1)
Let p(o) be the first derivative of 2*o**6/3 + 6*o**5 + 2*o**4 - 44*o**3/3 - 6*o**2 + 14*o + 775. Suppose p(v) = 0. What is v?
-7, -1, 1/2, 1
Let h = 1603/39 + -530/13. What is v in 1/6 - 1/3*v**3 + 0*v**2 - 1/6*v**4 + h*v = 0?
-1, 1
Suppose -4*c - 51 = -3*c. Let t be 4 + 1*-3 + c/(-15). Determine u so that -18/5*u**2 + 2/5*u**3 + 2/5*u**4 - 8/5 + t*u = 0.
-4, 1
Suppose 3*d - 8 = -d. Suppose -d*m - 6 = -5*z, -2*m + 2 = -2. Factor -2 + 7*v - 2*v - 5*v**3 + 81*v**z - 86*v**2 + 7.
-5*(v - 1)*(v + 1)**2
Let m(r) be the first derivative of -r**4/4 - 5*r**3/3 - 3*r**2 + r + 11. Let i be m(-4). Factor -3*l**3 - i*l + 6*l**3 + 3*l**2 + 3*l + 0*l**2.
3*l*(l - 1)*(l + 2)
Suppose -4*h + 3*g = -0 - 6, 0 = -5*h + 5*g + 10. Solve h*x**2 - 140*x + 2 + 0*x**2 + 2*x**2 + 144*x = 0.
-1
Let w(f) be the first derivative of 0*f**5 - 2*f**4 - 4*f + 1/3*f**6 + 3*f**2 - 24 + 4/3*f**3. Suppose w(u) = 0. What is u?
-2, -1, 1
Factor -5*f**3 + 1435*f**2 - 1435*f**2 + 15*f + 1 + 9.
-5*(f - 2)*(f + 1)**2
Let n(z) be the first derivative of -2*z**5/45 - 7*z**4/9 - 16*z**3/3 - 18*z**2 - 30*z - 56. Solve n(j) = 0.
-5, -3
What is f in -8/11*f**2 + 2/11*f**5 + 4/11*f**4 - 4/11*f**3 + 2/11*f + 4/11 = 0?
-2, -1, 1
Let b(h) = 4*h**3 + 5*h**2 + 21*h + 6. Let v(m) = -17*m**3 - 19*m**2 - 86*m - 26. Let x(z) = -26*b(z) - 6*v(z). Factor x(j).
-2*j*(j + 3)*(j + 5)
Let t = -895 - -900. Let o(d) be the first derivative of 1/15*d**3 - 2 + 0*d - 1/25*d**t - 1/20*d**4 + 1/30*d**6 + 0*d**2. Solve o(g) = 0 for g.
-1, 0, 1
Let p be 0/(((13 + -5)/(-4))/1). Let m(t) be the third derivative of -1/6*t**3 - 1/48*t**4 + p*t - 8*t**2 + 1/120*t**5 + 0. Suppose m(f) = 0. What is f?
-1, 2
Let f = -46 - -48. Factor -6 + 3*w - 16*w**2 + 5*w**2 - 3*w**3 + 13*w**2 + 4*w**f.
-3*(w - 2)*(w - 1)*(w + 1)
Let y(u) = 3*u**4 - 15*u**3 - 29*u**2 + 144*u + 5. Let c(v) = -v**4 + 8*v**3 + 14*v**2 - 72*v - 2. Let t(o) = 5*c(o) + 2*y(o). Factor t(b).
b*(b - 2)*(b + 6)**2
Factor 2*l**3 - 15 + 29*l**2 + 25 - 3*l**3 + 17 - 55*l.
-(l - 27)*(l - 1)**2
Suppose 4*k - 3*c = 16, k + 36 = 2*c + 40. Let d(o) be the first derivative of k*o**4 + 10*o**2 + 8*o + 10 - 44/3*o**3. Solve d(m) = 0.
-1/4, 1, 2
Let r(w) be the second derivative of -w**4/6 - 2*w**3 - 8*w**2 + w - 169. Let r(f) = 0. What is f?
-4, -2
Let n(g) = g - 1. Let f be n(5). What is w in 6*w**2 - 3*w**3 + 3 - f*w - 3 + w**3 = 0?
0, 1, 2
Let g(q) be the second derivative of -q**5/60 - 7*q**4/36 - 11*q**3/18 - 5*q**2/6 + 59*q + 3. Find x such that g(x) = 0.
-5, -1
Let y(n) be the second derivative of 65*n**7/42 + 20*n**6/3 + 4*n**5 - 95*n**4/6 - 145*n**3/6 - 5*n**2 - 317*n. Find m, given that y(m) = 0.
-2, -1, -1/13, 1
Let p(g) be the second derivative of g**4/9 - 2*g**3/9 + 3*g + 50. Solve p(w) = 0.
0, 1
Let g be 1/2 + (-8 - 5/((-25)/40)). Let 0 - g*y**2 + 1/2*y = 0. What is y?
0, 1
Let p(t) be the first derivative of -4*t**5/15 + 2*t**4/3 - 9. Factor p(c).
-4*c**3*(c - 2)/3
Let 29/5*l + 1/5*l**2 - 62/5 = 0. Calculate l.
-31, 2
Let b = 4805/39 + -353/3. Find w, given that -2/13*w**2 - 24/13*w - b = 0.
-6
Find r, given that 16*r**3 - 3*r + 6*r**3 - 2*r - 37*r**3 - 20*r**2 = 0.
-1, -1/3, 0
Let w(f) be the thir