**5 + 0 + 5*v**2 + 0*v + 1/15*v**6 + 0*v**3 + 0*v**4. Let q(x) = 0. Calculate x.
0, 1
Let f be (-6)/(-15) + 2/(-5). Suppose 3*k - 15 = -2*k, 5*k - 25 = -5*h. Factor 3*p**2 + 2*p**3 + 0*p**3 - p**h + f*p**2.
2*p**2*(p + 1)
Let s be (-2 - 1)*(-2)/12. Let -1/4*i**5 - i + 0 + 3/4*i**3 - i**2 + s*i**4 = 0. What is i?
-1, 0, 2
Let x(q) be the third derivative of q**6/600 - q**4/40 - q**3/15 + 8*q**2. What is g in x(g) = 0?
-1, 2
Suppose 3*y - 4*n = 26, 0*n = n + 5. Let j = 0 + y. Factor 1/4 + f**j - 5/4*f.
(f - 1)*(4*f - 1)/4
Let v = -28 + 26. Let c be 2 + (-6)/(-10) + v. Solve 2/5*s**2 + 1/5*s**5 + 1/5 - c*s**4 + 2/5*s**3 - 3/5*s = 0 for s.
-1, 1
What is k in -9/2*k - 15/4 - 3/4*k**2 = 0?
-5, -1
Let u = -343/2 + 3103/18. Suppose 98/9*k**5 - u*k - 10*k**3 + 56/9*k**4 + 0 - 56/9*k**2 = 0. Calculate k.
-1, -2/7, 0, 1
Let q be (-3 - -4)*1*13. Find l, given that 2*l**2 + 3*l - l**2 - q*l**2 = 0.
0, 1/4
Let g be (-5)/(-10)*-3*8/(-84). Find s, given that g*s**2 + 9/7 - 6/7*s = 0.
3
Let b(r) = r**3 + r**2 - 1. Let q(a) = a**4 + 2*a**3 - a - 1. Suppose 0 = 3*o + 3 - 6. Let d(h) = o*q(h) - b(h). Determine f, given that d(f) = 0.
-1, 0, 1
Let d(y) be the first derivative of -y**6/3 - 4*y**5/5 - 17. Factor d(f).
-2*f**4*(f + 2)
Let t(w) be the first derivative of -8/5*w**5 + 1/2*w**4 + 0*w**2 + 0*w**3 - 4 + 0*w. Let t(p) = 0. Calculate p.
0, 1/4
Let w(k) = 12*k**2 - 36*k + 24. Let x(u) = 4*u**2 - 12*u + 8. Let j(f) = 3*w(f) - 8*x(f). Factor j(p).
4*(p - 2)*(p - 1)
Let d(t) = -17*t**5 + 8*t**4 + 25*t**3 - 16*t**2 - 17*t - 1. Let r(k) = 4*k**5 - 2*k**4 - 6*k**3 + 4*k**2 + 4*k. Let i(q) = 2*d(q) + 9*r(q). Factor i(s).
2*(s - 1)**3*(s + 1)**2
Let d(g) = -g**3 + 3*g**2 + 4. Let f be d(3). Suppose -10 - 2 = -3*m. Factor -c**2 - m*c**4 - 2*c**f + 3*c**2 + 4*c**4.
-2*c**2*(c - 1)*(c + 1)
Let r(p) be the first derivative of p**6/105 - p**5/210 - p**2/2 - 1. Let s(b) be the second derivative of r(b). Factor s(l).
2*l**2*(4*l - 1)/7
Suppose 4*r + 1 = 21. Suppose -4*n - r*a = -33, 3*n - 5*a + 4 = -15. Factor -2*t**4 + t**n + 0*t**4 + t**4.
-t**2*(t - 1)*(t + 1)
Let v(x) be the third derivative of 0*x - 1/21*x**4 - 5*x**2 + 1/210*x**5 + 4/21*x**3 + 0. What is g in v(g) = 0?
2
Suppose -j = g - 9, 3*g + 9 = -j + 30. Factor -6*h - g - 3/2*h**2.
-3*(h + 2)**2/2
Let g be (-18)/108 + 17/6. Suppose -16/9 - g*c - 4/3*c**2 - 2/9*c**3 = 0. Calculate c.
-2
Let b(r) be the third derivative of r**9/75600 + r**8/25200 - r**5/60 + 4*r**2. Let p(y) be the third derivative of b(y). Factor p(n).
4*n**2*(n + 1)/5
Let o be 60/140 - (-6)/(-14). Let -2/9*s - 4/9*s**2 + o - 2/9*s**3 = 0. Calculate s.
-1, 0
Let d = 12 - 8. What is h in -3*h**2 + 15*h**2 + 21*h**d - 2*h**5 - h**5 - 6*h**4 - 24*h**3 = 0?
0, 1, 2
Let y(g) be the first derivative of g**7/630 + g**6/180 + g**5/180 - 3*g**2/2 - 3. Let v(q) be the second derivative of y(q). Solve v(b) = 0 for b.
-1, 0
Let k(x) = x**2 + 3*x - 2. Suppose 2*v - 2*z + 6 = 0, -3*v = v + 2*z - 12. Let w be k(v). Factor 16/9*g**w + 14/9*g - 4/9*g**4 + 4/9*g**3 + 4/9 - 2/9*g**5.
-2*(g - 2)*(g + 1)**4/9
Factor -2/3 - 2/3*f**2 - 4/3*f.
-2*(f + 1)**2/3
Let z(g) be the third derivative of g**7/105 - 2*g**6/15 + 7*g**5/10 - 3*g**4/2 + 31*g**2. Factor z(y).
2*y*(y - 3)**2*(y - 2)
Suppose -2*g = 5*y + 2, g - 10*y = -12*y. Factor -2/3*h**3 + 1/3*h + 0*h**2 + 1/3*h**5 + 0*h**g + 0.
h*(h - 1)**2*(h + 1)**2/3
Let b be (6/45)/((-111)/(-1245)). Let j = b - 6/37. Find a such that 2/3 - 2/3*a**4 + j*a - 4/3*a**3 + 0*a**2 = 0.
-1, 1
Let d(i) = 6*i**3 + 9*i**2 + 6*i. Let c(f) = -7*f**3 - 10*f**2 - 7*f. Let w be 0 - (-9)/(12/4). Let o(k) = w*c(k) + 4*d(k). Factor o(z).
3*z*(z + 1)**2
Suppose -2*o + o = 5*j - 7, -j = 3*o + 7. Suppose 0 = -4*f + n + 4, 2*n + n = 4*f + 4. Factor 2*a**f + j*a - 5 + 5.
2*a*(a + 1)
Let p(m) be the first derivative of 4*m**3/3 + 2*m**2 - 7. Solve p(r) = 0 for r.
-1, 0
Let x(l) = -152*l**4 - 40*l**3 + 17*l**2 + 11*l - 8. Let c(p) = -51*p**4 - 13*p**3 + 6*p**2 + 4*p - 3. Let v(f) = 8*c(f) - 3*x(f). Let v(r) = 0. What is r?
-1/3, -1/4, 0, 1/4
Let n(f) = 2*f**2 - 3*f + 4. Suppose -4*u + 1 = -11. Let o(b) = 9*b - 4*b - 1 - u*b**2 - 6. Let k(j) = 10*n(j) + 6*o(j). Factor k(h).
2*(h - 1)*(h + 1)
Let c(l) be the third derivative of 5*l**8/12 + 62*l**7/105 - 43*l**6/30 - 7*l**5/3 + 4*l**4/3 + 8*l**3/3 + 3*l**2. Find p such that c(p) = 0.
-1, -2/7, 2/5, 1
Suppose -118*g + 18 = -109*g. Find h, given that -9/5*h**4 + 0*h + 3/5*h**5 - 3/5*h**g + 9/5*h**3 + 0 = 0.
0, 1
Let r(y) = 2*y**2 - 1. Let x(l) = 20*l**2 - 76*l - 733. Let q(b) = 22*r(b) - 2*x(b). Let q(t) = 0. Calculate t.
-19
Determine g so that -2*g + 1/2*g**2 + 2 = 0.
2
Factor -3/5*t**4 + 0 + 9/5*t**3 + 0*t + 0*t**2.
-3*t**3*(t - 3)/5
Let w(b) be the first derivative of 2*b**5/25 - 2*b**3/5 - 2*b**2/5 + 4. Factor w(y).
2*y*(y - 2)*(y + 1)**2/5
Suppose -60 = -2*x - x. Suppose 5*r = -2*q + q + 16, 2*r = 3*q + x. Factor -w + 0*w**r + 2*w**3 + 1 - 2*w**2 - w**5 + 4*w**4 - 3*w**4.
-(w - 1)**3*(w + 1)**2
Let m(x) be the third derivative of x**2 + 0*x + 0 - 1/84*x**4 + 1/210*x**5 + 0*x**3. Solve m(s) = 0.
0, 1
Let r(y) be the third derivative of y**5/30 + y**4/3 + y**3 + 7*y**2. Factor r(n).
2*(n + 1)*(n + 3)
Factor -2/3*x + 4 - 2/3*x**2.
-2*(x - 2)*(x + 3)/3
Let w(f) = f**3 - f**2 - f + 1. Let g(d) be the third derivative of -d**6/40 + d**5/10 + 5*d**4/24 - 2*d**3/3 + 7*d**2. Let u(b) = -g(b) - 4*w(b). Factor u(o).
-o*(o + 1)**2
Let m(d) be the first derivative of -3*d**5/5 + 2*d**3 - 3*d + 15. Find o, given that m(o) = 0.
-1, 1
Let z(l) = -l**2 - 24*l - 43. Let v be z(-22). Let 1/2*y**2 - 3/2*y + v = 0. Calculate y.
1, 2
Let y(c) be the second derivative of -c**7/49 - 11*c**6/105 - c**5/5 - c**4/7 + c**3/21 + c**2/7 + 8*c. Determine h, given that y(h) = 0.
-1, 1/3
Let a(f) be the first derivative of 0*f - 2 - 1/14*f**4 + 0*f**2 + 0*f**3. Factor a(w).
-2*w**3/7
Suppose -45 + 24 = -7*h. What is d in -3/7*d**h + 6/7*d**2 + 0 - 3/7*d = 0?
0, 1
Let w be 3 - (-3)/(-4)*20/6. Let r = 83/364 - -2/91. Factor -w*v**3 + r*v + 0*v**4 + 0*v**2 + 0 + 1/4*v**5.
v*(v - 1)**2*(v + 1)**2/4
Let d(s) = -5*s + 1. Let v be d(-2). Let t = v + -8. Solve t*b**4 + b**5 - 4*b**4 + 2*b**4 = 0.
-1, 0
Let g(v) be the first derivative of -5*v**3 - 21*v**2/2 - 6*v - 2. What is b in g(b) = 0?
-1, -2/5
Let n be 17/(-357)*7/(-10). Let d(c) be the third derivative of -1/60*c**6 + 0*c + 0*c**4 + n*c**5 + 3*c**2 + 0 - 1/105*c**7 + 0*c**3 + 1/168*c**8. Factor d(k).
2*k**2*(k - 1)**2*(k + 1)
Let n(m) be the third derivative of 2*m**7/105 + m**6/30 - m**5/3 + m**4/2 - 31*m**2. Factor n(i).
4*i*(i - 1)**2*(i + 3)
Let t(f) = f**3. Let p = 4 + -5. Let z(q) = -q**3 + q**2 - q - 1. Let n(h) = p*z(h) - 2*t(h). Factor n(k).
-(k - 1)*(k + 1)**2
Let p = -45 + 91/2. Suppose -1/2*h**4 + 0 - 1/2*h + 1/2*h**2 + p*h**3 = 0. Calculate h.
-1, 0, 1
Let v(a) be the second derivative of -a**7/11340 - a**6/3240 + a**4/6 + 4*a. Let f(r) be the third derivative of v(r). Factor f(d).
-2*d*(d + 1)/9
Let u = 567 - 2833/5. Solve -u*f + 0 - 2/5*f**2 = 0.
-1, 0
Let f(q) be the second derivative of 5*q**7/42 - q**6/3 - q**5/4 + 5*q**4/6 + 3*q. Factor f(l).
5*l**2*(l - 2)*(l - 1)*(l + 1)
Suppose 0 = 3*i - 8*i + 20. Factor -2*z - 3*z**2 - 1 + i*z + 3 + z**2 - 2*z**3.
-2*(z - 1)*(z + 1)**2
Factor -m - 56*m**2 + 3 + 55*m**2 - 1.
-(m - 1)*(m + 2)
Let o be 5/(-25) - (-42)/10. Suppose -12*f - 3 + 2*f**2 + f**o + 11*f**2 - 6*f**3 + 7 = 0. Calculate f.
1, 2
Let j be (-1)/(0 - 2/10). Suppose 2*a - 1 = 4*f + j, -3*a - f = -9. Factor 7*z**2 - 3*z**2 - 5*z - 2*z**a + z**3 + 1 + 1.
-(z - 2)*(z - 1)**2
Let k(t) be the second derivative of 1/1980*t**6 - 1/660*t**5 - 1/66*t**4 + 0*t**2 + 1/6*t**3 - 2*t + 0. Let v(a) be the second derivative of k(a). Factor v(z).
2*(z - 2)*(z + 1)/11
Suppose 5*b - 28 = -4*z, -z - 4*b + 5 + 2 = 0. Solve 1 + 1 - z*x**2 - 17*x**2 + 22*x**2 = 0.
-1, 1
Let l(h) be the third derivative of 2/35*h**7 - 1/5*h**5 + 1/21*h**8 + 0 + 1/6*h**4 + 0*h**3 - 1/6*h**6 + 6*h**2 + 0*h. Let l(f) = 0. What is f?
-1, 0, 1/4, 1
Let b(t) = 3*t**3 - 6*t**2 + 8*t - 5. Let m(s) = -s**3 + 2*s**2 - 3*s + 2. Let x(y) = 4*b(y) + 11*m(y). Suppose x(l) = 0. Calculate l.
-1, 1, 2
Let i(z) be the second derivative of -z**7/56 - z**6/40 + 3*z**5/40 + z**4/8 - z**3/8 - 3*z**2/8 - 6*z. Factor i(d).
-