= 0.
1, 2, 8
Let a be -2 + (0 + 2 - 2). Let l = 3 + a. Solve l + s**2 + s**3 + 3 - 4*s**2 = 0 for s.
-1, 2
Suppose 0*m - 1/5*m**4 + 3/5*m**3 - 2/5*m**2 + 0 = 0. What is m?
0, 1, 2
Let z(b) be the second derivative of 7*b**5/40 + 5*b**4/24 - 4*b**3/3 + b**2 - 4*b. Factor z(i).
(i - 1)*(i + 2)*(7*i - 2)/2
Let l(b) = -7*b - 1. Let u be l(-1). Let t be (-1)/(1/u*-2). Suppose -3*h**5 - h**5 + 3*h**5 + h**t = 0. Calculate h.
-1, 0, 1
Let c be (-5 - 2)*(-36)/(-294)*-2. Factor -2/7*g**4 + 8/7*g - 2/7 - c*g**2 + 8/7*g**3.
-2*(g - 1)**4/7
Let s(d) be the first derivative of d**6/1260 - d**3 + 3. Let f(g) be the third derivative of s(g). Determine n so that f(n) = 0.
0
Let b = 12157 + -522725/43. Let i = 1248/215 - b. Determine s so that -8/5*s**3 + 4/5 - 22/5*s + i*s**2 = 0.
1/4, 1, 2
Let t(p) be the second derivative of 1/3*p**3 - 1/10*p**5 + 1/3*p**4 - 2*p**2 + 0 + 4*p. Factor t(x).
-2*(x - 2)*(x - 1)*(x + 1)
Let k(r) be the third derivative of r**7/1260 + r**6/144 + r**5/45 + r**4/36 + 2*r**2. Let k(i) = 0. Calculate i.
-2, -1, 0
Let f(g) = -3*g**2 - 65*g - 97. Let n be f(-20). Determine q, given that -4/3*q**n - 256/3 - 64*q - 16*q**2 = 0.
-4
Let j = -25 + 25. What is o in 2/3*o - 2/3*o**3 + j - 2/3*o**4 + 2/3*o**2 = 0?
-1, 0, 1
Let h(p) be the third derivative of p**7/1365 + p**6/780 + 2*p**2. Factor h(z).
2*z**3*(z + 1)/13
Let p = -10 - -6. Let l = 7 + p. Factor 0 - 5*k - 6*k**2 - 2*k**l - 2 - k.
-2*(k + 1)**3
Let t(f) be the second derivative of f**4/42 - 2*f**3/21 + f**2/7 + 7*f. Let t(y) = 0. What is y?
1
Let f = -1217/6 + 203. Let -1/6*n**2 + f*n**4 + 1/6*n**5 + 0*n + 0 - 1/6*n**3 = 0. What is n?
-1, 0, 1
Let l(m) be the second derivative of -m**7/5040 + m**5/240 - m**4/2 + 3*m. Let j(v) be the third derivative of l(v). Factor j(u).
-(u - 1)*(u + 1)/2
Let z = 4 + -4. Suppose -2*i = -z*i. Let i*r**3 + 2*r + r**3 - 3*r**3 + 0*r**3 - 4*r**2 + 4 = 0. What is r?
-2, -1, 1
Factor 0 - 2/9*b - 4/9*b**2 - 2/9*b**3.
-2*b*(b + 1)**2/9
Suppose 0 = -2*f - 4 - 0. Let x(k) = k**3 + k**2 - 2*k. Let y be x(f). Factor 0*q**3 + 0*q + 0 + y*q**2 - 2/7*q**4.
-2*q**4/7
Let m(g) = g - 6. Let d = -25 + 35. Let w be m(d). Factor 5*k**3 - 1 - k**3 - w*k - 2*k**2 - 2 + 5.
2*(k - 1)*(k + 1)*(2*k - 1)
Let i(n) = 4*n**2 - 12*n + 21. Let l(p) = -p**2 + 3*p - 5. Let g(q) = 6*i(q) + 26*l(q). Find r, given that g(r) = 0.
1, 2
Let t(c) = 5*c**3 - 2*c**2 - 13*c + 24. Let b(d) = -6*d**3 + 2*d**2 + 12*d - 24. Let m(i) = 3*b(i) + 4*t(i). Let m(n) = 0. What is n?
-3, 2
Suppose -j + 6*j = 15. Factor 5*z + 1 - 3*z**2 - j*z + 4*z**2.
(z + 1)**2
Let k be 3/1 + (-4 - -19). Find b, given that -6 + 0*b + 3*b + k*b**2 - 15*b**2 = 0.
-2, 1
Let j(f) be the second derivative of f**7/84 + f**6/20 + f**5/40 - f**4/8 - f**3/6 + 9*f. Factor j(p).
p*(p - 1)*(p + 1)**2*(p + 2)/2
Let y(a) = -4*a**2 - 68*a. Let u(i) = 3*i**2 + 45*i. Let l(n) = -8*u(n) - 5*y(n). Factor l(h).
-4*h*(h + 5)
Let t(l) be the first derivative of l**4/6 + 10*l**3/9 + 8*l**2/3 + 8*l/3 - 29. Factor t(a).
2*(a + 1)*(a + 2)**2/3
Factor -3/4*u**5 + 0*u + 0*u**2 + 0*u**3 + 0 + 1/2*u**4.
-u**4*(3*u - 2)/4
Let g(c) be the third derivative of c**7/1680 - c**6/1440 - c**5/240 + c**4/96 + c**3/2 - 3*c**2. Let d(f) be the first derivative of g(f). Factor d(j).
(j - 1)*(j + 1)*(2*j - 1)/4
Let a(g) = 2*g**3 + 2*g**2 + 2. Let w(c) = -c**4 + 5*c**3 + 6*c**2 + 7. Let b(y) = -14*a(y) + 4*w(y). Determine m, given that b(m) = 0.
-1, 0
Let g = -452 - -455. Solve -8/5*s**4 + 4/5 + 8/5*s**g + 2/5*s**5 + 4/5*s**2 - 2*s = 0.
-1, 1, 2
Let x = -1278/77 - -192/11. Determine f so that 0 - 6/7*f**2 + 10/7*f**5 - 2*f**3 + 4/7*f + x*f**4 = 0.
-1, 0, 2/5, 1
Let t = -244/5 - -49. Factor -1/5*l**3 + 0 + t*l**2 + 1/5*l - 1/5*l**4.
-l*(l - 1)*(l + 1)**2/5
Suppose 5*k + 1 = 21, -2*q = 4*k - 20. Let x be 0 + -1 + 2 - (-18 - -16). Factor -1/2*p**5 + p**q + 0*p**x + 0 + 1/2*p - p**4.
-p*(p - 1)*(p + 1)**3/2
Suppose -3*v - 2*v - 4*d = -15, -2*d = -5*v + 15. Determine j, given that -4 - 9*j + 21*j - 7*j**4 - v*j**3 - 9*j**3 - 9*j**2 + 20*j**2 = 0.
-2, -1, 2/7, 1
Let z(v) = -v - 4. Let x be z(-5). Find q such that q**5 - 3*q - x - 2*q**3 + 3*q**4 - 2*q**2 - 2*q**3 + 6*q**3 = 0.
-1, 1
Let c(g) be the third derivative of -g**8/336 + g**7/70 - g**6/40 + g**5/60 + 3*g**2. Solve c(q) = 0.
0, 1
Let y(x) be the first derivative of -4*x**3/3 + 16*x - 56. Factor y(a).
-4*(a - 2)*(a + 2)
Let v(t) be the second derivative of -t**5/90 + 12*t. Solve v(h) = 0.
0
Factor 60*u**3 - 2*u**4 + 2*u**4 + 300*u + 0*u**4 - 5*u**4 - 125 - 230*u**2.
-5*(u - 5)**2*(u - 1)**2
Let f = 19 - 19. What is x in f*x + 1/4 - 1/4*x**2 = 0?
-1, 1
Determine l, given that 4*l**2 + 3*l**2 - l**3 - 8*l**2 = 0.
-1, 0
Let 3/8*i**5 + 15/8*i**2 - 3/4*i - 9/8*i**3 + 0 - 3/8*i**4 = 0. Calculate i.
-2, 0, 1
Let s(c) be the first derivative of 4*c**3/3 - 4*c**2 + 4*c + 44. What is b in s(b) = 0?
1
Let i = 15 + -10. Suppose 4*n = 3 + i. Suppose c + c**n - 2*c + 0*c**2 = 0. What is c?
0, 1
Suppose 0*t + 5*v = -t, 0 = -3*t - 3*v. Let o = 17 - 5. Factor 8*u + 4*u**3 + 2*u**4 + 4*u**3 + t + o*u**2 + 2.
2*(u + 1)**4
Let c(i) = -3*i**3 - i**2 + 2*i - 1. Let r be c(1). Let m be 2/12*r/(-2). Factor 3/4*d**3 + 1/4*d**2 + 0 + m*d**5 + 3/4*d**4 + 0*d.
d**2*(d + 1)**3/4
Suppose 5*r - 5 = 4*r. Let w(z) be the third derivative of -7/12*z**4 + 2*z**2 + 7/60*z**6 - 2/3*z**3 + 0 + 0*z + 1/15*z**r. Factor w(v).
2*(v - 1)*(v + 1)*(7*v + 2)
Factor 1/2*r**2 + 0 - 1/4*r**3 - 1/4*r.
-r*(r - 1)**2/4
Let u(o) = 28*o**4 + 97*o**3 + 75*o**2 + 21*o + 5. Let d(l) = -14*l**4 - 48*l**3 - 38*l**2 - 10*l - 2. Let w(i) = -10*d(i) - 4*u(i). Let w(x) = 0. What is x?
-2, -1, -2/7, 0
Suppose 4*r = 5*r - 5*r. Factor -2/7*t**3 - 2/7*t**2 + r + 2/7*t**4 + 2/7*t.
2*t*(t - 1)**2*(t + 1)/7
Factor 1/2*c**2 - 3/2*c + 1.
(c - 2)*(c - 1)/2
Let n = 47/161 - 1/161. Determine v, given that 0*v**2 + n*v**3 + 0 - 8/7*v**5 + 6/7*v**4 + 0*v = 0.
-1/4, 0, 1
Suppose -2/13*a**3 + 2/13*a + 2/13*a**4 + 0 - 2/13*a**2 = 0. Calculate a.
-1, 0, 1
Suppose d + 17 = -3*j, 8*j - 4*d = 4*j + 4. Let i(o) = -5 + 2*o**2 - 4*o + 1 + 2. Let n(t) = 2*t**2 - 3*t - 2. Let a(y) = j*n(y) + 3*i(y). Factor a(l).
-2*(l - 1)*(l + 1)
Suppose 2*w - 4*c = -3*c - 2, -3*w - 3*c = -15. Let i be (2 - 0) + w + 2. Solve 0*j**5 - j**4 - j**4 + 2*j**i = 0.
0, 1
Let c = 19 + -16. What is v in -27/2*v**2 - 6*v**c - 9*v - 3/2 = 0?
-1, -1/4
Let y(n) be the first derivative of 3/5*n**2 - 2 + 4/5*n + 2/15*n**3. Factor y(g).
2*(g + 1)*(g + 2)/5
Let q(x) be the third derivative of -x**7/150 - x**6/50 - x**5/100 + x**4/60 + 3*x**2. Find i, given that q(i) = 0.
-1, 0, 2/7
Let l = 23 + -23. Let g(f) be the second derivative of -2*f + l + 6/25*f**5 - 1/60*f**4 - 1/10*f**2 - 8/75*f**6 - 1/5*f**3. Suppose g(o) = 0. What is o?
-1/4, 1
Factor -24 + 12*u + 3*u**2 + 12*u - 18*u.
3*(u - 2)*(u + 4)
Let y(j) be the first derivative of -3*j**3/4 - 21*j**2/8 - 3*j/2 - 9. Let y(n) = 0. Calculate n.
-2, -1/3
Let o(x) = -216*x**3 - 351*x**2 - 87*x + 81. Let y(r) = 27*r**3 + 44*r**2 + 11*r - 10. Let k(f) = 4*o(f) + 33*y(f). Factor k(q).
3*(q + 1)**2*(9*q - 2)
Solve -4/5 + 2/5*c + 2/5*c**2 = 0.
-2, 1
Let h(l) be the first derivative of -l**3/6 - l**2/2 - l/2 - 11. Factor h(g).
-(g + 1)**2/2
Let y(k) be the first derivative of 6 + 3/2*k**3 - 9/16*k**4 + 9/8*k - 15/8*k**2 + 3/40*k**5. Solve y(t) = 0 for t.
1, 3
Let t be -1 + 13/26 + (-25)/(-42). Let q(r) be the first derivative of -1 + 1/7*r**2 + t*r**3 + 0*r. Suppose q(j) = 0. Calculate j.
-1, 0
Let u(f) be the first derivative of -f**9/12096 + f**7/3360 - f**3 - 2. Let w(x) be the third derivative of u(x). Factor w(o).
-o**3*(o - 1)*(o + 1)/4
Let u(j) be the second derivative of j**8/30240 - j**6/3240 + j**4/6 + j. Let d(a) be the third derivative of u(a). Factor d(c).
2*c*(c - 1)*(c + 1)/9
Let a(n) = 18*n**2 + n - 2. Let m(l) = 107*l**2 + 6*l - 12. Let y(z) = -34*a(z) + 6*m(z). Factor y(u).
2*(3*u - 1)*(5*u + 2)
Let s = 47 - 45. Let q(m) be the first derivative of -7/9*m**2 + s - 10/27*m**3 - 4/9*m. Factor q(z).
-2*(z + 1)*(5*z + 2)/9
Let f(u) be the second derivative of -u**7/189 - u**6/45 - u**5/90 + u**4/18 + 2*u**3/27 + 3*u. Determine h, given that f(h) = 0.
-2, -1, 0, 1
Let g(c) be the third derivative of -c**5/12 - 23*c**2. Determine h, given that g(h) = 0.
0
Let v be (6/5)/(1