 = 0.
-2, -1, 0, 2
Let i = -18809/5 - -3763. Let r be 2/7 - (-8)/70. Factor i*k**2 + 2/5*k - 6/5 - r*k**3.
-2*(k - 3)*(k - 1)*(k + 1)/5
Let m be (-256)/(-18) - 2/9. Suppose 17 + 25 = m*c. Find u such that -1/2*u**2 - u**c + 3*u + 9/4 + 1/4*u**4 = 0.
-1, 3
Let t be 2*-1*(-3)/2. Let v be (t/16)/((-3)/(-6)). Solve -9/8*x**2 - v*x**3 - 3/8 - 9/8*x = 0 for x.
-1
Let b(w) be the third derivative of -w**7/630 + w**6/90 - w**5/36 + w**4/36 + 119*w**2 + 1. Find v, given that b(v) = 0.
0, 1, 2
Let z(p) be the second derivative of p**4/78 + 31*p**3/39 - 9*p - 12. Factor z(o).
2*o*(o + 31)/13
Let r(y) = y**2 - 14*y + 75. Let h be r(9). Let 5/2*z**4 - 5*z**2 - 15/2*z**3 + h*z - 20 = 0. Calculate z.
-2, 1, 2
Let j(c) be the first derivative of -c**5/12 - 7*c**4/24 - c**3/3 + 13*c**2/2 + 2. Let u(n) be the second derivative of j(n). Factor u(p).
-(p + 1)*(5*p + 2)
Let l(t) = 232*t**2 + 288*t + 36. Let i = 1 - 21. Let f(a) = 33*a**2 + 41*a + 5. Let c(m) = i*f(m) + 3*l(m). Suppose c(x) = 0. What is x?
-1, -2/9
Let q(i) be the third derivative of -5/24*i**4 - 1/840*i**6 - 7*i**2 + 4 - 25/42*i**3 - 11/420*i**5 + 0*i. Factor q(u).
-(u + 1)*(u + 5)**2/7
Let j(o) be the first derivative of -o**4/4 + 4*o**3 + o**2/2 + 6*o + 4. Let t be j(12). Solve 18*s**3 + 0 - 10*s**2 - 1 + 2 + 14*s**4 - t*s - 5 = 0.
-1, -2/7, 1
Suppose c + 2*k - 2 = 0, 5*c + 3*k - 10 = -2*k. Suppose -4*n = 16, -2*q + c*n = 3*n. Factor -13*i**2 - 3 + 4*i**q - 363*i**3 - 9*i + 360*i**3.
-3*(i + 1)**3
Find c, given that -352/5*c**3 + 348/5 - 344/5*c**2 - 4/5*c**4 + 352/5*c = 0.
-87, -1, 1
Let d = -101 + 105. Let c(j) be the second derivative of -1/48*j**d + 0 - 1/4*j**2 + j + 1/8*j**3. Suppose c(u) = 0. What is u?
1, 2
Let s be 5 + ((-4)/5)/((-4)/(-10)). Let o be s/(270/24)*1. Solve 2/5*l**2 - 2/15*l**4 + 2/3*l + o - 2/15*l**3 = 0.
-1, 2
Let m be (-10)/(-12) + ((-134)/(-12) - 10). Determine n so that 1/8 + 1/4*n + 1/8*n**m = 0.
-1
Determine n so that -1/5*n**3 + 32*n**2 + 0 - 1280*n = 0.
0, 80
Let a be 1*5*16/16. Suppose 5*w + 0*w = 20. Solve -8 + 6*d**2 - 4*d + 3*d + d**w + a*d**3 - 3*d = 0 for d.
-2, 1
Determine u, given that -1/5*u**2 - 428/5*u - 45796/5 = 0.
-214
Let l(i) be the third derivative of i**8/168 + 53*i**7/105 + 169*i**6/10 + 4112*i**5/15 + 6272*i**4/3 + 8192*i**3 - 13*i**2 - 8. Find z such that l(z) = 0.
-16, -3, -2
Let k(o) be the first derivative of -o**4/18 + 4*o**3/3 - 12*o**2 - 36*o + 4. Let b(h) be the first derivative of k(h). Factor b(q).
-2*(q - 6)**2/3
Let f(r) be the second derivative of -127/5*r**5 - 118/15*r**6 + 0 - 122/3*r**4 - 16*r**2 - 104/3*r**3 - 20/21*r**7 - 5*r. Suppose f(v) = 0. What is v?
-2, -1, -1/2, -2/5
Let i(l) be the first derivative of l**6/33 + 14*l**5/55 + 5*l**4/11 - 12*l**3/11 - 27*l**2/11 + 54*l/11 + 109. Factor i(d).
2*(d - 1)**2*(d + 3)**3/11
Let y(w) be the second derivative of -w**5/20 - w**4/4 - w**3/2 - w**2/2 - 10*w - 12. Find i, given that y(i) = 0.
-1
Suppose 2*m = 12*m - 40. Let k(h) be the third derivative of 1/140*h**5 + 0*h**m + 0*h + 0 - 3*h**2 + 0*h**3. Factor k(u).
3*u**2/7
Let f(m) be the second derivative of -m**6/10 - m**5/4 + m**4/12 + 5*m**3/6 + m**2 + m - 15. Factor f(n).
-(n - 1)*(n + 1)**2*(3*n + 2)
Suppose -5*r + 10 = -0. Let j be 20/(2 + r) - 3. Factor -17*p**4 + p**2 - 2 + 3*p**j + 15*p**4.
-2*(p - 1)**2*(p + 1)**2
Let n(b) be the third derivative of 0*b**4 + 0*b**3 + 0*b**5 + 2*b**2 + 0 + 0*b + 1/160*b**6. Factor n(r).
3*r**3/4
Suppose 0 + 7 = 4*u + 5*j, 2*j + 5 = u. Let -6*k - 4*k**u + 5*k + 5*k = 0. Calculate k.
-1, 0, 1
Let r(x) be the first derivative of 3*x**4/8 - 15*x**3/2 + 36*x**2 + 96*x - 83. Find a such that r(a) = 0.
-1, 8
Let l(h) be the third derivative of 1/108*h**5 - 1/1080*h**6 - 1/54*h**4 + 0*h**3 + 0*h + 0 + 19*h**2. Let l(b) = 0. Calculate b.
0, 1, 4
Suppose 11*f = 5*f + 24. Suppose -3*s = -5*d + 45, -5*d + f*s = -d - 44. Suppose 2*b + 2*b + 16*b**2 + d*b + 2*b + 4*b**3 = 0. What is b?
-3, -1, 0
Let w(r) = -r**2 + 2*r - 1. Let f(d) = d**3 + d. Let v(u) = -f(u) + w(u). Let h(n) = -3*n**3 - 15*n**2 + 12*n - 8. Let o(m) = 4*h(m) - 28*v(m). Factor o(a).
4*(a - 1)*(2*a - 1)**2
Suppose 3096 = s - 9*s. Let o = -7351/19 - s. What is r in -o*r**5 + 0 + 0*r**2 - 4/19*r**4 - 2/19*r**3 + 0*r = 0?
-1, 0
Let y(p) be the first derivative of 3*p**4/4 - 14*p**3/3 + 17*p**2/2 - 6*p - 54. Let y(x) = 0. What is x?
2/3, 1, 3
Suppose -21*y + 0*y + 31 = 10*y. Factor -1/2*s**4 - 1/2*s**2 + 3/2*s**3 + y - 3/2*s.
-(s - 2)*(s - 1)**2*(s + 1)/2
Let 8/13 + 2/13*v**3 + 16/13*v + 10/13*v**2 = 0. Calculate v.
-2, -1
Let h(n) be the third derivative of 17*n**2 - 3/14*n**7 - n**6 + 0*n**3 - 5/12*n**4 + 0*n + 0 - 13/12*n**5. Factor h(z).
-5*z*(z + 2)*(3*z + 1)**2
Let y(p) be the second derivative of -1/4*p**2 + 1/24*p**4 + 0 - 1/40*p**5 + 1/12*p**3 - 18*p. Factor y(g).
-(g - 1)**2*(g + 1)/2
Determine f, given that -4/7*f**3 - 48/7 + 24/7*f**2 - 20/7*f = 0.
-1, 3, 4
Suppose 0 = 10797*l - 10851*l + 162. Solve -2/3 - 4/3*v**2 - 5/3*v - 1/3*v**l = 0 for v.
-2, -1
Let h(b) be the third derivative of -b**8/3360 + 19*b**7/2100 - 7*b**6/240 + 17*b**5/600 + b**2 + 111*b. What is j in h(j) = 0?
0, 1, 17
Suppose -14 = -5*i + 1. Let f(x) = 2*x**5 + 6*x**4 + x**2 - 3*x - 3. Let t(g) = -g**5 - 5*g**4 + g**3 - g**2 + 2*g + 2. Let c(k) = i*t(k) + 2*f(k). Factor c(p).
p**2*(p - 1)**3
Suppose 8 - 2 = 2*n. Factor n*m**2 + 27*m**2 + 19*m**3 + 5 + 20*m - m**3 + 5*m**4 + 2*m**3.
5*(m + 1)**4
Let 3 + 2*f**2 - 7 + 7 - 6*f + 1 = 0. What is f?
1, 2
Let d = 577 - 577. Let i(f) be the third derivative of 0 - f**2 + d*f**4 + 1/1848*f**8 - 1/385*f**7 + 0*f**3 + 0*f + 1/220*f**6 - 1/330*f**5. Factor i(h).
2*h**2*(h - 1)**3/11
Let g(n) be the second derivative of 9*n**7/70 - 54*n**6/25 + 69*n**5/25 + 43*n**4/10 - 101*n**3/10 + 33*n**2/5 + 98*n. Let g(u) = 0. What is u?
-1, 1/3, 2/3, 1, 11
Let x(r) = r**2 - 11*r - 9. Let z be x(12). Suppose 4*l + z*l = 14. Solve -3/7*d**l - 9/7*d + 0 = 0 for d.
-3, 0
Find v such that 2*v + 0 + 2/3*v**3 + 8/3*v**2 = 0.
-3, -1, 0
Suppose -4*g = -5*g + 57. Let r = 401/7 - g. Factor -r - 8/7*t**2 - 10/7*t.
-2*(t + 1)*(4*t + 1)/7
Suppose -6*x + 10 + 20 = 0. Factor -1/7*f**3 + 0 + 1/7*f**2 + 0*f - 1/7*f**4 + 1/7*f**x.
f**2*(f - 1)**2*(f + 1)/7
Let d(o) be the first derivative of o**4/12 - 16*o**3/9 - 35*o**2/6 - 6*o - 380. Find c such that d(c) = 0.
-1, 18
Let n(w) be the third derivative of -4/39*w**3 + 0*w + 0 - 1/390*w**5 + 10*w**2 - 5/156*w**4. Suppose n(t) = 0. What is t?
-4, -1
Suppose 3*k - 5*j = 30, -2*j - 2*j - 2 = 2*k. Suppose 0 = 2*u - k*c - 14, 0 = -u - u - 5*c - 6. Find n, given that 31 + 4*n**u - 31 - 4*n = 0.
0, 1
Suppose -3*u + 0*i + 2*i = -6, 5*u + 3*i = -9. Let f be -3 - u - ((-19)/(-7) - 6). Determine r so that 2/7 + 4/7*r + f*r**2 = 0.
-1
Let q(m) be the second derivative of m**5/110 - m**4/3 + 41*m**3/33 - 20*m**2/11 + 2*m - 63. Factor q(i).
2*(i - 20)*(i - 1)**2/11
Let f(y) be the third derivative of 0*y**3 - 3/70*y**7 - 3/40*y**6 + 0*y + 0*y**4 - 1/20*y**5 + 0 + 13*y**2 - 1/112*y**8. Factor f(i).
-3*i**2*(i + 1)**3
Let q(o) be the first derivative of o**8/6720 - o**7/1120 + o**6/480 - o**5/480 - 8*o**3/3 - 4. Let r(u) be the third derivative of q(u). Factor r(g).
g*(g - 1)**3/4
Let o(d) be the second derivative of -d**5/10 + d**4/3 + 7*d**3/3 + 4*d**2 - 2*d + 46. Factor o(n).
-2*(n - 4)*(n + 1)**2
Let v = 34 + -34. Suppose -2*c - c + 6 = v. Factor -4*i**3 + 19*i**4 - 2*i**5 + 2 + 28*i**4 + 6*i - 53*i**4 + 4*i**c.
-2*(i - 1)*(i + 1)**4
Suppose p + 23 = 3*q + 9, -3*p = -3*q + 12. Suppose 0 = -q*y + j + 10 - 11, 0 = 4*y - 5*j + 5. Factor 2/9*t + 2/9*t**3 - 4/9*t**2 + y.
2*t*(t - 1)**2/9
Let j = 2/21917 - 13040627/131502. Let m = -99 - j. Solve 0*x + 1/6*x**2 - m = 0.
-1, 1
Let b(i) = 4*i**4 - i**3 - 35*i**2 + 27*i. Let l(p) = -p**3 + p**2 - p. Let m(r) = b(r) - 5*l(r). Find a such that m(a) = 0.
-4, 0, 1, 2
Let h(b) = 5*b**2 - 9*b - 9. Let k(o) = -o**2 + 2*o + 2. Suppose s - 5*s + 56 = -4*u, 2*u - 8 = -2*s. Let f(j) = s*k(j) + 2*h(j). Factor f(z).
z**2
Let u(p) be the second derivative of p**8/168 + p**7/168 - p**6/36 - p**5/24 - 4*p**3/3 - 12*p. Let v(a) be the second derivative of u(a). Solve v(w) = 0 for w.
-1, -1/2, 0, 1
Let i(n) be the third derivative of n**8/33600 + n**7/1680 + n**5/20 + 23*n**2. Let s(d) be th