 be (-1 + -1)/2 - -4 - -12. Factor 19 + 14 - u**2 - 53 + 6*u**2 + w*u.
5*(u - 1)*(u + 4)
Suppose 3*m + 48 = 4*b, 3*m - 5 = b - 2*m. Suppose 3*v - b = -2*v. Suppose 3*a**2 + a + a - 17*a**3 + 18*a**v = 0. Calculate a.
-2, -1, 0
Let h(u) be the third derivative of -u**8/120960 + u**6/4320 + u**5/6 - 9*u**2. Let g(j) be the third derivative of h(j). Factor g(b).
-(b - 1)*(b + 1)/6
Factor -33*l**2 - 53*l**2 + 62*l - 8*l**3 + 16*l**3 + 26*l**2 - 10*l**3.
-2*l*(l - 1)*(l + 31)
Factor -4*c**3 + 4 - 38/3*c + 40/3*c**2 + 2/3*c**5 - 4/3*c**4.
2*(c - 2)*(c - 1)**3*(c + 3)/3
Let c(x) be the second derivative of x**4/12 - 3*x**3/2 - 5*x**2 - 77*x. Factor c(l).
(l - 10)*(l + 1)
Let n(p) be the third derivative of 0*p - 49/900*p**6 + 0 - 4/15*p**3 - 7*p**2 - 7/18*p**5 - 22/45*p**4. What is v in n(v) = 0?
-3, -2/7
Let u(c) = c**3 + 11*c**2 - 12*c + 18. Let a be u(-12). Factor -a + 5*v**2 + 13*v - 33*v - 2 + 5*v**3.
5*(v - 2)*(v + 1)*(v + 2)
Let l(s) be the first derivative of 0*s - 19 + 4/5*s**5 - 8*s**3 + 11/2*s**4 - 1/3*s**6 - 36*s**2. Find o such that l(o) = 0.
-2, 0, 3
Let n(f) be the first derivative of -f**4/26 + 2*f**3/39 + 2*f**2/13 - 58. Factor n(z).
-2*z*(z - 2)*(z + 1)/13
Let g(r) be the first derivative of -9 + 8/3*r**3 + 3/4*r**4 + 0*r + 1/15*r**5 + 8/3*r**2. Let g(b) = 0. Calculate b.
-4, -1, 0
Let v(i) be the first derivative of i**3/18 + 10*i**2/3 + 200*i/3 - 101. Solve v(r) = 0.
-20
Let a(w) be the first derivative of w**6/3 + 6*w**5/5 + w**4 - 4*w**3/3 - 3*w**2 - 2*w - 33. What is g in a(g) = 0?
-1, 1
Suppose 2*c = c + q - 1, -4*c = -2*q - 2. Factor 2*i**3 + 6 - 2*i**2 + c + 3*i - 6*i - 5*i.
2*(i - 2)*(i - 1)*(i + 2)
Suppose 3*y - y = -2*n - 32, -y = 5*n + 84. Let v(a) = -a**3 - 18*a**2 - 17*a + 3. Let l be v(n). What is p in -20/7*p**2 + 8/7*p + 8/7*p**l + 0 = 0?
0, 1/2, 2
Let f(c) be the second derivative of c**4 + c**3/3 - c**2 - 3*c - 13. Factor f(m).
2*(2*m + 1)*(3*m - 1)
Find c, given that 125*c**2 + 5/4 - 25*c = 0.
1/10
Let q(i) = 2*i**2 + 6*i + 16. Let t = 139 - 138. Let b(p) = -p**2 - 1. Let c(r) = t*q(r) + 12*b(r). Factor c(y).
-2*(y - 1)*(5*y + 2)
Let p(r) be the third derivative of 5*r**8/84 - r**7/5 - r**6/10 + 19*r**5/30 - r**4/2 - 15*r**2 - 2*r. Find j, given that p(j) = 0.
-1, 0, 1/2, 3/5, 2
Let v(w) be the second derivative of 0 + 1/70*w**5 + 0*w**4 + 13*w - 1/14*w**2 + 1/210*w**6 - 1/21*w**3. What is m in v(m) = 0?
-1, 1
Let k be 2*(-13 + -4)*(-1)/23. Let m = 558/253 - k. Determine t, given that -8/11*t**2 - m*t + 0 - 2/11*t**3 = 0.
-2, 0
Let o = 1859 + -13009/7. Suppose o*k**3 - 12/7*k + 0*k**2 - 8/7 = 0. What is k?
-1, 2
Suppose 10/3*h**5 - 46/3*h**4 + 10*h**3 - 40/3*h + 70/3*h**2 - 8 = 0. Calculate h.
-1, -2/5, 1, 2, 3
Let i = -190 - -184. Let s be ((-3)/(-6))/((i/3)/(-2)). Suppose -1/4*m**4 + 1/4 + 0*m**2 + s*m**3 - 1/2*m = 0. What is m?
-1, 1
Find w such that -10/3 - 4*w - 2/3*w**2 = 0.
-5, -1
Let p = 9049/3 - 3016. Let 0*t**3 + 0 - p*t**4 + 1/3*t**2 + 0*t = 0. Calculate t.
-1, 0, 1
Suppose -7*t = -11*t. Factor t*k**3 + k**5 - k**2 + 0*k**3 - k**3 + 2*k**2 - k**4.
k**2*(k - 1)**2*(k + 1)
Suppose -11*j + 18 + 15 = 0. Solve -3*o**2 - 23*o**3 - 12 - 12*o**2 - 23*o**j + 43*o**3 - 24*o = 0 for o.
-2, -1
Suppose -5*p = -9*p + 12. Factor -5*s + 10*s**3 - 2*s**5 + 3*s - 3*s**5 - p*s.
-5*s*(s - 1)**2*(s + 1)**2
Suppose -7*y + 158 = 39. Let q = y + -17. Factor 2/9*i**3 + 0*i**2 + 0*i + 2/9*i**4 + q.
2*i**3*(i + 1)/9
Let f(w) be the first derivative of 3*w**5/5 + 21*w**4/4 - 3*w**3 - 69*w**2/2 - 42*w + 241. Determine n so that f(n) = 0.
-7, -1, 2
Let f(a) be the third derivative of -a**8/25200 - a**7/1260 - a**6/225 - 11*a**5/20 + 19*a**2. Let v(k) be the third derivative of f(k). Factor v(m).
-4*(m + 1)*(m + 4)/5
Let s(v) = 6 - 7 - 8*v - 18*v**2 - 2*v - 5 - 24*v**3 - 16*v**4. Let o(j) = j**5 + j**4 + j**3 - j - 1. Let n(x) = -6*o(x) + s(x). What is c in n(c) = 0?
-1, -2/3, 0
Let a(s) be the third derivative of 0*s - 1/30*s**5 + 0*s**3 - 14*s**2 + 1/120*s**6 + 1/24*s**4 + 0. Factor a(w).
w*(w - 1)**2
Find n such that 74/7*n - 2/7*n**3 + 12/7*n**2 + 60/7 = 0.
-3, -1, 10
Factor 28*t**4 + t**5 + 28 + 3*t**2 - 59*t**2 - 2*t**3 + 3672*t - 3671*t.
(t - 1)**2*(t + 1)**2*(t + 28)
Suppose -22*d + 15 = -29. Factor -4/3*b**2 + d*b - 8/9 + 2/9*b**3.
2*(b - 4)*(b - 1)**2/9
Let j(q) be the third derivative of -q**7/840 - q**6/240 + q**5/30 + 3*q**4/16 + 3*q**3/8 - 2*q**2 + 204. Solve j(v) = 0 for v.
-3, -1, 3
Let h = 4181/15 - 1387/5. Solve -2*r + 2/3*r**3 + 0*r**2 + h = 0.
-2, 1
Let b(c) be the first derivative of -5/3*c**3 - 10*c - 6 + 15/2*c**2. Factor b(t).
-5*(t - 2)*(t - 1)
Suppose 8 = 2*n + 2*k, 0*k + 3*k = -5*n + 16. Suppose 1 = 3*g - 4*w - n, -4*w = -5*g + 13. Factor -3*q**2 - g*q + 5*q - 1 - q**3 - 3*q.
-(q + 1)**3
What is a in -3*a**2 + 1727*a + 33 - 225 - 1679*a = 0?
8
Suppose 2*i + 2*w - 3 = 7, -5*i = -w - 13. Factor 20*a**2 + 16*a**4 - 7*a**2 - 15*a**4 - 12*a - 7*a**3 + i*a**2.
a*(a - 3)*(a - 2)**2
Let o(l) be the third derivative of 0*l - 2/3*l**4 - 4/5*l**5 + 7/30*l**6 - 6*l**2 + 0 + 0*l**3. Factor o(p).
4*p*(p - 2)*(7*p + 2)
Let w(x) = x**2 - 18*x - 37. Let g be w(20). Solve -57*h + 22*h + 32*h + g*h**3 + 9*h**2 - 4 - 5 = 0 for h.
-3, -1, 1
Suppose 2 = k + 5*j, -9*k + 8 = -5*k + 5*j. Let z(u) be the first derivative of 0*u - 3 - 1/8*u**k - 7/24*u**3. Factor z(a).
-a*(7*a + 2)/8
Let r = 4770 - 14288/3. Factor -8/3*l**2 - r*l + 2.
-2*(l + 3)*(4*l - 1)/3
Let v be (-2)/6 - 3496/(-48)*4. Let z = v - 291. Factor -2/19*r**2 + z*r + 2/19.
-2*(r - 1)*(r + 1)/19
Solve -32/9 + 40/9*c - 16/9*c**2 + 2/9*c**3 = 0.
2, 4
Determine w so that -55*w - 9*w**4 - 2077*w**3 - 9*w**2 + 2101*w**3 + 49*w = 0.
-1/3, 0, 1, 2
Let u = 122 + -122. Let f(v) be the second derivative of u*v**2 + 1/15*v**3 - 1/150*v**6 + 0 + 1/60*v**4 - 5*v - 1/50*v**5. Factor f(d).
-d*(d - 1)*(d + 1)*(d + 2)/5
Suppose -7*g + 9*g = 6. Let 25 + 0*c**3 + 4*c**g - 30 - 67 + 84*c - 32*c**2 = 0. Calculate c.
2, 3
Let a(n) = -4*n**3 - 192*n**2 - 13071*n - 287499. Let y(j) = 5*j**3 + 190*j**2 + 13072*j + 287500. Let b(r) = -4*a(r) - 3*y(r). Factor b(h).
(h + 66)**3
Let z = 57 - 20. Factor 3*u**4 + 4*u**2 + 2*u**5 + 37 - 2*u - z - 7*u**4.
2*u*(u - 1)**3*(u + 1)
Let j(b) be the third derivative of 2*b**7/105 + 24*b**6/5 + 2592*b**5/5 + 31104*b**4 + 1119744*b**3 - b**2 + 193. Solve j(z) = 0 for z.
-36
Let -18*g**3 + 56*g**5 - 8*g**3 - 2247*g**4 + 2273*g**4 + 4*g**2 = 0. Calculate g.
-1, 0, 1/4, 2/7
Suppose 2*h + 3 = -0*h + 3*k, 0 = h + 3*k - 12. Suppose -6*c**h + 0*c**3 + 32*c - 128 + 24*c**2 + 0*c**3 - 4*c**3 + c**4 = 0. Calculate c.
-2, 4
Find i, given that -6*i - i**3 - 57 + 9*i**2 + 82 - 41 = 0.
-1, 2, 8
Suppose 2*q + 3 + 7 = 0, -4*q = -o - 1. Let y = -18 - o. Factor -p**2 - 2*p**4 - p + p**y + p**4 + 3*p**4 - p**4.
p*(p - 1)*(p + 1)**2
Factor 1/3*s**2 + 2 + 5/3*s.
(s + 2)*(s + 3)/3
Let v be (-3)/(-4) + (-5)/10. Let g be (-10)/(-100) + 4/10. Factor -1/2*k + v*k**4 - 1/4 + g*k**3 + 0*k**2.
(k - 1)*(k + 1)**3/4
Let y = 6 + 9. Let t(b) = b**2 + 1. Let v(f) = 75*f**4 + 60*f**3 + 27*f**2 + 15. Let u(s) = y*t(s) - v(s). Factor u(q).
-3*q**2*(5*q + 2)**2
Let g(o) = 143*o**3 + 231*o**2 + 98*o + 14. Let i(s) = 141*s**3 + 231*s**2 + 99*s + 15. Let y(m) = -3*g(m) + 2*i(m). Find l, given that y(l) = 0.
-1, -2/7
Let b(i) be the first derivative of -i**4/4 - i**3 - 28. Let b(y) = 0. What is y?
-3, 0
Suppose 2 = 5*o + 17. Let m = 41 + o. Factor 6*j**5 - m + 27*j**3 - 21*j**4 + 3*j + 38 - 15*j**2.
3*j*(j - 1)**3*(2*j - 1)
Let d(c) = c**3 - 7*c**2 - 10*c + 16. Let v be d(6). Let u = 84 + v. What is w in 1/4*w**5 + 0 + 1/2*w + 1/4*w**2 - 3/4*w**3 - 1/4*w**u = 0?
-1, 0, 1, 2
Let d be 14 + 1920/(-135) - (-4)/18. Factor d - 12/5*s**3 - 3/5*s + 3*s**2.
-3*s*(s - 1)*(4*s - 1)/5
Let s(t) be the third derivative of -t**7/294 + 19*t**6/280 - 12*t**5/35 - 9*t**4/14 + 25*t**2. Factor s(k).
-k*(k - 6)**2*(5*k + 3)/7
Let k(z) be the first derivative of 2*z**3/3 - 7*z**2 + 24*z + 131. Suppose k(q) = 0. What is q?
3, 4
Let s(u) = u**2 + 18*u + 47. Let t be s(-15). Suppose -n - o = 3*n + t, o = 5*n - 2. Let n*b - 4/9*b**4 + 0 + 4/9*b**2 + 2/9*b**3 - 2/9*b**5 = 0. What is b?
-2, -1, 0, 1
Suppose 0 = -4*w + 5*j + 38, 4*w - 5*j = 7*w + 24. Solve -29/2*a**w - 15/2*a - 1 - 5/2*a**4 - 21/2*a**3 = 0 for a.
-2, -1, -1/