/2, 1, 5
Suppose 3*d - 22 = -4. Let q be 9/6 + d/4. Let 3*h - 2 - 5*h**4 + 11*h**4 + 3*h**5 + 8 - 12*h**2 - 6*h**q = 0. What is h?
-2, -1, 1
Let y(d) be the first derivative of d**6/6 + d**5/20 - 7*d**4/4 - 31*d**3/12 - 3*d**2/4 - 130. Determine v so that y(v) = 0.
-2, -1, -1/4, 0, 3
Suppose n = 6*n + 6*n - 4*n. Find j such that 0 + 4/7*j**5 + 0*j + 0*j**2 + n*j**3 - 4/7*j**4 = 0.
0, 1
Let j = 231177/6044 + 3/3022. Let c = 39 - j. Factor -1/8*l**2 - c*l - 9/8.
-(l + 3)**2/8
Let n = 43 + 8. Let o be 57/30 - (n/15 - 3). Determine k, given that 3/2*k**3 + 1/2*k**4 - o*k + 1/2*k**2 - 1 = 0.
-2, -1, 1
Let u = -5 + 12. Factor -10*a - u*a - 1 - a**2 + 0 + 19*a.
-(a - 1)**2
Suppose -3*g - 49 = -b, 3*g + b - 45 = -104. Let x = 23 + g. Determine a, given that -10/3*a**3 - 5/3 + 5/3*a + 5/3*a**x + 10/3*a**2 - 5/3*a**4 = 0.
-1, 1
Factor 1/9*c**3 + 5/9*c**2 + 4/9 + 8/9*c.
(c + 1)*(c + 2)**2/9
Let l = 144 - 124. Suppose 4*z - 16 = 4*s, -5*z - 4*s = s + l. Let -2/3*n + 2/3*n**2 + z = 0. What is n?
0, 1
Suppose -20*i - 28 = -27*i. Let r(b) be the second derivative of -4*b - 8/9*b**3 + 0 - 1/30*b**5 - 4/3*b**2 - 5/18*b**i. Suppose r(o) = 0. Calculate o.
-2, -1
Let k(d) = 4*d**2 - 3*d + 2. Let l(a) = 9*a**2 - 7*a + 5. Let y = -17 + 10. Let c(u) = y*k(u) + 3*l(u). Factor c(j).
-(j - 1)*(j + 1)
Let d = 1837/6 + -306. Let v(y) be the third derivative of -11/96*y**4 + d*y**3 - 7*y**2 + 7/240*y**5 + 0 + 0*y. Factor v(z).
(z - 1)*(7*z - 4)/4
Let w = 5743/2 + -2858. Let f(h) be the first derivative of 3/5*h**5 + 0*h + 15*h**3 + 13 - 21/4*h**4 - w*h**2. Factor f(k).
3*k*(k - 3)**2*(k - 1)
Factor 144/7*k**2 - 150/7*k + 8/7*k**3 + 38/7.
2*(k + 19)*(2*k - 1)**2/7
Let t = 12697/20 + -2537/4. Factor -t*d**3 + 0 + 1/5*d**5 + 2/5*d**2 + 0*d + 0*d**4.
d**2*(d - 1)**2*(d + 2)/5
Let t(y) be the second derivative of y**6/180 + 7*y**5/120 + 13*y**4/72 - y**3/12 - 3*y**2/2 - 133*y - 3. Determine n so that t(n) = 0.
-3, -2, 1
Let u = 1213/6 - 202. Let j(s) be the third derivative of -1/12*s**4 + 0 + 0*s - 1/60*s**5 - u*s**3 + 4*s**2. Factor j(w).
-(w + 1)**2
Let c(d) be the third derivative of 0*d - 1/60*d**5 + 1/80*d**6 + 11*d**2 + 0*d**3 + 0*d**4 + 0 - 1/420*d**7. Factor c(h).
-h**2*(h - 2)*(h - 1)/2
Let a(j) be the first derivative of j**4 + 20*j**3/3 - 44*j**2 + 64*j - 87. Suppose a(f) = 0. Calculate f.
-8, 1, 2
Let b(u) be the first derivative of 3/7*u - 39 - 3/7*u**2 + 1/7*u**3. Factor b(f).
3*(f - 1)**2/7
Let g(k) be the first derivative of 2*k**5/25 + 9*k**4/10 - 14*k**3/5 + 11*k**2/5 - 78. Factor g(j).
2*j*(j - 1)**2*(j + 11)/5
Suppose 0 = -h + 4, -14 = -0*i - 2*i - 2*h. Find m such that 32/7*m - 20/7*m**i - 4*m**2 + 16/7 = 0.
-2, -2/5, 1
Suppose -4*w = 32 - 56. Factor -8*k**3 - 4 - 4 + w*k**2 + 6*k**3.
-2*(k - 2)**2*(k + 1)
Let h(j) = 87*j - 78. Let d(z) = -z**2 - 3*z + 1. Let n(q) = -3*d(q) - h(q). Suppose n(r) = 0. Calculate r.
1, 25
Let k(h) = -4*h - 62. Let b be k(-25). Let z = b - 186/5. Factor 4/5*x**4 + 0*x - 4/5*x**2 + 0 + 4/5*x**5 - z*x**3.
4*x**2*(x - 1)*(x + 1)**2/5
Let l = -311/60 + 16/3. Let t(g) be the second derivative of 0*g**3 + 0 + 0*g**2 - 1/4*g**4 + l*g**5 - 3*g. Solve t(n) = 0.
0, 1
Let -125/3*t + 90 - 5/3*t**2 = 0. What is t?
-27, 2
Factor 9/4*t - 2 - 1/4*t**2.
-(t - 8)*(t - 1)/4
Suppose 0*u - 4/3*u**2 + 10/3*u**3 + 2*u**4 + 0 = 0. What is u?
-2, 0, 1/3
Let h(u) be the second derivative of u**4/66 + 131*u. Find l, given that h(l) = 0.
0
Let v(l) = l**2 + 8*l + 2. Let b be v(-8). Determine k so that -2*k**3 - k - k + 13*k**3 - 5*k**b - 8*k**3 = 0.
-1/3, 0, 2
Factor -8/7*r**2 - 4/7 + 18/7*r.
-2*(r - 2)*(4*r - 1)/7
Let f(h) = 4*h**2 - 8*h - 3. Let k be 1 + 4/2 + 0. Let v(i) = 3*i**2 - 7*i - 4. Let p(c) = k*v(c) - 2*f(c). Suppose p(x) = 0. What is x?
-1, 6
Suppose 2 + 3 = -k. Let h be 26 + -23 + k/2. Factor -1 + 1/2*b**2 + h*b.
(b - 1)*(b + 2)/2
Let z = -17769/2 + 8897. Find j, given that -5/2*j**3 - 20*j - 10 - z*j**2 = 0.
-2, -1
Let t be 33/(-44) - (-143)/116. Let f = t - -1/58. Factor 1/2 + 0*d - f*d**2.
-(d - 1)*(d + 1)/2
Suppose 0 = -6*s + 83 - 23. Let f be 18/10 + (-18)/s + 2. Solve -1/2*g**f + 1/2*g + 0 = 0 for g.
0, 1
Solve 0*c + 0 - 7/3*c**2 - 5/3*c**5 - 43/3*c**3 - 41/3*c**4 = 0.
-7, -1, -1/5, 0
Solve 45 - 33/2*o + 1/2*o**2 = 0 for o.
3, 30
Suppose -171 = -j + 91. What is g in -28*g + 2*g**2 - 270 + j - 22*g**2 = 0?
-1, -2/5
Suppose -3*o - 2 = -o, 0 = 3*s - 5*o - 17. Suppose 0 = -n + s - 2. Factor 2*y**n - 3 - y + 5 - 3*y.
2*(y - 1)**2
Factor 4/3*t**3 - 16/3*t**4 + 8/3*t**2 + 0 - t.
-t*(2*t - 1)**2*(4*t + 3)/3
Solve -2700/7 + 180/7*a - 3/7*a**2 = 0.
30
Let u be (-3)/(-6)*2*6. Suppose -3*n = -0 - u. Solve 0*s**2 + 4*s - 5*s - 5*s + n*s**2 + 4 = 0 for s.
1, 2
Let x(z) = z**4 - 2*z**3 + 2. Let t(r) = -r**4 + 12*r**3 + 2. Let l(d) = -t(d) + x(d). Let l(w) = 0. Calculate w.
0, 7
Let o(d) be the third derivative of d**8/2856 + 2*d**7/1785 - d**6/68 + 2*d**5/255 + 5*d**4/51 - 47*d**2 - 2. Suppose o(b) = 0. What is b?
-5, -1, 0, 2
Let l(p) = p**2 - 4*p. Let t(b) = b**2 - 4*b. Suppose -3*v - 37 = 4*m + 15, 71 = -4*v - 5*m. Let g = 28 + v. Let a(j) = g*t(j) - 3*l(j). Factor a(r).
r*(r - 4)
Let o(l) be the third derivative of -3*l**7/140 + l**6/32 - l**5/80 + 133*l**2. Factor o(r).
-3*r**2*(2*r - 1)*(3*r - 1)/4
Let c(m) = -m**3 + 5*m**2 - 3*m - 3. Let r be c(3). Suppose 28 = 5*w + 8. What is b in -w*b + 2*b**2 + 1 + r*b + 4*b + 3 = 0?
-2, -1
Suppose 1 = 5*r + 1. Let q be 5/(-7) + (-2 - (r + -3)). Suppose -4/7*z + 2/7*z**3 + q*z**2 + 0 = 0. Calculate z.
-2, 0, 1
Let g be (6/(-9))/2 - (-14)/6. Suppose -g*h**3 + 31*h - 3*h**3 - 26*h = 0. Calculate h.
-1, 0, 1
Let b(c) be the third derivative of 4*c**2 + 2/135*c**5 + 0 + 0*c - 1/540*c**6 + 0*c**3 - 1/27*c**4. Solve b(k) = 0.
0, 2
Suppose -44 = 589*o - 600*o. Suppose 0*g + g**o + 1/2*g**5 - 1/2*g**3 - g**2 + 0 = 0. Calculate g.
-2, -1, 0, 1
Let -2*t + 5/2*t**2 - 1/2*t**3 + 0 = 0. Calculate t.
0, 1, 4
Suppose 8 = 18*q - 28. Let o be 6/3*(2 + (-10)/6). Suppose 0 + o*g + 2/3*g**q = 0. Calculate g.
-1, 0
Solve -5*r**3 - 1087*r - 5 + 1062*r + 15 + 20*r**2 = 0 for r.
1, 2
Factor 136/5 - 8*r**2 + 2/5*r**3 + 94/5*r.
2*(r - 17)*(r - 4)*(r + 1)/5
Suppose 1282 = -9*w + 1300. Find h, given that -2/7*h**w - 50/7 + 20/7*h = 0.
5
Let d(i) be the third derivative of -1/5*i**5 - 1/2*i**4 - 1/30*i**6 + 0 - 2/3*i**3 + 0*i + 24*i**2. Suppose d(l) = 0. What is l?
-1
Let t(a) be the second derivative of 0*a**2 - 34*a + 1/12*a**5 + 1/30*a**6 + 0 - 1/126*a**7 - 2/9*a**3 - 1/12*a**4. Suppose t(u) = 0. Calculate u.
-1, 0, 1, 4
Let a = 20/733 + 64957/10262. Let k = a - 34/7. Find l, given that -1/2*l**3 + k + 1/2*l**2 + 5/2*l = 0.
-1, 3
Let z(n) be the first derivative of n**3 + 3*n**2 - 37. Factor z(k).
3*k*(k + 2)
Let p(m) = m**2 - 17*m. Let z(w) = -w**2 + 15*w - 2. Let y(c) = 3*p(c) + 4*z(c). Factor y(a).
-(a - 8)*(a - 1)
Let b(u) be the third derivative of u**5/240 + 23*u**4/24 + 529*u**3/6 - 70*u**2. Factor b(r).
(r + 46)**2/4
Let y(x) be the second derivative of -x**7/21 + 101*x**6/135 - 409*x**5/90 + 707*x**4/54 - 154*x**3/9 + 8*x**2 + 60*x. Find a such that y(a) = 0.
2/9, 1, 3, 4
Let y(o) be the third derivative of -11*o**6/10 + 101*o**5/15 - 12*o**4 + 8*o**3/3 + o**2 + 338. Find k, given that y(k) = 0.
2/33, 1, 2
Let l(t) be the third derivative of -2*t**7/105 - 31*t**6/15 - 64*t**5 + 31*t**4/3 + 1922*t**3/3 + 97*t**2. Factor l(u).
-4*(u - 1)*(u + 1)*(u + 31)**2
Let d = 1202 - 1199. Factor 0 + 9/8*s**4 + 0*s + 3/8*s**5 + 9/8*s**d + 3/8*s**2.
3*s**2*(s + 1)**3/8
Let d(x) = -2*x**2 + 7*x + 5 - 13 - x**3 + 6*x**2. Let w be d(5). Suppose -8*y + 20 - 16 + 6*y**w + 4*y**3 - 12 - 2*y**4 = 0. Calculate y.
-1, 2
Let d = -2854 - -14318/5. Let d*k + 64/5 + 1/5*k**3 + 12/5*k**2 = 0. What is k?
-4
Let i(m) be the second derivative of -2*m**6/15 - 38*m**5/25 - 49*m**4/15 - 8*m**3/15 + 24*m**2/5 - m + 3. Suppose i(b) = 0. Calculate b.
-6, -1, 2/5
Let k(h) be the third derivative of h**8/84 + 34*h**7/105 + 47*h**6/15 + 38*h**5/3 + 161*h**4/6 + 98*h**3/3 + 2*h**2 + 22*h. Let k(g) = 0. Calculate g.
-7, -1
Let z(n) be the third derivative of -n**6/12 + 227*n**5/15 - 451*n**4/15 + 24*n**3 - 153*n**2 - n. Factor z(i).
-2*(i - 90)*(5*i - 2)**2/5
Let j be 4/68 + 134/34. What is g in -12/7*g**2 + 0 - 16/7*g**3 + 12/7*g**j - 2/7*g**5 + 18/7*g = 0?
