
-1, 2/5, 1
Let j be 9/(-30)*(5 - 114/18). Solve -j*g**5 + 0 - 2/5*g**2 + 0*g + 2/5*g**4 + 2/5*g**3 = 0.
-1, 0, 1
Let q(m) = -m**2 - 7*m - 6. Let s be q(-5). Let f = s - 4. Suppose -1/2*l + 0*l**2 + l**3 - 1/2*l**5 + 0 + f*l**4 = 0. Calculate l.
-1, 0, 1
Factor -9/5*p**2 + 0 + 9/5*p**3 + 3/5*p - 3/5*p**4.
-3*p*(p - 1)**3/5
Let x(q) be the third derivative of -4*q**2 + 0*q**3 - 1/42*q**4 + 1/210*q**5 + 0*q + 0. Determine m, given that x(m) = 0.
0, 2
Suppose 2*n**2 - 5*n**2 - 5*n**2 - 8*n + 12 + 4*n**2 = 0. Calculate n.
-3, 1
Let q(t) be the second derivative of 0*t**2 - 1/21*t**7 - 2*t + 0 + 3/20*t**5 - 1/6*t**3 + 1/12*t**4 - 1/30*t**6. Let q(z) = 0. What is z?
-1, 0, 1/2, 1
Let d(o) = 8*o**2 - 45*o + 32. Let m(z) = -4*z**2 + 22*z - 16. Let l(b) = 2*d(b) + 5*m(b). Factor l(y).
-4*(y - 4)*(y - 1)
Let f(g) = g**2 - 5*g + 3. Let b(i) = -i**2 + 6*i + 5. Let y be b(6). Let r be f(y). Let -2/7 - 8/7*m - 8/7*m**r - 2/7*m**4 - 12/7*m**2 = 0. Calculate m.
-1
Find h, given that -12/5*h**3 + 0 - 4/5*h**4 + 0*h - 8/5*h**2 = 0.
-2, -1, 0
Let f = -23229/19 + 1223. Solve 2/19*j**2 + f*j + 8/19 = 0.
-2
Let i = 244 + -967/4. Let w = 173/164 - -8/41. Factor -i*t - 1/2 + 9/4*t**3 - w*t**2 + 7/4*t**4.
(t - 1)*(t + 1)**2*(7*t + 2)/4
Let t be 41/10 - (8 + -4). Let z(c) be the second derivative of 0 - 2*c**2 + 2*c + t*c**5 - 1/3*c**3 + 1/3*c**4. Factor z(g).
2*(g - 1)*(g + 1)*(g + 2)
Let f(b) be the third derivative of 0 + 0*b**3 + 0*b - 3*b**2 + 0*b**4 - 1/90*b**5. Solve f(x) = 0 for x.
0
Let y be (-24)/(-9) - 4/(-12). Let l = -1895/9 - -211. Let 0*b + 2/3*b**2 + l*b**y - 2/9 = 0. Calculate b.
-1, 1/2
Factor 1/2 + 1/2*a**3 - 1/2*a - 1/2*a**2.
(a - 1)**2*(a + 1)/2
Let v = -620/3 + 207. Let z(j) be the second derivative of -1/105*j**6 - 1/14*j**5 + 0 - 2/7*j**2 + 3*j - v*j**3 - 3/14*j**4. Factor z(o).
-2*(o + 1)**3*(o + 2)/7
Let n(d) be the third derivative of d**6/540 - d**5/270 - 26*d**2. Factor n(z).
2*z**2*(z - 1)/9
Let -4/3*p + 0 + 2/3*p**4 - 8/3*p**3 + 10/3*p**2 = 0. Calculate p.
0, 1, 2
Let o(k) be the first derivative of 5*k**4/4 + 5*k**3 - 20*k + 32. Let o(r) = 0. What is r?
-2, 1
Let s(z) be the first derivative of z**3 + 3*z**2 + 3. Let s(w) = 0. Calculate w.
-2, 0
Let q = 3/8 + 1/8. Let n be (-3)/2*(4 - 65/15). Factor n*p**5 + 0 - 3/2*p**4 - q*p**2 + 3/2*p**3 + 0*p.
p**2*(p - 1)**3/2
Let y(v) be the second derivative of -v**8/5880 + v**7/2940 + v**3/2 + v. Let d(o) be the second derivative of y(o). Factor d(k).
-2*k**3*(k - 1)/7
Let m = -147 - -150. Factor -3/5*a**4 - 12/5*a**m + 0*a - 12/5*a**2 + 0.
-3*a**2*(a + 2)**2/5
Let g(o) be the second derivative of 0 - 1/10*o**2 - 1/15*o**3 - 1/60*o**4 + o. Solve g(p) = 0 for p.
-1
Let u(k) = k**3 - 43*k**2 - 139*k + 5. Let a(s) = -2*s**3 + 64*s**2 + 208*s - 8. Let o(l) = 5*a(l) + 8*u(l). Solve o(g) = 0.
-6, 0
Let b(d) be the third derivative of d**7/1260 + d**6/360 + d**5/360 + 4*d**2. Find j such that b(j) = 0.
-1, 0
Let z(q) be the third derivative of q**8/672 + q**7/105 + q**6/60 - 5*q**2. Factor z(i).
i**3*(i + 2)**2/2
Suppose -2*s - 25 = -3*v, -4*v - 5*s + 37 = -4*s. Let d = v - 6. Factor 0*g**2 - 4/7*g**d - 2/7 + 4/7*g + 2/7*g**4.
2*(g - 1)**3*(g + 1)/7
Suppose -s - 3 + 5 = 0. Let 8/3*u**3 + 1/3*u**s + 0 + 0*u + 16/3*u**4 = 0. What is u?
-1/4, 0
Factor 2/5*l**3 - 1/5*l**4 + 1/5*l**2 + 0 - 2/5*l.
-l*(l - 2)*(l - 1)*(l + 1)/5
Let z(y) be the second derivative of -y**6/60 - y**5/8 - 3*y**4/8 - 7*y**3/12 - y**2/2 + 12*y. Factor z(p).
-(p + 1)**3*(p + 2)/2
Let s(j) = -j**2 + 4*j - 1. Let i be s(3). Suppose -2*m = m - 2*n - 8, 4*n = 3*m - 16. Factor i + m*w - 3 + 2*w - w**2.
-(w - 1)**2
Let i = 9 - 6. Factor 3*f - f**3 - 2*f**3 - 3 + i.
-3*f*(f - 1)*(f + 1)
Factor -2 + 4*t - 2*t**2 + 0 + 0 + 0.
-2*(t - 1)**2
Let m be (170/50)/((-2)/(-10)). Let l = m + -17. Suppose 0 + 7/2*u**3 + 9/2*u**5 + 1/2*u**2 + 15/2*u**4 + l*u = 0. Calculate u.
-1, -1/3, 0
Determine u, given that -5*u**2 - 797 - 328 + 46*u + 26*u + 78*u = 0.
15
Suppose 0 = -2*h + 13*h - 22. Let a(n) be the first derivative of -11/3*n**3 - 3/2*n**4 - 1 + 4*n + 2*n**h + 9/5*n**5. Solve a(z) = 0.
-2/3, 1
Suppose -1/3*l**4 + 0*l + 0 - l**3 + 4/3*l**2 = 0. Calculate l.
-4, 0, 1
Let w(d) be the first derivative of -1 + 0*d**2 + 2/9*d**3 + 0*d. Suppose w(h) = 0. Calculate h.
0
Let l(c) be the first derivative of 4*c**3/9 - 8*c**2/3 + 16*c/3 - 22. Determine r, given that l(r) = 0.
2
What is h in 9/5 - 6/5*h - 3/5*h**2 = 0?
-3, 1
Let s(q) be the second derivative of 0 + 1/50*q**5 + 0*q**2 + 1/15*q**3 + 1/15*q**4 + 3*q. Factor s(n).
2*n*(n + 1)**2/5
Suppose 3*p = p - 8. Let n be (12/(-15))/(p/10). Factor n*a**5 + 2*a**4 - 4*a**2 - 3*a - 4*a**3 + 2 - 3*a + 8*a.
2*(a - 1)**2*(a + 1)**3
Factor -8/15*u + 0 - 8/5*u**2 - 4/5*u**4 - 2/15*u**5 - 26/15*u**3.
-2*u*(u + 1)**2*(u + 2)**2/15
Let r = 79/85 + -9/17. Factor 4/5*m - r*m**2 - 2/5.
-2*(m - 1)**2/5
Let 26*g**2 - 28*g**2 - 4*g - 8*g = 0. Calculate g.
-6, 0
Suppose 4*a - 12 = -5*v, -4*a - 6 = -5*v - 18. Suppose -2*w = 5*q - 8, -5*q + 2*w - 3 = 5. Factor q*k + 1/3*k**2 + v.
k**2/3
What is w in -3*w + 3*w**4 - 8*w**5 + 3 + 6*w**3 + 5*w**5 - 6*w**2 + 0*w**5 = 0?
-1, 1
Suppose 2*r - 7 - 5 = 3*a, 2*r - 14 = 4*a. Determine m, given that 0 + 6/7*m**r + 2*m**5 + 24/7*m**4 - 4/7*m**2 + 0*m = 0.
-1, 0, 2/7
Let k = 13/5 - 133/55. Determine s so that 2/11*s**3 - 2/11*s + 0 - k*s**4 + 2/11*s**2 = 0.
-1, 0, 1
Let a be (30/55)/((-12)/(-33)). Factor -3/2*p**3 + a - 9/2*p + 9/2*p**2.
-3*(p - 1)**3/2
Let a be (-2 - -4)/(-3 - -18). Let j(v) be the first derivative of -2 + 0*v + a*v**5 + 0*v**4 + 0*v**2 - 2/9*v**3. Factor j(w).
2*w**2*(w - 1)*(w + 1)/3
Let g(s) = -5*s**2 - 4*s - 1. Let r(w) = 6*w**2 + 3*w. Let d(q) = -3*g(q) - 2*r(q). Determine i, given that d(i) = 0.
-1
Let l(x) = x + 1. Let o be l(-1). Suppose -u = -4*u + 12. Factor 2/5*m**u - 4/5*m**2 + o*m + 2/5 + 0*m**3.
2*(m - 1)**2*(m + 1)**2/5
Suppose 2*y = 5*h - y + 5, -3*h + 4*y = 3. Let b(d) = 1. Let z(v) = v**3 + v**2 - v + 5. Let p(l) = h*z(l) + 6*b(l). Factor p(u).
-(u - 1)*(u + 1)**2
Let n(w) be the first derivative of -7/18*w**3 + 11 + 0*w + 1/6*w**2. Find d, given that n(d) = 0.
0, 2/7
Let a be (-13)/(-52) - 38/(-8). Factor -4*y**3 - 2/3*y**a - 8/3*y**4 - 2/3*y - 8/3*y**2 + 0.
-2*y*(y + 1)**4/3
Let y(s) be the second derivative of s**8/40320 + s**7/7560 + s**6/4320 - s**4/6 - 2*s. Let k(v) be the third derivative of y(v). Solve k(c) = 0.
-1, 0
Let i(s) be the first derivative of -s**6/120 + s**5/20 - s**4/12 - s**2/2 - 3. Let j(m) be the second derivative of i(m). Suppose j(h) = 0. What is h?
0, 1, 2
Factor 2*d - d**2 + 9 - 3*d**2 - 2*d**3 - 5 + 0.
-2*(d - 1)*(d + 1)*(d + 2)
Suppose 0 = 5*v - v - 12. Suppose 0 = v*a - n - 7, 3*n + 1 = -2. Factor 162/7*l**4 + 108/7*l**a + 2/7 - 24/7*l - 216/7*l**3.
2*(3*l - 1)**4/7
Let h(z) = -z**3 - 4*z**2 - 2*z + 6. Suppose 0 = 3*a + 12 - 3. Let m be h(a). Factor 1/3*f**m + 4/3 - f**2 + 0*f.
(f - 2)**2*(f + 1)/3
Suppose -28*h = -33*h + 30. Let g(w) be the second derivative of 1/24*w**3 + 0 - 1/60*w**h + 1/24*w**4 + 0*w**5 - 1/168*w**7 + 0*w**2 + 2*w. Factor g(r).
-r*(r - 1)*(r + 1)**3/4
Let w = -9 + 11. Factor -3*i + 4*i**w + 0*i + 7*i + i**3.
i*(i + 2)**2
Let l(h) be the second derivative of h**7/42 - h**6/15 + h**4/6 - h**3/6 + 6*h. What is c in l(c) = 0?
-1, 0, 1
Suppose 0 = 4*l - 14 + 6. Let b(o) be the first derivative of -6/5*o**5 - 2*o**l + 2/3*o**3 + 2 + 2*o**4 + 0*o. Determine v so that b(v) = 0.
-2/3, 0, 1
Let r be (-102)/(-5) - (-33)/55. Suppose 2*p - 6*p + 2 = 2*t, 3*p = 5*t + r. Suppose -5/2*n**2 - 4*n - p - 1/2*n**3 = 0. What is n?
-2, -1
Suppose l = -4*b + 8, -4 = b + l - 3. Factor -3/2 - 9/2*u - 3/2*u**b - 9/2*u**2.
-3*(u + 1)**3/2
Suppose -4/7*f**2 + 1/7*f**5 + 1/7*f - 2/7*f**3 + 2/7*f**4 + 2/7 = 0. What is f?
-2, -1, 1
Let t(i) = i**3 + 3*i**2 + 3*i + 1. Let u(k) = 2*k**3 + 4*k**2 + 2*k. Let o(v) = 3*t(v) - 2*u(v). Suppose o(d) = 0. What is d?
-1, 3
Let d(h) be the second derivative of -h**6/6 + h**5 - 5*h**4/4 - 16*h. Find f such that d(f) = 0.
0, 1, 3
Let n = -4/61 + 69/122. Solve 3*t**2 + n + 2*t + 2*t**3 + 1/2*t**4 = 0.
-1
Let o(b) be the third derivative of b**6/12 - b**5/4 - 5*b**4/8 + 5*b**3/3 - 69*b**2. Solve o(s) = 0.
-1, 1/2, 2
Let c(q) be the second derivative of 5*q**7/168 - 5*q**6/24 + 9*q**5/16 - 35*q**4