Suppose 4*n + 2*f + 46 = 4*f, -n + 4*f - 8 = 0. Let s be 6/n + 0 + 1. Factor 18*y**2 - 21/4*y + s - 20*y**3.
-(4*y - 1)**2*(5*y - 2)/4
Let d be 33/7 + 8/28. Suppose -4*q = -5*u - 3, -d*q + q + 9 = u. Find c, given that 1 + 0*c**2 - c**2 + c + u = 0.
-1, 2
Let f = -198 + 1388/7. Let o be 2/6*2*3. Suppose -4/7 + 2/7*t + f*t**o = 0. Calculate t.
-2, 1
Let b(u) be the second derivative of -u**9/20160 + u**7/3360 + u**4/2 - 2*u. Let z(h) be the third derivative of b(h). Find a such that z(a) = 0.
-1, 0, 1
Solve 0*k**2 + 2/3 - 4/3*k - 2/3*k**4 + 4/3*k**3 = 0 for k.
-1, 1
Let v(g) = -g**4 - 4*g**3 + g + 1. Let o(u) = 6*u**4 + 24*u**3 + u**2 - 7*u - 7. Let n = 7 + -1. Let y(w) = n*o(w) + 34*v(w). Solve y(t) = 0.
-2, -1, 1
Let i(c) = 5*c - 1. Let s be i(1). Suppose -20 = -t - s*t. Solve 0*p**2 - 2/5*p**t + 2/5 - 4/5*p + 4/5*p**3 = 0.
-1, 1
Let a = -964/5 - -194. Factor 2/5*d**2 + 0 + 14/5*d**4 - 2*d**3 + 0*d - a*d**5.
-2*d**2*(d - 1)**2*(3*d - 1)/5
Factor -2*u**2 + 0 + 2/3*u**3 + 0*u.
2*u**2*(u - 3)/3
Let i(a) = -3*a**2 + 3 + 5 - 5 - 12*a + 0. Let m(p) = -1. Let w(v) = -i(v) - 12*m(v). Factor w(u).
3*(u + 1)*(u + 3)
Factor 1/2 - 4/3*q**2 + 1/3*q.
-(2*q + 1)*(4*q - 3)/6
Let l(r) be the second derivative of r**6/30 - r**4/4 + r**3/3 + 7*r. Find c such that l(c) = 0.
-2, 0, 1
Let b = -174 + 697/4. Factor -3/4*r + 3/4*r**2 + b - 1/4*r**3.
-(r - 1)**3/4
Let l = 55 + -52. Suppose 7/3*b**2 + l*b + 2/3 = 0. Calculate b.
-1, -2/7
Suppose -7 = i + 3. Let u be (8/i)/(6/(-5)). Factor -2/9*v**4 + 2/9*v - 2/3*v**2 + 0 + u*v**3.
-2*v*(v - 1)**3/9
Let k(r) = 4*r - 5. Let h be k(4). Let f = h - 9. What is i in -8*i + 18*i**3 - 12*i**f + 16/3 = 0?
-2/3, 2/3
Let u(t) be the second derivative of -2*t + 0*t**2 + 0 - 1/6*t**4 + 0*t**3 - 1/10*t**5. Suppose u(v) = 0. Calculate v.
-1, 0
Let x(q) be the first derivative of 2*q**6/7 + 44*q**5/35 - 13*q**4/7 - 52*q**3/7 - 20*q**2/7 + 32*q/7 + 32. What is w in x(w) = 0?
-4, -1, 1/3, 2
Suppose -3*g - 2*l = -5, -g + 2*g - l = 10. Suppose 4*p + 0*i + 4*i = 8, 4*p - g*i = 17. Factor -u**2 + p*u - u**2 + u.
-2*u*(u - 2)
Let c be 10/(-75) - (-224)/105. Factor 0*p**c + 0*p**4 + 0 + 1/2*p**3 - 1/4*p**5 - 1/4*p.
-p*(p - 1)**2*(p + 1)**2/4
What is q in 0*q - 3/2*q**3 + 3/2*q**2 + 0 = 0?
0, 1
Suppose -1 - 7/2*n**2 - 9/2*n = 0. Calculate n.
-1, -2/7
Let y = 16 - 12. Let z(i) be the first derivative of 2 - 1/3*i**3 - 1/4*i**y + i + 1/2*i**2. Factor z(l).
-(l - 1)*(l + 1)**2
Let a(p) be the third derivative of -1/20*p**5 - 3*p**2 + 0*p**4 + 0*p + 0*p**3 - 1/80*p**6 + 0. Find j, given that a(j) = 0.
-2, 0
Suppose 2*u - 6*j = -5*j + 14, -3*u + j + 20 = 0. Suppose 2*w = 5*n + 24, -n = -w - u*n - 18. Find f such that -f**w + 7*f**2 + 4*f**3 - 2*f**3 + 4*f = 0.
-2, -1, 0
Let i be 2/(-8) - 9/(-4). Solve -i*n**3 + 43*n - 43*n = 0 for n.
0
Let h(l) be the first derivative of -l**4/24 + l**3/4 - l**2/2 - 4*l - 5. Let m(w) be the first derivative of h(w). Factor m(b).
-(b - 2)*(b - 1)/2
Suppose -29 = 4*d - 5*a, -4*d + 4*a - 11 - 17 = 0. Let w be (-3)/d*4 + 1. Find i, given that -3*i**2 + w*i**3 + i + 0*i**2 + 0*i**2 - i**4 = 0.
0, 1
Let d be 4 + -3 + -1 + 2. Factor -8*j - j**2 - 5 - 5*j**2 + j**4 + d + 0.
(j - 3)*(j + 1)**3
Let l(j) be the first derivative of -2/9*j**3 + 0*j**2 - 5/12*j**4 + 7/15*j**5 + 0*j + 2. Determine q so that l(q) = 0.
-2/7, 0, 1
Let n be ((-30)/(-35))/(3 + 0). Factor -n*w + 2/7*w**2 + 0.
2*w*(w - 1)/7
Let s(j) be the second derivative of -j**8/5040 + j**6/1080 + j**3/6 - j. Let o(f) be the second derivative of s(f). Determine c so that o(c) = 0.
-1, 0, 1
Let -46/9*x**4 + 14/9*x**5 + 8/9 + 38/9*x**2 + 26/9*x**3 - 40/9*x = 0. What is x?
-1, 2/7, 1, 2
Let -3/7*v**2 - 9/7*v - 6/7 = 0. Calculate v.
-2, -1
Let k(h) be the first derivative of -h**6/40 + 3*h**5/20 - h**4/4 + 5*h**2/2 - 5. Let v(w) be the second derivative of k(w). Determine t so that v(t) = 0.
0, 1, 2
Let u be (9 - 14) + (-39)/(-6). Solve -v + 0 + 1/2*v**2 + u*v**3 = 0 for v.
-1, 0, 2/3
Let w be 0 + (-38)/(-90) + (-7)/35. Factor 4/9*o**4 - 2/9*o**3 + 0 - w*o**5 + 0*o**2 + 0*o.
-2*o**3*(o - 1)**2/9
Let c = -365/18 + 484/9. Let o = c - 33. Find m, given that o + 5/4*m**2 - 7/4*m = 0.
2/5, 1
Let u(g) be the second derivative of 0 + 0*g**4 + 1/210*g**7 - g + 0*g**5 + 1/120*g**6 + 0*g**3 - g**2. Let d(x) be the first derivative of u(x). Factor d(f).
f**3*(f + 1)
Let i(h) be the second derivative of 0*h**4 + 1/2*h**2 + 2*h + 0 + 1/27*h**3 - 1/270*h**5. Let k(p) be the first derivative of i(p). Factor k(a).
-2*(a - 1)*(a + 1)/9
Let d = 76 - 141. Let r be 160/364 + 10/d. Factor 2/7*p + r + 2/7*p**5 - 4/7*p**3 + 2/7*p**4 - 4/7*p**2.
2*(p - 1)**2*(p + 1)**3/7
Let v(y) be the second derivative of -2*y + 0 + 0*y**3 + 0*y**5 + 0*y**2 - 1/135*y**6 + 1/54*y**4. Suppose v(h) = 0. Calculate h.
-1, 0, 1
Let r(s) = -s**2 + s. Let y be r(1). Determine u, given that y - 8/5*u - 8/5*u**2 - 2/5*u**3 = 0.
-2, 0
Let k(j) be the first derivative of -j**2 + 0*j - 4/3*j**3 - 1 + 1/2*j**4 + 4/5*j**5. Factor k(y).
2*y*(y - 1)*(y + 1)*(2*y + 1)
Let h(v) be the first derivative of 8*v**3 - 3 + 9/2*v**4 + 4/3*v + 5*v**2. Factor h(x).
2*(3*x + 1)**2*(3*x + 2)/3
Let p(o) = -8*o**2 + 4*o + 8. Let x(u) = -u**3 - 7*u**2 + 4*u + 7. Let v(d) = 3*p(d) - 4*x(d). Factor v(k).
4*(k - 1)*(k + 1)**2
Suppose 3*z + 0*a = -a + 14, 5*a - 37 = -4*z. Determine g, given that 3*g**5 + 17*g**2 + 13*g**2 + 3 + 20*g**z + 10*g**3 + 15*g + 15*g**4 = 0.
-1
Let s = 57 + -57. Let n(x) be the second derivative of -2/3*x**2 - x - 2/9*x**4 - 1/30*x**5 + s - 5/9*x**3. Factor n(u).
-2*(u + 1)**2*(u + 2)/3
Suppose 13*y - 18 = 7*y. What is q in 4/5*q**y + 4/15*q**2 - 2/5*q - 2/5*q**5 - 2/15 - 2/15*q**4 = 0?
-1, -1/3, 1
Let z(v) be the second derivative of v**4/42 - v**3/7 + 2*v**2/7 + 22*v. Solve z(q) = 0 for q.
1, 2
Suppose -10 = -m - 4*v + 1, 5*m + v - 17 = 0. Factor 0 - 2/5*k**2 - 1/5*k**m + 0*k.
-k**2*(k + 2)/5
Let i(w) be the first derivative of -28*w**5/5 + 19*w**4 - 32*w**3/3 - 8*w**2 - 27. Factor i(z).
-4*z*(z - 2)*(z - 1)*(7*z + 2)
Let u(m) be the first derivative of m**5/10 + 5*m**4/12 - 2*m**3/3 - m**2/2 + 3. Let q(n) be the second derivative of u(n). Factor q(k).
2*(k + 2)*(3*k - 1)
Let g(s) = s**3 + 9*s**2 + 8*s + 12. Let o be g(-8). Let q be 2 + (o/10)/(-3). Factor 7/5*f**3 + 1/5*f**2 - 16/5*f**5 + 0*f + 0 + q*f**4.
-f**2*(f - 1)*(4*f + 1)**2/5
Suppose 0 = 2*o + 5*d - 24, -4*o + 26 = 2*d - 3*d. Let s be (1/5)/(o/14). Suppose s*z**3 + 0 - 2/5*z**4 + 2/5*z**2 - 2/5*z = 0. What is z?
-1, 0, 1
Suppose -2*n + 9 + 10 = 3*f, 0 = 5*f - 25. Suppose n*v + 0*v - 6 = 0. Factor 0 - 2/7*q**2 + 2/7*q**v + 0*q.
2*q**2*(q - 1)/7
Factor 25/2*n + 10 + 5/2*n**2.
5*(n + 1)*(n + 4)/2
Suppose b + 16 = 5*b. What is t in 5 - 5 - 3*t**5 - t**3 - t**2 + 5*t**b = 0?
-1/3, 0, 1
Factor 14*h + 0 + 73*h**4 - 75*h**4 - 18*h**2 - 4 + 10*h**3.
-2*(h - 2)*(h - 1)**3
Let f(b) = -3*b**3 + 5. Let x(q) = -q**3 + 2. Let t(i) = 2*f(i) - 5*x(i). Factor t(o).
-o**3
Let k(s) = -s**3 - 3*s**2 - 3*s - 7. Let z be k(-3). Let u(d) be the third derivative of 0*d - 1/150*d**5 + 0*d**3 + 1/60*d**4 + 2*d**z + 0. Factor u(g).
-2*g*(g - 1)/5
Let o(v) be the second derivative of 5*v**4/12 - v**3/3 - 7*v**2/2 + 2*v. Let j(i) = 24*i**2 - 10*i - 34. Let b(g) = -3*j(g) + 14*o(g). What is m in b(m) = 0?
-1, 2
Factor 12/7*l**2 - 3/7 + 9/7*l.
3*(l + 1)*(4*l - 1)/7
Find g, given that 3*g**2 + 2*g**2 - 3 - 2*g**2 + 3*g - 3 = 0.
-2, 1
Let z(w) be the third derivative of -w**7/350 + w**6/200 + w**5/100 - w**4/40 - 14*w**2. Factor z(b).
-3*b*(b - 1)**2*(b + 1)/5
Let m(s) be the third derivative of s**9/1008 + s**8/840 - s**7/840 - s**3/2 + s**2. Let v(u) be the first derivative of m(u). Factor v(x).
x**3*(x + 1)*(3*x - 1)
Find f such that -504 + 504 + 5*f**3 + 2*f + 7*f**2 = 0.
-1, -2/5, 0
Let o(n) be the third derivative of n**5/20 - 3*n**4/8 - 2*n**3 + 19*n**2 - n. Find w such that o(w) = 0.
-1, 4
Let x be (-105)/(-459) - (1 + 30/(-34)). Let v(j) be the first derivative of -2/27*j**3 + 4 + 4/9*j - x*j**2. What is k in v(k) = 0?
-2, 1
Let r(l) = l**4 - l**2 - l. Let d = 12 - 0. Let p(x) = 5*x**4 - x**3 - 5*x**2 - 3*x. Let o(v) = d*r(v) - 3*p(v). Determine w, given that o(w) = 0.
-1, 0, 1
Let a be 40/16 - 1/2. Let g be ((-1)/a)/((-10)/40). Factor 34/9*d**3 - 4/9 - 14/3*d**g + 22/9*d - 10