et c be z(0). Let g = c - -32. Factor 0 + 0*t + 2/3*t**g.
2*t**2/3
Let q be 0 - ((-3)/(-4) + -1). Let x be 451/143 - (-4)/(-26). Let 1/4 + 1/4*i**x - 1/4*i - q*i**2 = 0. Calculate i.
-1, 1
Let u = 790/7 + -1307/14. Find z such that u*z**3 - 13*z**2 + 9*z**4 + 4 - 27/2*z**5 - 6*z = 0.
-1, -2/3, 2/3, 1
Suppose 403 = 6*u + 25. Let g be (12/u)/((-9)/(-21)). Determine z so that -2/9 + g*z - 2/9*z**2 = 0.
1
Let l(t) be the third derivative of -t**5/90 - 5*t**4/36 - 4*t**3/9 + 14*t**2. Factor l(d).
-2*(d + 1)*(d + 4)/3
Let h(j) = -j**3 + 3*j**2 + j + 1. Let u be h(3). Factor -3*v**u - 12 + 2*v**3 + v**5 + 12.
v**3*(v - 2)*(v - 1)
Let c(b) be the second derivative of -b**6/75 + b**5/25 - b**4/30 + 7*b. Factor c(d).
-2*d**2*(d - 1)**2/5
Let y(j) = -21*j**2 - 84*j - 63. Let g(m) = 3*m**2 + 12*m + 9. Let h(u) = -27*g(u) - 4*y(u). Factor h(o).
3*(o + 1)*(o + 3)
Let r(u) be the second derivative of u**4/72 - u**2/12 - 3*u. Suppose r(k) = 0. Calculate k.
-1, 1
Let m(n) = -4*n**4 - 12*n**3 + 4*n**2 - 4*n. Let o(s) = 4*s**4 + 12*s**3 - 3*s**2 + 3*s. Let x(p) = 3*m(p) + 4*o(p). Let x(v) = 0. Calculate v.
-3, 0
Let x(p) = -9*p - 34. Let n be x(-4). Factor -5/4*w**3 + 0 - 1/2*w + 7/4*w**n.
-w*(w - 1)*(5*w - 2)/4
Factor -z**2 - 1/2*z**4 + 0 + 0*z + 3/2*z**3.
-z**2*(z - 2)*(z - 1)/2
Suppose -5*i - 3*c = -6, 2*c = -c + 6. Suppose -h - 4*m - 7 - 3 = i, 0 = -h + 3*m + 11. Factor -2/3 - 2/3*t**h + 4/3*t.
-2*(t - 1)**2/3
Let l(z) be the third derivative of -z**4/24 - z**3/3 - 9*z**2. Let m be l(-4). Factor -4/3 - 8/3*v**m + 2/3*v**3 + 10/3*v.
2*(v - 2)*(v - 1)**2/3
Let r(b) = b**4 + 21*b**3 + 19*b**2 + 4*b. Let g(i) = i**4 + 10*i**3 + 9*i**2 + 2*i. Let z(h) = 5*g(h) - 2*r(h). Factor z(q).
q*(q + 1)**2*(3*q + 2)
Let g(m) = -2*m + 6. Let i be 76/20 + 8/(-10). Let u be g(i). Factor -1/2*h**5 + 0 - 1/2*h**2 - 3/2*h**3 + u*h - 3/2*h**4.
-h**2*(h + 1)**3/2
Let z(i) = -2*i**3 + 10*i**2 + 24*i + 7. Let h(u) = u**3 + u**2 + 1. Let w(p) = 5*h(p) + z(p). What is t in w(t) = 0?
-2, -1
Let w(u) = -u**2 - 8*u + 3. Let p be w(-8). Solve -5*o**2 + o**3 + o**p + 4*o**2 - o = 0 for o.
-1/2, 0, 1
Let d be (-24)/(-44) - 6/11. Determine o, given that 0*o + 0*o**2 + 2/7*o**3 + d = 0.
0
Let l(y) = y**2 - 5*y + 2. Let x(g) = -g - 3. Let a be x(-8). Let k be l(a). Find c such that -4 - c**k + 2*c + 5*c - 11*c = 0.
-2
Suppose 0 = 4*a - 26 - 2. Suppose -3*u - a = -16. Factor -3/2*j**5 + 0 - 15/2*j**2 + 3/2*j**4 + 9/2*j**3 + u*j.
-3*j*(j - 1)**3*(j + 2)/2
Suppose j = -2*n, 7 = -j + 3. Solve 0 + 0*o**n + 0*o + 1/5*o**3 + 1/5*o**4 = 0 for o.
-1, 0
Suppose -p - 2*p + 4 = -i, -4*i + 8 = -4*p. Find d such that 0*d**p + 24*d - 3*d**3 + 6*d**2 - 27*d = 0.
0, 1
Let q(c) be the first derivative of c**6/120 - c**5/16 + c**4/16 + 3*c**3/8 - 8*c + 4. Let y(n) be the first derivative of q(n). Let y(x) = 0. What is x?
-1, 0, 3
Let -29*s - 18*s**2 - 11*s + 0*s**3 - 2*s**3 - 32 - 8*s = 0. Calculate s.
-4, -1
Suppose r + 0 = 3. Let w(d) = d - 6. Let y be w(8). Factor -2 + j**2 + r + y*j + 0*j**2.
(j + 1)**2
Let n(j) = j + 4. Let u be n(-4). Let d(c) be the second derivative of 1/21*c**3 - 1/70*c**5 - 2/7*c**2 + 3*c + 1/21*c**4 + u. Determine h so that d(h) = 0.
-1, 1, 2
What is f in -10/19*f + 4/19 + 8/19*f**2 - 2/19*f**3 = 0?
1, 2
Let w(p) = -2*p + 4. Let s be w(3). Let k be 0 + s*(-6)/4. Determine g so that 5*g**3 - k*g**3 - g**4 - g**3 = 0.
0, 1
Let i = 30 - 208/7. Solve -2/7*f + 0 - i*f**2 + 2/7*f**4 + 2/7*f**3 = 0.
-1, 0, 1
Let k(a) = -a + 4. Let o be k(7). Let r be o/(-21)*(-16)/(-2). Suppose -2/7 - r*b**2 + 10/7*b = 0. What is b?
1/4, 1
Let p(x) be the first derivative of -x**5/25 + x**3/15 - 6. Factor p(k).
-k**2*(k - 1)*(k + 1)/5
Factor -2/3*k + 2/9*k**4 + 2/3*k**3 + 0 - 2/9*k**2.
2*k*(k - 1)*(k + 1)*(k + 3)/9
Let q = 21 - 62/3. Let r(i) be the second derivative of 0 + 0*i**2 - 1/2*i**4 + q*i**3 - 3*i + 3/10*i**5 - 1/15*i**6. Factor r(d).
-2*d*(d - 1)**3
Suppose 5*p + 15 = 2*f, -p + 4*p + 9 = -f. Find z, given that -1/2*z**2 - 3/2*z**5 + 1/2*z**4 + f - z + 5/2*z**3 = 0.
-1, -2/3, 0, 1
Let a(j) be the second derivative of j**6/180 + j**5/30 + j**4/12 + j**3/9 + 5*j**2/2 + 3*j. Let v(u) be the first derivative of a(u). Factor v(p).
2*(p + 1)**3/3
Let j = -302 + 302. Find s, given that 0*s**2 + 0*s + 2/11*s**4 + 2/11*s**3 + j = 0.
-1, 0
Factor 0*m**2 - 9/5*m**3 + 0*m - 3/5*m**5 - 12/5*m**4 + 0.
-3*m**3*(m + 1)*(m + 3)/5
Suppose 0 = a - 2 - 1. Let q(p) be the second derivative of 0 - 1/60*p**5 + 1/18*p**a - p - 1/6*p**2 + 1/36*p**4. Factor q(x).
-(x - 1)**2*(x + 1)/3
Let f be (16/12*-1)/((-5)/3). Factor 2/5*q**2 - 6/5*q + f.
2*(q - 2)*(q - 1)/5
Let n = 2 - -13. Suppose c + 0*d - 3*d = -9, 3*c + 5*d = n. Find f such that 1/5*f**3 + c + 1/5*f + 2/5*f**2 = 0.
-1, 0
Let l(p) be the third derivative of 0*p**5 + 0*p + 4*p**2 + 1/385*p**7 + 0*p**4 - 1/660*p**6 + 0*p**3 + 0. Determine f so that l(f) = 0.
0, 1/3
Let x(b) be the first derivative of b**5/120 + b**4/16 + b**3/6 + b**2/2 + 1. Let n(t) be the second derivative of x(t). Factor n(u).
(u + 1)*(u + 2)/2
Let w(d) = -6*d**3 + 18*d**2 - 12*d - 15. Let s(a) = a**2 - a - 1. Suppose 3*g + 15 = 4*g. Let j(n) = g*s(n) - w(n). Let j(m) = 0. Calculate m.
-1/2, 0, 1
Let m = -11659/11 - -1061. Determine a, given that m*a**3 + 0 + 8/11*a**4 + 2/11*a**5 + 8/11*a**2 + 2/11*a = 0.
-1, 0
Let w(i) = -i**3 - 31*i**2 + 29*i - 94. Let j be w(-32). Factor -4/7 + 6/7*z - 2/7*z**j.
-2*(z - 2)*(z - 1)/7
Let v(t) = -t**3 + t**2 + t. Let p(g) be the third derivative of g**6/120 - g**5/15 - g**4/8 + 2*g**2. Let i(b) = -p(b) - 2*v(b). Suppose i(h) = 0. What is h?
-1, 0
Let l(t) be the second derivative of -t + 0 + 1/2*t**3 - 1/4*t**4 + 0*t**2. Factor l(n).
-3*n*(n - 1)
Suppose 30 = -2*w - 3*w. Let g be 1/(-3)*(w - 0). Suppose 2*c + 2*c**2 + 2 + 0 + g*c = 0. What is c?
-1
Let q be -10 - (-1 + (-3 - -1)). Let p be 1*(-3)/(4 + q). Determine c so that -p - 1/4*c**2 + c = 0.
2
Let t be 3 + (-8)/((-40)/(-11)). Factor t*n**2 - 2/5*n + 2/5*n**3 - 4/5.
2*(n - 1)*(n + 1)*(n + 2)/5
Let u(g) be the second derivative of 1/6*g**3 + 0 + 1/18*g**4 + 2*g + 1/6*g**2. Factor u(b).
(b + 1)*(2*b + 1)/3
Let h be 7 - (36/8 - -2). Factor -1/3 + h*s - 1/6*s**2.
-(s - 2)*(s - 1)/6
Let c(b) = b + 1. Suppose 5*f + 0*f = -2*p - 3, -2*f - 2*p = 6. Let t(v) = -v**3 + 2*v**2 - 3*v - 2. Let q(n) = f*t(n) + 2*c(n). What is g in q(g) = 0?
0, 1
Let j = 5 + -2. Suppose 3 = -p + 3*u, 4*p + j = -3*u + 6. Determine b so that p*b**3 + 0*b**3 - b**3 = 0.
0
Let j be 49/60 - 90/120. Let c(v) be the first derivative of -j*v**5 + 1 - 8/3*v - 7/12*v**4 - 2*v**3 - 10/3*v**2. Determine z, given that c(z) = 0.
-2, -1
Let x(c) be the second derivative of 5*c**4/12 - 10*c**3/3 + 10*c**2 + 25*c. Factor x(n).
5*(n - 2)**2
Suppose -4*o + 8 = -4. Factor -o*f**2 + 2*f**2 - 2 + 3 + f**3 - f.
(f - 1)**2*(f + 1)
Let n = -233 + 237. Factor 2/5*i**n + 2/5*i + 4/5 - 2/5*i**3 - 6/5*i**2.
2*(i - 2)*(i - 1)*(i + 1)**2/5
Let f be (-40)/180 - 64/(-45). Factor -4/5*t - 2/5 + f*t**2.
2*(t - 1)*(3*t + 1)/5
Let t(z) = -z + 13. Let m be t(11). Let j = -31 + 97. Factor -66*l**3 + j*l**m + 3 - 22*l**3 + 27*l**4 - 24*l + 16*l**3.
3*(l - 1)**2*(3*l - 1)**2
Let m be (-6 - -3)/(-6 + 2). Determine k, given that 3/4*k**4 + 0 - 3/4*k**5 + 3/4*k**3 + 0*k - m*k**2 = 0.
-1, 0, 1
Let b(j) be the third derivative of -j**5/15 + 4*j**4/3 - 32*j**3/3 + 20*j**2. Factor b(s).
-4*(s - 4)**2
Factor 2/5*k**4 + 8/5*k + 12/5*k**2 - 16/5 - 2*k**3.
2*(k - 2)**3*(k + 1)/5
Let q(h) be the second derivative of 2*h**6/75 - 7*h**5/25 + h**4 - 6*h**3/5 - 14*h. Suppose q(u) = 0. Calculate u.
0, 1, 3
Let i(g) be the first derivative of -g**4/10 - 4*g**3/15 - g**2/5 - 6. Solve i(z) = 0 for z.
-1, 0
Let p = 96 - 92. Let u(t) be the first derivative of -2 - 2/5*t**p - 2/25*t**5 - 4/5*t**2 - 4/5*t**3 - 2/5*t. Find h such that u(h) = 0.
-1
Let j(t) be the third derivative of -2*t**7/105 - t**6/10 - t**5/5 - t**4/6 + 5*t**2. Let j(a) = 0. Calculate a.
-1, 0
Let h be 3/(-6) + 20/15. Let f(i) be the first derivative of -2*i - 2*i**2 - h*i**3 + 1 - 1/8*i**4. Determine u, given that f(u) = 0.
-2, -1
Let j = -45 - -91/2. Factor -j*n**4 + 0 + 1/4*n**3 + 0*n + 1/4*n**5 + 0*n**2.
n**3*(n - 1)**2/4
Let h be (-18)/(-4) - 4/8. Factor 3*v**3 + 0*v**3 - 8*v**2 - h + 10*v + 2*v**3 - 3*v**3.
2*(v - 2)*(v - 1