-a*(a - 3)*(a - 1)**2/6
Let l be 3/(-27) - 4/(-36). Suppose 2*y - 11 + 1 = l, 0 = 5*t + 4*y - 20. Let 4/11*a**2 - 2/11*a - 2/11*a**3 + t = 0. What is a?
0, 1
Let b(x) be the first derivative of 0*x**4 + 1/1440*x**6 + 0*x**5 + 0*x**2 + 0*x - 2 - 2/3*x**3. Let m(n) be the third derivative of b(n). Factor m(k).
k**2/4
Let n(k) be the first derivative of -2*k**3/15 + k**2 + 25. Factor n(c).
-2*c*(c - 5)/5
Suppose 16 = 5*b + 6. Suppose 10 = b*k + 3*k. Suppose 1/4*x**k + 1/2*x + 1/4 = 0. What is x?
-1
Let d(t) be the third derivative of 5*t**8/84 - 2*t**7/21 - t**6/8 + t**5/3 - 5*t**4/24 - 8*t**2. Suppose d(q) = 0. Calculate q.
-1, 0, 1/2, 1
Suppose 5*s - 28 = 4*w, -3*w + 0 + 2 = 2*s. Factor l**3 - l + 0*l + 5*l**2 - 1 - s*l**2.
(l - 1)*(l + 1)**2
Let t(u) = u**3 + 4*u**2 + 3*u + 4. Let i be t(-3). Let v(o) = o - 1. Let a be v(i). Factor -12/7*x + 18/7*x**2 + 2/7 - 8/7*x**a.
-2*(x - 1)**2*(4*x - 1)/7
Find a, given that -32*a - 2 + 26*a + 2 + 3*a**2 = 0.
0, 2
Suppose 0 = -u + 3, 2*u = -4*f - u + 21. Let b(a) be the first derivative of -3*a**f - 3*a + 9/2*a**2 + 5 + 3/4*a**4. Factor b(x).
3*(x - 1)**3
Factor -31*h**5 - 35*h**5 - 5*h**3 + 71*h**5.
5*h**3*(h - 1)*(h + 1)
Let v(k) be the third derivative of -2*k**7/21 - 2*k**6/3 - 13*k**5/12 - 5*k**4/8 - 7*k**2. Determine h, given that v(h) = 0.
-3, -1/2, 0
Let p(b) be the third derivative of -b**6/1320 + b**5/165 - 5*b**4/264 + b**3/33 + 24*b**2. Factor p(a).
-(a - 2)*(a - 1)**2/11
Let b(v) be the third derivative of -v**5/60 - v**3/6 + v**2. Let u(i) = -9*i**2 - 4*i - 9. Let s(l) = 22*b(l) - 2*u(l). Factor s(h).
-4*(h - 1)**2
Let c be 45/6*(3 - (-175)/(-63)). Find a such that -2/3*a**2 - c*a + 2/3 + 5/3*a**3 = 0.
-1, 2/5, 1
Let k = -9 + 13. Factor -2*o**3 + 2*o + k*o**2 + 6*o**3 - o**3 - o**3.
2*o*(o + 1)**2
Let w(s) = -3*s**2 + s. Let q be 4 + (0 - -2 - 2). Suppose 0 = q*u - 5 + 13. Let y(h) = 4*h**2 - h. Let b(x) = u*y(x) - 3*w(x). Let b(a) = 0. Calculate a.
0, 1
Let w = -24 + -151. Let a = w + 705/4. Determine v, given that a*v**4 + 7/4*v**3 - 7/4*v - 1/2 - 3/4*v**2 = 0.
-1, -2/5, 1
Let b(m) = -m**3 + 9*m**2 - 8*m. Let l be b(8). Let p be (l + 0)/(-5 - -4). Find f, given that 1/3*f**4 - 2/3*f**3 + p*f**2 - 1/3 + 2/3*f = 0.
-1, 1
Let b(h) = -4*h + 28. Let d be b(6). Let o(n) be the second derivative of -1/24*n**d + 1/12*n**3 + 0 - 1/40*n**5 + 3*n + 1/4*n**2. Factor o(x).
-(x - 1)*(x + 1)**2/2
Let p = -115/7 - -17. Find r, given that 24/7*r**2 + 18/7*r + p + 10/7*r**3 = 0.
-1, -2/5
Let o(d) = 7*d**4 - 7*d**3 - 7*d**2 + 7*d - 6. Let g(k) = 6*k**4 - 6*k**3 - 6*k**2 + 6*k - 5. Let m(y) = -6*g(y) + 5*o(y). Factor m(r).
-r*(r - 1)**2*(r + 1)
Let z(l) be the second derivative of 0 + 1/8*l**4 - 3/4*l**2 + 3*l + 3/40*l**5 - 1/4*l**3. Factor z(m).
3*(m - 1)*(m + 1)**2/2
Let -25*d**5 + 8*d**4 + 8 + 44*d - 75*d**4 - 19*d**3 - 3*d**4 + 62*d**2 = 0. Calculate d.
-2, -1, -2/5, 1
Let z(p) be the first derivative of -p**5/5 - p**4/4 + p**3/3 + p**2/2 - 6. Determine q, given that z(q) = 0.
-1, 0, 1
Let i(o) be the second derivative of -o**5/10 + 7*o**4/6 - 5*o**3 + 9*o**2 - 33*o. Determine h so that i(h) = 0.
1, 3
Let v = 612 + -1828/3. Find u, given that v*u**5 + 2*u**2 - 10/3*u**3 - 2*u**4 + 0 + 2/3*u = 0.
-1, -1/4, 0, 1
Let x(a) be the first derivative of a**4/12 - a**3/9 - a**2/3 + 7. Let x(g) = 0. Calculate g.
-1, 0, 2
Let r(l) = 2*l**2 - 11*l - 3. Let t be r(6). Solve -2/3*z**2 + 1/3*z + 1/3*z**t + 0 = 0 for z.
0, 1
Let l be (832/(-200) + 4)/(4/(-10)). What is y in -6/5*y**4 + 0*y - 2/5*y**2 + l*y**5 + 0 + 6/5*y**3 = 0?
0, 1
Factor 0*p**2 - 2/3*p**3 + 0*p + 0.
-2*p**3/3
Let f(l) be the second derivative of l**5/10 - l**3/3 - 14*l. Find x such that f(x) = 0.
-1, 0, 1
Let h(s) be the first derivative of 0*s - 1/7*s**2 - 6 + 0*s**3 + 1/14*s**4. Find r, given that h(r) = 0.
-1, 0, 1
Let r(c) be the third derivative of c**7/105 - c**6/60 - c**5/10 + 5*c**4/12 - 2*c**3/3 + 8*c**2. Factor r(a).
2*(a - 1)**3*(a + 2)
Let g(r) be the second derivative of -r**6/120 - r**5/60 - r**2 - 3*r. Let x(a) be the first derivative of g(a). Factor x(b).
-b**2*(b + 1)
Let z be (-3)/15 - 5/(-25). Let d(t) be the third derivative of 0*t**3 + 0*t + 1/96*t**4 + z*t**5 + 0 + 3*t**2 - 1/480*t**6. What is v in d(v) = 0?
-1, 0, 1
Suppose 3 + 250*i + 307*i**2 - 6 - 3432*i**2 - 2 = 0. Calculate i.
1/25
Let d = -261 + 525/2. Suppose -15/2*p**3 - 6*p + 12*p**2 + d*p**4 + 0 = 0. What is p?
0, 1, 2
Let m(l) be the third derivative of -l**5/12 + 5*l**4/12 + 20*l**3/3 - 58*l**2. Factor m(d).
-5*(d - 4)*(d + 2)
Let x be 108/(-12)*(-2)/3. Let r(y) be the first derivative of 0*y**2 + 0*y - y**x - 1/2*y**4 + 0*y**3 + 2 - 8/5*y**5. Let r(h) = 0. Calculate h.
-1, -1/3, 0
Let y(g) be the first derivative of -1/2*g**4 + 1/10*g**5 + 5 + 1/2*g**3 + g**2 - 2*g. Determine d, given that y(d) = 0.
-1, 1, 2
Let p be (8/(-12))/(2/(-6)). Let 0*s**2 - 2*s**p - 37*s + 37*s = 0. What is s?
0
Let j(a) be the second derivative of -a**4/12 + a**3/6 - 6*a. Factor j(l).
-l*(l - 1)
Let a(d) = 4*d**4 - 2*d**3 + 8*d**2 - 4*d - 3. Let x(s) = -3*s**4 + 3*s**3 - 8*s**2 + 4*s + 2. Let u(p) = -2*a(p) - 3*x(p). Factor u(h).
h*(h - 2)**2*(h - 1)
Let c(r) = r**2 + 5*r - 6. Suppose -2*j - 8 - 4 = 0. Let a be c(j). Suppose -2*i**3 + i**3 + 3*i + a*i**3 - i + 3*i**2 - 3*i**4 - i**5 = 0. What is i?
-2, -1, 0, 1
Find k such that -52*k + 28*k**2 - 3 + 144*k + 2 + 25 = 0.
-3, -2/7
Factor 0*l + 3/7 - 3/7*l**2.
-3*(l - 1)*(l + 1)/7
Let i = -5/32 - 97/608. Let u = 68/95 + i. Determine g so that 2/5*g - u*g**2 + 0 = 0.
0, 1
Suppose 0 = 4*b + 2 - 10. Let a(x) be the first derivative of -2/5*x + 0*x**b + 0*x**4 + 1 + 4/15*x**3 - 2/25*x**5. Factor a(i).
-2*(i - 1)**2*(i + 1)**2/5
Let q(g) be the third derivative of -g**7/105 + g**6/16 - 17*g**5/120 + g**4/8 - 16*g**2. Factor q(n).
-n*(n - 2)*(n - 1)*(4*n - 3)/2
Factor 1 - 1/8*x**4 - 3/8*x**3 + 3/2*x + 1/4*x**2.
-(x - 2)*(x + 1)*(x + 2)**2/8
Let k(r) = r. Let h be k(2). Suppose 3*y = -3*u - 3, -h*y - 6 = 3*u - 1. What is m in -1/2 + 7/2*m - 8*m**3 - 4*m**y = 0?
-1, 1/4
Suppose 25 = d - 6*d, -3*h + 4*d + 23 = 0. Let k be 3/1*4/4. Find b such that b + b**2 - 2*b + k*b + h = 0.
-1
Let m(r) = -r**2 + r. Let c(v) = -14*v**4 + 38*v**3 - 41*v**2 + 13*v + 4. Let o(b) = 2*c(b) - 22*m(b). Suppose o(k) = 0. Calculate k.
-2/7, 1
Let a(o) be the second derivative of -1/12*o**4 - 1/2*o**2 + 0 + 7*o + 7/12*o**3 - 3/40*o**5. Factor a(p).
-(p - 1)*(p + 2)*(3*p - 1)/2
Let w(r) be the third derivative of r**8/504 + r**7/105 + r**6/90 - r**5/45 - r**4/12 - r**3/9 + 7*r**2. Factor w(y).
2*(y - 1)*(y + 1)**4/3
Let y be 4/(10 - 36/4). Suppose 2/3*z**2 + 4*z - 1/3*z**y - 4/3*z**3 - 3 = 0. Calculate z.
-3, 1
Let r(f) be the third derivative of f**6/900 - f**5/225 - f**4/45 + 8*f**3/45 + 5*f**2. Factor r(u).
2*(u - 2)**2*(u + 2)/15
Let n(o) = -7*o**4 + 52*o**3 - 122*o**2 - 50*o + 127. Let b(u) = -155*u**4 + 1145*u**3 - 2685*u**2 - 1100*u + 2795. Let m(g) = -2*b(g) + 45*n(g). Factor m(a).
-5*(a - 5)**2*(a - 1)*(a + 1)
Let b(m) = -m + 1. Let l(k) = 2*k**2 - 7*k + 5. Let q(a) = -5*b(a) + l(a). Determine x, given that q(x) = 0.
0, 1
Factor -27*q**3 + 14*q**3 + 12*q**3 + q.
-q*(q - 1)*(q + 1)
Let l be (-84)/(-320) + (-2)/10. Let f(h) be the first derivative of 5/8*h**2 - l*h**4 - 3/4*h - 2 - 1/12*h**3. Factor f(m).
-(m - 1)**2*(m + 3)/4
Let c = 24 + -22. Factor -5*x**c + 3*x**2 - 4*x + 5*x**4 + 4*x**3 - 3*x**4.
2*x*(x - 1)*(x + 1)*(x + 2)
Let b(u) be the second derivative of u**6/45 - 2*u**5/45 + u**4/54 + 4*u. What is m in b(m) = 0?
0, 1/3, 1
Determine a, given that 15*a + a - 11 + 11 - 4*a**3 = 0.
-2, 0, 2
Let f be (10/(-15))/((-2)/9). Suppose 9*d - 3*d**2 + f*d**4 + 3*d**3 - 9*d - 3*d**5 = 0. Calculate d.
-1, 0, 1
What is r in -4*r**4 - 8*r**3 - 12*r**2 - 6*r**2 - 7*r**2 + 21*r**2 = 0?
-1, 0
Let w be ((-28)/175)/((-6)/15). Factor w*v**4 - 4/5*v**3 + 0 + 2/5*v**2 + 0*v.
2*v**2*(v - 1)**2/5
Find z such that -3*z**4 + 308*z**3 + 4*z + 4*z**2 + z**4 - 2*z**4 - 312*z**3 = 0.
-1, 0, 1
Let s(l) be the first derivative of 3*l**8/560 + l**7/40 + l**6/60 - 4*l**3/3 - 6. Let i(y) be the third derivative of s(y). Factor i(j).
3*j**2*(j + 2)*(3*j + 1)
Let x(t) be the first derivative of -1/450*t**6 + 0*t**4 - 1 + 0*t**2 + 0*t + 1/300*t**5 + t**3. Let g(y) be the third derivative of x(y