4 + 7/3*g**3 + 0 - 1/3*g**2 + 2*g**5 - 1/3*g = 0.
-1, -1/2, 0, 1/3
Suppose 4*v - 4 = -3*o, 4*v + 5*o = -0*v - 4. Let a be (2 + v)/((-3)/(-2)). Solve 4/7*x**a + 0 - 2/7*x**3 + 2/7*x - 4/7*x**2 = 0 for x.
-1, 0, 1/2, 1
Let m = 1243/120 + -85/8. Let a = 1/15 - m. Factor 0*p**3 + 0*p + 0 + 1/3*p**2 - a*p**4.
-p**2*(p - 1)*(p + 1)/3
Suppose 3*i**2 - 9*i + 4 - 19*i**2 + 2 + i**2 = 0. Calculate i.
-1, 2/5
Let v = 64 + -61. Let 1/2 - 5/4*q + q**2 - 1/4*q**v = 0. Calculate q.
1, 2
Suppose -2*k = 2*k + 24. Let a(u) be the third derivative of u**4/24 - 12*u**2. Let l(b) = 2*b**2 + 4. Let h(q) = k*a(q) + l(q). What is j in h(j) = 0?
1, 2
Suppose -25 = -5*i, 8*i = 3*h + 7*i + 5. Suppose 1/4*n**3 - 3/4*n + h + 1/2*n**2 = 0. What is n?
-3, 0, 1
Let y(l) be the first derivative of l**6/2 - 12*l**5/5 + 9*l**4/2 - 4*l**3 + 3*l**2/2 + 1. Suppose y(j) = 0. What is j?
0, 1
Let n = -2902/7 + 416. Suppose 0 = -2*v + 4*v. Factor 4/7*l - n*l**4 + v + 24/7*l**3 - 18/7*l**2.
-2*l*(l - 1)**2*(5*l - 2)/7
Suppose 4*d - 2*w - 6 = -0, -4*d = 4*w + 12. Determine a so that d - 2*a + 5*a - 1 - 1 - a**2 = 0.
1, 2
Let m(z) be the first derivative of -2*z**3/15 - 2*z**2/5 - 8. Factor m(x).
-2*x*(x + 2)/5
Let o(f) = f**2 - 7*f. Let u be o(7). Factor -6*g**2 + 2*g**3 + 6*g - 2 + 0*g + u*g**3 + 0*g**3.
2*(g - 1)**3
Let z(i) = 3*i**2 - 4*i + 3. Let g(f) = -2*f**2 + 3*f - 2. Let b(x) = 4*g(x) + 3*z(x). Let k(j) = -3*j**2 - 8*j - 7. Let o(a) = -2*b(a) - 2*k(a). Factor o(n).
4*(n + 1)*(n + 3)
Let j = 4 + -5. Let n be j/(2/16*-2). Factor 0*g - 2/5*g**3 - 1/5*g**n - 1/5*g**2 + 0.
-g**2*(g + 1)**2/5
Let u(r) be the second derivative of r**3/3 - 3*r**2/2 + 2*r. Let z be u(3). Suppose -3*v**4 + 2*v**4 - z*v**5 + v**5 = 0. Calculate v.
-1/2, 0
Let -6*n**2 - 3*n**2 + 0*n**4 - 4*n + 3*n**4 - 2*n = 0. Calculate n.
-1, 0, 2
Solve 5/3 + 1/2*p - 1/6*p**2 = 0 for p.
-2, 5
Let c = 3 + -1/2. Let p(f) be the first derivative of 21/5*f**5 + 3/2*f**6 - 2*f**3 - 2 - 3/2*f**2 + f + c*f**4. Find u such that p(u) = 0.
-1, 1/3
Let l = -9 - -9. Suppose 0 = 2*f - 6 - l. Find c such that -1 - c + 33/4*c**2 + 21/4*c**5 - 17/4*c**f - 29/4*c**4 = 0.
-1, -2/7, 2/3, 1
Let y(h) be the third derivative of -h**6/280 + 3*h**5/70 - 11*h**4/56 + 3*h**3/7 + 8*h**2. Solve y(m) = 0 for m.
1, 2, 3
Let q(r) be the first derivative of -r**4/4 + r**3/3 + r**2/2 - r + 28. Factor q(l).
-(l - 1)**2*(l + 1)
Suppose -5*t = 20, -7*s - 3*t = -2*s - 3. Suppose j - 5 + 3 = 0. Let 1 + 0*n + 2*n - s*n**j + 4*n**2 = 0. Calculate n.
-1
Let p = -5 - -7. Suppose 0*t + 6 = 3*t. Suppose -6*y**4 - 2*y**5 + p + 6*y - 2*y**t - 2*y**2 + 8*y**2 - 4*y**3 = 0. What is y?
-1, 1
Let z(m) be the first derivative of m**6/3 - 2*m**5/5 - m**4/2 + 2*m**3/3 + 8. Factor z(x).
2*x**2*(x - 1)**2*(x + 1)
Let p(d) be the third derivative of d**5/160 + d**4/64 + 18*d**2. Factor p(j).
3*j*(j + 1)/8
Let b(q) be the second derivative of -2*q**6/15 - q**5 - 3*q**4 - 14*q**3/3 - 4*q**2 - 7*q. Determine k so that b(k) = 0.
-2, -1
Let r = 1457/408 + -60/17. Let m(i) be the second derivative of 0*i**2 + r*i**3 + 1/48*i**4 + 0 + i. Determine a, given that m(a) = 0.
-1, 0
Let a(d) be the third derivative of -d**6/1620 - d**5/540 - d**3/2 - 2*d**2. Let i(c) be the first derivative of a(c). Find s, given that i(s) = 0.
-1, 0
Solve -1/2*n + 1/2*n**2 - 1 = 0.
-1, 2
Let b(w) be the first derivative of 9*w**4/4 + 14*w**3 + 12*w**2 - 63. Factor b(c).
3*c*(c + 4)*(3*c + 2)
Let k(r) be the third derivative of r**8/560 + 4*r**7/175 + 3*r**6/40 - 2*r**5/25 - 2*r**4/5 + 5*r**2. Determine g, given that k(g) = 0.
-4, -1, 0, 1
Factor 3*n - n**3 + n**2 + n**2 - 6 - 2*n**3 + 4*n**2.
-3*(n - 2)*(n - 1)*(n + 1)
Let t(y) = -23*y**2 + 14*y - 11. Let z(s) = 8*s**2 - 5*s + 4. Let h = 11 - 0. Let b(a) = h*z(a) + 4*t(a). Solve b(d) = 0 for d.
0, 1/4
Let b = -148 + 150. Let w(s) be the third derivative of 1/120*s**5 - 1/24*s**4 + 0 + 1/240*s**6 - 2*s**b + 0*s + 0*s**3. Factor w(m).
m*(m - 1)*(m + 2)/2
Let s(u) be the second derivative of -u**9/2520 - u**8/960 + u**6/720 + u**4/6 + 4*u. Let t(y) be the third derivative of s(y). Factor t(i).
-i*(i + 1)*(2*i + 1)*(3*i - 1)
Let f(c) = 23*c**3 - 18*c**2 + 6*c - 2. Let q(s) = 45*s**3 - 35*s**2 + 13*s - 5. Let j(i) = 2*i. Let k be j(-1). Let w(p) = k*q(p) + 5*f(p). Factor w(b).
b*(5*b - 2)**2
Let l(h) be the first derivative of -h**3/2 + h**2 - h/2 + 11. Factor l(s).
-(s - 1)*(3*s - 1)/2
Let m(q) = -q**2 - q. Let j(d) = -2*d**3 - 11*d**2 - 9*d. Let p(y) = -2*j(y) + 18*m(y). Factor p(u).
4*u**2*(u + 1)
Let m(b) = b**3 + 4*b**2 + 2*b + 1. Let l be m(-3). Let y be (11 + -11)*(-2)/l. Let -2*p + 2/3*p**3 + 4/3 + y*p**2 = 0. What is p?
-2, 1
Let j be ((-2)/20)/(5/(-20)). Let x(n) be the second derivative of 7/10*n**4 + n + j*n**5 + 4/5*n**2 + 0 - 1/3*n**6 - 4/3*n**3. Determine h so that x(h) = 0.
-1, 2/5, 1
What is s in -2/7*s - 8/7*s**2 + 10/7*s**3 + 0 = 0?
-1/5, 0, 1
Let k(l) be the second derivative of l**5/170 - 2*l**4/51 - l**3/51 + 4*l**2/17 + 3*l. Factor k(r).
2*(r - 4)*(r - 1)*(r + 1)/17
Suppose -w = -1 - 2. Suppose w = -0*h + h. Find v such that -2/3*v**h + 1/3*v**4 + 0*v + 1/3*v**2 + 0 = 0.
0, 1
Let b(i) be the third derivative of 0*i - 1/12*i**4 + 0 + 1/90*i**5 + 2/9*i**3 + 3*i**2. Factor b(p).
2*(p - 2)*(p - 1)/3
Factor -24*l**3 - 2*l**4 + 5*l + 30*l**2 - 41*l**2 + 72 + 19*l - 59*l**2.
-2*(l - 1)*(l + 1)*(l + 6)**2
Let r = 13/18 + -1/18. Factor -4/3*j + 0 - r*j**2.
-2*j*(j + 2)/3
Suppose 4*c = -2*i - 8, 5*c + 10 + 1 = -2*i. Find a such that a**2 - 3*a**i - a - a + 4 = 0.
-2, 1
Let f be (-45)/(-18)*(-6)/(-5). Let o(a) be the second derivative of a - a**2 - 1/6*a**4 - 2/3*a**f + 0. Factor o(k).
-2*(k + 1)**2
Let c(g) be the second derivative of 3*g**5/5 + 5*g**4/4 + g**3/2 - 4*g. Factor c(u).
3*u*(u + 1)*(4*u + 1)
Suppose 2/13*p**4 - 8/13*p**3 + 0*p + 0 + 8/13*p**2 = 0. What is p?
0, 2
Let v(h) be the third derivative of -h**5/105 - 4*h**4/21 - 2*h**3/3 + 12*h**2. Factor v(o).
-4*(o + 1)*(o + 7)/7
Let x(f) = f**3 + 7*f**2 - f - 5. Let v be 33/(-6) - 3/2. Let i be x(v). Factor 1/4*j**3 + 0 + 0*j + 0*j**i.
j**3/4
Let y(v) = -1803*v**2 - 123*v - 8. Let s(a) = 1804*a**2 + 124*a + 10. Let p(d) = 3*s(d) + 4*y(d). Let p(z) = 0. What is z?
-1/30
Let p(d) be the second derivative of d**7/84 - d**6/20 - d**5/8 + d**4/8 + d**3/3 - 10*d. Solve p(n) = 0.
-1, 0, 1, 4
Let w(h) = -2*h + 5. Let u be w(5). Let s be ((-10)/(-3))/u*-3. Factor 8/11*p + 0 - 56/11*p**s + 98/11*p**3.
2*p*(7*p - 2)**2/11
Let i be 0*(-1 - -2)/(-1). Let x(l) be the second derivative of i*l**3 + 0*l**2 + 0 + 2*l + 1/30*l**4. Factor x(j).
2*j**2/5
Let y(q) = -q**3 - q**2 + q. Let u be y(0). Solve -6*o**3 + 6*o**4 + o**5 + 3*o**5 + u - 8*o**2 + 2 + 2*o**3 = 0 for o.
-1, 1/2, 1
Find a such that 8*a**2 + 8*a**3 + 2*a**4 + 934*a - 934*a = 0.
-2, 0
Let j(r) be the second derivative of r**4/12 - r**3/3 + r**2/2 + r. Determine s, given that j(s) = 0.
1
Factor -21/5*r**2 - 24/5*r**3 + 0 - 9/5*r**4 - 6/5*r.
-3*r*(r + 1)**2*(3*r + 2)/5
Suppose -65 + 89 = 12*x. Suppose 3*c = -0*c - 4*s, 3*s = 4*c - 25. Factor -1/2*l**x - 3/2*l**3 - 1/2*l**5 - 3/2*l**c + 0*l + 0.
-l**2*(l + 1)**3/2
Let q(d) be the first derivative of 4*d**5/5 - d**4 - 4*d**3/3 + 2*d**2 - 8. Solve q(z) = 0.
-1, 0, 1
Let n(g) = -4*g**3 + 15*g**2 + 5*g - 16. Let i(r) = r**3 - 4*r**2 - r + 4. Let a(p) = -22*i(p) - 6*n(p). Let a(o) = 0. Calculate o.
-2, 1, 2
Let b(p) be the first derivative of -9*p**7/14 - 3*p**6/20 + 57*p**5/40 - p**3 - 4*p - 2. Let o(h) be the first derivative of b(h). Let o(v) = 0. What is v?
-1, -1/2, 0, 2/3
Suppose 2*d - 5 + 1 = 5*m, m + 2 = d. Factor -2/7 - 4/7*a - 2/7*a**d.
-2*(a + 1)**2/7
Factor -28/9*i**2 + 50/9*i + 2/9*i**3 - 8/3.
2*(i - 12)*(i - 1)**2/9
Let h be (81/(-72) + 0 + 1)*-6. Factor -2*v + 9/4*v**3 - 1 + h*v**2.
(v - 1)*(3*v + 2)**2/4
Solve 33*w**2 - 33*w**4 + 0*w**3 + 9*w**3 + 4*w**5 - 18*w - w**5 + 6*w**5 = 0 for w.
-1, 0, 2/3, 1, 3
Let y be -32 + (-3 - -4 - 0). Let f = y + 94/3. Factor 2/3*b + f*b**2 + 1/3.
(b + 1)**2/3
Let y be ((-18)/63)/(1 + -2). What is m in 2/7*m**3 - 2/7*m + y - 2/7*m**2 = 0?
-1, 1
Let u = 98400 + -489547/5. Let x = u + -489. What is p in -x - 6/5*p**2 - 16/5*p = 0?
-2, -2/3
Factor -5*o + 20*o**2 + 8*o + 4*o**2 - 21*o**3 + 9*o - 15*o**4.
-3*o*(o - 1)*(o + 2)*(5*o + 2)
Let g = 38 + -38