Factor 2*p - 2/3 - 2*p**2 + 2/3*p**x.
2*(p - 1)**3/3
Let o(s) be the first derivative of -3*s**5/5 - 1. Suppose o(n) = 0. Calculate n.
0
Let l(d) = 5*d**4 - 19*d**3 + 51*d**2 - 64*d + 29. Let y(o) = -14*o**4 + 56*o**3 - 152*o**2 + 192*o - 88. Let m(n) = 8*l(n) + 3*y(n). Factor m(r).
-2*(r - 2)**4
Suppose -12/5*j + 3/5*j**3 - 3/5*j**2 + 12/5 = 0. What is j?
-2, 1, 2
Let y(a) be the first derivative of -5*a**5 - 5*a**4/2 + 40*a**3/3 + 5*a**2 - 15*a - 5. Let y(v) = 0. What is v?
-1, 3/5, 1
Let p be (9 - 1)/((-12)/(-330)). Let x be ((-32)/p)/((-4)/10). Factor 2/11*g**3 - 6/11*g + 0*g**2 + x.
2*(g - 1)**2*(g + 2)/11
Suppose -4*p = -6*p + 4*j + 16, 3*j = 3*p - 18. Let n(u) be the second derivative of 0*u**2 - 1/42*u**p - u + 1/21*u**3 + 0. Factor n(y).
-2*y*(y - 1)/7
Suppose 18/5*z**2 - 9/5*z**4 - 3/5*z**5 - 9/5 + 6/5*z**3 - 3/5*z = 0. Calculate z.
-3, -1, 1
Let u(s) be the first derivative of 15*s**4/4 - 35*s**3/3 - 45*s**2 - 40*s + 12. Find j such that u(j) = 0.
-1, -2/3, 4
Let c(v) be the first derivative of 5*v**4/12 + 40*v**3/9 + 35*v**2/6 - 41. Determine k, given that c(k) = 0.
-7, -1, 0
Suppose -17 = 5*i - 4*a, -4*a + 4 = 4*i - 4. Let u be -1 - (16/(-6) - i). Factor o**3 + 0 + 0*o**2 - 1/3*o + u*o**4.
o*(o + 1)**2*(2*o - 1)/3
Let c(q) = -q**2 + 8*q - 2. Let u be c(3). Suppose -4*b - 1 + u = 0. Find f such that -2*f**2 + 0*f**3 - b + 4*f + 4*f**5 + f**4 + 4 - 8*f**3 = 0.
-1, -1/4, 1
Let s(n) be the first derivative of n**5/240 - n**4/16 + 3*n**3/8 - 5*n**2/2 - 4. Let a(j) be the second derivative of s(j). Find g, given that a(g) = 0.
3
Factor -112*s**3 + 302*s**4 + 5*s**2 + 11*s**2 - 106*s**4.
4*s**2*(7*s - 2)**2
Suppose -1 - 3 = -2*n. Factor 4*x**3 - n*x**4 - 3*x**2 + 3*x**4 + 2 - x - 3*x**3.
(x - 1)**2*(x + 1)*(x + 2)
Let p(w) = -2*w**2 + 7*w + 6. Let n(l) = -l**2 + 6*l + 5. Let q(g) = 6*n(g) - 4*p(g). Factor q(b).
2*(b + 1)*(b + 3)
Let g be (-1 - -6) + -1 + -1. Factor -1 + g - 10*j + 8*j**2 - 2*j**3 + 2.
-2*(j - 2)*(j - 1)**2
Let c = -23219 - -324885/14. Let n = c + 27/2. Let 2/7 + 2/7*t**2 - n*t = 0. Calculate t.
1
Let k(o) be the first derivative of -13*o**3/3 - o**2/2 - 4. Let d(x) = 4*x**2. Let p(a) = 7*d(a) + 2*k(a). Factor p(i).
2*i*(i - 1)
Let c(m) be the first derivative of -m**6/630 - m**5/105 + 10*m**3/3 + 6. Let l(u) be the third derivative of c(u). Factor l(o).
-4*o*(o + 2)/7
Find b, given that 0*b + 3/2*b**4 + b**3 + 0 + 1/2*b**5 + 0*b**2 = 0.
-2, -1, 0
Let m(l) be the third derivative of l**5/20 - l**4/4 + l**3/2 + 14*l**2. Let m(w) = 0. What is w?
1
Let o(u) be the third derivative of u**6/720 + u**5/72 + 7*u**4/144 + u**3/12 + 3*u**2. Factor o(l).
(l + 1)**2*(l + 3)/6
Let l(f) be the third derivative of -f**8/672 - f**7/140 + f**6/240 + 7*f**5/120 - f**3/3 - 6*f**2. Find c, given that l(c) = 0.
-2, -1, 1
Let x(a) = -10*a**3 - 2*a - 1. Let i be x(-1). Factor -19*q**2 + 5 - 9*q - i + 16*q**2.
-3*(q + 1)*(q + 2)
Let y be -7 - -6 - -2 - 6/10. Determine p so that 0 - 1/5*p**2 + y*p = 0.
0, 2
Let j(c) be the first derivative of -c**5 - 5*c**4/2 + 35*c**3/3 - 10*c**2 + 21. Factor j(o).
-5*o*(o - 1)**2*(o + 4)
Let b(t) be the first derivative of -2*t**6/15 - 3*t**5/10 + t**3/3 - 4*t + 4. Let q(v) be the first derivative of b(v). Factor q(n).
-2*n*(n + 1)**2*(2*n - 1)
Suppose j + v - 4 = 6, 0 = 3*j - 3*v. Factor -4*l**3 + 10*l**4 + 0*l**3 + 17*l**4 - 21*l**j - 2*l**3.
-3*l**3*(l - 1)*(7*l - 2)
Determine f, given that -29*f**5 - 4*f + 16*f**5 + 9*f**5 + 8*f**3 = 0.
-1, 0, 1
Suppose 3*h + 2 = 11. Let p(a) = 2*a - 4. Let r be p(h). Factor -1/4*d**r + 0 + 0*d.
-d**2/4
Let c(v) be the first derivative of -4*v**3/3 + 8*v**2 + 28. Factor c(x).
-4*x*(x - 4)
Let u be (-2)/(-11) - (-38)/(-330). Let q(a) be the second derivative of -a + u*a**4 + 0*a**2 + 0 + 1/50*a**5 + 1/15*a**3. Factor q(i).
2*i*(i + 1)**2/5
Suppose 0 = r - 0 - 5. Determine t, given that 2*t**3 + t**3 + 2*t**4 + 4*t**3 - r*t**3 = 0.
-1, 0
Let k(a) = a**4 + a**3 - a**2 - 1. Let b(m) = -7*m**4 - 10*m**3 + 3*m**2 + 4*m + 10. Let l(q) = -b(q) - 6*k(q). Let l(t) = 0. Calculate t.
-2, -1, 1
Determine a, given that -2/3*a**2 + 2/3*a**4 + 0*a**3 + 0*a + 0 = 0.
-1, 0, 1
Let z be 0 + ((-10)/15)/(-1). Let o be ((-2)/(-3))/((-3)/(-3)). Factor 0 - o*i**4 + 0*i + 0*i**3 - z*i**5 + 0*i**2.
-2*i**4*(i + 1)/3
Let w be ((-6)/2)/(-1 + 0). Factor -3*x + 21*x**3 - 8*x**w - 2 - 12*x**3.
(x - 2)*(x + 1)**2
Suppose u + 11 = 5*v + 1, -u = 5*v - 20. Let k(f) be the third derivative of -1/120*f**6 - 1/20*f**u + 0*f**4 + 0 + 2/3*f**3 - f**2 + 0*f. Factor k(a).
-(a - 1)*(a + 2)**2
Let 1/2 + 3/4*q + 1/4*q**2 = 0. What is q?
-2, -1
Find k, given that -2/13*k**5 + 0*k**2 + 0*k**3 + 0 + 0*k + 2/13*k**4 = 0.
0, 1
Let y be (-9)/((-486)/(-48))*(1 + -7). Factor -8/3 + 14*p**2 - y*p.
2*(3*p - 2)*(7*p + 2)/3
Let f be 15 + 3*(-5)/15. Let p be 3 - (-4)/f - 3. Determine l, given that 4/7 - 2/7*l**2 + p*l = 0.
-1, 2
Factor -3*s**2 - 5*s + s**2 + 5*s.
-2*s**2
Factor -9*t**3 + 5*t**3 + 6*t**3 - 14*t**2.
2*t**2*(t - 7)
Suppose -10 = -3*h - 2*h. Determine c, given that 58*c**4 + 68*c**4 + 2 + 36*c**h - 2 - 109*c**3 - 49*c**5 - 4*c = 0.
0, 2/7, 1
Let b(c) be the first derivative of -c**6/30 - c**5/6 - c**4/3 - c**3/3 - 2*c**2 + 4. Let z(l) be the second derivative of b(l). Factor z(o).
-2*(o + 1)**2*(2*o + 1)
Let h(x) = 31*x**3 - 154*x**2 + 40*x + 4. Let k(l) = l**3 + l**2 - 1. Let a(w) = h(w) + 4*k(w). What is p in a(p) = 0?
0, 2/7, 4
Let d(u) be the second derivative of u**6/90 - u**5/18 + u**4/9 - u**3/9 - u**2 + u. Let c(f) be the first derivative of d(f). Suppose c(x) = 0. Calculate x.
1/2, 1
Factor -4*p**4 + 64*p**2 - 16*p - 16 - 21*p**2 - 31*p**2 + 8*p**3.
-4*(p - 2)**2*(p + 1)**2
Let f = 10/17 + -33/85. Find m such that -f*m**3 + 1/5*m**4 + 1/5*m - 1/5*m**2 + 0 = 0.
-1, 0, 1
Let x(c) = -4*c**3 + 4*c**2 - 4*c + 2. Let v(u) = -u**4 + u**3 - u**2 - u + 1. Let f be 2/(-2 + 3) - 3. Let b(p) = f*x(p) + 2*v(p). Factor b(a).
-2*a*(a - 1)**3
Let s(x) = 10*x**3 - 17*x**2 + 5*x - 2. Let a(d) = 30*d**3 - 52*d**2 + 15*d - 7. Let g(i) = -2*a(i) + 7*s(i). Suppose g(f) = 0. Calculate f.
0, 1/2, 1
Let f(b) be the third derivative of 3/4*b**4 - 2/3*b**3 - 7/30*b**5 - 2*b**2 + 0*b + 0. Factor f(g).
-2*(g - 1)*(7*g - 2)
Let w(g) be the second derivative of -g**2 + 3*g + 0 - 1/6*g**4 - 2/3*g**3. Determine f so that w(f) = 0.
-1
Determine g so that 4*g**4 - 4*g**2 - 3*g + 6*g - 3*g = 0.
-1, 0, 1
Suppose l - 5 = -b - 13, l + 4*b + 23 = 0. Let i be (-3)/(l/4) - 1. Factor s**2 + 8*s - i*s**2 + 3 - 11.
-2*(s - 2)**2
Let s(j) be the second derivative of 2*j**6/15 - 4*j**5/5 + 2*j**4 - 8*j**3/3 + 2*j**2 - 11*j. Determine i, given that s(i) = 0.
1
Let q be 4/(-24)*-3*-2. Let c be -1 + q + (2 - 0). Factor -1/2*u + c - 1/2*u**2.
-u*(u + 1)/2
Find k such that -19/4*k**4 + 7/4*k**5 + 0 - 1/4*k**2 - 1/2*k + 15/4*k**3 = 0.
-2/7, 0, 1
Let h(u) be the third derivative of -u**9/30240 - u**8/2688 - u**7/630 - u**6/360 + u**4/12 - 2*u**2. Let m(k) be the second derivative of h(k). Factor m(f).
-f*(f + 1)*(f + 2)**2/2
Let y(b) be the second derivative of -b**6/30 + 3*b**5/20 - b**4/4 + b**3/6 - 28*b. Factor y(j).
-j*(j - 1)**3
Let w be (4 + -6)*2/(-36). Let f(q) be the second derivative of 1/18*q**4 - 1/30*q**5 + 0 - 1/45*q**6 + 0*q**2 + 2*q + w*q**3. Factor f(g).
-2*g*(g - 1)*(g + 1)**2/3
Let n(r) = r**2 + 2*r - 1. Let x be n(-3). Let z = 1 + x. Suppose -6 + 4*g + 2 + z - 4*g**2 = 0. What is g?
1/2
Let u(m) be the third derivative of m**6/660 + m**5/110 - m**4/33 + 6*m**2. Factor u(h).
2*h*(h - 1)*(h + 4)/11
Let u = 3/41 + 26/205. Factor -u*h**3 - 8/5*h + h**2 + 4/5.
-(h - 2)**2*(h - 1)/5
Factor 3/4*u**5 - 3/4*u + 0*u**3 + 3/2*u**4 - 3/2*u**2 + 0.
3*u*(u - 1)*(u + 1)**3/4
Let c = 559/2 - 33539/120. Let a(o) be the third derivative of 0*o + 0 + 0*o**4 + c*o**6 - 2*o**2 + 0*o**5 + 1/210*o**7 + 0*o**3. Let a(y) = 0. What is y?
-1, 0
Let y be ((-3)/4)/((-369)/984). Suppose 0*a - 2 + 1/2*a**y = 0. Calculate a.
-2, 2
Suppose -3*x + 8 = -1. Let m(b) be the first derivative of 3/4*b**4 - 1/3*b**3 - x - b**2 + 0*b. Determine d so that m(d) = 0.
-2/3, 0, 1
Solve 0 + 1/5*s**3 + s**2 - s**4 - 3/5*s**5 + 2/5*s = 0 for s.
-1, -2/3, 0, 1
Let l(u) = 2*u + 52. Let b(t) = t + 35. Let a(m) = -8*b(m) + 5*l(m). Let f be a(10). Factor f + 6/5*r**2 + 2/5*r**4 + 6/5*r**3 +