 - 3*c + 2. Let s(b) be the first derivative of l(b). Factor s(j).
2*(j + 1)*(j + 2)/5
Let x be 7/(-10)*(-17)/119. Let v(s) be the first derivative of x*s**4 + 0*s**2 - 2/15*s**3 + 0*s - 3. Factor v(o).
2*o**2*(o - 1)/5
Suppose 0*x + 289 = -3*x - 5*n, 15 = -3*n. Let k = 529/6 + x. Factor 0*s - k*s**2 + 0.
-s**2/6
Let c(p) = 5*p**3 + 5*p**2 + p + 1. Let u(j) = -4*j**3 + j. Let t be u(1). Let o(f) = 6*f**3 + 5*f**2 + 1. Let z(d) = t*o(d) + 4*c(d). Factor z(i).
(i + 1)**2*(2*i + 1)
Let m(v) be the third derivative of v**7/420 - v**6/90 - v**5/60 + v**4/6 + v**3/2 - 2*v**2. Let a(z) be the first derivative of m(z). Factor a(b).
2*(b - 2)*(b - 1)*(b + 1)
Let i(o) be the second derivative of -o**7/231 + o**6/165 - 16*o. Factor i(y).
-2*y**4*(y - 1)/11
Suppose 2*t = -5*p + 12, -4*p = -0*p - 3*t - 5. Solve -18*r + p + 81/2*r**2 = 0 for r.
2/9
Let u = 83 - 78. Let n(o) be the third derivative of 0*o**3 + 0*o**4 + 0*o + 3*o**2 + 1/80*o**u + 0. Let n(c) = 0. What is c?
0
Suppose -35*s = -103*s. Factor 0*r**2 + 0 - 1/3*r**3 + s*r.
-r**3/3
Let s = 9 + -8. Let f be s*(-3 + 39/12). Factor 0 + 0*w - f*w**2 + 1/4*w**3.
w**2*(w - 1)/4
Let d = 7 - 3. Let f(m) = m**2 + 2*m - 3. Let h be f(2). Find o such that 0 + 2/9*o - 8/9*o**2 - 2/3*o**h + 8/9*o**d + 4/9*o**3 = 0.
-1, 0, 1/3, 1
Let p(j) be the first derivative of -j**8/3360 - j**7/1680 + j**6/240 + j**5/240 - j**4/24 + j**3 - 3. Let s(u) be the third derivative of p(u). Factor s(f).
-(f - 1)**2*(f + 1)*(f + 2)/2
Let f be (-1 + -2)/(9/(-12)). Suppose -3*c + 2*s = 1, 5*s + 0*s = -f*c + 37. Factor 5 - 2*x + 2*x**3 - 3*x**2 + x**2 - c.
2*(x - 1)**2*(x + 1)
Suppose i + 3*u + 20 = -2*u, -2*u = 10. Suppose 3*q = -2*a + 10, -a = -4*q - 2*a + i. Find v such that -4/3*v + q*v**2 + 2/3*v**4 + 4/3*v**3 - 2/3 = 0.
-1, 1
Let m(p) = 25*p**2 + 561*p + 3036. Let g(f) = -5*f**2 - 112*f - 607. Let q(y) = -11*g(y) - 2*m(y). What is i in q(i) = 0?
-11
Let h(c) be the second derivative of c**6/120 - c**5/20 + c**4/8 - c**3/3 + 5*c. Let j(i) be the second derivative of h(i). Find u such that j(u) = 0.
1
Let z(a) = -a**2 + 4*a - 1. Let j be z(5). Let f be (-6)/(-9) + j/9. Factor 0*h - 1/2*h**4 + 1/2*h**2 + f + 0*h**3.
-h**2*(h - 1)*(h + 1)/2
Suppose -2*d = -3*a - 12, -2*d + d + 2*a + 7 = 0. Solve -2*u**3 - 8*u**2 + 0*u**d + 6*u - 16*u - 8 + 4 = 0 for u.
-2, -1
Factor 102*m**2 - 21*m**4 + 3*m**5 + 45*m**3 - 66*m**2 - 63*m**2.
3*m**2*(m - 3)**2*(m - 1)
Let q(g) = -2*g**4 + 27*g**3 - 16*g**2 - 27*g + 25. Let l = -4 + 11. Let i(p) = -p**4 + 18*p**3 - 11*p**2 - 18*p + 17. Let n(y) = l*i(y) - 5*q(y). Factor n(z).
3*(z - 2)*(z - 1)**2*(z + 1)
Let a be (-66)/759 - (-4)/46. Factor -2/5*u**3 + a + 2/5*u + 2/5*u**4 - 2/5*u**2.
2*u*(u - 1)**2*(u + 1)/5
Let a(i) be the third derivative of 4*i**7/35 + 7*i**6/30 - 22*i**5/15 - 14*i**4/3 - 16*i**3/3 - 10*i**2. Let a(r) = 0. Calculate r.
-2, -2/3, -1/2, 2
Suppose l - 17 = 5*j, -2*l + 0*l - 11 = 5*j. Determine f, given that 3*f**l - 3*f**2 - 3*f + f**3 + 4*f - 2*f**2 = 0.
0, 1
Let o(d) be the first derivative of -d**4/24 - d**3/9 - d**2/12 + 17. Factor o(n).
-n*(n + 1)**2/6
Let o be (1/4)/((-34)/(-204)). Find l, given that 0 + o*l**4 + 0*l**3 + 0*l**2 + 0*l = 0.
0
Factor 30/7*b**3 + 0*b - 12/7*b**2 + 6*b**4 + 0.
6*b**2*(b + 1)*(7*b - 2)/7
Suppose r + 2*r = 6. Factor 2 + k**r - 2*k**2 - 2.
-k**2
Factor -2/3*o**3 - 2/3*o**4 + 0 + 2/3*o + 2/3*o**2.
-2*o*(o - 1)*(o + 1)**2/3
Factor 1 - 8*x**2 - 9 + 11*x**2 + x**2 - 4*x.
4*(x - 2)*(x + 1)
Let t(r) be the second derivative of -2*r**6/15 - r**5 - 3*r**4 - 14*r**3/3 - 4*r**2 + 5*r. Factor t(s).
-4*(s + 1)**3*(s + 2)
Let x be (12/(-9))/(4/(-6)). Solve x*f**3 - 6*f**3 + 4*f**2 + 2*f**3 = 0 for f.
0, 2
Let y(o) be the first derivative of o**7/315 - o**6/60 + o**5/30 - o**4/36 - 3*o**2/2 - 1. Let j(f) be the second derivative of y(f). What is b in j(b) = 0?
0, 1
Let a(j) be the second derivative of j**7/10080 - j**6/1440 + j**4/3 - 4*j. Let w(g) be the third derivative of a(g). Find s, given that w(s) = 0.
0, 2
Let i(m) be the second derivative of 5*m**4/6 + m**3/3 + m**2/2 + m. Let n be i(-1). Find b such that -3*b + n*b**2 + 2 - 2*b**3 - 3*b - 3*b**2 = 0.
1
Let w = -6228/7 + 890. Factor 0 - 4/7*p + 6/7*p**2 - w*p**3.
-2*p*(p - 2)*(p - 1)/7
Factor -7*i**2 - 12*i**2 + 17*i**2 + 2*i**4.
2*i**2*(i - 1)*(i + 1)
Let y = -4 - -4. Suppose 4*u - 8 = 4*f, -f = -u - 4*f + 10. Suppose 3/2*r**2 - 3*r**3 + y + 0*r + 3/2*r**u = 0. Calculate r.
0, 1
Let h = 57 + -151/3. Factor -h*j**2 + 0 - 1/3*j**5 - 8/3*j - 7/3*j**4 - 6*j**3.
-j*(j + 1)*(j + 2)**3/3
Suppose -4*w + 7*u = 4*u + 4, 5*w = -u + 14. Find a, given that a**5 + 8*a**w - 6*a**2 - 4*a**2 + 5*a**3 - 4*a**4 = 0.
0, 1, 2
Let l(g) be the first derivative of 2 - 3/10*g**2 + 0*g + 2/5*g**3. Factor l(i).
3*i*(2*i - 1)/5
Suppose -2*u = -u - 7. Factor u*l**2 - 3*l**4 + l**3 + l**3 - 4*l**4 + 0*l**3 - 2*l.
-l*(l - 1)*(l + 1)*(7*l - 2)
Let l(x) be the third derivative of -2*x**7/105 + 4*x**5/15 - 10*x**2. Factor l(b).
-4*b**2*(b - 2)*(b + 2)
Let r(c) be the first derivative of -2*c**5/25 - c**4/2 - 2*c**3/5 + 9*c**2/5 + 4. Find n such that r(n) = 0.
-3, 0, 1
Suppose -f + 3*q = 3, 5*f + 2*q - 11 - 8 = 0. Factor 5*z**f - 3*z**2 - 4*z**3 - 2*z**3 - 2*z.
-z*(z + 1)*(z + 2)
Let z(m) = -m**4 + 12*m**3 + 5*m**2 - 18*m - 10. Let y(g) = -2*g**4 + 12*g**3 + 6*g**2 - 17*g - 9. Let a(x) = 6*y(x) - 5*z(x). Suppose a(h) = 0. What is h?
-1, -2/7, 1, 2
Let a(h) = 7*h**4 + 2*h**3 - 6*h**2 - 5*h - 9. Let u(z) = 6*z**4 + 2*z**3 - 6*z**2 - 6*z - 8. Let n(t) = 4*a(t) - 5*u(t). Factor n(g).
-2*(g - 2)*(g + 1)**3
Suppose 2*p = 3*p - 2. Solve 6*l**p - 2*l**4 - 6 + 4*l**3 + 8 - 2 = 0 for l.
-1, 0, 3
Determine i so that -5*i**2 - 2*i**2 - i**2 + 30*i + 5*i**2 - 27 = 0.
1, 9
Let 6/7*u**3 - 6/7*u + 26/7*u**2 - 16/7 - 10/7*u**4 = 0. What is u?
-1, 1, 8/5
Let b(k) be the second derivative of 0 + 0*k**2 - 1/10*k**5 + 5*k - 2/3*k**3 + 1/2*k**4. Factor b(l).
-2*l*(l - 2)*(l - 1)
Let 6/11*t - 8/11*t**2 + 2/11*t**3 + 0 = 0. Calculate t.
0, 1, 3
Let 12/5*q**3 - 4/5*q**4 + 4/5*q - 12/5*q**2 + 0 = 0. What is q?
0, 1
Let a(w) be the second derivative of -w**6/225 - w**5/150 + w**4/90 + w**3/45 - 17*w. Factor a(u).
-2*u*(u - 1)*(u + 1)**2/15
Let k(f) be the second derivative of -f**8/5880 + f**7/2940 + f**6/1260 - f**5/420 + f**3/2 + 4*f. Let t(i) be the second derivative of k(i). Factor t(z).
-2*z*(z - 1)**2*(z + 1)/7
Let y(w) be the first derivative of w**4 + 4*w**3/3 - 4*w**2 + 24. Factor y(v).
4*v*(v - 1)*(v + 2)
Let g be 4/(-3)*(-6)/2. Suppose 2*z + 9 = g*y + 3*z, 0 = 4*y + 5*z - 13. Factor 2*l**5 + l**4 - l**3 - y*l**4 - l**5 + l**2.
l**2*(l - 1)**2*(l + 1)
Factor 2/3*i**2 + 0 + 4/9*i + 2/9*i**3.
2*i*(i + 1)*(i + 2)/9
Let d(l) be the third derivative of 0*l + 1/96*l**4 + 1/210*l**7 + 1/1344*l**8 + 1/80*l**6 + 0 + 0*l**3 + 1/60*l**5 - 2*l**2. Solve d(m) = 0 for m.
-1, 0
Let t = -503/60 - -42/5. Let p(z) be the third derivative of 1/24*z**4 + 2*z**2 + 0*z**3 + 0*z + t*z**5 + 0. Determine y so that p(y) = 0.
-1, 0
Let d = -6 - -9. Let t(o) be the second derivative of -5/6*o**4 - 3/5*o**5 + 0 + 0*o**2 + 2*o + 2/3*o**d + 3/5*o**6. Suppose t(j) = 0. What is j?
-2/3, 0, 1/3, 1
Let o be 1*(-2)/6*-18. Find u, given that 5*u**2 + 0*u**3 - 3*u**3 + 7*u**2 + o*u + 6 - 21*u = 0.
1, 2
Factor -36/7*o + 24/7*o**2 + 16/7 - 4/7*o**3.
-4*(o - 4)*(o - 1)**2/7
Let x(w) be the first derivative of -2/3*w**3 + 0*w - w**2 - 2. Factor x(m).
-2*m*(m + 1)
Let l(s) = 6*s**2 + 5*s + 2. Let k be l(-3). Suppose 4*v + 5*f - k = 0, -13 = -3*f + 2. Factor 0 + 1/2*d**v - 1/2*d - 1/2*d**2 + 1/2*d**3.
d*(d - 1)*(d + 1)**2/2
Let a(w) be the second derivative of w**5/70 - w**4/6 + 16*w**3/21 - 12*w**2/7 + 18*w. Let a(h) = 0. What is h?
2, 3
Let u be (-12)/(-2)*24/(-16). Let v = u - -11. Determine h so that 0 - 2/9*h**v - 2/9*h**5 + 2/9*h**3 + 2/9*h**4 + 0*h = 0.
-1, 0, 1
Factor 1/6*k**2 + 5/6*k + 2/3.
(k + 1)*(k + 4)/6
Let l(w) = 0*w + w**2 - 7*w**2 + 5*w + 2 + 3*w**3 - 2*w**3. Let t be l(5). Factor n**4 + 2*n**4 + 4*n**3 + n**t + 2*n**4 + 2*n**5.
n**2*(n + 1)**2*(2*n + 1)
Let y(x) be the first derivative of -x**5 + 5*x**4/2 + 20*x**3/3 - 5*x**2 - 15*x - 17. Factor y(b).
-5*(b - 3)*(b - 1)*(b + 1)**2
Let s(t) be the third derivative of t**5/60 - t**4/6 + 58*t**2. Solve s(a) = 0.
0, 4
Let i be (4/(