+ 17*j. Let q(u) = 0. What is u?
-1/4, 1/2, 2
Factor 0 - 2/7*s - 2/7*s**2.
-2*s*(s + 1)/7
Let w(x) be the second derivative of x**7/1260 + x**6/180 + x**5/60 - x**4/12 - 3*x. Let g(m) be the third derivative of w(m). Factor g(o).
2*(o + 1)**2
Let h be (-4)/(-10) - (-32)/20. Let k(a) = 2*a - 4. Let f be k(3). Factor 1 - t**f + 2 - h.
-(t - 1)*(t + 1)
Let o(x) be the second derivative of 3*x**5/2 - 25*x**4/12 - 5*x**3/2 + 5*x**2 - 8*x. Find k, given that o(k) = 0.
-2/3, 1/2, 1
Let v(i) = -5*i**3 + 20*i**2 - 34*i + 24. Let n(p) = -11*p**3 + 41*p**2 - 67*p + 48. Let a(q) = 2*n(q) - 5*v(q). Factor a(y).
3*(y - 2)**3
Let p(s) be the second derivative of -s**5/4 + 5*s**4/12 + 5*s**3/6 - 5*s**2/2 - 10*s. Find b such that p(b) = 0.
-1, 1
Let d be 3*(-8)/144*243/(-6). Let 9/2*v**2 - 3/4 - 15/2*v**3 + 9/4*v - d*v**5 - 63/4*v**4 = 0. Calculate v.
-1, 1/3
Let k(r) = r**3 + 7*r + 5. Let q(a) = -a**3 - a**2 - 8*a - 5. Let y(l) = 3*k(l) + 2*q(l). Let w(u) = 2*u**2 - 4*u - 4. Let n(x) = 3*w(x) + 2*y(x). Factor n(b).
2*(b - 1)*(b + 1)**2
Let i(p) be the first derivative of -p**4/8 + p**2/4 + 5. Factor i(j).
-j*(j - 1)*(j + 1)/2
Let a(p) be the third derivative of -p**6/8 + p**5/12 + 5*p**4/12 - 29*p**2. Factor a(g).
-5*g*(g - 1)*(3*g + 2)
Let 20/3*n**2 - 4/3*n**5 + 0*n + 0 - 20/3*n**4 + 4/3*n**3 = 0. What is n?
-5, -1, 0, 1
Let h = 5 + -3. Suppose 8*w - 262 + 238 = 0. Find r, given that 0 - 2/3*r**w + 0*r**h + 2/3*r = 0.
-1, 0, 1
Suppose 1/2 - 11/6*p - 2/3*p**2 = 0. Calculate p.
-3, 1/4
Let k = 11 - 19. Let u(h) = h**3 + 8*h**2 - h - 5. Let b be u(k). Factor -r**5 + 3*r**b - 5*r**3 + 3*r**3.
-r**3*(r - 1)*(r + 1)
Suppose -4 = 4*l - 0*l. Let w = l - -3. Factor 0*q + 2/7*q**3 + 0 + 2/7*q**w.
2*q**2*(q + 1)/7
Let y(l) be the first derivative of l**3 - 12*l - 8. Suppose y(n) = 0. What is n?
-2, 2
Let r(k) = -k**3 - 4*k**2 - 2*k - 4. Let p be r(-4). Suppose 3*x - 10 = -4*l + p*x, l + 2*x + 2 = 0. Suppose -4*v + 2 + 3*v**l + 0 - v**2 = 0. What is v?
1
Let f = 9 + -6. Factor -6*n**3 - 29*n + 9*n**2 + f*n**4 + 26*n - 3*n**3.
3*n*(n - 1)**3
Let p(n) = 2*n + 10*n + 4 + 2*n**3 - 3 - 6*n. Let c(a) = -15*a - a**3 + 10*a**3 + 5 + 40*a. Let m(j) = -6*c(j) + 26*p(j). Factor m(r).
-2*(r - 1)**2*(r + 2)
Let l(n) be the third derivative of 5*n**2 + 1/12*n**3 + 0*n - 1/840*n**7 - 1/240*n**5 + 1/160*n**6 - 1/32*n**4 + 0. Factor l(s).
-(s - 2)*(s - 1)**2*(s + 1)/4
Let h(w) = -w**3 + 10*w**2 + w - 9. Let c be h(10). Let i be -3*((-5)/3)/c. Determine x so that 10/7*x**4 - 6/7*x**i - 2/7*x**2 + 0 + 0*x - 2/7*x**3 = 0.
-1/3, 0, 1
Let k(h) be the second derivative of h**4/4 + 2*h**3 + 9*h**2/2 + 11*h - 2. Let k(v) = 0. Calculate v.
-3, -1
Let p(m) be the second derivative of m**4/12 + m**3/3 + 3*m. Factor p(y).
y*(y + 2)
Suppose p = 4*g - 5, -5*g + g - 4 = -4*p. Factor -4/5*h - g*h**2 + 0.
-2*h*(5*h + 2)/5
Let n be (18/(-27))/((-2)/(-3)). Let r be -3*(5/(-2) - n). Factor -1/2 - 3*z - 2*z**3 - r*z**2.
-(z + 1)**2*(4*z + 1)/2
Find c such that 0*c + 80 - 107 + 3*c**3 + 9*c + 15*c**2 = 0.
-3, 1
Let o be 22/4 - (-1)/2. Let f = o + 1. Find m such that f*m - 2*m**2 + 2 - 7*m = 0.
-1, 1
Let d = -1/138 - -123/46. Factor -d*o**2 + 2/3 + 5/3*o**3 + 1/3*o.
(o - 1)**2*(5*o + 2)/3
Let y(n) be the third derivative of n**5/60 - n**4/4 - 5*n**3/6 - n**2. Let s be y(7). Determine l, given that 1 - l**2 + 2*l + 3*l**2 - l**s = 0.
-1
Let d(u) be the third derivative of u**6/8 - u**5/10 - 6*u**2. Determine k, given that d(k) = 0.
0, 2/5
Let g(o) = 21*o**3 - 35*o**2 + 13*o + 7. Let i(u) = -22*u**3 + 36*u**2 - 14*u - 8. Let b = 4 + -7. Let r(k) = b*i(k) - 4*g(k). Let r(x) = 0. What is x?
-2/9, 1
Factor -6*n**2 + 38*n**3 - 50*n**3 + 54*n + 6*n**2 - 9*n**2 + 3*n**4.
3*n*(n - 3)**2*(n + 2)
Let h be (-108)/329 - (-4)/14. Let o = 137/94 - h. What is j in j**2 - o*j + 1/2 = 0?
1/2, 1
Let y(k) be the third derivative of -1/735*k**7 - 1/21*k**3 + 0 + 1/84*k**4 + 0*k + 1/105*k**5 + 5*k**2 + 1/1176*k**8 - 1/210*k**6. Factor y(p).
2*(p - 1)**3*(p + 1)**2/7
Let p = 119 - 593/5. Factor -14/5*o**2 - p + 6/5*o**3 + 2*o.
2*(o - 1)**2*(3*o - 1)/5
Let s(q) = 55*q**5 - 30*q**4 - 25*q**3. Let k(i) = 9*i**5 - 5*i**4 - 4*i**3. Let a(z) = -25*k(z) + 4*s(z). Factor a(j).
-5*j**4*(j - 1)
Let z(g) = 21*g**4 - 4*g**3 + 5*g**2 - 5*g - 5. Let b(h) = -32*h**4 + 6*h**3 - 8*h**2 + 8*h + 8. Let a(r) = -5*b(r) - 8*z(r). Factor a(m).
-2*m**3*(4*m - 1)
Let t = 17 - 15. Find z, given that 2*z**4 + 9*z**3 + 2*z**t - z**3 + 3*z**4 + 2*z**2 + z**5 = 0.
-2, -1, 0
Let a(g) be the third derivative of -g**7/210 - g**6/120 + g**5/30 + 3*g**2. Solve a(z) = 0.
-2, 0, 1
Let j(u) be the first derivative of -2/3*u - 8 + 7/6*u**2 + 0*u**3 - 3/4*u**4. Factor j(s).
-(s + 1)*(3*s - 2)*(3*s - 1)/3
Factor 3 - 48*l**2 + 25*l**2 + 6*l + 26*l**2.
3*(l + 1)**2
Let w(j) = 11*j**4 + 52*j**3 - 83*j**2 + 23*j. Let r(u) = 32*u**4 + 156*u**3 - 248*u**2 + 70*u. Let y(z) = 3*r(z) - 10*w(z). Let y(g) = 0. Calculate g.
-5, 0, 2/7, 1
Let i = 9 - 9. Let t(y) = -2*y. Let f be t(i). Factor 1/5*n**2 + f*n - 1/5.
(n - 1)*(n + 1)/5
Suppose -18*c + 19*c - 2 = 0. Let b(s) be the first derivative of 2/3*s**3 - 3 - 20/3*s**c - 98/15*s**5 + 35/3*s**4 - 8/3*s. Factor b(w).
-2*(w - 1)**2*(7*w + 2)**2/3
Let u = -63/2 - -32. Let q be (-2)/12*2/(4/(-18)). Suppose 0 + q*p**3 - 1/2*p**4 + u*p - 3/2*p**2 = 0. Calculate p.
0, 1
Suppose -4*m - 4*q = -3*q, -3*q = m. Let p be 8/6 - (m - -1). What is i in -p*i**5 + 0*i**3 + 2/3*i**4 + 0 + 1/3*i - 2/3*i**2 = 0?
-1, 0, 1
Let f = 2377/15580 - 2/779. Let n(v) be the second derivative of 0 - f*v**5 + 0*v**4 + 0*v**2 - 1/10*v**6 + 2*v + 0*v**3. Determine u, given that n(u) = 0.
-1, 0
Suppose -16*r + 21*r = 0. Let s(v) be the second derivative of -1/40*v**5 - 1/8*v**2 + 1/48*v**4 + 2*v + 1/12*v**3 + r. Suppose s(z) = 0. What is z?
-1, 1/2, 1
Suppose 6*i = 2*i + 12. Find p, given that i*p - 3/2 - 3/2*p**2 = 0.
1
Let v be (-1 - 5/(-7)) + 322/98. Let w(b) be the third derivative of 1/42*b**4 - 1/735*b**7 + 3*b**2 + 1/21*b**v + 0*b - 1/210*b**6 + 0*b**5 + 0. Factor w(m).
-2*(m - 1)*(m + 1)**3/7
Factor 15*y**4 - 6*y**2 + 14*y**4 + 18*y - 10*y**3 - 31*y**4.
-2*y*(y - 1)*(y + 3)**2
Let x = -10 + 14. Let n(j) = -5*j**4 + 11*j**3 - 11*j + 5. Let g(m) = -3*m**4 + 6*m**3 - 6*m + 3. Let t(o) = x*n(o) - 7*g(o). Suppose t(b) = 0. What is b?
-1, 1
Let -11*z**4 - 5*z + 5*z**5 + z**4 + 10*z**2 + 59 - 59 = 0. Calculate z.
-1, 0, 1
Suppose p = 14 - 9. Let m(r) be the third derivative of 0 - 1/300*r**6 - 1/50*r**p - r**2 + 4/15*r**3 + 0*r + 0*r**4. Suppose m(c) = 0. What is c?
-2, 1
Let m = 1 + 3. Factor 1/2*y**5 - y**3 + 4*y**2 + 1 - y**m - 7/2*y.
(y - 1)**4*(y + 2)/2
Let d(r) = 4*r + 2. Let l be d(1). Let x(i) be the third derivative of -1/14*i**7 - 11/120*i**l + 0 + 0*i**3 + 1/6*i**4 + 2/15*i**5 - i**2 + 0*i. Factor x(n).
-n*(n + 1)*(3*n - 2)*(5*n + 2)
Let i(h) be the third derivative of -h**7/420 + h**6/40 - 13*h**5/120 + h**4/4 - h**3/3 - 3*h**2. Find o such that i(o) = 0.
1, 2
Let k be (2 - 1636/(-20)) + -1. Let i = -82 + k. Factor 0 + 0*l + 0*l**2 + i*l**4 - 2/5*l**5 - 2/5*l**3.
-2*l**3*(l - 1)**2/5
Let m(u) = -6*u**3 - 17*u**2 - 7*u - 6. Let q(r) = 12*r**3 + 34*r**2 + 13*r + 13. Suppose -1 + 5 = v. Let j(s) = v*q(s) + 9*m(s). Factor j(w).
-(w + 2)*(2*w + 1)*(3*w + 1)
Let p(u) = -u**2 - 10*u - 10. Let d be p(-8). Suppose -5*i - 2*z = -83, -i - z - 5 = -d*z. Factor -3*n**2 + 2*n**3 + 16 + 16*n + 8*n + i*n**2.
2*(n + 2)**3
Let i be (16/42)/(36/42). Let p(b) be the first derivative of -2/9*b - 2 + 2/9*b**4 + 4/9*b**2 - i*b**3 - 2/45*b**5. Determine l so that p(l) = 0.
1
Factor 2/9*u**3 + 0 - 2/9*u**2 + 0*u.
2*u**2*(u - 1)/9
Let u(s) be the first derivative of 0*s**2 + 0*s**3 - 3 + 1/30*s**4 + 0*s. Factor u(n).
2*n**3/15
Factor 2/5*n**2 - 6/5 + 4/5*n.
2*(n - 1)*(n + 3)/5
Let z(h) = -5*h**4 + 6*h**3 + 3*h**2 - 19*h + 15. Let p(c) = 6*c**4 - 6*c**3 - 2*c**2 + 18*c - 16. Let v(s) = -3*p(s) - 4*z(s). Find k such that v(k) = 0.
-2, 1, 3
Suppose -2*u + 17 = -4*d - 7*u, 0 = 2*u + 10. Suppose -2*l - 10 = -d*x, -3*l = 2*l. Solve -4*z**2 + 9/2*z**4 + z**3 - 1/2 - 3*z + 2*z**x = 0 for z.
-1, -1/4, 1
Let t(i) = i. Let a(f) = -f**2 - 7*f. Suppose -6*p = -4*p + 6. Let v(w) = p*a(w) - 24*t(w). Factor v(c).
3*c*(c - 1)
Factor 25*l + 0*l**3 - 3*l**3 - 45*l - 3*l**2 + 26*l.
-3*l*(l - 1)*(l