(g) be the first derivative of -2*g**3/3 + 2*g + 6. Factor o(r).
-2*(r - 1)*(r + 1)
Let y(n) = 11*n**2 - 26*n. Let d(m) = 10*m**2 - 25*m. Let h(x) = -6*d(x) + 5*y(x). Find q, given that h(q) = 0.
0, 4
Suppose -34*t + 30*t - 24 = 0. Let f be 0/(3/(t/4)). Let f + 1/2*h**2 - h = 0. Calculate h.
0, 2
Let m(v) = -v**3 + 4*v**2 - 4*v + 3. Let d be m(3). Let u be 0 + -1 - -1 - -3. Factor 17*b + d*b**2 - b**2 + b**u - 19*b.
b*(b - 2)*(b + 1)
Let d = -11317/10595 - 24/163. Let c = 21/13 + d. Suppose -7/5*v**5 + 0*v - c*v**2 + 12/5*v**4 - 3/5*v**3 + 0 = 0. What is v?
-2/7, 0, 1
Let -8 - 9/2*o**2 - 12*o - 1/2*o**3 = 0. Calculate o.
-4, -1
Let o(d) be the third derivative of -d**8/84 + 4*d**7/105 - d**6/30 + 8*d**2. Solve o(k) = 0 for k.
0, 1
Let g(w) = -w**5 - w**4 - 13*w**3 - 8*w**2 + 4*w + 9. Let b(m) = 6*m**3 + 4*m**2 - 2*m - 4. Let q(t) = 10*b(t) + 4*g(t). What is u in q(u) = 0?
-1, 1
Let h be (14 - 2)*(3 - 2). Factor 8*c**2 + c**3 - 21*c**3 + 0*c**3 - h*c**4.
-4*c**2*(c + 2)*(3*c - 1)
Let w(k) = 22*k + 3. Let u be w(2). Solve 46*s**3 + 17*s - 7*s**5 + 42*s**4 + 16*s**5 + u*s**2 + 2 + 5*s**2 + 24*s**3 = 0 for s.
-2, -1, -1/3
Factor 30*u - 4*u**2 - 95 + 0*u**2 + 20 + u**2.
-3*(u - 5)**2
Let i(n) be the first derivative of -n**4/14 - 2*n**3/7 - 2*n**2/7 + 4. Suppose i(c) = 0. Calculate c.
-2, -1, 0
Let o(t) be the third derivative of -1/60*t**5 - 7/120*t**6 + 1/3*t**4 - 1/336*t**8 + 1/42*t**7 + 0 + 0*t - 2/3*t**3 - 2*t**2. Let o(n) = 0. Calculate n.
-1, 1, 2
Let u(g) = -g**3 - 6*g**2 + 4. Let d be u(-6). Suppose d*t = 2*t + 64. Solve 2*c**2 - 62*c**4 - 4*c**3 - 28*c**5 + 6*c - t*c**3 - 2*c = 0 for c.
-1, -1/2, 0, 2/7
Find q such that 2/5*q**2 + 0*q - 8/5*q**3 + 0 = 0.
0, 1/4
Let d(w) be the first derivative of w**5/120 + w**4/48 + 4*w**2 - 6. Let o(b) be the second derivative of d(b). Factor o(f).
f*(f + 1)/2
Let t be (102/(-4))/((-78)/13). Let j = t - 4. Factor 3/4*g - 3/4*g**2 - j + 1/4*g**3.
(g - 1)**3/4
Let m(c) be the second derivative of -c**6/135 + c**5/18 - c**4/6 + 7*c**3/27 - 2*c**2/9 - 17*c. Suppose m(x) = 0. Calculate x.
1, 2
Let q = 5/4 + 1/12. Let a = -1 - -1. Factor 0*k**2 + 0*k**4 + 2/3*k - q*k**3 + a + 2/3*k**5.
2*k*(k - 1)**2*(k + 1)**2/3
Suppose 26 = 9*f - 10. Factor 4/5*m**3 + 2/5*m**f + 0*m + 2/5*m**2 + 0.
2*m**2*(m + 1)**2/5
Let b be 1*((-3)/(-1))/9. Let n(w) be the third derivative of -2*w**2 + 0 - 1/105*w**7 + 0*w**5 + 1/6*w**4 - 1/30*w**6 + b*w**3 + 0*w. Factor n(l).
-2*(l - 1)*(l + 1)**3
Let c(v) be the first derivative of -v**3/12 - 3*v**2/4 - 9*v/4 - 46. Factor c(z).
-(z + 3)**2/4
Let n be (3 + -3)*1/(-3). Let h(m) be the second derivative of n*m**3 - 1/15*m**5 + 0 - 2*m + 0*m**2 - 1/18*m**4 - 1/45*m**6. Factor h(g).
-2*g**2*(g + 1)**2/3
Suppose -4*a = -2*k - 26, -5*a - k = -2*k - 31. Factor v**4 + 2*v**4 - a*v**4 + 3*v**2.
-3*v**2*(v - 1)*(v + 1)
Let m(w) be the third derivative of w**5/180 - w**4/18 + w**3/6 + 3*w**2. Let m(a) = 0. Calculate a.
1, 3
Let q(j) = 2*j**2 - 2*j - 4. Let r be q(2). Factor -2/9*c**4 + 2/9*c**3 + 0*c + r + 0*c**2.
-2*c**3*(c - 1)/9
Suppose -2*o - 4*l - l = 0, 4*o - 14 = -3*l. Let s(g) be the third derivative of 1/20*g**o + 1/8*g**4 + 0*g + 0 + 1/120*g**6 + 1/6*g**3 + g**2. Factor s(n).
(n + 1)**3
Let n be (-5)/((4 - 9)/5). Suppose -2*s - 6 = -n*s. Factor -3/4 - 12*o**s - 6*o.
-3*(4*o + 1)**2/4
Factor -3/7*u**2 + 0 + 0*u.
-3*u**2/7
Let r(m) be the second derivative of -1/6*m**4 - m + 0*m**2 + 0 + 1/20*m**5 + 1/6*m**3. Determine k, given that r(k) = 0.
0, 1
Find m such that -14/9*m**4 + 0 - 16/9*m**3 + 10/9*m**5 + 0*m + 8/9*m**2 = 0.
-1, 0, 2/5, 2
Let u(w) be the third derivative of -w**6/24 - 7*w**5/60 - w**4/12 - 10*w**2. Factor u(v).
-v*(v + 1)*(5*v + 2)
Let g be (-13)/((-1053)/(-306)) + 4. Solve 0*r - 2/9*r**3 + 0 + g*r**2 = 0 for r.
0, 1
Let q(w) be the third derivative of -w**5/180 - w**4/24 + 5*w**2. Factor q(n).
-n*(n + 3)/3
Suppose 7*r - 2*r + 5 = 0. Let j be r/(-5) + 4/20. Factor 0 - j*d**3 + 0*d - 2/5*d**2.
-2*d**2*(d + 1)/5
Let z(w) be the second derivative of -w**8/1680 + w**7/630 + w**6/90 + w**4/3 - 7*w. Let q(h) be the third derivative of z(h). Factor q(c).
-4*c*(c - 2)*(c + 1)
Find o such that -18/5*o + 3/5*o**2 + 24/5 = 0.
2, 4
Suppose 5*c = -13*b + 9*b, -12 = 2*c + 4*b. Factor -4/3*q**3 - 2/9*q**5 + 8/9*q**2 - 10/9*q**c + 0 + 16/9*q.
-2*q*(q - 1)*(q + 2)**3/9
Let z be 3/(-9)*-1*18. Let f be (-4)/(-42)*z/1. Factor -f*j**2 + 4/7*j**3 - 6/7*j - 2/7 + 6/7*j**4 + 2/7*j**5.
2*(j - 1)*(j + 1)**4/7
Let x(i) = i**2 - 5*i. Let m be x(6). Factor 0*u**3 + u + 4*u**3 + u**4 + 3*u + m*u**2 + 1.
(u + 1)**4
Let h(d) = d**4 + 16*d**3 - 9*d**2 - 25*d + 17. Suppose 0 = -m + 5*m + 36. Let w(r) = -4*r**3 + 2*r**2 + 6*r - 4. Let b(o) = m*w(o) - 2*h(o). Factor b(u).
-2*(u - 1)**3*(u + 1)
Suppose -1888 - 5297 = -5*x. Let k = 7227/5 - x. Factor 6/5*y + k*y**2 + 10*y**3 + 18/5*y**4 - 4/5.
2*(y + 1)**3*(9*y - 2)/5
Find v, given that 3/7*v**3 + 3/7*v**2 - 6/7*v + 0 = 0.
-2, 0, 1
Let k(x) be the third derivative of 0 + 3*x**2 - 1/18*x**3 + 0*x - 1/180*x**5 + 1/36*x**4. Let k(n) = 0. Calculate n.
1
Let t be 15/8 - (-14)/112. Suppose 9 = y + 2*y. Suppose i**2 - i**4 + 0*i**3 + i**y + t*i**2 - i**2 = 0. What is i?
-1, 0, 2
Let z(c) be the third derivative of -c**8/336 - c**7/42 - c**6/20 + c**5/15 + c**4/3 - 4*c**2. Factor z(v).
-v*(v - 1)*(v + 2)**3
Let i(l) be the third derivative of 0 + 0*l - 3*l**2 - 1/3*l**3 - 1/30*l**5 + 1/6*l**4. Factor i(t).
-2*(t - 1)**2
Let m(f) be the first derivative of 1/5*f**2 - 2 + 0*f**3 + 1/15*f**6 - 1/5*f**4 + 0*f + 0*f**5. Find s such that m(s) = 0.
-1, 0, 1
Suppose -2*n + 45 = 3*n + 4*s, -4*s = -20. Find u, given that -n*u + 0*u + 7*u - 1 + 3*u**2 = 0.
-1, 1/3
Let d = 17/9 + -847/450. Let v(u) be the third derivative of 0*u + d*u**5 - 1/525*u**7 + 3*u**2 - 1/60*u**4 + 0*u**3 + 1/300*u**6 + 0. Factor v(s).
-2*s*(s - 1)**2*(s + 1)/5
Let j be 3*4/12 + 1. Factor -3*s**3 + 5*s**j + 5*s**2 - 8*s**2 + s**3 + 4*s.
-2*s*(s - 2)*(s + 1)
Let i = 38 - 35. Factor 1/4*c**i + 0*c + 0*c**2 + 0 + 1/4*c**4.
c**3*(c + 1)/4
Let k(p) be the third derivative of p**9/90720 - p**7/2520 - p**6/540 + p**5/30 - 3*p**2. Let w(q) be the third derivative of k(q). Factor w(t).
2*(t - 2)*(t + 1)**2/3
Let b(z) = -2*z**2 - 2*z - 44. Let g(n) = n**2 + n + 29. Let i(c) = 5*b(c) + 8*g(c). Factor i(r).
-2*(r - 2)*(r + 3)
Let h(n) be the first derivative of -n**6/40 + n**4/16 - n + 3. Let t(s) be the first derivative of h(s). Factor t(u).
-3*u**2*(u - 1)*(u + 1)/4
Let t(s) be the second derivative of s**4/3 + 8*s**3/3 + 6*s**2 - 3*s. Factor t(a).
4*(a + 1)*(a + 3)
Suppose 2*j - 3 = 1. Solve 6*n**3 + 8*n**j + n + 2*n**5 - n**5 - 4*n**2 + 4*n**4 = 0.
-1, 0
Let n(v) be the second derivative of 0*v**2 - 2*v + 0 + 1/40*v**5 - 1/48*v**4 - 1/120*v**6 + 0*v**3. Solve n(c) = 0 for c.
0, 1
Let a = 787246/100737 + -2540/351. Let s = a - 12/41. Factor s*x**2 - 8/7*x + 8/7.
2*(x - 2)**2/7
Let c(g) be the second derivative of -1/4*g**4 + 3*g + 3/80*g**5 + 1/2*g**3 + 0 + 0*g**2. Factor c(y).
3*y*(y - 2)**2/4
Let d(i) = i**2 - 2*i - 4. Let a be d(4). Suppose a*q - 8*q = 0. Suppose 1/3*s - 1/3*s**2 + q = 0. What is s?
0, 1
Let h be 664/(-1872) - 2/9. Let j = -1/13 - h. Factor 2*x**2 - j*x**3 + 1 - 5/2*x.
-(x - 2)*(x - 1)**2/2
Let w be 9/21*(0 - 1709). Let i = -731 - w. Determine u, given that -2*u**4 - 6/7*u**3 + i*u**5 + 2*u**2 + 0 - 4/7*u = 0.
-1, 0, 2/5, 1
Let p(z) be the third derivative of z**5/180 + z**4/72 - z**3/9 - 28*z**2. Factor p(x).
(x - 1)*(x + 2)/3
Let r = -61/11 - -1841/330. Let w(q) be the second derivative of q + 0 - r*q**5 + 0*q**4 + 0*q**2 + 1/9*q**3. Solve w(l) = 0 for l.
-1, 0, 1
Let i(q) be the second derivative of 1/2*q**2 + 1/5*q**5 + 2/3*q**3 + 1/2*q**4 - 4*q + 0 + 1/30*q**6. Let i(p) = 0. What is p?
-1
Let r be 7/30*(-16)/(-56). Let s(b) be the second derivative of 0 - r*b**3 + 3*b - 1/60*b**4 - 1/10*b**2. What is z in s(z) = 0?
-1
Suppose 2*z - 6 = -2. Let w be ((-35)/(-9) - 3)*(-138)/(-8). Factor -18*n**3 - 14/3*n**5 + w*n**4 - 4/3*n + 0 + 26/3*n**z.
-2*n*(n - 1)**3*(7*n - 2)/3
Let z(q) be the second derivative of q**5/110 + q**4/22 + 2*q**3/33 - 3*q. Factor z(v).
2*v*(v + 1)*(v + 2)/11
Let u(w) = 4*w - 2*w + 4*w + w**2 - w + 4. Let j be u(-4). Factor -2/7*n**5 + 0 + j*n**3 + 4/7*n**4 + 0*n**2 + 0