(v) be the third derivative of v**7/735 - v**6/420 - v**5/42 - v**4/28 + 17*v**2. Factor s(l).
2*l*(l - 3)*(l + 1)**2/7
Let o be (148/36 + -4)/(2/48). Let 2/3*g**3 + 0*g**2 + o*g**4 + 0 + 0*g = 0. What is g?
-1/4, 0
Suppose -2*j + 0*x - 5*x + 4 = 0, 4*x + 36 = 4*j. Factor 2*f - 2*f**2 + 7 - j.
-2*f*(f - 1)
Let o = -1083/2 - -563. Let f = -469/22 + o. Factor -2/11 - 6/11*d**2 + 6/11*d + f*d**3.
2*(d - 1)**3/11
Let x(d) be the second derivative of d**9/37800 - d**8/5600 + d**7/3150 - d**4/6 - 2*d. Let g(h) be the third derivative of x(h). Factor g(l).
2*l**2*(l - 2)*(l - 1)/5
Suppose -4*b - 2 = -u - 16, -10 = 5*u. Suppose -3*k**4 + 2*k**2 - 5*k**4 - 15*k**b - k**3 + 4*k = 0. Calculate k.
-2, -1/2, 0, 1/2
Let r(t) be the second derivative of t**6/180 - t**5/60 - t**3/3 + 2*t. Let v(l) be the second derivative of r(l). Factor v(k).
2*k*(k - 1)
Let o be ((-1)/6)/((-30)/12). Let q(x) be the second derivative of -1/15*x**3 - o*x**4 + 1/5*x**2 - 2*x + 0. Factor q(l).
-2*(l + 1)*(2*l - 1)/5
Let h(k) = k**2 - 7*k + 4. Let l be h(7). Suppose 9*p - 10 = l*p. Factor -3*x**4 + 1 + 0 - 1 - p*x**3 + x**2.
-x**2*(x + 1)*(3*x - 1)
Let o(n) = -n**2 - 8*n + 12. Let f be o(-9). Factor -a**5 + 13*a**4 + 5*a**2 + a - 15*a**4 - f*a**2.
-a*(a - 1)*(a + 1)**3
Let a(x) be the first derivative of 0*x - 1/18*x**4 + 6 - 2/15*x**5 + 2/27*x**6 - 1/9*x**2 + 2/9*x**3. Determine t so that a(t) = 0.
-1, 0, 1/2, 1
Let h be 4/3*(-8)/(-32). Determine q so that 0 - q**3 + h*q**4 + q**2 - 1/3*q = 0.
0, 1
Let l be (2 - (-3 + 5))/3. Find k such that l + 2/5*k**2 + 0*k = 0.
0
Let n(d) be the first derivative of -d**5/300 + d**4/120 + d**3/15 + 3*d**2 - 7. Let i(o) be the second derivative of n(o). Solve i(s) = 0 for s.
-1, 2
Let b(v) = 6*v**2 - 16*v - 11. Suppose 0*s - 66 = 3*s. Let h(p) = p**2 - 3*p - 2. Let n(i) = s*h(i) + 4*b(i). Find w such that n(w) = 0.
-1, 0
Let p = 90 - 6. Let b = -586/7 + p. Factor 2/7 + b*g**2 - 4/7*g.
2*(g - 1)**2/7
Suppose -12*q = -17*q + 5*r + 25, -12 = 4*r. Suppose -28/9*v**3 + 26/9*v**q + 40/9*v + 8/9 + 8/9*v**5 - 14/9*v**4 = 0. What is v?
-1, -1/4, 2
Suppose 5 - 14 = -3*j. Find r, given that 2*r - 5*r**3 + 0*r**3 + 2*r**j - 1 + r**4 + r**3 = 0.
-1, 1
Let v(h) = 2*h**2 + 18*h - 15. Let w(t) = 5*t**2 + 53*t - 44. Let c = 24 - 41. Let o(y) = c*v(y) + 6*w(y). Suppose o(i) = 0. What is i?
3/2
Let w(o) be the first derivative of -6/55*o**5 - 9 + 8/33*o**3 - 1/33*o**6 + 0*o**2 + 0*o + 0*o**4. Factor w(g).
-2*g**2*(g - 1)*(g + 2)**2/11
Let d(s) = 15*s**3 - 21*s**2 + 6*s - 18. Let z(o) = 5*o**3 - o**2 - 7*o**3 - 1 + 2 + 3*o**3. Let l(p) = d(p) + 18*z(p). Solve l(j) = 0.
0, 2/11, 1
Let r(c) be the third derivative of -c**5/60 + c**4/3 + 3*c**3/2 + 60*c**2. Factor r(j).
-(j - 9)*(j + 1)
Let f be ((-70)/(-30))/7 + (-1)/(-6). Factor 2*r + f*r**2 + 2.
(r + 2)**2/2
Let j = 1520 + -19748/13. Factor -14/13*n**2 - j*n + 2/13.
-2*(n + 1)*(7*n - 1)/13
Let x(t) be the second derivative of 9/10*t**6 + 0 + 15/2*t**3 + 37/4*t**4 + 3*t**2 + 3*t + 99/20*t**5. Suppose x(r) = 0. Calculate r.
-2, -1, -1/3
Let w be (-6)/12*(-1 + 0). Find m such that 4*m - w*m**2 - 8 = 0.
4
Let m(v) be the second derivative of v**5/150 + v**4/90 - 12*v. Factor m(o).
2*o**2*(o + 1)/15
Suppose -l + 2059 = -3*j + 343, 2*l = -j + 3418. Let o = l + -1073. Factor 8 + o*c**3 + 54*c + 140*c**2 + 38*c + 343*c**4 + 238*c**2.
(c + 1)*(7*c + 2)**3
Let d be (-52)/6 - (-10)/(-30). Let t = 12 + d. Factor 4/3 + 10/3*o + 8/3*o**2 + 2/3*o**t.
2*(o + 1)**2*(o + 2)/3
Let z(f) be the first derivative of -1 - 2/3*f**3 + 0*f**2 + 0*f - 1/2*f**4. Suppose z(k) = 0. What is k?
-1, 0
Let d be (4/20)/(1/2). Suppose -2/5*u**4 + 2/5*u**2 - d*u + 2/5*u**3 + 0 = 0. What is u?
-1, 0, 1
Let l(i) = i**2 - 6*i + 5. Let x be l(6). Let k = x + -13/3. Find o, given that 4/3*o**3 - k - 4/3*o + 0*o**2 + 2/3*o**4 = 0.
-1, 1
Suppose -172*q + 169*q = -6. Let j(x) be the first derivative of -q + 0*x + 2/5*x**5 + 0*x**3 + 0*x**2 - 1/2*x**4. Factor j(z).
2*z**3*(z - 1)
Suppose 4*c - 16 = 4. Suppose 4*f**2 - 7*f + 5*f + f - 8 + c*f = 0. Calculate f.
-2, 1
Let a(c) be the first derivative of 16*c**2 + 21 + 10*c**3 - c**4 - 13 + 8*c - 2*c**5 - 11. Determine d so that a(d) = 0.
-1, -2/5, 2
Let c(y) be the second derivative of -2*y**7/147 - 2*y**6/35 - 3*y**5/35 - y**4/21 - 11*y. Factor c(x).
-4*x**2*(x + 1)**3/7
Factor 1/9*i**2 + 1/3*i + 0.
i*(i + 3)/9
Let c = 226 - 222. Factor 1/2*h**3 + 0 + 1/4*h**2 + 0*h + 1/4*h**c.
h**2*(h + 1)**2/4
Let h(r) = r**3 - 6*r**2 + 4. Let a be h(5). Let l be (-6)/a + (-32)/(-84). Factor 0 + l*d - 1/3*d**2.
-d*(d - 2)/3
Let q = 47 - 45. Let p(g) be the first derivative of 2*g**3 - 3 + 2/5*g**5 + 0*g - g**q - 3/2*g**4. Suppose p(y) = 0. Calculate y.
0, 1
Let w(r) = r - 1. Let i(s) = 16*s**2 + 14*s - 8. Let d(o) = i(o) - 8*w(o). Factor d(j).
2*j*(8*j + 3)
Suppose v - 67 = -5*o + 2*v, 0 = 4*o + 2*v - 48. Suppose -2*f - 2*f = h - o, 0 = 3*f + 3*h - 12. What is s in -2 - 2*s**f + 0 + 2*s**2 + 2*s + 0*s**3 = 0?
-1, 1
Let o(u) = -3*u**3 - 21*u**2 - 37*u - 11. Let s(b) = 3*b**3 + 21*b**2 + 36*b + 12. Let z(q) = -3*o(q) - 4*s(q). Factor z(p).
-3*(p + 1)**2*(p + 5)
Factor 3/2*x**4 + 12*x**2 + 6*x + 15/2*x**3 + 0.
3*x*(x + 1)*(x + 2)**2/2
Solve -32/9 + 16/9*v - 2/9*v**2 = 0 for v.
4
Solve 2/19*w**2 + 8/19*w + 0 = 0.
-4, 0
Let t(l) be the second derivative of l**6/50 - 3*l**5/50 + l**3/5 - 3*l**2/10 - 3*l. Factor t(y).
3*(y - 1)**3*(y + 1)/5
Suppose -t - 16 = -5*t. Factor w**t + 5*w**3 - 5*w**3 + 2*w**3 + 2*w**4 - 1 - 2*w**2 + w**5 - 3*w.
(w - 1)*(w + 1)**4
Let k(v) be the second derivative of -3*v**6/55 - 12*v**5/55 + 4*v**4/33 + 32*v**3/33 - 16*v**2/11 - 4*v. Factor k(z).
-2*(z + 2)**2*(3*z - 2)**2/11
Factor -54*z**4 - 15*z**5 - 36*z**3 + 24*z**2 + 92*z - 92*z.
-3*z**2*(z + 2)**2*(5*z - 2)
Let a(h) be the third derivative of -19*h**5/60 - h**4/12 + 38*h**2. Factor a(g).
-g*(19*g + 2)
Let r(g) = g**2 - 1. Suppose n + 1 = 2*o, 4*o + 5*n = -24 + 5. Let j(s) = 4*s**2 + 9*s + 5. Let v(q) = o*j(q) + r(q). Factor v(m).
-3*(m + 1)*(m + 2)
Let y(w) be the second derivative of -3*w**5/5 + 7*w**4/3 - 10*w**3/3 + 2*w**2 - 10*w. Factor y(t).
-4*(t - 1)**2*(3*t - 1)
Let u be (-38)/(-12) - -5*18/(-30). Suppose -u*h**2 + 1/2*h - 1/3 = 0. What is h?
1, 2
Let y be 32/(-6)*(-6)/(-4). Let t = y - -11. Determine x so that t - 3*x**3 + 5*x**4 - 2*x**2 - 3 = 0.
-2/5, 0, 1
Let u(k) be the first derivative of -7*k**4/6 + 5*k**3/3 + 2*k**2 + 5*k - 8. Let t(g) be the first derivative of u(g). Factor t(q).
-2*(q - 1)*(7*q + 2)
Factor 4*q - 4*q**3 - 6*q**4 - 4*q**4 + q**4 + 7*q**4 + 2.
-2*(q - 1)*(q + 1)**3
Let c(p) = p - 11. Let j be c(11). Let h(u) be the first derivative of 1/14*u**4 - 2/35*u**5 + j*u - 1/7*u**2 + 2 + 2/21*u**3. Suppose h(m) = 0. What is m?
-1, 0, 1
Let k(j) be the third derivative of -2*j**6/15 - 3*j**5/5 - j**4 - 2*j**3/3 - 3*j**2. Solve k(z) = 0 for z.
-1, -1/4
Let d be 754/(-1650) + (1 - 0). Let w = 2/825 + d. Solve -6/11*f**4 + w*f**3 + 0*f + 0 + 2/11*f**5 - 2/11*f**2 = 0.
0, 1
Let z(f) be the first derivative of -f**6/48 - f**5/40 + f**4/32 + f**3/24 + 10. Factor z(y).
-y**2*(y - 1)*(y + 1)**2/8
What is i in 6*i**2 - 22*i**3 + 3*i**4 + 4 + 7*i**4 + 8*i**5 + 14*i - 20*i**2 = 0?
-2, -1, -1/4, 1
Let n = 218/3 + -72. Determine i so that -n*i**2 + 0*i + 2/3 = 0.
-1, 1
Factor -2/3 + c + 0*c**2 - 1/3*c**3.
-(c - 1)**2*(c + 2)/3
Let j = -419/15 - -28. Let b(h) be the third derivative of 1/15*h**5 - h**2 - 1/105*h**7 - 3*h**3 + 0 + h**4 - j*h**6 + 0*h. Factor b(s).
-2*(s - 1)**2*(s + 3)**2
Let d(q) = 2*q**3 - 9*q**2 - 51*q + 1. Let a(c) = -c**3 - c**2 + c + 1. Let b(i) = -3*a(i) - d(i). Let p(h) be the first derivative of b(h). Factor p(n).
3*(n + 4)**2
Let u(r) be the second derivative of -3/20*r**5 + 0*r**3 - 3/4*r**4 + 4*r + 0 + 6*r**2. Let u(x) = 0. Calculate x.
-2, 1
Let y = 2 + -2. Suppose 4*h + 0*h - 8 = y. Factor -6*a**h + 5*a**2 + 3*a**2 - 2*a**5 - 2*a**4 + 5*a**3 - 3*a**3.
-2*a**2*(a - 1)*(a + 1)**2
Let y be (21/14)/((-2)/(-4)). Factor 6*g**3 + y*g**4 - g**4 - 2*g**4 - 2*g**4.
-2*g**3*(g - 3)
Factor -40*r - 2*r**2 - 2*r**3 - 11*r**2 - 34 + 2 - 3*r**2.
-2*(r + 2)**2*(r + 4)
Find b, given that -2/5*b + 0 + 9/5*b**3 + 7/5*b**2 = 0.
-1, 0, 2/9
Suppose 3*b - 3 = 2*y, 3*b - 1 = y + 5. Let -1/2*k**b - k**2 - 1/2*k + 0 = 0. Calculate k