given that 8*i**2 - i + 4 - 15*i**3 + 17*i**3 + 11*i = 0.
-2, -1
Let c = -106/693 - 32/99. Let y = 4/21 - c. Factor -y*k**4 + 4/3*k**3 + 0 + 0*k - 2/3*k**2.
-2*k**2*(k - 1)**2/3
Let o(h) be the first derivative of 2*h**3/27 + 16*h**2/9 + 10*h/3 + 142. Factor o(v).
2*(v + 1)*(v + 15)/9
Suppose -8*z - z = -4*z. Factor 0*u**4 - 3/4*u**5 + z - 3/4*u + 0*u**2 + 3/2*u**3.
-3*u*(u - 1)**2*(u + 1)**2/4
Suppose -o = 2*b - 21, -b = 4*o - 2*b - 93. Suppose 20 = 3*n + o, -n - 11 = -5*u. Let 0*s**u + 4/5*s - 4/5*s**3 + 0 = 0. What is s?
-1, 0, 1
Let x = 37952 + -37950. Factor 1/5*h**x + 64/5 + 16/5*h.
(h + 8)**2/5
What is x in 12/5*x + 12/5*x**4 - 8/5*x**3 - 4/5*x**5 - 8/5*x**2 - 4/5 = 0?
-1, 1
Let c(d) = -11*d**3 + 41*d**2 - 49*d + 27. Let h(o) = 4*o**3 - 14*o**2 + 16*o - 9. Let n(s) = 3*c(s) + 8*h(s). Factor n(y).
-(y - 9)*(y - 1)**2
Let g be 6882/(-9207) + (-10)/(-9). Let q = -3 + 6. Determine m, given that 2/11*m**5 - g*m**q + 6/11*m**4 + 6/11 - 12/11*m**2 + 2/11*m = 0.
-3, -1, 1
Let i(j) be the third derivative of -j**5/30 + j**4/6 + j**3 + 4*j**2 + 10*j. Factor i(a).
-2*(a - 3)*(a + 1)
Let j be 30/(-4)*12/(-9). Let d be 3/j*((-20)/3)/(-5). Factor 2/5*z**2 + 0 - 2/5*z - d*z**4 + 2/5*z**3.
-2*z*(z - 1)**2*(z + 1)/5
Let p(r) be the third derivative of r**7/280 - r**6/20 + 4*r**4 + 11*r**3/3 - 33*r**2. Let s(t) be the first derivative of p(t). Solve s(c) = 0.
-2, 4
Suppose 19*r - 45*r + 78 = 0. Let k(l) be the first derivative of 2/35*l**5 + 0*l**2 + 1/28*l**4 + 1/42*l**6 + 0*l + 0*l**r - 5. Solve k(v) = 0.
-1, 0
Suppose -2*o + 17 = i + o, -3*o + 22 = 2*i. Suppose 4*m + m - i = 0. Find w, given that -1/2*w**2 - m - 3/2*w = 0.
-2, -1
Let b(v) = v**3 + 13*v**2 + 13*v - 1. Let i(d) = d**3 + d**2 - d + 1. Let a(h) = b(h) + i(h). Factor a(f).
2*f*(f + 1)*(f + 6)
Let u(y) = 15*y**3 + 10*y**2 - 20*y - 15. Let h(k) = -k**4 - 16*k**3 - 10*k**2 + 20*k + 15. Suppose -22 + 18 = -o. Let p(i) = o*u(i) + 5*h(i). Factor p(z).
-5*(z - 1)*(z + 1)**2*(z + 3)
Let t(l) be the second derivative of -l**4/8 - l**3/2 + 9*l**2/4 + 112*l. Factor t(m).
-3*(m - 1)*(m + 3)/2
Let z(r) be the second derivative of r**7/945 - r**5/90 - r**4/54 - 7*r**2 + 26*r. Let v(c) be the first derivative of z(c). Factor v(s).
2*s*(s - 2)*(s + 1)**2/9
Let k(q) be the third derivative of q**8/168 - q**7/105 - q**6/30 + q**5/15 + q**4/12 - q**3/3 + 26*q**2. Suppose k(o) = 0. What is o?
-1, 1
Let a(j) = -67*j + 1474. Let h be a(22). Suppose 0*l**3 - l**4 + 1/3*l**5 + 0*l + 0*l**2 + h = 0. Calculate l.
0, 3
Factor 0 - 16/7*n**3 + 6*n**2 - 26/7*n.
-2*n*(n - 1)*(8*n - 13)/7
Let x = -761/6 + 127. Let d(o) be the first derivative of 3/2*o**2 - 9/2*o - 5 - x*o**3. What is l in d(l) = 0?
3
Suppose 2/3*g**2 + 1058/9*g**5 + 0 + 278/9*g**3 + 3266/9*g**4 + 0*g = 0. What is g?
-3, -1/23, 0
Factor -25 + 35 - 60 + 135*n - 5*n**2 - 80.
-5*(n - 26)*(n - 1)
Let y(o) be the second derivative of -o**7/105 - o**6/75 + o**5/25 + o**4/15 - o**3/15 - o**2/5 - 3*o + 4. Factor y(s).
-2*(s - 1)**2*(s + 1)**3/5
Suppose q + 2*i = 41, 25 = -2*i + 7*i. Suppose -3*n + q = -2. Let a + n*a**2 + 2*a**4 - 4*a - 8*a**3 - 5*a + a**2 + 2 = 0. Calculate a.
1
Let z(q) be the first derivative of -5*q - 6 + 1/170*q**5 + 1/102*q**4 - 1/51*q**3 - 1/17*q**2. Let o(c) be the first derivative of z(c). Factor o(a).
2*(a - 1)*(a + 1)**2/17
Factor -2110 + 1055 - 3*v + 1055 + 3*v**2.
3*v*(v - 1)
Let n(y) be the third derivative of y**5/120 - 23*y**4/12 + 529*y**3/3 - 184*y**2. Determine k, given that n(k) = 0.
46
Suppose 1/6*n + 0*n**4 + 0 - 1/3*n**3 + 1/6*n**5 + 0*n**2 = 0. What is n?
-1, 0, 1
Let s(a) be the second derivative of -24*a + 1/10*a**6 - 9/10*a**5 + 9/2*a**2 - 5*a**3 + 0 + 3*a**4. Factor s(m).
3*(m - 3)*(m - 1)**3
Determine a so that 75 + 65/2*a + 5/2*a**2 = 0.
-10, -3
Suppose 20 - 2*z**2 + 23823*z - 23805*z + 0*z**2 = 0. What is z?
-1, 10
Let m(s) = 32*s**2 + 338*s. Let v(w) = 11*w**2 + 113*w. Let c(r) = -3*m(r) + 8*v(r). Factor c(j).
-2*j*(4*j + 55)
Suppose 6*v - 134 = -122. Factor 0 - 2/3*w**v + 2/9*w**4 + 0*w**3 + 4/9*w.
2*w*(w - 1)**2*(w + 2)/9
Let d(k) be the first derivative of k**6/85 + 2*k**5/85 - k**4/102 - 2*k**3/51 + 11*k - 2. Let x(r) be the first derivative of d(r). Find n such that x(n) = 0.
-1, 0, 2/3
Factor 3*s**4 - 2754*s**3 + 126*s**2 - 122*s - s**4 + 2708*s**3 + 40.
2*(s - 20)*(s - 1)**3
Let u be 5/(135/(-6702)) - 18/(-81). Let d = u - -251. Factor -4/7*m - 6/7*m**2 + 0 - 2/7*m**d.
-2*m*(m + 1)*(m + 2)/7
Suppose -2/9*u**2 + 4/9*u - 4/9*u**3 + 2/9 = 0. Calculate u.
-1, -1/2, 1
Let i(j) be the first derivative of -5*j**6/21 - 72*j**5/35 + 19*j**4/7 + 88*j**3/21 - 33*j**2/7 - 16*j/7 - 341. Determine o so that i(o) = 0.
-8, -1, -1/5, 1
Suppose 56*a = 60*a - 4*l - 16, -a + 4*l + 1 = 0. Let m be (-1 + -1)/(5/(-2)). Factor -2/5 + 2/5*s**a + 2/5*s - 2/5*s**4 - 4/5*s**3 + m*s**2.
2*(s - 1)**3*(s + 1)**2/5
Let p = -19631/15 + 1309. Let t(m) be the first derivative of 1/15*m**2 + p*m - 8 - 2/45*m**3. Solve t(i) = 0.
-1, 2
Let v(l) be the third derivative of -l**5/150 - 9*l**4/20 - 24*l**3/5 + 5*l**2 - 26*l. Factor v(b).
-2*(b + 3)*(b + 24)/5
Let t = 6 - 4. Suppose 0 = -6*x - 3*x + 27. Let w - 2*w**2 + 4 + x*w**2 - 3*w**t - 3*w = 0. What is w?
-2, 1
Suppose -w + 5*c + 17 = 0, w + 22*c - 26*c = 14. Solve -78/7*t**4 + 0 - 6/7*t**w + 39/7*t**3 + 45/7*t**5 + 0*t = 0.
0, 1/3, 2/5, 1
Suppose u + 326 = n, u = 4*n - u - 1312. Let s be (-90)/n*(-4)/6. Suppose -4/11*q - 2/11*q**2 - s = 0. What is q?
-1
Let d(p) be the third derivative of 0*p**3 + 2/39*p**4 - 13*p**2 + 0 + 2/65*p**5 + 1/390*p**6 - 1/455*p**7 + 0*p - 1/2184*p**8. Let d(a) = 0. Calculate a.
-2, -1, 0, 2
Suppose -68*v = 67*v - 139*v + 12. Factor 20*r + 100/3 - 12*r**2 + 4/3*r**v.
4*(r - 5)**2*(r + 1)/3
Let p be 6/9*(-1 + (-8)/(-2)). Suppose -5*w**3 - 16*w**p - 12*w**3 + w**3 + 140*w**4 = 0. Calculate w.
-2/7, 0, 2/5
Let h(q) = 8*q**5 + 32*q**4 + 144*q**3 + 174*q**2 - 12. Let k(j) = -j**5 - j**3 + j**2 + 2. Let i(f) = h(f) + 6*k(f). Factor i(l).
2*l**2*(l + 3)**2*(l + 10)
Let m = -93 + 95. Factor -120*g**2 - 66 - 3*g**4 - 57 + 40*g**3 + 43 - m*g**4 + 160*g.
-5*(g - 2)**4
Factor 1452 - 66*s + 3/4*s**2.
3*(s - 44)**2/4
Let q(i) be the first derivative of 0*i**2 + 10 + i**4 + 4/3*i**3 + 0*i. Determine u so that q(u) = 0.
-1, 0
Let h(l) = 311*l - 1553. Let a be h(5). Factor 16/5 + 1/5*y**a - 8/5*y.
(y - 4)**2/5
Factor -24 - 4*g + 4*g + g**2 - 10*g.
(g - 12)*(g + 2)
Let g(r) = 3*r - 11. Let b be g(6). Factor -b*s**3 - 4 - 5*s + 5*s**3 + 3*s**3 + 2*s**2 - 2.
(s - 2)*(s + 1)*(s + 3)
Let m(k) = 2*k**2 + 0*k**2 + 2*k**2 - 41*k - 11. Suppose 0 = 6*a - 2*a - 44. Let b(r) = r**2 - 8*r - 2. Let l(y) = a*b(y) - 2*m(y). Factor l(z).
3*z*(z - 2)
Let q = -369 - -2603/7. Factor 50/7 - q*l + 2/7*l**2.
2*(l - 5)**2/7
Factor 1/5*d**4 + 21/5*d + 0 - 41/5*d**2 + 19/5*d**3.
d*(d - 1)**2*(d + 21)/5
Let q(h) be the third derivative of h**8/6720 + h**7/504 + h**6/90 + h**5/30 - 11*h**4/24 + 5*h**2. Let b(c) be the second derivative of q(c). Factor b(s).
(s + 1)*(s + 2)**2
Let o(s) be the second derivative of 7*s**5/4 + 110*s**4 - 190*s**3/3 - 5*s - 10. Factor o(y).
5*y*(y + 38)*(7*y - 2)
Suppose 0 = -0*c + c - 2. Suppose 3*r = h - 11, 4*r = -5*h + 7*r + 55. Factor 7*w**c + 2*w**3 + 4*w**3 + 2 + 5*w**3 + 0*w**4 - 9*w**4 - h*w.
-(w - 1)**2*(w + 1)*(9*w - 2)
Let j = -84847/50 - -1697. Let v(o) be the second derivative of 0*o**3 - j*o**5 + 1/50*o**6 - 4*o + 1/20*o**4 + 0 + 0*o**2. Factor v(i).
3*i**2*(i - 1)**2/5
Factor -48*b - 126*b**2 + 28*b**3 + 78*b**2 - 5*b**3 + 4*b**3 + 66*b**2 + 3*b**4.
3*b*(b - 1)*(b + 2)*(b + 8)
Let c(u) be the first derivative of -2/9*u**2 + 2/27*u**3 + 20 + 2/9*u. Factor c(b).
2*(b - 1)**2/9
Let m(g) = 2*g**2 - 4*g - 117. Let a(s) = s**2 - 2*s - 1. Let p(r) = -3*a(r) - m(r). Factor p(c).
-5*(c - 6)*(c + 4)
Let r be (-2 + -1)/((-42)/49) + -3. Factor 1/2 + c + r*c**2.
(c + 1)**2/2
Let p = 190/161 + -14/23. Factor 20/7*g**3 + 4/7*g**2 - 32/7*g - p*g**4 + 16/7 - 4/7*g**5.
-4*(g - 1)**3*(g + 2)**2/7
Let k(a) = -372*a + 12. Let t be k(-2). Determine f so that 1446 - 6860*f + 5*f**4 + 714*f**2 - 140*f**3 + t*f**2 + 9644 + 915 = 0.
7
Let t = -417 + 3803/9. Factor 56/9*s + 140/9*s**3 - 8/9 - 46/3*s**2 - t*s**4.
-2*(s - 1)**2*(5*s - 2)**2/9
Let b(a) be the second derivative of 2*a**6/15 -