 l**6/48 + l**5/12 + 70*l**2. Factor r(o).
5*o**2*(o + 2)/2
Factor 1/6*u**2 - 49/6*u + 8.
(u - 48)*(u - 1)/6
Let l(x) = x**3 + 4*x**2 + 3*x + 2. Let n be l(-3). Factor 7*p**2 + 22*p**n - 7*p**2 + 26*p + 0 + 4.
2*(p + 1)*(11*p + 2)
Factor -1/2*p**2 + 0 + 1/2*p**3 - 3*p.
p*(p - 3)*(p + 2)/2
Factor 28/5*u + 0 - 2/5*u**3 - 2*u**2.
-2*u*(u - 2)*(u + 7)/5
Let j(d) = d**2 + 7*d - 14. Let g be j(-9). Suppose -5*q = -3*q - g. Factor -4/9*t + 14/9*t**q + 0.
2*t*(7*t - 2)/9
Let z(n) be the third derivative of n**6/24 + n**5/6 - 5*n**4/3 + 22*n**2 + 3*n. Find b, given that z(b) = 0.
-4, 0, 2
Let u be (12/1 - 21) + 12. Let x(h) be the first derivative of -10/21*h**u + 6 + 17/7*h**2 - 12/7*h. Determine q, given that x(q) = 0.
2/5, 3
Factor 4*t**2 + 13*t**3 - 42*t**4 + 8*t**2 - 14 - 13*t + 3*t**2 + 41*t**4.
-(t - 14)*(t - 1)*(t + 1)**2
Factor 0 - 8/5*v - 12/5*v**3 + 18/5*v**2 + 2/5*v**4.
2*v*(v - 4)*(v - 1)**2/5
Let h be (-6 - 0)/((-10)/40). Suppose 7*w = 39 + h. Factor 7*g**2 - 3*g**2 - w*g**3 + 27*g**3.
2*g**2*(9*g + 2)
Let j(v) be the third derivative of -v**8/1848 + v**7/1155 + v**6/660 - v**5/330 + 74*v**2. Factor j(t).
-2*t**2*(t - 1)**2*(t + 1)/11
Let c be -7*((-52)/84 - (-8)/(-72)*-3). Find y, given that -8/7 - 1/7*y**c + 6/7*y = 0.
2, 4
Let q(b) be the third derivative of -1/735*b**7 - 25*b**2 + 1/210*b**5 + 0*b**3 + 0*b**6 + 0*b + 0*b**4 + 0. Factor q(a).
-2*a**2*(a - 1)*(a + 1)/7
Suppose 4*s - 4 + 0 = 3*b, 3*s - 24 = -3*b. Factor 8*q + 5*q**3 + 36*q + 32 + 24*q**2 + s*q - q**3.
4*(q + 2)**3
Let v = -953 - -953. Let x(c) be the second derivative of 0*c**6 + 0*c**4 + 0*c**2 + 1/21*c**3 + v + 1/147*c**7 - c - 1/35*c**5. What is i in x(i) = 0?
-1, 0, 1
Let s(h) be the second derivative of 5*h + 0*h**3 + 1/63*h**7 + 0 + 0*h**5 - 1/15*h**6 + 2/9*h**4 + 0*h**2. Factor s(z).
2*z**2*(z - 2)**2*(z + 1)/3
Let c(k) be the first derivative of 7/4*k**2 - 1 - 1/10*k**5 - 3/2*k**3 + 5/8*k**4 - k. Factor c(m).
-(m - 2)*(m - 1)**3/2
Suppose 4*n = -4*r + 4, 5*n = -7*r + 10*r - 19. Let p(o) be the first derivative of -3/2*o**5 - 3/2*o**4 + 0*o**2 - 1/2*o**6 - 1/2*o**r + 8 + 0*o. Factor p(i).
-3*i**2*(i + 1)**2*(2*i + 1)/2
Solve -152/11*p - 2/11*p**5 - 98/11*p**3 + 48/11 + 180/11*p**2 + 24/11*p**4 = 0.
1, 2, 6
Let s(z) be the third derivative of z**9/60480 - z**8/5040 + z**7/1260 + z**5/20 + 5*z**2. Let w(u) be the third derivative of s(u). Factor w(b).
b*(b - 2)**2
Solve 2/5*k**2 - 28/5*k - 6 = 0 for k.
-1, 15
Let z(t) be the first derivative of -3/2*t**6 + 6/5*t**5 - 2*t**2 - 4/3*t**3 + 0*t + 11/4*t**4 - 21. Factor z(y).
-y*(y - 1)**2*(3*y + 2)**2
Let s(u) = u**2 - 20*u + 44. Let t(j) = 3*j**2 - 78*j + 174. Let l(f) = 9*s(f) - 2*t(f). What is q in l(q) = 0?
4
Let l(d) be the first derivative of d**4/4 - 38*d**3/3 + 361*d**2/2 - 185. Factor l(m).
m*(m - 19)**2
Let t be (7/4)/(4/(-16)). Let s = -3 - t. Let 2 - 3*m - 4*m**4 - m + 4*m**3 + 6*m**s - 4 = 0. What is m?
-1, 1
Let z(n) = n**3 + 6*n**2 + 5*n - 3. Let x be z(-4). Determine k so that -18*k + 2 + 3*k - x - 11 - 3*k**2 = 0.
-3, -2
Solve 0*m**4 + 0 - 3/2*m**3 + 3/4*m + 3/4*m**5 + 0*m**2 = 0 for m.
-1, 0, 1
Solve -9/2*u**3 + 0 - 18*u + 111/2*u**2 = 0.
0, 1/3, 12
Let c(v) be the third derivative of 0*v + 0 + 25/12*v**4 + 1/12*v**5 - 13*v**2 + 0*v**3. Solve c(g) = 0.
-10, 0
Let u = 5 + 0. Let w(j) = 5*j**3 + 9*j**2 + 2*j + 2. Let g(i) = 11*i**3 + 19*i**2 + 4*i + 5. Let n(m) = u*w(m) - 2*g(m). Factor n(r).
r*(r + 2)*(3*r + 1)
Let w(a) be the second derivative of -a**5/15 - a**4/2 - 4*a**3/3 + 24*a**2 - a - 1. Let d(g) be the first derivative of w(g). Factor d(q).
-4*(q + 1)*(q + 2)
Suppose 109*r = 115*r. Determine h so that 0*h + r - 1/3*h**2 = 0.
0
Let c(b) be the second derivative of 1/20*b**4 + 0 - 5*b - 1/5*b**3 + 3/10*b**2. What is p in c(p) = 0?
1
Let f be 44/57 + 132/(-1254). Let b(w) be the first derivative of -1/5*w**5 - 1/4*w**4 + 0*w**2 + 5 + f*w**3 + 0*w. Factor b(o).
-o**2*(o - 1)*(o + 2)
Suppose 4*o - 8 = 20. Factor 0*k + 10*k**3 + 0*k - o*k**3.
3*k**3
Let 1/10*w**2 + 98/5 - 14/5*w = 0. Calculate w.
14
Let b = 56144/5 + -11227. Factor b*l - 21/5*l**2 + 0 + 3*l**3 - 3/5*l**4.
-3*l*(l - 3)*(l - 1)**2/5
Let s = -5/1509 + 29179/1509. Let 133/3*q**3 + 27/2*q**2 + 49/6*q**4 - s*q + 10/3 = 0. Calculate q.
-5, -1, 2/7
Determine i, given that -11/7*i**3 - 46/7*i**2 + 11/7*i**4 - 20/7*i + 4/7*i**5 + 8/7 = 0.
-2, -1, 1/4, 2
Let p = 43 + -39. Let o be 64/20 + (1 - p). Suppose 3/5*g**5 + 0*g**2 + 0*g - 2/5*g**3 + o*g**4 + 0 = 0. What is g?
-1, 0, 2/3
Let z(f) = 3*f**3 + 12*f**2 + 9*f - 6. Let t(d) = -73*d + 4*d**3 + 159*d - 6 - 76*d + 13*d**2. Let w(i) = 6*t(i) - 7*z(i). Factor w(h).
3*(h - 2)*(h - 1)*(h + 1)
Let g(a) be the third derivative of a**6/900 + a**5/75 + a**4/15 - 13*a**3/6 + 20*a**2. Let d(l) be the first derivative of g(l). Find p such that d(p) = 0.
-2
Let r(m) be the first derivative of m**5/60 - m**4/36 - m**3/18 + m**2/6 - 22*m - 13. Let h(l) be the first derivative of r(l). Factor h(c).
(c - 1)**2*(c + 1)/3
Let b(s) = -2*s**2 - 71*s - 552. Let l be b(-24). Factor -2/17*i**4 + l + 0*i - 18/17*i**2 - 12/17*i**3.
-2*i**2*(i + 3)**2/17
Suppose -2*c - 8 = 4*v, 6*v = 2*c + 7*v + 2. Factor c + 4/9*z - 2/9*z**2.
-2*z*(z - 2)/9
Let l(k) be the third derivative of k**8/112 + 3*k**7/70 + k**6/20 - k**5/10 - 3*k**4/8 - k**3/2 + 33*k**2. Determine p, given that l(p) = 0.
-1, 1
Factor 1622*j**2 - 812*j**2 - 811*j**2 - 120*j.
-j*(j + 120)
Let j = -9 + 11. Factor -a**3 - 2*a**3 - 2*a + 4 - 5*a**2 + 5*a**3 + a**j.
2*(a - 2)*(a - 1)*(a + 1)
Let m(j) = 19*j**3 - 15*j**2 - 26*j - 11. Let y(k) = -4*k**3 + 3*k**2 + 5*k + 2. Let c = 40 + -38. Let z(f) = c*m(f) + 11*y(f). Factor z(g).
-3*g*(g - 1)*(2*g + 1)
Factor -1/2*m**2 + 23/2 - 11*m.
-(m - 1)*(m + 23)/2
Let d(l) be the second derivative of -l**5/15 + l**4/2 - l**3/3 - 4*l**2/3 + 61*l. Let d(x) = 0. What is x?
-1/2, 1, 4
Let j(o) = 4*o - 6. Let l be j(2). Let m(q) be the first derivative of -5 - 4/3*q**l + 8/3*q + 2/9*q**3. Solve m(y) = 0.
2
Let i = 13 - 13. Let 3*n**3 + i*n**4 - n**2 + 5*n**4 - 4*n**4 - 3*n**4 = 0. Calculate n.
0, 1/2, 1
Let b(i) be the third derivative of 0 + 0*i**3 - 2*i**2 + 9/320*i**6 + 1/160*i**5 + 1/70*i**7 + 0*i**4 + 12*i. Solve b(k) = 0.
-1, -1/8, 0
Let i = 677/272 + 3/272. Let v(o) be the first derivative of 0*o - 3*o**2 + 11*o**3 - i*o**6 + 51/5*o**5 + 4 - 63/4*o**4. Find t, given that v(t) = 0.
0, 2/5, 1
Let t = 129 - 901/7. Let c = -100 - -103. Let 0 - 4/7*h**2 + 0*h + t*h**c = 0. What is h?
0, 2
Let w(h) be the first derivative of -h**4/6 - 16*h**3/3 - 64*h**2 - 31*h - 39. Let p(d) be the first derivative of w(d). Let p(v) = 0. Calculate v.
-8
Determine k, given that 55*k**3 - 5*k**2 - 80*k**5 + 15*k**2 - 10*k**4 + 25*k**5 = 0.
-1, -2/11, 0, 1
Let w(k) be the second derivative of 3*k**6/10 + 3*k**5/20 - 9*k**4/4 - 9*k**3/2 - 3*k**2 + 186*k. Suppose w(o) = 0. Calculate o.
-1, -1/3, 2
Let n(y) = 2*y**3 - 7*y**2 - 11*y - 8. Let v(u) = -2*u**3 + 8*u**2 + 10*u + 8. Let q(i) = -4*n(i) - 3*v(i). Let q(l) = 0. What is l?
-1, 4
Solve 645*t**3 - 1217*t**4 + 604 + 1454 + 1227*t**4 - 16005*t + 9905*t**2 + 3387 = 0.
-33, 1/2, 1
Let v(s) = s**4 - s**2 - 4*s. Let k(n) = 40*n**4 - 96*n**3 + 200*n**2 - 320*n + 72. Let w(t) = 2*k(t) - 52*v(t). Determine o so that w(o) = 0.
6/7, 1, 2, 3
Let n = 345 + -7244/21. Let p(h) be the second derivative of 0*h**2 + 4*h + 1/70*h**5 + 1/21*h**3 + n*h**4 + 0. Suppose p(x) = 0. Calculate x.
-1, 0
Let o(n) = 33*n**3 + 115*n**2 + 102*n + 18. Let z(x) = 17 + 56*x**2 + 59*x**2 + 0*x**2 + 32*x**3 + 103*x. Let l(m) = 3*o(m) - 2*z(m). Find w such that l(w) = 0.
-2, -1, -2/7
Let h(n) be the third derivative of -1/150*n**5 + 0*n**3 + 25*n**2 + 0*n + 0 + 1/15*n**4. Factor h(v).
-2*v*(v - 4)/5
Let j be 2/(-8) + (-10)/(-40). Solve 4*q**4 - 4*q**2 + j*q**3 + 2*q**5 + 3*q - 5*q + 0*q**3 = 0 for q.
-1, 0, 1
Suppose 2*a - 2*i = -4*i + 16, 4*i = 5*a - 22. Factor 2*t - 4*t - t - 6*t**2 + 5*t + a*t**3 - 2*t**4.
-2*t*(t - 1)**3
Suppose 5*s + 15 = 0, 4*f + 5*s - s = 20. Suppose f*n - 18 = 6. Factor -14/3*j**n + 32/3*j + 8/3 + 10/3*j**2.
-2*(j - 2)*(j + 1)*(7*j + 2)/3
Let i(q) be the first derivative of q**5 + 15*q**4 + 65*q**3 + 70*q**2 - 99. Factor i(l).
5*l*(l + 1)*(l + 4)*(l + 7)
Let i(m) be the second derivative of 1/270*m**6 - 1/18