)/(-5) + 27/315. Let f(l) be the first derivative of 2/7*l**2 + 1 + 2/21*l**3 + n*l. Factor f(w).
2*(w + 1)**2/7
Let v be (-56)/(-4)*6*7/24. Find o such that v*o**5 + 11/2*o**3 - 59*o**2 - 30*o + 63*o**4 - 4 = 0.
-2, -1, -2/7, 1
Let k(v) be the third derivative of v**10/982800 - v**8/43680 + v**7/16380 + 11*v**5/30 + 17*v**2. Let b(i) be the third derivative of k(i). Factor b(w).
2*w*(w - 1)**2*(w + 2)/13
Suppose 12*t + 10*t - 25*t + 9*t = 0. Let -16/5*l**4 + 0*l - 11/5*l**3 - 2/5*l**2 + t - 7/5*l**5 = 0. What is l?
-1, -2/7, 0
Let l = -3784 - -3786. Find p, given that 1/2*p + 0 - 7/2*p**3 - p**2 - l*p**4 = 0.
-1, 0, 1/4
Let c = -4/781 + 6260/2343. Solve 0 - 4/3*z - 4/3*z**3 + c*z**2 = 0.
0, 1
Suppose -6*n + 10 = -4*n. Factor 5*a**3 + 2*a**n - 7*a**3 - 8*a**4 + 6*a**3 + a**5.
a**3*(a - 2)*(3*a - 2)
Let o(f) be the third derivative of -f**6/90 - 2*f**5/15 - f**4/6 + 20*f**3/9 - 2*f**2 + 101*f. Factor o(y).
-4*(y - 1)*(y + 2)*(y + 5)/3
Let f be 6 - 2*(1 - -3)/4. Factor z**5 + 4*z**f - z**3 - 3*z**4 - z**4.
z**3*(z - 1)*(z + 1)
Let h be (1 + 1)/(2/(-38)*2). Let z(d) = -d**2 - 18*d + 29. Let p be z(h). Factor p*o + 25/3*o**2 + 3.
(5*o + 3)**2/3
Let t(p) be the second derivative of -1/5*p**5 + 0*p**2 - 2/15*p**6 + 0*p**3 + 0 + 3*p + 2/3*p**4. Let t(u) = 0. What is u?
-2, 0, 1
Let z(a) be the second derivative of a**10/30240 - a**9/7560 - a**8/6720 + a**7/1260 + a**4/2 - 9*a. Let t(q) be the third derivative of z(q). Factor t(d).
d**2*(d - 2)*(d - 1)*(d + 1)
Let s(u) be the second derivative of 1/42*u**7 - 7/12*u**4 + 0 + 1/3*u**3 + 9/20*u**5 + 0*u**2 - 1/6*u**6 + 10*u. Factor s(v).
v*(v - 2)*(v - 1)**3
Let t be ((-94)/8 - 1)/((-6)/(-24)). Let v be -2 - t*6/585*5. Factor -10/13*f**3 - v*f**4 + 0*f + 0 - 2/13*f**2.
-2*f**2*(f + 1)*(4*f + 1)/13
Let h be 4/34 + (-1072)/(-136). Suppose 2*z - 5*p - 10 - 14 = 0, z + 3*p + 10 = 0. Factor 0*x**4 - 4*x**4 - 129 + h*x**z + 125.
-4*(x - 1)**2*(x + 1)**2
Let p(d) be the second derivative of -d**6/30 + 11*d**5/40 + 3*d**4/8 + 19*d**3/6 - 11*d. Let r(n) be the second derivative of p(n). Factor r(s).
-3*(s - 3)*(4*s + 1)
Let y(i) = i**3 + 4*i**2 + i - 2. Let j be y(-3). Factor x + 8*x**3 - 120*x**5 + 122*x**5 - j - 5*x + 8*x**4 - 6*x - 4*x**2.
2*(x - 1)*(x + 1)**3*(x + 2)
Suppose 7*w - 25 = 10. Factor -g**2 + w*g - g - 3*g.
-g*(g - 1)
Factor -18*k + 1/2*k**2 + 99/2.
(k - 33)*(k - 3)/2
Let x(y) = 280*y + 63. Let d(k) = -9*k - 2. Let a(j) = -63*d(j) - 2*x(j). Let m be a(0). Factor 1/2*p**3 - 1/2*p**5 + 0 + 1/2*p**4 + m*p - 1/2*p**2.
-p**2*(p - 1)**2*(p + 1)/2
Let v(z) be the third derivative of z**5/15 - 17*z**4/6 + 40*z**3 - 487*z**2. Determine t so that v(t) = 0.
5, 12
Let z(o) be the third derivative of o**6/300 + 37*o**5/75 + 29*o**4/12 + 24*o**3/5 - 7*o**2 - o. Solve z(j) = 0 for j.
-72, -1
Let b(h) be the first derivative of -1/18*h**6 - 1/3*h**5 + h**3 + 0*h - 1/4*h**4 + 18 + 0*h**2. Let b(g) = 0. Calculate g.
-3, 0, 1
Let k(n) be the third derivative of n**7/140 - n**5/40 - n**2 + 74. Factor k(a).
3*a**2*(a - 1)*(a + 1)/2
Let q be (-19*65/2470)/((-1)/(-3)*-2). What is h in q*h**2 - 27/4 + 0*h = 0?
-3, 3
Let y(a) be the first derivative of 36*a**5/5 + 55*a**4/2 + 38*a**3 + 21*a**2 + 2*a - 32. Determine i, given that y(i) = 0.
-1, -1/18
Find s, given that 2/3*s**3 - 2/3*s**5 + 8/3*s**4 + 0 - 8/3*s**2 + 0*s = 0.
-1, 0, 1, 4
Suppose 5*q - 45 = 4*h + 16, 5*h + 3*q = -67. Let s be ((1 - 43/h) + -4)*4. Let 0 + 4/7*g + s*g**2 = 0. Calculate g.
-2, 0
Let y(j) = -4*j**2 + 14*j + 18. Let q(p) = p + 1. Let w(t) = -3*t + 23. Let r be w(8). Let l(a) = r*y(a) - 2*q(a). Factor l(n).
4*(n - 5)*(n + 1)
Factor -24*s - 76/3*s**3 + 146/3*s**2 + 0 + 2/3*s**4.
2*s*(s - 36)*(s - 1)**2/3
Solve -7311*p**2 + 75*p**5 - 1221*p**3 + 126 + 435*p**4 + 474 + 823*p + 637*p + 130*p = 0.
-5, -1/5, 2/5, 4
Factor 0 + 2/3*c**2 + 4/9*c**3 + 0*c - 2/9*c**4.
-2*c**2*(c - 3)*(c + 1)/9
Let t = 1770 + -37168/21. Determine g, given that t*g**2 + 0 - 2/21*g = 0.
0, 1
Suppose -15*x + 29 + 16 = 0. Let c(t) be the second derivative of 0 - t**2 + 1/6*t**x - 3*t + 1/12*t**4. Factor c(u).
(u - 1)*(u + 2)
Let q = -9659 - -9662. Factor -15/4*c**4 + 3/4*c**5 - 3*c**2 + 6*c**q + 0*c + 0.
3*c**2*(c - 2)**2*(c - 1)/4
Suppose 140 = -u + 148. Let p(l) be the second derivative of 3/20*l**5 + 0 + u*l - 1/2*l**4 + 1/2*l**3 + 0*l**2. Suppose p(s) = 0. Calculate s.
0, 1
Suppose -4*c + 4*s = 0, -54*c - 3*s = -55*c. Let j(u) be the first derivative of -1/18*u**6 + c*u**2 + 0*u**3 + 0*u**4 + 3 + 0*u**5 + 0*u. Factor j(y).
-y**5/3
Let v(x) be the second derivative of 1/16*x**4 + 0*x**2 - x - 1/8*x**3 + 0. Let v(i) = 0. What is i?
0, 1
Factor 1/2*m**3 - 17/2*m - 15 + 7*m**2.
(m - 2)*(m + 1)*(m + 15)/2
Suppose 3*w - 8 = 2*d + 2*d, 3*w + 32 = -4*d. Let j be 2 - (3 - -1)/w. Factor 3 - 14*q + j*q**3 + 11*q - 5*q**2 + 2*q**2.
3*(q - 1)**2*(q + 1)
Let h(n) be the third derivative of -n**6/2160 + n**5/240 - n**4/72 + 4*n**3/3 + 8*n**2. Let f(b) be the first derivative of h(b). Factor f(t).
-(t - 2)*(t - 1)/6
Let s be (-18)/(-4)*(672/40)/7. Factor 2/5*o**3 + 54/5 + s*o + 18/5*o**2.
2*(o + 3)**3/5
Let x be (2 - -6) + -3 + 1. Let c(s) = -s**3 + 4*s**2 + 14*s - 8. Let n be c(x). Suppose 20*u**3 - 7*u**3 - 14*u**3 + u**4 - 2*u**n = 0. What is u?
-1, 0
Determine l, given that 450 - 514 + 82*l**2 - 76*l**3 + 78*l**2 + 128*l**2 - 240*l = 0.
-4/19, 2
Factor 363*i**3 - 179*i**3 + 6*i**2 + 40 - 183*i**3 - 36*i.
(i - 2)**2*(i + 10)
Determine z, given that -18/5*z**4 + 42/5*z + 34/5*z**2 - 66/5*z**3 + 8/5 = 0.
-4, -1/3, 1
Find f such that -3211*f**3 - 10*f**2 + 18*f + 3201*f**3 + 4*f**2 - 2*f**4 = 0.
-3, 0, 1
Let f = 151 - 149. Determine l, given that -36*l + 37*l**2 + 8 + 8*l**4 - 7*l**f + 20*l**2 - 36*l**3 + 6*l**2 = 0.
1/2, 1, 2
Let z(f) = f**2 + 13*f + 13. Let d be z(-7). Let w = d - -29. What is m in -1/5*m**2 + 1/5*m**4 + w - 2/5*m + 3/5*m**3 - 1/5*m**5 = 0?
-1, 0, 1, 2
Suppose -80*x = -77*x - 18. Let k(t) be the second derivative of 1/8*t**x + 0 + 0*t**2 - 1/4*t**3 - t + 3/10*t**5 + 1/16*t**4. Factor k(n).
3*n*(n + 1)**2*(5*n - 2)/4
Let t(s) be the first derivative of s**4/10 - 38*s**3/5 + 1083*s**2/5 - 13718*s/5 + 10. Factor t(l).
2*(l - 19)**3/5
Let d(a) be the first derivative of -a**4/60 + 2*a**3/15 - 2*a**2/5 - 3*a + 17. Let i(s) be the first derivative of d(s). Let i(o) = 0. What is o?
2
Let t(v) be the first derivative of -1/3*v**3 + 3/16*v**4 + 1/20*v**5 + 0*v + 0*v**2 + 1. Determine h so that t(h) = 0.
-4, 0, 1
Let i(n) be the third derivative of 1/120*n**6 + 25*n**2 + 1/20*n**5 - 1/210*n**7 - 1/3*n**3 + 0 + 0*n - 1/24*n**4. Factor i(u).
-(u - 2)*(u - 1)*(u + 1)**2
Suppose -5*c + 129 = 4*w, 3*c + 2*c - 36 = -w. Determine z, given that -10*z**3 + 5 + 9*z + 10*z**2 + 16*z**4 + 6*z - w*z**4 - 5*z**5 = 0.
-1, 1
Let w = -26421 - -26425. Solve 246*s**3 - 150*s**2 + 0 + 24*s - 105/2*s**w = 0 for s.
0, 2/7, 2/5, 4
Let k be 5 + (-2 + 4)*30/(-20). Let n(a) be the first derivative of 4/3*a**3 + a**4 - 2*a**k + 9 - 4*a. Solve n(g) = 0 for g.
-1, 1
Let w be -4 + 1983/2*26/(-44317). Let j = -5/487 - w. Factor 4*a**4 + 104/7*a**3 - j*a + 80/7*a**2 + 0.
4*a*(a + 2)**2*(7*a - 2)/7
Let x(a) be the first derivative of -25*a**6/6 + 3*a**5 + 49*a**4/4 - 31*a**3/3 - 12*a**2 + 16*a + 57. What is l in x(l) = 0?
-1, 4/5, 1
Solve -14/23*v**2 - 24/23*v + 8/23 = 0.
-2, 2/7
Suppose -3*t + 5*m = -65, 0 = 23*t - 24*t + 3*m + 27. Solve 0 - t*q**2 - 24/5*q + 12/5*q**4 + 87/5*q**3 = 0.
-8, -1/4, 0, 1
Let d(r) = 2*r**3 - 2*r**2 - 4*r + 2. Let m(u) = 16*u + 3 - 3 + 7*u**2 - 2 - 5 - 7*u**3. Let w(i) = 9*d(i) + 2*m(i). Suppose w(h) = 0. What is h?
-1, 1
Determine k, given that 39/5*k - 42/5 + 3/5*k**2 = 0.
-14, 1
Solve -4/3*r**2 - 8/3*r + 0 + 4/3*r**4 + 4*r**3 - 4/3*r**5 = 0.
-1, 0, 1, 2
Factor -6*g**3 + 71*g**3 + 25*g**3 - 302*g**2 - 426*g + 35*g**2 + 3*g**5 - 15*g**3 - 168 + 87*g**4.
3*(g - 2)*(g + 1)**3*(g + 28)
Let q(m) be the first derivative of -7*m**6/36 - 4*m**5/3 - 3*m**4 - 16*m**3/9 + 4*m**2/3 + 74. Solve q(f) = 0.
-2, 0, 2/7
Factor -4/3 + 4/3*d**2 + 4*d - 4*d**3.
-4*(d - 1)*(d + 1)*(3*d - 1)/3
Let z = -7757/3 + 2593. Let l be (2*-13)/(3*-1). Let z*q + 8/3*q**3 - l*q**2 - 4/3 = 0. What is q?
1/4, 1, 2
Let v(b) be the first derivative of 2/21*b**3 - 32 - 1/7*b**2 + 0*b. Factor v(n).
2*n*(n - 1)/7
Let k(b)