10/(-5) + 3 + y. Determine f, given that 20/3*f**3 - 8/3*f + b*f**2 + 0 = 0.
-1, 0, 2/5
Let w(r) be the second derivative of 3/40*r**5 + 6*r**2 + 1/3*r**3 + 1 - 70*r + 1/60*r**6 - 3/4*r**4. Factor w(p).
(p - 2)**2*(p + 1)*(p + 6)/2
Let m = 15092091/3295 + 327/3295. Let z = -4566 + m. Factor 0 + 24/5*s**2 - z*s - 2/5*s**3.
-2*s*(s - 6)**2/5
Let r = 522609 - 522607. Find j such that -30/7*j**3 - 50/7*j**r + 2/7*j**5 + 2/7*j**4 + 4*j + 48/7 = 0.
-3, -2, -1, 1, 4
Let d = 751037/563280 + 1/187760. Find y such that -2/3 - 2/3*y**2 - d*y = 0.
-1
Factor 1/2*d**5 + 0 + 0*d + 0*d**2 + 1/2*d**4 - 3*d**3.
d**3*(d - 2)*(d + 3)/2
Let z be 10 + 7030/76*(-2)/20. Suppose 0*k + z*k**5 + 9/2*k**4 + 0 - 9/2*k**2 - 3/4*k**3 = 0. What is k?
-6, -1, 0, 1
Suppose 256/9 - 512/9*u**3 + 8/3*u**4 + 14/9*u**5 + 1376/9*u**2 - 416/3*u = 0. What is u?
-8, 2/7, 2
Let i = 224 + -215. Suppose -i = -6*h + 3. Factor 2/13*v**3 + 12/13*v**h + 22/13*v + 12/13.
2*(v + 1)*(v + 2)*(v + 3)/13
Suppose 5*r - 32 = 2*q, -q + 34 = 5*r - 5*q. Factor w + 15*w + r*w + 102*w**2 + 14*w**3 + 6*w.
2*w*(w + 7)*(7*w + 2)
Let q(m) be the first derivative of m**3/15 + 47*m**2/5 + 273*m/5 + 910. Factor q(p).
(p + 3)*(p + 91)/5
Factor 193*v**3 - 555*v + 837 + 430*v**3 - 624*v**3 - 281*v**2.
-(v - 1)*(v + 3)*(v + 279)
Let f = -206574/5 + 41319. Find w such that 33/5*w**2 + f*w**3 + 3/5 + 4/5*w**4 + 19/5*w = 0.
-3, -1, -1/4
Let r(x) be the third derivative of 27/8*x**3 - 88*x**2 + 19/240*x**5 - 33/32*x**4 - 1/480*x**6 + 0 + 0*x. Factor r(f).
-(f - 9)**2*(f - 1)/4
Let n(z) be the third derivative of -1/30*z**5 + 1/36*z**4 + 0 + 27*z**2 + 0*z**3 + 1/105*z**7 + 0*z - 1/180*z**6. Suppose n(l) = 0. Calculate l.
-1, 0, 1/3, 1
Let j(d) be the second derivative of -d**6/6 - 21*d**5/4 - 25*d**4/3 - 2362*d. Factor j(z).
-5*z**2*(z + 1)*(z + 20)
Suppose 4*n - 16 = q - 7, -15 = -5*q. Let b(f) be the second derivative of 25/3*f**2 + 25*f + 1/18*f**4 - 10/9*f**n + 0. Factor b(g).
2*(g - 5)**2/3
Suppose -12*g = -14*g + 6. Factor 15*h**3 - 2*h**4 - 11*h**g - h**5 + 5*h**4.
-h**3*(h - 4)*(h + 1)
Let s be (1/22)/((-32)/176) + (-1)/(-4). What is d in -1/9*d**3 + 4/9*d**2 + 0*d + s = 0?
0, 4
Let j(v) = -2*v - 20. Let s be j(-13). Suppose 3 = 3*i - s. Factor 2*a + 15*a**2 + 4*a - 4*a - 5*a - 12*a**i.
-3*a*(a - 1)*(4*a - 1)
Let p(r) = -2*r**3 - 8*r**2 - 20*r - 24. Let y be p(-5). Let a = 128 - y. Solve 0 - 1/5*h**4 + 1/5*h - 1/5*h**3 + 1/5*h**a = 0 for h.
-1, 0, 1
Let y be -10 + 36/48*16. Let p(d) be the second derivative of 1/90*d**6 - 1/3*d**y - 1/20*d**5 + 1/36*d**4 + 10*d + 0 + 1/6*d**3. Find r such that p(r) = 0.
-1, 1, 2
Let b(z) = z - 6. Let k be b(10). Determine h so that 17*h**4 + 28*h**2 + 60*h**3 - 8*h**2 - 20*h**3 + 8*h**k + 5*h**5 = 0.
-2, -1, 0
Let c(l) be the first derivative of 3*l**4/4 + 30*l**3 - 201*l**2/2 - 288*l + 1641. Suppose c(r) = 0. Calculate r.
-32, -1, 3
Let q(b) be the third derivative of -b**5/20 - 345*b**4/4 - 119025*b**3/2 + 3801*b**2. Let q(a) = 0. Calculate a.
-345
Suppose 4*o - 4 = -4*u + 40, o = u - 21. Suppose -2*z + 21 = -2*a + 7, 4*a + u = -2*z. Factor -z*n**3 + 2*n**3 - 3*n**3.
-3*n**3
Let o(n) be the second derivative of n**7/1260 - 7*n**6/360 + 17*n**4/4 + n + 23. Let m(a) be the third derivative of o(a). Factor m(k).
2*k*(k - 7)
Let r(m) = -m**3 + 5*m**2 - 2*m - 7. Let d be r(2). Let k be (-18)/(-60)*(d + (-2)/(-3)). Factor -k - 1/4*x**3 + 1/2*x**2 + 1/4*x.
-(x - 2)*(x - 1)*(x + 1)/4
Let k(z) = 26969*z + 80912. Let t be k(-3). Determine l, given that 11/2*l**4 + 1/2*l**2 + 6*l**t + l - 13*l**3 + 0 = 0.
-2, -1/4, 0, 1/3, 1
Suppose 2*v + 4*k = -2*v - 12, 0 = -4*v - k - 6. Let p be (v - 4/(-6))*102/(-153). Factor 2/9*s + 2/3*s**3 + 0 + p*s**4 + 2/3*s**2.
2*s*(s + 1)**3/9
Let z(g) be the second derivative of g**5/90 + 719*g**4/54 - 128*g - 33. Factor z(o).
2*o**2*(o + 719)/9
Let r(y) be the first derivative of y**4/16 + 3*y**3/4 - 27*y - 3521. Factor r(o).
(o - 3)*(o + 6)**2/4
Let i(g) be the first derivative of -2*g**3/21 + 74*g**2/7 - 1828. Let i(c) = 0. Calculate c.
0, 74
Factor -8*j**2 + 156*j - 26*j - 48*j + 3*j**2 + 128*j - 2080.
-5*(j - 26)*(j - 16)
Let k(r) be the second derivative of -r**6/120 - r**5/10 - 5*r**4/48 + 19*r**3/12 - 3*r**2 - 393*r. Let k(q) = 0. What is q?
-6, -4, 1
Let d(i) be the first derivative of 3/50*i**5 + 1/300*i**6 - 12*i**2 - 3 - 5/3*i**3 + 1/4*i**4 + 0*i. Let q(o) be the second derivative of d(o). Factor q(s).
2*(s - 1)*(s + 5)**2/5
Determine r, given that 60/11*r**3 - 62/11*r - 20/11*r**4 - 40/11*r**2 + 2/11*r**5 + 60/11 = 0.
-1, 1, 2, 3, 5
Find m, given that -16368/5*m**3 + 633*m**4 + 25656/5*m**2 + 15*m**5 + 2256/5 - 13488/5*m = 0.
-47, 2/5, 2
Let z(i) = i + 40. Let p(f) = 2*f**2 + 66*f - 460. Let t(y) = -p(y) + 8*z(y). Factor t(h).
-2*(h - 10)*(h + 39)
Let k = 22246/33279 - 20/11093. Factor -6 + 0*q + k*q**2.
2*(q - 3)*(q + 3)/3
Let x = -557 + 561. Solve -7*h - 4 - x*h**2 + 5*h - 32*h - 12*h**2 = 0.
-2, -1/8
Suppose -99 = -20*m + 23*m. Let i = 36 + m. Factor 37*p**2 - 2*p**i - 86*p**2 + 45*p**2 + 6*p.
-2*p*(p - 1)*(p + 3)
Suppose -288*s + 293*s + 3*w = 59, 5*s + 4*w - 72 = 0. Let 38/3*c - 22/3*c**3 - s + 28/3*c**2 = 0. Calculate c.
-1, 3/11, 2
Let l(n) be the third derivative of n**6/1320 - 29*n**5/660 + 7*n**4/11 - 2609*n**2. Suppose l(h) = 0. What is h?
0, 8, 21
Suppose 3*s + 5 = -5*h, -5*h + s = 6*s + 15. Suppose -36*z**2 + 57*z + 16*z - 34*z + 33*z**3 + 9*z**4 - 75*z**h - 18 + 48*z = 0. Calculate z.
-6, 1/3, 1
Let f(u) be the third derivative of -u**8/72 + 29*u**7/189 - 217*u**6/540 + 83*u**5/270 + 5*u**4/54 + 959*u**2 - 1. Solve f(l) = 0 for l.
-2/21, 0, 1, 5
Suppose 0 = h - 5*k - 22, -2*k - 10 = -h - 0*h. Factor -30*u**3 - 168*u - 8*u**2 + 9*u**4 - 12*u**4 - 52*u**h - 48*u**2 - 96.
-3*(u + 2)**3*(u + 4)
Factor -2/5*h**4 - 122/5*h**2 + 28/5*h**3 + 168/5*h - 72/5.
-2*(h - 6)**2*(h - 1)**2/5
Let t = -6397253/26 + 492133/2. Let t*a - 118/13 - 4/13*a**2 = 0. Calculate a.
1/2, 59
Let q(b) be the second derivative of b**6/40 - b**5/5 - b**4/8 + 2*b**3 + 29*b**2 + 58*b. Let t(p) be the first derivative of q(p). Factor t(k).
3*(k - 4)*(k - 1)*(k + 1)
Let f(x) = -27*x**4 - 147*x**3 + 665*x**2 - 841*x + 330. Let a(g) = 4*g**4 + 21*g**3 - 95*g**2 + 120*g - 47. Let u(k) = 20*a(k) + 3*f(k). Factor u(i).
-(i - 2)*(i - 1)**2*(i + 25)
Let p(g) be the third derivative of 1/30*g**5 + 0*g + 0*g**3 + 4*g**2 + 7/16*g**4 - 1/240*g**6 + 2. Factor p(y).
-y*(y - 7)*(y + 3)/2
Let u be (2 - -4)/3*(15 - 23). Let a be (u/(-54))/((-2)/(-12)). Find t, given that 14/9*t**2 - a*t**3 + 2/3*t**4 + 0 - 4/9*t = 0.
0, 2/3, 1
Find f, given that -470*f + 1167*f**3 - 694*f - 20*f**5 + 17*f**5 + 576*f**2 - 576*f**4 = 0.
-194, -1, 0, 1, 2
Let o(u) be the second derivative of 0*u**6 + 4/5*u**2 - u**3 + 1/105*u**7 - 1/5*u**5 - 77*u + 0 + 2/3*u**4. Find i such that o(i) = 0.
-4, 1
Let w be ((-20)/(-18))/(9245/5547). Factor -8/3 + 2/3*t**2 + w*t**3 - 8/3*t.
2*(t - 2)*(t + 1)*(t + 2)/3
Find d such that 5*d**2 - 2412*d + 192*d**2 - 1026 + 149*d**2 - 2*d**3 + 1734*d = 0.
-1, 3, 171
Factor -1/7*f**3 - 13/7*f + 2*f**2 + 0.
-f*(f - 13)*(f - 1)/7
Let 0 + 3/2*y**3 + 5*y + 33/2*y**2 + 3/2*y**5 - 17/2*y**4 = 0. What is y?
-1, -1/3, 0, 2, 5
Let g(k) = 27*k**2 + 447*k - 10. Let u(o) = -35*o**2 - 595*o + 13. Let m(z) = -13*g(z) - 10*u(z). Factor m(v).
-v*(v - 139)
Factor 0 + 1/4*d**4 - 23*d - 34*d**2 - 43/4*d**3.
d*(d - 46)*(d + 1)*(d + 2)/4
Let p(m) = -44*m**2 - 44076*m + 43808. Let t(h) = 6*h**2 + 5877*h - 5841. Let y(c) = -7*p(c) - 52*t(c). Find i, given that y(i) = 0.
1, 731
Factor 33284*g**2 - 151875*g**3 + 192 + 55223*g**2 + 74168*g**2 - 10992*g.
-3*(g - 1)*(225*g - 8)**2
Let r(f) be the third derivative of 49*f**6/30 - 1148*f**5/15 + 3362*f**4/3 + 2437*f**2. Determine t, given that r(t) = 0.
0, 82/7
Let p(a) be the third derivative of -a**9/37800 - a**8/16800 + a**7/3150 + 8*a**4/3 + a**3/3 - 207*a**2. Let r(v) be the second derivative of p(v). Factor r(x).
-2*x**2*(x - 1)*(x + 2)/5
Let p(i) be the first derivative of -i**5/240 - i**4/48 + i**3 + 68*i**2 + 165. Let g(w) be the second derivative of p(w). Factor g(v).
-(v - 4)*(v + 6)/4
Suppose 4*b = 3*g + 5, 13 = 5*b - g + 4*g. Suppose 2*x - 1 = -i - 3, -2 = 3*i + b*x. Factor 2/3*d**2 + 2/3*d**4 + 0*d + i + 4/3*d**3.
2*d**2*(d + 1)**2/3
Let l(c)