04)). Determine y so that -1/4*y**2 + 1/2*y + 1/4*y**5 + 0 - o*y**3 + 1/4*y**4 = 0.
-2, -1, 0, 1
Let i be (-16)/14*133/(-171). Factor -i*q**3 + 8/9*q**2 + 0*q + 2/9*q**4 + 0.
2*q**2*(q - 2)**2/9
Let m(c) be the second derivative of c**6/72 + c**5/2 + 15*c**4/2 - 13*c**3/6 + 13*c. Let h(j) be the second derivative of m(j). Factor h(k).
5*(k + 6)**2
Let s be ((-36)/16)/(13/(-52)) + -9. Determine m so that -15/2*m**3 + s - 5*m + 5/2*m**4 + 5/2*m**5 - 25/2*m**2 = 0.
-1, 0, 2
Let g be (4/(-6) + 1694/147)*-18. Let o = 196 + g. Factor -10/7*c + 10/7*c**3 + o - 4/7*c**2.
2*(c - 1)*(c + 1)*(5*c - 2)/7
Let v(w) be the third derivative of -w**5/240 - w**4/12 - 7*w**3/24 - 391*w**2. Factor v(l).
-(l + 1)*(l + 7)/4
Solve -3*w**2 - 123 - 13 - 94 - 58 + 150*w = 0.
2, 48
Solve 9*p + 1/3*p**2 + 0 = 0.
-27, 0
Let m be 21/(-28) + 0 + (95/20 - 2). Determine u, given that 2/11*u**3 + 8/11 + 10/11*u**m + 16/11*u = 0.
-2, -1
Suppose 4*c + j + 11 = 2*c, -2*j + 2 = 0. Let g be (-1)/c - (-929)/6. Factor 1 + 35 - 35*b + 100*b**2 + g*b.
4*(5*b + 3)**2
Let j be 2 - (351/(-91) - (-1)/(-7)). Let v(q) be the first derivative of 1/3*q**3 + 0*q**2 + j - 1/4*q**4 + 0*q. Suppose v(r) = 0. Calculate r.
0, 1
Determine t, given that -14/5*t**4 + 18/5*t**3 + 0 - 8/5*t + 24/5*t**2 = 0.
-1, 0, 2/7, 2
Let o(a) = a**2 + a. Let z be o(1). Factor -6*d**2 - 16*d + 4*d**3 + 12 + 16 + 4 - 2*d**z.
4*(d - 2)**2*(d + 2)
Suppose 13*p - 20 = 6. Factor 1 + 4*l - 2 - l**p - 10 + 7.
-(l - 2)**2
Let w(m) be the first derivative of -m**5/630 - 5*m**4/126 - 15*m**2 - 32. Let p(k) be the second derivative of w(k). Determine q, given that p(q) = 0.
-10, 0
Suppose -4*t + 8 = -0*t. Suppose 5*c - 3 = 3*k + 2*c, -c = -t*k + 1. Let 4*v - 5 + 1 - 3*v**4 - 4*v**3 + 4*v**k + 3*v**2 = 0. Calculate v.
-2, -1, 2/3, 1
Let t(f) be the third derivative of 0 + 0*f - 20*f**2 - 5/3*f**3 + 5/12*f**4 - 1/24*f**5. Solve t(k) = 0.
2
Let z(v) be the first derivative of -v**6/660 + v**5/55 - 3*v**4/44 + 4*v**3/33 + v**2 - 12. Let l(o) be the second derivative of z(o). Let l(x) = 0. What is x?
1, 4
Let z(m) be the third derivative of 1/50*m**5 + 0*m**3 + 3*m**2 + 1/75*m**6 - 3/40*m**4 + 0 + 0*m - 1/175*m**7 + 1/1680*m**8. Suppose z(h) = 0. Calculate h.
-1, 0, 1, 3
Let j(x) be the third derivative of 0 + 48/7*x**3 + 2/7*x**4 + 1/210*x**5 + 0*x - 31*x**2. Determine l so that j(l) = 0.
-12
Let w(o) be the third derivative of o**7/42 - o**6 + 83*o**5/6 - 55*o**4 + 605*o**3/6 + 213*o**2. Suppose w(i) = 0. What is i?
1, 11
Let x(f) be the third derivative of f**5/30 + 5*f**4/6 - 8*f**3 + 174*f**2. Factor x(w).
2*(w - 2)*(w + 12)
Suppose -5*k + 48 = -k. Suppose 0 = -8*l + 5*l + k. What is r in 13*r**3 - l*r**4 + 4*r**2 + 2*r - 13*r**3 - 2*r**5 = 0?
-1, 0, 1
Let y(z) be the third derivative of -z**6/24 - 59*z**5/12 - 23*z**2. Let y(a) = 0. Calculate a.
-59, 0
Let c(j) be the first derivative of -j**4/2 + 2*j**3/3 + 3*j**2/2 + 2*j + 16. Let i be c(2). Factor i*u + 3/7*u**2 - 12/7.
3*(u - 2)*(u + 2)/7
Factor 9/2 + 33/4*b + 9/2*b**2 + 3/4*b**3.
3*(b + 1)*(b + 2)*(b + 3)/4
Let z(w) be the third derivative of 1/15*w**5 + 0 + 0*w + 2/3*w**4 + 28*w**2 + 8/3*w**3. What is s in z(s) = 0?
-2
Let n(l) be the third derivative of l**8/20160 + l**7/1008 + l**6/180 - 7*l**5/20 + 18*l**2. Let d(a) be the third derivative of n(a). Factor d(f).
(f + 1)*(f + 4)
Let r(y) = y**2 + 12*y - 64. Let k = 149 + -165. Let w be r(k). Factor 2/9*s**2 + w + 4/9*s.
2*s*(s + 2)/9
Let t be 432/42 + (-2)/7. What is o in -t - 6*o**2 - 3*o**3 - 2 - 37*o + 58*o = 0?
-4, 1
Let o = -41/18 + 308/135. Let m(g) be the third derivative of 0 - 4*g**2 + 1/27*g**3 + o*g**5 + 0*g + 1/54*g**4. Solve m(b) = 0 for b.
-1
Let p be (-414)/(-555) + 710/13135. Factor -p*q**2 - 1296/5 + 144/5*q.
-4*(q - 18)**2/5
Let z(m) be the second derivative of m**4/60 - 37*m**3/15 - 15*m**2/2 + m - 209. Factor z(y).
(y - 75)*(y + 1)/5
Let o = -67 - -70. Suppose -2*n + 3*v = -7, -o = -v + 4*v. What is d in 0*d**n + 1/2*d**5 + 0 + 1/2*d + 0*d**4 - d**3 = 0?
-1, 0, 1
Let u(n) be the first derivative of n**5/10 - 11*n**4/4 + 20*n**3 - 117*n**2/2 + 135*n/2 - 497. Find a such that u(a) = 0.
1, 3, 15
Let t(b) = -3*b**3 + 23*b**2 - 12*b + 2. Let m = -24 + 9. Let n = -20 - m. Let u(y) = 2*y**3 - 24*y**2 + 12*y - 2. Let i(f) = n*u(f) - 6*t(f). Factor i(c).
2*(c - 1)**2*(4*c - 1)
Let y(b) be the third derivative of -13/210*b**7 + 0*b + 0 + 14*b**2 - 19/60*b**5 + 1/3*b**4 - 2/9*b**3 + 67/360*b**6 + 1/112*b**8. Factor y(u).
(u - 1)**3*(3*u - 2)**2/3
Let l(b) be the third derivative of b**8/560 - 7*b**3/3 - 7*b**2. Let q(c) be the first derivative of l(c). Factor q(g).
3*g**4
Let v(w) = w**3 + 64*w**2 + 243*w + 183. Let q be v(-60). Factor 0*y + 4/7*y**2 - 6/7*y**q + 0.
-2*y**2*(3*y - 2)/7
Factor -1984*o**2 + 5*o + 8*o + 2000*o**2 + 4*o**3 + 3*o.
4*o*(o + 2)**2
Let t(s) = -s - s**3 + 10*s + 148*s**2 - 141*s**2 - 8. Let b be t(8). Factor 0*x**2 + b*x**3 + 0 - 1/4*x**4 + 0*x.
-x**4/4
Let a be (84 - 83)*(-2)/(-7). Factor 6/7*c**2 + a - 2/7*c**3 - 6/7*c.
-2*(c - 1)**3/7
Let s = -2305/2 + 1153. Suppose 0*v + 3/2*v**2 - s*v**3 - 2 = 0. What is v?
-1, 2
Factor -12*f**2 - 1762*f**4 + 0*f**3 + 0*f**3 - 6 + 16*f + 1764*f**4.
2*(f - 1)**3*(f + 3)
Let j(x) be the second derivative of 5*x**7/168 + 7*x**6/30 + 7*x**5/20 - 23*x**4/24 - 11*x**3/8 + 9*x**2/4 - x - 77. Find b such that j(b) = 0.
-3, -1, 2/5, 1
Suppose 3*f - 2*f = 2. Let v(i) = -i. Let m(p) = p**5 + 3*p**4 + p**3 - 3*p**2 - 11*p. Let r(w) = f*m(w) - 18*v(w). Suppose r(d) = 0. Calculate d.
-2, -1, 0, 1
Let o(a) be the second derivative of -a**4/18 + 14*a**3/3 + 43*a**2/3 + 211*a. Solve o(t) = 0 for t.
-1, 43
Factor -23 - 128*z + 100*z + 4*z**2 + 71.
4*(z - 4)*(z - 3)
Find z, given that -9*z**2 - 6*z**4 + z**5 + 5*z**4 - 9*z**3 + 14*z**2 + 16*z - 12 = 0.
-2, 1, 3
Let r(q) be the third derivative of q**8/70560 - q**7/8820 + q**6/2520 - 2*q**5/15 + 9*q**2. Let j(p) be the third derivative of r(p). Factor j(d).
2*(d - 1)**2/7
Let t(o) be the second derivative of o**4/12 - 4*o**3/3 - 15*o**2 - 41*o. Let a be t(11). What is r in 0*r**2 - 2/7*r**5 + 0*r**4 + 2/7*r**a + 0*r + 0 = 0?
-1, 0, 1
Let n = 0 - 4. Let m = 0 - n. Find r such that -6 - 11858*r**m - 21 - 5 - 11088*r**3 - 219*r - 357*r - 3824*r**2 = 0.
-2/7, -2/11
Let t(f) be the first derivative of f**6/27 + 556*f**5/45 + 19597*f**4/18 + 25576*f**3/9 + 2116*f**2 + 497. Find m, given that t(m) = 0.
-138, -1, 0
Let s(y) be the second derivative of -3*y**4/10 - 83*y**3/5 - 162*y**2/5 + 103*y. Let s(b) = 0. What is b?
-27, -2/3
Let b = -355/7 + 51. Factor b*v**2 + 20/7*v + 50/7.
2*(v + 5)**2/7
Let x(c) be the second derivative of -c**4/4 + 6*c**3 - 30*c**2 + c + 8. Suppose x(n) = 0. Calculate n.
2, 10
Let -36*p**2 - 60*p - 18 - 20*p + 21*p**3 + 5*p = 0. What is p?
-1, -2/7, 3
Let v(n) = -21*n**4 - 25*n**3 + 299*n**2 + 885*n + 444. Let r(w) = w**4 + w**2 + 1. Let j(d) = 6*r(d) + v(d). Suppose j(y) = 0. What is y?
-3, -2/3, 5
Let i(h) be the second derivative of h**5/12 + 5*h**4/8 + 5*h**3/3 + 5*h**2 + 30*h. Let o(q) be the first derivative of i(q). Factor o(v).
5*(v + 1)*(v + 2)
Suppose 107 = 7*f + 86. Let u(z) be the second derivative of 0*z**2 - 1/28*z**7 + 9/40*z**5 + z + 0 + 1/2*z**f + 5/8*z**4 - 1/20*z**6. Factor u(x).
-3*x*(x - 2)*(x + 1)**3/2
Let 9/2*y**2 + 0*y + 0 - 7*y**4 - 11/4*y**5 + 21/4*y**3 = 0. Calculate y.
-3, -6/11, 0, 1
Let b = 428 + -424. Let m(k) be the third derivative of 0*k + 1/16*k**b - 1/6*k**3 - 1/120*k**5 - 6*k**2 + 0. Factor m(v).
-(v - 2)*(v - 1)/2
Let c(w) = 2*w - 6. Let n be c(2). Let i be (n - 0)*(-15)/150. Solve 3/5*r**3 + 2/5 - 3/5*r - 1/5*r**4 - i*r**2 = 0.
-1, 1, 2
Let x = 157/372 - 11/124. Suppose -25/3 - 10/3*d - x*d**2 = 0. Calculate d.
-5
Factor 450*g**2 - 12*g**3 + 980*g + 35*g**3 - 5*g**4 + 32*g**3 - 20*g**3 + 20*g**3 + 680.
-5*(g - 17)*(g + 2)**3
Let r be ((-18)/6*-2)/(4 - 2). Let t(f) be the first derivative of -f - 1/6*f**r - 3 - 3/4*f**2. Let t(c) = 0. Calculate c.
-2, -1
Let k(f) be the first derivative of 14 + 1/12*f**3 - 9/8*f**2 + 2*f. Factor k(n).
(n - 8)*(n - 1)/4
Solve -40*a - 4/3*a**2 + 256/3 = 0 for a.
-32, 2
Let r(d) be the first derivative of d**6/40 + 9*d**2/2 + 3. Let n(l) be the second derivative of r(l). What is p in n(p) = 0?
0
Let k = -516 + 527. Let j(v) be t