 0 - 16*x**2 - 1/504*x**8 + 0*x. Factor d(c).
-2*c**4*(c + 1)/3
Let a(t) be the first derivative of 3*t**5/10 - 9*t**4/4 + 6*t**3 - 15*t**2/2 + 9*t/2 - 177. Factor a(g).
3*(g - 3)*(g - 1)**3/2
Let o = -39937 - -39939. Suppose 2/9*c**o + 0 - 10/9*c = 0. Calculate c.
0, 5
Let f(i) be the third derivative of i**7/42 + i**6/4 - 55*i**4/12 + 25*i**3/2 + 13*i**2 + 3*i. Factor f(m).
5*(m - 1)**2*(m + 3)*(m + 5)
Let g(t) be the first derivative of -33 + 0*t**2 + 0*t + 1/7*t**5 - 2/21*t**3 + 3/28*t**4. Find o, given that g(o) = 0.
-1, 0, 2/5
Suppose 3*o + 25 = 2*d, -3*d + 3 = -2*o - 27. Let u = 10 - d. Factor 0 + 16*z**2 - 5*z**u - 6 + 3*z**3 + 8*z + 2.
(z + 2)**2*(3*z - 1)
Let f(d) be the first derivative of -d**5/10 - 7*d**4/8 - 11*d**3/6 - 5*d**2/4 + 93. Let f(k) = 0. Calculate k.
-5, -1, 0
Let i(o) be the third derivative of o**8/504 - 4*o**7/315 + o**6/36 - o**5/45 + 66*o**2. Factor i(p).
2*p**2*(p - 2)*(p - 1)**2/3
Factor 4/3*n**4 + 0*n + 0 - 16/3*n**2 + 0*n**3.
4*n**2*(n - 2)*(n + 2)/3
Let g be 10/(-210)*3 - 325/(-70). Factor g + 3*w + 1/2*w**2.
(w + 3)**2/2
Let s(o) = 5*o**2 + 18*o + 24. Let j(z) = z**2 + z. Let m(a) = 4*j(a) - s(a). Solve m(f) = 0.
-12, -2
Suppose 2 = 18*g - 17*g. Solve 310*y**3 + 8*y**2 + g*y**2 - 315*y**3 = 0.
0, 2
Let n(u) = 2*u**4 - 315*u**3 - 3504*u**2 - 6080*u - 2888. Let i(c) = -2*c**4 + 157*c**3 + 1752*c**2 + 3040*c + 1444. Let z(q) = 5*i(q) + 3*n(q). Factor z(v).
-4*(v + 1)**2*(v + 19)**2
Let v(f) = f**2. Suppose 0 = z - 2 - 4. Let d(u) = 5*u**2 + 1. Let x(j) = z*v(j) - d(j). Let x(b) = 0. What is b?
-1, 1
Suppose -9*a + 28 - 1 = 0. Let -20/3*l**2 + 6*l - 8/3*l**a - 10/3*l**5 - 4/3 + 8*l**4 = 0. What is l?
-1, 2/5, 1
Suppose 18*n = 14*n + 12. Factor -25*p + 5*p**n + 13*p + 7*p.
5*p*(p - 1)*(p + 1)
Let h = -528 - -533. Let h + 5/2*k**2 + 15/2*k = 0. Calculate k.
-2, -1
Suppose -v + 2*y = -0*v - 31, 0 = -5*y - 25. Let h be 12/v*(5/(-2) + 4). Find q such that -2/7*q**2 - 2/7*q**5 + 0 + 0*q - 6/7*q**4 - h*q**3 = 0.
-1, 0
Let u = -104 + 106. Factor 4*n**3 - 21*n**2 + 0*n**3 + 5*n + 0*n**u.
n*(n - 5)*(4*n - 1)
Suppose -6 = w + 4. Let v(h) = h**2 + 8*h - 18. Let g be v(w). What is d in 12/7*d + 2/7*d**g + 18/7 = 0?
-3
Let i(c) be the second derivative of c**6/240 - c**4/16 + c**3/6 - 9*c**2/2 + 14*c. Let x(j) be the first derivative of i(j). Factor x(p).
(p - 1)**2*(p + 2)/2
Let z(r) = -r + 14. Let j be z(6). Let -29 - 35 + 4*a**5 - 25*a - 100*a**2 + 20*a**4 + j*a + 177*a - 20*a**3 = 0. What is a?
-4, 1
Suppose -69*z - z + 210 = 0. Let b(y) be the third derivative of -1/180*y**6 - 5*y**2 + 0 + 0*y**4 + 0*y**z + 0*y + 0*y**5 + 1/630*y**7. Factor b(t).
t**3*(t - 2)/3
Let s be 15/(-6)*(6/(-5))/3. Let x be (-30)/(-10) + (1 - s). Factor 4/7*a**2 - 2/7*a**x + 0 - 2/7*a.
-2*a*(a - 1)**2/7
Factor -1872/5*s - 3/5*s**3 - 2028/5 + 153/5*s**2.
-3*(s - 26)**2*(s + 1)/5
Let l(q) be the first derivative of -6*q**3 + 0*q**2 - 3 + 6*q**4 - 21/5*q**5 + 0*q. Let a(x) = -x**4 + x**3 - x**2. Let w(n) = 18*a(n) - l(n). Factor w(d).
3*d**3*(d - 2)
Determine f, given that -7*f + f**2 + 7*f - 3*f**2 + 2*f**5 - 2*f**3 + 2*f**4 = 0.
-1, 0, 1
Let o = 23 - 21. Let f be (o/(-8)*0)/(-4). Factor -5 + 12*u - 13 + f + 0*u**2 - 2*u**2.
-2*(u - 3)**2
Solve -67/2*l - 35/2*l**2 - 33/2 - 1/2*l**3 = 0 for l.
-33, -1
Let v(b) be the first derivative of 3*b**2 - 1/3*b - 9*b**3 + 4. Solve v(n) = 0.
1/9
Suppose -3*h + 2*h = -1, h = -s + 13. Suppose p - s = -10. Determine g so that 28*g**5 - 7*g - 8 - 58*g**2 + 16*g**3 + 0*g**3 - 37*g + p*g**2 + 64*g**4 = 0.
-1, -2/7, 1
Suppose 123 = -2*z + 3*o, 63 + 61 = -2*z + 4*o. Let g be 4/(-25)*z/24. Factor 0 - 2/5*t + 2/5*t**2 - 2/5*t**4 + g*t**3.
-2*t*(t - 1)**2*(t + 1)/5
Factor 0*p + 0 + 2/5*p**5 + 0*p**2 + 512/5*p**3 + 64/5*p**4.
2*p**3*(p + 16)**2/5
Factor 0 - 24/5*d + 2/5*d**2 + 2/5*d**3.
2*d*(d - 3)*(d + 4)/5
Let o(z) be the first derivative of 7*z**4 + 148*z**3/3 - 64*z**2 - 48*z + 292. Determine l, given that o(l) = 0.
-6, -2/7, 1
Let m(w) = -9*w**2 + 3468*w + 168564. Let o(y) = -2*y**2 + 696*y + 33713. Let v(h) = -5*m(h) + 24*o(h). Determine l, given that v(l) = 0.
-106
Suppose -5*q + 2*o = -602, 5*o + 475 = 5*q - 115. Let f = 124 - q. Find z such that 0 - 8/5*z**f + 6/5*z - 2*z**3 + 4/5*z**4 = 0.
-1, 0, 1/2, 3
Let a(l) be the first derivative of 5*l**3 - 4*l**3 + 10 - 6*l**2 + 12*l - 9 + 10. Find d, given that a(d) = 0.
2
Factor 83*s + 13*s + 108 - 9*s + 89*s + 64 + 4*s**2.
4*(s + 1)*(s + 43)
Factor 178/7*a**2 + 0 + 176/7*a + 2/7*a**3.
2*a*(a + 1)*(a + 88)/7
Let s = -178/3 - -60. Let o = -1085/3 + 363. Factor s*k - 4/3*k**2 - 2/3*k**3 + o.
-2*(k - 1)*(k + 1)*(k + 2)/3
Let l(p) be the third derivative of p**5/270 - 17*p**4/18 + 101*p**3/27 + 274*p**2. Factor l(g).
2*(g - 101)*(g - 1)/9
Let d(x) = 20*x - 1580. Let g be d(79). Factor g - 2/13*f**3 + 10/13*f**2 + 0*f.
-2*f**2*(f - 5)/13
Suppose 13 = 5*r + b - 63, -3*r + 5*b = -40. Factor 13*k - 10*k**2 + 5*k**2 - 33*k - r.
-5*(k + 1)*(k + 3)
Let z = -749/3 + 2249/9. Solve -z*h**4 - 16/9*h + 0 - 88/9*h**2 - 116/9*h**3 + 14/3*h**5 = 0.
-1, -2/3, -2/7, 0, 2
Let z(h) be the third derivative of -h**7/210 - h**6/10 - 3*h**5/5 - 40*h**2 - 2*h. Factor z(n).
-n**2*(n + 6)**2
Determine z, given that 2 - 113/8*z - 3/2*z**3 + 199/8*z**2 = 0.
1/4, 1/3, 16
Let i(r) be the second derivative of r**7/2940 + r**6/630 + 7*r**3/6 - 10*r. Let j(d) be the second derivative of i(d). Factor j(o).
2*o**2*(o + 2)/7
Factor 27/7*i**4 + 0 + 0*i**3 + 0*i**2 + 0*i - 3/7*i**5.
-3*i**4*(i - 9)/7
Suppose 0 = r - 2. Factor 22*c**r + 2*c - 10*c**2 - 11*c**2 + 1.
(c + 1)**2
Suppose 13 = -2*v + 37. Factor -v + 2*f**4 + 4*f**3 + 12 - 2*f**5.
-2*f**3*(f - 2)*(f + 1)
Let g = -1422 - -1422. Let i(b) be the third derivative of 5/144*b**4 + g + 2*b**2 + 1/18*b**3 + 1/80*b**6 - 2/45*b**5 + 0*b. What is n in i(n) = 0?
-2/9, 1
Let y(a) be the second derivative of -a**6/75 - 3*a**5/50 - a**4/15 + 13*a - 4. Find n, given that y(n) = 0.
-2, -1, 0
Let t(n) be the second derivative of n**6/90 - n**5/5 + 3*n**4/2 - 13*n**3/6 + 5*n. Let i(z) be the second derivative of t(z). Factor i(q).
4*(q - 3)**2
Suppose -3*h + h + 4 = 0. Factor 7*z**2 + 11*z - 3*z + z**h + 2*z**5 - 4*z**4 - 6*z**3.
2*z*(z - 2)**2*(z + 1)**2
Let s be 2/(-8)*7/(-147)*0. Suppose 2/3*v**3 + 0*v + 0*v**4 + s - 4/9*v**2 - 2/9*v**5 = 0. Calculate v.
-2, 0, 1
Let c(t) = t**4 + t**3 - t**2 + t - 1. Let f(q) = -5*q**4 + q**3 + 3*q**2 - 25*q + 22. Let o be (-2)/(0 - (-4)/(-6)). Let a(b) = o*f(b) + 12*c(b). Factor a(j).
-3*(j - 3)**2*(j - 1)*(j + 2)
Let c be 2/4 - 2/4. Find v, given that v + 5*v**2 - v**3 - 1 - 7*v**2 + c + 3 = 0.
-2, -1, 1
Suppose 0 = c - 3*b - 12, 2*b = -4*c + 5*c - 13. Determine s so that 6*s**4 - 2*s**4 + c*s**3 + 8*s**2 - 3*s**3 = 0.
-2, -1, 0
Let s = 26 + -22. Let a(z) = -9*z**4 + 13*z**3 + 12*z**2 - 16*z - 21. Let q(l) = 4*l**4 - 6*l**3 - 6*l**2 + 8*l + 10. Let f(j) = s*a(j) + 10*q(j). Factor f(g).
4*(g - 2)**2*(g + 1)**2
Let p = 6267/40 - 470/3. Let c(s) be the second derivative of -1/252*s**7 + 0*s**3 + 0*s**2 + 0*s**6 + p*s**5 + 0 + 0*s**4 - 7*s. Suppose c(v) = 0. Calculate v.
-1, 0, 1
Let y(j) be the third derivative of -j**8/168 + 2*j**7/105 + j**6/60 - j**5/15 + 15*j**2 - j. Find p such that y(p) = 0.
-1, 0, 1, 2
Let w be 10/24 - (-7)/(-28). Let k be (-24)/(-2) + 920/(-92). Find o such that 1/6 + 1/3*o + w*o**k = 0.
-1
Find o, given that -40*o + 104*o**3 + 12*o**2 + 583 + 60*o**4 - 583 + 8*o**5 = 0.
-5, -2, -1, 0, 1/2
Let t(p) be the third derivative of -1/360*p**5 + 22*p**2 + 0*p + 0 + 7/144*p**4 - 1/6*p**3. Find i, given that t(i) = 0.
1, 6
Let z(s) be the third derivative of s**5/210 - 31*s**4/42 + 961*s**3/21 - 2*s**2 + 32*s. Factor z(d).
2*(d - 31)**2/7
Let n(c) be the third derivative of -1/84*c**4 + 0*c - 45*c**2 - 2/735*c**7 + 0 + 0*c**6 + 0*c**3 + 1/105*c**5 + 1/1176*c**8. Factor n(d).
2*d*(d - 1)**3*(d + 1)/7
Factor -1 + 1/6*n**2 + 1/6*n.
(n - 2)*(n + 3)/6
Let o(n) be the second derivative of 2*n**5 + 13*n**4 + 2 + 58/3*n**3 - 17*n + 12*n**2. Factor o(b).
4*(b + 3)*(2*b + 1)*(5*b + 2)
Let d = -16625 - -16625. Determine c, given that 1/6*c**2 - 1/6*c + d = 0.
0, 1
Let y(j) be the third derivative of -j**5/12 - 25*j**4/6 - 125*j**3/2 + 5*j**2 - 52*j. Factor y(m).
-5*(m + 5)*(m + 15)
Let -3/5*y**4 - 9/10*y**3 + 7/5*y**2 + 0*