= 557 - 683. Factor s*a**4 + 20*a**3 - 20*a - 3061 - 30*a**2 + 3066 + 7*a**4.
5*(a - 1)*(a + 1)**2*(5*a - 1)
Let l(x) be the second derivative of -x**6/30 - 9*x**5/10 - 11*x**4/12 + 17*x**3 + 380*x - 2. Solve l(z) = 0.
-17, -3, 0, 2
Let g(o) = -17*o**2 - o - 6. Let w(f) = -42*f**2 - 6021*f - 2025. Let p(y) = 3*g(y) - w(y). Determine b so that p(b) = 0.
-1/3, 669
Let h(b) be the third derivative of b**8/840 - 31*b**7/525 + 11*b**6/60 + 91*b**5/150 - 28*b**4/15 - 116*b**3/15 + 1128*b**2. Solve h(n) = 0.
-1, 2, 29
Let t(b) = -b**2 + 156*b + 25. Let d(p) = 160*p + 20. Let v(a) = -5*d(a) + 4*t(a). Factor v(h).
-4*h*(h + 44)
Let f(c) be the first derivative of -c**4 + 4*c**3/3 + 64*c**2 - 240*c - 1088. Factor f(v).
-4*(v - 5)*(v - 2)*(v + 6)
Determine w, given that -3825694144/9*w + 747923205152/9 + 2/9*w**4 + 2446096/3*w**2 - 6256/9*w**3 = 0.
782
Let v(r) be the third derivative of r**7/42 - 14*r**6/15 + 57*r**5/5 - 172*r**4/3 + 224*r**3/3 + 1395*r**2. Factor v(n).
(n - 14)*(n - 4)**2*(5*n - 2)
Let o(x) be the first derivative of -5/6*x**2 + 0*x + 5/6*x**4 - 5/9*x**3 - 60. Factor o(c).
5*c*(c - 1)*(2*c + 1)/3
Let m(s) be the first derivative of 64 - s**2 + 0*s + 1/3*s**3 + 1/2*s**4 - 1/5*s**5. Factor m(k).
-k*(k - 2)*(k - 1)*(k + 1)
Let x(z) = -z**2 + 7*z + 92. Let r be x(14). Let d(i) = -i**2 - 8*i. Let j(h) = -2*h**2 - 15*h. Let n(u) = r*j(u) + 11*d(u). Factor n(v).
v*(v + 2)
Let q(i) = 22*i**2 - i + 23*i**2 - 43*i**2. Let j(n) = n**2 + 7*n + 3. Let p(b) = -j(b) - q(b). Factor p(f).
-3*(f + 1)**2
Let x be 144/156 + -1 + (-15)/(-195). Determine q so that -1/2*q**4 - 3/2*q**3 + 0*q**2 + 2*q + x = 0.
-2, 0, 1
Factor b**2 + 177*b + 3302 - 1552 - 1574.
(b + 1)*(b + 176)
Suppose -11*i - 10 = -i. Let g(d) = d**2 - d + 1. Let h(o) = 3*o - 8. Let z(s) = i*h(s) - 2*g(s). Find b such that z(b) = 0.
-2, 3/2
Let x(n) be the first derivative of 2*n**4 - 40 - 2*n**2 - 8/3*n**3 - 2/3*n**6 + 4/5*n**5 + 4*n. Factor x(m).
-4*(m - 1)**3*(m + 1)**2
Let f be (1/(-39))/(1497/(-1805382)). Solve -18/13*b**3 - 512/13*b - 168/13 - f*b**2 = 0.
-21, -2/3
Let g = -69035/12 - -5753. Let n(h) be the second derivative of -g*h**3 + 1/24*h**4 + 0 + 10*h - 1/2*h**2. Solve n(l) = 0 for l.
-1, 2
Solve -1840/13*o + 0 + 1840/13*o**3 - 2/13*o**2 + 2/13*o**4 = 0.
-920, -1, 0, 1
Let o be 46/(-14) - -3 - 5005/(-9800). Let y(r) be the first derivative of 8 + 0*r**2 - 6/25*r**5 - 1/15*r**3 + 0*r + o*r**4 + 1/12*r**6. Factor y(w).
w**2*(w - 1)**2*(5*w - 2)/10
Let p(q) = -q**2 - 2*q + 26. Let y be p(-6). Suppose -3*a**4 - 1499*a**5 - a**4 - y*a**2 + 10*a + 2*a**4 - 14*a**3 + 4 + 1503*a**5 = 0. What is a?
-1, -1/2, 1, 2
Let p = -4038/23 + 12574/69. Factor -p*g + 0 - 2/3*g**2.
-2*g*(g + 10)/3
Let m(h) = -8*h**3 + h. Let t(c) = -17*c**3 + 87*c**2 + 362*c + 364. Let z(n) = -2*m(n) + t(n). Find o, given that z(o) = 0.
-2, 91
Let o(m) be the second derivative of 1/10*m**5 + 6/5*m**2 + 17/30*m**4 + 53/45*m**3 - 1/225*m**6 + 56 + m. Determine y so that o(y) = 0.
-1, 18
Let h = 6 - 18. Let p be 16/h*(-9)/6. What is g in -3*g - g**3 - 2*g**p + 266 + 5*g**2 - 265 = 0?
1
Let j(q) = -q**3 + 12*q**2 + q - 10. Let m be j(12). Suppose -11*c + 36588 - m*c**2 - 3*c + 0*c**2 - 36572 = 0. Calculate c.
-8, 1
Let j(l) = -55*l**4 + 29*l**3 + 46*l**2 - 43*l - 12. Let r(d) = 18*d**4 - 10*d**3 - 16*d**2 + 14*d + 4. Let x(h) = 2*j(h) + 7*r(h). Find a, given that x(a) = 0.
-1, -1/4, 1
Factor 8*l**2 - 316*l + 406*l + l**3 + 4*l**3 - 7*l**3.
-2*l*(l - 9)*(l + 5)
Let a(u) be the first derivative of u**9/756 - u**8/140 - u**7/210 + u**6/30 + 2*u**3/3 - 61*u**2 - 14. Let g(x) be the third derivative of a(x). Factor g(o).
4*o**2*(o - 3)*(o - 1)*(o + 1)
Let t(z) be the second derivative of -z**9/98280 + z**8/5460 + z**4/4 - 3*z - 7. Let o(j) be the third derivative of t(j). Factor o(r).
-2*r**3*(r - 8)/13
Let j(x) = -17*x**4 + 133*x**3 + 171*x**2 + 7*x - 21. Let t(z) = -5*z**4 + 45*z**3 + 56*z**2 + 2*z - 6. Let y(c) = -4*j(c) + 14*t(c). Solve y(k) = 0.
-1, 0, 50
Let q be 10/4*36/15. Suppose 51 + 45 = q*a. Let 4 - 3*g**2 - 5*g**2 - 18*g + a*g**2 = 0. What is g?
1/4, 2
Factor 2/7*k**2 - 4*k + 26/7.
2*(k - 13)*(k - 1)/7
Determine c so that -30 + 13*c - 4/3*c**2 = 0.
15/4, 6
Suppose -9*y + 19 - 1/4*y**2 = 0. Calculate y.
-38, 2
Let b be 8/(-18)*(-189)/14. Let x be 13/4 - ((-250)/(-40) - b). Find c, given that 171/2*c**2 + 15/2*c**4 + 48*c**x + 12 + 57*c = 0.
-4, -1, -2/5
Let i(g) be the third derivative of -2/15*g**6 + 0*g + 1/420*g**7 - 121/6*g**4 - 8*g**2 - 1331/12*g**3 + 7 + 11/4*g**5. Factor i(z).
(z - 11)**3*(z + 1)/2
Solve -2349*o + 947 + 283 + 5*o**2 + 600 + 514*o = 0 for o.
1, 366
Suppose -5*f = 4*d - 12, 3*f - 332*d + 329*d + 9 = 0. Let a(m) be the first derivative of 2/5*m**3 + 0*m**2 - 3/20*m**4 - 6 + f*m - 9/25*m**5. Factor a(b).
-3*b**2*(b + 1)*(3*b - 2)/5
Let b = -52/3099 + 6562/21693. Suppose -b*a**2 - 10/7*a + 2/7*a**3 - 6/7 = 0. What is a?
-1, 3
Let q(s) be the third derivative of 1/3*s**4 + 0*s + 2 + 14*s**2 + 1/15*s**5 - 2*s**3. Find x, given that q(x) = 0.
-3, 1
Let 0 + 2/9*l**4 - 22*l**3 - 1040/9*l**2 + 0*l = 0. Calculate l.
-5, 0, 104
Let v(k) be the third derivative of -k**5/15 + 2*k**4 + 72*k**3 - 93*k**2 + 5. Factor v(w).
-4*(w - 18)*(w + 6)
Let u(a) = -a**3 + 17*a**2 - 23*a + 119. Let q be u(16). Let g be (q/(-140)*3)/(3/(-144)). Let 12/5*l - g - 1/5*l**2 = 0. Calculate l.
6
Suppose 5*s - 2*b = 13, 3*s + 0*s - 2*b = 7. Suppose 6*d - 3*d = 4*m - 23, 0 = s*m + 2*d - 30. Let m*l**4 - 2*l - 887*l**3 - 2*l + 899*l**3 = 0. Calculate l.
-1, 0, 1/2
Let b be (15686/(-44))/(-31) + -11 + 0. Let k be 0/(0 - -1) - -3. Suppose 2*m**k - 5/4*m - 1/4 - b*m**2 = 0. Calculate m.
-1/2, -1/4, 1
Suppose -33*k + 3*k = -120. Let l(h) be the second derivative of 1/20*h**6 + 0 + 0*h**5 + 3/4*h**2 + 18*h - 1/4*h**k + 0*h**3. Factor l(r).
3*(r - 1)**2*(r + 1)**2/2
Let j(m) be the second derivative of 0*m**2 - 4/33*m**4 + 9 + 4/33*m**3 - 2*m + 1/22*m**5 - 1/165*m**6. Determine p so that j(p) = 0.
0, 1, 2
Let k(b) = -5*b**3 + 1395*b**2 - 1393*b - 3. Let w(n) = -7*n**3 + 2789*n**2 - 2787*n - 5. Let d(o) = 5*k(o) - 3*w(o). Let d(u) = 0. What is u?
-349, 0, 1
Let p(b) be the second derivative of b**5/150 - 167*b**4/90 - 338*b**3/45 + 56*b - 5. Factor p(j).
2*j*(j - 169)*(j + 2)/15
Let r(k) be the first derivative of 3*k**5/35 + 3*k**4/4 + 2*k**3/7 - 60*k**2/7 + 543. Factor r(a).
3*a*(a - 2)*(a + 4)*(a + 5)/7
Let 21/2*l**4 + 0*l**2 + 12*l**3 + 0*l - 3/2*l**5 + 0 = 0. Calculate l.
-1, 0, 8
Let w = 101/177 + -25/354. Let n(j) be the first derivative of -4*j + 7/2*j**2 - w*j**3 - 22. Factor n(q).
-(q - 4)*(3*q - 2)/2
Let o(u) be the third derivative of 0*u**3 - 1/30*u**6 + 5*u**2 + 1/15*u**5 + 0 - 3*u + u**4. Factor o(x).
-4*x*(x - 3)*(x + 2)
Let q(r) be the first derivative of -4*r**3/3 + 1616*r**2 - 652864*r + 5. Solve q(c) = 0.
404
Let u(y) = 1542279*y**3 + 1550871*y**2 + 8616*y + 24. Let i(a) = -2*a**3 - 2. Let l(j) = 6*i(j) + u(j). Solve l(n) = 0.
-1, -2/717
Let h(g) = g**3 - 17*g**2 - 16*g - 12. Let n be h(18). Suppose -450 + 2*j**4 - 60*j + 19747*j**2 + n*j**3 - 19299*j**2 + 36*j**3 = 0. Calculate j.
-15, -1, 1
Determine b so that -1776 - 29936*b**2 - 880*b - 29937*b**2 + 59877*b**2 = 0.
-2, 222
Let j(k) be the second derivative of -17/30*k**3 - 1 - 97*k - 1/15*k**4 - 13/10*k**2. Factor j(p).
-(p + 1)*(4*p + 13)/5
Let r(h) be the third derivative of -2*h**7/105 - 179*h**6/260 - 57*h**5/65 - 10*h**4/39 - 1391*h**2. What is x in r(x) = 0?
-20, -1/2, -2/13, 0
Let i(o) be the third derivative of -o**8/3864 - o**7/805 + 2*o**6/345 + 2*o**5/115 - 4*o**4/69 + 921*o**2. Find h such that i(h) = 0.
-4, -2, 0, 1, 2
Let l(s) be the third derivative of s**10/100800 - s**8/13440 + 79*s**5/60 + 216*s**2. Let g(h) be the third derivative of l(h). Factor g(n).
3*n**2*(n - 1)*(n + 1)/2
Let p(s) = -s**2 - 20*s + 60. Let o(v) = -21*v + 57. Let a(c) = -4*o(c) + 3*p(c). Factor a(t).
-3*(t - 4)**2
Let c be (-27)/12*(-1 - (11 + 0)). Suppose -p - 8*p = -c. Suppose -14*z**2 - 16*z + 4*z**4 + 38*z**2 + 16 + 8*z**p - 22*z**2 - 14*z**2 = 0. What is z?
-2, 1
Let n(p) = -p**3 + 30*p**2 + 10*p + 55. Let q be n(30). Factor -q*i**2 - 3*i**4 + 174*i**2 - 15*i**3 + 169*i**2.
-3*i**2*(i + 1)*(i + 4)
Let o be (-6 + -1 + 1)/(-2). Let w = 2671 - 34721/13. Determine d, g