28. Let a(p) = -6*p**4 + 12*p**3 + 20*p**2 - 132*p + 128. Let i(c) = -5*a(c) - 4*h(c). Factor i(w).
2*(w - 4)*(w - 2)**2*(w + 4)
Let a = 16 + -12. Suppose -6*u + a = -5*u. Let 66*c**3 - 63*c**3 + 3*c**2 - 4*c**4 + c**u - 3*c = 0. What is c?
-1, 0, 1
Let k = -57914/11 + 5268. Factor -10/11*f**2 - 12/11 - k*f.
-2*(f + 3)*(5*f + 2)/11
Let x be 11517/(-22)*(-1)/(-9). Let n = -58 - x. Factor 1/6*l - 1/6*l**3 - n*l**4 + 1/6*l**2 + 0.
-l*(l - 1)*(l + 1)**2/6
Suppose -10*y - 2*y = 3264. Let f = y + 2994/11. Determine z, given that 8/11*z**5 - 8/11*z**4 + 0 - 6/11*z**3 + 8/11*z**2 - f*z = 0.
-1, 0, 1/2, 1
Let b(k) be the third derivative of -k**8/6720 + k**7/1680 - k**5/6 - 7*k**2. Let q(t) be the third derivative of b(t). Solve q(v) = 0 for v.
0, 1
Let o(x) = 13*x**4 - 46*x**3 + 65*x**2 - 17*x + 5. Let q(p) = 20*p**4 - 68*p**3 + 99*p**2 - 26*p + 8. Let v(g) = 8*o(g) - 5*q(g). Factor v(k).
k*(k - 6)*(2*k - 1)**2
Let w(o) be the third derivative of o**8/3360 + o**7/700 - o**6/200 - o**5/60 + 7*o**4/80 - 3*o**3/20 - 40*o**2. Factor w(h).
(h - 1)**3*(h + 3)**2/10
Let w(f) be the first derivative of -f**3/6 - f**2 + 24. Factor w(i).
-i*(i + 4)/2
Let i(w) be the first derivative of 5*w**6/6 + 12*w**5/5 - 11*w**4/4 - 26*w**3/3 + 6*w**2 + 8*w + 211. Suppose i(c) = 0. What is c?
-2, -2/5, 1
Let v(a) be the second derivative of 1/5*a**5 + 9/20*a**4 + 0 + 50*a - 4/5*a**3 + 2/5*a**2. Solve v(s) = 0.
-2, 1/4, 2/5
Let c(w) = -2*w**2 + 37*w - 80. Let t be c(16). Factor 4/9*s + 4/9*s**3 + t + 8/9*s**2.
4*s*(s + 1)**2/9
Let m(z) be the first derivative of -z**4/12 + 8*z**3/9 - 17*z**2/6 + 10*z/3 - 137. What is w in m(w) = 0?
1, 2, 5
Let d(l) = -2*l + 18. Let h(b) = -b + 9. Let s(u) = -4*d(u) + 9*h(u). Let j be s(6). Factor 0*n**2 + 0*n**2 + 4*n**2 + 3*n**3 + 3*n**j + 2*n**4.
2*n**2*(n + 1)*(n + 2)
Let w(m) be the first derivative of -9*m**4/4 - 38*m**3/3 - 22*m**2 - 8*m - 24. Factor w(i).
-(i + 2)**2*(9*i + 2)
Suppose -1/6*l**5 - 49/3*l + 0 - 3/2*l**3 + 11/6*l**4 - 119/6*l**2 = 0. What is l?
-2, -1, 0, 7
Find n, given that -62/17*n + 64/17 - 2/17*n**2 = 0.
-32, 1
Let u = 80 + -80. Let v be (-92)/(-22) + (3 - 70/22). Factor 0*a**2 - 2/15*a**5 + u + 0*a + 2/15*a**v + 0*a**3.
-2*a**4*(a - 1)/15
Let w(v) be the first derivative of -v**5/20 - 5*v**4/16 + 11*v**3/12 + 33*v**2/8 + 9*v/2 + 444. Determine p, given that w(p) = 0.
-6, -1, 3
Let p be 1 + 0 + 1 + -5. Let h be ((-1)/p)/((-4)/(-24)). Let -2*c - h*c**4 - c**2 + c**4 + 3*c**2 - c**4 + 2*c**3 = 0. What is c?
-1, 0, 1
Let s(i) be the third derivative of -i**7/70 + i**6/5 - i**5/4 - 7*i**4/4 + 95*i**2. Solve s(b) = 0.
-1, 0, 2, 7
Let y = -541 - -5411/10. Let g(w) be the third derivative of 0 - 1/40*w**6 - 9*w**2 + w**3 - y*w**5 + 0*w + 1/8*w**4. Factor g(h).
-3*(h - 1)*(h + 1)*(h + 2)
Solve 6*k**3 - 2/3*k**4 - 34/3*k**2 - 6*k + 12 = 0 for k.
-1, 1, 3, 6
Let o(j) be the second derivative of 7*j**6/120 + 17*j**5/80 + j**4/8 - 2*j + 12. Factor o(i).
i**2*(i + 2)*(7*i + 3)/4
Let o(w) be the first derivative of 3 + 0*w**2 + 1/8*w**4 + 0*w**5 + 0*w - 1/120*w**6 + 5/3*w**3. Let q(i) be the third derivative of o(i). Factor q(a).
-3*(a - 1)*(a + 1)
Suppose 10 - 3 = -7*b. Let y be 14/5 - b/5. Find s, given that 0*s**2 + 1/3*s**y - 2/3 - s = 0.
-1, 2
Suppose 0 = 5*d - 5*l, d + l = 5*l - 6. Suppose -d*r + 4*w - 4 = 0, r - 6 = -4*r + 2*w. Factor -1/5*c + 2/5 - 1/5*c**r.
-(c - 1)*(c + 2)/5
Solve -92*f + 25 + 19*f**2 - 19*f**2 - 1 + 28*f**2 = 0.
2/7, 3
Let q(p) = -4*p**2 + 6*p**4 - 9*p**3 - 4*p**4 + 7*p**2 + p - 18*p**2. Let w(k) = -k**4 + 5*k**3 + 8*k**2. Let r(d) = -4*q(d) - 7*w(d). Factor r(g).
-g*(g - 2)*(g - 1)*(g + 2)
Let b(j) be the second derivative of -j**8/840 + j**7/210 + j**6/180 - j**5/30 - 4*j**3/3 + j. Let d(m) be the second derivative of b(m). Factor d(p).
-2*p*(p - 2)*(p - 1)*(p + 1)
Let u = 53737 - 53734. Factor -2/5*l + 2/5*l**2 - 1/10*l**u + 0.
-l*(l - 2)**2/10
Let x = 1380 - 1378. Factor 0 + 16/3*b**x + 8/3*b**4 - 4/3*b - 20/3*b**3.
4*b*(b - 1)**2*(2*b - 1)/3
Solve -8/11*g**3 - 2/11*g**4 + 0*g - 6/11*g**2 + 0 = 0 for g.
-3, -1, 0
Suppose 1 + 20 = 3*x + q, 4*x = 5*q + 9. Suppose -3*k + x + 0 = 0. Factor -2/11*v**3 + 2/11*v + 0 + 0*v**k.
-2*v*(v - 1)*(v + 1)/11
Let v(l) be the third derivative of 3*l**6/40 - l**5/20 - 3*l**4/8 + l**3/2 - 4*l**2. Factor v(a).
3*(a - 1)*(a + 1)*(3*a - 1)
Let p(y) = 9*y - 33. Let w be p(4). Let a(i) be the third derivative of -5*i**2 - 1/420*i**6 + 0 + 0*i**4 - 1/210*i**5 + 0*i + 0*i**w. Factor a(l).
-2*l**2*(l + 1)/7
Find i, given that -180/7*i + 0 + 12*i**2 + 3/7*i**3 = 0.
-30, 0, 2
Let a = 12 - 10. Suppose 2*v - 6 = a. Factor 2*j**5 + j**5 + 4*j**2 - v*j**4 - j**5 - 2*j.
2*j*(j - 1)**3*(j + 1)
Let d(f) be the first derivative of -f**4/2 - 2*f**3 + 4*f**2 + 24*f + 108. Suppose d(y) = 0. Calculate y.
-3, -2, 2
Let s(i) be the first derivative of i**4 - 4/5*i**5 - 3*i**2 - 9*i + 11/3*i**3 + 10. Factor s(l).
-(l + 1)**2*(2*l - 3)**2
Let h(n) be the third derivative of n**10/10080 - n**9/1008 + n**8/320 - n**7/280 - 7*n**4/8 + 9*n**2. Let b(k) be the second derivative of h(k). Factor b(r).
3*r**2*(r - 3)*(r - 1)**2
Let a(q) be the first derivative of -10*q**2 - 3*q**4 + 2/5*q**5 + 8*q**3 + 6*q - 21. Determine h so that a(h) = 0.
1, 3
Let d(r) be the first derivative of 5*r**4/2 + 65*r**3/12 - 15*r**2/4 + 141. Factor d(p).
5*p*(p + 2)*(8*p - 3)/4
Let v(f) = -8*f**3 - 2117*f**2 - 185866*f - 5451771. Let m(y) = 4*y**3 + 1059*y**2 + 92934*y + 2725885. Let k(t) = -5*m(t) - 3*v(t). Factor k(l).
4*(l + 88)**3
Let q(s) = -s**3 - 20*s**2 + 22*s + 24. Let u be q(-21). Suppose 0*v - 1/4*v**5 + 0 + 1/4*v**u + 1/2*v**2 - 1/2*v**4 = 0. What is v?
-2, -1, 0, 1
Let a(z) = -3*z**5 + 6*z**4 + z**3 + 7*z**2 - 5. Let g(o) = -10 + 2*o**3 - 9*o**4 + 17 - 10*o**2 + 4*o**5 - 4*o**3. Let t(w) = -7*a(w) - 5*g(w). Factor t(k).
k**2*(k + 1)**3
Let i(z) be the third derivative of 0*z + 1/24*z**6 - 5/24*z**4 - 1/12*z**5 + 5/6*z**3 + 0 + 9*z**2. What is w in i(w) = 0?
-1, 1
Suppose -4*w - 4*x = 32, 2*x - 3 = 2*w - 19. Factor w - 1/3*h**2 + h.
-h*(h - 3)/3
Let a(g) be the third derivative of -3*g**9/2240 - 3*g**8/2240 - g**7/2520 + g**4/8 - 11*g**2. Let i(j) be the second derivative of a(j). Factor i(c).
-c**2*(9*c + 2)**2/4
Let j(p) = 2*p**5 - 20*p**4 + 32*p**3 + 28*p**2 - 26*p - 8. Let r(f) = 2*f**3 + f**2 - f - 1. Let h(t) = j(t) - 8*r(t). Factor h(y).
2*y*(y - 9)*(y - 1)**2*(y + 1)
Let s(l) be the third derivative of -l**10/264600 - l**9/52920 - l**8/35280 - l**5/12 - 27*l**2. Let p(u) be the third derivative of s(u). Solve p(q) = 0 for q.
-1, 0
Let o(s) = -5*s**4 - 45*s**3 + 8*s**2 - 4*s - 4. Let c(r) = 10*r**4 + 90*r**3 - 14*r**2 + 7*r + 7. Let p(u) = -4*c(u) - 7*o(u). Factor p(x).
-5*x**3*(x + 9)
Suppose 4*l = 336*k - 335*k + 6, 33 = l + 5*k. Suppose -10/3*b**2 + 0 + 4/3*b + 8/3*b**l - 2/3*b**4 = 0. Calculate b.
0, 1, 2
Let s(t) be the second derivative of t**4/16 + 47*t**3/8 + 69*t**2/4 - 183*t. Factor s(g).
3*(g + 1)*(g + 46)/4
Let a be (-1)/1*725/(-174) - 4. Let z(u) be the first derivative of 3/2*u**2 + 9/2*u + 5 + a*u**3. Factor z(h).
(h + 3)**2/2
Let a(d) be the third derivative of d**8/448 - d**7/70 - 7*d**6/160 + d**5/8 - 58*d**2. Let a(g) = 0. Calculate g.
-2, 0, 1, 5
Let s = -5 - -13. Let u(n) = 4*n**3 + 8*n**2 + 8. Let a(p) = p**2 + 1. Let w(t) = s*a(t) - u(t). Factor w(o).
-4*o**3
Suppose -25 = c - 21. Let z(p) = 7*p**2 - 4. Let f(s) = -6*s**2 + 3. Let v(d) = c*f(d) - 3*z(d). Factor v(t).
3*t**2
Let x(a) = 76*a - 988. Let p be x(13). Solve 2/5*m + p + 1/5*m**2 = 0.
-2, 0
Let m(u) = 47*u + 144. Let q be m(-3). Factor -6/7 + 156/7*g**2 + 69/7*g + 81/7*g**q.
3*(g + 1)**2*(27*g - 2)/7
Let p(g) = -4*g**2 - 12*g - 115. Let b(d) = 2*d**2 + 6*d + 57. Let t(a) = 7*b(a) + 3*p(a). Let v(q) = q + 1. Let k(w) = 2*t(w) - 44*v(w). Factor k(l).
4*(l - 4)**2
Let b be 2 + 0/(-212)*(1 - 5/4). Solve 0 + 14/3*z**b + 0*z + 2/3*z**3 = 0.
-7, 0
Let i(q) be the first derivative of q**5 + 45*q**4/4 + 40*q**3/3 - 63. Find j such that i(j) = 0.
-8, -1, 0
Suppose 33*z - 97 = 35. Let m(f) be the first derivative of 0*f**2 + 0*f + 2 + 1/6*f**3 + 1/12*f**6 + 3/10*f**5 + 3/8*f**z. Suppose m(r) = 0. Calculate r.
-1, 0
Let d(r) = 3*r**2 + 17*r - 350. Let i be d(-14). Suppose -1/3*v**2 - v + i = 0. Calculate v.
-3, 0
Let p = -1 - -