 of b**5/150 - b**4/20 - 2*b**3/3 + 33*b**2 - 3. Factor a(j).
2*(j - 5)*(j + 2)/5
Let g(k) be the second derivative of -k**4/4 + 5*k**3/2 - 6*k**2 + 4*k - 9. Solve g(l) = 0.
1, 4
Let c(z) be the third derivative of -z**8/1008 - z**7/90 - z**6/120 + 19*z**5/180 + z**4/18 - 2*z**3/3 - 3*z**2. Find w such that c(w) = 0.
-6, -2, -1, 1
Suppose -5*l - 5*z = -30, -l - 3 = -3*z - 13. Let i(x) = 6*x**3 + 3*x + 3. Let u(a) = -13*a**3 - a**2 - 7*a - 7. Let v(y) = l*i(y) + 3*u(y). Factor v(c).
3*c**2*(c - 1)
Suppose -h - 15 = -3*g + 2*h, g + 5*h + 25 = 0. Suppose g = w + w - 22. Solve 3*k**2 - k**3 + 0 + 7 - w = 0 for k.
-1, 2
Let p be (-1665)/(-75) - (-22 + 44). Suppose -9/5 + p*u**3 - 1/5*u + 9/5*u**2 = 0. Calculate u.
-9, -1, 1
Let w(x) = -70*x**3 + 14128*x**2 + 11369*x + 2269. Let q(l) = -15*l**3 + 2826*l**2 + 2274*l + 454. Let m(g) = -33*q(g) + 6*w(g). Factor m(t).
3*(t - 114)*(5*t + 2)**2
Let b(o) be the third derivative of -o**5/20 - 99*o**4/4 - 9801*o**3/2 + 6*o**2 + 4. What is w in b(w) = 0?
-99
Let -4/7*y**3 + 2/7*y**2 + 4/7*y + 0 - 2/7*y**4 = 0. What is y?
-2, -1, 0, 1
Let o(b) = -10*b**4 + 13*b**3 + 23*b**2 - 94*b + 40. Let v(s) = 5*s**4 - 6*s**3 - 11*s**2 + 48*s - 20. Let d(z) = -4*o(z) - 7*v(z). Factor d(j).
5*(j - 2)*(j - 1)**2*(j + 2)
Let h be 0 - 1 - (-112)/80. Let p = -73/5 + 15. Factor 0 - p*z**2 - h*z.
-2*z*(z + 1)/5
Let u(y) be the second derivative of y**5/120 - 5*y**4/96 + y**3/8 + 15*y**2 + 6*y. Let m(p) be the first derivative of u(p). Find j such that m(j) = 0.
1, 3/2
Let v(g) be the first derivative of 2/15*g**3 - 1/20*g**4 + 0*g + 4 + 3/10*g**2. Solve v(o) = 0.
-1, 0, 3
Let r(g) = -g**2 - 8*g - 7. Let l be r(-7). Let x(a) = 2*a + 1. Let w be x(1). Factor l*c**3 + 3*c**w + 14*c + 15*c**2 + 10*c + 12.
3*(c + 1)*(c + 2)**2
Suppose 5*d - 3*d = 112. Factor d*o - 66*o**2 - 20 + 18*o**2 - 17*o**3 + 4*o**4 + 7*o**3 + 18*o**3.
4*(o - 1)**3*(o + 5)
Let m = -44 - -56. Let b(r) = -3*r**3 - 3*r + 42. Let d(v) = -v**2 + v + 1. Let t(w) = m*d(w) + b(w). Factor t(y).
-3*(y - 2)*(y + 3)**2
Let c = -81/5 - -977/60. Let s(f) be the second derivative of 0 - 1/168*f**7 - c*f**3 + 1/120*f**6 - 1/48*f**4 + 3/80*f**5 - f + 0*f**2. Solve s(v) = 0.
-1, 0, 1, 2
Let f(w) be the third derivative of -w**7/2520 + w**6/720 + w**5/20 - 5*w**4/24 - 6*w**2. Let z(i) be the second derivative of f(i). Factor z(d).
-(d - 3)*(d + 2)
Let d(i) be the third derivative of 0 - 2/15*i**3 - 1/300*i**6 + 10*i**2 + 0*i - 1/50*i**5 + 1/12*i**4 + 1/525*i**7. Find b, given that d(b) = 0.
-2, 1
Factor -184*s**2 + 5 + 13 - 74 - 2*s**3 - 132 + 374*s.
-2*(s - 1)**2*(s + 94)
Suppose 36 - 8 = 7*p. Suppose 2*w - 2 - p = -l, -6 = 3*l - 2*w. Let l - 8/9*o + 8/3*o**2 - 10/9*o**3 = 0. What is o?
0, 2/5, 2
Factor -61*x**2 + 2*x**4 + 0*x**3 + 49*x**2 + 2*x**3.
2*x**2*(x - 2)*(x + 3)
Let y(k) = 4*k**4 + 18*k**3 + 45*k**2 - 67*k + 3. Let r(w) = 9*w**4 + 37*w**3 + 89*w**2 - 135*w + 7. Let x(d) = -3*r(d) + 7*y(d). Factor x(m).
m*(m - 1)*(m + 8)**2
Factor 2/3*f**2 + 0 + 0*f - 1/3*f**4 - 1/3*f**3.
-f**2*(f - 1)*(f + 2)/3
Let k = -3826 + 22979/6. Find j, given that k*j**2 + 31/6*j**3 + 1/2*j**5 + 17/6*j**4 + j + 0 = 0.
-3, -1, -2/3, 0
Factor 17/2*x + 101/6*x**2 - 1/3*x**3 + 0.
-x*(x - 51)*(2*x + 1)/6
Let u(g) be the second derivative of -g**4/108 - 5*g**3/54 - 2*g**2/9 - 490*g. Let u(r) = 0. What is r?
-4, -1
Let j(f) be the first derivative of f**6/195 + f**5/65 + f**4/78 - 12*f - 9. Let i(n) be the first derivative of j(n). Suppose i(k) = 0. What is k?
-1, 0
Let u(q) = q**2 + 6*q + 8. Let c be u(0). Suppose 5*i - 7*i + c*i + 7*i**2 = 0. Calculate i.
-6/7, 0
Let h(i) = 2*i**2 - 40*i + 3. Let y be h(20). Let s(a) = -15*a + 48. Let g be s(y). Determine r so that -3/5*r - 3/5*r**2 - 1/5*r**g - 1/5 = 0.
-1
Let a(f) = 2*f - 6. Let s be a(7). Factor -2*t**2 - 1 - s*t**3 - 4*t**2 - t**4 - 3*t**3 - 4*t + 7*t**3.
-(t + 1)**4
Let t(d) be the third derivative of d**5/100 + 13*d**4/40 + 6*d**3/5 + 270*d**2. Suppose t(o) = 0. What is o?
-12, -1
Factor -21*u - 22*u + 12*u**3 + 145*u**2 - 23*u + 6*u - 382*u**2.
3*u*(u - 20)*(4*u + 1)
Let y(w) = -w**3 - w**2 - w + 1. Let g(t) = 2*t**4 + 5*t**3 - 3*t**2 + t + 1. Let z(q) = -q + 11. Let u be z(5). Let d(s) = u*y(s) + 2*g(s). Factor d(j).
4*(j - 1)**2*(j + 1)*(j + 2)
Let f be (-1)/(-18) - 781/(-198). Factor 1/3*g - 4/3*g**f + 1/3*g**5 + 0 + 2*g**3 - 4/3*g**2.
g*(g - 1)**4/3
Let n be (-46)/(-8) - (-115)/(-23). Determine k so that -n*k**5 - 1/2*k**4 + 0*k + 1/4*k**3 + 0 + 0*k**2 = 0.
-1, 0, 1/3
Let p(u) = -49*u**3 - 95*u**2 - 31*u + 21. Let s(h) = 50*h**3 + 95*h**2 + 30*h - 20. Let t(a) = -5*p(a) - 6*s(a). Suppose t(f) = 0. What is f?
-1, 3/11
Suppose 48*s - 52*s - 496 = 0. Let z = -866/7 - s. Factor 0 + z*k - 2/7*k**2.
-2*k*(k - 1)/7
Suppose 24 = 3*b - 3*q, b + 0*b - 4*q - 17 = 0. Let z be (b/33 - 56/(-308))*15. Factor -2/5*u - 4/15*u**2 + 4/15*u**3 + 2/5*u**4 - 2/15 + 2/15*u**z.
2*(u - 1)*(u + 1)**4/15
Let g(h) be the third derivative of -h**8/1344 + h**7/210 - h**6/80 + h**5/60 - h**4/96 - 6*h**2 - 4*h. Factor g(o).
-o*(o - 1)**4/4
Let -92*p**4 + 32*p**2 + 6*p + 38*p**3 + 3*p**2 + 101*p**4 = 0. Calculate p.
-3, -1, -2/9, 0
Let o(y) be the third derivative of -y**7/210 - y**6/180 + 7*y**5/180 - y**4/36 + y**2 - 66*y. Determine h so that o(h) = 0.
-2, 0, 1/3, 1
Let r be 712/(-623) + 246/105. Factor 2/5*c - r*c**5 + 0*c**2 - 12/5*c**3 + 0 + 16/5*c**4.
-2*c*(c - 1)**3*(3*c + 1)/5
Suppose -9 - 7 = -8*i. Factor 0*g + 2*g - 2 + 150*g**3 - i + 4*g**2 - 152*g**3.
-2*(g - 2)*(g - 1)*(g + 1)
Suppose 3*g - 36 = -138. Let o = g + 36. Solve -1/5*u**3 + 1/5*u**4 + 0 - u**o - 3/5*u = 0.
-1, 0, 3
Let p(i) be the third derivative of i**8/84 + 4*i**7/105 - i**6/30 - 2*i**5/15 - i**2 + 3. Find u, given that p(u) = 0.
-2, -1, 0, 1
Let u(i) = 0*i - 50*i**2 - 3*i + 49*i**2 - 6. Let c(p) = 2*p**2 - 17 - 9*p - p**2 - 4*p**2. Let s(l) = -6*c(l) + 17*u(l). Factor s(n).
n*(n + 3)
Let u(p) be the first derivative of 0*p**5 + 2/3*p**3 - p**4 - 2*p + 1/6*p**6 + 11 + 3/2*p**2. Find l such that u(l) = 0.
-2, -1, 1
Suppose -3*q - 3*k = -3 - 0, 7 = -q - 5*k. Let x be 3/(-12)*q*(-8)/10. Find d, given that -3/5*d**4 - 3*d + 9/5*d**2 + x*d**3 + 6/5 = 0.
-2, 1
Let n(z) be the third derivative of -z**8/2520 + z**7/420 + 8*z**3/3 - 5*z**2 + 4*z. Let t(g) be the first derivative of n(g). Factor t(b).
-2*b**3*(b - 3)/3
Suppose -a = n - 4*a + 19, -4*n = -5*a + 27. What is s in 0 + 2/5*s**n + 0*s = 0?
0
Suppose 4/3*v**3 - 27848/3 + 4956*v - 160*v**2 = 0. Calculate v.
2, 59
Let z(h) = 7*h**4 + 5*h**3 - 7*h**2 - 11*h - 4. Let s(w) = 2*w**3 + w**2 + w + 1. Let r(j) = -2*s(j) - z(j). Factor r(p).
-(p - 1)*(p + 1)**2*(7*p + 2)
Let x(r) be the first derivative of r**6/40 - r**4/2 + 5*r**2/2 - 5. Let f(k) be the second derivative of x(k). Find a, given that f(a) = 0.
-2, 0, 2
Let q(a) = -a**2 - 11*a + 14. Let p be q(-12). Factor -9 + 33 + 4*n**2 + 3*n**3 - 12*n - 16*n**2 + 6*n**p.
3*(n - 2)**2*(n + 2)
Factor 0*g**3 + 0 - 3/2*g**5 + 3*g**4 + 3/2*g - 3*g**2.
-3*g*(g - 1)**3*(g + 1)/2
Let m(y) = 3*y**4 + 5*y**3 - 75*y**2 + 113*y - 52. Let z(p) = -35*p**4 - 60*p**3 + 900*p**2 - 1355*p + 625. Let l(i) = 25*m(i) + 2*z(i). Factor l(h).
5*(h - 2)*(h - 1)**2*(h + 5)
Let u be (-10)/(-45) - 88/(-9). Let m = u - 7. Factor 0*a + 59*a**3 + 3*a**2 - 62*a**m - 3*a**4 + 3*a.
-3*a*(a - 1)*(a + 1)**2
Let v(p) be the first derivative of 8/3*p**3 - 2*p + 9 - 3*p**2. Factor v(z).
2*(z - 1)*(4*z + 1)
Let k = 1383 + -165959/120. Let a(u) be the third derivative of -1/24*u**4 + k*u**6 + 0*u**5 + 0*u - 4*u**2 + 0*u**3 + 0. Factor a(b).
b*(b - 1)*(b + 1)
Let f(b) be the second derivative of b**5/120 - b**4/24 + b**3/12 + 5*b**2 + 21*b. Let u(m) be the first derivative of f(m). Solve u(j) = 0 for j.
1
Let w(j) be the second derivative of -j**8/10920 + j**7/1092 - j**6/390 - 2*j**3/3 - 46*j. Let t(q) be the second derivative of w(q). What is m in t(m) = 0?
0, 2, 3
Let z(j) be the first derivative of 4*j**3/3 + 56*j**2 + 784*j + 73. Factor z(f).
4*(f + 14)**2
Let l = 5913 - 5908. Factor -3/7*z**3 + 0 + 0*z - 3/7*z**2 + 3/7*z**l + 3/7*z**4.
3*z**2*(z - 1)*(z + 1)**2/7
Suppose -3*s = 2*y + 6, -2*y + 1 = -s + 7. Suppose 3 = 3*u - s. What is q in -4*q**3 + q**2 + 1 + q - 12*q + 12*q**2 + u = 0?
1/4, 1, 2
Suppose p - 2*w - 10 = -w, -w = -3*p + 