tive of z**5 - 55*z**4/4 + 45*z**3 - 125*z**2/2 + 40*z - 2486. Factor h(j).
5*(j - 8)*(j - 1)**3
Let o be (4/8 - 0)*16. Factor 33*h**5 - 2*h**3 - 8 - 3*h**4 + o - 34*h**5.
-h**3*(h + 1)*(h + 2)
Let j(h) be the third derivative of 2*h**7/735 - 491*h**6/105 + 28*h**5 - 1469*h**4/21 + 1958*h**3/21 + 5815*h**2. Factor j(k).
4*(k - 979)*(k - 1)**3/7
Let m = -141 - -146. Determine r so that -6*r + 20*r**2 - 41681*r**4 + 41684*r**4 - m*r**2 - 12*r**3 = 0.
0, 1, 2
Let l(b) = 38*b + 21. Let q be l(3). Let q*m + m**4 - 432*m**2 - m**4 - 4*m**4 - 999*m - 72*m**3 = 0. What is m?
-6, 0
Let h(s) be the third derivative of s**6/660 + 16*s**5/55 + 21*s**4 + 7056*s**3/11 + s**2 + 16*s - 2. Factor h(k).
2*(k + 12)*(k + 42)**2/11
Let d(z) be the second derivative of z + 3*z**2 + 3/10*z**6 + 29/8*z**4 + 3*z**3 + 0 + 37/20*z**5. Let b(m) be the first derivative of d(m). Factor b(r).
3*(r + 2)*(3*r + 1)*(4*r + 3)
Let c(s) be the first derivative of -1/10*s**4 - 24/5*s + 23/5*s**2 - 4/3*s**3 - 29. Factor c(x).
-2*(x - 1)**2*(x + 12)/5
Suppose 75 + 48 = 41*r - 0. Let p = -46 - -46. Suppose 25*o**2 + 125/2*o + 5/2*o**r + p = 0. What is o?
-5, 0
Solve -2*s**3 - 2/5*s**2 + 42/5*s + 36/5 - 2/5*s**4 = 0.
-3, -1, 2
Let t be 2/37 + 1668357/17982 + -90. Factor -6*p + 0*p**3 - 10/3 + 1/6*p**4 - t*p**2.
(p - 5)*(p + 1)*(p + 2)**2/6
Let r = 144 + -141. Factor -14*a**3 + 4*a**2 + 7*a**5 + 2*a**r + 704*a**4 - 713*a**4.
a**2*(a - 2)*(a + 1)*(7*a - 2)
Let s be (-5)/((-20)/(-5968))*6/(-12). Factor d**2 - 806*d + s*d + 103 - 6*d**2 + 0*d**2 - 38.
-5*(d - 1)*(d + 13)
Let c(f) be the first derivative of 8 + 3/4*f**4 + 2*f**3 + 3/2*f**2 + 1/160*f**6 + 0*f + 9/80*f**5. Let r(j) be the second derivative of c(j). Factor r(o).
3*(o + 1)*(o + 4)**2/4
Let s(a) be the first derivative of 8*a**5/5 + 31*a**4/2 + 152*a**3/3 + 51*a**2 - 36*a - 3464. Find b such that s(b) = 0.
-3, -2, 1/4
Let u(n) be the first derivative of -217 + 0*n - 1/6*n**4 - 8/3*n**3 - 12*n**2. Solve u(a) = 0 for a.
-6, 0
Let t(y) = -2*y**2 + 852*y - 85698. Let g(b) = 8*b. Let r(i) = -6*g(i) + 2*t(i). Factor r(v).
-4*(v - 207)**2
Determine c, given that 0*c**2 - 2*c**4 + 28*c**2 + 120 - 200*c + 100 - 33*c**4 - 5*c**5 - 213*c**2 + 205*c**3 = 0.
-11, -1, 1, 2
Let k be (-1)/(-5) - 102444/420. Let x = k + 244. Let x*l**4 + 2/7*l**3 + 0 - 4/7*l**2 + 0*l = 0. What is l?
-2, 0, 1
Suppose 0 = 4*n - 8, 0*n = 3*w + 2*n + 11. Let f(s) = -s**3 - 20*s**2 - 7*s + 7. Let g(p) = -11*p**2 - 4*p + 4. Let b(q) = w*g(q) + 3*f(q). Factor b(h).
-(h + 1)**2*(3*h - 1)
Suppose 70*l - 23*l + 10*l = -113*l. Solve 5/11*s**4 - 7/11*s**3 - 1/11*s**5 + 0 + 3/11*s**2 + l*s = 0.
0, 1, 3
Let h(x) = -14*x**2 + 106*x + 44. Let z(l) = -14*l**2 + 106*l + 33. Let n(g) = -3*h(g) + 4*z(g). Factor n(y).
-2*y*(7*y - 53)
Let c = 1700503/5 - 340097. Determine a, given that c*a**4 + 56/5*a**3 + 4*a + 0 + 58/5*a**2 = 0.
-10/9, -1, 0
Let j(s) = 7*s**4 - 11*s**3 - 8*s**2. Let v(g) = 4*g**4 - 6*g**3 - 4*g**2. Let n = 131 - 137. Let h(f) = n*j(f) + 10*v(f). Determine z, given that h(z) = 0.
-1, 0, 4
Let c(g) be the second derivative of g**5/50 + 3*g**4/10 + 23*g**3/15 + 3*g**2 + 130*g - 10. Let c(t) = 0. Calculate t.
-5, -3, -1
Let c(k) be the third derivative of -k**11/2162160 + k**9/98280 + 7*k**5/60 + k**2 - 3. Let l(d) be the third derivative of c(d). Solve l(w) = 0.
-2, 0, 2
Let i(s) be the second derivative of 13*s**4/6 - 718*s**3/3 + 165*s**2 - 684*s - 3. Determine t, given that i(t) = 0.
3/13, 55
Suppose 8*x - 196 = 356. Suppose 5*v + 11 = 3*j, 0*j - j + 5*v + 7 = 0. Find l, given that 48 - 117*l + 72*l + 3*l**3 - 21*l**j + x*l = 0.
-1, 4
Let g(c) be the first derivative of c**5/20 + c**4 + 65*c**3/12 + 25*c**2/4 + 12071. Factor g(p).
p*(p + 1)*(p + 5)*(p + 10)/4
Let d(f) be the first derivative of -2*f**3/27 - 850*f**2/3 - 361250*f - 7620. Factor d(i).
-2*(i + 1275)**2/9
Let c be (-196)/1715*(-10)/8. Let y(n) be the second derivative of 1/14*n**3 - 1/140*n**5 - c*n**2 + 25*n + 0*n**4 + 0. Factor y(j).
-(j - 1)**2*(j + 2)/7
Let h be 107/20 - ((-8284)/(-16))/109. Let 66/5*t**2 + 63/5*t - h = 0. What is t?
-1, 1/22
Let u(g) be the third derivative of -1/8*g**4 + 0 - 1/240*g**5 - 266*g**2 + 0*g - 3/2*g**3. Factor u(t).
-(t + 6)**2/4
Let l = 7129 - 7126. Factor 0 + 2/9*g**4 + 0*g + 0*g**2 - 2/9*g**l.
2*g**3*(g - 1)/9
Let b(k) be the first derivative of -k**3/9 - 34*k**2/3 - 124*k + 6665. What is o in b(o) = 0?
-62, -6
Let y(w) be the first derivative of w**4/2 - 1000*w**3/3 + 499*w**2 + 120. Factor y(a).
2*a*(a - 499)*(a - 1)
Let r(o) be the first derivative of -11*o**3/9 - 485*o**2/3 - 176*o/3 + 4780. Suppose r(x) = 0. Calculate x.
-88, -2/11
Suppose 0 = -5*h + 15, 5*h = -2*c + 3*h + 28. Let 48 + 24*y**2 - c*y**3 - 42*y + 174*y + 11*y**3 - 15*y**3 = 0. What is y?
-2, -2/5, 4
Suppose l = 5*q - 18, -3*q = 5*l - 694 + 728. Let w(n) be the second derivative of -1/30*n**6 - 2/5*n**5 + 17*n - 7/4*n**4 - 3*n**3 + 0 + 0*n**q. Factor w(o).
-o*(o + 2)*(o + 3)**2
Let a(h) be the first derivative of 0*h + 108 - 9/8*h**2 + 0*h**3 + 1/16*h**4. Factor a(x).
x*(x - 3)*(x + 3)/4
Suppose 11*m - 17 = 54 - 38. Let z(p) be the first derivative of 1/6*p**2 + 14 + 1/27*p**m - 4/9*p. Let z(d) = 0. Calculate d.
-4, 1
Let v(q) be the first derivative of 20*q**6/3 - 10*q**5 - 45*q**4/4 + 80*q**3/3 - 25*q**2/2 + 8158. Suppose v(x) = 0. Calculate x.
-5/4, 0, 1/2, 1
Suppose -4*k = 3*a - 38, 5*a + 3*k - 24 = 21. Let n(x) = -x**2 + 15*x - 17. Let y(l) = 14*l - 16. Let r(z) = a*y(z) - 4*n(z). Factor r(p).
4*(p - 1)*(p + 7)
Let a be 3*15/(-270) + (10/4 - 2). Let o(r) be the first derivative of 1/2*r - 18 + 3/16*r**4 - a*r**3 - 1/8*r**2. Factor o(p).
(p - 1)**2*(3*p + 2)/4
Suppose 5*l = -5*i + 55, -28 = -8*i + 6*i - 4*l. Let m be ((-100)/i)/(50/(-30)). Solve 5/4*r**2 + 45/4 + m*r = 0 for r.
-3
Suppose -g = 4*g - 850. Let -190*x**3 + 1 + 115*x**4 - 16 - 30*x + 145*x + 70*x**4 - g*x**2 + 75*x**5 = 0. Calculate x.
-3, -1, 1/5, 1/3, 1
Let t(w) be the second derivative of w**4/3 - 544*w**3/3 + 1080*w**2 - 361*w + 2. Determine q, given that t(q) = 0.
2, 270
Let s(m) be the first derivative of 4*m**3/9 + 610*m**2/3 + 1208*m + 9721. Factor s(b).
4*(b + 3)*(b + 302)/3
Let k(p) = -8*p**3 - 296*p**2 + 14*p + 290. Let a(u) = -u**3 - 2*u**2 + 2*u + 1. Let r(q) = 6*a(q) - k(q). Factor r(h).
2*(h - 1)*(h + 1)*(h + 142)
Let x(o) be the third derivative of -o**6/60 + o**3/6 + 4*o**2. Let j be x(-1). Solve 2 - l**3 + 7 + 15*l**2 - 21*l - 2*l**j = 0 for l.
1, 3
Let a(u) = -2*u + 15. Let k be a(7). What is b in 35 + 108 + k + 168*b + 49*b**2 = 0?
-12/7
Let i(z) be the third derivative of z**6/230 - 149*z**5/690 + 251*z**4/276 + 2*z**3/3 - 6*z**2 + 4*z - 4. Let i(y) = 0. What is y?
-1/6, 2, 23
Let r be (-1)/(2*(-2)/144). Suppose c - 40 = -r. Let 10 + j**2 - 2*j**4 - 18*j**c + 41*j**2 - 45*j + 13*j**2 = 0. Calculate j.
-2, 1/2, 1
Let v(r) be the first derivative of r**4/28 + 26*r**3/21 + 69*r**2/14 - 147. Factor v(k).
k*(k + 3)*(k + 23)/7
Let x(z) be the third derivative of -9/56*z**8 + 2*z**4 + 0*z - 9/35*z**7 + 0*z**3 - 10/3*z**5 + 10*z**2 + 21/10*z**6 - 1. Solve x(b) = 0.
-3, 0, 2/3
Let c(o) be the third derivative of -o**6/260 + 22*o**5/195 + 59*o**4/52 + 18*o**3/13 - 9*o**2 - 57. Determine y so that c(y) = 0.
-3, -1/3, 18
Let p = -1185579 - -1185579. Let v be (-2)/(-7) + (-2)/(-42). Determine w so that -4/3*w + p - v*w**2 = 0.
-4, 0
What is p in -45/2*p**2 + 0 + 54*p + 3/4*p**4 - 3/4*p**3 = 0?
-6, 0, 3, 4
Let o(z) be the third derivative of 5/72*z**4 + 0*z - 3 + 19*z**2 + 0*z**3 + 1/180*z**5. Factor o(k).
k*(k + 5)/3
What is b in -2*b**2 + 152/7*b - 120/7 + 2/7*b**4 - 20/7*b**3 = 0?
-3, 1, 2, 10
Let g = -46 + 51. Let b(x) = -2*x + 14. Let v be b(g). Let 11*p + 3*p + v - 4*p**4 - 6*p - 8*p**3 = 0. Calculate p.
-1, 1
Let o be (-208)/1365 - 32/(-112). Let h(t) be the first derivative of -o*t**3 + 14 + 0*t - 1/30*t**4 + 0*t**2. Factor h(b).
-2*b**2*(b + 3)/15
Let o = 276 - 274. Suppose 19*s = o*s. Suppose -1/5*i**4 + 0 + s*i + 2/5*i**3 + 3/5*i**2 = 0. What is i?
-1, 0, 3
Factor 4/5*t**5 + 0*t - 2*t**3 + 0*t**2 + 0 + 39/5*t**4.
t**3*(t + 10)*(4*t - 1)/5
Let r(c) = -12*c**2 + 1320*c - 9880. Let h(w) = 4*w**2 - 440*w + 3297. Let l(q) = -8*h(q) - 3*r(q). Suppose l(z) = 0. What is z?
8, 102
Let u(h) be the third derivative of