ond derivative of -79 - 11/3*i**3 - i - 1/6*i**4 + 12*i**2. Factor y(f).
-2*(f - 1)*(f + 12)
Let z(t) be the first derivative of t**3/3 - 7*t**2/2 + 6*t - 1556. Factor z(j).
(j - 6)*(j - 1)
Let h(x) be the first derivative of -5*x**4/6 - 35*x**3/6 - 15*x**2/2 - 98*x + 21. Let i(c) be the first derivative of h(c). Factor i(y).
-5*(y + 3)*(2*y + 1)
Let h(z) be the third derivative of z**8/2352 - 31*z**7/1470 + 11*z**6/35 - 57*z**5/35 + 1527*z**2 + 3*z. Factor h(x).
x**2*(x - 19)*(x - 6)**2/7
Let u = -9/197 + 1733/20685. Let j(d) be the third derivative of 0*d - 1/12*d**4 + 1/21*d**3 - u*d**5 + 7*d**2 + 0. Find i such that j(i) = 0.
-1, 1/8
Let x(f) be the first derivative of 49*f**5/10 - 7*f**4/4 - 8*f**3 + 7*f**2/2 - f/2 - 2808. Factor x(p).
(p - 1)*(p + 1)*(7*p - 1)**2/2
Let x(j) be the second derivative of j**5/12 - 5*j**4/8 + 103*j**2/2 - 3*j + 17. Let u(q) be the first derivative of x(q). Factor u(n).
5*n*(n - 3)
Let v = -329 + 778. Let j = -447 + v. Suppose 4/3*s**3 + 0 + 0*s + 2/3*s**4 + 2/3*s**j = 0. What is s?
-1, 0
Let r(h) = -6*h**2 + 107*h - 56. Let j(x) = -8*x**2 + 108*x - 58. Suppose -4*w = -49*w - 135. Let z(u) = w*r(u) + 2*j(u). Factor z(q).
(q - 52)*(2*q - 1)
Let t be ((-36652)/32 + -2)*(-4)/(-4). Let d = 1150 + t. Factor -75/8*y**2 - d*y**4 + 3/8*y**5 + 6*y + 57/8*y**3 - 3/2.
3*(y - 2)**2*(y - 1)**3/8
Let p(w) = w**2 + 214*w - 5447. Let m be p(23). Factor 0 + 8/3*q**2 + 16/3*q**3 + 2*q**m + 0*q.
2*q**2*(q + 2)*(3*q + 2)/3
Find t, given that t**5 + 370576*t**2 - 90*t**4 - 944545*t + 314*t**4 - 975457*t + 233410*t + 1755904 + 16420*t**3 = 0.
-76, 2
Let j(m) be the third derivative of -m**6/480 + 3*m**5/10 - 65*m**4/96 - 71*m**3/4 + 3071*m**2. Determine u so that j(u) = 0.
-2, 3, 71
Let i(c) be the first derivative of -c**7/210 - c**6/15 - 4*c**5/15 + 29*c**3/3 + 39. Let h(k) be the third derivative of i(k). Factor h(g).
-4*g*(g + 2)*(g + 4)
Suppose -1/6*z**2 - 14/3 - 29/6*z = 0. Calculate z.
-28, -1
Factor 60 - 156*n**4 - 161 + 2*n**5 - 5*n**5 + 101 - 2028*n**3.
-3*n**3*(n + 26)**2
Let 270*m**2 + 252*m**2 - 327*m**4 - 4*m**2 - 57*m**2 - 417*m**3 - 90*m - 14*m**2 - 45*m**5 = 0. Calculate m.
-5, -3, 0, 1/3, 2/5
Let f(b) = -2*b**3 + 18*b**2 + 19*b + 13. Let w be f(10). Suppose -3211 + 3211 + 3*p**3 - w*p = 0. What is p?
-1, 0, 1
Factor 214/5*g + 213/5*g**2 + 0 - 1/5*g**3.
-g*(g - 214)*(g + 1)/5
Let g(b) be the second derivative of -79/36*b**3 + 2*b + 1 - 1/6*b**2 - 77/72*b**4. Factor g(t).
-(t + 1)*(77*t + 2)/6
Let g(i) = -i**3 - 1. Let h be -3 + 48/20 - (-72)/45. Let o(s) = -9*s**3 - 20*s**2 - 25*s - 14. Let p(a) = h*o(a) - 4*g(a). Factor p(x).
-5*(x + 1)**2*(x + 2)
Let l = 15295 - 137635/9. Let n(x) be the first derivative of -l*x - 13/18*x**4 - 2/15*x**5 - 8 + 26/27*x**3 + 13/9*x**2. Determine a so that n(a) = 0.
-5, -1, 2/3, 1
Suppose 280 = -0*f - 14*f. Let q be 6*-1*f/75. Factor z**2 + 4/5 + 1/5*z**3 + q*z.
(z + 1)*(z + 2)**2/5
Let k be -10 + ((-5198)/230 - -33). Determine l so that k*l**3 + 0 - 24/5*l**2 + 8*l = 0.
0, 2, 10
Let h(g) be the second derivative of 2 + 0*g**2 + 25*g + 4/15*g**3 - 1/30*g**4. Find f, given that h(f) = 0.
0, 4
Let x(z) = -151*z + 456. Let q be x(3). Let i(p) be the first derivative of -3*p**2 - 9 + 0*p - 5/2*p**q + 9/16*p**4. Suppose i(o) = 0. Calculate o.
-2/3, 0, 4
Suppose -49*j + 64*j = 60. Suppose 2 = 4*h - 2*k - 16, 2*h = -2*k - 6. Factor -o**h + 14*o - 3*o**3 + j*o**2 + 16*o - 3*o**4 - 27*o.
-3*o*(o - 1)*(o + 1)**2
Suppose -4*r - 2*c + 3*c + 127 = 0, 5*r = 2*c + 158. Let y = r + -30. Suppose d**2 - 4*d**4 + 3*d**4 - 2*d + y*d**3 + 0*d**4 = 0. What is d?
-1, 0, 1, 2
Let c be 2 + 2/(-4)*(-9 + 7). Suppose 4*p = -2 - 10, -11 = -t + c*p. Factor -3*s**t - 5*s - 7*s**2 - 59*s**3 + 10 + 30*s**3 + 34*s**3.
5*(s - 2)*(s - 1)*(s + 1)
Factor -257 + 722 + 5*t**2 + 595 + 285*t.
5*(t + 4)*(t + 53)
Let 3463*b**4 + 28*b**5 + 16464 + 22872*b**2 + 69776*b + 21557*b**2 - 2643*b**4 - 5985*b**2 - 14076*b**3 = 0. Calculate b.
-42, -1, -2/7, 7
Let x(f) be the first derivative of -9*f**4/28 + 362*f**3/21 - 1840*f**2/7 + 800*f/7 - 900. Let x(j) = 0. Calculate j.
2/9, 20
Factor 24/5*w**2 + 2/5*w**4 + 0 + 16/5*w + 12/5*w**3.
2*w*(w + 2)**3/5
Let d(c) be the second derivative of c**4/90 + 34*c**3/45 + 11*c**2/5 + c + 123. Factor d(q).
2*(q + 1)*(q + 33)/15
Let p be 8 - (-1 + 0 - (-534)/89). What is x in 27/8*x**p + 39/8*x - 3/4 - 15/2*x**2 = 0?
2/9, 1
Let s(l) be the second derivative of 3*l**7/14 - 2*l**6 + 21*l**5/4 - 5*l**4/2 - 4*l**3 - l + 619. Determine t, given that s(t) = 0.
-1/3, 0, 1, 2, 4
Suppose 0 = -g - 4*g + 305. Let z = g - 60. Let 28*n + 42*n**3 + 61*n**2 + 88*n**4 + 5 - 79*n**4 - z = 0. Calculate n.
-2, -1/3
Let n = 3246 + -2031. Factor -1210*u**4 + 45*u - 26*u**2 + n*u**4 - 5*u**3 - 19*u**2.
5*u*(u - 3)*(u - 1)*(u + 3)
Let y = 978373/3 - 326111. Let 8*z - 2/3*z**2 - y = 0. What is z?
2, 10
Suppose 5*c - 25 = -5*k, 3*k - 5*k = c - 7. Let u be 1/3*(-1005)/(-1675). What is y in u*y**k + 2/5*y + 1/5 = 0?
-1
Let g be ((-120)/135)/(-8) - ((-642)/54 + 12). Factor -2/15*j**4 - 2/15*j**2 + g*j + 0 + 4/15*j**3.
-2*j**2*(j - 1)**2/15
Suppose -m = -8 + 6. Suppose -3*y - 5*c + 32 = -59, -m*y = -5*c - 19. Factor -6*q**3 - 3*q**3 + 123*q**2 - y - 165*q**2 - 60*q - 2.
-3*(q + 2)**2*(3*q + 2)
Factor 364/5*l + 1/5*l**2 - 73.
(l - 1)*(l + 365)/5
Let p(m) be the third derivative of m**6/40 + 37*m**5/4 - 373*m**4/8 + 187*m**3/2 - 50*m**2 - 3. Factor p(h).
3*(h - 1)**2*(h + 187)
Factor -4*m**4 + 117*m**3 - 66699 - 9666*m**2 + 3*m**4 - 2*m**4 + 49572*m - 3528 + 207*m**3.
-3*(m - 51)**2*(m - 3)**2
Find u such that 2433*u + 91*u**3 + 3380*u**2 + 943*u - 3*u**4 - 70*u**3 + 4*u**4 + 827*u**3 = 0.
-844, -2, 0
Let r be ((4 + -6 - -4) + -4)*-2. Suppose -75 + 67 = -r*s. Solve 4*h**2 + 5*h**2 - 13*h**s - 4*h**3 = 0 for h.
-1, 0
Suppose 0 = -2*y - 3*s - 18, -s - 5 = -5*y + 4*s. Let n be y + 5/45*30. Let 2/3*u + 0 - n*u**2 = 0. Calculate u.
0, 2
Factor -944155*h**3 - 108*h + 944203*h**3 + 2*h**4 - 1368*h + 2 - 1430*h**2 - 2.
2*h*(h - 18)*(h + 1)*(h + 41)
Let w be (2/2)/1 + 1. Let j be ((-4983)/(-32465) + 6/129)*(-15)/(-12). Solve 1/4*k**w + 0*k + 0 + j*k**3 = 0 for k.
-1, 0
Suppose 1464 = -5*q - 2781. Let w = q - -852. Solve 6*a**2 + 0 - 6*a**4 - 3/2*a - w*a**3 + 9/2*a**5 = 0 for a.
-1, 0, 1/3, 1
Let j(v) be the second derivative of -v**4/12 + 151*v**3/3 - 301*v**2/2 + 1276*v. Factor j(a).
-(a - 301)*(a - 1)
Let i = 5516 + -16547/3. Let p(r) be the second derivative of 0 + 2/3*r**3 - 16*r - 5/18*r**4 - i*r**2. Let p(x) = 0. What is x?
1/5, 1
Let z(d) be the second derivative of -28*d + 0 + 1/15*d**5 - d**4 + 10/3*d**3 - 6*d**2. Let v(y) be the first derivative of z(y). Solve v(c) = 0.
1, 5
Let k(y) be the first derivative of -2*y**7/105 + y**5/5 - y**4/3 + 9*y**2 - 2*y + 160. Let v(d) be the second derivative of k(d). Factor v(m).
-4*m*(m - 1)**2*(m + 2)
Let k be -34 + -29 + 3255/49. Factor k + 20/7*d + 4/7*d**2.
4*(d + 2)*(d + 3)/7
Let g(n) be the first derivative of -7*n**6/10 - 27*n**5/20 - n**4/2 - 2*n + 44. Let v(f) be the first derivative of g(f). Factor v(l).
-3*l**2*(l + 1)*(7*l + 2)
Let w(r) be the second derivative of 6*r**3 - 3/20*r**5 + 2 - 24*r**2 - 6*r + 0*r**4. Suppose w(u) = 0. What is u?
-4, 2
Let g(s) be the third derivative of s**5/420 + 115*s**4/168 + 19*s**3/7 - 105*s**2 - 2. Factor g(j).
(j + 1)*(j + 114)/7
Let u(w) be the second derivative of -w + 10*w**2 + 9 + 430/3*w**3 + 415/4*w**4. What is p in u(p) = 0?
-2/3, -2/83
Suppose 7*g + 1532 = 1567. Determine f so that -9*f**3 - f**2 + 8*f**g + 15*f**3 + f**4 - 7*f**5 - 7*f**3 = 0.
-1, 0, 1
Suppose -5*r + 6 = -2*r + 2*k, -r = 5*k - 15. Factor -4*w**2 - 25*w - w**2 + r*w**2 - 3 - 27.
-5*(w + 2)*(w + 3)
Let l(b) be the first derivative of b**9/1008 - b**8/140 + b**7/56 - b**6/60 + 66*b**3 - 124. Let y(s) be the third derivative of l(s). Factor y(u).
3*u**2*(u - 2)*(u - 1)**2
Let g = -27 + 26. Let l be 2 - (-7)/(-3) - g/3. Solve 7*f**2 + l*f**3 - 6*f**2 - f**3 = 0 for f.
0, 1
Let v be 8/(-3)*(-78)/104. Let -3*t**2 + 3*t**4 - 8*t**4 + t**4 - 5*t**3 + 9*t**2 + v*t**4 + t**5 = 0. Calculate t.
-2, 0, 1, 3
Let q(c) be the second derivative of c**6/900 + c**5/100 - c**4/15 - 155*c**3/6 + 229*c. Let z(i) be the second derivative of q(i). What is a in z(a) = 0?
-4, 1
Let g(l) 