*3.
-(g - 6)*(g + 2)*(g + 6)/9
Let v(z) = z**4 - 2*z**2 + z + 1. Let b = 145 + -146. Let i(y) = -12*y**3 + 16*y**2 - 4*y - 4. Let n(p) = b*i(p) - 4*v(p). Factor n(r).
-4*r**2*(r - 2)*(r - 1)
Factor 2*z**4 - 76*z**2 + 256*z - 657809*z**3 + 657841*z**3 - 4*z**4 - 84*z**2.
-2*z*(z - 8)*(z - 4)**2
Let a(x) be the third derivative of -188*x + 0*x**4 - 5/336*x**8 + 0 + 0*x**3 + 2*x**2 + 1/8*x**6 + 1/6*x**5 + 0*x**7. Let a(q) = 0. What is q?
-1, 0, 2
Let s(i) be the first derivative of 1/2*i**4 - 96*i + 50 - 22/3*i**3 + 40*i**2. Factor s(q).
2*(q - 4)**2*(q - 3)
Determine s so that 629*s**2 + 5*s**3 + 46*s**2 + 1033 - 1033 = 0.
-135, 0
Let u = 257658/15485 + 498/3097. Factor 0 - u*m + 27/5*m**3 - 372/5*m**2.
3*m*(m - 14)*(9*m + 2)/5
Let u(i) be the first derivative of i**6/18 + 4*i**5/3 + 23*i**4/3 + 106*i**3/9 - 31*i**2/2 - 42*i + 2778. Suppose u(z) = 0. Calculate z.
-14, -3, -1, 1
Let a(g) be the first derivative of 2*g**3/9 + 5*g**2 - 728*g/3 - 245. Determine k, given that a(k) = 0.
-28, 13
Suppose 0 = -1373772*x + 1373822*x - 100. Factor 2*l**x + 10/3 - 2/3*l**3 + 6*l.
-2*(l - 5)*(l + 1)**2/3
Let n = 50 + -45. Let -n*y**2 - 39*y - 39*y**3 - 6*y**3 + 84*y + 5 = 0. Calculate y.
-1, -1/9, 1
Let u(c) be the first derivative of c**4/24 + 103*c**3/9 + 203*c**2/4 + 5775. Factor u(b).
b*(b + 3)*(b + 203)/6
Let n(b) be the second derivative of b**6/150 - 33*b**5/50 - 124*b**4/15 - 181*b**3/5 - 657*b**2/10 - 2770*b. Let n(d) = 0. Calculate d.
-3, -1, 73
Let o be ((-2040)/96 + 21)/((-1)/26). Factor -1/2*d**2 + 0 + o*d.
-d*(d - 13)/2
Factor -11*x**3 - 37 - x**3 + 412*x - 10*x**2 - 8*x**2 - 29 - 76*x**2.
-2*(x - 3)*(x + 11)*(6*x - 1)
Determine l, given that 83*l**2 + 64*l - 43*l**2 + 81*l**2 + 4*l**4 + 31*l**2 + 72*l**3 - 20*l**2 = 0.
-16, -1, 0
Suppose -2*h + 11 = g, 0 = 3*h - g - 4 - 10. Let a be h*(-4)/(-6) + 5/(-15). Factor 5*u**2 - 3*u**2 + a*u + 16 - 26 + 5*u.
2*(u - 1)*(u + 5)
Let v = -195/28 + 291/28. Let s = -551/7 + 79. Solve -72/7 - s*x**2 + v*x = 0.
6
Let u = 2/489589 - -489577/2937534. Factor -u*b**2 - 9/2*b + 14/3.
-(b - 1)*(b + 28)/6
Suppose 46195/4*f**2 - 5715/4*f**3 - 5/4*f**5 - 27450*f - 40500 + 285/4*f**4 = 0. What is f?
-1, 9, 20
Suppose -6*x + 2*x - 49 = -3*f, 77 = 5*f - 2*x. Let s be ((-40)/f)/((-2)/3). Let -s*o**2 + 2*o - 5*o**3 - o**3 + 8*o**3 = 0. Calculate o.
0, 1
Suppose 6*q - 421 = 413. Factor 2*z - 30*z**2 + q*z + 42 + 114*z**2 - 15*z**3.
-3*(z - 7)*(z + 1)*(5*z + 2)
Suppose 3*r - 6 = f, -28*f + 61 = 5*r - 24*f. Determine k, given that 0*k + 16/3*k**r + 0 + 24*k**4 + 4/3*k**2 + 11*k**3 = 0.
-4, -1/4, 0
Suppose -150 = -42*o + 1530. Factor -o*w**4 + 4*w**3 + 10*w**3 - 2*w**3 + 3*w**5 + 9*w**3 + 16*w**4.
3*w**3*(w - 7)*(w - 1)
Let n(j) be the third derivative of j**7/1155 + 7*j**6/30 + j**2 + 12*j. Find h, given that n(h) = 0.
-154, 0
Let m(i) = 2*i**2 - 3*i - 1. Let w(n) = 2*n**3 + 1348*n**2 + 293013*n + 21587711. Let g(a) = 22*m(a) - 2*w(a). What is b in g(b) = 0?
-221
Let y = 5 + 9. Suppose 9*v + 10 = y*v. Factor v*b + 8*b**2 - b**2 + 6*b**2 - 11*b**2 - 12.
2*(b - 2)*(b + 3)
Let a(l) be the third derivative of 0 + 5/6*l**4 + 0*l - 10*l**3 + 14*l**2 + 1/12*l**5. Suppose a(f) = 0. Calculate f.
-6, 2
Let d(o) = -63*o + 51. Let r be d(1). Let q be r/(-18) - (-14)/6. Find u such that 4/9 - 2*u - 10/9*u**q + 8/3*u**2 = 0.
2/5, 1
Let a(b) be the third derivative of b**6/40 - 25*b**5 + 15625*b**4/2 + b**2 - 809*b. Factor a(v).
3*v*(v - 250)**2
Let u(z) be the first derivative of 5*z**3/3 + 45*z**2/2 + 1498. Find a, given that u(a) = 0.
-9, 0
Let x = 118/3 - 39. Suppose -5*b + 45 = 0, -5*b + 271 - 226 = w. Factor -1/3*v**3 - x*v**4 + w*v + 0 + 2/3*v**2.
-v**2*(v - 1)*(v + 2)/3
Let v(s) be the second derivative of s**7/168 - s**6/120 - 3*s**5/20 - s**4/12 + 2*s**3/3 - 279*s + 4. Find a such that v(a) = 0.
-2, 0, 1, 4
Factor d**2 + 510*d - 3*d**2 - d**2 - 826 - 2126.
-3*(d - 164)*(d - 6)
Let f = -6989 - -6995. Let t(d) be the third derivative of 0*d + 15*d**2 + 2/3*d**4 + 0 - 1/30*d**f + 0*d**3 - 1/5*d**5. Find l, given that t(l) = 0.
-4, 0, 1
Find b such that -16*b**2 + 599 + 1190 - 516*b + 32*b**3 - 205 + 32*b**3 - 60*b**3 = 0.
-11, 3, 12
Let o(j) be the second derivative of -j**6/15 - 19*j**5/20 + 29*j**4/6 - 4*j**3 - 287*j - 3. Find m such that o(m) = 0.
-12, 0, 1/2, 2
Factor 51218 - 4*t**3 - 23924*t + 19206 - 1204*t**2 - 66072*t + 20780.
-4*(t - 1)*(t + 151)**2
Suppose 75*x = 15*x + 18*x + 30*x + 60. Suppose 0 - 1/3*d**2 + x*d = 0. Calculate d.
0, 15
Solve -5*u**3 + 117 - 908*u**2 - 790*u**2 - 535*u + 148 + 1973*u**2 = 0 for u.
1, 53
Let p(d) be the third derivative of 1/336*d**8 - 16*d**2 + 0*d - 1/120*d**6 + 0*d**4 + 0*d**3 + 0*d**5 + 0*d**7 + 0. Factor p(c).
c**3*(c - 1)*(c + 1)
Let v = 1901/633 + -71/211. Let z(d) be the third derivative of -1/30*d**6 + 0 - 2/15*d**5 + 7/6*d**4 - 3*d**2 + 0*d - v*d**3. Factor z(c).
-4*(c - 1)**2*(c + 4)
Let i(k) be the first derivative of 7*k**4/24 + 58*k**3/3 + 81*k**2/4 - 49*k/3 - 61. Solve i(y) = 0 for y.
-49, -1, 2/7
Let g(l) = l**2 + 11*l - 12. Let k be g(0). Let z be (k - -12)*(0 + (-1)/3). Factor 4*o**3 - 5/2*o**4 + z*o + 0 + 2*o**2.
-o**2*(o - 2)*(5*o + 2)/2
Let y(c) be the second derivative of -c**4/24 + 49*c**3/12 + 135*c**2/2 - 4176*c. Solve y(v) = 0 for v.
-5, 54
Let u(v) be the first derivative of v**6/60 + 17*v**5/40 - 3*v**4/4 - 125*v - 9. Let j(a) be the first derivative of u(a). Find l such that j(l) = 0.
-18, 0, 1
Factor -49*v**2 + 29187*v**3 - 29188*v**3 - 94*v - 26 + 26.
-v*(v + 2)*(v + 47)
Determine a, given that -2370*a - 91*a**2 - 2375 + 201*a**2 - 105*a**2 = 0.
-1, 475
Let n(l) be the third derivative of 0 - 7/480*l**6 + 45*l**2 - 1/8*l**5 + 125/48*l**3 + 0*l - 25/96*l**4 - 1/1680*l**7. Factor n(f).
-(f - 1)*(f + 5)**3/8
Let l(u) be the first derivative of 8*u**2 + 1/12*u**4 + 1/60*u**5 - 1/2*u**3 + 0*u + 14. Let s(z) be the second derivative of l(z). Solve s(m) = 0 for m.
-3, 1
Let -564/7*j**3 + 373248/7 + 2/7*j**4 + 38034/7*j**2 + 243648/7*j = 0. Calculate j.
-3, 144
Let a be 3996/252 + (-8)/(-7). Suppose 0 = g + n - 5, -12*g = -a*g + 2*n - 10. Factor g + 0*p + 1/2*p**3 + 9/2*p**2.
p**2*(p + 9)/2
Let l(f) be the third derivative of f**3 + 0 + 1/60*f**6 + f**2 - 1/12*f**4 + 0*f - 1/10*f**5. Suppose l(u) = 0. What is u?
-1, 1, 3
Let i be (-184)/(-10) + 4/(-10). Suppose -i*a - 20 = -56. Factor 0*r + 32/11*r**4 + 0 + a*r**3 + 4/11*r**2 + 14/11*r**5.
2*r**2*(r + 1)**2*(7*r + 2)/11
Let q be -5 - (4/12 - 44/6). Suppose -4*v**3 - 3*v**q + 15*v - 51*v + 16 + 27*v**2 = 0. Calculate v.
1, 4
Suppose a = -4*v - 233, -2*a + 6*a + 294 = -5*v. Let u = v + 60. Factor -2*c**3 + 0 - u*c**2 - 2/3*c**4 - 2/3*c.
-2*c*(c + 1)**3/3
Let v = -757214/143 + 58254/11. Find k such that 2/13*k**2 + 8/13 - v*k = 0.
2
Let t = 3846 - 92303/24. Let n(x) be the first derivative of -t*x**3 + 3/8*x - 1/8*x**2 - 11. Factor n(f).
-(f - 1)*(f + 3)/8
Let m(k) be the second derivative of k**10/6048 + k**9/3024 - k**8/1344 - k**7/504 + 11*k**4/3 + 39*k. Let d(z) be the third derivative of m(z). Factor d(n).
5*n**2*(n - 1)*(n + 1)**2
Let j(z) be the second derivative of z**7/189 - 14*z**6/45 + 163*z**5/30 + 40*z**4/27 - 5888*z**3/9 - 4096*z**2 - z - 395. Let j(p) = 0. What is p?
-3, 16
Let m(q) be the second derivative of -15*q**2 - q - 55/6*q**3 + 5 - 5/2*q**4 - 1/4*q**5. Factor m(d).
-5*(d + 1)*(d + 2)*(d + 3)
Let y(j) = -3*j**2 + 6*j + 9. Let s be y(3). Let p(u) be the first derivative of s*u**2 - 5/3*u**3 + 0*u - 5/2*u**4 + 1 - u**5. Factor p(l).
-5*l**2*(l + 1)**2
Let i be (3074/530 - 20/2) + (-80)/(-16). Solve 112/5*t - 48/5 + 4*t**4 - 68/5*t**2 - 12/5*t**3 - i*t**5 = 0.
-2, 1, 2, 3
Let k(a) be the third derivative of a**6/220 + a**5/55 - 3*a**4/44 + 2*a**2 + 194. Factor k(h).
6*h*(h - 1)*(h + 3)/11
Let g(q) be the first derivative of q**3/15 - 28*q**2 + 3920*q - 883. Factor g(y).
(y - 140)**2/5
Let h be (9 + -4 + 1)/((-22)/6809). Let l = h - -1861. Factor -4/7*g**5 - 16/7*g**l - 20/7*g**3 + 0*g + 0 - 8/7*g**2.
-4*g**2*(g + 1)**2*(g + 2)/7
Suppose 58*p = 34*p + 576. Let a be (-16)/(-9)*12/p. Factor 2*j - 4/3*j**2 + 2/9*j**3 - a.
2*(j - 4)*(j - 1)**2/9
Let h(k) be the second derivative of -9*k**2 + 18*k - 4/21*k**3 + 1/7*k**4 + 1/30*k**5 + 0. Let d(j) be the first derivative of h(j). Factor d(f).
2*(f + 2)*(