3 + 13 - 12/7*z + 1/7*z**2. Factor y(n).
2*(n + 2)*(2*n - 3)/7
Let n be 16/(-4) - 4/(-1). Suppose n = b + b - 4. Factor -h**3 + 284*h**2 - 142 + 485 - 263*h**b - 147*h + 0*h**3.
-(h - 7)**3
Factor -96/5*u**3 + 176418/5 + 2/5*u**4 - 36/5*u**2 + 28512/5*u.
2*(u - 33)**2*(u + 9)**2/5
Let n(v) = 968*v**4 - 2876*v**3 + 2876*v**2 - 960*v + 4. Let d(j) = -j**5 - j**3 - j**2 + j - 1. Let y(l) = 4*d(l) + n(l). Find t such that y(t) = 0.
0, 1, 239
Let o = -995 + 1002. Let n be o/(14/24)*72/540. Find q such that n*q + 6/5*q**2 - 1/5*q**4 + 3/5 + 0*q**3 = 0.
-1, 3
Let g(l) be the second derivative of 1/20*l**5 + 17*l - 2*l**3 + 17/2*l**2 + 0 + 3/8*l**4. Let b(z) be the first derivative of g(z). Factor b(s).
3*(s - 1)*(s + 4)
Let w(u) = 77*u**3 - 15*u**2 - 505*u - 347. Let v(y) = -26*y**3 + 2*y**2 + 168*y + 116. Let o(a) = 11*v(a) + 4*w(a). Find n, given that o(n) = 0.
-14/11, -1, 4
Factor 6/5*t + 22/5*t**2 + 2/5*t**3 - 54.
2*(t - 3)*(t + 5)*(t + 9)/5
Let q(a) be the first derivative of -7*a**6/9 + 214*a**5/15 - 485*a**4/6 + 1730*a**3/9 - 196*a**2 + 72*a + 2225. Suppose q(x) = 0. What is x?
2/7, 1, 2, 3, 9
Suppose -3040*r + 603 = -5825*r + 2986*r. Let 9/5*t**5 - 6/5 - 48/5*t**4 + 39/5*t - 18*t**2 + 96/5*t**r = 0. Calculate t.
1/3, 1, 2
Suppose -4*y + n + 13 = 5, 0 = 4*y - 4*n - 8. Suppose -22/5 + 22/5*f**y + 2/5*f**3 - 2/5*f = 0. Calculate f.
-11, -1, 1
Let l(x) be the second derivative of 11979*x**6/10 - 29403*x**5/20 - 1023*x**4/2 - 194*x**3/3 - 4*x**2 - 3*x - 2. Factor l(h).
(h - 1)*(33*h + 2)**3
Let z(o) be the third derivative of 0 - 32/105*o**5 + 0*o**3 - 1/210*o**6 - 94*o**2 - 128/21*o**4 - 2*o. Factor z(d).
-4*d*(d + 16)**2/7
Let d(i) be the first derivative of i**5/120 - i**4/3 + 7*i**3/3 - 20*i**2/3 + 63*i + 149. Let x(v) be the first derivative of d(v). Factor x(f).
(f - 20)*(f - 2)**2/6
Let h(j) be the third derivative of j**8/784 + 46*j**7/245 + 2021*j**6/280 - 2209*j**5/70 - j**2 + 2955*j. Factor h(n).
3*n**2*(n - 2)*(n + 47)**2/7
Let z be ((400/30)/(-8))/((-60)/1575). Determine c, given that 25/2*c**3 - 5*c**5 + 30*c + 45/4*c**4 - 5 - z*c**2 = 0.
-2, 1/4, 1, 2
Let u(j) be the third derivative of 1/60*j**5 - 10/3*j**3 - 47*j**2 + 0*j - 19/24*j**4 + 2. Determine q, given that u(q) = 0.
-1, 20
Find v such that -520 - 660*v - 5/2*v**3 - 285/2*v**2 = 0.
-52, -4, -1
Suppose 3*f - 12 = 0, 0*f = -2*k - 2*f + 580. Let i = -286 + k. Solve -1/4*m**3 + i + 1/4*m + 0*m**2 = 0.
-1, 0, 1
Suppose 0 = -k - 4*j - 7, -k - 6*j = 18 - 5. Let g(u) be the first derivative of 1/2*u**2 - 1/5*u**k + 0*u + 1/3*u**3 - 1/4*u**4 - 33. Solve g(o) = 0 for o.
-1, 0, 1
Let m be (-2)/4 + 10/4. Factor 30*o**m - 6*o**2 - 51*o - 103 - 3*o**3 + 133.
-3*(o - 5)*(o - 2)*(o - 1)
Let y(p) = -p**2 - 2647*p - 432979. Let l(v) = -8*v**2 - 18524*v - 3030848. Let a(c) = 3*l(c) - 20*y(c). Factor a(z).
-4*(z + 329)**2
Let d be (-83)/14 + -6 + 16/(-28). Let s = d - -13. Factor -1 - 3/2*a**2 - s*a**3 + 5/2*a + 1/2*a**4.
(a - 1)**3*(a + 2)/2
Let d(q) be the first derivative of 1/6*q**3 - 39/4*q**2 + 19*q - 128. Factor d(s).
(s - 38)*(s - 1)/2
Let p(n) be the third derivative of -n**7/2415 - 19*n**6/276 - 225*n**5/46 - 53125*n**4/276 - 312500*n**3/69 - 57*n**2 - 13*n. Find j such that p(j) = 0.
-25, -20
Let g(q) be the third derivative of -q**2 + 0*q**4 - 1/280*q**8 + 7/75*q**5 + 46/525*q**7 + 11*q - 19/100*q**6 + 0*q**3 + 0. Let g(i) = 0. What is i?
0, 1/3, 1, 14
Let m be 12/(-16) + (-207)/(-4). Let y = m + -27. Factor -28*b - 5 - y*b + 1 + 44*b - 4*b**2.
-4*(b + 1)**2
Let z be (6/21)/(41 - (-13520)/(-336)). Let b(j) = j**2 + 5*j + 2. Let g be b(-5). Factor 3/4*v - 3/8 - z*v**g.
-3*(v - 1)**2/8
What is y in 0 + 117/2*y - 3/4*y**3 + 231/4*y**2 = 0?
-1, 0, 78
Solve 0 - 2*f**2 + 2*f**4 - 3/2*f**3 - 1/2*f**5 + 2*f = 0 for f.
-1, 0, 1, 2
Let y be 84/(-49) - (-846)/126. Let o(r) be the second derivative of 15/2*r**2 + 0 + 3*r**4 + 4*r - 1/10*r**6 + 7*r**3 + 3/10*r**y. Factor o(u).
-3*(u - 5)*(u + 1)**3
Let u(x) be the third derivative of -x**6/24 + 177*x**5/4 - 1765*x**4/8 + 2645*x**3/6 - 8682*x**2. Factor u(v).
-5*(v - 529)*(v - 1)**2
Factor 9174*h**2 - 4613*h**2 + 22*h**3 + 18*h - 4599*h**2 - 2*h**4.
-2*h*(h - 9)*(h - 1)**2
Let s(r) be the first derivative of 3*r**4/4 - 55*r**3 + 1581*r**2/2 + 20181*r - 649. What is y in s(y) = 0?
-7, 31
Let p(f) be the third derivative of f**5/30 + 67*f**4/2 + 13467*f**3 + 334*f**2. Let p(h) = 0. Calculate h.
-201
Factor 304*w**2 - 72981 - 306*w**2 + 5573*w - 1917*w - 1597811.
-2*(w - 914)**2
Let a(t) be the second derivative of -t**5/5 - 2*t**4 + 2*t**3/3 + 12*t**2 + 8*t + 655. Factor a(m).
-4*(m - 1)*(m + 1)*(m + 6)
Let c(a) be the third derivative of a**8/168 + 22*a**7/105 + 79*a**6/30 + 208*a**5/15 + 147*a**4/4 + 54*a**3 + 4*a**2 - 801. Solve c(u) = 0 for u.
-9, -2, -1
Factor -2/7*x**2 + 388/7 + 190/7*x.
-2*(x - 97)*(x + 2)/7
Suppose t = -4*u + 36, 20*u - 18*u + 4 = 5*t. Let w(z) be the first derivative of z**2 + 2/9*z**3 - 1/18*z**t + 10/9*z - 4. Factor w(a).
-2*(a - 5)*(a + 1)**2/9
Determine l so that -185*l - 5/2*l**2 - 365/2 = 0.
-73, -1
Factor -74529/2 + 273*a - 273*a**3 + 1/2*a**4 + 37264*a**2.
(a - 273)**2*(a - 1)*(a + 1)/2
Suppose 7*q - r = 10*q - 20, q = 4*r - 15. Factor 32/9*n**2 - 2/9*n**q + 4/9 - 2*n + 4/3*n**4 - 28/9*n**3.
-2*(n - 2)*(n - 1)**4/9
Let a(f) be the second derivative of -2*f**7/105 - 274*f**6/75 + 278*f**5/25 - 2*f**4/15 - 554*f**3/15 + 278*f**2/5 + 20*f - 16. Let a(i) = 0. Calculate i.
-139, -1, 1
Let o(z) be the third derivative of z**8/84 - 2*z**7/35 - z**6/30 + z**5/5 - 2*z**2 - 816. Factor o(x).
4*x**2*(x - 3)*(x - 1)*(x + 1)
Factor 120/7*h + 27/7*h**3 - 282/7*h**2 + 0.
3*h*(h - 10)*(9*h - 4)/7
Let q = -53/15764 + 1997/7882. Solve 1/4*c**3 + q*c + 1/2*c**2 + 0 = 0 for c.
-1, 0
Suppose 5*h + 4*p = 34, -p = -2*p + 6. Suppose 2*y = 3*y + 1, 5*r = -5*y - 5. Factor 1 + i**2 + 0 + r - 2*i**h.
-(i - 1)*(i + 1)
Let w = 1243194 + -1243191. Factor 20/13 + 16/13*t**2 - 2/13*t**w + 38/13*t.
-2*(t - 10)*(t + 1)**2/13
Let q(t) be the first derivative of -t**6/5 + 16*t**5/25 + 16*t**4/5 - 96*t**3/5 + 176*t**2/5 - 128*t/5 - 466. Find b such that q(b) = 0.
-4, 2/3, 2
Let s = 65 + -73. Let f be 4182/1148*3/((-18)/s). Solve 15/7*b**2 + 2/7*b + 3*b**4 + f*b**3 + 0 = 0 for b.
-1, -1/3, -2/7, 0
Let o = -18 - -20. Let z(i) = -i**2 - 32*i + 14. Let q be z(-32). Solve -9 + q*g**2 + 19*g - 2*g**o + 14*g = 0.
-3, 1/4
Let b(r) be the first derivative of 1331*r**4/8 - 30492*r**3 + 2095632*r**2 - 64012032*r - 2884. Solve b(s) = 0 for s.
504/11
Let t(z) be the first derivative of z**6/24 + z**5/45 - z**4/8 + z**3/9 + z**2/2 - 9*z + 44. Let o(s) be the second derivative of t(s). What is g in o(g) = 0?
-1, 1/3, 2/5
Let b(t) be the second derivative of -t**8/23520 - 13*t**7/4410 - 52*t**4/3 + t + 59. Let l(w) be the third derivative of b(w). What is i in l(i) = 0?
-26, 0
Let m(b) be the third derivative of -b**8/1176 - 4*b**7/105 - 131*b**6/420 + 464*b**5/105 - 64*b**4/7 + 2*b**2 + 9*b + 18. Determine d, given that m(d) = 0.
-16, 0, 1, 3
Solve -320/3*o**2 + 12800*o + 0 + 2/9*o**3 = 0.
0, 240
Let 12/17*z + 0 + 2/17*z**3 + 8/17*z**4 - 22/17*z**2 = 0. What is z?
-2, 0, 3/4, 1
Let n = 8178 - 8178. Factor 0 + 3/2*y**5 + 7/2*y**3 + n*y + 4*y**4 + y**2.
y**2*(y + 1)**2*(3*y + 2)/2
Factor 112/3 + 2/9*i**3 + 14/3*i**2 + 244/9*i.
2*(i + 2)*(i + 7)*(i + 12)/9
Let f(i) = 2*i**3 - 20*i**2 - 22*i. Let t be f(11). Let y(v) be the first derivative of t*v - 3/7*v**2 - 8 - 2/21*v**3. Factor y(a).
-2*a*(a + 3)/7
Let l(i) = 31*i**2 - 3680*i - 3393000. Let d(t) = -8*t**2 - t + 9. Let m(a) = -4*d(a) - l(a). Determine r so that m(r) = 0.
-1842
Let t be 105/14*24/(-30) + (9 - 1). Solve 272/9*v - 74/9*v**t - 40/9 - 26/9*v**3 = 0 for v.
-5, 2/13, 2
Let p(d) be the third derivative of -50*d**2 + 0 - 3*d - 7/20*d**4 - 1/150*d**5 + 0*d**3. Let p(r) = 0. Calculate r.
-21, 0
Let r(x) be the second derivative of x**6/1980 - 7*x**5/132 + 17*x**4/66 + 4*x**3 - 84*x. Let c(p) be the second derivative of r(p). Factor c(h).
2*(h - 34)*(h - 1)/11
Let r(w) = -2*w**3 + 2*w**2 - w + 1. Let x(n) = -35*n**3 + 2175*n**2 + 7615*n + 2705. Let p(t) = -5*r(t) + x(t). Solve p(k) = 0 for k.
-3, -2/5, 90
Let p be -2 - (0 - 634/(-1)). Let g = p + 1236. Solve 592 - 16*o**3 - 24*o**2 + 28*o + 3*o**4 + 29*o**4 