r 6*l**2 + c*l**2 - 9680 + 440*l - 13*l**2.
-5*(l - 44)**2
Let 64/21 - 82/21*o**3 + 2/21*o**4 + 214/21*o**2 - 200/21*o + 2/21*o**5 = 0. Calculate o.
-8, 1, 4
Factor -639*f - 281 - 612*f**2 - 195 - 144 + 4*f**3 - 597*f.
4*(f - 155)*(f + 1)**2
Let h(b) be the third derivative of b**7/105 + 62*b**6 + 115320*b**5 + 14298*b**2. Factor h(z).
2*z**2*(z + 1860)**2
Factor 9*n**4 + 3013 + 6266*n**2 - 606*n + 220*n**3 - 7*n**4 + 10179*n + 2819 + 2307*n.
2*(n + 1)**2*(n + 54)**2
Let q(f) = f**3 - 6*f**2 + 293*f - 2098. Let j be q(7). Factor 2500/9 + 4/9*p**j - 200/9*p.
4*(p - 25)**2/9
Let w = -1288824 - -3866521/3. Factor -5*j**2 - 21*j - 1/3*j**3 - w.
-(j + 1)*(j + 7)**2/3
Let -60*h**2 + 6 + 207*h**2 + 88*h - 2 + 4 + 4 - 27*h**3 = 0. Calculate h.
-1/3, -2/9, 6
Let q(i) be the first derivative of -2*i**3/27 + 970*i**2/3 - 470450*i + 355. Solve q(u) = 0.
1455
Let n(h) be the second derivative of -2/3*h**2 + 5/54*h**4 - 3 + 6*h - 5/27*h**3 + 1/18*h**5 + 1/135*h**6. Let n(g) = 0. Calculate g.
-3, -2, -1, 1
Let r(x) be the second derivative of -x**5/5 + 80*x**4/3 - 952*x**3 - 14112*x**2 - 280*x + 15. Find b such that r(b) = 0.
-4, 42
Determine w, given that -60/7*w - 26/7*w**4 - 115/7*w**3 - 148/7*w**2 + 0 + 1/7*w**5 = 0.
-2, -1, 0, 30
Suppose 0 = -5*o, -k + 0*k + 4*o = -6. Suppose 0 = -2*i + 4*j + 20 - k, -3*j - 6 = 0. Suppose 4*m**3 + 0*m - m - 3*m**i = 0. Calculate m.
-1, 0, 1
Let a = -120482 - -120484. Let 0 + 32/3*d - 4/3*d**3 + 8/3*d**a = 0. Calculate d.
-2, 0, 4
Let s(f) be the third derivative of 0 + 7/40*f**6 - 27/4*f**5 - 105*f**2 + 0*f + 41/2*f**4 - 18*f**3. What is k in s(k) = 0?
2/7, 1, 18
Find t, given that -4/9*t**3 - 200*t**2 + 0 - 22500*t = 0.
-225, 0
Factor 0*i - 1/6*i**4 + 0 + 37/6*i**3 - 6*i**2.
-i**2*(i - 36)*(i - 1)/6
Suppose 4*i = -0*i + 60. Suppose 0 = -i*h + 10*h + 20. Determine f so that 5*f**h + 45*f**3 + 47*f**2 + 4 - 4 + 88*f**2 + 135*f = 0.
-3, 0
Let r be (-18)/1*(-6)/9. Suppose -3*g = -j - 8, -2*j - 2*g = -g - r. Factor 14*n**3 - 2*n**4 + 3*n**4 + 60*n**2 - 125 + 50*n + 0*n**4 + 0*n**j.
(n - 1)*(n + 5)**3
Let n(c) be the third derivative of -c**6/60 - c**5 - 178*c**2 + 4. Factor n(m).
-2*m**2*(m + 30)
Let x(j) be the third derivative of -j**5/30 - 15*j**4/4 - 350*j**3/3 - 399*j**2 - 4. Suppose x(v) = 0. What is v?
-35, -10
Factor -751538/9 - 2/9*t**2 - 2452/9*t.
-2*(t + 613)**2/9
Let l(g) be the first derivative of -1/16*g**4 + 1/4*g**3 - 196 - 15/4*g + 13/8*g**2. Factor l(h).
-(h - 5)*(h - 1)*(h + 3)/4
Let s(i) be the first derivative of -i**5/4 - 5*i**4/12 + 88*i - 206. Let c(m) be the first derivative of s(m). Factor c(w).
-5*w**2*(w + 1)
Suppose -278*t + 284*t - 5*n = -53, -3*t - 46 = -4*n. Solve 2*i + 0 - 13/3*i**t + 1/3*i**4 + 7/3*i**3 - 1/3*i**5 = 0 for i.
-3, 0, 1, 2
Find c, given that 3*c**2 + 261*c + 9601563 - 11879*c + 884*c = 0.
1789
Let x(f) be the first derivative of 33/2*f**2 + 0*f - 23/2*f**3 + 84 + 3/8*f**4. Factor x(l).
3*l*(l - 22)*(l - 1)/2
Let j = -30684 - -30687. Solve -2/17*i**j + 6/17*i**2 + 0*i - 8/17 = 0 for i.
-1, 2
Let a(g) be the second derivative of g**7/14 - 109*g**6/10 + 2661*g**5/4 - 81871*g**4/4 + 330584*g**3 - 2859936*g**2 + 649*g + 1. Factor a(j).
3*(j - 31)**3*(j - 8)**2
Let u(c) be the first derivative of 0*c + 93 - 1/6*c**3 + 1/2*c**2. Factor u(p).
-p*(p - 2)/2
Factor 2/5*y**4 + 836/5*y + 284/5*y**3 + 168*y**2 + 278/5.
2*(y + 1)**3*(y + 139)/5
Let p(r) be the second derivative of 3*r**5/40 + 29*r**4/8 + 56*r**3 + 147*r**2 + 2095*r. Solve p(f) = 0 for f.
-14, -1
Let h(p) be the third derivative of 1/120*p**5 + 1/6*p**4 + p**2 + 0 - 3/4*p**3 + 17*p. Factor h(a).
(a - 1)*(a + 9)/2
Let m(j) = 80*j**2 + 301*j + 301. Let l(z) = -93*z**2 - 351*z - 351. Let n(g) = 13*l(g) + 15*m(g). Solve n(o) = 0 for o.
-4, -4/3
Factor -12*u + u**5 + 13732*u**4 - 13719*u**4 - 21*u**2 + 11*u**3 + 8*u**2.
u*(u - 1)*(u + 1)**2*(u + 12)
Let v = 2421 + -2419. Let r(x) be the first derivative of 0*x + 6 + 0*x**3 + 0*x**v + 2/35*x**5 + 0*x**4. Factor r(t).
2*t**4/7
Let p(v) be the second derivative of -16/3*v**3 - 239/15*v**6 + 27 + 14*v**4 - 12/5*v**5 + 0*v**2 - 2*v + 20/7*v**7. Solve p(n) = 0.
-2/3, 0, 1/4, 2/5, 4
Let h(r) be the second derivative of 11/30*r**6 + 1 + 1/21*r**7 - 2/3*r**3 + 8*r + r**5 - 2*r**2 + 11/12*r**4. Determine v so that h(v) = 0.
-2, -1, 1/2
Let f(y) be the first derivative of -y**6/24 + 5*y**5/2 - 59*y**2/2 + y - 74. Let v(w) be the second derivative of f(w). Factor v(n).
-5*n**2*(n - 30)
Factor 100/7*v + 66/7*v**2 + 0 + 8/7*v**3.
2*v*(v + 2)*(4*v + 25)/7
Let y = -2375 + 4751/2. Let h(g) be the second derivative of 0*g**2 + 8*g + 0 + y*g**3 + 1/12*g**4. Let h(t) = 0. Calculate t.
-3, 0
Let d(a) = 15*a**3 + 39*a**2 + 24*a. Let x = 90 + -86. Let s(f) = 7*f**3 + 19*f**2 + 12*f. Let p(c) = x*d(c) - 9*s(c). What is z in p(z) = 0?
-4, -1, 0
Let v(g) be the second derivative of g**4/18 - 103*g**3/3 - 310*g**2/3 + 4581*g + 2. Suppose v(s) = 0. What is s?
-1, 310
Let t = -189/269 - -1185/538. Let k(y) be the second derivative of -2*y**2 - t*y**3 - 44*y + 0 - 1/20*y**5 - 1/2*y**4. Factor k(v).
-(v + 1)**2*(v + 4)
Let m(y) be the first derivative of 3*y**4 + 0*y + 6/5*y**3 - 13/5*y**2 + 16/25*y**5 - 5. Find q, given that m(q) = 0.
-13/4, -1, 0, 1/2
Find v such that 1/4*v**4 + 59/4 + 89/2*v + 45*v**2 + 31/2*v**3 = 0.
-59, -1
Suppose 12449986629*i - 23242041/2*i**2 - 3/4*i**4 - 20007128512803/4 + 4821*i**3 = 0. Calculate i.
1607
Suppose 8 = -y, -60*y + 36 = -2*c - 65*y. Let z(g) be the first derivative of 44/5*g**c - 484/5*g - 36 - 4/15*g**3. Determine s so that z(s) = 0.
11
Let q be 8569/(-4674)*16/(-33). Factor 0 - q*r + 4/9*r**4 + 20/9*r**2 - 16/9*r**3.
4*r*(r - 2)*(r - 1)**2/9
Let c(r) be the first derivative of -529*r**6/42 + 3128*r**5/35 - 6073*r**4/28 + 3686*r**3/21 + 178*r**2/7 + 8*r/7 + 390. Factor c(o).
-(o - 2)**3*(23*o + 1)**2/7
Let a = -313 + 483. Solve 18*c**3 - a*c**2 - 8*c**3 - 5*c**3 = 0 for c.
0, 34
Suppose 0 = -13*w + 449 + 1683. Factor 81*r**2 - 20 - w*r**2 + 24*r + 79*r**2.
-4*(r - 5)*(r - 1)
Let q(h) = -3*h - 6. Let n(f) be the first derivative of -2*f**2 + 1/3*f**3 - 7*f + 8. Let x(o) = 3*n(o) - 2*q(o). Factor x(c).
3*(c - 3)*(c + 1)
Let t be -3 - 12/(-10)*(-8450)/(-160). Factor 0*m + 0 - 129/8*m**4 + t*m**3 + 9/8*m**5 - 147/8*m**2.
3*m**2*(m - 7)**2*(3*m - 1)/8
Let n be 13/(-299)*(9 + (-1200)/72). Factor -32*o**2 - n*o**3 - 1024*o - 32768/3.
-(o + 32)**3/3
Let j(u) be the third derivative of -18*u**3 - 13/20*u**5 - 1/70*u**7 - 1/4*u**6 + 0 + 0*u + 34*u**2 + 15/2*u**4. Factor j(y).
-3*(y - 1)**2*(y + 6)**2
Suppose -1784 = -713*g + 265*g - 336*g - 108*g. Let t = 29/3 - 9. What is u in -2/9*u**4 + 4/9*u**3 + t*u**g - 16/9*u + 8/9 = 0?
-2, 1, 2
Let d(j) be the first derivative of 3*j**4/16 + j**3 - 21*j**2/8 - 15*j/2 + 3143. Suppose d(a) = 0. What is a?
-5, -1, 2
Suppose -5 + 17/3*o**2 - 118/3*o + 8/3*o**3 = 0. What is o?
-5, -1/8, 3
Let u(b) = -32*b + 7. Let h = -713 - -713. Let w be u(h). Factor -3*a**5 - 1/3 + a - 10/3*a**3 + 2*a**2 - w*a**4.
-(a + 1)**3*(3*a - 1)**2/3
Let b be ((-6 - 3) + 1)/(-2). Let r(m) = -m**2 + 26*m + 11. Let o(h) = -h**2 + 23*h + 12. Let p(f) = b*o(f) - 3*r(f). Factor p(c).
-(c - 15)*(c + 1)
Let h(j) = 24*j**2 - 56*j + 212. Let w(y) = -5*y**2 + 10*y - 42. Let f(g) = 6*h(g) + 28*w(g). Factor f(p).
4*(p - 12)*(p - 2)
Let s(i) be the first derivative of -i**4/2 - 2872*i**3 - 6186288*i**2 - 5922339712*i - 13241. Factor s(h).
-2*(h + 1436)**3
Suppose -12*b = -24 - 60. Solve 2*m**3 - 37*m**3 + 5*m**5 - 12*m**3 + 30*m**2 + 20*m**4 - m**3 - b*m**3 = 0.
-6, 0, 1
Factor 466/7*n**3 + 118/7 + 114/7*n**4 + 471/7*n + 704/7*n**2 - 1/7*n**5.
-(n - 118)*(n + 1)**4/7
Let t(p) be the first derivative of 5*p**4/4 - 570*p**3 + 72240*p**2 + 295840*p + 216. Factor t(r).
5*(r - 172)**2*(r + 2)
Suppose -5*t = j - 11, 10*j - 8*j = -8. Factor 0*r**t + 4738*r**2 + 18*r + 2*r**3 + 8 - 4726*r**2.
2*(r + 1)**2*(r + 4)
Let b(k) = -k**2 - 34*k - 32. Let p be 2/(-2)*5 + 4. Let a(f) = f**2. Let m(z) = p*a(z) + b(z). Let m(s) = 0. What is s?
-16, -1
Let y(d) be the second derivative of -2*d**7/231 + 23*d**6/165 - 49*d**5/110 + 37*d**4/66 - 3*d**3/11 - 5*d + 248. Solve y(r) = 0 for r.
0, 1/2, 1, 9
Let g(p) = 14*p**3 + 596*p**2 + 514*p - 68. Let q(u) = u**2 - 1. Let v(s) = -2*g(s) - 36*q(s). Fa