y(h) = -h**2 + 68*h - 1073. Let g be y(25). Factor c**2 + d*c + 3*c**g - 2*c**2.
2*c*(c + 1)
Determine u so that -66 + 16690*u**2 - 31*u - 8342*u**2 - 8347*u**2 = 0.
-2, 33
Let x(m) be the first derivative of 421875*m**4/22 - 22500*m**3/11 + 900*m**2/11 - 16*m/11 + 529. Determine k, given that x(k) = 0.
2/75
Let w(f) be the third derivative of f**5/330 + 3*f**4/44 - 2*f**3/3 + 280*f**2. Factor w(i).
2*(i - 2)*(i + 11)/11
Let w = 1890672 - 32141344/17. Factor -w*i - 24/17*i**2 + 4/17*i**3 - 64/17 + 2/17*i**4.
2*(i - 4)*(i + 2)**3/17
Let -2/5*y + 1/5*y**2 - 624/5 = 0. Calculate y.
-24, 26
Let y = 163162/3 - 54378. Factor y*a**2 - 46/3*a - 10.
2*(2*a + 1)*(7*a - 15)/3
Let t(u) be the third derivative of u**7/945 + u**6/60 + u**5/18 + 7*u**4/108 + 1804*u**2. Factor t(f).
2*f*(f + 1)**2*(f + 7)/9
Let g = 40 + -39. Let c(m) = 3*m**2 + 2*m - 1. Let r be c(g). Determine j, given that -3*j**5 + 12*j - 11*j**r - j**4 - 12*j = 0.
-4, 0
Let f be (-2 + (-76)/(-30))/((-772)/(-5211)). Let -f*t**2 - 24/5*t - 3/5*t**3 + 0 = 0. What is t?
-4, -2, 0
Suppose 0 = 5*f - 4*o + 12 - 37, 2*f - 22 = 4*o. Let l be f*(-95)/15 - -3 - -5. Solve 5/6*h**2 + l - 5/2*h = 0 for h.
1, 2
Let w(a) be the third derivative of a**7/42 + a**6/24 - 5*a**5/12 + 5*a**4/8 - 30*a**2 - 4*a. Find r, given that w(r) = 0.
-3, 0, 1
Determine s so that -47/8*s**3 - 5/8*s**5 - 157/8*s**4 + 125/2*s + 481/8*s**2 + 31/2 = 0.
-31, -1, -2/5, 2
Let d = -50394/7 - -554810/77. Suppose 18/11*f**4 + 16/11 - 34/11*f**2 + 68/11*f**3 - d*f = 0. Calculate f.
-4, -1, 2/9, 1
Let h(f) be the second derivative of -20 - 9/5*f**5 + 3*f + 2/3*f**6 - 17/3*f**4 + 24*f**2 + 2/21*f**7 + 16/3*f**3. Suppose h(w) = 0. What is w?
-6, -1, 1, 2
Let j be (-258 + 264)*70/45. Determine t, given that 20/9 - j*t + 16/9*t**2 = 0.
1/4, 5
Let l(j) be the second derivative of 0*j**3 + 0*j**2 - 1/30*j**5 - 14*j + 1/6*j**4 - 1. Let l(a) = 0. What is a?
0, 3
Let y be (-2)/(-13) + (-333)/(-468)*4. Factor -2*c**4 - 8419*c**2 - 678*c**y - 6223392 - 224032*c + 342*c**3 - 368672*c - 1810*c**2 - 10939*c**2.
-2*(c + 42)**4
Let t(f) be the third derivative of f**6/300 - 169*f**5/30 + 5*f**2 - 63*f. Determine r, given that t(r) = 0.
0, 845
Suppose -4*p + 11 = -2*y - 1, y - 12 = -4*p. Let o(q) be the first derivative of -1/2*q**2 + 1/16*q**4 - 1/12*q**p + q + 2. Factor o(n).
(n - 2)*(n - 1)*(n + 2)/4
Suppose 7/3*g**3 + 31*g**2 - 31 - 7/3*g = 0. Calculate g.
-93/7, -1, 1
Let v be (-8 - (-23 + -4 + 11)) + 2282/(-2445). Factor -56/15*s**3 + 4/5*s - v*s**2 + 0.
-2*s*(s + 2)*(28*s - 3)/15
Let r(z) = 145*z**2 - 5063*z + 5074. Let l(o) = 60*o**2 - 2025*o + 2030. Let p(h) = 12*l(h) - 5*r(h). Factor p(v).
-5*(v - 202)*(v - 1)
Let g(v) = -453*v**2 - 2781*v - 369. Let b be g(-6). Factor b - 3/5*h**2 + 6/5*h.
-3*(h - 5)*(h + 3)/5
Let k(w) = 13*w**2 - 4427*w - 2446478. Let b(n) = -5*n**2 + n + 2. Let g(f) = 3*b(f) + k(f). Find y, given that g(y) = 0.
-1106
Let -217 - 540*n + 266 + 4*n**3 - 574 - 72*n**2 - 339 = 0. Calculate n.
-3, 24
Let w(n) be the first derivative of n**4/4 + 228*n**3 - 1371*n**2/2 + 686*n - 8404. Factor w(s).
(s - 1)**2*(s + 686)
Factor -90*q**2 + 15*q**3 - 14826 + 20*q**4 - 4*q**5 + 7412 + 7414 - q**5.
-5*q**2*(q - 3)**2*(q + 2)
Let a(t) be the second derivative of t**7/84 + 7*t**6/60 - 3*t**5/20 - 25*t**4/12 - 59*t**3/12 - 21*t**2/4 - t - 1838. Let a(k) = 0. What is k?
-7, -1, 3
Let q(n) be the first derivative of 21*n**3 - 42 + 1/10*n**5 - 24*n + 5/2*n**4 + 49*n**2. Let f(p) be the first derivative of q(p). Factor f(c).
2*(c + 1)*(c + 7)**2
Suppose -5*x = i + 1117, 10*x - 4*i + 460 = 8*x. Let b be (-4)/(x/20)*(-4)/(-10). Determine w so that -b*w**2 + w - 10/7 = 0.
2, 5
Let -201 + 25343*n**2 + 71 - 75*n - 25348*n**2 = 0. What is n?
-13, -2
Let o(n) be the first derivative of n**7/840 + n**6/20 + 27*n**5/40 - 5*n**3/3 - 213. Let z(m) be the third derivative of o(m). Factor z(j).
j*(j + 9)**2
Suppose 4*i - 6*i - 5*g = -14, 5*i = g + 8. Suppose 1 = h - i. Find a such that 8*a**5 - 120*a**4 - 100*a + 27*a**5 - 445*a**h + 10*a**5 - 380*a**2 = 0.
-1, -2/3, 0, 5
Suppose 19 = f + 4*a, 25 = 4*a + a. Let n be (-2)/(1 + f - 1). Factor o + 3 + 6*o**n - 5 + 7*o - 18*o**2 - 2*o**4 + 8*o**3.
-2*(o - 1)**4
Let c(w) be the third derivative of 1/30*w**3 + 0*w + 1/240*w**4 + 0 - 1/600*w**5 - 55*w**2. Solve c(z) = 0 for z.
-1, 2
What is k in 640*k**4 + 5989*k**3 + 2*k**5 - 17631*k**3 - 4*k**5 - 4831480*k - 6669*k**3 - 50379*k**3 + 2517500*k**2 + 2382032 = 0?
1, 106
Let a(l) be the second derivative of -l**5/4 + 1045*l**4/12 + 1585*l**3/3 + 1060*l**2 + 320*l + 4. Factor a(z).
-5*(z - 212)*(z + 1)*(z + 2)
Factor 286502 - 20849*q + 21833*q - 44438 + q**2.
(q + 492)**2
Let d(c) be the second derivative of -c**5/40 - 347*c**4/8 - 120409*c**3/4 - 41781923*c**2/4 - 2*c - 725. Let d(w) = 0. Calculate w.
-347
Let u(y) be the second derivative of -y**9/3024 - y**8/1344 + y**7/504 + y**6/144 + 49*y**4/6 + 9*y + 4. Let g(a) be the third derivative of u(a). Factor g(j).
-5*j*(j - 1)*(j + 1)**2
Let w(p) be the first derivative of 14 + 0*p + 27/80*p**6 - 9*p**3 - 9/20*p**5 + 1/4*p**4 + 0*p**2. Let b(r) be the third derivative of w(r). Factor b(i).
3*(9*i - 2)**2/2
Let j(z) be the first derivative of 5/4*z**4 + 1215/2*z**2 + 45*z**3 - 101 + 3645*z. Suppose j(v) = 0. Calculate v.
-9
Let a = -1037763 - -1037765. Let l + 1/7*l**a - 8/7 = 0. What is l?
-8, 1
Suppose -5*r + 10 + 0 = 0. Let j be (25/10 - 3)/(2/(-16)). What is u in -4*u**3 + j*u - 175*u**2 + 175*u**r = 0?
-1, 0, 1
Let i(h) be the first derivative of h**4/8 + 50*h**3/3 + 99*h**2/4 - 1325. Find r such that i(r) = 0.
-99, -1, 0
Let t(w) be the second derivative of w**7/14 + 3*w**6/10 + 9*w**5/20 + w**4/4 - 2*w + 550. Let t(x) = 0. Calculate x.
-1, 0
Let l(q) be the third derivative of q**8/2688 + q**7/84 + 137*q**6/960 + 43*q**5/48 + 53*q**4/16 + 15*q**3/2 + 2*q**2 - 3716*q. Solve l(c) = 0 for c.
-10, -3, -2
Factor 96 - 23*b**2 - 44*b**3 - 4*b + 28*b**3 + 17*b**3 + 14*b**2.
(b - 8)*(b - 4)*(b + 3)
What is c in -336 + 91*c**2 + 212 + 5*c**2 - 12*c**3 - 148*c - 2*c**4 + 190 = 0?
-11, 1, 3
Let o = 114 - 99. Suppose 16*h - o = 13*h. Solve 24 - 40*q - h*q**2 - 3*q**2 + 4*q**2 + 20*q = 0.
-6, 1
Suppose -26/9*v**2 + 256/9*v + 40/9 = 0. Calculate v.
-2/13, 10
Let t(s) be the second derivative of s**7/147 + s**6/7 + 33*s**5/70 - 115*s**4/42 + 22*s**3/7 - 430*s. Solve t(z) = 0 for z.
-11, -6, 0, 1
Let t be (-5)/6 + 2470/156. Let v(f) be the first derivative of 5/12*f**3 - t + 25/8*f**2 + 15/2*f. Suppose v(b) = 0. What is b?
-3, -2
Suppose 0 = -24*c - 2*c - 0. Let m(o) be the second derivative of -4/27*o**3 - 11*o + 2/27*o**4 + c + 0*o**2 - 1/90*o**5. Factor m(v).
-2*v*(v - 2)**2/9
Let p(d) be the third derivative of -d**5/15 + 47*d**4/6 - 92*d**3/3 + 442*d**2 - 2*d. Factor p(n).
-4*(n - 46)*(n - 1)
Factor -16/5*t**3 + 164/5*t**2 - 424/5*t + 96/5.
-4*(t - 6)*(t - 4)*(4*t - 1)/5
Let k(y) = -y**3 - y**2 - y - 3. Let c(u) = 12*u**3 - 24*u**2 + 56*u + 24. Let q(g) = c(g) + 8*k(g). Factor q(d).
4*d*(d - 6)*(d - 2)
Let k(s) be the first derivative of -8/3*s**2 + 0*s - 49/3*s**4 - 43 - 112/9*s**3. Factor k(q).
-4*q*(7*q + 2)**2/3
Suppose -13*a = 20*a + 6732. Let m be (-1)/((-35)/81) - a/(-340). Suppose 0*t + 18/7*t**3 + 0 + m*t**4 + 8/7*t**2 + 2/7*t**5 = 0. What is t?
-4, -1, 0
Let g(x) be the third derivative of -x**7/840 + 37*x**6/1440 - 161*x**5/720 + 283*x**4/288 - 13*x**3/6 + 876*x**2 + 2*x + 1. Find n such that g(n) = 0.
1, 3, 4, 13/3
Let q be (-8)/(-2) - ((-6 - -3) + 4). Let i be q/(3*(3 - 22/8)). Factor -20*b**2 + 125*b**5 + 42 - 61*b**3 - 42 - 25*b**i - 19*b**3.
5*b**2*(b - 1)*(5*b + 2)**2
Let d(j) be the first derivative of j**3/3 - 3*j**2/2 - 16*j + 23. Let p be d(-4). Determine w, given that p*w**2 - 2*w - 4*w**2 - 8*w**4 + 4*w**5 - 2*w = 0.
-1, 0, 1
Let x be ((-2)/((-12)/(-42)) - -1)/(-2). Let w be 13/(-2) + 21/x. Factor -5/2*f - w*f**2 + 3.
-(f - 1)*(f + 6)/2
Determine c, given that 956/13 + 2/13*c**3 - 482/13*c - 476/13*c**2 = 0.
-2, 1, 239
Let f(c) be the first derivative of -1/5*c**5 + 20 + 0*c**2 - 1/3*c**3 + 0*c - 1/2*c**4. Solve f(t) = 0 for t.
-1, 0
Let d(n) be the first derivative of 4*n**3/7 - 160*n**2/7 + 1488*n/7 + 357. Determine g, given that d(g) = 0.
6, 62/3
Find s such that 51*s**2 + 51*s**2 + 105*s + 