*(c - 37)**2/4
Let c(z) be the first derivative of 56 + 2/33*z**3 + 0*z + 7/11*z**2. Factor c(t).
2*t*(t + 7)/11
Suppose 80*m + 44 = 81*m. Let s = m - 38. Factor -25*x**4 + 9*x**3 - 28*x**4 + 50*x**4 - s*x**2.
-3*x**2*(x - 2)*(x - 1)
Let u(k) be the first derivative of -k**4/10 + 40*k**3 - 891*k**2/5 + 12057. Factor u(v).
-2*v*(v - 297)*(v - 3)/5
Let s(y) be the second derivative of -y**4/60 + 241*y**3/15 - 58081*y**2/10 + 154*y + 4. Factor s(w).
-(w - 241)**2/5
Suppose 5*s + 22 = 9*s + 3*q, -5*s - 2*q = -24. Factor 50*c**4 - 103*c**4 + 51*c**s - 10*c**3 + 12*c**2.
-2*c**2*(c - 1)*(c + 6)
Let z = 72 - 40. Factor -64*a**2 - z + 10*a**3 - 43*a**2 + 41*a**2 - 108*a.
2*(a - 8)*(a + 1)*(5*a + 2)
Let g be 2 + -1 + 2 - 0. Suppose 5*p - 41 = -4*l, -37*l - p = -34*l - 17. Find f such that 9/2*f - 3*f**l - 1 + 1/2*f**5 + 7*f**g - 8*f**2 = 0.
1, 2
Let y(t) be the first derivative of -t**6/3 - 8*t**5/5 + 32*t**3/3 + 16*t**2 + 531. Factor y(d).
-2*d*(d - 2)*(d + 2)**3
Let v = 112 + 624. Suppose 728*q = v*q. Find s such that -2/3*s - 1/3*s**3 + s**2 + q = 0.
0, 1, 2
Let s(a) = 2144*a + 75045. Let w be s(-35). Determine o so that 0*o**3 + 0*o**2 + 2/9*o**w + 0*o + 0 - 4/9*o**4 = 0.
0, 2
Let s = -4032/115 + 16933/460. Solve -3 - 1/8*b**2 - s*b = 0 for b.
-12, -2
Let x be 3/(-6)*((-8)/38 + 0). Let m(r) = r**3 + 3*r**2 + 14*r + 26. Let w be m(-2). Factor -4/19*v**4 + 14/19*v - x*v**5 + 16/19*v**w + 4/19 + 4/19*v**3.
-2*(v - 2)*(v + 1)**4/19
Let c = 1302514/11 + -118406. Factor c*h + 288/11 + 2/11*h**2.
2*(h + 12)**2/11
Let n(v) = v**2 + 19*v + 9. Let f = 69 + -56. Let x(g) = -g + 16. Let z be x(f). Let s(l) = -20*l - 8. Let r(i) = z*s(i) + 4*n(i). Factor r(p).
4*(p + 1)*(p + 3)
Let t(p) be the third derivative of -p**6/40 + 19*p**5/20 + 8*p**4 + 22*p**3 - 4194*p**2. What is k in t(k) = 0?
-2, -1, 22
Let m(h) = 3*h**2 + 8*h + 12. Let u(n) = n**3 + n**2 - n + 2. Let s(y) = m(y) + u(y). Let j be s(-3). Find v, given that 6/5*v**j + 3/5 + 9/5*v = 0.
-1, -1/2
Let j be (30/20 + (-62)/20)/(2006/(-2655)). Find c such that -16/17*c**2 + j + 54/17*c - 10/17*c**3 = 0.
-3, -3/5, 2
Let f = -33/23 - -1217/207. Let s be ((-1558)/(-492) - (-2)/(-12)) + 75/(-27). Factor -f*m**2 - s*m**5 + 0 - 4*m**3 - 16/9*m - 14/9*m**4.
-2*m*(m + 1)*(m + 2)**3/9
Let a(p) be the second derivative of 2*p**7/1575 - p**6/900 - p**5/450 + 13*p**2 - 212*p. Let n(y) be the first derivative of a(y). Factor n(w).
2*w**2*(w - 1)*(2*w + 1)/15
Let u(m) be the first derivative of -4*m**3/3 + 1604*m**2 - 643204*m - 1991. Factor u(h).
-4*(h - 401)**2
Let c = 2029430/5580751 + -6/507341. Solve -38/11*q - c + 20/11*q**2 = 0.
-1/10, 2
Let a(q) be the second derivative of q**4/28 - 811*q**3/14 + 1215*q**2/7 + 1115*q. Suppose a(p) = 0. Calculate p.
1, 810
Suppose 2*y + 121 = -9*y. Let m(q) = 2*q + 37. Let h be m(y). Factor t**3 - 7*t - 2*t**3 - 3*t**3 + h*t + 4*t**2.
-4*t*(t - 2)*(t + 1)
Let -9*n**2 + 1/4*n**3 - 216 + 81*n = 0. What is n?
6, 24
Let b be -23 - (7824/96)/(14/(-4)). Solve 12/7*d + b*d**2 + 10/7 = 0 for d.
-5, -1
Solve 145/2 - 579/2*p - 2*p**2 = 0.
-145, 1/4
Let n(u) be the first derivative of -u**5/10 + 5*u**4/4 - 23*u**3/6 + 7*u**2/2 - 47. Factor n(w).
-w*(w - 7)*(w - 2)*(w - 1)/2
Let v be (324/(-234))/18*0. Let 0 + 4*r**5 + v*r**2 - 10/3*r**4 + 0*r - 2/3*r**3 = 0. Calculate r.
-1/6, 0, 1
Let q be (-78)/(-130) - (-1472)/5. Find j such that -2*j**2 + 147*j - q*j + 138*j = 0.
-5, 0
Let t(q) = 4*q**4 + 19*q**3 - 21*q**2 - 91*q - 10. Let o(r) = 10*r**4 + 48*r**3 - 52*r**2 - 228*r - 24. Let f(h) = 5*o(h) - 12*t(h). Solve f(i) = 0 for i.
-6, -2, 0, 2
Find h, given that 71*h - 268 - 5098*h**2 - 5093*h**2 + 10190*h**2 = 0.
4, 67
Suppose 3*v - 1923 = 2*k, 0 = -2*k - 5*v - 2059 + 96. Let z = k + 8723/9. Solve 0 + 0*h + 0*h**2 + 2/9*h**4 - z*h**3 = 0.
0, 1
Let q(t) be the first derivative of -t**7/252 + t**6/20 - 7*t**5/40 + 19*t**4/72 - t**3/6 + 30*t + 32. Let w(x) be the first derivative of q(x). Factor w(l).
-l*(l - 6)*(l - 1)**3/6
Let m = -23 - -27. Suppose 0 = -5*p + 4*r + 30, 5*p + 3*r - 6 = m*p. Determine x so that -x**5 - 1573*x + 6*x**2 - p*x**3 - 3 - 3*x**4 + 1576*x + 4*x**5 = 0.
-1, 1
Let g(q) = q**2 + 9*q - 679. Let d be g(-31). Let n(w) = -w**3 - 5*w**2 - 2*w - 6. Let h be n(-5). Factor u**4 - 2*u**d - 3*u**h + u**4 + u**3.
-u**3*(u + 1)
Suppose 5*u - 51 = -4*y, 95*y = 100*y - 45. Suppose 9/4*x + 1/4*x**u + 3/2*x**2 + 0 = 0. Calculate x.
-3, 0
Let d(g) be the first derivative of 2*g**5/15 + g**4/3 - 18*g**3 + 66*g**2 - 9050. Factor d(z).
2*z*(z - 6)*(z - 3)*(z + 11)/3
Let i be -133*672/(-43776) + 9/(-24). Find k, given that i*k**2 - 107/3*k + 14 = 0.
2/5, 21
Let g = 2510 + -2507. Suppose -o = -g*c + 7, 13*c = 18*c + 5*o - 5. Factor -2/7*x**c + 0*x + 0 - 2/7*x**4 + 4/7*x**3.
-2*x**2*(x - 1)**2/7
Let q(y) = 6*y**2 - 432*y + 46601. Let i(k) = 11*k**2 - 864*k + 93213. Let g(b) = 5*i(b) - 9*q(b). Let g(j) = 0. Calculate j.
216
Suppose u + 0*u + j + 5 = 0, -4*j = -3*u + 13. Let l(y) = -42*y**3 + 2*y**2 + 2*y + 1. Let t be l(u). Factor -t*n**2 + 20*n - 20 + 20*n**2 + 18*n**2.
-5*(n - 2)**2
Suppose -a + 84 = 6*a. Suppose a*h - 11*h = 2. Suppose -2/17*d - 2/17*d**4 + 2/17*d**h + 2/17*d**3 + 0 = 0. What is d?
-1, 0, 1
Find q, given that 1/5*q**2 - 204/5 - q = 0.
-12, 17
Let g = -53162/9 + 5908. Find s, given that -2/9*s**2 + g*s + 0 = 0.
0, 5
Let 213/2*m**2 + 243 + 1/2*m**4 - 25/2*m**3 - 675/2*m = 0. What is m?
1, 6, 9
Let n be 21/20 - (922/(-1383))/((-15)/18). Factor 0 - n*f - 1/4*f**2.
-f*(f + 1)/4
Let f(h) be the first derivative of 18*h**5 + 104*h**3 - 177/2*h**4 - 27/2*h**2 + 7/2*h**6 - 46 - 42*h. Let f(b) = 0. Calculate b.
-7, -2/7, 1
Let r be 1/2*(-6)/(-3). Suppose 15*w - 1123 = -1078. Let z(f) = 6*f**2 - 42*f + 147. Let q(v) = -v**2. Let l(m) = r*z(m) + w*q(m). Factor l(b).
3*(b - 7)**2
Let d(o) be the first derivative of o**6/180 + 3*o**5/8 + 22*o**4/3 + 121*o**3/9 + 33*o - 193. Let c(r) be the first derivative of d(r). Factor c(h).
h*(h + 1)*(h + 22)**2/6
Let b(t) = -t**3 + 9*t**2 - 7*t - 6. Let y be b(7). Let o = -38 + y. Factor -3*z**3 - 4*z**4 + 2*z**2 + 3*z**o + z**4 + z**2.
3*z**2*(z - 1)**2*(z + 1)
Let m(z) be the second derivative of -2*z**6/135 - 28*z**5/45 - 68*z**4/27 + 1280*z**3/27 - 512*z**2/3 - 2640*z. Solve m(i) = 0.
-24, -8, 2
Let u = 144 + -141. Factor -8*p**2 - 7*p**2 - 21*p - 223 + 214 - u*p**3.
-3*(p + 1)**2*(p + 3)
Suppose -2*u + 13 = b, 2*u - 4*b + 5 + 7 = 0. Factor 673 + j**3 - u*j**2 - 691 - 21*j + 2*j**2.
(j - 6)*(j + 1)*(j + 3)
Let r be -1*(-8 + -2 + 5). Let p(z) = 73*z**2 - 11*z - 15. Let y(a) = 145*a**2 - 20*a - 30. Let w(c) = r*p(c) - 3*y(c). Factor w(i).
-5*(2*i - 1)*(7*i + 3)
Let k(p) = 33*p - 39. Let s be k(1). Let l be (6/18)/((-2)/s)*0. Solve 2/15*v**2 + l - 4/15*v + 2/15*v**3 = 0.
-2, 0, 1
Solve -14 - 1/2*x**3 + 1/2*x**4 - 59/2*x - 33/2*x**2 = 0 for x.
-4, -1, 7
Suppose 3*r + 264 = 9*r. Let o = r + -42. Solve 11*s**2 - 7*s**3 + 11*s**3 + 60*s + 25*s**o - 100 = 0.
-5, 1
Let r(j) be the first derivative of j**6/6 - 151*j**5/5 - 155*j**4/4 + 455*j**3/3 + 77*j**2 - 304*j - 468. Let r(l) = 0. Calculate l.
-2, -1, 1, 152
Let r = -100/1121 + -32/59. Let y = r + 170/209. Determine h so that -y*h**4 - 6/11*h**2 + 0*h - 8/11*h**3 + 0 = 0.
-3, -1, 0
Let c = 248131/6 - 41251. Let u = -6779/66 + c. Determine f so that u*f - 32/11 - 2/11*f**2 = 0.
4
Let g(t) = 33*t**3 - 55*t**2 + 40*t + 2*t**3 - 30 + 10*t. Let n(c) = -c**3 + c**2 - c + 1. Let v(s) = -g(s) - 30*n(s). Factor v(b).
-5*b*(b - 4)*(b - 1)
Let w be (-10360)/(-560)*40/370. Factor 4913/10 - 867/10*f - 1/10*f**3 + 51/10*f**w.
-(f - 17)**3/10
Let m(w) = 3*w**3 + 234*w**2 - 2065*w + 10. Let c be m(8). Factor -2/3*d**c - 2/9*d + 2/3 + 2/9*d**3.
2*(d - 3)*(d - 1)*(d + 1)/9
Factor -303/2*o**4 + 0 + 1/4*o**5 + 92415*o**2 + 90589/4*o**3 + 93025*o.
o*(o - 305)**2*(o + 2)**2/4
Let j(l) be the second derivative of l**6/30 + 37*l**5/10 + 71*l**4/3 + 140*l**3/3 - 957*l + 3. Suppose j(v) = 0. Calculate v.
-70, -2, 0
Let a(r) be the first derivative of 3/100*r**5 + 0*r**4 - 11 - 3/5*r**2 + r - 3/10*r**3. Let h(q) be the first derivative of a(q). Find x, given that h(x) = 0.
-1, 2
Let f = -7040168/5 + 1408040. Let 336/5*s**2 + 1176/5*s**3 + 0 + 1372/5*s**4 + f*s = 0. Calculate s.
-2/7, 0
Let t(m) be the third derivative of -m**9/