 x be 3676/(-21137)*92/(-14). Factor -8*k**2 - 116/7*k - x.
-4*(k + 2)*(14*k + 1)/7
Let s = -31 + 37. Let z = -8 - -10. Factor 4*j**4 + 2*j**5 + 2*j**5 - s*j**3 - 10*j**2 + 6*j**2 + z*j**3.
4*j**2*(j - 1)*(j + 1)**2
Let v = -6563772/7 + 937682. Let -32/7 - 32/7*c + 2/7*c**3 + v*c**2 = 0. Calculate c.
-4, -1, 4
Let g(n) = 5*n**2 - 50*n + 130. Let b(k) = -5 + 5 - 1 + 2. Let s(v) = 5*b(v) - g(v). Factor s(q).
-5*(q - 5)**2
Let l(t) be the third derivative of 3/100*t**5 + 85*t**2 + 0*t**3 + 1/200*t**6 + 1/20*t**4 + 0 + 0*t. Solve l(f) = 0.
-2, -1, 0
Suppose 16 = 641*f - 11 + 27. Factor 0*b + f*b**2 + 0 + 3*b**3 - 8/3*b**4 - 1/3*b**5.
-b**3*(b - 1)*(b + 9)/3
Let d = -340 - -445. Let x be (25/d)/((-9)/(-324)*6). Factor 2/7*r**4 - 6/7*r**3 + 0 + 2/7*r**5 - x*r**2 - 4/7*r.
2*r*(r - 2)*(r + 1)**3/7
Let m = 1226678/657165 - -2/43811. Let v(i) be the second derivative of -1/6*i**4 + 3*i + m*i**3 + 12/5*i**2 + 0. Factor v(o).
-2*(o - 6)*(5*o + 2)/5
Let c be (((-72)/(-3))/(-3) - 2541/(-315))*5. Let y(u) be the third derivative of 0 + 0*u - u**2 - c*u**3 + 1/12*u**4 - 1/120*u**5. Let y(z) = 0. Calculate z.
2
Factor 108 - 7*y**3 - 1109*y**2 + 0*y**3 - 71*y + 1006*y**2 - 277*y.
-(y + 6)*(y + 9)*(7*y - 2)
Let b(s) = s**2 - 18*s + 54. Let i be b(9). Let v be (i/18 - -2)*(-6)/(-9). Find d such that -1/9*d**4 + v*d**2 + 0 + 0*d - 2/9*d**3 = 0.
-3, 0, 1
Let o = 8/1139 + 4500/7973. Let p(j) be the second derivative of o*j**2 + 14*j + 1/21*j**4 - 2/7*j**3 + 0. Determine b, given that p(b) = 0.
1, 2
Suppose -2*u - 20 = -4*n - 16, 5*u = 20. Let t be (-15*4/(-140))/n. Factor t*q**3 + 36/7*q + 0 - 12/7*q**2.
q*(q - 6)**2/7
Suppose -21*r = -25*r + 8. Let -18*q**4 + 202*q**3 - 3*q**5 - 451*q**3 - 18*q**r + 216*q**3 = 0. What is q?
-3, -2, -1, 0
Let q be (-96)/(-140) + (-20)/50. Let o(v) be the second derivative of 19*v + 0*v**2 + 0 + q*v**3 - 1/21*v**4. Factor o(t).
-4*t*(t - 3)/7
Let u(t) be the third derivative of -t**7/560 + 121*t**6/320 + 75*t**5/16 + 379*t**4/16 + 127*t**3/2 - 23*t**2 + 5*t. Factor u(i).
-3*(i - 127)*(i + 2)**3/8
Let l = 516211/3 + -172063. Suppose 94/9*p + 2/9*p**3 + 10/3*p**2 + l = 0. Calculate p.
-11, -3, -1
Let z(p) be the third derivative of p**7/1470 - 11*p**6/168 + 53*p**5/210 + 1377*p**2. Factor z(w).
w**2*(w - 53)*(w - 2)/7
Let i be (1 - -1) + 0 - (-7 + 14). Let a be (16/i)/((-432)/360). Factor -50/3*o**2 - 7*o**3 - 4*o + a.
-(o + 2)*(3*o + 2)*(7*o - 2)/3
Suppose 71 - 11 = 4*q. Let d(i) = -i**3 + 15*i**2 + 2*i - 28. Let r be d(q). Determine z so that 7*z**2 + 2 - 9 + 12*z - r - 10*z**2 = 0.
1, 3
Let w(f) = -f + 5. Let z(l) = 3*l**2 + 464*l + 839. Let r(n) = -11*w(n) - z(n). Factor r(k).
-3*(k + 2)*(k + 149)
Let d = 252 - 264. Let q be 0/d*2/(-10). Let 0 + 0*p**2 - 2/13*p**3 + q*p = 0. Calculate p.
0
Let v(z) be the third derivative of -z**8/112 - 18*z**7/35 - 33*z**6/10 - 32*z**5/5 + 1793*z**2. Factor v(u).
-3*u**2*(u + 2)**2*(u + 32)
Let h be ((-28)/(-6))/(2002/1716). Let m(d) be the first derivative of 1/3*d**3 + 1/4*d**h + 8 + 0*d - d**2. Factor m(s).
s*(s - 1)*(s + 2)
Suppose -4*v - 8 = -2*k + 7*k, -2*v = 3*k + 6. Factor -2574*u - 467*u**v - 4718*u**2 - 1521 - 1291*u**3 - u**5 - 2067*u - 80*u**2 - 81*u**4.
-(u + 1)**3*(u + 39)**2
Let w(y) be the third derivative of -y**6/660 + 13*y**5/165 - 19*y**4/132 - 50*y**3/11 + 69*y**2 - 10*y + 1. What is l in w(l) = 0?
-2, 3, 25
Let 474*o**2 - 963*o**2 + 481*o**2 + 226*o**3 = 0. Calculate o.
0, 4/113
Let c = -240 + 242. Factor -2 + 8*x**2 + 135*x**4 - 2*x**3 - 140*x**4 - x**5 + c.
-x**2*(x - 1)*(x + 2)*(x + 4)
Suppose 176/7 + 2/7*a**2 - 178/7*a = 0. What is a?
1, 88
Let i be ((-45)/(-60))/(((-18)/200)/(-3)). Determine g so that -i*g**2 + 4*g + 74*g + 52*g**2 - 12*g - 25*g**2 - 68 = 0.
-34, 1
Let n(x) = -x**4 + 10*x**2 - 4*x + 3. Let b(p) = 2*p**2 - p + 1. Let j be 793/65 + (3/5)/(-3). Let a(l) = j*b(l) - 3*n(l). Find g such that a(g) = 0.
-1, 1
Let d = -6 + 8. Suppose d*m - 9*m + 14 = 0. Determine u, given that 0 + 3*u**2 + m - 5 = 0.
-1, 1
Let d(a) be the third derivative of -a**8/504 + a**7/35 - 17*a**6/180 - a**5/10 + a**4/2 - 145*a**2 + 12*a. Determine c, given that d(c) = 0.
-1, 0, 1, 3, 6
Suppose 7*i = 15*i + 8*i. Let d(f) be the second derivative of 0*f**3 - 5/12*f**4 + 0*f**5 + f + 0 + 1/6*f**6 + i*f**2. Factor d(q).
5*q**2*(q - 1)*(q + 1)
Suppose 2*h + 20*h - 43110 - 26718 = 0. Suppose -2*v + i = -124 - 73, -2*i = 6. Factor h*o**3 - 1329*o**3 + 405*o**4 + v*o + 3*o - 880*o**2.
5*o*(o + 5)*(9*o - 2)**2
Let d(w) be the second derivative of w**6/165 - 26*w**5/55 + 160*w**4/11 - 7168*w**3/33 + 16384*w**2/11 - w + 911. Determine c, given that d(c) = 0.
4, 16
Let x(c) be the first derivative of c**8/3360 + c**7/560 - c**6/72 + c**3 - 5*c - 20. Let t(r) be the third derivative of x(r). Solve t(w) = 0 for w.
-5, 0, 2
Let l be (-9 - -7)/(70/(-3810)). Suppose 6 = -h + 11. Solve -21*w**h + 24/7 - 1083/7*w**3 - 228/7*w + l*w**2 + 96*w**4 = 0 for w.
2/7, 1, 2
Let p(g) be the first derivative of g**6/6 + 3*g**5/5 - 53*g**4/4 + 11*g**3 + 116*g**2 + 144*g - 10084. Suppose p(a) = 0. Calculate a.
-9, -1, 4
Let u(q) be the first derivative of q**4/12 + 68*q**3/3 + 333*q**2/2 + 796*q/3 + 7354. Factor u(g).
(g + 1)*(g + 4)*(g + 199)/3
Let c(d) be the third derivative of 1408694561*d**6/75 + 3769923*d**5/25 + 10089*d**4/20 + 9*d**3/10 + d**2 + 148*d + 5. Factor c(s).
(2242*s + 3)**3/5
Let k(g) = g**3 - 762*g**2 - 34585*g + 72170. Let f(c) = 2*c**3 - 764*c**2 - 34586*c + 72164. Let q(i) = 5*f(i) - 6*k(i). Solve q(b) = 0.
-95, 2
Let z(p) be the second derivative of p**5/75 - p**4/10 - 8*p**3/15 - 21*p**2/2 - 57*p. Let l(k) be the first derivative of z(k). Factor l(o).
4*(o - 4)*(o + 1)/5
Factor 422/3*o + 0 - 634/3*o**2 + 425/6*o**3 - 1/6*o**4.
-o*(o - 422)*(o - 2)*(o - 1)/6
Let z(p) be the first derivative of p**3/7 - 90*p**2/7 - 183*p/7 + 1760. Suppose z(v) = 0. What is v?
-1, 61
Let 431*l**2 - 7/4*l**3 + 0 - 123*l = 0. What is l?
0, 2/7, 246
Let c be ((-18)/45*-70)/(-6)*1/(-7). Let -8/3*t - c*t**2 + 8 = 0. What is t?
-6, 2
Let h(a) be the second derivative of a**5/10 - 82*a**4 + 26896*a**3 - 4410944*a**2 - 290*a. Suppose h(x) = 0. What is x?
164
Let c(n) be the second derivative of 0 - 1/27*n**4 - 5/54*n**3 - 1/18*n**2 + 71*n. Factor c(w).
-(w + 1)*(4*w + 1)/9
Let v = -86 + 432/5. Let h be (-4)/(-28) - (-1350)/350. Factor -6/5*w**3 + v*w**h + 0 + 6/5*w**2 - 2/5*w.
2*w*(w - 1)**3/5
Let w(s) be the first derivative of 28 - 10/11*s - 1/33*s**3 + 7/22*s**2. Suppose w(b) = 0. What is b?
2, 5
Let 6 + 8*n - 5/2*n**2 - 1/2*n**5 - 15/2*n**3 - 7/2*n**4 = 0. Calculate n.
-3, -2, -1, 1
Let q(m) be the first derivative of -5*m**6/6 - 75*m**5 - 5025*m**4/2 - 117950*m**3/3 - 628425*m**2/2 - 1250235*m - 2982. Determine s so that q(s) = 0.
-27, -7
Let v(d) be the third derivative of d**6/40 + 13*d**5/20 + 47*d**4/8 + 35*d**3/2 - 2434*d**2. Factor v(h).
3*(h + 1)*(h + 5)*(h + 7)
Suppose 0 = 5*q + 37 + 23. Let l be (q/27)/(4/(-18)). Determine i, given that -25*i + 5*i**2 - 10*i**2 - 12*i**2 + 5*i**3 - 3*i**l = 0.
-1, 0, 5
Let j(x) be the first derivative of x**3/3 + 6*x**2 + 23*x + 17. Let u be j(-10). Factor -3*o + 4*o**3 - 3*o**4 - u*o**3 - 3*o**2 + 2*o**3 + 6*o**2.
-3*o*(o - 1)**2*(o + 1)
Let n = -74 + 76. Solve -261 - n*r**2 + 127 + 134 = 0.
0
Let c(v) be the second derivative of 26*v + 0 - 322*v**3 - 1/5*v**5 - 1058*v**2 + 15*v**4. Factor c(b).
-4*(b - 23)**2*(b + 1)
Factor -1117249/4 - 1057/2*r - 1/4*r**2.
-(r + 1057)**2/4
Let c(z) be the second derivative of -z**6/135 + 107*z**5/90 - 139*z**4/18 + 517*z**3/27 - 206*z**2/9 - 3*z - 239. Determine r, given that c(r) = 0.
1, 2, 103
Suppose -19*l + 113*l - 282 = 0. Let b(z) be the second derivative of -1/3*z**4 - 4*z**2 + 0 + 2*z**l - 27*z. Determine y, given that b(y) = 0.
1, 2
Let r(o) = -8*o**2 + 273*o + 3480. Let x be r(44). Find u such that -20/3*u**2 - 7/3*u**x + 8/3*u + 6*u**3 + 0 + 1/3*u**5 = 0.
0, 1, 2
Let s(x) be the second derivative of -x**5/5 - 41*x**4/3 - 220*x**3/3 + 304*x**2 - 1236*x. Factor s(i).
-4*(i - 1)*(i + 4)*(i + 38)
Let r(w) be the third derivative of w**5/150 + 57*w**4/10 - 343*w**3/15 - 228*w**2 + 4. Factor r(j).
2*(j - 1)*(j + 343)/5
Factor -2/19*r**2 + 302/19*r + 0.
-2*r*(r - 151)/19
Let v(r) = -8*r**4 + 290*r**3 + 274*r**2 - 6*r. Let z(l) = -