 + 10*q = -5832. Let i = q + 4545/7. Suppose 0 - i*h - 12/7*h**4 - 33/7*h**3 - 30/7*h**2 = 0. What is h?
-1, -3/4, 0
Let m(v) = -6*v**3 + 889*v**2 + 3643*v + 3682. Let g(j) = -3*j**3 + 445*j**2 + 1822*j + 1840. Let s(a) = -5*g(a) + 2*m(a). Factor s(y).
3*(y - 153)*(y + 2)**2
Let r = -35233 + 35236. Find j, given that -2000/11 + 540/11*j**2 + 2/11*j**4 - 1400/11*j - 58/11*j**r = 0.
-1, 10
Let r be (-12)/18*((-3149)/(-2) + -1). Let f = r + 13639/13. Factor f*s - 4/13 + 2/13*s**2.
2*(s - 1)*(s + 2)/13
Let s(c) be the first derivative of -2*c**6/21 - 4*c**5/35 + 2*c**4/7 + 8*c**3/21 - 2*c**2/7 - 4*c/7 + 762. Solve s(k) = 0 for k.
-1, 1
Let p = 684412/5 - 136880. Determine g, given that p - 8*g + 48/5*g**2 - 24/5*g**3 + 4/5*g**4 = 0.
1, 3
Let u = 106 - 103. Let z be -12*(39/(-6) + 1). Factor 57*q - 114*q + z*q - u*q**2.
-3*q*(q - 3)
Let t(k) be the first derivative of -2/3*k**3 - 42 + 6*k - 5/2*k**2 + 1/4*k**4. Factor t(z).
(z - 3)*(z - 1)*(z + 2)
Let x(v) = 4*v**3 + 3*v**2 + 2*v - 1. Let d(w) = -5*w**3 - 101*w**2 + 198*w + 1. Let r(j) = 2*d(j) + 2*x(j). Let r(s) = 0. Calculate s.
-100, 0, 2
Let r(c) be the first derivative of c**3/3 + 63*c**2/2 + 65*c - 372. Let l be r(-62). Factor 2/15*m**l - 2/5*m**2 + 4/15*m + 0.
2*m*(m - 2)*(m - 1)/15
Let g(q) = 8*q**2 + 7*q - 16. Let b be g(2). Solve 17*d**2 - 3*d**3 - 76*d + 7*d**2 + 25*d + b = 0.
1, 2, 5
Let l = 7330 - 7328. Suppose -2*x - 3*f = -3 + 10, -3*f - 23 = -2*x. Suppose 0*k - 4/23*k**l + 22/23*k**x - 10/23*k**3 + 0 + 28/23*k**5 = 0. What is k?
-1, -2/7, 0, 1/2
Let z(f) = 120*f + 11640. Let q be z(-97). Find m, given that q - m - 1/7*m**2 = 0.
-7, 0
Let t(k) = 3*k**3 + 867*k**2 + 63084*k - 63954. Let x(r) = r**2 - 2*r + 1. Let a(n) = -t(n) - 6*x(n). Find p, given that a(p) = 0.
-146, 1
Let n be (-180)/(-96) + (-3)/(-24). Factor 106*h**2 - 312*h**n - 12*h**3 + 106*h**2 - 4*h**4 + 108*h**2 + 48*h + 32.
-4*(h - 2)*(h + 1)*(h + 2)**2
Let x(w) be the first derivative of -w**6/3600 - 11*w**5/400 - 2*w**4/15 + w**3/3 - 16*w**2 - 225. Let d(i) be the third derivative of x(i). Factor d(r).
-(r + 1)*(r + 32)/10
Factor 184*s - 4637 - 816 - 2*s**2 + 1221.
-2*(s - 46)**2
Factor -36*d**2 - 864*d + 3/4*d**4 + 12*d**3 + 0.
3*d*(d - 8)*(d + 12)**2/4
Solve 11*v**3 - 6391*v**2 + 6389*v**2 - 2*v**5 + 2*v**4 - 12*v + 3*v**3 = 0.
-2, -1, 0, 1, 3
Let g = -5825 - -5828. Let k(s) be the second derivative of 7*s + s**2 + 1/60*s**5 + 0 - 11/18*s**g + 1/9*s**4. Factor k(d).
(d - 1)**2*(d + 6)/3
Let n = -131 + 134. Factor -81*r**2 + 27*r**n - 2*r + 11*r**5 - 78*r**2 - 31*r**4 + 154*r**2.
r*(r - 1)**3*(11*r + 2)
Let a(l) be the first derivative of 8/3*l**2 - 50 + 2/3*l**3 - 2*l. Factor a(m).
2*(m + 3)*(3*m - 1)/3
Let q(f) be the first derivative of 5*f**4 - 36*f**3 + 24*f**2 + 176*f + 970. What is s in q(s) = 0?
-1, 2, 22/5
Let k = 95735 - 95693. Solve 294 - k*r + 3/2*r**2 = 0 for r.
14
Let k(n) = 3*n**4 + 24*n**3 + 63*n**2 + 36*n - 6. Let f(d) = 25*d**4 + 194*d**3 + 509*d**2 + 289*d - 51. Let h(i) = -6*f(i) + 51*k(i). Factor h(m).
3*m*(m + 1)*(m + 2)*(m + 17)
Let k = -20 + 23. Let y = 22801 - 22801. Determine f, given that 0 + y*f**2 - 1/2*f**k + 1/2*f = 0.
-1, 0, 1
Let f(c) be the first derivative of c**5/220 + c**4/132 - 36*c - 49. Let p(i) be the first derivative of f(i). Factor p(n).
n**2*(n + 1)/11
Find n, given that 0*n**5 + 184*n**3 + 33*n**2 + 22*n**4 - 325*n**3 + 199*n**3 - 2*n**5 - 111*n**2 = 0.
-3, 0, 1, 13
Suppose 0 = -g, -4*g - 114 = -o - 9. Let h be (3/(-7))/((-15)/o). Find a such that 0*a**h + 1/3*a**5 + 0 + 2/3*a**2 - 1/3*a - 2/3*a**4 = 0.
-1, 0, 1
Let r(l) be the second derivative of l**6/10 - 3*l**5/2 + 29*l**4/4 - 10*l**3 - 33*l + 17. Factor r(w).
3*w*(w - 5)*(w - 4)*(w - 1)
Let t be 98/(-11) - (-10240)/1024. Solve -2/11*u**4 + 0 + 10/11*u**3 + 0*u - t*u**2 = 0.
0, 2, 3
Let p(h) be the third derivative of -55*h**2 + 5/96*h**4 - 1/480*h**6 + 1/60*h**5 + 0 + 0*h**3 + 0*h. Let p(j) = 0. What is j?
-1, 0, 5
Let v = 172 + -38. Let w = v + -132. Solve 22 + 240*r**3 + 11 + 32*r**4 + 386*r**2 - w + 1 - 240*r = 0 for r.
-4, 1/4
Suppose -3*p - 6 = 3*l, 6*l + 16 = 2*p + 3*l. Determine x, given that -225*x**4 + 113*x**4 + 113*x**4 - 4*x**p = 0.
-2, 0, 2
Let f = 9367 - 9362. Let y(l) be the first derivative of 3/25*l**f - 3/5*l**3 - 40 + 6/5*l + 3/10*l**2 - 3/20*l**4. Factor y(m).
3*(m - 2)*(m - 1)*(m + 1)**2/5
Let a = 29203/20 + -1460. Let t(s) be the second derivative of 17*s + 0 + 3/2*s**4 + a*s**5 + 12*s**2 + 6*s**3. Find n such that t(n) = 0.
-2
Let z(g) be the first derivative of -g**4/36 + g**3/2 - 4*g**2/3 + 105*g - 13. Let v(p) be the first derivative of z(p). Suppose v(u) = 0. What is u?
1, 8
Let s(z) = -21*z**2 - 22554*z - 25425127. Let m(a) = 50*a**2 + 45110*a + 50850255. Let n(c) = 2*m(c) + 5*s(c). Suppose n(q) = 0. Calculate q.
-2255
Let k(o) = -47*o - 235. Let d be k(-5). Let b(v) be the second derivative of -1/6*v**3 + 3/5*v**2 + d - 1/60*v**4 - 27*v. Factor b(c).
-(c - 1)*(c + 6)/5
Determine f so that -800*f**3 + 178*f**2 - 3*f**4 - 2*f**4 + 627*f**2 = 0.
-161, 0, 1
Let f(j) be the third derivative of -j**5/30 + 2219*j**4/12 + 740*j**3 - 16*j**2 - 8. Factor f(a).
-2*(a - 2220)*(a + 1)
Let c be 0*(-2 + 3/1). Let r be (21 + (-11425)/550)/((-46)/(-11) + -4). Factor k**2 + 1/4*k**5 + 2*k**3 + c + 0*k + r*k**4.
k**2*(k + 1)*(k + 2)**2/4
Let v(r) be the first derivative of -3*r**5/5 - 45*r**4/4 - 22*r**3 + 90*r**2 + 312*r + 2035. Find i such that v(i) = 0.
-13, -2, 2
Let z(v) be the second derivative of -v**4/102 + 1370*v**3/51 - 469225*v**2/17 + 106*v - 3. Factor z(n).
-2*(n - 685)**2/17
Suppose -21*x + 12*x + 126 = 0. Suppose x + 3 = i. Factor -16*q + 5 - i + 0 - 4*q**2.
-4*(q + 1)*(q + 3)
Let t(u) be the third derivative of -8/15*u**4 - 2*u**2 - 52 - 2/525*u**7 + 2/75*u**6 + 32/15*u**3 + 0*u**5 + 0*u. Factor t(p).
-4*(p - 2)**3*(p + 2)/5
Find w, given that 17232*w**2 + w**4 - 17231*w**2 + 24*w**3 - 24*w - 2*w**4 = 0.
-1, 0, 1, 24
Let q = 117482 + -117479. Factor 1/3*l**4 + 0*l**2 - 11/3*l**q + 0 + 0*l.
l**3*(l - 11)/3
Let q = -24703 - -24706. Suppose -l**5 + 4/5*l**2 + 2*l**q - 2/5*l**4 - l - 2/5 = 0. What is l?
-1, -2/5, 1
Let g(m) be the first derivative of 3*m**5 - 36*m**4 + 60*m**3 + 48*m**2 + 6021. Factor g(a).
3*a*(a - 8)*(a - 2)*(5*a + 2)
Suppose 0 = 63*q - 82*q - 1102. Let t be q/348 - 221/(-30). Solve -t*c**3 - 6/5*c**5 + 3/5*c**2 + 0 - 33/5*c**4 + 12/5*c = 0.
-4, -1, 0, 1/2
Find g such that -256*g + g**4 + 0 - 257/4*g**3 + 1040*g**2 = 0.
0, 1/4, 32
Let h(m) be the second derivative of m**6/255 - 28*m**5/85 - 29*m**4/51 + 56*m**3/51 + 57*m**2/17 - 3327*m. Determine f so that h(f) = 0.
-1, 1, 57
Let x be 8925/1428 - ((-6)/21 + (-37)/(-7)). Let z(s) be the first derivative of -5/2*s**2 - 7 - x*s**4 + 10/3*s**3 + 0*s. Factor z(f).
-5*f*(f - 1)**2
Let q be -10 + 5 - 4 - -14. Suppose -6 = -3*p + q*s - 6*s, p - s - 2 = 0. Suppose 0 + 1/2*f**3 + 7/2*f - 4*f**p = 0. Calculate f.
0, 1, 7
Suppose -31*p - 374 = -42*p. Factor 12*j + p*j**3 + 35*j**3 - 1649*j**4 + 60*j**2 + 1670*j**4.
3*j*(j + 1)*(j + 2)*(7*j + 2)
Let t(j) = 4*j**3 + 20*j**2 + 189*j + 240. Let r(g) = 9*g**3 + 38*g**2 + 377*g + 464. Let p(o) = -6*r(o) + 14*t(o). Determine x so that p(x) = 0.
-12, -2
Let k(x) be the second derivative of -x**6/195 - x**5/130 + x**4/39 + 1760*x. Factor k(z).
-2*z**2*(z - 1)*(z + 2)/13
Let i(k) be the first derivative of k**3/15 - 17*k**2/10 + 66*k/5 + 4751. Suppose i(j) = 0. Calculate j.
6, 11
Let h(b) = -b**2 + 22*b + 230. Let x be h(-8). Let m be -1 + (5/(-9))/(x/24). Factor 1/6*c**3 + 1/2*c**2 + 0 + m*c.
c*(c + 1)*(c + 2)/6
Let b = -252 - -117. Let z = b + 138. Solve -12*p + 5*p**z - p**3 - 83 + 75 = 0 for p.
-1, 2
Let k be (-21 - (-1078)/88)/(1/36). Let r be 1/3 + (-795)/k. Solve 4/7*w**5 + 0 - r*w**3 + 0*w**2 + 0*w**4 + 16/7*w = 0 for w.
-2, -1, 0, 1, 2
Let o = -597/220 - -163/55. Let h(d) be the second derivative of -16*d + o*d**3 + 1/20*d**5 + 0 - 1/8*d**2 - 3/16*d**4. Factor h(a).
(a - 1)**2*(4*a - 1)/4
Suppose 0 = -26*p + 6*p + 5*p + 5*p + 20. Factor -32/5*s**p - 26/5*s - 4/5 - 2*s**3.
-2*(s + 1)*(s + 2)*(5*s + 1)/5
Suppose 3*h - 15*h = -108. Factor -27*y**2 + 40*y - 1 + 3*y**2 + h*y**3 - 5 - 19*y.
3*(y - 1)**2*(3*y - 2)
Let n(c) be the first derivative of -2*c**6/15 + 39*c**5/25 - 49*c**4/10 + 3*c**3