 be -1 + (a/(-20) - 2/(-10)). Suppose 66 + 11*m**2 + 32 - 9*m**o + 28*m = 0. What is m?
-7
Let v be (4/(-3))/(2838/(-4257)). Solve -8/13 + 0*l + 2/13*l**v = 0 for l.
-2, 2
Let a(m) be the second derivative of -m**5/60 - 97*m**4/36 + 149*m**3/9 - 100*m**2/3 - 2211*m. Factor a(n).
-(n - 2)*(n - 1)*(n + 100)/3
Factor 522*c**2 - 216 - 160*c - 140*c - 2308*c**3 + 2119*c**3 + 15*c**4.
3*(c - 9)*(c - 2)**2*(5*c + 2)
Let s be 5/(-3) + (1 - 299/(-39)). Let w(f) be the third derivative of -1/105*f**s + 0*f**5 - 1/3*f**4 + 0*f + 1/20*f**6 + 0*f**3 - 12*f**2 + 0. Factor w(d).
-2*d*(d - 2)**2*(d + 1)
Let g(d) = d**3 + 2*d**2 - 5*d + 3. Let z be g(0). Let v = 2255 - 2253. Factor 4/7 + 24/7*a**v + 10/7*a**z + 18/7*a.
2*(a + 1)**2*(5*a + 2)/7
Let o = -46/3481 - -17543/10443. Suppose -5/3*a**3 + o*a**2 + 20/3*a - 20/3 = 0. Calculate a.
-2, 1, 2
Factor 5/6*d**2 + 155/2*d + 890/3.
5*(d + 4)*(d + 89)/6
Suppose 5*v = 3*n - 61 + 37, 12 = n - 3*v. Let a(k) be the first derivative of 9/7*k - 6/7*k**2 - 2 + 1/7*k**n. Solve a(t) = 0 for t.
1, 3
Let b(h) = 9*h**4 - 6*h**2 - 3 - 7*h**4 + 6*h**3 - 5*h**4 - 2. Let n(u) = -u**4 + u**3 - u**2 - 1. Let j(y) = b(y) - 5*n(y). Factor j(l).
l**2*(l + 1)*(2*l - 1)
Factor 93*g - 46*g**2 - 140/3 - 1/3*g**3.
-(g - 1)**2*(g + 140)/3
Let b(l) be the third derivative of 0 + 0*l**4 + 1/240*l**6 - 3*l + 1/120*l**5 - 3*l**2 - 1/672*l**8 - 1/420*l**7 + 0*l**3. Factor b(p).
-p**2*(p - 1)*(p + 1)**2/2
Let v = -342093 - -1026280/3. Factor v*f**4 - 13/3*f + 13/3*f**3 + 0 - 1/3*f**2.
f*(f - 1)*(f + 1)*(f + 13)/3
Suppose -8*n - 21*n + 798 = 682. Determine o so that -24/7 + 2/7*o**n - 38/7*o**2 - 8*o - 4/7*o**3 = 0.
-2, -1, 6
Let o = 675 - 940. Let m be 421/15 - 159/o. Factor 112/3*h - 146/3*h**2 - 22/3*h**4 - 32/3 + m*h**3 + 2/3*h**5.
2*(h - 4)**2*(h - 1)**3/3
Let a(r) = 112569*r + 562845. Let j be a(-5). Determine c so that -4/7*c**3 + 4/7*c**4 + 0 + 0*c + j*c**2 = 0.
0, 1
Let o(f) be the first derivative of -f**5/110 - 7*f**4/66 - f**3/3 - 5*f**2/11 + 80*f + 49. Let a(g) be the first derivative of o(g). Let a(k) = 0. Calculate k.
-5, -1
Factor 5957*u**4 + 7*u**2 - 3*u - 3*u**3 - 11919*u**4 - u**5 + 3*u**5 + 5959*u**4.
u*(u - 1)**3*(2*u + 3)
Let u(k) be the third derivative of -k**5/12 - 35*k**4/12 + 60*k**3 - k**2 - k - 65. Factor u(r).
-5*(r - 4)*(r + 18)
Let y be -11 + -2 + 5 + 10. Let v(j) be the first derivative of 0*j**y + 4/5*j**5 + j**4 + 0*j**3 + 0*j - 15. Factor v(f).
4*f**3*(f + 1)
Let d(y) be the second derivative of 2*y - 1/75*y**6 - 5 - 1/10*y**5 + 1/3*y**3 + 0*y**2 + 1/30*y**4. Find q such that d(q) = 0.
-5, -1, 0, 1
Let f(v) be the first derivative of 5*v**4/4 - 320*v**3/3 + 625*v**2/2 - 310*v - 912. Factor f(d).
5*(d - 62)*(d - 1)**2
Find y such that 819/2*y + 1/2*y**3 - 1215/2 - 141/2*y**2 = 0.
3, 135
Factor 175/3*m + 5/3*m**4 + 0 - 175/3*m**3 - 5/3*m**2.
5*m*(m - 35)*(m - 1)*(m + 1)/3
Let k(b) = -2*b + 10. Let n be k(-11). Let d be (43/86)/(2/n). Solve -50/3*j**4 - 40*j**3 - 2/3 - 92/3*j**2 - d*j = 0.
-1, -1/5
Factor 174*p - 1098 + 3/2*p**2.
3*(p - 6)*(p + 122)/2
Determine k, given that -93/5*k**2 - 23/5*k + 0 - 4/5*k**3 = 0.
-23, -1/4, 0
Determine k, given that -1886 + 1503*k**2 + 3*k**4 - 6018*k - 6326 + 15148 - 120*k**3 = 0.
2, 4, 17
Let p = 16 - 67. Let g = 55 + p. Suppose o**2 + 2*o**4 - 3*o**g - 10*o**3 - 6*o**2 - 4*o**4 = 0. What is o?
-1, 0
Let v(q) = -5*q**4 - 22*q**3 + 196*q**2 - 412*q - 4. Let z(i) = 6*i**4 + 23*i**3 - 197*i**2 + 411*i + 5. Let w(m) = -5*v(m) - 4*z(m). Factor w(o).
o*(o - 4)**2*(o + 26)
Let s(g) be the first derivative of -14*g**5/55 - 75*g**4/22 + 4*g**3/3 + 1341. Factor s(m).
-2*m**2*(m + 11)*(7*m - 2)/11
Let q(d) = d**4 + 518*d**3 - 16766*d**2 + 60474*d - 58326. Let r(k) = k**4 - 7*k**3 - k**2 - k - 1. Let b(p) = q(p) - 6*r(p). Solve b(g) = 0.
2, 54
Let c(k) be the first derivative of -k**6/15 + 21*k**5/5 - 168*k - 184. Let d(v) be the first derivative of c(v). Factor d(r).
-2*r**3*(r - 42)
Let -36/5*z**2 - 594/5*z + 6/5*z**3 + 624/5 = 0. What is z?
-8, 1, 13
Let a be ((-9)/(-9))/((-3)/45). Let j be (-9)/a - ((-192)/(-20))/(-4). Factor -45*u**j - 4*u**5 - 4*u**4 - 46*u**3 + 99*u**3.
-4*u**3*(u - 1)*(u + 2)
Let b(s) be the first derivative of -s**3/6 + 89*s**2/8 + 69*s/2 - 3446. Factor b(z).
-(z - 46)*(2*z + 3)/4
Factor -99*k**4 + 12*k**3 + 656*k**2 + 297 - 177*k - 3*k**5 - 38*k**2 + 978*k + 6*k**3.
-3*(k - 3)*(k + 1)**3*(k + 33)
Suppose -5*y - 78 = -k - 192, y = -2*k + 14. Find w, given that -y*w - 2/7*w**3 - 32/7*w**2 - 28 = 0.
-7, -2
Factor 32*b + 1/3*b**2 + 1463/3.
(b + 19)*(b + 77)/3
Let y = 26673 - 18271002/685. Let v = 10939/4795 + y. What is p in -v - 48/7*p - 4/7*p**4 - 52/7*p**2 - 24/7*p**3 = 0?
-2, -1
Let d = -205 - -208. Let 4*m**d + 0*m**2 - 229*m**4 + 9*m**2 - m**2 + 225*m**4 = 0. What is m?
-1, 0, 2
Let z(b) = -3*b**2 - 45 - b**3 + 18*b**2 + 6*b - 3*b. Let k be z(15). Factor 0*s - 1/8*s**3 + 1/8*s**2 + k.
-s**2*(s - 1)/8
Let j = -258 - -260. Solve 4 - 4*h**j - 79 + 4*h**2 + 70*h + 5*h**2 + 0*h**2 = 0 for h.
-15, 1
Let y = -1 + 1. Let n be -3*-8*(-10)/120 - (-16 - -11). Factor 0 + 0*g - 28/3*g**n + 4/3*g**4 + y*g**2.
4*g**3*(g - 7)/3
Factor 24*i**3 + 0 + 0*i - 15/4*i**2.
3*i**2*(32*i - 5)/4
Let w(z) be the first derivative of z**4/4 + z**3/3 - z + 82. Let b(n) = -2*n**3 + 7*n**2 + 11*n - 1. Let f(v) = -b(v) + 3*w(v). Find x such that f(x) = 0.
-1, -1/5, 2
Let y be ((-9)/(-99) + 1270/550)*2*1. Let t be 4 - (-3 + (-36)/20). Factor 4/5*d**4 - 16/5*d**3 + 0 - t*d**2 - y*d.
4*d*(d - 6)*(d + 1)**2/5
Let k(b) = 5*b**2 + 2554*b - 3. Let g(y) = -15*y**2 - 7650*y + 10. Let d(r) = 3*g(r) + 10*k(r). Let d(h) = 0. What is h?
-518, 0
Factor 2/15*b**2 - 646/15*b + 0.
2*b*(b - 323)/15
Let n be (4 - 324/15)*-5. Let s be -4 - (2 + -2) - n/(-20). Factor -s*b**2 + 6/5*b - 4/5.
-2*(b - 2)*(b - 1)/5
Let h = 7/15 + 11/5. Suppose 3*u + 15 = -5*d, 17*d - 9 = -3*u + 16*d. Factor 3/2*g**4 - h*g**3 - g + 1/6 - 1/3*g**u + 7/3*g**2.
-(g - 1)**4*(2*g - 1)/6
Determine j, given that -1/6*j**5 - 2*j**3 - j**4 + 0 - 5/3*j**2 - 1/2*j = 0.
-3, -1, 0
Find k such that 37*k**2 - 21/4*k**5 - 785/4*k**4 - 73*k**3 + 0 + 0*k = 0.
-37, -2/3, 0, 2/7
Factor -16*i + 52*i - 2 + 4*i**5 - 809*i**3 + 16*i**4 + 801*i**3 + 2 - 48*i**2.
4*i*(i - 1)**2*(i + 3)**2
Let f = -27027 - -27027. Factor -2/7*n**5 + 0*n + f + 8/7*n**2 - 16/7*n**3 + 10/7*n**4.
-2*n**2*(n - 2)**2*(n - 1)/7
Factor 4/5*k**4 + 256/5*k**3 + 1056*k**2 + 27200 + 8960*k.
4*(k + 10)**3*(k + 34)/5
Let j(o) = -15 + 4*o**2 + 11*o**3 - o**3 - 6*o**2 + 16*o**2 - 16*o. Let i(n) = -5*n**3 - 7*n**2 + 8*n + 7. Let t(b) = -7*i(b) - 3*j(b). Factor t(y).
(y - 1)*(y + 2)*(5*y + 2)
Let g be (-6 + 156/30)/(4/(-30)). Suppose 232 = -2*w + g*w. Suppose 33*r**2 + 12 + w*r + 48*r**2 + 47*r**3 + 5*r**2 - 7*r**3 = 0. What is r?
-1, -3/4, -2/5
Suppose -3*c + 5*m + 1 = 0, -283*m + 1 = 2*c - 286*m. Find d, given that 1/3 + 16*d**c + 13/3*d + 12*d**3 = 0.
-1, -1/6
Factor -226*d + 1564 + 306 + 299*d + 868*d**2 + 1792*d - 873*d**2.
-5*(d - 374)*(d + 1)
Let n be (((-6)/30)/((-1)/588))/(-1). Let f = n + 118. Factor 0*k + 0 - 6/5*k**3 - f*k**4 + 8/5*k**2.
-2*k**2*(k - 1)*(k + 4)/5
Suppose 3*w = -12, -c + 3*c + 16 = -5*w. Let 3*s**2 - 326*s - 3*s**c + 151*s + 5*s**2 = 0. Calculate s.
0, 35
Factor -1/5*x**4 + 0*x + 0*x**2 + 166/5*x**3 + 0.
-x**3*(x - 166)/5
What is l in -16240*l**3 + 0 + 803/2*l**4 + 0*l - 5/2*l**5 + 9600*l**2 = 0?
0, 3/5, 80
Let r = -59 - -109. Factor r*z - 2*z**2 - 34 - 106 + 192.
-2*(z - 26)*(z + 1)
What is q in 570*q**2 - 52*q**5 + 230*q - 6893*q**3 + 82*q**5 + 7473*q**3 + 25 - 39*q**4 + 284*q**4 = 0?
-5, -1, -1/6
Let i(k) = 12*k**2 - 48*k - 54. Let f(w) be the second derivative of w**4/12 - w**3/6 - 3*w + 7. Let d(s) = -15*f(s) + i(s). Let d(x) = 0. Calculate x.
-9, -2
Factor -303 + 19 + 49*u**2 + 310*u + 235*u**2 - 306*u - 4*u**3.
-4*(u - 71)*(u - 1)*(u + 1)
Let v = 8803 - 8801. Factor 19/2*z + 361/4 + 1/4*z**v.
(z + 19)**2/4
Let z(g) be the third derivative of g**8/56 + 57*g**7/70 - 151*g**6/40 + 123*g**5/20 - 31*g**4/8 + 473*g**2. Find q such that z(q) = 0.
-31, 0, 1/2, 1
Let l(c) be the first derivative of -c**4/30 - 8*c**3/15 - 7*c**2/3 - 16*c/5 + 1317. Factor l(n).
-2*(n + 1)*(n + 3)*(n + 8)/15
Let k(n) = n - 9. Let o be k(13). Suppose o*t - 10 = 2. Factor 4*m - m**3 + 0*m**