e of m(n). Factor i(q).
-2*q**3*(q - 6)/19
Find v such that -108*v - 100*v + 8571*v**3 - 8569*v**3 - 4*v**2 + 14*v**2 = 0.
-13, 0, 8
Let o(b) = 2*b**3 + 414*b**2 - 410*b - 6. Let s(d) = -3*d**3 - 411*d**2 + 410*d + 4. Let c(g) = 2*o(g) + 3*s(g). Factor c(w).
-5*w*(w - 1)*(w + 82)
Solve -884*s + 230 - 623*s + 814*s**2 + 470*s - 7*s**3 = 0.
2/7, 1, 115
Let q(s) be the third derivative of -s**5/240 - 10*s**4 - 9600*s**3 + 143*s**2. Factor q(c).
-(c + 480)**2/4
Let u = 507/55 + -1823/198. Let b(c) be the third derivative of -3*c**2 - 64/9*c**3 + 3 - 4/9*c**4 - u*c**5 + 0*c. Factor b(a).
-2*(a + 8)**2/3
Let y be -3 + 1/((-4)/(-24)). Suppose -4*f + 5*b - 8 - 5 = 0, y*f - 4 = b. Suppose -1026*d**3 + 1026*d**3 + f*d**5 = 0. What is d?
0
Suppose -5*i = 5*g - 25, g + 3*g - 18 = -3*i. Let x be 15*(-4)/(-6) + (8 - -118)/(-18). Find o, given that -21 + 22 - 17 + 34*o + i*o**x - 20*o**2 = 0.
1, 8
Let l(q) be the first derivative of 2*q**3/33 - 9*q**2/11 - 4*q + 1907. Solve l(s) = 0 for s.
-2, 11
Let y(z) be the third derivative of z**8/720 - z**7/210 - z**6/180 - z**5/15 - z**4/8 - 22*z**2 - z. Let m(u) be the third derivative of y(u). Factor m(p).
4*(p - 1)*(7*p + 1)
Determine c, given that 1/6*c**2 + 41/6*c - 56 = 0.
-48, 7
Factor -135 + 4*n**4 - 129*n**3 + 8*n**4 - 80*n - 105*n + 435*n**2 - 238*n.
3*(n - 5)*(n - 3)**2*(4*n + 1)
Let s = -539 - -536. Let k(v) = -188*v**3 - 488*v**2 + 20*v + 26. Let m(o) = 62*o**3 + 163*o**2 - 7*o - 9. Let u(z) = s*k(z) - 10*m(z). Factor u(w).
-2*(w + 3)*(4*w + 1)*(7*w - 2)
Let j(n) be the third derivative of n**9/5040 + n**8/2240 - n**4/8 + 71*n**2. Let b(w) be the second derivative of j(w). Factor b(u).
3*u**3*(u + 1)
Suppose 48*q - 87 = 9. Let x = -881/5 + 177. Suppose 6/5*l**2 + x + q*l = 0. What is l?
-1, -2/3
Determine q so that 50*q**2 - 21196*q**3 - 66*q - 39*q + 21191*q**3 = 0.
0, 3, 7
Factor -1/7*c**4 + 2*c**2 + 0 + 1/7*c**3 - 24/7*c.
-c*(c - 3)*(c - 2)*(c + 4)/7
Factor -675*l + 1105 - 165 + 78*l**2 - l**3 + 950 - 2*l**3 + 54.
-3*(l - 9)**2*(l - 8)
Let k(u) be the first derivative of 121*u**5/120 - 11*u**4/18 + u**3/9 - 22*u + 78. Let p(l) be the first derivative of k(l). Find o such that p(o) = 0.
0, 2/11
Let f(r) be the first derivative of r**4/8 + 53*r**3/6 - 109*r**2/4 + 55*r/2 - 3149. Find d, given that f(d) = 0.
-55, 1
Factor -3*z**4 + 463*z**2 + 29*z**4 + 5*z**3 - 433*z**2 - 2*z**5 + 53*z**3.
-2*z**2*(z - 15)*(z + 1)**2
Find t such that -85 - 84 - 4*t**2 + 12*t + 284 - 99 = 0.
-1, 4
Suppose 5*i + 461 - 471 = 0. Factor 59 - 27*y**i - 33 + 46 + 5*y**2 - 2*y**3 - 48*y.
-2*(y - 1)*(y + 6)**2
Let o = -2456116/7 + 353009. Let y = o + -2135. Find v such that 242/7 + y*v**2 - 44/7*v = 0.
11
Let q(u) be the first derivative of -63 + 10*u**2 + 425/18*u**3 - 10/3*u. Factor q(y).
5*(5*y + 2)*(17*y - 2)/6
Suppose 57 - 79 = -11*i. Let c be 0 + 6/(-1 + 4). Suppose 23*d**c - 21*d**i + 20*d - 14*d + 4 = 0. Calculate d.
-2, -1
Let w(j) be the first derivative of j**4/14 - 2*j**3/7 - 81*j**2/7 - 22*j + 2. Factor w(m).
2*(m - 11)*(m + 1)*(m + 7)/7
Factor h**4 - 2091*h**3 + 1009*h**3 + 1051*h**3.
h**3*(h - 31)
Let n be 8/14 + (-7616)/(-49). Suppose 25*m - 147*m**5 - 10*m + n*m**3 + 24*m**2 - 15*m + 210*m**4 = 0. What is m?
-2/7, 0, 2
Factor -814/15*y + 2/15*y**2 + 812/15.
2*(y - 406)*(y - 1)/15
Let m(z) = z**3 - 18*z**2 + 36*z + 17. Let o be m(16). Let -258*c**2 + 247*c**3 + 32*c**3 + 24 + c - 37*c - o*c**4 + 72*c = 0. Calculate c.
-2/9, 2/3, 1, 2
Suppose -5*w = -4*j - 0*j, -4*j = -20. Factor 0*t**3 + 14019 - 14261 + w*t**3 + 528*t - 90*t**2.
2*(t - 11)**2*(2*t - 1)
Let d(w) be the first derivative of -2*w**3/9 + 10*w**2/3 + 238*w/3 + 545. Factor d(j).
-2*(j - 17)*(j + 7)/3
Suppose 273*r - 538 - 292 = 262. Let s(k) be the second derivative of 0 + 2/57*k**r + 2/19*k**2 + 3/19*k**3 - 3*k. Factor s(z).
2*(z + 2)*(4*z + 1)/19
Suppose 5*t - 8 - 2 = 0. Let y be ((-1)/(-6)*12/(-42))/(474/(-12798)). Suppose 9/7*i + 3/7*i**3 + y*i**t + 3/7 = 0. What is i?
-1
Let s(n) be the first derivative of 10/27*n**3 - 28 - 16/9*n + 13/3*n**2. Factor s(y).
2*(y + 8)*(5*y - 1)/9
Let j(s) be the first derivative of -s**6/9 + 568*s**5/5 - 91586*s**4/3 + 481664*s**3/3 - 719104*s**2/3 - 3992. Find x, given that j(x) = 0.
0, 2, 424
Let p be (-1896)/(-18) + 6/9. Let j = p - 950/9. Factor 2/9*y**4 + j*y**3 - 4/9*y - 2/9 + 0*y**2.
2*(y - 1)*(y + 1)**3/9
Solve -1965*v - 5/2*v**2 - 772245/2 = 0.
-393
Let q be (-102)/153 + ((-1)/3)/(2/(-16)). Factor 8 - 4*h**q + 28/3*h.
-4*(h - 3)*(3*h + 2)/3
What is p in 18/11*p**2 + 10848/11*p + 1634432/11 = 0?
-904/3
Let u(d) be the first derivative of -39/10*d**2 + 1/20*d**4 - 160 + 2/15*d**3 + 72/5*d. Factor u(b).
(b - 3)**2*(b + 8)/5
Find i, given that -2 - 5595*i + 2398 + 3*i**2 + 2333 - 289 + 1152 = 0.
1, 1864
Suppose 0 = 7*a + 3*a - 20. Let u = a - -2. Find c, given that 4 + c**4 - c + c**u + 10*c**3 - 9*c + 6*c**2 - 12 = 0.
-4, -1, 1
Let v(y) = -61*y**4 + 465*y**3 - 32*y**2 + 9. Let h(t) = -672*t**4 + 5114*t**3 - 352*t**2 + 102. Let g(a) = 6*h(a) - 68*v(a). Determine r, given that g(r) = 0.
0, 2/29, 8
Factor 32*s**2 + 814*s + 682*s - 36*s**2 - 594 - 2382.
-4*(s - 372)*(s - 2)
Let m(w) = w**3 + 24*w**2 + 45*w + 33. Let l be m(-22). Let r be (l - 6 - -2) + -5. Factor -4/9 + 2/9*a**r - 2/9*a.
2*(a - 2)*(a + 1)/9
Let g be ((-5)/(-10) - 2)*-2. Suppose -11*r - 5*t + 9 = -15*r, g*t = 5*r - 5. Solve 6/5*z**2 - 2/3*z**3 + 2/15*z**r - 14/15*z + 4/15 = 0 for z.
1, 2
Let y(q) be the third derivative of -q**8/11200 + q**7/420 + 7*q**6/1200 - 14*q**5/15 + 7*q**2 + 4. Let z(t) be the third derivative of y(t). Factor z(i).
-3*(i - 7)*(3*i + 1)/5
Suppose -21 = 37*x - 44*x. Suppose 4*y**2 + x*y**4 + 5*y**4 + 10*y + 12 - 22*y**2 - 10*y**3 - 2*y**2 = 0. Calculate y.
-1, -3/4, 1, 2
Let m(o) = 2*o**2 - 22*o. Let v(y) = -4*y - y**2 - 5*y - 2*y**2 + 4*y**2. Let z = 714 - 702. Let c(t) = z*v(t) - 5*m(t). Solve c(g) = 0.
-1, 0
Let w be (-1)/(6 + 22/(-4))*6/(-4). Let 1/2*g**w + 0 + 11/4*g**2 - 3/2*g = 0. What is g?
-6, 0, 1/2
Suppose 174 = 1847*x - 1789*x. Let j be 4/10 - (-7)/20. Factor j*t**4 + 39/4*t**2 - 6*t**x - 9/2*t + 0.
3*t*(t - 6)*(t - 1)**2/4
Let l be (-2 - (-22)/5)*155/62. Let s be (l - (11 - 7))*1. Let -3 - 6*f**s + 3/2*f**3 + 15/2*f = 0. Calculate f.
1, 2
Let f(q) = q**3 + 68*q**2 + 87*q - 164. Let j be f(-67). Let v = j + 1504. Factor 2/13*c**3 + v - 8/13*c**2 + 6/13*c.
2*c*(c - 3)*(c - 1)/13
Let p(q) be the first derivative of 0*q + 6/35*q**5 - 21 - 15/14*q**2 - 9/7*q**4 + 2*q**3 + 1/14*q**6. Solve p(w) = 0 for w.
-5, 0, 1
Suppose 4*b - 5*o = 73 - 45, o = -4. Let t be b + (-35)/15 + 1. Suppose t*a + 0 - 1/3*a**2 = 0. Calculate a.
0, 2
Let j(w) be the third derivative of -w**7/735 + w**6/70 - w**5/42 - w**4/7 - 2*w**2 + 809*w. Factor j(z).
-2*z*(z - 4)*(z - 3)*(z + 1)/7
Let s(p) be the first derivative of p**6/27 + 44*p**5/45 + 16*p**4/3 - 64*p**3/3 + 234. Factor s(x).
2*x**2*(x - 2)*(x + 12)**2/9
Let i be 96/(-40)*100/6. Let l(n) = 2*n**2 + 81*n + 60. Let f be l(i). Determine s so that 38/3*s**3 + 10*s**4 - f*s**2 - 8*s + 16/3 = 0.
-2, -2/3, 2/5, 1
Find o such that -112*o - 96/5 - 14/5*o**4 + 154*o**2 - 20*o**3 = 0.
-12, -1/7, 1, 4
Let z be 70/(-5) - (-1586)/91 - (-6)/(-14). Let y = -12/13 - -88/39. Factor -2/3*b**z + 0 + y*b**2 + 0*b.
-2*b**2*(b - 2)/3
Factor -70 - 2/5*o**2 - 352/5*o.
-2*(o + 1)*(o + 175)/5
Let a be (-310)/40 + 3/4 - -10. Suppose 2 = -3*w + 2*n, a*w - 3*n + 8 = w. Factor -1/3*k**4 - 16/3 - 1/3*k**2 - w*k**3 + 8*k.
-(k - 1)**2*(k + 4)**2/3
Let k(v) be the third derivative of -289*v**5/390 + 136*v**4/39 - 256*v**3/39 + 7*v**2 + 156. Determine h, given that k(h) = 0.
16/17
Let f(y) = -4*y**2 + 150*y + 1458. Let s be f(-8). Let -50*j - 2/9*j**3 + 20/3*j**s + 0 = 0. What is j?
0, 15
Let r be 3*(-3)/9 + 1*4. Let d = -960 - -6726/7. Find m such that 0 + 0*m + 3*m**r + d*m**2 = 0.
-2/7, 0
Let v(p) be the third derivative of -p**7/6300 - p**6/180 - p**4/4 - 5*p**2 - 5*p. Let h(o) be the second derivative of v(o). Solve h(l) = 0.
-10, 0
Let c be 8/(-324)*(-36)/96. Let l(i) be the third derivative of 0*i + 0*i**3 - c*i**4 + 1/270*i**5 - 1/945*i**7 + 0 + 1/540*i**6 + 7*i**2. Factor l(g).
-2*g*(g - 1)**2*(g + 1)/9
Let r(d) be the first derivative of 1/130*d**5 - 3/13*d**2 - 24 - 5/78*d**4 - 12*d + 7/39*d**3. Let a(b) be