 163 - 177 = -f*p. Factor 0 + 3/5*v**p - 27/5*v.
3*v*(v - 9)/5
Let j(w) = 10*w**3 + 2*w**2 - 18*w + 7. Let r be j(3). Let f = 243 - r. Let -2/7*k**f + 8/7 - 6/7*k = 0. What is k?
-4, 1
Solve 15*r + 0 - 10/3*r**2 = 0.
0, 9/2
Let s(r) be the second derivative of 24*r**3 + 4*r**4 + 41*r + 0 + 1/5*r**5 + 0*r**2. Solve s(k) = 0 for k.
-6, 0
Suppose 8*r + 10 = 10*r. Let q be (r/(135/12))/(4/12). Factor -2/3*m - q*m**2 + 0 - 2/3*m**3.
-2*m*(m + 1)**2/3
Let s be (2/(-3))/((-6)/9). Factor -s + 17 + 2*q**2 - 6*q + 16*q - 4.
2*(q + 2)*(q + 3)
Let y be (1576/(-9456))/(0 + 1/(-6)) - -2. Let 0 + 8/11*q**5 + 0*q - 6/11*q**2 - 14/11*q**4 - 28/11*q**y = 0. Calculate q.
-1, -1/4, 0, 3
Let q be 250/3750*(-1 - 4 - -11). Factor -q*o**2 + 72/5 + 32/5*o.
-2*(o - 18)*(o + 2)/5
Let c(x) = -x**2 - 103*x + 2606. Let n be c(21). Factor n*j + 3/4 - 1/4*j**4 + 3/2*j**2 + 0*j**3.
-(j - 3)*(j + 1)**3/4
Let w(r) be the first derivative of 1/15*r**3 + 0*r - 3/10*r**2 - 167. Factor w(b).
b*(b - 3)/5
Let h = -48 - -19. Let y = 42 + h. Factor y*l + 28*l**4 - 6 + 6*l**5 + 52*l**3 + 48*l**2 + 3 + 7 + 9*l.
2*(l + 1)**4*(3*l + 2)
Let j(k) be the first derivative of 68/9*k**3 + 4/3*k**4 + 4*k - 74 + 32/3*k**2. Let j(y) = 0. Calculate y.
-3, -1, -1/4
Suppose -18*j - 79 = j - 136. Let z(g) be the second derivative of -3*g**2 + 2/3*g**4 - 1/3*g**j + 26*g + 0. Solve z(o) = 0.
-3/4, 1
Let a = 50157 + -300941/6. Factor -1 - a*q**4 - 7/2*q**2 - 19/6*q - 3/2*q**3.
-(q + 1)**3*(q + 6)/6
Suppose -193875*r = -193892*r + 34. Factor -11/4*n**r + 1/4*n**4 - 2 + 9/2*n + 0*n**3.
(n - 2)*(n - 1)**2*(n + 4)/4
Suppose 9 = 4*a + 2*t - 5, 5*t - 11 = 2*a. Factor 48*q - 32*q + 45*q + 768 + 35*q + 3*q**a.
3*(q + 16)**2
Let g(z) be the second derivative of -1/21*z**4 + 0 + 0*z**5 + 1/21*z**3 - 1/147*z**7 - 158*z + 2/105*z**6 + 0*z**2. Factor g(p).
-2*p*(p - 1)**3*(p + 1)/7
Let v = 1672477/390243 + -1/55749. Find z, given that 2/7*z**4 - v*z**3 + 50/7*z**2 - 52/7 + 30/7*z = 0.
-1, 1, 2, 13
Let q be (-14)/(-3)*897/46. Suppose -q = -35*z + 49. What is t in 10/11*t**3 + 8/11*t**z + 0*t + 0 + 4/11*t**2 + 2/11*t**5 = 0?
-2, -1, 0
Suppose 658/3 + 332/3*n**2 - 1/3*n**3 - 989/3*n = 0. What is n?
1, 2, 329
Let f = 73459/15 + -4897. Let x(m) be the first derivative of -f*m**3 + 4/5*m + 1/5*m**2 - 1/10*m**4 - 3. Determine i, given that x(i) = 0.
-2, -1, 1
Let r(k) be the first derivative of -k**3/9 - 1549*k**2/3 - 2399401*k/3 - 3826. Factor r(q).
-(q + 1549)**2/3
Let o(q) be the second derivative of 10*q**4/3 - 65*q**3/2 - 25*q**2/2 - 15*q. Find f such that o(f) = 0.
-1/8, 5
Let a = 94 + -86. Factor 9*l**3 + 8*l**4 + 170*l**2 - 64*l**3 - a*l**3 + 72 - 23*l**3 + 336*l.
2*(l - 6)**2*(l + 1)*(4*l + 1)
Let b be (-200)/1300 - (-56)/(-780)*-69. Let u = 5 - 1. Factor u + 4/5*h**2 + b*h.
4*(h + 1)*(h + 5)/5
Factor -96721/5 - 1/5*t**2 - 622/5*t.
-(t + 311)**2/5
Let q be (-55)/(-6) + 1080/(-120). Let 0*h - 1/6*h**3 - q*h**2 + 0 + 1/6*h**4 + 1/6*h**5 = 0. What is h?
-1, 0, 1
Let q(k) be the first derivative of -16/9*k**3 - 92 + 16/3*k - 1/3*k**4 + 2/3*k**2. What is c in q(c) = 0?
-4, -1, 1
Let t be 12/3*(-40)/(-280). Let n(q) be the first derivative of 1 + 2/21*q**3 - t*q - 1/7*q**2. Factor n(f).
2*(f - 2)*(f + 1)/7
Let a(z) be the second derivative of z**5/10 + 3*z**4/2 + 20*z**3/3 + 12*z**2 + 1435*z. Factor a(y).
2*(y + 1)*(y + 2)*(y + 6)
Let i(y) = -39*y + 70. Let s be i(1). Let h be (s/(341/66))/3. What is l in 0 + 0*l**h + 0*l**3 + 0*l - 1/3*l**5 - 1/3*l**4 = 0?
-1, 0
Let p(t) = t**2 + 8*t - 79. Let f be p(-14). Suppose 8*s + f*s + 3*s - 100*s**2 + 99*s**2 = 0. Calculate s.
0, 16
Let y = 79 + -74. Suppose 0 = 4*d - 4*q - 8, 5 = 2*d + y*q + 1. Let -162 - 10*a**3 - 78 + 7*a**3 - 2*a**3 - 55*a**d - 200*a = 0. What is a?
-4, -3
Let k(b) = b**3 + 11*b**2 + 11*b + 15. Let w be k(-10). Suppose -2*m + 3*p = w*p + 2, 3*p = -9. Determine o so that 5/2*o + 15/4*o**m - 5/4 = 0.
-1, 1/3
Let x(k) be the third derivative of k**5/20 + 113*k**4/8 + 966*k**3 + 14844*k**2. Suppose x(n) = 0. Calculate n.
-92, -21
Let p be (-330)/(-20) + -8 + (-6 - -3). Let 2*u**4 + p*u**2 - 13/2*u**3 + 0 - u = 0. What is u?
0, 1/4, 1, 2
Let j(c) be the first derivative of 2*c**6/3 + 104*c**5/5 + 94*c**4 + 544*c**3/3 + 178*c**2 + 88*c + 12386. Factor j(s).
4*(s + 1)**4*(s + 22)
Let o(v) be the third derivative of v**5/180 - 125*v**4/72 - 7*v**3 + 3*v**2 + 3*v. Suppose o(l) = 0. Calculate l.
-1, 126
Let x(q) be the third derivative of 125*q**8/672 + 220*q**7/21 + 41*q**6/2 - 152*q**5/3 + 85*q**4/3 + 2*q**2 - 4519*q. Determine s, given that x(s) = 0.
-34, -2, 0, 2/5
Solve -30/7*o**3 + 10776/7*o + 3600/7 + 4428/7*o**2 = 0 for o.
-2, -2/5, 150
Let a(m) be the second derivative of m**5/270 + m**4/27 - 4*m**3/9 - 55*m**2 - m - 22. Let w(z) be the first derivative of a(z). Suppose w(v) = 0. What is v?
-6, 2
Let u(g) be the second derivative of -14*g**6/45 - 541*g**5/15 + 105*g**4 - 478*g**3/9 - 316*g**2/3 + 1012*g. Suppose u(j) = 0. Calculate j.
-79, -2/7, 1
Factor -632/5 - 624/5*q - 30*q**2 + 2/5*q**3.
2*(q - 79)*(q + 2)**2/5
Let m(h) = 3*h**2 - h + 11. Let f be m(5). Let z = -77 + f. Find k such that 0*k**3 - 2*k + 2*k**3 + 40*k**4 - 39*k**z - k**2 = 0.
-2, -1, 0, 1
Suppose 2/11*z**2 - 1556/11 + 774/11*z = 0. Calculate z.
-389, 2
Let j(m) be the third derivative of 5/192*m**4 + 0*m - 1/8*m**3 - 2*m**2 + 1 - 1/480*m**5. Factor j(l).
-(l - 3)*(l - 2)/8
Solve 32/5*o**2 + 37210 + 976*o = 0 for o.
-305/4
Let t(c) be the third derivative of c**5/240 + 113*c**4/96 + 3*c**2 + 380. Factor t(p).
p*(p + 113)/4
Let t(j) be the third derivative of j**7/420 - j**6/16 + 1276*j**2. Factor t(k).
k**3*(k - 15)/2
Let i(f) be the first derivative of 7/9*f**3 - 23*f + 2*f**2 - 10 + 1/18*f**4. Let t(b) be the first derivative of i(b). Factor t(s).
2*(s + 1)*(s + 6)/3
Let f(k) be the third derivative of -k**7/504 + k**6/36 - k**5/6 + k**4/8 - 5*k**3/6 + 3*k**2 + 18. Let l(x) be the second derivative of f(x). Factor l(o).
-5*(o - 2)**2
Let w(y) = y**2 + 27178*y + 46267204. Let x(z) = 8*z**2 + 190256*z + 323870428. Let i(l) = 20*w(l) - 3*x(l). Find f, given that i(f) = 0.
-3401
Let i = 42 - 10. Let h be 5 - ((-10)/35 - i/(-14)). Factor -51*m**2 - 240*m + 5*m**3 + 8*m**h - 16*m**3 - 192.
-3*(m + 1)*(m + 8)**2
Let s be (-219 + -1)*(-42)/105. Suppose s*p - 4 = 86*p. Let 2/5*b**3 + 0 - 1/5*b**p - 2/5*b + 1/5*b**4 = 0. Calculate b.
-2, -1, 0, 1
Let z(o) be the third derivative of o**6/60 - 31*o**5/15 - 133*o**4/4 - 204*o**3 + o**2 + 7*o + 11. Factor z(f).
2*(f - 68)*(f + 3)**2
Let x(l) = -61. Let a(i) = -i**2 + 1077*i - 671. Let g(w) = 4*a(w) - 44*x(w). Factor g(h).
-4*h*(h - 1077)
Factor -277 + 7*a**2 - 5*a - 3*a**3 - 11 + 17*a + 3*a**2 + 17*a**2.
-3*(a - 8)*(a - 4)*(a + 3)
Let x = 108 - -145. Suppose -x*h = -246*h. Let -8/3*y**3 + 4/3*y**4 + 0*y - 4/3*y**2 + 8/3*y**5 + h = 0. Calculate y.
-1, -1/2, 0, 1
Let c(j) be the first derivative of 2*j**2 + 2/3*j**3 - 6*j - 109. Factor c(p).
2*(p - 1)*(p + 3)
Let u(x) = -x + 1. Suppose -9*g = 15 + 3. Let m be u(g). Determine t so that -26*t - 4 + t + 16*t + 0*t**3 - 6*t**2 - t**m = 0.
-4, -1
Let v be (-3439)/(-1805) + (-16)/152. Let a(n) be the first derivative of -4*n - 3*n**4 + 6*n**2 - 5/3*n**3 + 4 + v*n**5. Let a(i) = 0. What is i?
-1, 2/3, 1
Factor 1352/11*y**3 + 0 - 1350/11*y**2 - 2/11*y**4 + 0*y.
-2*y**2*(y - 675)*(y - 1)/11
Let b(y) be the third derivative of 42*y**2 + 0*y - 1/120*y**6 + 1/8*y**4 + 1/30*y**5 + 0 + 0*y**3. Solve b(m) = 0 for m.
-1, 0, 3
Suppose 15/2*o + 151/4*o**2 + 0 - 175/4*o**3 - 3/2*o**4 = 0. Calculate o.
-30, -1/6, 0, 1
Let i(n) = 35*n**3 - 180*n**2 - 75*n + 55. Let z(k) = -32*k**2 - 2*k + 1. Let g(o) = i(o) - 5*z(o). Factor g(t).
5*(t - 1)**2*(7*t + 10)
Let r(i) be the third derivative of 1/3*i**3 - 15 - 1/120*i**6 - 2*i**2 + 1/24*i**4 + 0*i + 1/210*i**7 - 1/20*i**5. Factor r(m).
(m - 2)*(m - 1)*(m + 1)**2
Let y = 1652406/14083 + -2/42249. Suppose -64*c - y*c**2 - 4/3*c**5 - 68*c**3 + 0 - 16*c**4 = 0. What is c?
-4, -3, -1, 0
Factor -332/3*r**2 + 1196/3*r + 320/3 + 16/3*r**3.
4*(r - 16)*(r - 5)*(4*r + 1)/3
Let v(o) be the second derivative of 15*o - 3/28*o**4 + 3/7*o**2 - 4 - 1/14*o**3 + 1/70*o**6 + 3/140*o**5. Find i such that v(i) = 0.
-2, -1, 1
Let m(n) be the third derivative of n**6/180 + n**5/10 + 5*n**4/12 - 70*n**