9 - 59*c**4 - 760*c**2 + 9 + 350*c**3 - 11*c**4 = 0. What is c?
1, 2, 5
Let l(i) be the third derivative of i**8/80640 - i**7/4032 + i**6/720 - 3*i**5/20 + 2*i**2. Let z(p) be the third derivative of l(p). Factor z(a).
(a - 4)*(a - 1)/4
Let f(l) be the second derivative of -l**6/240 - 7*l**5/80 - 19*l**4/32 - 19*l**3/12 - 2*l**2 - 158*l. Factor f(y).
-(y + 1)**2*(y + 4)*(y + 8)/8
Let b = 96 + -63. Suppose -9 = b*k - 36*k. Factor 1/3 - 2/3*g**k - 1/3*g**5 - g**4 + 2/3*g**2 + g.
-(g - 1)*(g + 1)**4/3
Suppose 8611 = -8*f - 1061. Let u be f/(-13) - (0 - 2). Determine r, given that -45*r**2 - 15*r**3 + u*r**2 - 15*r + 60*r**3 - 20*r**4 = 0.
-1, 0, 1/4, 3
Factor -268/11*i + 8978/11 + 2/11*i**2.
2*(i - 67)**2/11
Suppose -2*r - 5 = 2*n + 1, 0 = r - 5*n + 27. Let i = r + 11. Factor -3*h**2 + 2*h + 2*h**i + h**2 + 2*h**2 - 2*h**2 - 2*h**3.
2*h*(h - 1)**2*(h + 1)
Let k(d) = d**3 + 4*d**2 + 2. Suppose 6 = q - 2*a, -25 = 9*a - 4*a. Let f be k(q). Factor 1/2 + 1/2*j**f - j.
(j - 1)**2/2
Let p(d) be the third derivative of d**5/30 + d**4 + 20*d**3/3 + 4*d**2. Find t such that p(t) = 0.
-10, -2
Let d be (-39)/(-45) + (-18)/40 + (-41)/(-164). Suppose 0 - d*c**4 - 10/3*c**3 - 8/3*c**2 + 0*c = 0. Calculate c.
-4, -1, 0
Let b = 32 - 28. Factor 25*t - 2 + b - 7 - 20*t**2.
-5*(t - 1)*(4*t - 1)
Let o(h) be the first derivative of -h**5/15 - 31*h**4/12 - 59*h**3/9 - 29*h**2/6 - 199. Suppose o(l) = 0. Calculate l.
-29, -1, 0
Find n, given that 1/4*n**3 - 77/4*n + 39/4 + 37/4*n**2 = 0.
-39, 1
Let l(t) be the first derivative of -13*t + 4/21*t**3 - 1/42*t**4 + 0*t**2 + 10. Let y(h) be the first derivative of l(h). Suppose y(n) = 0. Calculate n.
0, 4
Factor 3*p**4 + 67*p**2 + 3*p**3 + 10 - 13 - 15*p - 76*p**2 - 3.
3*(p - 2)*(p + 1)**3
Factor -3*q - 3*q + 1922*q**2 + 3*q**3 - 1919*q**2.
3*q*(q - 1)*(q + 2)
Let t(m) be the first derivative of -m**4/4 - 2*m**3 + 7*m**2/2 + 2*m - 3. Let g be t(-7). Let -49*h**3 - 4*h + 4 - 25*h**2 - 4 - 3*h**g = 0. What is h?
-2/7, 0
Let l = -29 - -26. Let a(y) = y**2 - 3*y - 16. Let i(q) = -4*q - 16. Let n(r) = l*i(r) + 4*a(r). Solve n(p) = 0 for p.
-2, 2
Let a be 158 - (5 - 1)/1. Let c = a - 461/3. Factor -c*h**4 + 1/3*h**2 + 0 + 2/3*h - 2/3*h**3.
-h*(h - 1)*(h + 1)*(h + 2)/3
Let z(k) be the first derivative of 1/9*k**3 + 9 + 2/3*k**2 + 4/3*k. Find j such that z(j) = 0.
-2
Let i(s) be the first derivative of -2*s**3/15 - 7*s**2/5 + 16*s/5 - 97. Factor i(c).
-2*(c - 1)*(c + 8)/5
Let g(o) = -o + 15. Let q be g(13). Suppose 5*h + 25 = 0, -3*s - 3*h = -2*s + 10. Let -13*l**q + s*l**2 - 4*l - 2 + 6*l**2 = 0. What is l?
-1
Let q(d) = d**3 + 30*d**2 + 28*d - 29. Let m be q(-29). Suppose 2*a - 4*a + 4*t + 4 = m, 0 = 2*a - t - 4. Factor 4/15*v + 0 + 2/15*v**3 - 2/5*v**a.
2*v*(v - 2)*(v - 1)/15
Let m(c) be the first derivative of -c**4/22 - 8*c**3/11 - c**2 - 330. Determine b so that m(b) = 0.
-11, -1, 0
Let q = 1562/13 + -120. Let n = -11/10 - -163/130. Factor -6/13*g**2 - n*g + 0 - q*g**4 - 6/13*g**3.
-2*g*(g + 1)**3/13
Factor 167/3*d**3 + 4/3*d**2 + 574*d**4 + 0*d + 0 - 147*d**5.
-d**2*(d - 4)*(21*d + 1)**2/3
Let v(s) be the first derivative of s**5/20 + s**4/4 + s**3/3 + 2*s - 12. Let u(q) be the first derivative of v(q). Factor u(z).
z*(z + 1)*(z + 2)
Factor 86*o + 91*o - 12*o**3 - 3*o**4 - 177*o.
-3*o**3*(o + 4)
Factor 7605*o**3 + 0*o + 3/5*o**5 - 117*o**4 + 0 - 164775*o**2.
3*o**2*(o - 65)**3/5
Suppose 0 = 3*k - 5*x + 180 - 56, 4*k + 208 = -4*x. Let g be ((-12)/80)/(3/k). What is v in 2/5*v**2 + 18/5 - g*v = 0?
3
Suppose 5*a + 164 = 3*g - 5*g, 0 = -2*a + 3*g - 58. Let j be a/72*(9/(-2) + 3). Factor 0 - 2/9*o**5 + 2/3*o**4 + 2/9*o**2 - j*o**3 + 0*o.
-2*o**2*(o - 1)**3/9
Let s(l) be the first derivative of -70*l**6/3 - 404*l**5/5 + 16*l**4 + 608*l**3/3 - 32*l**2 - 64*l - 246. Determine u so that s(u) = 0.
-2, -2/7, 2/5, 1
Let y(u) be the third derivative of -u**5/12 + 25*u**4/24 - 10*u**3/3 + 12*u**2. Factor y(r).
-5*(r - 4)*(r - 1)
Let y(d) be the second derivative of d**6/50 + 3*d**5/10 + 37*d**4/20 + 6*d**3 + 54*d**2/5 - d + 46. Factor y(x).
3*(x + 2)**2*(x + 3)**2/5
Let b(l) be the third derivative of l**5/240 - 67*l**4/96 + 39*l**2 - 3. Factor b(h).
h*(h - 67)/4
Let d(j) be the third derivative of -j**7/2100 + j**6/1200 + j**5/200 - j**4/240 - j**3/30 + 64*j**2. Let d(a) = 0. What is a?
-1, 1, 2
Let d(q) be the first derivative of 0*q - 2 - 2/35*q**5 - 2/21*q**3 + 1/7*q**4 + 0*q**2. Let d(h) = 0. Calculate h.
0, 1
Factor -2/3*b + 2/3*b**3 + 2/3*b**2 + 0 - 2/3*b**4.
-2*b*(b - 1)**2*(b + 1)/3
Suppose 292 = -28*p + 174*p. Determine j so that 4*j - 12 - 1/3*j**p = 0.
6
Let r = -4301/13 + 331. Let v(f) = 3*f**2 - 28*f + 11. Let m be v(9). What is q in 0 - 2/13*q**3 + 0*q**m + 0*q + r*q**4 = 0?
0, 1
Solve 12*u**2 - 40*u + 10*u - u**3 + 5*u**2 = 0.
0, 2, 15
Let 4806*c**4 - 19*c - 13*c - 4808*c**4 - 28*c**3 + 62*c**2 = 0. Calculate c.
-16, 0, 1
Let l(n) be the third derivative of -n**5/120 + n**4/2 + 25*n**3/12 - 108*n**2. Solve l(g) = 0.
-1, 25
Find i, given that -2956*i**5 + 41*i**2 - 22*i**3 - 2*i**4 + 16 + 17*i**2 + 2958*i**5 - 52*i = 0.
-4, 1, 2
Suppose -13 = -5*l - 3. Suppose -l*b - 1 = 3*d + 3, 5*b + 27 = d. Determine j so that -2/7 + 4/7*j - 2/7*j**d = 0.
1
Solve -17*h + h - 30*h**3 + 3 - 6*h**2 + 16*h**2 - 3*h**5 + h + 15*h**4 + 20*h**2 = 0.
1
Determine y so that 1875/7 - 150/7*y + 3/7*y**2 = 0.
25
Suppose 0 = 4*y + 20, 4*q - 11 = 8*y + 29. Determine v so that q*v + 2/11*v**2 + 0 = 0.
0
Let a = 146 - 134. Let h be 1 + (-14)/(-12) - a/18. Factor -h*g**3 - g + 5/2*g**2 + 0.
-g*(g - 1)*(3*g - 2)/2
Factor -88/21 + 2/21*d**3 + 178/21*d - 92/21*d**2.
2*(d - 44)*(d - 1)**2/21
Let g(r) be the third derivative of 0 + 4/9*r**3 - 5/18*r**4 - 1/90*r**6 + 0*r + 4/45*r**5 - 8*r**2. Factor g(m).
-4*(m - 2)*(m - 1)**2/3
Let k(s) be the first derivative of -9*s + 0*s**2 - 1/140*s**5 - 2 - 1/42*s**4 + 0*s**3. Let c(u) be the first derivative of k(u). Factor c(r).
-r**2*(r + 2)/7
Let a(n) = -25*n**5 + 310*n**4 + 230*n**3 - 105*n**2. Let i(f) = 13*f**5 - 155*f**4 - 115*f**3 + 53*f**2. Let q(t) = 2*a(t) + 5*i(t). Let q(l) = 0. Calculate l.
-1, 0, 1/3, 11
Let h(g) = -20*g**3 - 19*g**2 + g + 2. Let w(r) = 101*r**3 + 95*r**2 - 6*r - 11. Let m(f) = -11*h(f) - 2*w(f). Determine a, given that m(a) = 0.
-1, -1/18, 0
Let z(i) be the first derivative of -i**3 + 33*i**2/2 - 66. Factor z(b).
-3*b*(b - 11)
Let o(c) be the first derivative of c**7/840 - c**6/360 - c**5/60 - 17*c**3/3 - 17. Let t(n) be the third derivative of o(n). Let t(w) = 0. Calculate w.
-1, 0, 2
Suppose r + 8 - 10 = 0. Factor 16*l - 2*l**3 - 9*l**2 + r*l**4 + l**2 - 8*l.
2*l*(l - 2)*(l - 1)*(l + 2)
Let v(s) be the first derivative of -s**3/3 - 44*s**2 + 89. Find d, given that v(d) = 0.
-88, 0
Let u(y) be the third derivative of -y**6/40 - 21*y**5/20 - 99*y**4/8 + 121*y**3/2 + 2*y**2 - y. Determine p so that u(p) = 0.
-11, 1
Find u, given that 338/5 - 78*u - 2/5*u**3 + 54/5*u**2 = 0.
1, 13
Suppose 0 = 3*t - 4*t - y, -4*y = -3*t. Let k = 793 + -3171/4. What is u in -1/8*u + t - 1/8*u**3 + k*u**2 = 0?
0, 1
Let u(d) = -d**3 - 60*d**2 - 326*d - 12. Let z be u(-6). Factor z*o + 0*o**3 - 2/5*o**4 - 2/5 + 4/5*o**2.
-2*(o - 1)**2*(o + 1)**2/5
Let w be 156/(-27) - (-4)/(-18). Let s be 5/w*((-237)/45 - -5). Find u such that -s*u**2 - 4/9*u - 2/9 = 0.
-1
Let s(n) be the second derivative of 2*n**7/21 - 2*n**6/45 - 23*n**5/15 + 25*n**4/9 + 16*n**3/9 - 8*n**2 - 61*n. What is t in s(t) = 0?
-3, -2/3, 1, 2
Let s(t) be the first derivative of 0*t - 1/2*t**2 + 17 - 1/15*t**3. Factor s(d).
-d*(d + 5)/5
Suppose -8*i + 0 + 19*i**3 + 62/3*i**2 + 10/3*i**4 = 0. What is i?
-4, -2, 0, 3/10
Let h = -2 - -237. Let g = h - 232. Let -16/9*k - 2/9*k**g + 10/9*k**2 + 8/9 = 0. What is k?
1, 2
Suppose -57 = -81*n + 66*n + 3. Let 160/7*k - 48/7 + n*k**2 = 0. What is k?
-6, 2/7
Let d be (-2)/48 + (-5963)/(-40584). Factor -d*o + 8/19*o**4 + 0 - 12/19*o**3 + 8/19*o**2 - 2/19*o**5.
-2*o*(o - 1)**4/19
Let a = 4/4681 - -149612/210645. Let j = a - 2/45. Suppose j + 2/3*n**3 - 2/3*n**2 - 2/3*n = 0. Calculate n.
-1, 1
Let i(c) be the second derivative of 7*c**5/40 - c**4/12 - 7*c**3/12 + c**2/2 + 46*c. What is h in i(h) = 0?
-1, 2/7, 1
Let c(q) be the second derivative of q**6/50 - 7*q**5/100 - q**4/10 + 2*q**3/5 + 4*q**2/5 - 23*q. Factor