0, 1/2
Let s be 18538/(-2392) + (8 - 0). Determine i, given that 5*i + 25 + s*i**2 = 0.
-10
Let a(c) = 2*c**2 - 3*c - 17. Let f be a(-13). Let h be f/48 - 2*3. Factor 3/2*z + h*z**3 + 1 - 4*z**2.
(z - 2)*(z - 1)*(3*z + 1)/2
Let k be (1 - 1)/(17 + (-60)/4). Let k*z + 4/5*z**2 - 4/5*z**4 + 2/5*z**3 - 2/5*z**5 + 0 = 0. Calculate z.
-2, -1, 0, 1
Let n(s) be the third derivative of s**5/270 + 11*s**4/108 + 8*s**3/9 - 2*s**2 - 2*s. Factor n(a).
2*(a + 3)*(a + 8)/9
Determine y, given that 16/3*y**2 - 40/3 - 28/3*y + 4/3*y**3 = 0.
-5, -1, 2
Let j(a) be the second derivative of -a**4/18 - 5*a**3/6 - 7*a**2/6 + 34*a. Factor j(d).
-(d + 7)*(2*d + 1)/3
Let j(t) be the second derivative of t**6/60 - 7*t**5/20 + 2*t**4 + 7*t**3/6 - 49*t**2/4 + 7*t - 2. What is x in j(x) = 0?
-1, 1, 7
Let z(c) be the third derivative of c**6/180 - c**5/15 + c**4/3 - 8*c**3/3 - 23*c**2. Let u(k) be the first derivative of z(k). Solve u(b) = 0.
2
Let z be (8/(-6))/(3/(-18)). Determine c, given that -12*c + 74*c**3 + 30*c**2 - 69*c**3 - 40 - 5*c**4 - z*c = 0.
-2, -1, 2
Suppose -13689/4 - 1/4*r**2 + 117/2*r = 0. What is r?
117
Let -2*f**3 + 17*f**2 - 13*f**3 - 7*f**2 - 4830*f**5 + 4835*f**5 = 0. What is f?
-2, 0, 1
Let z(q) be the second derivative of -q**7/560 + q**6/60 - q**5/20 + q**3/3 + 4*q. Let s(f) be the second derivative of z(f). Determine j so that s(j) = 0.
0, 2
Let a be ((-10)/45)/((-12)/18) + 25/5. Find d such that -16*d + 44/3*d**3 + 5*d**4 + a + 0*d**2 = 0.
-2, 2/5, 2/3
Let p be -1 - (3 - -1)*-1. Suppose -p*v + 4*x = -26, 0 = 3*x - 3. Find d such that -23*d**3 - 2*d**3 + 6*d**4 + v*d + 15*d**5 - 11*d**4 + 5*d**2 = 0.
-1, -2/3, 0, 1
Let m(p) be the third derivative of -p**5/60 - 3*p**4/4 - 2*p**2 + 60*p. Solve m(i) = 0.
-18, 0
Let p(d) be the third derivative of -d**5/180 + 17*d**4/72 + 24*d**2 + 2. Solve p(t) = 0.
0, 17
Let t(i) be the second derivative of -3*i**5/20 + 2*i**4 - 7*i**3/2 + 68*i. Let t(r) = 0. What is r?
0, 1, 7
Let m(i) be the third derivative of -1/36*i**5 + 5/24*i**4 + 0*i**3 + 0 + 0*i + 26*i**2. Let m(n) = 0. What is n?
0, 3
Let p(u) be the second derivative of -u**5/80 + u**4/24 + 19*u**3/24 - 5*u**2/2 - 328*u. Suppose p(o) = 0. What is o?
-4, 1, 5
Let r(f) be the second derivative of f**5/160 + f**4/32 - 5*f**3/24 - f - 88. Factor r(h).
h*(h - 2)*(h + 5)/8
Let p be (24 - (-1 - -1)) + 3. Suppose -p = n - 2*n. Factor -21*f**2 - 6*f - n*f**3 - 15*f**4 - 8*f**5 - 4*f**5 + 9*f**5.
-3*f*(f + 1)**3*(f + 2)
Suppose -5*z + 4*z + 3*t = -15, -5*z + 5*t = -25. Factor 0*l**2 + z + 0*l**3 + 5/3*l**4 + 0*l.
5*l**4/3
Let c(v) be the second derivative of -v**4/84 - 19*v**3/42 - 17*v**2/7 - 293*v. Factor c(q).
-(q + 2)*(q + 17)/7
Factor -4*j - 537*j**2 + 157*j**2 + 380 - j + 5*j**3.
5*(j - 76)*(j - 1)*(j + 1)
Factor 153*b**2 + 127854*b - 9*b**2 - 3750 - 129429*b - 3*b**3.
-3*(b - 25)**2*(b + 2)
Let v be 9*((-12840)/648 - -20). Factor -10/3 + v*w**3 - 5*w + 0*w**2.
5*(w - 2)*(w + 1)**2/3
Suppose 0*n - 6*n**2 + 2/3*n**3 + 0 = 0. Calculate n.
0, 9
Suppose 2*f = h + 2*h + 304, -2*h = 4*f - 640. Factor f*r + 0 + 10 - 123*r - 27*r**2 + 7*r**2.
-5*(r - 2)*(4*r + 1)
Let o = 292/7 + -827/21. Let x(h) be the second derivative of -3*h**2 + 0 - 2/3*h**4 + h + o*h**3. Factor x(l).
-2*(l - 1)*(4*l - 3)
Let o = -32 + 47. Let s(u) = -12*u**3 - 3*u**2 + 75*u + 51. Let k(v) = -3*v**3 - v**2 + 19*v + 13. Let d(c) = o*k(c) - 4*s(c). Solve d(f) = 0 for f.
-1, 3
Let n = 2881/5738 + -6/2869. Find f, given that -2 + 1/4*f**3 - f + n*f**2 = 0.
-2, 2
Let c = 3/1415 - -5091/1415. Suppose -54/5*t - 54/5 - 2/5*t**3 - c*t**2 = 0. What is t?
-3
Let v(o) = o**3 + 7*o**2 + 3. Let r be v(-7). Let x(p) = -2*p**2 + 8*p - 16. Let l(u) = u**2 - 3*u + 5. Let c(d) = r*x(d) + 10*l(d). Solve c(q) = 0.
1/2, 1
Let y be ((-54)/15)/(4 - (-83)/(-20)). Factor 9*c - 55*c**2 + 11*c + 59*c**2 + y.
4*(c + 2)*(c + 3)
Let -8*c - 4/5*c**4 - 12/5*c**2 + 0 + 24/5*c**3 = 0. Calculate c.
-1, 0, 2, 5
Suppose -14*h + 48 = 2*h. Let o(v) be the second derivative of 0*v**2 - 1/30*v**5 + 0 + 0*v**h + 6*v + 1/18*v**4. Factor o(b).
-2*b**2*(b - 1)/3
Let i(v) be the second derivative of -v**4/15 + 4*v**3/5 - 16*v**2/5 + 2*v - 1. Factor i(s).
-4*(s - 4)*(s - 2)/5
Let s = -10598 - -10598. Solve 3/7*l**4 + s + 6/7*l**3 - 6/7*l - 3/7*l**2 = 0 for l.
-2, -1, 0, 1
Let d be (10/(-60))/(2/(-20) + 0). Let y(z) be the second derivative of z**5 + 1/3*z**6 + 0 + 1/21*z**7 + 5/3*z**4 + z**2 + 7*z + d*z**3. Factor y(u).
2*(u + 1)**5
Let l(f) = -f**5. Let s(v) = -46*v**5 - 5660*v**4 - 157898*v**3 + 129048*v**2 - 25992*v. Let y(n) = 4*l(n) + s(n). Solve y(p) = 0.
-57, 0, 2/5
Let w(r) be the second derivative of r**6/6 + r**5/2 + 5*r**4/12 + r - 4. Find s such that w(s) = 0.
-1, 0
Let x be -14*(-252)/1862 - (-2)/19. Find n, given that -6/5 + 2/5*n**x + 4/5*n = 0.
-3, 1
Let n = 12726 + -63626/5. Factor 12/5*a - n*a**2 + 0.
-4*a*(a - 3)/5
Factor 2*a**2 - 1/5*a**3 + 32/5 - 32/5*a.
-(a - 4)**2*(a - 2)/5
Let i be 242/30 + (-25)/5 - 3. Let m(k) be the third derivative of 0 + 0*k + i*k**3 + 1/300*k**6 - 1/150*k**5 - 1/60*k**4 - 3*k**2. Factor m(a).
2*(a - 1)**2*(a + 1)/5
Factor -120/17 - 22/17*j**2 - 2/17*j**3 + 112/17*j.
-2*(j - 2)**2*(j + 15)/17
Let v(g) be the first derivative of 25*g**4/4 - 110*g**3/3 + 115*g**2/2 - 30*g - 174. Factor v(j).
5*(j - 3)*(j - 1)*(5*j - 2)
Let w = -446 - -672. Let s be (-3)/12 - w/(-8). Factor 11*f + f - 8 + s*f**2 - 32*f**2.
-4*(f - 2)*(f - 1)
Let p be ((-40)/16)/((-200)/224). Factor -8/5*o + 2/5*o**4 - p*o**2 - 4/5*o**3 + 0.
2*o*(o - 4)*(o + 1)**2/5
Let x(w) = -33*w**2 + 41*w - 2. Let a(d) = 67*d**2 - 85*d + 4. Let m(p) = -3*a(p) - 7*x(p). Suppose m(g) = 0. What is g?
1/15, 1
Let a be -1 - (-275)/(-25)*(-5)/15. Factor -a - 2*u**2 - 4*u - 1/3*u**3.
-(u + 2)**3/3
Factor 16 - 206/13*d - 2/13*d**2.
-2*(d - 1)*(d + 104)/13
Let b = 8872 - 8872. Factor -4/9*l**3 - 2/9*l**4 + b*l + 0 + 0*l**2.
-2*l**3*(l + 2)/9
Let v(l) = -l**3 + 13*l**2 - 3*l + 42. Let z = -78 + 91. Let k be v(z). Solve 0*n + 0*n**2 - 2/9*n**4 + 0 - 2/9*n**k = 0.
-1, 0
Let r be (1 + (-3)/2)*-6. Let b = -1 + r. Find g, given that -2*g**2 + 2*g**2 + 9 + 15*g - g**b + 4*g**2 - 3*g**3 = 0.
-1, 3
Suppose -8*r + 6*r = -28. Suppose -6*y + y + r = h, -h = 1. Suppose -y - 8*s + 19 - 4*s - 4*s**2 = 0. What is s?
-4, 1
Let x(u) be the second derivative of u**6/420 - u**5/35 + 11*u**4/84 - 2*u**3/7 + 19*u**2/2 + 31*u. Let y(d) be the first derivative of x(d). Factor y(c).
2*(c - 3)*(c - 2)*(c - 1)/7
Factor 0 + 0*q - 3/4*q**2.
-3*q**2/4
Let f = 129 - 135. Let q(g) = 34*g**3 + 6*g**2 + 2*g + 6. Let h(t) = -101*t**3 - 18*t**2 - 5*t - 17. Let u(w) = f*h(w) - 17*q(w). Factor u(m).
2*m*(2*m + 1)*(7*m - 2)
Let o be 0*(-3 - -2)/(-3). Let l(n) be the third derivative of 1/20*n**5 + 1/40*n**6 + 0*n**3 + 5*n**2 + o*n**4 + 0*n + 0. Determine k so that l(k) = 0.
-1, 0
Factor 7/8*n**3 + 2 - 3/2*n**2 - 1/8*n**4 - 1/2*n.
-(n - 4)*(n - 2)**2*(n + 1)/8
Let u(r) = -36*r**3 + 76*r**2 + 32*r - 48. Let b(v) = 12*v**3 - 25*v**2 - 11*v + 16. Let k(c) = 16*b(c) + 5*u(c). Factor k(l).
4*(l - 2)*(l + 1)*(3*l - 2)
Let z(h) be the second derivative of 17/32*h**4 + 0 + 3/4*h**2 - 18*h - h**3 - 3/32*h**5. Let z(d) = 0. What is d?
2/5, 1, 2
Let y(d) be the third derivative of -d**7/945 + d**6/135 + d**5/270 - d**4/27 + 3*d**2 - 14. Factor y(g).
-2*g*(g - 4)*(g - 1)*(g + 1)/9
Let h(v) be the second derivative of -v**8/2240 - v**7/40 - 49*v**6/80 - 343*v**5/40 + v**4 - 21*v. Let n(y) be the third derivative of h(y). Factor n(o).
-3*(o + 7)**3
Let l(a) be the first derivative of a**6/135 - a**5/45 + 2*a**3/27 - a**2/9 + 10*a - 15. Let f(v) be the first derivative of l(v). Factor f(b).
2*(b - 1)**3*(b + 1)/9
Let f(h) be the first derivative of 2*h**6/3 + 8*h**5/5 - 4*h**4 - 8*h**3/3 + 6*h**2 - 34. Find j, given that f(j) = 0.
-3, -1, 0, 1
Solve -140/3*k**4 + 0*k - 4624/3*k**2 + 2/3*k**5 + 2584/3*k**3 + 0 = 0.
0, 2, 34
Let g(b) = -82*b**3 + 46*b**2 + 160*b + 54. Let o(h) = 27*h**3 - 16*h**2 - 53*h - 18. Let r(i) = -2*g(i) - 7*o(i). Factor r(y).
-(y - 2)*(5*y + 3)**2
Suppose 4*h - 2*s = 3*s - 2, 3*h - 4*s + 2 = 0. Factor 2/3*w**5 + 40*w**3 - 26/3*w**4 + 0 + 128/3*w - 224/3*w**h.
2*w*(w - 4)**3*(w - 1)/3
Let u(t) be the third derivative of 0*t + 12*t**2 - 1/1470*t**7 + 2/105*t**5 - 1/6*t**3 - 1/140*t**