 1)/11
Let y = -10/290069 - -290109/1160276. Solve 9/4*w**2 - 11/4*w**3 + 11/4*w + y*w**4 - 5/2 = 0.
-1, 1, 10
Let d(g) = -g**3 - 6*g**2 - 27*g - 25. Let h be d(-5). Let k be (-15)/(-9)*51/h - -1. Factor p**3 - 2*p + 1/2*p**4 + 2 - 3/2*p**k.
(p - 1)**2*(p + 2)**2/2
Suppose -z = 3*y + z - 116, -y = -2*z - 52. Suppose 6*g + 18 - y = 0. Suppose 3*a**g - a**3 + 4*a**3 - 43*a**2 + 37*a**2 = 0. What is a?
-2, 0, 1
Suppose -4*u - 54 = -31*u. Let -3*d**2 + 6148 - 6148 - u*d - 49*d = 0. Calculate d.
-17, 0
Factor -45 + 1/3*a**3 + 53*a - 25/3*a**2.
(a - 15)*(a - 9)*(a - 1)/3
Let t = 203123/304680 + -1/101560. Factor t*x**3 + 0*x + 0 + x**4 + 1/3*x**5 + 0*x**2.
x**3*(x + 1)*(x + 2)/3
Suppose 629*d - 260 + 62 - 1060 = 0. Let 2/7*m**5 - 12/7*m + 0 + 2/7*m**4 - 26/7*m**2 - d*m**3 = 0. Calculate m.
-2, -1, 0, 3
Suppose 1384*t + 18 = 1379*t + 4*s, -25 = 5*t - 5*s. Factor -r + 1/8*r**4 + 1/4*r**t + 5/8*r**3 + 0.
r*(r - 1)*(r + 2)*(r + 4)/8
Let f = -94169 - -94169. Solve 5/2*r**3 + 3/2*r**2 - 2*r - 1/2*r**5 + f - 3/2*r**4 = 0.
-4, -1, 0, 1
Let y be ((-1495)/(-169) - 9)*-13. Factor -3*m**y - 3 - 1/2*m**3 - 11/2*m.
-(m + 1)*(m + 2)*(m + 3)/2
Let -154/15*x**2 - 2/15*x**3 - 142/3 - 862/15*x = 0. What is x?
-71, -5, -1
Let v(o) be the first derivative of -o**3/30 + 209*o**2/20 - 104*o/5 - 2172. Find q, given that v(q) = 0.
1, 208
Let y(d) be the first derivative of d**5 + 35*d**4/4 + 20*d**3 - 4629. What is s in y(s) = 0?
-4, -3, 0
Let j = -13184 + 13187. Let y(c) be the third derivative of 21/40*c**6 + 0*c + 1/2*c**5 + j*c**2 + 7/60*c**7 + 0*c**3 + 0 + 1/6*c**4. Factor y(q).
q*(q + 2)*(7*q + 2)**2/2
Let z(l) be the second derivative of 0*l**4 + 1/72*l**6 + 0*l**5 + 11/6*l**3 + 0*l**2 - 12*l + 0. Let y(n) be the second derivative of z(n). Factor y(w).
5*w**2
Factor 12 + 2*g**2 - 18 - 24 + 67 + 44*g + 5.
2*(g + 1)*(g + 21)
Let f(x) be the third derivative of -x**6/48 + x**5/12 + 5*x**4/2 + 1654*x**2. Factor f(b).
-5*b*(b - 6)*(b + 4)/2
Let h(l) be the first derivative of l**4/2 - 26*l**3/3 - 105*l**2 - 342*l - 787. Factor h(v).
2*(v - 19)*(v + 3)**2
Let y(t) = t**3 + 62*t**2 + 562*t + 51. Let f be y(-51). Suppose -3*z = 6*s - s - 1, 3*z - 2 = -4*s. Determine l, given that 0*l + f*l**z + 1/5*l**3 + 0 = 0.
0
Let f(t) be the first derivative of t**4/3 - 14*t**3/3 - 16*t**2 + 23*t - 47. Let c(x) be the first derivative of f(x). Find h, given that c(h) = 0.
-1, 8
Suppose 5*k - 2*a - 15 + 82 = 0, 0 = 5*a + 20. Let c be k/(-10) - 14/12. Solve 2/3*p - 1/3*p**2 - c*p**3 + 0 = 0.
-2, 0, 1
Suppose 0 = 5168*x - 5059*x - 327. Suppose 3/4*v**5 + 3*v + 0 + 39/4*v**x + 9*v**2 + 9/2*v**4 = 0. What is v?
-2, -1, 0
Let d(n) be the second derivative of 1/48*n**4 - 1/40*n**5 + 0*n**3 + 0 - 7*n + 0*n**2 + 1/120*n**6. Find b, given that d(b) = 0.
0, 1
Let m(h) be the second derivative of -7*h**5/230 - 2246*h**4/69 - 240001*h**3/23 + 206082*h**2/23 - 2939*h. Factor m(g).
-2*(g + 321)**2*(7*g - 2)/23
Find l, given that 7*l**4 - 221*l**3 + 6*l**5 + 197*l**3 + 29*l**4 - 10*l**5 - 64*l**2 = 0.
-1, 0, 2, 8
Find w such that -2*w**2 + 1660857 - w - 3*w - 1660851 = 0.
-3, 1
Let h be (-8 + 9)/(-45)*33/(-88). Let k(z) be the third derivative of -2/15*z**5 - h*z**6 + 0*z + 0 - z**3 - 13/24*z**4 - 33*z**2. Factor k(v).
-(v + 1)**2*(v + 6)
Suppose 41*h = 46*h - 40. Factor -158*k + 12*k**3 + 142*k + h*k**3 - 32*k**2.
4*k*(k - 2)*(5*k + 2)
Let d = -63 - -86. Suppose 6*p = p + 2*n, -5*n + d = -p. Factor 2*y**p - 3*y**2 + 10 + 12*y + 2*y**2 + y**2.
2*(y + 1)*(y + 5)
Let z(c) be the first derivative of -c**5/5 + 1214*c**4 - 2947592*c**3 + 3578376688*c**2 - 2172074649616*c + 57. Factor z(i).
-(i - 1214)**4
Suppose f + 22 = 38. Factor 2*b**2 + f*b + 32 + 0*b**2 - 3 - 5.
2*(b + 2)*(b + 6)
Factor 260/7*a**2 + 6/7*a**3 + 164/7 + 578/7*a.
2*(a + 2)*(a + 41)*(3*a + 1)/7
Let j(m) be the first derivative of 55*m**4/12 + 90*m**3 - 50*m**2 + 100*m + 234. Let f(s) be the first derivative of j(s). Factor f(x).
5*(x + 10)*(11*x - 2)
Let v = -15815/94 + 7978/47. Let v - 1/2*n**2 - n = 0. Calculate n.
-3, 1
Factor -1/10*p**3 - 7/10*p**2 + 0 - 6/5*p.
-p*(p + 3)*(p + 4)/10
Let s be ((-2)/(-30))/((60/(-30))/(-18 + 6)). Let s*t**2 - 28/5*t + 26/5 = 0. What is t?
1, 13
Let c be (-7)/(-2)*(-372)/(-217). Determine f, given that 20 + 6*f**2 - 9*f - f**2 + 2*f**2 - c*f**2 + 0 = 0.
4, 5
Let j(i) = 17*i**3 - 93*i**2 - 236*i - 156. Let u(n) = -14*n**3 + 91*n**2 + 236*n + 156. Let h(o) = -5*j(o) - 6*u(o). Suppose h(g) = 0. What is g?
-78, -2, -1
Let f(i) = -i**3 - 2*i**2 + 5*i + 10. Let v be (1/1 - 4) + (-8 - -8). Let g be f(v). Find x, given that -3*x**2 - 21*x + 10*x + x**2 + g + 9*x = 0.
-2, 1
Let h(z) = 3*z + 29. Let q be h(-6). Suppose -7*p = -q*p + 3480. Factor 3*w**2 - 870*w + p*w.
3*w**2
Let j(a) = -36*a**4 - 36*a**3 + 56*a**2 + 41*a - 10. Let y(m) = 17*m**4 + 18*m**3 - 28*m**2 - 21*m + 5. Let l(i) = 3*j(i) + 5*y(i). Factor l(v).
-(v - 1)*(v + 1)**2*(23*v - 5)
Let h(d) = 12*d + 8. Let m be h(-1). Let g be 5/2 + 1/(3 + m). Determine l, given that -g*l + 0 - 9/2*l**3 - 9/2*l**2 - 3/2*l**4 = 0.
-1, 0
Let d = -45986 + 45986. Factor 4/3*j**3 + 0 - 2*j**2 + d*j.
2*j**2*(2*j - 3)/3
Determine k so that 2/19*k**2 + 624/19*k + 48672/19 = 0.
-156
Factor 62/3*k**2 + 5*k**3 + 1/3*k**4 + 0 + 16*k.
k*(k + 1)*(k + 6)*(k + 8)/3
Factor 15/2*d**2 - 1/2*d**3 + 486 + 144*d.
-(d - 27)*(d + 6)**2/2
Let a(v) = 29*v - 3881. Let h be a(134). Let m(f) be the third derivative of 2/45*f**3 + 0*f - 1/60*f**4 - 22*f**2 + 1/450*f**h + 0. Factor m(o).
2*(o - 2)*(o - 1)/15
Let r(c) be the second derivative of c**6/120 + 43*c**5/80 - 49*c**4/16 - 419*c**3/24 - 115*c**2/4 + 7945*c. Factor r(a).
(a - 5)*(a + 1)**2*(a + 46)/4
Let t(i) be the first derivative of 16*i**3/7 - 86*i**2/7 - 46*i/7 - 1873. What is c in t(c) = 0?
-1/4, 23/6
Let o = -367 + 362. Let m(b) = -8*b**4 + 20*b**3 - 62*b**2 + 6*b + 6. Let g(h) = 6*h**4 - 20*h**3 + 61*h**2 - 5*h - 5. Let a(r) = o*m(r) - 6*g(r). Factor a(s).
4*s**2*(s - 2)*(s + 7)
Factor 2/13*l**3 + 0 + 0*l**2 - 2/13*l**4 + 0*l.
-2*l**3*(l - 1)/13
Let l be -14*(-5)/20*(52 + -4). Find u such that -l*u - 24 + 39*u - 91*u + 76*u**2 = 0.
-2/19, 3
Let d(v) = v**3 + 13*v**2 + 19*v + 27. Let l be d(-13). Let t be 24*11*(-2)/l. Solve -8/5*k**2 + 0*k - 6/5*k**4 - t*k**3 + 0 - 1/5*k**5 = 0.
-2, 0
Let a(n) = 2*n + 83. Let h be a(-36). Factor -6*x**3 - h - 45*x**2 + x**3 + 56 + 2*x + 3*x.
-5*(x - 1)*(x + 1)*(x + 9)
Suppose 28*x - 29*x = 4*p - 14, -2*x - 2 = -2*p. Let v(b) be the second derivative of 3/7*b**2 + 7*b - 5/21*b**p + 1/70*b**5 + 1/42*b**4 + 0. Factor v(w).
2*(w - 1)**2*(w + 3)/7
Let h(u) be the third derivative of 5*u**5/12 - 68585*u**4/24 + 13715*u**3/3 - 5*u**2 - 2*u + 22. Factor h(g).
5*(g - 2743)*(5*g - 2)
Let s = -3631 - -3634. Let h(f) be the second derivative of 0*f**2 + 1/84*f**4 - 28*f + 0*f**s + 0. Determine b, given that h(b) = 0.
0
Let f = 4096 - 1118207/273. Let a(b) be the second derivative of 0*b**2 + 3/130*b**5 + 1/65*b**6 + 16*b + 1/78*b**4 + 0 + 0*b**3 + f*b**7. Factor a(q).
2*q**2*(q + 1)**3/13
Suppose -3*p + 4*n + 96 = 0, 5*n - n + 3476 - 3392 = 0. Factor 0*v**3 + 0 - 1/5*v**5 + 0*v**2 - 11/5*v**p + 0*v.
-v**4*(v + 11)/5
Let n = -38 - -6. Let x = n + 37. Factor -28*a**3 + 3*a - 21*a**2 - 20*a**3 + 93*a**3 - 39*a**4 + 12*a**x.
3*a*(a - 1)**3*(4*a - 1)
Let b(s) = s**2 + 6*s + 1. Let o be b(-4). Let l = o - -12. Suppose 5*m**2 + 5*m**l - 309*m - m**4 - 5*m**3 - 4*m**4 + 309*m = 0. What is m?
-1, 0, 1
Let i = 159 - 134. Let 6 + 120*a**2 + 30*a**4 + 12 + 65*a**3 + 7*a**5 + 75*a + i*a**3 - 4*a**5 = 0. Calculate a.
-6, -1
Factor 128430*u + 135*u**3 + 663*u**2 + 3*u**4 - 127938*u - 159*u**2.
3*u*(u + 2)**2*(u + 41)
Suppose 14 = 5*z + 3*s, -5*z + 3*s = s - 24. Suppose -w = -0*w + z*t - 5, 4*t = 4. Factor -3*v**4 + 9*v**2 - 1 - 4 + 3*v**3 - 3*v - w.
-3*(v - 2)*(v - 1)*(v + 1)**2
Let w(h) be the first derivative of 6/55*h**5 + 0*h + 0*h**2 + 151 - 27/22*h**4 + 0*h**3. Solve w(p) = 0 for p.
0, 9
Let r(s) = 31*s**4 + 28*s**3 + 5*s**2 - 5*s. Let m(b) = 19*b**4 + 16*b**3 + 3*b**2 - 3*b. Let k(t) = -5*m(t) + 3*r(t). Let k(c) = 0. Calculate c.
0, 2
Let a(y) be the second derivative of 0 + 0*y**3 - 1/20*y**5 + 1/10*y**6 + 0*y**2 - 1/4*y**4 + 1/42*y**7 - 81*y. Factor a(x).
x**2*(x - 1)*(x + 1)*(x + 3)
Suppose -17*d + 18*d - 2*y =