be (34/(-1666))/(37/(-518)). Solve 0*n**2 + 0 - 2/7*n**4 + q*n**3 + 0*n = 0.
0, 1
Let a(g) = 71*g**2 + 54*g - 3. Let q(f) = 24*f**2 + 18*f - 2. Let o(u) = 2*a(u) - 7*q(u). Factor o(k).
-2*(k + 1)*(13*k - 4)
Let w(g) be the first derivative of 16 + 4*g**2 + 1/6*g**4 + 15*g + 5/3*g**3. Let n(j) be the first derivative of w(j). Factor n(h).
2*(h + 1)*(h + 4)
Let m(p) = 71*p**2 + 8*p + 5. Let a be m(-1). Suppose 77*r = a*r. Determine c, given that 0*c**2 - 42/5*c**4 + 3/5*c**5 + 0*c + 147/5*c**3 + r = 0.
0, 7
Let b(l) be the third derivative of 23*l**8/336 + 113*l**7/210 - l**6/12 - 9453*l**2. Factor b(s).
s**3*(s + 5)*(23*s - 2)
Suppose -17 - 31 = -8*q. Find f, given that 1 + 4 + 0 - 2*f**2 + 6*f - q*f**3 - 2*f**4 - 1 = 0.
-2, -1, 1
Let z(f) = f**3 - 5*f**2 - 3*f - 8. Let t be z(6). Let x be 150/(-12)*(-32)/10. Factor 3*k**2 + x - t - 18 - 15*k.
3*(k - 4)*(k - 1)
Let v = -487/8 + 4463/72. Factor -7/9*t + 1/9*t**2 + v.
(t - 5)*(t - 2)/9
Let h(z) be the second derivative of 0 + 1/2*z**4 + 0*z**3 - 3/2*z**2 + 57*z + 0*z**5 - 1/10*z**6. Determine o so that h(o) = 0.
-1, 1
Let h(n) = 2*n**2 - 30*n + 76. Let q be h(25). Suppose 13*d - q = d. Factor -9*c**5 - d*c**3 + 5*c**5 + 16*c**4 + 40*c**2 - 12*c + 8*c**4.
-4*c*(c - 3)*(c - 1)**3
Factor 40 + 407569126513*b**3 + 1197061302*b**2 - 1267271987810*b**3 + 485492328*b**2 - 449340*b - 821771337931*b**3 - 418633156617*b**3.
-5*(7489*b - 2)**3
Let h(r) = 14*r**3 + 208*r**2 + 669*r + 453. Let o(j) = 4*j**3 + 52*j**2 + 167*j + 113. Let m(s) = -6*h(s) + 22*o(s). Let m(y) = 0. Calculate y.
-2, -1, 29
Let c(q) be the first derivative of -35*q**6/6 - 23*q**5 + 145*q**4/4 + 155*q**3/3 - 55*q**2 - 40*q - 2527. Let c(m) = 0. What is m?
-4, -1, -2/7, 1
Suppose -72*f - 14409 = -74025. Let l = 831 - f. Factor -3/5*p**5 + 3/5*p**l + 0 + 0*p - 3/5*p**4 + 3/5*p**2.
-3*p**2*(p - 1)*(p + 1)**2/5
Let f(g) = 26*g**2 - 6441*g - 10381260. Let l(w) = 43*w**2 - 12883*w - 20762528. Let d(p) = -5*f(p) + 3*l(p). Determine r so that d(r) = 0.
-3222
Let y(u) be the second derivative of -u**7/14 + 41*u**6/10 - 459*u**5/20 + 187*u**4/4 - 37*u**3 + 1207*u. Find s such that y(s) = 0.
0, 1, 2, 37
Let j(w) = -w**2 + 16*w - 60. Let k be j(10). Suppose k = -4*s + 3*q + 6, 0 = -2*s + q + 7 - 5. What is z in s - 5/8*z**3 - z**2 - 1/2*z - 1/8*z**4 = 0?
-2, -1, 0
Let l(s) = 2*s**2 + 30*s + 55. Let c be l(-13). Let k be (-1)/c*-2*17/34. Solve n - k - n**2 + 1/3*n**3 = 0.
1
Let l(y) be the first derivative of -y**3/3 + 35*y**2/2 - 96*y - 95. Factor l(j).
-(j - 32)*(j - 3)
Let o(k) be the first derivative of 2*k**5/35 - k**4/2 - 6*k**3/7 + 115*k**2/7 - 200*k/7 + 1218. Factor o(f).
2*(f - 5)**2*(f - 1)*(f + 4)/7
Let v be (6/8)/((312/128)/13). Let m(c) be the first derivative of -15 + 0*c - 8/5*c**5 + c**v - 1/3*c**6 - 9*c**2 + 8*c**3. Factor m(a).
-2*a*(a - 1)**2*(a + 3)**2
Let y(q) be the second derivative of 0*q**2 - 1/6*q**4 - 8*q + 4*q**3 - 6. Suppose y(r) = 0. Calculate r.
0, 12
Let v(h) be the second derivative of h**4/12 + 43*h**3/2 - 65*h**2 + 2485*h. Suppose v(f) = 0. Calculate f.
-130, 1
Let u(m) be the third derivative of m**6/96 - 7*m**5/20 - 61*m**4/32 - 47*m**3/12 - 2*m**2 + 1157*m + 3. What is h in u(h) = 0?
-1, 94/5
Let y(c) be the third derivative of 1/6*c**3 + 13/180*c**5 + 0*c + 29*c**2 - 11/72*c**4 - 1/72*c**6 + 0. Factor y(k).
-(k - 1)**2*(5*k - 3)/3
Let k(s) be the first derivative of -s**8/336 - s**7/42 - 5*s**6/72 - s**5/12 - 36*s**3 + 38. Let q(m) be the third derivative of k(m). What is x in q(x) = 0?
-2, -1, 0
Suppose 12 = 4*w - 0. Suppose 0 = -5*f + 5, -2*p + w*f + 3 = -0*p. Solve 3*g**2 - 29*g**p - 8*g + 11*g**3 + 14*g**3 + 9*g**2 = 0.
0, 1, 2
Let s be ((-128)/(-1520))/(1/10). Let c = s - 13/38. Determine z so that c*z**2 + 1/2*z - 1 = 0.
-2, 1
Let n(b) be the second derivative of b**7/112 - 79*b**6/80 - 9*b**5/160 + 239*b**4/32 - 79*b**3/8 + 2500*b - 1. Find k, given that n(k) = 0.
-2, 0, 1, 79
Let j(z) be the third derivative of -1/105*z**7 + 1/15*z**6 + z**3 + 112*z**2 + 0 - 1/15*z**5 + 0*z - 1/3*z**4. Factor j(a).
-2*(a - 3)*(a - 1)**2*(a + 1)
Suppose 5*o - 9*o - 5*t = -1373, 3*t + 996 = 3*o. Factor -333*x**3 - x**2 + o*x**3 - 40*x - 11*x**2.
4*x*(x - 5)*(x + 2)
Suppose o - 20 = 2*n, 5*n + 64 = 3*o - 0. Let s be 2*26/o - (-2)/(-2). Factor s*x**2 + 6/7*x**3 + 2/7*x**4 + 0 + 2/7*x.
2*x*(x + 1)**3/7
Find m, given that -680 - 2949*m**2 - 191121*m**4 - 232*m**3 - 2777*m + 95556*m**4 + 95561*m**4 = 0.
-40, -17, -1/2
Let y = -3/37208 - -55815/37208. Let -5/6*x**2 + y + 1/6*x**3 + 1/2*x = 0. Calculate x.
-1, 3
Suppose 17*t = 23*t + 9*t. Factor -1/5*j**2 + 1/10*j**4 + t + 1/10*j**3 + 0*j.
j**2*(j - 1)*(j + 2)/10
Factor -2*w - 20/7 + 2/7*w**3 + 8/7*w**2.
2*(w - 2)*(w + 1)*(w + 5)/7
Factor -1924/11*z + 2/11*z**2 + 462722/11.
2*(z - 481)**2/11
Let t be ((-36)/(-16))/(1/(-4)). Let r be -12*(-1 + 2 + t/6). Suppose -9 + r*c + 2*c**2 - 8*c**2 + 5*c**2 = 0. What is c?
3
Let z(n) be the first derivative of 10*n**6/3 - 29*n**5 + 35*n**4/4 + 195. Determine t so that z(t) = 0.
0, 1/4, 7
Suppose -101*b**2 + 18*b**3 - 833*b - 43*b**3 - 6*b**3 + 29*b**2 - 215*b**2 - b**4 = 0. What is b?
-17, -7, 0
Let z be (6/(-540))/((-6)/12)*2*3. Factor 0*t**2 + 4/15 - 2/5*t + z*t**3.
2*(t - 1)**2*(t + 2)/15
Let h = -209 + 212. Suppose 3 + 5*s - 2*s + 5*s - h - 4*s**2 + 32 = 0. What is s?
-2, 4
Suppose 1332*x**2 - 1300*x**2 - 495*x - 35*x**5 - 1270*x**3 - 440*x**4 - 1392*x**2 = 0. Calculate x.
-9, -11/7, -1, 0
Suppose -363 - 97*u**2 + 203*u**2 - 4173 - 103*u**2 + 282*u = 0. Calculate u.
-108, 14
Let l(o) be the third derivative of -o**8/840 + o**7/420 + o**6/45 - o**5/15 + 14*o**3 - 82*o**2. Let c(u) be the first derivative of l(u). Factor c(a).
-2*a*(a - 2)*(a - 1)*(a + 2)
Let t = -939977/12561 + -3/8374. Let h = t + 1799/24. Determine i, given that 1/4*i**3 - 1/8*i**4 - 1/4*i + h*i**2 + 0 = 0.
-1, 0, 1, 2
Let b = 285 + -287. Let q be 11*b/(-4) - (-10 + 15). Factor 1/4*n**2 - 3/4 - q*n.
(n - 3)*(n + 1)/4
Let o(q) = -q**3 + 9*q**2 + 17*q - 53. Let y be o(11). Let m be 1*(y/(-30) + -3). Let 3/5 - 3/5*p**3 - m*p**2 + 3/5*p = 0. What is p?
-1, 1
Let c = -900 - -900. Let g(k) be the first derivative of c*k - 3 - 23/30*k**4 + 16/15*k**2 + 2/25*k**5 + 16/9*k**3. Factor g(x).
2*x*(x - 4)**2*(3*x + 1)/15
Let f = 132 + -130. Let u(w) = 17*w**3 + 23*w**2 + 7*w - 5. Let s(y) = 290*y**3 + 390*y**2 + 120*y - 85. Let p(q) = f*s(q) - 35*u(q). Factor p(n).
-5*(n + 1)**2*(3*n - 1)
Let n = -316/571 + 12490/3997. Factor 156/7*z - n - 338/7*z**2.
-2*(13*z - 3)**2/7
Suppose -3*a + 9*s - 11*s = -5, 2*a - 10 = 2*s. Let r = -5 + 7. Let 21*y**2 + 7*y + 3*y**a + 6*y**r + 81 + 74*y = 0. Calculate y.
-3
Let d(i) be the second derivative of -i**4/138 - 4484*i**3/69 - 5026564*i**2/23 - 7049*i. Solve d(c) = 0.
-2242
Let r(l) be the first derivative of 153 - 36*l**3 + 4/5*l**5 - 4*l**4 - 64*l - 76*l**2. Factor r(x).
4*(x - 8)*(x + 1)**2*(x + 2)
Let b(q) be the second derivative of -q**4/12 + 29*q**3/6 + 1034*q. Factor b(y).
-y*(y - 29)
Suppose 4*n - 56 = 0, 3*v - 9*n + 0*n + 5*n = -50. Let b = -3/25 + 34/75. Factor 0*i**3 - b*i**4 - 1/3 + 0*i + 2/3*i**v.
-(i - 1)**2*(i + 1)**2/3
Suppose 2*i + 5*s + 42379 = 42298, 5*i + 24 = -2*s. Solve 30*a + 44 + 48/11*a**i + 2/11*a**3 = 0 for a.
-11, -2
Let b(a) = 346*a**2 + 11073*a + 34. Let z be b(-32). Suppose -7/6*w**4 + 8/3*w**z - 1/3*w**5 + 0 - 1/6*w**3 + 2*w = 0. Calculate w.
-2, -1, 0, 3/2
Let b(y) be the third derivative of -y**7/420 - 3*y**6/40 + 83*y**5/120 - 9*y**4/4 + 11*y**3/3 + 3044*y**2. Let b(q) = 0. Calculate q.
-22, 1, 2
Let q be ((-4)/(-3))/(3 + (-7)/3). Suppose 4*d = w - 2, w = 6*d - d + q. Solve -15*k - 3 + 18*k**2 - w - 3*k**3 + 5 = 0 for k.
0, 1, 5
Let p be 952*492/44608*(3/(-28) + (-1)/(-4)). Suppose 3/2 - p*n**2 + n - n**3 = 0. What is n?
-3/2, -1, 1
Let r = -14 - -13. Let t be r/1*(-6 - -4). Suppose t*b**2 - 175*b - 8 + 175*b = 0. What is b?
-2, 2
Solve -11*w - 2*w - w - 36 + 27*w**2 - 3*w**4 + 2*w + 0*w**4 = 0 for w.
-3, -1, 2
Suppose 0 = -531*z + 547*z. Let t(x) be the second derivative of z - 1/18*x**3 - 11*x + 0*x**2 + 1/72*x**4. Factor t(c).
c*(c - 2)/6
Suppose 5*p + 13 = 4*k, 2*k = 5*p + 2 + 7. Suppose 4*o = -c - 0*c + 4, -k*c + 3 = 3*o. Find s such that 0*s + 57*s**2 - 9*s**2 + c*s + 16*s + 20*s**3 = 0.
-2, -2/5, 0