 g(n).
2*(n + 2)**3/11
Suppose -a - 19 = -19. Let g be (a - 1)*936/(-182). What is r in 4/7*r**3 + 100/7 + 60/7*r - g*r**2 = 0?
-1, 5
Let p = 1949105/13 - 149931. Factor -6/13*d**3 + 2/13*d**4 - p*d + 6/13*d**2 + 0.
2*d*(d - 1)**3/13
Let g = -1/124 - -811/620. Let q be (-1)/2*(-114)/95. Factor 4/5*p**2 + 1/10*p**3 + q + g*p.
(p + 1)**2*(p + 6)/10
Find n such that -10369953/5*n - 21/5*n**3 + 2965254/5 - 5904*n**2 = 0.
-703, 2/7
Let g(v) be the first derivative of v**3/3 - 7*v**2/2 - 8*v + 324. Let g(b) = 0. Calculate b.
-1, 8
Let l(y) = -2*y**3 + 9*y**2 + 23*y + 38. Let f = 72 - 78. Let s(i) = -i**3 + 4*i**2 + 11*i + 18. Let n(o) = f*l(o) + 13*s(o). Factor n(v).
-(v - 2)*(v + 1)*(v + 3)
Let z(k) be the first derivative of k**5/5 - 103*k**4/3 + 5200*k**3/3 + 5408*k**2 - 60*k + 178. Let x(f) be the first derivative of z(f). Solve x(r) = 0.
-1, 52
Let v(g) be the second derivative of 7*g**4/12 + 5*g**3/6 - 9*g**2 - 19*g - 9. Solve v(o) = 0 for o.
-2, 9/7
Suppose 452/5*i - 992/5*i**3 - 108*i**2 + 64/5*i**4 - 64/5 = 0. Calculate i.
-1, 1/4, 16
Solve 18/5*x**4 - 2/5*x**5 + 0 + 54/5*x**2 - 10*x**3 - 4*x = 0.
0, 1, 2, 5
Let z(o) be the second derivative of 3*o**5/40 - 67*o**4/8 + 16*o**3 + 99*o**2 - 5499*o. Solve z(v) = 0 for v.
-1, 2, 66
Let -2/7*p**3 + 1550/7*p**2 + 299538/7 - 301086/7*p = 0. Calculate p.
1, 387
Let t(m) be the first derivative of -3*m**4/16 + 325*m**3/4 - 78729*m**2/8 - 79707*m/4 - 1488. Factor t(w).
-3*(w - 163)**2*(w + 1)/4
Let c(u) = 7*u**2 - 30*u + 188. Let n(h) = -4*h**2 + 30*h - 191. Let j(y) = -3*c(y) - 4*n(y). Solve j(i) = 0 for i.
-10, 4
Solve 90 + 23/4*w**4 - 1/4*w**5 + 141/2*w - 53/4*w**3 - 155/4*w**2 = 0 for w.
-2, -1, 3, 20
Suppose -708 - 3097 = -5*z. Let d = z + -2281/3. Find t such that 2/9*t**4 - 10/9*t**3 + 10/9*t - 8/9 + d*t**2 = 0.
-1, 1, 4
Suppose 26/3*n**4 - 908/3*n**2 + 2/9*n**5 + 628/9*n**3 - 70*n + 294 = 0. Calculate n.
-21, -1, 1, 3
Let c = -6050 + 6053. Let w(d) be the third derivative of 0*d + 1/15*d**c + 0 + 1/150*d**5 + 1/30*d**4 - 13*d**2. Find r such that w(r) = 0.
-1
Let r(m) be the third derivative of -1/14*m**4 + 65*m**2 + 4/105*m**5 - 8/735*m**7 + 1/588*m**8 + 0 + 1/105*m**6 + 0*m + 0*m**3. Determine i so that r(i) = 0.
-1, 0, 1, 3
Let t(b) be the third derivative of b**5/40 - 2*b**4 + 231*b**3/4 + 2*b**2 + 26*b - 10. Factor t(s).
3*(s - 21)*(s - 11)/2
Let q(j) be the third derivative of -j**6/20 + 5*j**5/12 - 7*j**4/6 + 2*j**3/3 - j**2 - 888. Solve q(b) = 0.
1/6, 2
Let b(w) be the first derivative of 3*w**4/4 + w**3 - 21*w**2 - 72*w + 1559. Suppose b(m) = 0. What is m?
-3, -2, 4
Let f(h) = 40*h**2 - 20*h - 6. Let w(n) = -27*n**2 - 33*n - 25*n + 4 + 71*n. Let o(l) = -5*f(l) - 7*w(l). Factor o(i).
-(i - 1)*(11*i + 2)
Let h(r) be the first derivative of r**4/3 - 14*r**3/3 - 36*r**2 - 68*r + 41. Let q(l) be the first derivative of h(l). Factor q(j).
4*(j - 9)*(j + 2)
Let k = 319313 + -319310. Factor -2/3*x - 2/3*x**k - 4 + 8/3*x**2.
-2*(x - 3)*(x - 2)*(x + 1)/3
Let b be (-6)/(-10 - 8)*(-1 + 1)/2. Let m(x) be the third derivative of 0 + b*x + 5/6*x**4 - 4*x**3 - 1/15*x**5 + 27*x**2. Factor m(a).
-4*(a - 3)*(a - 2)
Let m = -314794/3 + 106107. Let v = 1177 - m. Suppose v*f**3 + 4/3*f - 8/3*f**2 + 0 = 0. Calculate f.
0, 1
Solve -h**4 - 12163*h + 11*h**4 + 24964 - 314*h**3 - 10*h**4 + h**4 + 24333*h**2 + 61775*h = 0.
-1, 158
Let v(z) = 3*z**2 + 159*z + 308. Let j be v(-2). Let k be 3/18 - 3/(-6). Suppose k*l**j - 2/3*l - 4 = 0. Calculate l.
-2, 3
Let r(m) be the second derivative of -13445067*m**4/38 - 8468*m**3/19 - 4*m**2/19 + 524*m + 9. Find p, given that r(p) = 0.
-2/6351
Suppose 0 = -10*j - 2*j + 192. Factor -24*m + 12*m**3 + 31*m**2 + j*m**3 + 45*m**2.
4*m*(m + 3)*(7*m - 2)
Let 9/5*w**2 + 3/5*w**3 + 0 - 24*w = 0. What is w?
-8, 0, 5
Let j(k) be the second derivative of -2/3*k**3 + 0*k**2 + 42*k - 1/14*k**7 - 2/15*k**6 + 1/3*k**4 + 7/20*k**5 + 0. Let j(o) = 0. Calculate o.
-2, -1, 0, 2/3, 1
Let f(w) be the first derivative of -1/12*w**4 - 2 - 2/9*w**3 - 17/2*w**2 + 1/180*w**6 + 0*w**5 + 0*w. Let q(j) be the second derivative of f(j). Factor q(m).
2*(m - 2)*(m + 1)**2/3
Let x(a) be the third derivative of 0*a + 0*a**3 + 0 + 0*a**5 + 0*a**4 + 12*a**2 + 1/45*a**7 + 1/84*a**8 + 1/180*a**6. Factor x(v).
2*v**3*(v + 1)*(6*v + 1)/3
Let n(l) be the first derivative of -l**6/60 + 7*l**5/30 - 7*l**4/6 + 8*l**3/3 + 3*l**2/2 + 15. Let t(v) be the second derivative of n(v). Factor t(i).
-2*(i - 4)*(i - 2)*(i - 1)
Let r(g) be the first derivative of g**5/35 + 16*g**4/7 - 408. Solve r(m) = 0.
-64, 0
Let q(z) be the first derivative of -20 + 0*z + 0*z**2 - 6/25*z**5 + 8/15*z**3 + 1/15*z**6 + 0*z**4. Determine v so that q(v) = 0.
-1, 0, 2
Let y(f) = -73*f - 3. Let i be y(-1). Let w be (i/(-280))/((-2)/16). Determine l, given that 2/3*l**w + 0 + 0*l**3 - 2/3*l**4 + 0*l = 0.
-1, 0, 1
Let f = -105 - -150. Factor 19*a + f*a - 949*a**2 + 917*a**2 + 4*a**3.
4*a*(a - 4)**2
Let n = -207946/7 - -29774. Let f = n - 2332/35. What is v in -2/5 - 2/5*v**2 - f*v = 0?
-1
Let v = -137 - -961/7. Suppose -60 + 21 = -47*h + 196. Factor 24/7*w**4 - 8/7*w - 24/7*w**2 + 0 - 8/7*w**h - v*w**3.
-2*w*(w - 2)**2*(2*w + 1)**2/7
Factor 148*j**2 + 47771405 - 49*j**2 - 30910*j - 47*j**2 - 47*j**2.
5*(j - 3091)**2
Let b(d) be the second derivative of 8 + 4*d - 1/72*d**4 + 1/12*d**2 + 0*d**3. Factor b(y).
-(y - 1)*(y + 1)/6
Let s(g) be the first derivative of g**4/2 + 176*g**3/3 + 1645*g**2 - 26508*g - 3062. Factor s(a).
2*(a - 6)*(a + 47)**2
Factor 3*k**4 + 820*k**2 + 390*k**3 - 4008*k**2 + 396*k + 1146*k**2 + 1253*k**2.
3*k*(k - 1)**2*(k + 132)
Let g(x) be the second derivative of -x**6/90 - 3*x**5/2 - 89*x**4/36 + 667*x. Solve g(s) = 0.
-89, -1, 0
Suppose -5*l = 4*g + 4, -2*l = 4*g - 8 - 0. Suppose g*u = -3 + 15. Factor -15*w - 7*w + 2 + 21*w - u*w**2.
-(w + 1)*(3*w - 2)
Let i be -5 + (-107787)/(-126) + (-1200)/7200. Determine r, given that 190/7*r**3 + 65536/7 - 2/7*r**4 + 59392/7*r - i*r**2 = 0.
-1, 32
Let v(p) be the first derivative of -p**7/147 - p**6/21 + p**5/70 + 5*p**4/42 - 94*p - 87. Let t(o) be the first derivative of v(o). Let t(b) = 0. What is b?
-5, -1, 0, 1
Let s(z) = z**3 + 3*z**2 - 13*z - 132. Let b be s(5). Factor 144/13*r**2 + 264/13*r + 14/13*r**b + 64/13.
2*(r + 2)*(r + 8)*(7*r + 2)/13
Let j(i) = -2*i**3 + 4*i**2 + 16*i - 14. Let p(c) = -c**3 - 1. Suppose 8*t - 3*t + 2*v - 14 = 0, 3*v + 4 = 5*t. Let y(w) = t*p(w) + j(w). Solve y(u) = 0 for u.
-2, 1, 2
Let c = -94 + 96. Determine w, given that -2*w**c + 23 + 3 - 26 - 2*w = 0.
-1, 0
Let o(r) = 5*r + 4. Let l be o(-3). Let k(g) = -g**2 - 10*g + 13. Let y be k(l). Factor -2 - t + 4 + 4*t**y - 5*t**2 + 0.
-(t - 1)*(t + 2)
Suppose -48*q + 177 - 33 = 0. Let o(x) = 4*x**2 + 13*x - 54. Let y(i) = 12*i**2 + 40*i - 160. Let w(k) = q*y(k) - 8*o(k). Let w(t) = 0. What is t?
-6, 2
Let f be (-2)/(-1) - 10/(-20)*2. Suppose 9*k - 2*k - 5*k**f - 47*k - 25*k**2 - 5*k**2 = 0. Calculate k.
-4, -2, 0
Let b(g) = 9*g**2 + 39*g + 480. Let f(q) = 2*q**2 - 4. Let n(r) = b(r) - 6*f(r). Factor n(u).
-3*(u - 21)*(u + 8)
Let i(f) = -4*f**3 - 184*f**2 + 24. Let v(c) = -12*c**3 - 552*c**2 + 68. Let w(h) = -17*i(h) + 6*v(h). Factor w(u).
-4*u**2*(u + 46)
Let l be ((-1)/2)/((-20)/(110 + -30)). Determine q, given that -14/15*q**5 - 94/15*q + 116/15*q**4 + 36/5*q**3 - 152/15*q**l + 12/5 = 0.
-1, 2/7, 1, 9
Factor -2/7*k**2 - 8712/7 + 264/7*k.
-2*(k - 66)**2/7
Determine l, given that 0 - 2/5*l**4 - 94/5*l**2 - 36/5*l**3 - 12*l = 0.
-15, -2, -1, 0
Let q(k) be the second derivative of 2*k**7/21 - 436*k**6/21 + 44376*k**5/35 - 21280*k**4/3 - 92416*k**3/21 - 1253*k. Find c, given that q(c) = 0.
-2/7, 0, 4, 76
Let u(o) be the second derivative of o**9/22680 + o**8/3360 + o**7/1890 + 51*o**4/4 - 180*o. Let n(a) be the third derivative of u(a). Factor n(d).
2*d**2*(d + 1)*(d + 2)/3
Let x(s) be the third derivative of -2/105*s**7 - 6*s - 1/3*s**5 - 7/30*s**6 + 0 - s**2 + 7/6*s**4 + 4*s**3. Suppose x(a) = 0. What is a?
-6, -1, 1
Suppose 0 = -4*s + 2 + 10. Suppose -170*g = -167*g - 3*d - 15, 5*d = -5*g - 5. Factor 1/4*h**g + 9 + s*h.
(h + 6)**2/4
Let k(a) be the second derivative of 2*a**6/15 - 32*a**5/15 - 91*a**4/3 - 100*a**3 - 2551*a. Factor k(r).
4*r*(r + 3)**2*(3*r - 50)/3
Let x = -750/767 - -7517/6903. Factor 5/9