)**2*(h - 1)
Let v(c) be the second derivative of -1/30*c**6 + 7/20*c**5 - 25/2*c**3 + 0*c**2 + 5/12*c**4 + 0 + 84*c. Let v(m) = 0. Calculate m.
-3, 0, 5
Suppose 0 = 102*p - 935*p - 50*p - 49*p. Factor p*k + 0 + 2/3*k**3 + 4*k**2 - 2/3*k**4.
-2*k**2*(k - 3)*(k + 2)/3
What is y in -15/7*y**3 - 765/7*y + 702/7 - 3/7*y**4 + 249/7*y**2 = 0?
-13, 2, 3
Let s be (-8)/(-2)*1/2. Suppose -s*v = -3*w + 6, 5*w + 0*w - 29 = -3*v. Find g such that 2/13*g**v + 0*g**2 - 2/13*g + 0 = 0.
-1, 0, 1
Let w be ((-9)/19)/((-7479)/47367). Let 0*g - 3/8*g**2 - 3/8*g**w + 0 = 0. Calculate g.
-1, 0
Suppose 4*n**4 + 94*n**2 - 257*n**2 - 713*n**2 - 573 + 2245 + 772*n + 28*n**3 = 0. What is n?
-19, -1, 2, 11
Let f = 33516/5 - 6974. Let r = -270 - f. Factor -r*t**4 + 8/5*t**3 - 8/5*t + 4/5 + 0*t**2.
-4*(t - 1)**3*(t + 1)/5
Suppose 394/3*n - 796/3 + 2/3*n**2 = 0. Calculate n.
-199, 2
Let k(o) = -o**3 + 10*o**2 + 12*o - 3. Let a be k(11). Let d be 2/(-4)*(2 - a). Find p such that p**4 - 17*p + 3*p**2 + 9*p - p**d + 7*p - 2*p**3 = 0.
0, 1
Factor -604/5*k + 0 - 2/5*k**2.
-2*k*(k + 302)/5
Let p = 260 - 257. Solve 116*y + 920*y**4 - 21*y + 30 - 915*y**4 + 45*y**p + 105*y**2 = 0.
-6, -1
Let h = -4314 - -4318. Let n(o) be the first derivative of 1/24*o**3 - 3/16*o**2 - 1/8*o + 9 + 3/32*o**h. Let n(w) = 0. Calculate w.
-1, -1/3, 1
Let u(k) be the first derivative of 99/8*k**2 - 87 - 121/4*k + 7/4*k**3 + 1/16*k**4. Solve u(d) = 0 for d.
-11, 1
Let r(x) be the third derivative of x**6/60 - 331*x**5/30 - x**4/12 + 331*x**3/3 + 2*x**2 - 3394*x. Factor r(j).
2*(j - 331)*(j - 1)*(j + 1)
Let j(u) = 6*u + 132. Let q be j(-15). Suppose -3*r**3 + q*r**3 - 15*r**2 - 10*r - 44*r**3 = 0. Calculate r.
-2, -1, 0
Let k(r) be the third derivative of 480*r**3 - 10*r**4 + 167*r**2 + 0 + 0*r + 1/12*r**5. Factor k(t).
5*(t - 24)**2
Factor 106/5*l**2 - 33/5*l**3 + 0 - 72/5*l - 1/5*l**4.
-l*(l - 2)*(l - 1)*(l + 36)/5
Let w(b) = 18*b**2 + 2400*b + 2322. Let j(g) = -8*g**2 - 1200*g - 1168. Let y(c) = -5*j(c) - 2*w(c). Factor y(t).
4*(t + 1)*(t + 299)
Let v(z) = 5*z**4 + z + 4. Let u(a) = -a**3 + a + 4. Let d(q) = u(q) - v(q). Find p, given that d(p) = 0.
-1/5, 0
Let c(a) = -2*a**3 + 6*a**2 + 126*a - 396. Let n be c(-8). Factor -66/7*p**2 + 0 + n*p - 10/7*p**3.
-2*p*(p + 7)*(5*p - 2)/7
Let u be 657216/(-792) + (-4)/22. Let z be 249/u + 2/4. Factor 1/5*f**5 - 12/5*f - 3/5*f**4 + 4/5 + 11/5*f**2 - z*f**3.
(f - 2)*(f - 1)**3*(f + 2)/5
Let f(y) = -3*y**3 - 27*y**2 + 131*y - 170. Let b(o) = -o**3 - 14*o**2 + 67*o - 86. Let a(u) = 5*b(u) - 2*f(u). Determine p, given that a(p) = 0.
2, 5, 9
Factor -45433 + 70*u**2 + 15*u**2 + 45273 - 2715*u.
5*(u - 32)*(17*u + 1)
Determine d, given that -423*d - 126*d**4 + 54 + 12*d**5 + 1569/2*d**2 + 819/4*d**3 = 0.
-2, 1/4, 6
Factor -19013*c**3 - 18974*c**3 + 800 - 5*c**4 + 320*c - 390*c**2 + 38072*c**3.
-5*(c - 10)*(c - 4)**2*(c + 1)
Let t = -987885/4 + 246972. Let -t*a**2 - 9/4 + 3*a = 0. Calculate a.
1, 3
Let h be -7*34/(44506/(-51)). Let -h*b + 1/11*b**4 - 2/11 + 3/11*b**3 + 1/11*b**2 = 0. What is b?
-2, -1, 1
Factor 358/9*x**2 + 6*x**3 + 34*x + 0 + 2/9*x**4.
2*x*(x + 1)*(x + 9)*(x + 17)/9
Let k = 65 - 62. Suppose -3*n - x = -3 - 4, -4*x = -k*n + 2. Factor -3*l**2 - 6*l**n + 3*l**2 + 3*l**3.
3*l**2*(l - 2)
Let t = -11416 + 22833/2. Let -t*a**3 + 0 + 3/2*a + a**2 = 0. Calculate a.
-1, 0, 3
Let f(s) = s**3 - 37*s**2 - 352*s + 67. Let m be f(-8). Let y(a) be the second derivative of -15/4*a**2 - 5/6*a**m + 5/24*a**4 + 0 + 31*a. Solve y(o) = 0 for o.
-1, 3
Suppose -2/9*i**2 - 658/9 - 12*i = 0. Calculate i.
-47, -7
Let a be ((-2)/8)/(4 + -3)*(-27 + 25). Factor -a*k**2 - 2 + 2*k.
-(k - 2)**2/2
Let b = 30 + -48. Let m(r) = r**3 + 17*r**2 - 20*r - 26. Let f be m(b). Factor 4*s**2 - f*s - 6*s**2 + 58*s - 34*s.
-2*s*(s - 7)
Let z(h) be the second derivative of -h**7/105 + 7*h**6/60 - 83*h**2/2 - 6*h + 1. Let t(y) be the first derivative of z(y). Factor t(i).
-2*i**3*(i - 7)
Let x(z) be the first derivative of z**5/10 - z**4/2 - 8*z**3 - 28*z**2 + 91*z + 29. Let b(w) be the first derivative of x(w). Find y, given that b(y) = 0.
-2, 7
Let g(l) = 2*l**4 - 240*l**3 + 226*l**2 - 6. Let v(r) = -3*r**4 + 244*r**3 - 225*r**2 + 8. Let q(p) = -4*g(p) - 3*v(p). Factor q(m).
m**2*(m - 1)*(m + 229)
Suppose 6*t + 150 = 9*t. Factor -394*j**2 + 5*j**4 + 459*j**2 - 300*j + t*j**3 + 127 + 53.
5*(j - 1)**2*(j + 6)**2
Suppose -38*v - 21*v = 460*v - 16608. Find b, given that -20*b**2 - v - 152/3*b - 4/3*b**3 = 0.
-12, -2, -1
Factor -148*p - 33*p**2 - 12 - 7*p**3 - 17*p**2 + 13*p**2 + 96*p.
-(p + 2)*(p + 3)*(7*p + 2)
Factor -74*j - 4*j**2 - 14*j - 15*j**2 + 13*j + 22*j**2.
3*j*(j - 25)
Let h = -19791 - -1979127/100. Let f(n) be the second derivative of -n**2 + 1/30*n**6 - 9/10*n**3 + 1/12*n**4 - 16*n + 0 + h*n**5. Find k, given that f(k) = 0.
-5, -1, -2/5, 1
Suppose 5*x - 45 = g, 4*x + 4*g = 6*x. Let q = 203 - x. Let 4*p**2 - 185 - 4*p - 8*p + q = 0. What is p?
1, 2
Let c = -233 - -255. Factor 5 - 4*d + 7 + 38*d + c*d + 44*d**2.
4*(d + 1)*(11*d + 3)
Let o(i) be the second derivative of i**6/6 + i**5/2 - 165*i**4/4 - 500*i**3/3 - 250*i**2 - 3958*i. Factor o(p).
5*(p - 10)*(p + 1)**2*(p + 10)
Let g(v) be the third derivative of 0*v + 7/6*v**4 + 2*v**3 + 4/15*v**5 - v**2 - 6. Suppose g(i) = 0. Calculate i.
-1, -3/4
Let q(n) be the first derivative of 0*n**3 - 1/22*n**4 + 6/55*n**5 + 150 + 0*n**2 + 0*n. Factor q(c).
2*c**3*(3*c - 1)/11
Factor -1 - 3 + 5 + 4335*y**3 + 1663*y - 1444*y - 7 - 2244*y**2.
3*(5*y - 2)*(17*y - 1)**2
Suppose 4*j - 25*b = -26*b + 24, 0 = -2*j - b + 16. Factor -24/5*g**2 - 2/5*g**3 - 8/5*g + 2/5*g**j + 32/5.
2*(g - 4)*(g - 1)*(g + 2)**2/5
Let v(q) be the second derivative of -89*q - 1/8*q**5 - 5/8*q**4 + 20/3*q**3 - 15*q**2 + 0. Determine t so that v(t) = 0.
-6, 1, 2
Let n(m) = -14*m**2 + 53*m - 65. Let d(s) = 16*s**2 - 54*s + 62. Let a(t) = -5*d(t) - 6*n(t). Factor a(q).
4*(q - 10)*(q - 2)
Let o(l) = -34*l**2 - 32*l + 6. Suppose 0 = 8*g - 4 + 20. Let r(s) = -32*s**2 - 31*s + 7. Let q(c) = g*r(c) + 3*o(c). Factor q(w).
-2*(w + 1)*(19*w - 2)
Let r(h) be the second derivative of h**6/30 + 153*h**5/20 + 2601*h**4/4 + 44217*h**3/2 + 710*h. Suppose r(d) = 0. Calculate d.
-51, 0
Let i(t) be the first derivative of -1/16*t**4 - 85 + 0*t + 0*t**2 + 1/3*t**3. Factor i(y).
-y**2*(y - 4)/4
Let x(b) = 317*b - 948. Let y be x(3). Factor 0*t + 0 - 4/5*t**2 + 2/5*t**y.
2*t**2*(t - 2)/5
Let s(r) be the first derivative of -3*r**4/32 - 11*r**3 - 1245*r**2/16 + 4985. Determine n, given that s(n) = 0.
-83, -5, 0
Let n(i) be the third derivative of 0*i + 5/6*i**4 + 0 - 1/24*i**5 - 35/12*i**3 - 51*i**2. Factor n(l).
-5*(l - 7)*(l - 1)/2
Let u be -3 + 1 - (-7 + 2). Suppose -13 = -n - 2*i + 7*i, 4*i = u*n - 17. Factor -6*h - n*h**2 + 8 + 24*h - 23.
-3*(h - 5)*(h - 1)
Let i(n) be the third derivative of -1/20*n**5 - 5/6*n**3 + 1 + 2/3*n**4 + 0*n - 21*n**2. Determine r, given that i(r) = 0.
1/3, 5
Let b(v) be the third derivative of -2*v**5/165 - v**4/132 + v**3/11 + 452*v**2. Let b(f) = 0. What is f?
-1, 3/4
Let o(p) = 7*p**3 - 42*p**2 + 11*p + 6. Let d(b) = 20*b**3 - 118*b**2 + 33*b + 18. Let q(s) = 6*d(s) - 17*o(s). Determine y so that q(y) = 0.
-3, -2, -1
Let u be 3/(-84) - (-2)/56. Let b = -107/65 - -24/13. Factor -2/5*z**2 + 0 + b*z**3 + u*z.
z**2*(z - 2)/5
Let x(w) = w**3 + 124*w**2 + 478*w - 236. Let f be x(-120). Factor 2/11*p**4 - 40*p - f*p**3 + 282/11*p**2 + 200/11.
2*(p - 10)**2*(p - 1)**2/11
Let i(v) be the first derivative of -4*v**5/5 + 3*v**4 + 176*v**3 + 1312*v**2 + 3840*v + 6536. Factor i(q).
-4*(q - 15)*(q + 4)**3
Suppose -97*r = -87*r + 860. Let p = -86 - r. Suppose -2/3*o**2 + 2/3 + p*o = 0. Calculate o.
-1, 1
Factor 19/6*a + 1/3*a**2 + 0.
a*(2*a + 19)/6
Let a(z) = z**3 + 20*z**2 + 14*z - 80. Let g be a(-19). Find h, given that -456*h**2 - 2 - 5*h + 441*h**2 - 5*h**4 + 2 - g*h**3 = 0.
-1, 0
Let p(c) be the first derivative of -c**5/5 - 29*c**4/2 - 368*c**3/3 - 283*c**2 - 255*c - 6346. Factor p(a).
-(a + 1)**2*(a + 5)*(a + 51)
Let d(j) be the second derivative of -j**6/40 - 33*j**5/16 - 13*j**4 - 51*j**3/2 - 4*j + 72. What is g in d(g) = 0?
-51, -2, 0
Let i = 57 - 55. Factor 27283 + 40*n - 5*n**i - 27283.
-5*n*(n - 8)
Let k(u) be the second derivative of -u**7/6 - 11*u**6/10 + 31*u**5/20 +