/6*(-11136)/(-3248). Let o(q) be the second derivative of 0*q**2 + 0*q**3 - 1/5*q**5 + 2/3*q**4 - x*q + 0. Factor o(w).
-4*w**2*(w - 2)
Let x(r) = -r**3 - 47*r**2 - 256*r - 405. Let t be x(-41). Let b(i) be the first derivative of 4 + 23/3*i**3 - 5/4*i**4 - t*i**2 - 8*i. Solve b(a) = 0.
-2/5, 1, 4
Let t(n) be the second derivative of n**7/8820 + 13*n**6/2520 - n**5/30 - n**4/6 + 18*n**2 - 117*n. Let a(u) be the third derivative of t(u). Factor a(r).
2*(r - 1)*(r + 14)/7
Let i(c) be the second derivative of 31*c**4/12 + 25*c**3/6 - c**2 - 63*c. Let l(o) = 94*o**2 + 76*o - 7. Let h(g) = 11*i(g) - 4*l(g). Factor h(k).
-(k + 1)*(35*k - 6)
What is b in -6228*b - 1593/2*b**4 + 17034*b**2 + 192 - 11655*b**3 = 0?
-16, 2/59, 2/3
Let j(t) be the first derivative of -5*t**3/3 + 1805*t**2 - 3605*t + 2865. Factor j(k).
-5*(k - 721)*(k - 1)
Let x(l) be the third derivative of -l**5/270 - 371*l**4/54 + 743*l**3/27 + 333*l**2 - 1. Determine r, given that x(r) = 0.
-743, 1
Let w(q) be the second derivative of -1/21*q**7 + 0*q**2 + 0*q**3 - 1/6*q**4 + 0 + 1/10*q**5 - 2*q + 1/15*q**6. Let w(i) = 0. Calculate i.
-1, 0, 1
Factor 249*s**2 - 165/2*s + 87*s**4 - 3/2*s**5 - 252*s**3 + 0.
-3*s*(s - 55)*(s - 1)**3/2
Solve 539/4*q**2 + 111/2*q - 46 + 69/2*q**3 + 5/4*q**4 = 0.
-23, -4, -1, 2/5
Let m(p) be the second derivative of 299*p**4/66 + 2*p**3/33 - 2007*p. Find a such that m(a) = 0.
-2/299, 0
Let y(u) = u**3 - 435*u**2 + 4189*u - 10269. Let d(w) = -15*w**3 + 6957*w**2 - 67026*w + 164301. Let p(g) = -2*d(g) - 33*y(g). Solve p(v) = 0 for v.
5, 137
Factor -6486521*w - 939 + 160*w**3 + 3*w**4 - w**4 - 1317 - 2582*w**2 + 6491197*w.
2*(w - 12)*(w - 1)**2*(w + 94)
Let n(s) be the first derivative of 3*s**4/4 + 186*s**3 - 564*s**2 - 5891. Factor n(q).
3*q*(q - 2)*(q + 188)
Factor -6*o**3 + o**4 - 53*o**2 - 108*o + 59*o**2 - 42*o**2 + 9*o**3.
o*(o - 6)*(o + 3)*(o + 6)
Determine c, given that -1/4*c**5 - 25*c**2 + 0 - 2*c**4 + 57/4*c**3 + 13*c = 0.
-13, 0, 1, 2
Let r(x) = 15*x**4 + 35*x**3 + 540*x**2 + 1930*x. Let z(w) = 2*w**4 - w**3 - 2*w. Let j(y) = 2*r(y) - 14*z(y). Factor j(d).
2*d*(d + 6)*(d + 18)**2
Let g(r) be the second derivative of r**6/45 + 14*r**5/15 + 101*r**4/18 + 122*r**3/9 + 16*r**2 - 9*r + 52. Suppose g(y) = 0. What is y?
-24, -2, -1
Let u = -194 + -29. Let t = u - -391. Let -23*j**5 + t*j**3 - 19*j**5 - 12*j**4 - 352*j**2 - j**4 + 32 + 99*j**4 = 0. Calculate j.
-2, -2/7, 1/3, 2
Let i = -2/2029 - -24362/14203. Let w(y) be the first derivative of -3 - i*y + 3/7*y**3 + 3/28*y**4 + 0*y**2. What is o in w(o) = 0?
-2, 1
Suppose 500 - 310*k - 188 - 355*k**2 + 353*k**2 = 0. What is k?
-156, 1
Let z(i) be the third derivative of 2*i**2 + 49/10*i**5 + 9*i + 7/60*i**6 + 0 + 343/3*i**4 + 4802/3*i**3 + 1/840*i**7. Factor z(y).
(y + 14)**4/4
Let l = 1301 + -1297. Let s(h) be the second derivative of -17*h + 0 + 17/36*h**3 + 1/3*h**2 + 1/18*h**l. Factor s(x).
(x + 4)*(4*x + 1)/6
Let a(y) be the first derivative of y**5/30 - 2*y**4 + 37*y**3/3 - 76*y**2/3 + 43*y/2 - 1606. Let a(x) = 0. Calculate x.
1, 3, 43
What is z in -2511/4 + 3357/4*z - 849/4*z**2 + 3/4*z**3 = 0?
1, 3, 279
Factor -10/3*k - 308/9 + 2/9*k**2.
2*(k - 22)*(k + 7)/9
Let z be (-10)/8*(256 + 164 + -424). Suppose 3*h - 7 = 2. Determine u so that -4/5 + 6/5*u + 4/5*u**2 + 0*u**4 - 8/5*u**h + 2/5*u**z = 0.
-2, -1, 1
Let p(h) = 4*h**3 + h**2 + 6. Let v(s) = -98*s**3 + 3415*s**2 + 400*s - 434. Let f(w) = -7*p(w) - v(w). Find r, given that f(r) = 0.
-2/5, 2/7, 49
Let f(t) be the first derivative of -t**2 + 11/5*t**5 + 3/2*t**6 - 11/3*t**3 + 0*t + 60 - 7/4*t**4. Suppose f(u) = 0. Calculate u.
-1, -2/9, 0, 1
Suppose 4/7*l**2 + 0 - 316/7*l = 0. Calculate l.
0, 79
Let g(v) be the third derivative of v**6/60 - 7*v**5/18 + 13*v**4/9 - 20*v**3/9 - v**2 + 257*v. Let g(y) = 0. Calculate y.
2/3, 1, 10
Suppose 41204 = -114*o + 46904. Factor o*g + 1/2*g**3 - 10*g**2 + 0.
g*(g - 10)**2/2
Let o be 2916/(-2187) - 8/(-6). Factor 3/8*m**4 + o*m + 0 + 15/8*m**3 + 9/8*m**2 - 3/8*m**5.
-3*m**2*(m - 3)*(m + 1)**2/8
Factor 4/3*m + 0 - 2/9*m**3 - 2/9*m**2.
-2*m*(m - 2)*(m + 3)/9
Let s(f) = 4*f + 152. Let u be s(-30). Find x, given that -12 + 1 + 11 + 4*x**2 - u*x = 0.
0, 8
Let z(u) = u**3 - 20*u**2 - 27*u + 153. Let i be z(21). Suppose -2 = w - 2*l, 24*w = i*w + l - 1. Factor o - 3/2*o**2 + w + 0*o**3 + 1/2*o**4.
o*(o - 1)**2*(o + 2)/2
Let i(x) be the second derivative of -2*x**7/105 - x**6/30 + 2*x**5/15 + 46*x**2 + 16*x + 6. Let c(g) be the first derivative of i(g). What is q in c(q) = 0?
-2, 0, 1
Let h(r) be the first derivative of -r**4/6 - 2*r**3/3 + 26*r**2 + 160*r/3 - 3212. Factor h(f).
-2*(f - 8)*(f + 1)*(f + 10)/3
Let q(m) be the second derivative of -1 - 13*m - 1/6*m**3 + 1/6*m**2 + 1/12*m**4 - 1/60*m**5. Find z, given that q(z) = 0.
1
Suppose -886/5*f - 462/5*f**2 + 84/5 - 22/5*f**4 + 486/5*f**3 = 0. What is f?
-1, 1/11, 2, 21
Determine i so that 296 + 3468*i**5 + 2*i - 814*i**2 + 8*i - 688*i**3 + i - 3472*i**5 - 3*i - 166*i**4 = 0.
-37, -2, -1, 1/2
Solve 253*y + 35/2*y**3 + 140 - 1/2*y**5 + 265/2*y**2 - 5/2*y**4 = 0.
-5, -4, -2, -1, 7
Let x(w) = 3*w**2 + 7*w + 8. Let p be x(-6). Suppose -p - 21 = -5*u. What is g in 8 - u*g**2 - g**3 + 50*g**2 - 12*g - 25*g**2 = 0?
2
Suppose -84*i**2 + i**4 + 108 - 114*i - 13*i**3 - 130*i - 316 + 8*i**3 = 0. Calculate i.
-4, -2, 13
Find d, given that 0 - 2/7*d**3 - 132/7*d - 50/7*d**2 = 0.
-22, -3, 0
Let r = 11 + -18. Let a = -4 - r. Factor -a - 8 - 4*w**3 - 45*w + w**3 - 16 - 21*w**2.
-3*(w + 1)*(w + 3)**2
Suppose 5*d**2 - 12*d + 359 + 16*d - 67*d - 29*d - 203 + d**3 = 0. Calculate d.
-13, 2, 6
Let z(l) be the first derivative of l**3/9 + 17*l**2/2 + 98*l/3 - 129. Factor z(j).
(j + 2)*(j + 49)/3
Let x = -461 + 56. Let m be 4/(-15) + (-243)/x. Factor 0 - 1/3*t**2 + m*t.
-t*(t - 1)/3
Let 41*x - 22*x + 5*x**2 + 41*x - 3280 + 65*x = 0. What is x?
-41, 16
Let c = 59534 + -59534. Factor -1/12*y + c - 1/12*y**2.
-y*(y + 1)/12
Let o = 78843 + -78838. Factor 202/13*x - 50/13 + 212/13*x**3 + 2/13*x**o - 308/13*x**2 - 58/13*x**4.
2*(x - 25)*(x - 1)**4/13
Let c(p) be the first derivative of -21/2*p**2 - 1/27*p**3 + 0*p - 1/540*p**5 - 12 - 1/72*p**4. Let v(n) be the second derivative of c(n). Solve v(w) = 0.
-2, -1
Let r = -112 - -115. Let z(p) be the second derivative of 0*p**5 - 1/9*p**4 + 10*p + 0*p**r + 0 + 1/45*p**6 + 1/3*p**2. Find a such that z(a) = 0.
-1, 1
Let h(v) be the first derivative of -2*v**3 - 10*v**2 - 16*v + 2427. Solve h(n) = 0 for n.
-2, -4/3
Let h = -569543 - -569545. Factor -20/9*x**h - 2/9*x**4 + 0*x + 0 + 14/9*x**3.
-2*x**2*(x - 5)*(x - 2)/9
Let z(j) = 25*j**4 - 50*j**3 - 115*j**2 - 640*j + 30. Let m(v) = v**4 - 4*v**3 - 3*v + 1. Let h(f) = -30*m(f) + z(f). Suppose h(g) = 0. Calculate g.
-2, 0, 5, 11
Let v(k) be the third derivative of -1/60*k**5 - k**2 - 25/96*k**4 - 51*k + 0*k**3 + 0. Factor v(o).
-o*(4*o + 25)/4
Let n(g) be the first derivative of -g**3/33 - 1459*g**2/11 - 2128681*g/11 + 3242. Suppose n(y) = 0. Calculate y.
-1459
Let i(w) be the third derivative of -w**2 + 84*w - 1/330*w**5 + 1/33*w**3 + 0 + 0*w**4. Factor i(o).
-2*(o - 1)*(o + 1)/11
Let t = 34491333986/693 - 49771034. Let s = t - 22/63. Determine y so that -150/11*y**4 + 0 - 240/11*y**3 - 12/11*y + s*y**2 = 0.
-2, 0, 1/5
Let p(f) = -9*f - 7 + f**2 - 3 + 0 - 5. Let o be p(-6). What is z in -149 - 7*z - z + 4*z**2 + 62 + o = 0?
-1, 3
Let f(j) be the third derivative of 0 + 3/4*j**4 - 21*j**2 + 0*j**3 + 0*j - 1/20*j**5. Suppose f(o) = 0. Calculate o.
0, 6
Let p(k) = -2*k**4 + 7*k**3 + 7*k**2 - 2*k. Let f(b) be the second derivative of b**5/20 + b**4/12 - 50*b. Let t(a) = 5*f(a) - p(a). Solve t(m) = 0.
-1, 0, 1
Let x(p) be the first derivative of -p**3/4 - 507*p**2/8 - 501*p/2 + 845. Find r, given that x(r) = 0.
-167, -2
Let z(p) be the second derivative of -p**4/36 - 568*p**3/3 - 483936*p**2 - 8513*p. Factor z(w).
-(w + 1704)**2/3
Factor -2/11*p**2 + 0 + 0*p.
-2*p**2/11
Factor 150 + 44 - 393 + a**2 - 198*a.
(a - 199)*(a + 1)
Let g be (-2)/(6/450*-6). Factor 41*c**4 - 18*c**4 - g*c**4 - 8*c**3 + 32 + 32*c.
-2*(c - 2)*(c + 2)**3
Let n(k) = -10*k**2 - 5246*k + 2066. Let i(h) = 5*h - 3. Let y(l) = -68*i(l) + 2*n(l). Let y(o) = 0. Calculate o.
-542, 2/5
Let r(z) be the third derivative of -1 - 1/20*z**5 - 39/8*z