8415/7*g + 3/7*g**5 + 249/7*g**4 - 177147/7 = 0. Calculate g.
-27, -3, 1
Determine z so that 5*z**5 - 49*z - 246*z**4 - 46 - 136*z**3 - 2222*z**2 + 890*z**3 + 418*z + 3508*z**2 - 2122*z**2 = 0.
1/5, 1, 46
Let w(m) be the third derivative of -3*m**6/200 + 283*m**5/100 + 19*m**4/4 - 7*m**2 - 174*m. Factor w(z).
-3*z*(z - 95)*(3*z + 2)/5
Let u = -87 - -34. Let h = u + 55. Determine s so that 96*s**2 - 144*s**2 - 2*s**4 + 24*s**3 + 40*s - 12 - h*s**4 + 0*s**4 = 0.
1, 3
Let w(i) be the second derivative of i**7/462 + 4*i**6/33 - 21*i**5/55 + 93*i - 2. Find h such that w(h) = 0.
-42, 0, 2
Let f be -1 + (-3 - -4 - -2). Let m be 6/(-4) - 21*(-6106)/32508. Let 8/3 + m*t - 2/9*t**f = 0. Calculate t.
-1, 12
Let x(q) = -q**3 - 4*q**2 + q - 18. Let g be x(-5). Suppose -14*r**3 - 67*r - 7 + 0*r**5 + r**5 + 80*r + 5*r**4 + g*r**2 = 0. What is r?
-7, -1, 1
Let q(b) be the first derivative of 2*b**6/21 + 944*b**5/35 + 13444*b**4/7 - 75520*b**3/7 + 115200*b**2/7 + 1656. Factor q(k).
4*k*(k - 2)**2*(k + 120)**2/7
Let n be (24/(-9))/((-20)/15 + (-16)/(-32)). Factor -1/5*d**2 - n*d - 3.
-(d + 1)*(d + 15)/5
Let q = -7205446/135 - -53374. Let y = q - -2/27. Factor 2/5 - 2/5*o**3 - y*o**2 + 2/5*o.
-2*(o - 1)*(o + 1)**2/5
Let p = -149 - -152. Factor 29*g**5 + 15*g**p - 12*g**4 + 30*g**4 - 26*g**5.
3*g**3*(g + 1)*(g + 5)
Let s = -468 + 470. Find a such that 4*a**4 - 9*a - 4*a**3 + 74 - 22*a**2 + 2*a**s - 74 - 3*a = 0.
-1, 0, 3
Let o(y) = 22*y**5 + 20*y**4 - 57*y**3 + 22*y**2. Let n(h) = -3*h**5 + h**4 + h**2. Let j(u) = 35*n(u) + 5*o(u). Factor j(s).
5*s**2*(s - 1)**2*(s + 29)
Let g(s) = 2*s**3 + 22*s**2 + s - 9. Let c be g(-11). Let w be (110/c - -8) + -2. Solve 1/2 - k + w*k**2 = 0 for k.
1
Let i be 3/2*(-8)/(-4). Suppose i*l + 17 = 4*s, 2*s - 7*s + 4*l = -22. Suppose -10/11*w**s - 34/11*w - 12/11 = 0. What is w?
-3, -2/5
Suppose 0 = 17*t - 4*t - 52. Determine p so that -38 - 57*p - t*p**2 + 118 + 25*p = 0.
-10, 2
Suppose 8*o + 1 - 33 = 0. Let s(y) = -10*y**3 + 8*y**2 + 12*y + 9. Let g(t) = 9*t**3 - 7*t**2 - 12*t - 8. Let d(l) = o*s(l) + 5*g(l). Factor d(r).
(r - 2)*(r + 1)*(5*r + 2)
Let q(p) be the first derivative of 1/5*p**5 + 0*p + p**2 - 40 + 0*p**4 - p**3. Factor q(b).
b*(b - 1)**2*(b + 2)
Let b(q) be the first derivative of q**5/4 - 2085*q**4/16 + 2075*q**3/6 - 6873. What is g in b(g) = 0?
0, 2, 415
Let l be 2096/12 - 18/81. Let a = l + -174. Factor 4/9*t + 1/9*t**3 + a*t**2 + 0.
t*(t + 2)**2/9
Let y(w) be the first derivative of -2*w**3/9 + 398*w**2/3 + 1072*w + 8973. Determine u, given that y(u) = 0.
-4, 402
Let k(r) be the third derivative of -r**6/75 + 23*r**5/25 - 17*r**4/15 - 51*r**2 - r. Factor k(h).
-4*h*(h - 34)*(2*h - 1)/5
Let d(w) be the third derivative of w**6/36 + 7*w**5/60 + 9*w**3/2 + 36*w**2. Let g(a) be the first derivative of d(a). Factor g(m).
2*m*(5*m + 7)
Let z(g) be the second derivative of -g**5/210 + g**4/84 + 4*g**3/7 - 99*g**2/2 + g + 54. Let y(d) be the first derivative of z(d). Factor y(s).
-2*(s - 4)*(s + 3)/7
Let g(l) be the third derivative of 1058*l**7/105 + 13616*l**6/15 + 343288*l**5/15 - 30784*l**4 + 16224*l**3 - 11309*l**2. Solve g(x) = 0.
-26, 6/23
Suppose 3 - 105 = -2*t. Let a be (12/(-10))/(t/(-85)). Let -4*q**a + 0*q**3 - 3*q + 2*q**3 - q**3 - 2*q**3 = 0. Calculate q.
-3, -1, 0
Suppose -48491662 + 4224*o + 21540*o - 5*o**2 + 9016*o - 11990758 = 0. What is o?
3478
Let f(n) = -63*n**2 - 475*n - 367. Let w(c) = 33*c**2 + c + 1. Let u(h) = f(h) - w(h). Factor u(a).
-4*(a + 4)*(24*a + 23)
Let m(y) be the first derivative of -1/70*y**5 + 0*y**3 + 0*y**2 - 1/210*y**6 - 21*y - 1/84*y**4 - 9. Let p(v) be the first derivative of m(v). Factor p(q).
-q**2*(q + 1)**2/7
Determine h so that -32/3*h**4 + 0 + 1/3*h**5 - 940/3*h**2 - 1300/3*h + 109*h**3 = 0.
-1, 0, 10, 13
Let n(w) be the second derivative of w**7/84 + w**6/20 - w**5/8 - 5*w**4/8 + w**3/3 + 3*w**2 - 568*w. Determine b, given that n(b) = 0.
-3, -2, -1, 1, 2
Let w(p) be the third derivative of -p**7/70 + 11*p**6/40 - 37*p**5/20 + 45*p**4/8 - 9*p**3 - 38*p**2 - 9. Factor w(d).
-3*(d - 6)*(d - 3)*(d - 1)**2
Let w(c) be the second derivative of -136*c - 4/3*c**3 - 1/45*c**6 + 0 + 0*c**2 + 2/5*c**5 + 1/18*c**4. Find n, given that w(n) = 0.
-1, 0, 1, 12
Factor 10*q + 0 + 7/5*q**4 - 162/5*q**3 - 327/5*q**2.
q*(q - 25)*(q + 2)*(7*q - 1)/5
Let z = -156605 + 156607. Factor -2/9*x**z - 40/9*x - 200/9.
-2*(x + 10)**2/9
Let y(z) be the first derivative of 90*z**2 - 3267*z - z**3 + 566 + 9*z**2 - 434. Factor y(c).
-3*(c - 33)**2
Suppose -535*i + 534*i = h + 5, -5*i = -h + 37. Factor 2/13*r**4 - 6/13*r**3 - 2/13*r + 6/13*r**h + 0.
2*r*(r - 1)**3/13
Factor 0*v**2 - 24/5 + 4/5*v**3 - 28/5*v.
4*(v - 3)*(v + 1)*(v + 2)/5
Let x(v) be the third derivative of -v**6/120 + 2*v**5/3 + 83*v**4/24 + 7*v**3 - 1403*v**2. Suppose x(y) = 0. What is y?
-1, 42
Let h(c) = -c**3 + 20*c**2 - 70*c + 1913. Let g be h(21). Solve 0 - 2/3*r**g - 14/15*r**3 + 4/15*r = 0.
-1, 0, 2/7
Let h be 74/35 - (21052/59555 + 4/86). Factor 12/7 + 3/7*m**2 - h*m.
3*(m - 2)**2/7
Let b(i) be the second derivative of -i**8/11200 - i**7/700 + i**4/6 - 35*i**3/6 - i - 26. Let o(y) be the third derivative of b(y). Factor o(x).
-3*x**2*(x + 6)/5
Let l = -24491/87 - -8212/29. Factor -o**2 - 4/3 + l*o**3 - 4*o.
(o - 2)*(o + 1)*(5*o + 2)/3
Let v = -7/323 - -24239/646. Let h be 8*29/(261/18). Factor v*l**3 - 85/2*l**2 + h*l - 2.
(3*l - 1)*(5*l - 2)**2/2
Let h(b) be the first derivative of 5*b**4/14 - 944*b**3/21 + 653*b**2/7 - 372*b/7 - 1232. Factor h(d).
2*(d - 93)*(d - 1)*(5*d - 2)/7
Let p = 85041 - 85037. Factor 32/3*b**2 + 6*b**p - 8/3*b + 0 - 14*b**3.
2*b*(b - 1)*(3*b - 2)**2/3
Let w be 41 - (-33*(-24)/(-5016) - 260/38). Find y, given that 1/3*y**3 + 28*y - w - 16/3*y**2 = 0.
4, 6
Let f(v) be the first derivative of v**3/12 + 91*v**2/8 - 343*v/2 + 266. Let f(o) = 0. What is o?
-98, 7
Let n(v) = v**3 + v**2 + 18*v - 16. Let b be n(5). Let p = -219 + b. Factor 0*m**3 + 0 + 0*m + 3/4*m**4 + 1/4*m**p + 0*m**2.
m**4*(m + 3)/4
Let z(l) be the first derivative of -l**2 - 10*l - 20. Let i be z(-6). Factor -13*d**i + 16*d - 17*d**2 + 34*d**2.
4*d*(d + 4)
Suppose 2193/8*i + 3/8*i**3 + 1095/8 + 1101/8*i**2 = 0. Calculate i.
-365, -1
Factor 3 + 2*i**2 + 151/5*i.
(i + 15)*(10*i + 1)/5
Let r(w) be the second derivative of w**4/78 + 388*w**3/39 + 37636*w**2/13 - 930*w. Factor r(y).
2*(y + 194)**2/13
Let u(n) be the first derivative of -3*n**4/4 + 85*n**3 - 489*n**2/2 - 747*n - 1433. Factor u(o).
-3*(o - 83)*(o - 3)*(o + 1)
Let i(t) = -57*t + 7. Let r be i(-1). Determine p so that 420*p**5 - 186*p**2 + 356*p**4 + 12*p**2 - 304*p**3 - 2*p**2 + r*p = 0.
-1, -4/5, 0, 2/7, 2/3
Let x(d) be the second derivative of -d**7/840 - d**6/160 - d**5/80 - d**4/96 - 17*d**2 - d - 57. Let c(p) be the first derivative of x(p). Factor c(h).
-h*(h + 1)**3/4
Let t(w) be the second derivative of w**4/48 + 41*w**3/24 + 45*w**2/2 + w - 640. Let t(y) = 0. Calculate y.
-36, -5
Let n(x) = 20*x**5 + 18*x**4 - 30*x**3 - 22*x**2 + 10*x + 8. Let c(m) = m**3 - m**2 - m - 1. Let w = 35 - 36. Let i(t) = w*n(t) - 2*c(t). Solve i(k) = 0.
-1, -1/2, 3/5, 1
Let r(c) be the second derivative of -c**3/6 + 9*c**2/2 - 204*c. Let t be r(7). Factor 3/2*g**t + 12*g + 0.
3*g*(g + 8)/2
Find u, given that -9*u**4 + 108 + 33*u**3 - 254*u + 51*u**2 + 31*u**4 + 65*u - 3*u**4 - 22*u**4 = 0.
-3, 1, 12
Let s(h) be the third derivative of -1/8*h**4 + 3*h**3 - 14*h**2 - 1/20*h**5 + 0 + 0*h. Factor s(n).
-3*(n - 2)*(n + 3)
Let b(h) be the second derivative of -h**6/55 + h**5/10 - h**4/6 + h**3/33 + 2*h**2/11 + 1028*h + 1. Determine i, given that b(i) = 0.
-1/3, 1, 2
Let l(m) = -179*m + 11635. Let i be l(65). Let n(a) be the second derivative of i*a**2 + 18*a + 0 + 0*a**3 - 4/3*a**4 + 1/10*a**5. Factor n(z).
2*z**2*(z - 8)
Let v(f) be the third derivative of -f**6/1800 - 13*f**5/600 + 7*f**4/60 + 38*f**3 + 2*f**2 - 16. Let y(s) be the first derivative of v(s). Factor y(p).
-(p - 1)*(p + 14)/5
Suppose 5*i - 77 = -46*z, 15*i - 3 = -3*z + 14*i. Determine d, given that 229/2*d**3 - 239/4*d**4 + 6*d + 7*d**5 + 0 - 49*d**z = 0.
0, 1/4, 2/7, 2, 6
Let j(z) = -26*z**2 + 152*z + 26. Let o be j(6). Let g(f) be the first derivative of 5/3*f**3 - 15 + 10*f**o + 20*f. Find h such that g(h) = 0.
-2
Let s(b) = 8*b + 