pose 68*f - 60*f = -56. Let x(m) = 7*m**3 - 5*m**2 - 15*m - 3. Let k(i) = -15*i**3 + 9*i**2 + 31*i + 7. Let y(r) = f*x(r) - 3*k(r). Factor y(z).
-4*z*(z - 3)*(z + 1)
Suppose 27 - 9 = 6*f. Suppose 0 = 2*x + f*c - 21, 4*x + 9*c - 37 = 4*c. Factor 30 - z**4 + z**x - 22 - 6*z**2 - 3*z**3 - 3*z**3 + 4*z.
-(z - 1)*(z + 2)**3
Let v be (9/12)/((-3)/144). Let f be (1 - (1 - 0))/2 - v. Determine w, given that 93*w**3 - f*w**2 - 192*w**3 - 24*w + 83*w**3 - 4 = 0.
-1, -1/4
Let r be 60/5 + (2 - 12). Let d = -3 - -3. Factor d*z**r + 19 + 16*z - 19 - 4*z**2.
-4*z*(z - 4)
Let r(c) = 4*c**4 + 294*c**3 - 303*c**2 - 593*c + 15. Let m(i) = -12*i**4 - 880*i**3 + 908*i**2 + 1776*i - 40. Let s(v) = -3*m(v) - 8*r(v). Factor s(x).
4*x*(x - 2)*(x + 1)*(x + 73)
Let f = 46 + -22. Suppose 11*y - f = -y. Factor -21*h**5 + 10*h**3 + 35*h**4 - 8*h**y + 41*h**5 + 3*h**2.
5*h**2*(h + 1)**2*(4*h - 1)
Let l(b) be the first derivative of 6*b**5/25 + 5*b**4 + 1034*b**3/45 - 60*b**2 + 216*b/5 - 1704. Factor l(j).
2*(j + 9)**2*(3*j - 2)**2/15
Let a(o) be the third derivative of o**5/40 - 773*o**4/16 - 387*o**3/2 + 58*o**2 - 11*o. Factor a(i).
3*(i - 774)*(i + 1)/2
Let x(t) be the first derivative of -2*t**6/21 - 7*t**5/5 + 351*t**4/7 + 3314*t**3/21 + 160*t**2 + 375*t/7 + 2908. Let x(b) = 0. Calculate b.
-25, -1, -1/4, 15
Let n(q) be the second derivative of q**6/40 - 5*q**5/4 - q**4/8 + 25*q**3/2 + 161*q**2/2 + 135*q + 2. Let i(y) be the first derivative of n(y). Factor i(u).
3*(u - 25)*(u - 1)*(u + 1)
Let l(h) be the third derivative of h**6/24 + 1495*h**5/4 + 11175125*h**4/8 + 16706811875*h**3/6 + 4*h**2 + 316. Factor l(v).
5*(v + 1495)**3
Suppose -1120 = 21*v - 1225. Let c(a) be the second derivative of 0*a**v + 2*a**2 + 10*a + 2/15*a**6 - 2/3*a**4 + 0 + 0*a**3. Suppose c(m) = 0. Calculate m.
-1, 1
Let d be 6/5*15/9. Let o be (19/d)/1*4. Let -21*h**3 + o*h**3 - 21*h**3 + 2*h + 2*h**5 = 0. What is h?
-1, 0, 1
Suppose -8*r + 16 = -0. Suppose 25*a - 4*a**r - 5*a - 63 + 87 = 0. Calculate a.
-1, 6
Let j = 758 - 1481/2. Suppose 45 = 5*y - 4*k, -1089*y + 1086*y - 5*k - 10 = 0. Factor 5/4*c**y + 15/2*c**4 + 45/4*c + j*c**3 + 20*c**2 + 5/2.
5*(c + 1)**4*(c + 2)/4
Let k be (-4090)/3272 + 25/12 + 14/12. Find d, given that 6/7*d + 4/7*d**k - 2/7*d**3 + 0 = 0.
-1, 0, 3
Let b be 170/(-425) + 362/5. Factor a + 30*a - b + 8*a - 4*a**2 - 3*a.
-4*(a - 6)*(a - 3)
Let i(k) be the first derivative of -k**4/18 + 10*k**3/27 + 22*k**2/9 + 32*k/9 + 2469. Factor i(n).
-2*(n - 8)*(n + 1)*(n + 2)/9
Let v be -2 + (-70)/25 + 6/(-30). Let y be 2/6 + v/((-120)/91). Let 3/4 - 39/8*i + y*i**2 = 0. Calculate i.
2/11, 1
Let c be 12/18 - (-9456)/(-14508). Let m = c - -2785/2418. Solve -1 - 1/6*p**2 - m*p = 0 for p.
-6, -1
Let r(y) be the first derivative of 5*y**4/12 + 70*y**3/3 + 135*y**2/2 + 129*y - 61. Let l(v) be the first derivative of r(v). Factor l(z).
5*(z + 1)*(z + 27)
Suppose -8*f - 6 - 122 = 0. Let m be -1 - (f/4 - -1). Suppose -8*r**2 + 11*r**m - 3*r - 9*r**2 - 3*r**3 = 0. Calculate r.
-1, 0
Let o(c) = -c**3 - 2*c**2 + c - 1. Let d(x) = 10*x**3 - 60*x**2 - 345*x - 355. Let g(b) = -d(b) - 5*o(b). Factor g(i).
-5*(i - 18)*(i + 2)**2
Let q(r) be the third derivative of r**5/20 - 43*r**4/12 + 67*r**3/6 + 22*r**2 + 5. Let x(b) = 2*b**2 - 57*b + 45. Let c(v) = 5*q(v) - 8*x(v). Factor c(s).
-(s - 25)*(s - 1)
Let i be 6/(-8) + (-35559)/12. Let p be -16*(-1)/(-3)*585/i. Factor p*k**2 + 4/19 + 18/19*k + 6/19*k**3.
2*(k + 1)*(k + 2)*(3*k + 1)/19
Let x = -147 + 149. Factor -r - 4*r**x + 23*r**4 - 53*r**4 + r**3 + 34*r**4.
r*(r - 1)*(r + 1)*(4*r + 1)
Let g be (580/240 - (0 - (-10)/6))/6. Let y(f) be the second derivative of -4*f + 0 - 1/12*f**3 - g*f**2 - 1/48*f**4. Determine x so that y(x) = 0.
-1
Let b be -20 - 10*8/(-8). Let p be (b - -2)*35/(-140). Determine v, given that 9/5*v + 12/5 - 3/5*v**p = 0.
-1, 4
Let r be ((-2)/(-32) - (-1702)/10656) + (-15)/108. Let i(n) be the first derivative of r*n**3 + 0*n + 1/4*n**2 - 1/20*n**5 - 4 - 1/8*n**4. Factor i(p).
-p*(p - 1)*(p + 1)*(p + 2)/4
Let f be 1 - (-24)/15 - (-20 - -1 - -20). Let b(h) be the first derivative of -1 - f*h**3 - 128/5*h - 1/10*h**4 - 48/5*h**2. Factor b(r).
-2*(r + 4)**3/5
Let t = -866 + 872. Suppose -t*b + 99 = 99. Determine n so that -16/5*n**4 + 26/5*n**3 - 12/5*n**2 + 0 + b*n + 2/5*n**5 = 0.
0, 1, 6
Let s = 286 + -280. Let y(d) be the third derivative of 0 - 11/72*d**4 + 0*d + 13/180*d**5 - 1/90*d**s + 1/9*d**3 + 15*d**2. Factor y(a).
-(a - 2)*(a - 1)*(4*a - 1)/3
Suppose -y - 3*q + 3 = 3*y, 0 = q + 3. Suppose -9*z - 8 = -35. Solve -2*l**y - 3*l + 10 - 11 - 3*l**2 + 0*l**z + l**3 = 0 for l.
-1
Find q, given that 29*q**4 - 236*q**3 - 32 + 304*q + 14*q**4 - 9*q**4 + 24*q**2 + 10*q**4 + 32*q**4 = 0.
-1, 2/19, 2
Let r(o) = -2*o**3 + 32*o**2 - 242*o + 3876. Let n be r(16). Solve -22/3*j**3 + 2/3*j**5 + 12*j**2 + 0 - 16/3*j + 0*j**n = 0 for j.
-4, 0, 1, 2
Let i(z) = -z**4 + 3*z**3 - z - 3. Let v(f) = 4*f**4 + 16*f**3 - 134*f**2 + 180*f - 54. Let m(s) = 6*i(s) + v(s). Find c such that m(c) = 0.
1, 3, 12
Suppose -l + f = -4, 0 = 2*l + f + 2*f - 33. Let a be l - 4/(-24)*-42. Solve 4/9*g - 2/9*g**a - 2/9 = 0 for g.
1
Let v(a) = 9*a - 7*a**2 - 2 + 6*a**2 - 8*a. Let h(t) = -11*t**2 - 17*t - 18. Let w(b) = -2*h(b) + 18*v(b). Factor w(x).
4*x*(x + 13)
Let b(a) be the third derivative of a**5/40 - 311*a**4/8 - 312*a**3 + 12*a**2 - 62. Let b(n) = 0. What is n?
-2, 624
Let n(b) be the first derivative of -b**4/6 - 19*b**3/3 - 18*b**2 + 170*b - 58. Let d(x) be the first derivative of n(x). Factor d(m).
-2*(m + 1)*(m + 18)
Suppose -111*r - 63*r = -217 - 479. Factor -4/3*s**2 + 16/3*s - r.
-4*(s - 3)*(s - 1)/3
Determine k so that -5684/11*k + 2/11*k**2 + 4038482/11 = 0.
1421
Let t(b) = 95*b**2 + 545*b + 765. Let l(i) = 11*i**2 + 60*i + 85. Let d(k) = -35*l(k) + 4*t(k). Factor d(w).
-5*(w - 17)*(w + 1)
Suppose 3*d = 54, 4*f + 70 = 28*d - 23*d. Determine k, given that -14/9*k**f - 8/3 + 94/9*k**3 - 80/9*k - 2*k**4 + 14/3*k**2 = 0.
-3, -1, -2/7, 1, 2
Let r be (-28)/5 - (-66 + 60). Let h(g) be the first derivative of 17 + 2/5*g**3 - 1/10*g**4 + r*g - 3/5*g**2. Solve h(v) = 0.
1
Let g = -24 + 93. Suppose -g = -8*q + 7*q. Factor -28*t**2 + 31*t + t - 13 + 4*t**3 + q + 8.
4*(t - 4)**2*(t + 1)
Let r(m) be the third derivative of m**6/780 + 248*m**5/65 + 46128*m**4/13 - 32*m**2 + 9*m - 4. Factor r(w).
2*w*(w + 744)**2/13
Let s(m) = 2497*m - 2495. Let r be s(1). Factor -1/2*q**4 + 7*q**3 + 42*q - 61/2*q**r - 18.
-(q - 6)**2*(q - 1)**2/2
Let v be (24/(-21))/((-258)/5117). Let k(j) be the first derivative of -44*j**2 - v*j**3 - 32*j - 3*j**4 - 1. Solve k(y) = 0.
-4, -1, -2/3
Let m(c) = 3*c**3 + 2934*c**2 - 956484*c + 103937922. Let x(j) = 2*j**3 - 2. Let s(b) = -m(b) + 3*x(b). Suppose s(v) = 0. What is v?
326
Let w = 775 + -772. Factor 21*r**w + 14*r**4 + 24*r**2 + r**5 - 7*r**3 + r**5 + 18*r**3.
2*r**2*(r + 2)**2*(r + 3)
Let j = 158490 - 158488. Factor -348*f**j - 8211/2*f - 1587 - 15/2*f**3.
-3*(f + 23)**2*(5*f + 2)/2
Let d be (16 + -13)/((-3155)/(-290) - 10). Determine w so that 2/17*w**3 + 4/17*w**2 + 0*w - 56/17*w**5 + 0 - d*w**4 = 0.
-1, -2/7, 0, 1/4
Let c(s) be the second derivative of 1/135*s**6 + 0*s**4 - 1/45*s**5 + 1/189*s**7 + 0*s**2 + 0*s**3 - 8 + 2*s. Determine l so that c(l) = 0.
-2, 0, 1
Suppose -56 - 70 = -9*g. Let s be (-4)/g + (-1116)/(-1260). Factor 0 - 3*z**4 - 27/5*z**3 - 21/5*z**2 - 6/5*z - s*z**5.
-3*z*(z + 1)**3*(z + 2)/5
Let l(u) = 3*u + 31. Let n be l(-9). Factor n*j - 10 + 9*j - 5*j**2 + 2*j.
-5*(j - 2)*(j - 1)
Let y(g) = 3*g - 1. Let d be y(3). Let o be 6*(-1 - d/(-6)). Factor 35*x**o - 4*x + x**3 + 8 + 3*x**3 - 43*x**2.
4*(x - 2)*(x - 1)*(x + 1)
Let c(g) be the first derivative of 11*g**3/2 - 2226*g**2 - 810*g - 3248. Suppose c(r) = 0. Calculate r.
-2/11, 270
Suppose 27585*h**2 + 50*h**4 - 254*h - 27079*h**2 - 250*h**3 - 52*h**4 = 0. What is h?
-127, 0, 1
Factor 2/7*o**2 + 1361250/7 + 3300/7*o.
2*(o + 825)**2/7
Factor 328*a**3 - 89*a - 45 - 164*a**3 - 163*a**3 - 25*a**2 - 18*a**2.
(a - 45)*(a + 1)**2
Let b(x) = -x**2 - x - 1. Let f(d) be the second derivative of -13*d**4/12 + 49*d**3/6 - 2*d**2 - 8*d + 5. Let s(v) = 2*b(v) + f(v). Factor s(t).
-(t - 3)*(15*t - 2)
Let r(u) be the second derivative of u**8/11760 - u**7/882 - 2*u**6/315 + 2*u**5/35