e ((-84)/(-63))/(((-4)/18)/(30/(-36))). Let s(u) be the third derivative of 15*u**2 + 1/72*u**4 + 0*u**3 + 1/180*u**t + 0 + 0*u. Factor s(o).
o*(o + 1)/3
Let a(x) = -x**2 + 5*x + 186. Let f(v) = -v - 7. Let c(k) = 3*a(k) + 24*f(k). Solve c(t) = 0 for t.
-13, 10
Let y = -348 - -351. Factor -960*p - 29*p**3 - 31*p**y + 545*p**2 + 768 + 3*p**4 - 149*p**2.
3*(p - 8)**2*(p - 2)**2
Let c be 0 + -3 - (1 - 745/20). Let r = -25 + c. Factor 7/4*x**2 - r*x - 5/2.
(x - 5)*(7*x + 2)/4
Let s be 111/18 + (-9)/54. Let c(f) = 4*f**3 - 20*f**2 - 8*f - 9. Let k(x) = 5*x**3 - 23*x**2 - 8*x - 10. Let g(i) = s*c(i) - 5*k(i). Let g(q) = 0. Calculate q.
-2, -1
Let v be 49043/(-152) + 4/32. Let o = -322 - v. Factor 8/19*l + 2/19*l**2 - o.
2*(l - 1)*(l + 5)/19
Let n(o) be the third derivative of -o**7/70 - 3*o**6/20 + o**5/20 + 15*o**4/4 - 53*o**2. Find i such that n(i) = 0.
-5, -3, 0, 2
Let r be ((-14)/4*((-2394)/98 - -24))/((-5)/(-5)). Let 3/2*p**2 + 1/2*p**5 + 0 - r*p**4 + 1/2*p**3 - p = 0. What is p?
-1, 0, 1, 2
Let z(d) be the third derivative of -d**8/252 + 446*d**7/315 - 6269*d**6/45 + 1246*d**5/5 + 6771*d**4/2 + 8214*d**3 + 3649*d**2. Solve z(b) = 0 for b.
-1, 3, 111
Let t(g) be the second derivative of -85/2*g**2 - 15*g**3 + 4*g - 5/12*g**4 - 1. Determine f so that t(f) = 0.
-17, -1
Let h(m) be the second derivative of -m**4/6 + m**3/3 + 132*m**2 + 1097*m. Factor h(j).
-2*(j - 12)*(j + 11)
Suppose 3*v - 8 = -588*w + 587*w, v = 3*w + 6. Find a such that 1/3*a**v + 8/3 - 2/3*a**2 - 4/3*a = 0.
-2, 2
Determine b so that -49298/3 - 1/3*b**3 + 104*b**2 - 8007*b = 0.
-2, 157
Let m(z) = 21574*z**2 + 6173*z - 122. Let w(j) = -21575*j**2 - 6174*j + 104. Let x(b) = 6*m(b) + 7*w(b). Let x(k) = 0. Calculate k.
-2/7, -2/3083
Let v(m) be the first derivative of -5*m**4/4 - 25*m**3 + 10*m**2 + 300*m + 6321. Solve v(o) = 0.
-15, -2, 2
Let 160/11 - 2/11*b**2 + 4/11*b = 0. What is b?
-8, 10
Let y(w) be the second derivative of -1/2*w**3 + 0 - 1/60*w**5 + 4*w**2 - 1/6*w**4 - 17*w. Let c(r) be the first derivative of y(r). Factor c(h).
-(h + 1)*(h + 3)
Let g(h) be the second derivative of 0 - 55*h - 13/60*h**5 - 1/6*h**4 + 10/9*h**3 + 4/3*h**2 + 1/18*h**6. Factor g(q).
(q - 2)**2*(q + 1)*(5*q + 2)/3
Suppose 0 = d + 4*s - 15, -2*s = -d + 3*s - 21. Let r be (-28)/(-28)*(1 + d). Determine u so that -3/2*u**5 + 0*u + r*u**2 + 0*u**3 + 0 + 3*u**4 = 0.
0, 2
Factor -39/2 - 11/3*b - 1/6*b**2.
-(b + 9)*(b + 13)/6
Let l(s) be the first derivative of s**5/20 + s**4/28 - s**2/2 + 143*s - 133. Let p(u) be the second derivative of l(u). Factor p(w).
3*w*(7*w + 2)/7
Let h(b) = -6*b**3 - 3*b**2 - 8*b - 2. Let i be h(-3). Suppose 0 = 5*s + v - 352, -7*v - i = -2*s - 2*v. Factor -2*u**2 - u**2 - s*u**4 + 35*u**4 - 21*u**3.
-3*u**2*(3*u + 1)*(4*u + 1)
Suppose 0 = -7*g + 82 - 61. Let h(r) be the second derivative of 0 + 0*r**2 - 1/15*r**g + 1/50*r**5 + 1/150*r**6 - 8*r - 1/60*r**4. What is u in h(u) = 0?
-2, -1, 0, 1
Let t be ((345/90)/23)/((-22)/24 - -1). Factor -1/4 + 20*q - 400*q**t.
-(40*q - 1)**2/4
Let s = -141869/2 - -70935. Let 0*o**3 + 1/2 - o**2 + s*o**4 + 0*o = 0. What is o?
-1, 1
Let -26/11*a**2 + 2*a + 8/11*a**3 - 4/11 = 0. Calculate a.
1/4, 1, 2
Factor -2/7*w**2 + 46/7*w - 180/7.
-2*(w - 18)*(w - 5)/7
Suppose 16*b - 11*b - 20 = 0. Suppose 5*d - b*g + 6 = 32, -3*g = 12. Factor 1/3*a**3 + a**d + 1/3 + a.
(a + 1)**3/3
Let z(c) be the third derivative of 5*c**7/14 - c**6/10 - 5*c**5/4 + c**4/2 + 1149*c**2. Factor z(v).
3*v*(v - 1)*(v + 1)*(25*v - 4)
Let w be (-44)/484*4/(-2). Factor -98/11*y + 0 + 28/11*y**2 - w*y**3.
-2*y*(y - 7)**2/11
Let n(d) = 14*d**3 + 92*d**2 - 161*d - 8. Let z be n(-8). Solve 14/19*j**3 + 68/19*j - 242/19*j**2 + z = 0 for j.
0, 2/7, 17
Let c(r) be the first derivative of r**5/10 - 13*r**3/3 - 12*r**2 + 90*r + 70. Let p(a) be the first derivative of c(a). What is b in p(b) = 0?
-3, -1, 4
Let a(o) be the first derivative of -51 + 5/9*o**3 - 20/3*o + 0*o**2. Determine v so that a(v) = 0.
-2, 2
Let h(o) be the second derivative of 0*o**4 - 3/14*o**5 - 9/14*o**2 + 3/70*o**6 + 0 + 5/7*o**3 - 182*o. Solve h(p) = 0 for p.
-1, 1/3, 1, 3
Solve 598*w**3 + 1188 + 387*w - 1587*w**2 - 101*w**3 - 485*w**3 = 0 for w.
-3/4, 1, 132
Let i(w) = -4*w - 4. Let a be i(-6). Let q = 3265 + -3217. Factor -5 - 11 + q*o + a*o**2 - 40*o**2.
-4*(o - 2)*(5*o - 2)
Let h(y) be the third derivative of -y**6/24 - 7*y**5/4 + 5*y**4/24 + 35*y**3/2 + 113*y**2 - 4*y. Factor h(z).
-5*(z - 1)*(z + 1)*(z + 21)
Suppose -4 + 5*m**3 + 3*m**2 + 83*m**4 - 38*m**4 - 44*m**4 - 11*m + 6*m = 0. What is m?
-4, -1, 1
Determine z so that 15*z**5 + 1539*z**2 + 597*z**4 + 2483*z**3 + 15*z**5 - 254*z**3 - 12*z**5 - 783*z = 0.
-29, -3, -3/2, 0, 1/3
Let p(y) be the third derivative of -y**8/84 + 572*y**7/105 - 19*y**6/2 + y**2 - 5*y + 3. Factor p(v).
-4*v**3*(v - 285)*(v - 1)
Let a(q) be the third derivative of 1/6*q**4 - 6*q + 0 + 1/60*q**5 - 2*q**3 + 3*q**2. Factor a(k).
(k - 2)*(k + 6)
Let d = 26524 - 26524. Let s(y) be the first derivative of 10/3*y**3 + d*y + 25/2*y**2 + 1/4*y**4 + 3. Find g such that s(g) = 0.
-5, 0
Let t be (3661/(-525) + 7)*5. Let u(f) be the second derivative of 2/5*f**5 + 5*f + 0 + 0*f**2 + 1/3*f**4 + t*f**6 + 0*f**3. Determine x, given that u(x) = 0.
-1, 0
Let 1644/19 - 554/19*d + 2/19*d**2 = 0. What is d?
3, 274
Let z(r) be the first derivative of -25 - 1/54*r**4 + 1/180*r**5 + 2*r + 0*r**2 + 1/54*r**3. Let k(n) be the first derivative of z(n). Let k(j) = 0. What is j?
0, 1
Suppose -2*g = 4*u - 16, 0 = 16*u - 19*u + g + 12. Factor -18*d**3 + 4*d - 2*d + d**u - d**2 + 0*d**4 + 9*d**3 + 7*d**3.
d*(d - 2)*(d - 1)*(d + 1)
Let t = -11 - -18. Suppose t*i - 12 = 5*i. Determine j, given that -5 + 12*j + i*j**2 - j**4 + 0*j**4 - 8*j + 0 - 4*j**3 = 0.
-5, -1, 1
Let v(k) = -k**2 + 3*k + 3. Let o be v(0). Let h be 3 + 2*(-1 + o). Factor -4*j**2 + h*j**3 - 8*j**4 - 6*j - j**3 + 12*j**4.
2*j*(j - 1)*(j + 1)*(2*j + 3)
Let m be (-754 - -730) + (-274)/(-11). Factor 4/11 - 14/11*g + m*g**2.
2*(g - 1)*(5*g - 2)/11
Let i(t) = -t - 21. Let r be i(-11). Let l be 1/r + 42/20. Factor -18/13*a**l - 8/13 - 40/13*a.
-2*(a + 2)*(9*a + 2)/13
Let f(y) be the second derivative of y**5/35 - 67*y**4/42 - 5*y**3 + 89*y + 34. What is l in f(l) = 0?
-3/2, 0, 35
Let p(f) be the second derivative of -140/3*f**3 - 490*f**2 + 715/12*f**4 + 3 - 11/6*f**6 - 2*f - 5/42*f**7 - 7/4*f**5. Determine m, given that p(m) = 0.
-7, -1, 2
Let y(k) = -12 - k**2 + 2*k - 8*k - 4*k - 5. Let v be y(-7). Determine a so that 7*a**4 - 5*a**5 - 22*a**4 - 2*a**2 + 3*a**v - 9*a**3 = 0.
-1, -2/5, 0
Let p(k) be the first derivative of -4/3*k**3 + 24*k**2 - 144*k - 41. Factor p(w).
-4*(w - 6)**2
Let q be 9/4*9/(108/24). Let o(g) be the second derivative of -g**4 + 11/2*g**3 + 0 + q*g**2 + 28*g. Find p, given that o(p) = 0.
-1/4, 3
Let v = 198 - 189. Suppose -30*m + 11*m + 9*m - 6 + 18*m**2 + 13*m + v*m**5 - 12*m**3 - 12*m**4 = 0. Calculate m.
-1, -2/3, 1
Let b(t) = 33*t**2 - 12*t - 5. Let k(i) = -46*i**2 + 18*i + 7. Let g(r) = 7*b(r) + 5*k(r). Solve g(y) = 0.
-6, 0
Let x(o) = o**3 - 47*o**2 + 46*o + 2. Let m be x(46). Factor 5*n**2 - n**m - 152*n - 10*n**2 + 4*n**2 - 2888.
-2*(n + 38)**2
Factor 2/9*g**2 + 0 - 20/9*g.
2*g*(g - 10)/9
Let l be 4 + -6 - 18/(-5). Let x be (-966)/460 + ((-5)/(-4))/(5/10). Factor 2*h - l*h**2 + x*h**3 - 4/5.
2*(h - 2)*(h - 1)**2/5
Let s(m) be the third derivative of -m**7/1260 + m**5/60 + m**4/8 + 7*m**3/3 - 49*m**2 + 1. Let i(y) be the second derivative of s(y). Factor i(z).
-2*(z - 1)*(z + 1)
Let j(c) = 23*c - 65. Let f be j(3). Determine b, given that -151*b**3 - 52*b**5 + 16*b**5 + 7*b - 86 - 309*b**f + 137*b**2 + 44 + 34 = 0.
-8, -1, -1/4, 1/3
Let m(z) = -29*z**2 + 1045*z + 3076. Let w(a) = -37*a**2 + 1046*a + 3071. Let i(p) = 5*m(p) - 4*w(p). Factor i(t).
3*(t + 3)*(t + 344)
Let z(r) be the third derivative of -r**5/80 - r**4 + 32*r**2 + 3*r. Determine q, given that z(q) = 0.
-32, 0
Let n be -2 + (4/(-4) - -17). Suppose 5*y - 3 = -g, 3*y + 20 = 2*g + n. Let 0*u**4 + y*u**2 + 2/21*u + 2/21*u**5 + 0 - 4/21*u**3 = 0. What is u?
-1, 0, 1
Factor -186/7 + 8*r + 2/7*r**2.
2*(r - 3)*(r + 31)/7
Suppose -w = -i - 4, 2*w + 10 = -4*i - 0*w. Let x(y) = y**3 + 2*y**2 - 6*y - 6. Let l be x(i). Factor -12 - 2*k**2 - l*k**2 - 4 + 20*k - 4.
-5