)*(g + 5)
Let u be (-3480)/261 + 19/((-190)/(-140)). Factor 86/3*a - u*a**2 + 88/3.
-2*(a - 44)*(a + 1)/3
Let v(l) be the first derivative of l**8/336 - l**7/168 - l**6/24 + l**5/24 + 5*l**4/12 - 54*l**3 + 168. Let y(h) be the third derivative of v(h). Factor y(a).
5*(a - 2)*(a - 1)*(a + 1)**2
Let n(u) be the second derivative of -81*u**2 + 0 - 1/6*u**4 - 58*u - 6*u**3. Factor n(x).
-2*(x + 9)**2
Find s, given that 1138/9*s + 36 + 2/9*s**5 + 92*s**3 + 172/9*s**4 + 1472/9*s**2 = 0.
-81, -2, -1
Find k, given that -12*k**2 + 11*k**2 + 5*k**2 - 3*k**2 + 47*k - k = 0.
-46, 0
Let h(y) = y + 1. Let q(c) = 29*c**2 - 206*c + 183. Let a(g) = -3*h(g) + q(g). Let d(z) = -7*z**2 + 52*z - 45. Let p(i) = 2*a(i) + 9*d(i). Factor p(o).
-5*(o - 9)*(o - 1)
Solve 475/3 - 1/6*x**2 - 185/6*x = 0 for x.
-190, 5
Let a = 14161 - 14158. Factor -98/5*x**4 + 0 + 88*x**2 - 64/5*x - 728/5*x**a.
-2*x*(x + 8)*(7*x - 2)**2/5
Let j(r) be the first derivative of 5*r**3/3 + 390*r**2 - 785*r - 1792. Determine f so that j(f) = 0.
-157, 1
Let s be (-206492)/(-2860) - (-7)/1. Solve 4/5*z**3 + 324/5 + s*z + 76/5*z**2 = 0.
-9, -1
Let l(z) be the first derivative of 0*z - 17/28*z**4 - 32/7*z**2 + 80/21*z**3 - 2 + 1/35*z**5. Factor l(o).
o*(o - 8)**2*(o - 1)/7
Suppose 6*d + 122 = 4*d. Let l = 65 + d. Find p, given that -4*p**5 - l*p**4 + 7*p**4 + 2*p**2 - 5*p**4 - 3*p**5 + 7*p**3 = 0.
-1, -2/7, 0, 1
Let o(t) be the third derivative of 31/1155*t**7 + 0*t**3 + 0 + 0*t**4 + 0*t + 0*t**5 + 1/1848*t**8 + 1/22*t**6 + 113*t**2. Factor o(u).
2*u**3*(u + 1)*(u + 30)/11
Let l(w) = -w**2 + 28*w - 145. Let b(h) = -6*h**2 + 168*h - 869. Let q(r) = 6*b(r) - 39*l(r). Factor q(i).
3*(i - 21)*(i - 7)
Suppose 4*v + 21 = -n, -2*v = -n - 4*v - 9. Let y(k) be the first derivative of -126*k**n - 243/4*k**4 - 90*k**2 - 24*k + 13. Factor y(w).
-3*(3*w + 2)**2*(9*w + 2)
Let y(s) be the second derivative of 0 + 18*s + 0*s**2 - 5/2*s**3 - 1/4*s**4. Factor y(r).
-3*r*(r + 5)
Suppose -2*c + 4*x = -56, -5*c + 97 = -5*x - 33. Factor c*t + 18*t**2 - 48*t**2 - 27*t**3 - 72*t**2.
-3*t*(t + 4)*(9*t - 2)
Let k(h) be the first derivative of -3*h**5/5 + 15*h**4 + 47*h**3 - 99*h**2 - 386. Solve k(i) = 0 for i.
-3, 0, 1, 22
Let y(h) be the third derivative of -h**5/15 + 409*h**4/2 - 2452*h**3/3 - 30*h**2 - 36*h + 2. Factor y(l).
-4*(l - 1226)*(l - 1)
Suppose 93 = -37*r + 6*r. Let s be (-10 - 15/r)*1 + 5. Factor -d + s + 1/3*d**2.
d*(d - 3)/3
Let l = 0 + 6. Let g be (2 - (-2)/4)*(-16)/(-20). Suppose 10*a**2 + 9*a**2 - 9 + l*a + 15*a**2 - 31*a**g = 0. Calculate a.
-3, 1
Let k(z) be the first derivative of 3*z**5/5 + 3*z**4 - 6*z**3 - 6*z**2 + 15*z - 367. Let k(n) = 0. Calculate n.
-5, -1, 1
Let t(p) = p + 17. Let l be (-4)/14 + (-164)/14. Let m be t(l). Factor -107*o**2 + 103*o**2 - 12*o**4 + 13*o**3 + 4*o**m - o**3.
4*o**2*(o - 1)**3
Let a(b) be the first derivative of -96*b - 8/3*b**3 - b**4 + 44 + 40*b**2. Factor a(v).
-4*(v - 2)**2*(v + 6)
Factor -2*z**2 + 92 - 46 + 76 - 120*z.
-2*(z - 1)*(z + 61)
Suppose -3*x + 2 + 4 = 0. Factor -13*r**x - 9 + 30*r + 11*r**2 - r**2 - 18.
-3*(r - 9)*(r - 1)
Let v be (28/6)/(8/(-84)). Let r = v + 52. Factor -4/11*b**2 + 0*b**r + 0 + 2/11*b - 2/11*b**5 + 4/11*b**4.
-2*b*(b - 1)**3*(b + 1)/11
Let v(w) = w**2 + 41*w - 507. Let b be v(10). Let t = -5 - -7. Let 4*q - 7*q + 3*q**b - 4*q**4 + q**4 + 3*q**t = 0. What is q?
-1, 0, 1
Suppose 0 = -65*d + 77*d + 720. Let z be (30/84)/(d/(-126)). What is b in z*b**3 + 0*b**2 + 0*b + 0 + 9/4*b**4 = 0?
-1/3, 0
Suppose 0 = -12*k - 34 + 70. Factor -80*o - 21 - 29*o**2 - 51 - 68*o - 51*o**2 - 4*o**k.
-4*(o + 1)**2*(o + 18)
Let i = 33347/6 + -16642/3. Factor 3/2*b**3 - 21/2 + i*b**2 - 3/2*b.
3*(b - 1)*(b + 1)*(b + 7)/2
Suppose 78*j + 48 = 48. Suppose 1/3*n**2 - 14/3*n + j = 0. Calculate n.
0, 14
Suppose z - 2*k + 15 = 5, -2*z - k = -10. Determine h so that -4/3 + 1/9*h**4 - 25/9*h - 13/9*h**z + 1/9*h**3 = 0.
-3, -1, 4
Let z(q) = 7*q**4 - 24*q**3 - 15*q**2 + 22*q + 5. Let v(p) = p**4 - 2*p**3 + p**2 - 2*p + 1. Let b(i) = 10*v(i) - 2*z(i). Solve b(j) = 0.
-2, 0, 1, 8
Let i(f) be the second derivative of f**7/140 - 109*f**6/2160 + 5*f**5/48 - f**4/72 + 145*f**3/3 - 84*f. Let r(x) be the second derivative of i(x). Factor r(u).
(u - 2)*(u - 1)*(36*u - 1)/6
Suppose 2*n - 1912 = 3*c, -1 = 5*c + 9. Let v = -566 + n. Determine q so that -393*q**3 + q**5 - 3*q + 0*q - 8*q**2 + v*q**3 = 0.
-1, 0, 3
Let s be 37/(-3219)*-29*(7/(-14) - (-2)/4). Factor 1/3*b**2 + 1/3*b**3 + s + 0*b.
b**2*(b + 1)/3
Let n(w) be the third derivative of -w**7/2100 + w**6/225 + w**5/25 - 73*w**3/6 - 6*w**2 - 7*w. Let p(a) be the first derivative of n(a). What is g in p(g) = 0?
-2, 0, 6
Let h(o) be the third derivative of -174*o**2 + 19/96*o**4 - 3/4*o**3 + 0 - 1/240*o**5 + 2*o. Factor h(u).
-(u - 18)*(u - 1)/4
Let v = -4528/3 + 1512. Let h(p) be the first derivative of -p**4 + 12 - 24*p + v*p**3 + 10*p**2. Factor h(i).
-4*(i - 3)*(i - 1)*(i + 2)
Let s(a) be the first derivative of -a**6/27 + 2*a**5/5 + a**4/3 - 92*a**3/27 - 23*a**2/3 - 6*a + 746. Determine r so that s(r) = 0.
-1, 3, 9
Suppose 50*z = 61*z. Let f be -1 - (z + -5 + 21/15). Find q such that -1/5*q**2 + 3/5*q**4 - 9/5*q - 4/5*q**5 - 2/5 + f*q**3 = 0.
-1, -1/4, 1, 2
Factor -3*w**2 - 4845*w + 269101668 - 269101668.
-3*w*(w + 1615)
Let w(x) be the second derivative of 1/30*x**5 + 86*x + 0 + 0*x**2 - 1/3*x**3 + 1/9*x**4. What is o in w(o) = 0?
-3, 0, 1
Factor -504/5 + 10*k**3 - 94*k**2 + 912/5*k.
2*(k - 7)*(5*k - 6)**2/5
Let v(g) be the second derivative of 22/5*g**6 + 5/2*g**4 + 0*g**2 - 7*g - 1/2*g**7 - 141/20*g**5 + 0*g**3 + 0. Suppose v(z) = 0. What is z?
0, 2/7, 1, 5
Let n(w) be the first derivative of -5*w**6/6 + 9*w**5 + 55*w**4/2 + 10*w**3/3 - 105*w**2/2 - 55*w + 1277. Factor n(y).
-5*(y - 11)*(y - 1)*(y + 1)**3
Let j(y) be the third derivative of -y**6/240 - 2*y**5/15 + 11*y**4/3 - 32*y**3 + 44*y**2 - 1. Factor j(d).
-(d - 4)**2*(d + 24)/2
Let r(t) be the third derivative of -1/60*t**6 - 1/2*t**4 + 3/20*t**5 + 2/3*t**3 + 0*t - t**2 - 47. Factor r(h).
-(h - 2)**2*(2*h - 1)
Let p(b) be the first derivative of -5*b**4/4 - 5*b**3/3 + 110*b**2 + 420*b + 1912. Factor p(x).
-5*(x - 7)*(x + 2)*(x + 6)
Let i be 31 + -24 + 2 + (-1 - 3). Suppose 0 = 2*f + 2*a + 2, -3*f - i*a - 9 = -0*a. Suppose -8*o**2 + 10*o**3 + 5*o**3 + 7*o**3 - f*o**3 = 0. What is o?
0, 2/5
Let p(s) = -183*s**2 - 2*s + 11. Let x(g) = -92*g**2 - g + 5. Let d(f) = 2*p(f) - 5*x(f). Let a be d(2). Factor -188*n + a*n + 4*n**4 - 191*n - 4*n**2 + 4*n**3.
4*n*(n - 1)*(n + 1)**2
Let j(c) = 9*c + 152. Let q be j(-8). Let i be -3*(550/q + -8). Find t, given that 3/4 + i*t**2 - 33/8*t = 0.
2/9, 1
Let s(j) be the first derivative of -j**4/2 + 32*j**3/3 - 64*j**2 + 1081. Suppose s(g) = 0. What is g?
0, 8
Suppose -7*y + 3*y + 8 = 0. Factor -d - d + 15 - d**y - 10 - 2*d.
-(d - 1)*(d + 5)
Factor 4*k**3 - 3*k**3 + k**3 + 216 - 108*k - 3*k**3 + 5*k**3.
4*(k - 3)**2*(k + 6)
Let j be (-4)/(-18) - 0 - 158/(-18). Factor -117*f - 114*f + 228*f - j*f**2.
-3*f*(3*f + 1)
Let p(m) be the first derivative of 0*m**2 - 8 - 1/25*m**5 + 0*m**3 - 1/5*m**4 + 16*m. Let g(o) be the first derivative of p(o). Factor g(z).
-4*z**2*(z + 3)/5
Let l(n) = n**2 - 4*n + 7. Let c be l(2). Let k(i) = i. Let d be k(c). Factor -33*j**3 + 15*j**2 - 6*j + 3*j**4 + 3*j**3 + 18*j**d.
3*j*(j - 2)*(j - 1)**2
Suppose 3*p - 103 = -4*b, 2*b = -34*p + 32*p + 54. Factor -78/5*u**2 - 10 + 18/5*u**3 + b*u.
2*(u - 1)*(3*u - 5)**2/5
Let w(x) be the second derivative of -x**4/60 - 221*x**3/30 - 954*x**2/5 + 3093*x. Factor w(o).
-(o + 9)*(o + 212)/5
Let q(w) = -2*w**3 - 13*w**2 + 9*w + 16. Let o be q(-7). Factor 3*i**o - 6*i**2 - 114 + 6*i + i**2 + 122.
-2*(i - 4)*(i + 1)
Let s(c) be the third derivative of -2*c**7/105 - 13*c**6/6 - 1021*c**5/15 + 407*c**4/2 + 1452*c**3 + 1567*c**2. Find u, given that s(u) = 0.
-33, -1, 2
Factor 17/7*n - 390/7 + 1/7*n**2.
(n - 13)*(n + 30)/7
Let c = -5/56 - -187/840. Let o(m) be the third derivative of 0*m**3 + 0*m**4 + c*m**5 + 1/6*m**8 + 10/21*m**7 + 0 + 0*m + m**2 + 13/30*m**6. Solve o(j) = 0.
-1, -1/2, -2/7, 0
Let v = -5590 - -5596. Let s(x) be the second derivative of -4/5*x**5 - 2/3*x**4 - 1/3*x**v - 1/21*x**7 + 20*x + 0 + 0*x**2 + 0*x**3. What is u in s(u) = 0?
-2, -1, 0
Let z(i) be the th