*p**2.
(p - 3)*(p - 1)/2
Let v(n) be the third derivative of -7*n**5/180 + 5*n**4/2 + 26*n**3/9 + 9*n**2 - 6*n. Factor v(m).
-(m - 26)*(7*m + 2)/3
Let n(b) = 15*b**4 + 535*b**3 - 30*b**2 - 1630*b - 1085. Let m(t) = 7*t**4 + 268*t**3 - 15*t**2 - 816*t - 542. Let k(z) = -5*m(z) + 2*n(z). Factor k(g).
-5*(g - 2)*(g + 1)**2*(g + 54)
Let y(n) = n**3 - n**2 + 4*n - 3. Let t be y(2). Determine u so that -t*u + 12*u + 9*u - 8*u**2 + 8 = 0.
-1/2, 2
Let x be 30/(-90)*(-9)/12. Factor 1/4*b**2 + 1/2*b + x.
(b + 1)**2/4
Let n(r) = 10*r**5 - 20*r**4 - 22*r**3 + 4*r**2 - 4*r. Let p(l) = 2*l**5 + 2*l**4 + 2*l**3 + l**2 - l. Let x(g) = -n(g) + 4*p(g). Factor x(o).
-2*o**3*(o - 15)*(o + 1)
Factor -13/3*p - 5*p**2 - 7/3*p**3 - 4/3 - 1/3*p**4.
-(p + 1)**3*(p + 4)/3
Let x(c) be the second derivative of -6*c - 1/135*c**6 - 1/3*c**2 - 10/27*c**3 + 0 - 1/15*c**5 - 2/9*c**4. Factor x(v).
-2*(v + 1)**3*(v + 3)/9
Suppose -z - 9*z + 72 = 8*z. Factor z*n - 4/3*n**2 - 8/3.
-4*(n - 2)*(n - 1)/3
Determine j so that -1/4*j**3 - 31/4*j**2 - 56*j + 64 = 0.
-16, 1
Let j(r) = -8*r**2 + 5 + 1 - 2*r**4 - 6 + 26*r**3. Let s be (-3 + 4)/(2/(-10)). Let p(c) = -c**4 + 17*c**3 - 5*c**2. Let y(m) = s*j(m) + 8*p(m). Factor y(l).
2*l**3*(l + 3)
Let k(u) be the second derivative of -8*u**6/45 + 19*u**5/15 - 11*u**4/3 + 50*u**3/9 - 14*u**2/3 + 2*u + 7. Solve k(l) = 0 for l.
1, 7/4
Factor 1/10*g**4 + 2/5*g + 1/2*g**3 + 4/5*g**2 + 0.
g*(g + 1)*(g + 2)**2/10
Factor 80*q + 18 - 67 - 4*q**2 + 21 - 48.
-4*(q - 19)*(q - 1)
Let a(m) = -m + 3. Let t be a(0). Let l be (-29)/(-5) + (-48)/60. Suppose 0*o + 3*o**3 + 6*o**4 + 2*o - 2*o + t*o**l = 0. What is o?
-1, 0
Let v(h) be the second derivative of 2/3*h**4 - 4*h**2 + 1/5*h**5 + 0 - 13*h - 2/3*h**3. Factor v(g).
4*(g - 1)*(g + 1)*(g + 2)
Let n = 0 + 0. Let d = 9471/61477 + -1/4729. Solve n*i + 2/13 - d*i**2 = 0 for i.
-1, 1
Solve -1690*v**2 + 394*v**3 + 1760*v - 640 + 5*v**5 - 1671*v**4 + 1571*v**4 + 271*v**3 = 0 for v.
1, 2, 8
Suppose -4*u + 2*u + 3*f + 21 = 0, 4*f + 29 = 3*u. Let o = -102/5 - -729/35. Factor 0 - o*g**2 - 3/7*g**u + 0*g.
-3*g**2*(g + 1)/7
Let k(m) be the third derivative of -m**6/780 + 59*m**5/390 - 70*m**4/13 - 300*m**3/13 + 32*m**2. Factor k(b).
-2*(b - 30)**2*(b + 1)/13
Let d(g) be the second derivative of g**5/130 + 3*g**4/26 + 8*g**3/13 + 16*g**2/13 + 2*g - 83. Solve d(w) = 0 for w.
-4, -1
Let g(w) = w**4 + 1. Let t(c) = -5*c**5 - 10*c**4 - 130*c**3 - 170*c**2 - 105*c + 10. Let p(f) = -35*g(f) + t(f). Factor p(z).
-5*(z + 1)**4*(z + 5)
Let s(q) be the second derivative of 2/3*q**3 + 1/5*q**5 + 2/3*q**4 + 0 + 3*q**2 + 13*q. Let z(l) be the first derivative of s(l). What is g in z(g) = 0?
-1, -1/3
Let f be (-6)/15 + (66/(-15))/(-1). Determine s so that -745*s**3 - 590*s**2 - 40 + 447*s + 603*s**4 - 107*s + 405*s**5 + 27*s**f = 0.
-2, -1, 2/9, 1
Let v(r) be the first derivative of -1/4*r**2 + 10 + 1/2*r**3 + 0*r. Factor v(u).
u*(3*u - 1)/2
Find o, given that -6*o**5 + 32*o**2 - 5*o**5 - 222*o**4 + 131*o**3 - 16 - 14*o**5 + 152*o**4 - 52*o = 0.
-4, -2/5, 1
Suppose -1 - 60*r + 0 + 32 + r**2 + 21 + 7 = 0. Calculate r.
1, 59
Let i(q) = 2*q**2 - 12 + 7*q - 2 - q**2 - 22*q. Let c be i(16). What is p in -c*p**2 + 0*p**2 - 141*p**3 + 139*p**3 = 0?
-1, 0
Let 324/7*h**2 + 3/7*h**3 + 8415/7*h - 18150/7 = 0. What is h?
-55, 2
Let t(x) be the first derivative of -x**3/2 - 15*x**2/4 - 9*x - 128. Factor t(g).
-3*(g + 2)*(g + 3)/2
Let p(h) be the second derivative of 0*h**4 + 0*h**2 + 1/84*h**7 + 0*h**6 + 1/12*h**3 - 1/20*h**5 + 0 + 11*h. Factor p(s).
s*(s - 1)**2*(s + 1)**2/2
Let a be ((-1404)/(-60))/(3/20). Let k = a - 151. Factor -1 - 25/4*i**2 + k*i.
-(5*i - 2)**2/4
Let w = 2/2323 + 9282/11615. Factor -w*j + 8/5 - 4*j**3 - 32/5*j**2.
-4*(j + 1)**2*(5*j - 2)/5
Let w(y) be the second derivative of 1/18*y**4 + 0 + 17*y + 1/6*y**2 + 5/36*y**3 + 1/120*y**5. Factor w(h).
(h + 1)**2*(h + 2)/6
Let h(f) be the first derivative of -f**4/13 - 118*f**3/39 - 29*f**2/13 - 74. Factor h(v).
-2*v*(v + 29)*(2*v + 1)/13
Let r(l) be the first derivative of -1/4*l**6 + 3/4*l**2 - l**3 + 3/5*l**5 + 0*l**4 - 23 + 0*l. Find w such that r(w) = 0.
-1, 0, 1
Let z(c) be the first derivative of 2/3*c**3 + 36 - 4*c + c**2. Factor z(y).
2*(y - 1)*(y + 2)
Factor -70*y - 345*y**3 + 255*y**2 + 202*y**4 + 3*y**4 - 42*y**5 - 3*y**5.
-5*y*(y - 1)**3*(9*y - 14)
Let u(r) be the second derivative of r**6/45 - 29*r**5/30 + 281*r**4/18 - 979*r**3/9 + 242*r**2 + 3*r + 105. Let u(q) = 0. What is q?
1, 6, 11
Let g(q) = -q**2 - 16*q + 12. Let l be g(-16). Let x(z) = -z**3 + 12*z**2 - z + 15. Let b be x(l). Factor 4*h**2 - h**4 - 11*h**b - 2 + 11*h**3 - h**4.
-2*(h - 1)**2*(h + 1)**2
Let n(k) = -k**3 + 5*k**2 + 5*k + 6. Let f be n(6). Let c = 6481/3 - 2159. Factor 4/3*z + c*z**2 + f.
4*z*(z + 1)/3
Let x(h) be the second derivative of 22*h + h**3 + 0 - 1/2*h**7 - 1/4*h**4 - 9/4*h**5 - 19/10*h**6 + 0*h**2. Factor x(s).
-3*s*(s + 1)**3*(7*s - 2)
What is g in 9*g**2 - 11*g**4 - 25*g**3 - 8*g**5 + 22*g**3 - 9*g**4 + 11*g**2 - g**3 + 12*g = 0?
-3/2, -1, 0, 1
Factor -60*w**2 - 64*w - 18*w**3 - 212*w**2 + 14*w**3 + 621*w - w - 280.
-4*(w - 1)**2*(w + 70)
Let o(v) be the first derivative of -3*v**5/5 - 17*v**4/8 - 8*v**3/3 - 5*v**2/4 + 162. Determine a, given that o(a) = 0.
-1, -5/6, 0
Let f(k) be the first derivative of -k**4/12 + 10*k**3/3 - 50*k**2 - 3*k + 14. Let z(o) be the first derivative of f(o). Factor z(p).
-(p - 10)**2
Let s(d) = -706*d - 1412. Let r be s(-2). Let -4/3*t**2 + r + 0*t = 0. What is t?
0
Let z(g) be the third derivative of -g**5/30 + 5*g**4/6 - 25*g**3/3 + 254*g**2. Determine x, given that z(x) = 0.
5
Let d(q) be the first derivative of q**4/14 + 20*q**3/21 + 17*q**2/7 - 8*q - 574. Find r, given that d(r) = 0.
-7, -4, 1
Let m be ((-30)/(-6))/150 + 0. Let l(g) be the second derivative of 0 - g + 0*g**2 + 1/25*g**5 + 0*g**3 + m*g**4 + 1/75*g**6. Determine d so that l(d) = 0.
-1, 0
Factor 2*t**4 + 0*t - 4/7*t**3 + 0 - 6/7*t**5 + 0*t**2.
-2*t**3*(t - 2)*(3*t - 1)/7
Let o(g) be the third derivative of g**6/40 - 6*g**5/5 - g**4/8 + 12*g**3 - 362*g**2. Determine v, given that o(v) = 0.
-1, 1, 24
Let l be 4/(-22) + 665/209. Let 2685 - 185 + 2000*g + 600*g**2 + 41*g**3 - 8*g**l + 47*g**3 + 4*g**4 = 0. Calculate g.
-5
Let p(a) be the first derivative of -a**3/3 + a**2/2 + 12*a - 139. Suppose p(u) = 0. What is u?
-3, 4
Suppose 22*d = 24*d + 2. Let k(j) = -2*j**3 + 3*j**2 + j - 1. Let h be k(d). Factor 6/7*a**2 - h*a + 9/7*a**3 + 6/7.
3*(a - 1)*(a + 2)*(3*a - 1)/7
Suppose 3*f - 6 + 3 = -h, 5*h + 7 = -4*f. Factor -6*j**4 - 12*j**2 + 8*j**4 - 6 - f*j - 14*j.
2*(j - 3)*(j + 1)**3
Find p such that 0 + 14*p**2 + 1/3*p**3 + 0*p = 0.
-42, 0
Let s(d) = 11*d**3 + 94*d**2 + 752*d + 1176. Let y(w) = -42*w**3 - 375*w**2 - 3009*w - 4704. Let l(m) = -15*s(m) - 4*y(m). Find o, given that l(o) = 0.
-14, -2
Let p(b) = -b**3 + 6*b**2 + 8*b - 4. Let t be p(7). Let r(x) be the second derivative of 1/12*x**4 + 0*x**2 - 1/6*x**t + 5*x + 0. Find w such that r(w) = 0.
0, 1
Let w(x) be the second derivative of -2*x**2 + 0 - 5/6*x**3 + 7/12*x**4 - 21*x + 1/10*x**5. Suppose w(h) = 0. What is h?
-4, -1/2, 1
Suppose -3*l = -4 - 38. Determine n so that l*n**4 - 4*n**2 - 8*n**2 - 5*n**4 - 6 + 16*n - 7*n**4 = 0.
-3, 1
Suppose 3 = -8*j + 10*j + u, 3*u + 5 = j. Solve -2/3 + d - 1/3*d**j = 0 for d.
1, 2
Let x(b) = -3*b**3 + b**3 + 0*b**2 + 3*b**3 - b**2. Let n be (-4)/14 - (-9)/7. Let a(l) = 12*l**3 + 9*l + 3. Let i(m) = n*a(m) - 9*x(m). Factor i(h).
3*(h + 1)**3
Let a(g) = -g**3 + 4*g**2 + 13*g - 2. Let w be a(6). Solve -31*m**4 + 14*m**5 - 10*m**3 - w*m**2 + 20*m**4 - 4*m**3 + 15*m**4 = 0.
-1, -2/7, 0, 1
Suppose 5*i - 15 - 45 = 0. Factor 2*y**2 + 2*y + 8*y - 2*y**2 + i - 2*y**2.
-2*(y - 6)*(y + 1)
Let x(c) be the first derivative of c**8/840 + c**7/420 - 5*c**3/3 - 21. Let b(z) be the third derivative of x(z). Determine n, given that b(n) = 0.
-1, 0
Let r(y) be the third derivative of 0*y**7 + 0 - 2*y**2 + 0*y + 1/1008*y**8 - 1/90*y**5 - 1/90*y**6 + 1/24*y**4 + 1/9*y**3. Factor r(v).
(v - 2)*(v - 1)*(v + 1)**3/3
Let y(k) be the first derivative of 169*k**4 + 3848*k**3/3 - 616*k**2 + 96*k + 104. Factor y(c).
4*(c + 6)*(13*c - 2)**2
Let o = -18037/2393104 - 4/6503. Let w = o + 8865/4048. Factor -26/11*k**2 - 8/11 -