 + 1534*r + 4608. Let t(d) = -5*d**3 - 107*d**2 - 1533*d - 4608. Let a(k) = 2*t(k) + 3*z(k). Factor a(s).
2*(s + 4)*(s + 24)**2
Suppose -9*i - 13 - 5 = 0. Let x be (2 - 5)/(3/3 + i). Determine g, given that 14/11*g**2 - 30/11*g + 18/11 - 2/11*g**x = 0.
1, 3
Let q be ((-3)/(-3))/(182/35 + -5). Let h(v) be the first derivative of 0*v**2 + 0*v - 3/16*v**4 - 3/20*v**5 - 1/24*v**6 - 1/12*v**3 - q. Factor h(r).
-r**2*(r + 1)**3/4
Suppose 0 = -4*b - 4*h + 24, 11*b - 12*b + 18 = 5*h. Let a(q) be the first derivative of -8*q**2 - 4/3*q**b - 12*q - 5. Factor a(x).
-4*(x + 1)*(x + 3)
Let h(w) be the first derivative of 0*w**2 + 3/7*w**3 + 36 + 0*w + 3/4*w**4 + 1/14*w**6 + 3/7*w**5. Factor h(k).
3*k**2*(k + 1)**2*(k + 3)/7
Let x(h) be the first derivative of 5/9*h**3 + 5*h**2 + 25/3*h - 4. Factor x(g).
5*(g + 1)*(g + 5)/3
Let h be (-11)/(-9) - 7/(63/2). Let d(o) = o**2 - o. Let u(s) = -4*s**2 + 8*s - 4. Let b(v) = h*u(v) + 3*d(v). Factor b(l).
-(l - 4)*(l - 1)
Let p(a) be the third derivative of -15*a**5/4 - 115*a**4/24 - 5*a**3/3 - 2*a**2 + 40. Solve p(m) = 0.
-2/5, -1/9
Let g(o) be the third derivative of o**8/84 - 8*o**7/105 - o**6/15 + 8*o**5/15 + o**4/6 - 8*o**3/3 + 8*o**2 - 7. Suppose g(u) = 0. Calculate u.
-1, 1, 4
Let w(p) = p**4 - p**3 - p**2 - p - 1. Let t(n) = 10*n**4 - 11*n**2 - 3*n**4 - 9*n - 2 - 8 - 1 - 17*n**3. Let o(h) = 2*t(h) - 22*w(h). Factor o(b).
-4*b*(b + 1)**2*(2*b - 1)
Let r be ((120/(-18))/(-5))/((-4)/(-6)). Let 15*q**2 - 6*q - 2 + q + r = 0. Calculate q.
0, 1/3
Let s(d) = d**2 + 450*d - 4598. Let b be s(10). Factor 1 + 1/4*r**3 + 5/4*r**2 + b*r.
(r + 1)*(r + 2)**2/4
Suppose 13 = 5*y - 2. Suppose 0*w - p + y = -2*w, 2*p - 6 = 5*w. Factor 0 + 0*c**2 - 2/9*c**5 + 4/9*c**3 - 2/9*c + w*c**4.
-2*c*(c - 1)**2*(c + 1)**2/9
Let i = -164716/9 + 18308. Determine v, given that 62/9*v**2 - 8/9 - 16/9*v**3 - i*v = 0.
-1/8, 2
Let -16 + 18*r + 1/2*r**3 - 6*r**2 = 0. Calculate r.
2, 8
Let n(u) be the first derivative of 5*u**4 - 2408*u**3/3 + 36480*u**2 - 28800*u - 476. Let n(r) = 0. What is r?
2/5, 60
Solve 1/6*h**5 + 0*h**3 - 1/6*h + 0 + 1/3*h**4 - 1/3*h**2 = 0 for h.
-1, 0, 1
Let p be -4 + -9 + 7 + 6. Suppose -3/2*v**2 - 7/6*v**3 + p - 1/3*v = 0. Calculate v.
-1, -2/7, 0
Let l = -39 - -11. Let z = l - -86/3. What is c in -z*c**3 + 0 + 0*c**2 + 2/3*c = 0?
-1, 0, 1
Let k(r) = 5*r**3 - 112*r**2 - 14*r + 118. Let l(s) = -15*s**3 + 337*s**2 + 39*s - 353. Let x(v) = 8*k(v) + 3*l(v). Solve x(d) = 0.
-1, 1, 23
Suppose 4*y - 19 = -2*n + y, -2*y = -4*n + 62. Let x = n + -12. Solve 2*c**x - 4*c - 5*c**2 + 5*c**2 = 0.
0, 2
Let m(q) = q**2 + q. Let c(l) = 3*l**2 - 66*l + 358. Let x(o) = 2*c(o) + 10*m(o). Let h(p) = 5*p**2 - 41*p + 239. Let r(y) = -10*h(y) + 3*x(y). Factor r(b).
-2*(b - 11)**2
Factor 94*u**3 - 454*u - 3*u**4 - 8567*u - 289*u**3 - 5766 - 3447*u**2.
-3*(u + 1)*(u + 2)*(u + 31)**2
Let s be (3 - 2)*(-1 - -16). Factor s*z**2 - 15*z + 328*z**3 - 9*z + 12 - 331*z**3.
-3*(z - 2)**2*(z - 1)
Let c(q) = -203*q - 609. Let a be c(-3). Factor -20/3*u + a - 4/3*u**2.
-4*u*(u + 5)/3
Let k(x) = -x**3 + 16*x**2 + 16*x + 25. Let r be k(17). Determine h, given that 13*h + 3 - 15 - 5*h**2 + 7*h - r = 0.
2
Factor 1/2*p**3 - 6*p**2 + 35/2*p - 12.
(p - 8)*(p - 3)*(p - 1)/2
Let d = 2993/3582 - 4/1791. Factor d*x**2 + 5/6*x + 0.
5*x*(x + 1)/6
Let k be (-14)/(-7) + 0/2. Let c(l) be the second derivative of 0 - 1/12*l**4 + 0*l**k - 1/24*l**3 + 2*l. Suppose c(n) = 0. What is n?
-1/4, 0
Factor -6 + 2*j**3 - 2 - 460*j**2 + 466*j**2.
2*(j - 1)*(j + 2)**2
Suppose -18*a + 14*a = 0. Factor -152 + a*q - 4*q**2 + 176 + 4*q.
-4*(q - 3)*(q + 2)
Let d = -6009 - -6012. Let c = 10 - 6. Factor 2/3*i**2 - 2/9*i**c - 2/9*i**d + 10/9*i + 4/9.
-2*(i - 2)*(i + 1)**3/9
Let x(d) be the second derivative of d**8/5040 - d**7/2520 - d**6/270 + d**5/90 + 19*d**3/6 - 9*d. Let c(i) be the second derivative of x(i). Factor c(t).
t*(t - 2)*(t - 1)*(t + 2)/3
Factor -46*i**3 + 3*i**4 - 2*i**4 - 5*i**2 + 4*i**4 - 15*i + 61*i**3.
5*i*(i - 1)*(i + 1)*(i + 3)
Let f(k) be the second derivative of k**4/48 + 5*k**3/8 - 70*k + 1. Suppose f(u) = 0. What is u?
-15, 0
Let h(i) be the second derivative of i**6/15 - 2*i**5/5 - 17*i**4/2 - 86*i**3/3 - 40*i**2 + 6*i. Factor h(z).
2*(z - 10)*(z + 1)**2*(z + 4)
Let w(v) = 38*v - 14. Let f be w(3). Let m be f/45 + (0 - -1 - 3). Solve 2/9*h**3 - 2/9*h**2 + m - 2/9*h = 0 for h.
-1, 1
Let b = 1377/2 - 4127/6. Factor -b*o**2 - 2 - 8/3*o.
-2*(o + 1)*(o + 3)/3
Let f(r) be the first derivative of r**4/28 - 20*r**3/7 + 59*r**2/14 - 463. Solve f(w) = 0.
0, 1, 59
Solve -2 + 4/3*k + 7/6*k**2 - 1/6*k**4 - 1/3*k**3 = 0 for k.
-3, -2, 1, 2
Let d(i) be the first derivative of 5*i**4/4 + 140*i**3 + 9225*i**2/2 + 16810*i + 353. Factor d(b).
5*(b + 2)*(b + 41)**2
Let s = 168 - 165. Let t(n) be the first derivative of 1/9*n**s + 2 + n**2 + 3*n. Let t(k) = 0. Calculate k.
-3
Let a = -837222/7 - -119409. Let g = -194 - a. Suppose 3/7*k**3 + g*k**5 + 0*k + 3/7*k**4 + 1/7*k**2 + 0 = 0. Calculate k.
-1, 0
Let x(o) be the third derivative of -o**7/630 + o**6/60 - o**5/20 - o**4/18 + 2*o**3/3 - 2*o**2 + 2*o. Factor x(n).
-(n - 3)*(n - 2)**2*(n + 1)/3
Factor 2 - 1/4*b**2 + 7/4*b.
-(b - 8)*(b + 1)/4
Let o(p) = -9*p**4 + 10*p**3 + 17*p**2 - 18*p. Let l(w) = 3*w**4 - 3*w**3 - 6*w**2 + 6*w. Let g(a) = -8*l(a) - 3*o(a). Factor g(u).
3*u*(u - 2)*(u - 1)*(u + 1)
Let t(d) be the second derivative of d**4/12 - 19*d**3/6 - 8*d**2 + 22*d. Let h be t(20). Let 0 - 2/3*m**5 + 0*m**h + 0*m**2 - 2/3*m + 4/3*m**3 = 0. What is m?
-1, 0, 1
Let p be (-6)/(10/(-14 + 9)). Factor 4/3*j + 0*j**2 - 2/3*j**4 - 4/3*j**p + 2/3.
-2*(j - 1)*(j + 1)**3/3
Let i(f) be the first derivative of -f**3/12 + 9*f**2/8 - 2*f - 98. Let i(y) = 0. Calculate y.
1, 8
Let 159*o - 56*o + 258 + o**2 + 2*o**2 + 16*o + 16*o = 0. What is o?
-43, -2
Let i(t) = t**4 + 11*t**3 - 3*t**2 + 7*t. Let p(g) = g**4 + 10*g**3 - 2*g**2 + 6*g. Let d(o) = -6*i(o) + 7*p(o). Factor d(s).
s**2*(s + 2)**2
Solve 5/6*w - 1 - 1/6*w**2 = 0.
2, 3
Let z(w) be the first derivative of -w**3/9 - 8*w**2/3 + 17*w/3 - 24. Let z(j) = 0. What is j?
-17, 1
Factor -69/2*b - 3/2*b**2 - 198.
-3*(b + 11)*(b + 12)/2
Let w(i) = 9*i**3 + 7*i**2 - 8*i. Let m(a) = -200*a**3 - 155*a**2 + 175*a. Let g(c) = -2*m(c) - 45*w(c). Find h, given that g(h) = 0.
-2, 0, 1
Let x(h) be the second derivative of 0 + 16/3*h**3 + 23*h - 4*h**2 - 7/15*h**6 + 19/10*h**5 - 25/6*h**4 + 1/21*h**7. Factor x(d).
2*(d - 2)**2*(d - 1)**3
Let w = -68611 + 274445/4. Let f = -53 - -213/4. Factor 1/2*z**3 + 1/2*z**2 - w - 1/4*z**5 - f*z**4 - 1/4*z.
-(z - 1)**2*(z + 1)**3/4
Suppose 5*j - 40 = -5*x, -6*j = -x - 5*j - 8. Find u, given that -5/3*u**2 + x*u - 5/3*u**3 + 0 = 0.
-1, 0
Let r(z) be the third derivative of z**8/168 + 2*z**7/35 + z**6/12 + 36*z**2 - z. Let r(i) = 0. Calculate i.
-5, -1, 0
Suppose -7/5*t**2 - 9/5*t**3 + 3/5 + 4/5*t**5 + 4/5*t**4 + t = 0. What is t?
-3/2, -1, -1/2, 1
Let z(r) = -5*r**4 + r**3 + 10*r**2 + 4*r - 4. Let x(v) = v**3 - v + 1. Let b(c) = -4*x(c) - z(c). Factor b(j).
5*j**2*(j - 2)*(j + 1)
Suppose -3*i - 47 + 5 = 0. Let b = -11 - i. Factor 0 - m**2 - 3 - m**b + 4 + m.
-(m - 1)*(m + 1)**2
Factor -1/2*h**3 - 41*h + 0 + 43/2*h**2.
-h*(h - 41)*(h - 2)/2
Solve 5*u**3 - 22*u**2 - 55*u**2 - 44*u**2 - 10*u**3 + 21*u**2 = 0 for u.
-20, 0
Let y = -66 + 68. Determine c, given that 2*c**2 + 8*c**y - 12*c**2 - 4*c = 0.
-2, 0
Let r be (-2)/(-14) + 1598/329. Let n(f) be the second derivative of -7*f - 1/60*f**r + 1/18*f**4 - 1/18*f**3 + 0*f**2 + 0. Factor n(a).
-a*(a - 1)**2/3
Suppose x + 5257 - 5261 = 0. Let u(i) be the first derivative of 1/2*i**4 + 0*i - 7 + x*i**2 - 8/3*i**3. Solve u(f) = 0.
0, 2
Let q(h) = -3*h**4 + 3*h**3 + 26*h**2 + 28*h + 4. Let j(b) = b**2 - b - 1. Let f(p) = -4*j(p) - q(p). Determine k, given that f(k) = 0.
-2, -1, 0, 4
Let n(f) be the second derivative of f**6/90 - 3*f**5/20 - f**4/12 + 29*f**3/18 - 3*f**2 - f - 151. Suppose n(l) = 0. Calculate l.
-2, 1, 9
Let d(v) be the first derivative of -1/38*v**4 - 4/57*v**3 + 1/19*v**2 + 10 + 4/19*v. Solve d(z) = 0 for z.
-2, -1, 1
Let c(o) be the second derivative of o**5/40 - o**4/6 - 41*o**3/12 - 9*o**2 - 196*o. Factor c(h).
(h - 9)*(h + 1)*(h + 4)/2
Let p(o) be the second derivative of -o**5/20 + 11*o**4/48 - 5*o**3/24 - o*