(-360)*o. Factor 1/5*x**3 - 1/5*x - v + 9/5*x**2.
(x - 1)*(x + 1)*(x + 9)/5
Let v be (-63)/(-36) - (5 - 4)/(-4). Let j(t) be the third derivative of -t**4 + 2*t**v - 1/30*t**5 - 12*t**3 + 0*t + 0. Factor j(m).
-2*(m + 6)**2
Suppose 305 = -2*k + 313. Factor -4*x**2 + 15*x**2 + 3 - 3 - k*x - 7*x**2.
4*x*(x - 1)
Let r(i) be the second derivative of -8/7*i**2 + 1/7*i**5 + 0 + 2/105*i**6 - 2/147*i**7 - 1/21*i**4 + 161*i - 16/21*i**3. Factor r(g).
-4*(g - 2)**2*(g + 1)**3/7
Let s = -1483 + 1500. Let a(j) be the third derivative of 1/30*j**6 + 0 + 0*j**3 + 2/105*j**7 - 2/15*j**5 + 0*j + s*j**2 + 0*j**4. Find k, given that a(k) = 0.
-2, 0, 1
Let m(r) = -3*r + 2. Let x be m(4). Let w be (-28)/x - 8/10. Factor 3 - 2 - 4*y + 5 - 4*y + 2*y**w.
2*(y - 3)*(y - 1)
Suppose 3*a = 4*q + 1293, -7*q + 2123 = 5*a - 3*q. Let x = a + -2561/6. Factor 1/6 - 1/6*m - x*m**2 + 1/6*m**3.
(m - 1)**2*(m + 1)/6
Suppose -34656 - 456*h - 3/2*h**2 = 0. What is h?
-152
Let g(p) = 10*p**2 + 60*p + 212. Let w(n) = 9*n**2 + 60*n + 210. Let i(j) = -5*g(j) + 6*w(j). Factor i(r).
4*(r + 5)*(r + 10)
Let c(v) be the second derivative of v**6/10 + 33*v**5/10 + 35*v**4 + 100*v**3 - v + 264. Factor c(f).
3*f*(f + 2)*(f + 10)**2
Find z such that 3/5*z**4 + 1587/5*z**3 + 0 + 1593/5*z - 3183/5*z**2 = 0.
-531, 0, 1
Let g be 189*(550/(-600) - -1). Factor 6 - 6*f**3 + 3/4*f**4 + g*f**2 - 33/2*f.
3*(f - 4)*(f - 2)*(f - 1)**2/4
Let u = 3217/210 + -107/7. Let w(x) be the third derivative of -7*x**2 + 0*x**4 + 0*x + u*x**6 + 0 + 1/30*x**5 + 1/105*x**7 + 0*x**3. Find q such that w(q) = 0.
-1, 0
Determine z so that 18*z**4 - 514*z + 28*z**5 + 883*z**3 - 365*z**3 - 192*z**3 - 30*z**5 - 18*z**2 + 190*z = 0.
-9, -1, 0, 1, 18
Suppose 1221*f - 1229*f = -32. Let v(s) be the first derivative of 7 - 2/9*s**3 - 1/12*s**f + 1/6*s**2 + 2/3*s. Factor v(a).
-(a - 1)*(a + 1)*(a + 2)/3
Let y = 119986 - 1079872/9. Find q such that 16/3*q - 2 + 16/9*q**3 - y*q**4 - 44/9*q**2 = 0.
1, 3
Let x = 8606 + -103271/12. Let a(g) be the third derivative of 1/24*g**6 - 5/24*g**4 + 0*g - 28*g**2 - 5/6*g**3 + x*g**5 + 0. Find k such that a(k) = 0.
-1, 1
Let a(f) be the third derivative of -7*f**5/40 + 493*f**4/8 + 284*f**3 - 2609*f**2. Let a(i) = 0. Calculate i.
-8/7, 142
Suppose 194 = 4*g + 5*m, 20*g - 21*g - 2*m + 53 = 0. Let z(l) be the first derivative of -49/38*l**4 + 80/19*l + 1036/57*l**3 - 284/19*l**2 - g. Factor z(s).
-2*(s - 10)*(7*s - 2)**2/19
Factor -63/2*a - 555/2 - 3/8*a**2.
-3*(a + 10)*(a + 74)/8
Suppose -650/7*f + 326/7*f**3 + 0 + 1/7*f**4 + 323/7*f**2 = 0. What is f?
-325, -2, 0, 1
Let t(p) be the first derivative of 4*p**6/39 - 222*p**5/65 - 326*p**4/13 + 39112*p**3/39 + 128832*p**2/13 + 61952*p/13 - 6252. Determine a so that t(a) = 0.
-8, -1/4, 22
Let u(a) be the second derivative of a**4/42 - 2*a**3/3 + 45*a**2/7 - a - 13. Factor u(v).
2*(v - 9)*(v - 5)/7
Let j(g) = -17*g + 196. Let x be j(36). Let z = x + 416. Factor 1/4*h**3 + 0*h - 1/4*h**5 + 1/4*h**2 - 1/4*h**4 + z.
-h**2*(h - 1)*(h + 1)**2/4
Factor 0 + 0*t + 10/11*t**3 + 0*t**2 - 8/11*t**4 - 2/11*t**5.
-2*t**3*(t - 1)*(t + 5)/11
Let u(h) be the third derivative of 12*h**2 - 37/288*h**4 + 1/240*h**5 - 13/36*h**3 + 0*h - 5. Factor u(m).
(m - 13)*(3*m + 2)/12
Determine p, given that -2/3*p**4 + 2*p**2 + 16/3*p**3 - 112/3 - 124/3*p = 0.
-2, -1, 4, 7
Let k(n) = 7*n + 126. Let s be k(-12). Suppose -12*r**2 + 3*r - 36*r**2 + s*r**2 = 0. Calculate r.
0, 1/2
Suppose 2*k - 2*v - 8 = 0, 3*k - 53 = -5*v - 9. Suppose 3*n = 2*l - 21, -2*l - k = 3*n + 1. Let q**l + 0*q + 0 - 3/4*q**2 - 1/4*q**4 = 0. Calculate q.
0, 1, 3
Let m(f) be the third derivative of 13*f**6/30 + 2449*f**5/60 + 233*f**4/24 - 47*f**3/3 - 28*f**2 + 4*f. Factor m(x).
(x + 47)*(4*x + 1)*(13*x - 2)
Let a(x) be the second derivative of 0 + 8/25*x**5 - 29/30*x**4 + 14/15*x**3 + 0*x**2 - 1/75*x**6 - 56*x. What is i in a(i) = 0?
0, 1, 14
Let n(f) be the third derivative of f**5/240 + 269*f**4/8 + 217083*f**3/2 - 5120*f**2. Factor n(d).
(d + 1614)**2/4
What is m in -10*m**2 - 34*m**2 - 4*m**3 + 110 + 27 - 16*m + 41 + 62 = 0?
-10, -3, 2
Let o = 6907 - 6903. Let w(q) = -2*q**3 - q**2 + 3*q + 2. Let c be w(-2). Suppose -3*v**2 + 3*v**2 + 9 - 3*v**o + c*v**2 + 10*v**2 + 24*v = 0. What is v?
-1, 3
Let j be (-36)/5*4/(32/(-20)). Let k be 96/3*3/6. What is s in -j*s - k - 59*s + 7*s**3 - 44*s**2 + 145*s = 0?
2/7, 2, 4
Let r(a) be the second derivative of 0*a**2 - a + 0*a**3 + 8*a**4 + 2/21*a**7 + 4/3*a**6 + 28/5*a**5 + 77. Factor r(j).
4*j**2*(j + 2)**2*(j + 6)
Solve 439569/7 + 1/7*d**2 + 1326/7*d = 0 for d.
-663
Let g(b) be the third derivative of -100*b**6/9 + 140*b**5 - 735*b**4 + 2058*b**3 - 230*b**2 - 1. Factor g(w).
-4*(10*w - 21)**3/3
Let u(b) be the third derivative of b**9/3024 + b**8/448 - 5*b**7/252 + b**4/8 - 5*b**3/2 + 262*b**2. Let c(p) be the second derivative of u(p). Factor c(x).
5*x**2*(x - 2)*(x + 5)
Let r = 96383 - 385531/4. Factor -1681/4 + 41/2*l - r*l**2.
-(l - 41)**2/4
Let a(n) be the first derivative of -n**5/35 - 3*n**4/28 + 2*n**3 - 50*n**2/7 + 72*n/7 - 733. Factor a(f).
-(f - 2)**3*(f + 9)/7
Let u(f) be the first derivative of 44*f**3 - 1713*f**2/2 + 420*f + 2532. Factor u(b).
3*(4*b - 1)*(11*b - 140)
Let j(i) be the third derivative of i**7/210 - i**6/8 + 7*i**5/10 + 20*i**4/3 - 64*i**3 + 8063*i**2. Factor j(f).
(f - 8)**2*(f - 2)*(f + 3)
Let q(g) = g**3 + 3*g**2 - 11*g - 2. Let f be q(-5). Let a be -1 + 5 + (-4 - f/(-1)). Determine u, given that 899 - 2*u + a*u**2 - 893 - 7*u = 0.
1, 2
Let i(o) = 9*o - 72 + 8*o**3 + 135 + 12*o**2 - 67. Let n(y) = -y**3 - y**2 - y. Let r(h) = 2*i(h) + 18*n(h). Factor r(x).
-2*(x - 2)**2*(x + 1)
Let j be 8/20 + 1 + 598/5. Factor -2*d**2 - 12*d + 145 - 10*d - j.
-2*(d - 1)*(d + 12)
Let l(c) be the third derivative of c**9/151200 + c**8/12600 + 31*c**5/30 - 64*c**2. Let i(j) be the third derivative of l(j). Factor i(n).
2*n**2*(n + 4)/5
What is k in 30/11 - 26/11*k + 2/11*k**3 - 6/11*k**2 = 0?
-3, 1, 5
Suppose 18/7 - 45/7*y - 6/7*y**4 + 6/7*y**3 + 4*y**2 - 1/7*y**5 = 0. Calculate y.
-6, -3, 1
Let q(h) = h**2 - 21*h - 1075. Let v be q(-24). Let d(p) be the third derivative of 11*p**2 + 0*p**4 - 2/27*p**3 + 0*p + 1/540*p**v + 0. Factor d(o).
(o - 2)*(o + 2)/9
Let c(l) = 10*l**4 - 3635*l**3 - 7370*l**2 - 3655*l + 490. Let t(m) = m**4 - 404*m**3 - 819*m**2 - 406*m + 56. Let s(j) = 4*c(j) - 35*t(j). Factor s(r).
5*r*(r - 82)*(r + 1)**2
Suppose 25*h = 1209 - 1159. Determine l so that 0 - 10/3*l**3 + 0*l - 4*l**h - 2/3*l**4 = 0.
-3, -2, 0
Suppose 7*p = -11*p + 306. Factor -p*m**2 + 47 + 8*m**2 - 18*m**2 - 16*m**2 + m**3 - 488 + 483*m.
(m - 21)**2*(m - 1)
Let z(o) be the first derivative of o**6/3 + 102*o**5/5 - o**4/2 - 34*o**3 + 3950. Find w, given that z(w) = 0.
-51, -1, 0, 1
Let c(q) = 2*q**4 - 272*q**3 - 246*q**2 + 242*q + 250. Let d(m) = m**4 - 270*m**3 - 247*m**2 + 245*m + 251. Let l(s) = -5*c(s) + 6*d(s). Factor l(y).
-4*(y - 1)*(y + 1)**2*(y + 64)
Let z(m) = -m**3 - 4*m**2 - 4*m + 7. Let s be z(-5). Let g = s + -50. Factor -2*x**g - 2*x - x**2 - 13*x + 5 + 13.
-3*(x - 1)*(x + 6)
Let t(h) be the third derivative of -h**5/240 + 325*h**4/48 + 3*h**2 + 2089. Factor t(o).
-o*(o - 650)/4
Factor 326/5 - 65*j - 1/5*j**2.
-(j - 1)*(j + 326)/5
Let y(v) be the first derivative of 2*v**6/27 + 6*v**5/5 + 55*v**4/18 - 10*v**3/27 - 19*v**2/3 - 44*v/9 + 301. Suppose y(q) = 0. Calculate q.
-11, -2, -1, -1/2, 1
Let z(x) be the second derivative of -13*x**5/40 + 19*x**4/4 + 9*x**3/4 + 295*x - 2. Factor z(a).
-a*(a - 9)*(13*a + 3)/2
Let d = -302 + 532. Let o = 1162/5 - d. Determine m so that -6/5*m**2 + 21/5*m - 3/5*m**3 - o = 0.
-4, 1
Suppose 0*g = -6*g + 18. Let k(c) = -136*c - 3. Let w be k(-3). Factor i**5 + 90*i**g + 243 + w*i + 112*i**2 + 2*i**4 + 3*i**4 + 158*i**2 + 10*i**4.
(i + 3)**5
Let -8/21*u**2 + 8/3*u - 2*u**3 + 0 - 8/21*u**4 + 2/21*u**5 = 0. Calculate u.
-2, 0, 1, 7
Let p(y) be the third derivative of -y**5/15 - 5*y**4/3 - 32*y**3/3 - 3*y**2 + 190*y + 2. Factor p(l).
-4*(l + 2)*(l + 8)
Let t(n) = -11*n - 13*n**3 - 15 - 11*n**3 + 43*n**3 - 18*n**3 - 7*n**2. Let s(w) = -2*w**3 + 14*w**2 + 21*w + 31. Let o(y) = 6*s(y) + 13*t(y). Factor o(q).
(q - 9)*(q + 1)**2
Suppose 118 + 43 = 25*t + 36. Let i(d) be the third derivative of 0*d + 0 + 1/8*d**4 + 1/10*d**5 - t