 l(h) be the second derivative of h**5/150 + 2*h**4/5 + 11*h**3/5 - 1149*h. Factor l(c).
2*c*(c + 3)*(c + 33)/15
Let u = 307 - 299. Suppose 26*x - u*x = 54. Factor 0*h + 0 + 4/3*h**x - 4/9*h**2 + 7/9*h**4.
h**2*(h + 2)*(7*h - 2)/9
Determine c, given that 116*c - 34*c**2 + 17 - 368*c**3 - 97 - 345*c**3 + 711*c**3 = 0.
-20, 1, 2
Let m(u) be the second derivative of 23 + 1/70*u**5 + 8/7*u**2 + 1/7*u**4 + 2*u + 4/7*u**3. Let m(p) = 0. What is p?
-2
Let 3232*f - 11/10*f**4 - 7998/5*f**2 - 86*f**3 + 640 = 0. What is f?
-40, -2/11, 2
Let u(p) = 11*p**2 - 24*p + 40. Let t(n) = 61*n - 37*n - 9*n**2 - 56 + 12 + 5. Let z(w) = 4*t(w) + 3*u(w). Find m, given that z(m) = 0.
2, 6
Let o(y) be the second derivative of 17 - 5/2*y**3 - 5/42*y**7 - 5/6*y**4 + 1/3*y**6 + y**5 + 2*y + 0*y**2. Solve o(a) = 0 for a.
-1, 0, 1, 3
Factor 1932*o - 10584 - 195/2*o**2 + 3/2*o**3.
3*(o - 28)**2*(o - 9)/2
Suppose w + 2*t = -20, -5*w - t = 13 + 51. Let h be 50/8 + 39/w + 3. Factor 10*r**4 + 430*r**3 + 0*r - 2*r + h*r**2 - 412*r**3.
2*r*(r + 1)**2*(5*r - 1)
Let m = 60 + -56. Suppose m*a + 3*a = a. Factor 1/3*k**4 + 1/3*k**2 + a*k - 2/3*k**3 + 0.
k**2*(k - 1)**2/3
Suppose 0 = -4*s + 35 + 121. Let h = -39 + s. Factor -1/2*g**3 + g**2 + h - 1/2*g.
-g*(g - 1)**2/2
Let h = -50 - -55. Factor -5*u**4 + 171*u**3 - u**5 + 10*u**2 + u**h + 5*u - 181*u**3 - 5 + 5*u**5.
5*(u - 1)**3*(u + 1)**2
Let x = -16795 - -16798. Let w(b) be the first derivative of 2/3*b**x + 0*b - 1 + 6*b**2. Factor w(o).
2*o*(o + 6)
Let o(j) be the first derivative of -110/9*j**4 - 88/9*j**2 + 436/27*j**3 + 196/45*j**5 + 16/9*j + 32 - 16/27*j**6. Let o(k) = 0. Calculate k.
1/8, 1, 2
Let z(f) be the third derivative of -f**8/336 - 83*f**7/105 - 41*f**6/15 + 3*f**2 + 3*f - 49. What is v in z(v) = 0?
-164, -2, 0
Suppose 14*x - 74 = 10. Determine f so that -9*f - 123*f - 11 + 62 - 21 + 225*f**3 - 390*f**2 - x = 0.
-2/5, 2/15, 2
Let p(b) = -b**3 + b - 1. Let j(c) = 34*c + 66. Let s be j(-3). Let i(o) = -o**4 - 2*o**3 + 9*o - 9. Let y(t) = s*p(t) + 4*i(t). What is f in y(f) = 0?
0, 7
Suppose 5*v = 898 + 602. Let t = 18 + v. Determine b so that -2*b**3 + 4*b**2 - 318 + t = 0.
0, 2
Let c(f) be the third derivative of -f**7/70 + 3*f**6/40 + f**5/5 - 3*f**4/2 + 34*f**2 - 14*f. Factor c(x).
-3*x*(x - 3)*(x - 2)*(x + 2)
Factor -5*v**4 + 242*v + 205*v - 4*v + 90*v**3 + 555*v**2 + 37*v - 20*v.
-5*v*(v - 23)*(v + 1)*(v + 4)
Factor 3*g**3 - 6*g**3 - 8713*g**2 + 8377*g**2 - 1182 - 114 - 1308*g.
-3*(g + 2)**2*(g + 108)
Let u be (-4)/31 - 67320/(-31620). Let -38/3*d**4 - 2/3*d**5 + 0*d + 0 + 82/3*d**3 - 14*d**u = 0. Calculate d.
-21, 0, 1
Suppose 5*w - 1280 = -1220. Factor 21*x**2 + 19*x**2 + 0*x**2 + w*x - 2*x + 25*x**2.
5*x*(13*x + 2)
Let r(u) be the first derivative of -u**7/630 - u**6/270 + u**5/45 + u**3/3 - 13*u**2/2 - 49. Let s(z) be the third derivative of r(z). Let s(w) = 0. What is w?
-2, 0, 1
Let l be (-76)/(-57)*(-1 + 4/1). Suppose -3*v - 5*m = 0, -m = 2*v - l*v. Let 0 - 1/2*q + v*q**2 + 1/8*q**3 = 0. What is q?
-2, 0, 2
Let c(g) be the first derivative of 1/24*g**4 - 1/20*g**3 - 1/300*g**6 + 20 - 1/200*g**5 + 12*g + 0*g**2. Let r(d) be the first derivative of c(d). Factor r(o).
-o*(o - 1)**2*(o + 3)/10
Let g(s) be the first derivative of 10*s**6/3 + 25*s**5 + 105*s**4/2 - 35*s**3/3 - 130*s**2 - 60*s + 863. Let g(z) = 0. What is z?
-3, -2, -1/4, 1
Let o(n) = 109*n**3 - 248*n**2 - 32*n + 85. Let w(q) = 62*q**2 - 172*q + 362*q - 182*q - 27*q**3 - 21. Let a(u) = -6*o(u) - 22*w(u). Solve a(g) = 0.
-3/5, 2/3, 2
Solve -105/2*g + 9*g**4 + 52*g**3 + 89*g**2 + 1/2*g**5 - 98 = 0 for g.
-7, -4, -1, 1
Suppose 12 = -4*l - r, 4*l - 4*r + 2*r = 0. Let u be 5 - ((l - -4) + -2). Determine m so that 41*m - 135*m**2 - 7*m**3 - u + 4*m + 30*m**3 + 112*m**3 = 0.
1/3
Let n(k) be the second derivative of k**6/6 - 11*k**5/2 + 685*k**4/12 - 530*k**3/3 + 240*k**2 - 2*k. Factor n(y).
5*(y - 12)*(y - 8)*(y - 1)**2
Let t be (-4)/(-40)*-4*-10. Factor 74*x**2 + 24 + 245*x**5 - 246*x**5 - 39*x**3 + 2*x**4 + 8*x**t - 68*x.
-(x - 3)*(x - 2)**3*(x - 1)
Let i(z) be the second derivative of -5*z + 213/20*z**5 - 14 - 6*z**3 + 0*z**2 + 5*z**4 + 21/10*z**6. Determine d so that i(d) = 0.
-3, -2/3, 0, 2/7
Let p(f) be the first derivative of -f**7/3360 - f**6/360 - f**5/160 + 2*f**3/3 + 5*f - 47. Let a(b) be the third derivative of p(b). Factor a(u).
-u*(u + 1)*(u + 3)/4
Suppose -6309 = -5*n + 11421. Suppose 43*v + 24*v**4 - 32*v**3 + 3550*v**5 - 24*v**2 - 15*v - n*v**5 = 0. Calculate v.
-7, -1, 0, 1
Solve 214/7 + 430/7*m + 2/7*m**3 + 218/7*m**2 = 0 for m.
-107, -1
Find t, given that 24/19*t**2 + 0 - 56/19*t - 24/19*t**4 - 2/19*t**5 + 58/19*t**3 = 0.
-14, -1, 0, 1, 2
Let x(c) be the second derivative of -c**6/120 + c**5/30 + 5*c**4/24 - c**3 + 13*c**2/2 + 90*c - 2. Let i(j) be the first derivative of x(j). Factor i(s).
-(s - 3)*(s - 1)*(s + 2)
Let z(m) be the first derivative of m**5/35 + 5*m**4/14 + 13*m**3/21 - 12*m**2/7 + 368. Factor z(n).
n*(n - 1)*(n + 3)*(n + 8)/7
Let u(w) = -8*w**2 + 344*w - 16. Let l be u(43). Let x be l/15*4/(24/(-3)). Let 2/15*g**5 - 4/15*g**3 + 2/15*g + 4/15 - x*g**2 + 4/15*g**4 = 0. What is g?
-2, -1, 1
Let x(z) = z**3 - z**2 - z + 22. Let l be x(0). Let b be 1/(-2) + l/4 + -1. Suppose -1/2*y**2 - 1/4*y + 1/2*y**3 + 1/4*y**b - 1/4*y**5 + 1/4 = 0. Calculate y.
-1, 1
Determine l, given that 36/5 + 3/5*l**2 + 24/5*l = 0.
-6, -2
Factor -1/3*a**2 - 551/3*a - 550/3.
-(a + 1)*(a + 550)/3
Let b be (-14 + 12)/(-5 - 14) + (36/19 - 0). Factor 6/5*l**b + 28/5 + 86/5*l.
2*(l + 14)*(3*l + 1)/5
Suppose -6 = -5*h + 3*v - 172, -42 = h - 5*v. Let x be h/(-3)*(390/50)/13. Factor 72/5*s**2 + 4 - x*s**3 - 64/5*s + 4/5*s**4.
4*(s - 5)*(s - 1)**3/5
Let q be (-15)/(-3) + -6 + 6. Suppose 35*u + f = 30*u + 71, 0 = -q*u - 2*f + 67. Find l such that -5*l**2 + 20/3 - u*l**3 + 40/3*l = 0.
-2/3, 1
Let b be 2 + -9 - -8 - -502. Let u = -1003/2 + b. Find p, given that -6*p + u*p**2 + 6 = 0.
2
Suppose 72/5 - 96/5*o**3 + 4/5*o**4 - 226/5*o + 244/5*o**2 + 2/5*o**5 = 0. Calculate o.
-9, 1, 4
Let s(a) = 4*a**4 + 94*a**3 + a**2 - 89*a + 10. Let f(n) = -3*n**4 - 48*n**3 + 45*n - 6. Let t(u) = 5*f(u) + 3*s(u). Find w such that t(w) = 0.
-1, 0, 1, 14
Suppose 2*i + 35 = -2*j + 3*j, 0 = 4*j + 4. Let c be (i - -19)*(-1 - 0)*-5. Factor 7*a**3 - 27*a - c*a**3 + 20*a**2 + 77*a.
2*a*(a + 5)**2
Solve 146/3*b**2 - 7/6*b**5 + 0 - 14*b - 146/3*b**4 + 91/6*b**3 = 0 for b.
-42, -1, 0, 2/7, 1
Factor 5452/3*p - 3715538/3 - 2/3*p**2.
-2*(p - 1363)**2/3
Let j = -7388 + 7409. Let t(y) be the second derivative of -j*y - 1/10*y**4 - 1/2*y**3 - 3/5*y**2 + 0. Factor t(k).
-3*(k + 2)*(2*k + 1)/5
Let l(s) = -17*s**4 + 384*s**3 + 1558*s**2 + 1591*s - 7. Let b(j) = 5*j**4 - 128*j**3 - 520*j**2 - 530*j + 2. Let h(v) = 7*b(v) + 2*l(v). Factor h(p).
p*(p - 132)*(p + 2)**2
Let g(f) be the third derivative of -361*f**8/1176 + 3344*f**7/245 - 17158*f**6/105 - 352*f**5/5 - 28*f**4/3 + 517*f**2 + 7*f. Determine o, given that g(o) = 0.
-2/19, 0, 14
Let z(p) be the third derivative of p**6/45 - 353*p**5/180 + 11*p**4/18 + 3717*p**2. Factor z(t).
t*(t - 44)*(8*t - 1)/3
Let w(q) = -2*q**4 - 4*q**3 + 30*q**2. Let i(a) = 4*a**4 + 8*a**3 - 60*a**2. Let d(p) = -4*i(p) - 7*w(p). Factor d(m).
-2*m**2*(m - 3)*(m + 5)
Factor 7*i**3 + 362*i**2 + 66*i + 75*i - 491*i**2 - 15*i**3 - 36 + 32*i**3.
3*(i - 4)*(i - 1)*(8*i - 3)
Let c(v) = 2*v**2 - 21*v - 17. Let b be c(-12). Let m = b + -523. Find s, given that m - 1/3*s - 1/3*s**3 + 2/3*s**2 = 0.
0, 1
Let v(g) be the third derivative of g**7/105 + g**6/60 - g**5/10 - 5*g**4/12 - 2*g**3/3 + 248*g**2 + 5*g. Factor v(p).
2*(p - 2)*(p + 1)**3
Factor 2355*b**2 + 463344*b + 311*b**3 + 318*b**3 + 314*b**3 + 460992 + 313*b**3 - 1253*b**3.
3*(b + 1)*(b + 392)**2
Suppose 0 = -18*y - 1124 + 5606. Let h = -746/3 + y. Suppose -5/3*u**2 - h*u**3 - 7/3*u - 1 = 0. Calculate u.
-3, -1
Suppose -14*k + 15*k = -1, 0 = 2*h + 3*k - 73. Factor -13*q**2 + 10*q**4 + q + h*q**4 + q + 23*q**3 - 15*q**3.
q*(3*q + 2)*(4*q - 1)**2
Let i(s) = 2*s**2 + 24*s + 14. Let v be i(-12). Let n(p) = p + 6. Let x be n(-2). What is g in 6*g**3 - 36*g**5 - x*g**2 + v*g**5 + 20*g**5 = 0?
-2, 0, 1
Let v(m) = -41*m**3 + 70*m**2 + 216*m + 175. Let o(t) = -6*t**3 + 6*t**2 + t - 1. Let w(s) = 28*o(s) - 4*v(s). Suppose w(p) 