5*j*(j - 2)**3
Let g(s) be the third derivative of -2*s**7/105 - 5*s**6/6 - 187*s**5/15 - 121*s**4/2 - 638*s**2 - 2*s + 1. Factor g(o).
-4*o*(o + 3)*(o + 11)**2
Suppose 3*p = -4*p - 21. Let n(j) = 2*j**3 + 6*j**2 - 2*j - 4. Let q be n(p). Find y, given that -y**4 + 11*y**2 + q*y**4 - 432*y**3 - 8*y - 12 + 440*y**3 = 0.
-6, -2, -1, 1
Let g(a) = -13*a**3 + 2*a**2 + 2*a. Let j(s) = -42*s - 173. Let k be j(-4). Let c(b) = 24*b**3 - 3*b**2 - 6*b. Let z(x) = k*g(x) - 3*c(x). Factor z(o).
-o*(o - 1)*(7*o + 8)
Let l(s) be the third derivative of 223*s**2 + 1/945*s**7 - 2/135*s**6 + 11/135*s**5 - 2/9*s**4 + 1/3*s**3 + 0 + 0*s. Factor l(d).
2*(d - 3)**2*(d - 1)**2/9
Let v(u) be the second derivative of u**6/270 - 47*u**5/90 + 851*u**4/36 - 8084*u**3/27 + 14792*u**2/9 - 6587*u. Factor v(i).
(i - 43)**2*(i - 4)**2/9
Let v(u) = u**2 + 6*u - 36. Let c be v(4). Let w(r) be the second derivative of 5/6*r**c - 10*r**2 + 0 + 13*r + 35/6*r**3. Factor w(i).
5*(i + 4)*(2*i - 1)
Let u = 431/5 + -2581/30. Let w(c) be the first derivative of -21 + 0*c - u*c**3 + c**2. Determine z so that w(z) = 0.
0, 4
Let f(g) = 3*g**2 + 3 - 5*g**2 - 3*g**2 + 7*g + g**2. Let x(r) = r**2 - 1. Let h(d) = -4*f(d) - 36*x(d). Factor h(c).
-4*(c + 2)*(5*c - 3)
Let y = -19 + 5. Let o be (-1 - 158/y)*(-112)/(-24). Suppose -79*i**3 + 2*i**4 - 307 + o*i**2 + 131*i**3 - 72*i**3 + 51 + 64*i = 0. Calculate i.
-2, 4
Suppose -13*v + 18*v = 25, 0 = 3*x - v - 10. Factor x*j**5 - j**5 - 512*j**2 - 12 + 240*j**3 + 512*j - 180 - 52*j**4.
4*(j - 6)*(j - 2)**3*(j - 1)
Let d(u) be the second derivative of -u**5/12 - 35*u**4/12 + 25*u**3/2 - 12*u**2 - 29*u + 2. Let c(t) be the first derivative of d(t). Factor c(p).
-5*(p - 1)*(p + 15)
Suppose -1936 + 1442*v**4 + 21598*v**3 - 799*v**3 - 23073*v + 13724*v**2 - 7111*v + 32*v**5 - 3877*v**3 = 0. Calculate v.
-22, -2, -1/16, 1
Find w such that -184*w + 1/2*w**2 + 16928 = 0.
184
Find p, given that 244*p - 3*p**2 + 242*p + 426 - 1423689*p**4 + 1423690*p**4 + 151*p - 213*p**3 = 0.
-1, 2, 213
Suppose 98 = 5*b + 93. Let g be (4/2)/((-2)/(-3 + b)). Determine d, given that 7*d + 0*d - 3*d + g*d**2 - 2*d**3 = 0.
-1, 0, 2
Let o(a) = -5*a**2 - 284*a + 5488. Let r(f) = -f**2 + 3*f. Let s(p) = -o(p) + 6*r(p). Let n(d) = 304*d - 5492. Let t(h) = 3*n(h) - 4*s(h). Factor t(k).
4*(k - 37)**2
Suppose 0 = 3*m - 3*o - 153 + 126, 3*o = -18. Let b(c) be the second derivative of 0*c**2 - 39*c + 1/8*c**4 + 0 + 1/2*c**m. Factor b(i).
3*i*(i + 2)/2
Let x(c) be the second derivative of 5/12*c**3 + 0 - 5/24*c**4 + 79*c + 0*c**2. Factor x(s).
-5*s*(s - 1)/2
Let f(v) be the third derivative of v**8/6720 + v**7/420 - 7*v**6/720 + 41*v**4/6 - v**2 - 47. Let g(u) be the second derivative of f(u). Factor g(k).
k*(k - 1)*(k + 7)
Let h(m) = -3*m**2 - 458*m - 15977. Let x(r) = 4*r - 2. Let q(a) = -h(a) - 5*x(a). Factor q(z).
3*(z + 73)**2
Let b(z) be the third derivative of 53/42*z**4 - 3/70*z**6 - 20/21*z**3 + 3*z**2 + 0 - 34/105*z**5 - 6*z. Determine u so that b(u) = 0.
-5, 2/9, 1
Let x = -115 - -171. Suppose -13*k = -5*k - x. Solve m + 8*m**3 - 6*m**2 + 3*m - 11*m**3 - k*m = 0 for m.
-1, 0
Factor -6560*f**3 - 59788*f**2 + 532*f**3 + 13388*f**2 - 252*f**4 + 508*f**3 - 96000*f - 4*f**5.
-4*f*(f + 3)*(f + 20)**3
Let z(p) be the second derivative of -p**5/20 - 23*p**4/6 - 89*p**3/6 - 22*p**2 + p - 94. Let z(c) = 0. Calculate c.
-44, -1
Suppose 16*a = -116*a - 111*a. Suppose a*j + 0*j**2 + 0 + 64/3*j**5 + 12*j**3 - 32*j**4 = 0. What is j?
0, 3/4
Let m(h) be the third derivative of h**6/4 - 5*h**5/12 - 930*h**2. Let m(y) = 0. What is y?
0, 5/6
What is q in -3/2*q**4 + 2055/2*q - 687/2*q**3 - 687 + 9/2*q**2 = 0?
-229, -2, 1
Let r(m) = m**3 - 22*m**2 - 11*m + 262. Let p be r(22). Let n(t) be the first derivative of 5/4*t**4 - 7 + p*t + 0*t**2 - 5*t**3. Factor n(b).
5*(b - 2)**2*(b + 1)
Let o(x) = -x**3 + 71*x**2 + 75*x - 211. Let v be o(72). Let k(i) be the third derivative of 1/20*i**v - 1/8*i**4 + 0*i + 6*i**2 + 0 + 0*i**3. Solve k(j) = 0.
0, 1
Let l be (-2)/(-7) - (171/(-63) + 1). Factor -4*x**l - 128*x + 1024 + 10*x**2 - x**2 - x**2.
4*(x - 16)**2
Let x(g) be the third derivative of 1/16*g**4 + 1/112*g**8 + 0 + 0*g**3 - 1/8*g**5 + 9/80*g**6 + 0*g - 1/20*g**7 - 178*g**2. Solve x(l) = 0 for l.
0, 1/2, 1
Factor 2184*w + 80*w**3 + 4*w**4 - 454*w**2 + 66*w**2 - 440*w**3.
4*w*(w - 91)*(w - 2)*(w + 3)
Let l(c) be the second derivative of c**5/300 - c**4/120 - c**3/15 - 47*c**2 + 17*c + 6. Let s(a) be the first derivative of l(a). Factor s(x).
(x - 2)*(x + 1)/5
Determine m, given that 0*m**4 - 6/7*m**2 - m - 1/7*m**5 + 8/7*m**3 + 6/7 = 0.
-3, -1, 1, 2
Let i(l) be the third derivative of -l**7/42 - 3*l**6/8 - 23*l**5/12 - 5*l**4/8 + 30*l**3 + 17*l**2 + 16*l + 3. Let i(z) = 0. What is z?
-4, -3, 1
Let i(z) be the third derivative of -z**7/840 + 9*z**6/160 - 63*z**5/80 + 13*z**4/96 + 169*z**3/4 + 2*z**2 - 2*z - 10. Find h, given that i(h) = 0.
-2, 3, 13
Factor -3591/4*h**2 + 21627/8*h**3 + 15 - 3/2*h.
3*(9*h - 2)**2*(89*h + 10)/8
Let x(r) be the first derivative of -98*r**3/3 - 55*r**2/3 - 4*r/3 - 314. Solve x(f) = 0.
-1/3, -2/49
Suppose 2969*y - 2990*y = 0. Let x(d) be the third derivative of y - 1/210*d**5 - 21*d**2 + 2/21*d**3 + 0*d + 1/84*d**4. Factor x(i).
-2*(i - 2)*(i + 1)/7
Let q(w) = -137*w + 19456. Let m be q(142). Solve -64/7*z**4 - 1056/7*z**3 - 256/7 - 2112/7*z - 4612/7*z**m = 0.
-8, -1/4
Determine c, given that 4/3*c - 4/9*c**2 + 8 = 0.
-3, 6
Let o = -118 + 122. Let m be 69/21 - 4/14. Factor -160*p - 80*p**m - 2*p**5 - 7*p**4 - 13*p**o - 64 - 160*p**2 + 0*p**4.
-2*(p + 2)**5
Let a be 3/(-9) - 26/(-18)*39. Let n be (1*2/(-8))/((-28)/a). Find p, given that 36/5*p**2 - 39/10*p + n + 8/5*p**3 = 0.
-5, 1/4
Let x = 304401/80 - 3805. Let v(z) be the third derivative of 18*z**2 + 1/480*z**6 + 0*z - x*z**5 + 1/32*z**4 - 1/24*z**3 + 0. Find r, given that v(r) = 0.
1
Let l(b) be the third derivative of 0 + 2/3*b**4 - 1/168*b**8 + 2/35*b**7 - 1/5*b**5 + 0*b**3 - 7/60*b**6 + 0*b - 155*b**2. Find h, given that l(h) = 0.
-1, 0, 1, 2, 4
Let v(a) = -a**2 - 18*a - 36. Let t be v(-8). Factor 5289*m - 4*m**4 + 3*m**3 - 27*m**3 - t*m**2 - 5313*m.
-4*m*(m + 1)*(m + 2)*(m + 3)
Let b = 303953/3 - 101315. Factor 32/9*v - 4/9*v**5 + 16/9*v**2 - 20/9*v**4 - b*v**3 + 0.
-4*v*(v - 1)*(v + 2)**3/9
Let b(x) = x + 4. Let y be b(-1). Suppose y*z - 2 - 9 = -d, -5*d + 16 = 2*z. Solve -3*q**3 + q - q**z + 8 + 11*q = 0 for q.
-1, 2
Let n(c) be the first derivative of 2*c**3/9 - 47*c**2/3 + 88*c - 559. Factor n(g).
2*(g - 44)*(g - 3)/3
Let i(r) be the second derivative of -r**4/9 + 1151*r**3/18 + 48*r**2 - 427*r - 2. Suppose i(v) = 0. Calculate v.
-1/4, 288
Let a be (-36)/19 + 612/(-34) + 20. Factor -a*i**2 + 2/19*i**3 - 6/19 - 10/19*i.
2*(i - 3)*(i + 1)**2/19
Let u(s) be the first derivative of -14 + 1/4*s**4 + 1/20*s**6 + 16*s + 0*s**2 + 0*s**3 + 9/40*s**5. Let j(q) be the first derivative of u(q). Factor j(y).
3*y**2*(y + 1)*(y + 2)/2
Let l be (-1 + 0)*(-5 + (-12)/(-4)). Let 13*t**l - 3001 + 156*t - 8*t**2 - 7*t**2 - 41 = 0. What is t?
39
Suppose 2*x = -2*l + 29 - 5, 46 = 3*l + x. Factor 1281*w**2 - 1282*w**2 - 1 + l.
-(w - 4)*(w + 4)
Let l(k) = -k**2 - 2*k - 8. Let g(f) = -5*f**2 - 228*f - 12132. Let d(r) = g(r) - 4*l(r). Let d(j) = 0. What is j?
-110
Let a be 6 + 22/(-352)*88. Solve a - 1/4*y - 1/4*y**2 = 0 for y.
-2, 1
Suppose h + 32 = 5*r - 3*h, -5*r + 48 = 4*h. Factor n**4 + 2*n - 2*n**3 + 4 + r*n + 0 + 6*n**2 - 3*n**4.
-2*(n - 2)*(n + 1)**3
Let t(d) = -10*d**2 + 2003*d + 82668. Let m(l) = 3*l**2 - 501*l - 20667. Let n(f) = -11*m(f) - 3*t(f). What is s in n(s) = 0?
-83
Let l(v) be the third derivative of v**7/70 - 3*v**6/4 + 109*v**5/20 - 33*v**4/2 + 26*v**3 + v**2 + 3*v + 311. Let l(g) = 0. What is g?
1, 2, 26
Factor -15 + 3*s - 5*s - 17939*s**3 + 17937*s**3 + 11*s**2.
-(s - 5)*(s + 1)*(2*s - 3)
Let j be (-33)/(-12) + -5 + 4/1. Let v = 4627/4 + -1156. Factor v - j*w + 1/2*w**2.
(w - 3)*(2*w - 1)/4
Let k(w) be the third derivative of -w**8/420 - 22*w**7/525 - 7*w**6/150 + 31*w**5/75 + 4*w**4/15 - 8*w**3/3 + 141*w**2 - 2. Solve k(x) = 0.
-10, -2, -1, 1
Let n(s) be the second derivative of 1/126*s**7 + 8*s**3 + 18/5*s**5 + 216*s**2 - 34 + 11/30*s**6 - 242/9*s**4 + s. Determine x so that n(x) = 0.
-18, -1, 2
Let l = -3038