) be the third derivative of 0 - 17/18*s**4 - 1/360*s**5 + 83*s**2 + 0*s - 1156/9*s**3. Factor w(x).
-(x + 68)**2/6
Let m = -131593 - -657971/5. Determine d, given that -m - 8/5*d**2 - 13/5*d - 1/5*d**3 = 0.
-6, -1
Suppose 0 = 164656*u - 164744*u + 176. What is f in -f**u + 1/6*f**3 + 0 + 0*f = 0?
0, 6
Let o(t) be the first derivative of -31 - 5/4*t**4 + 10/3*t**3 + 5/2*t**2 - 10*t. Determine y so that o(y) = 0.
-1, 1, 2
Let g(u) = -u**4 - 4*u**3 + 3*u**2 + 7*u - 7. Let j(s) = 3*s - 1. Let k(f) = 2*g(f) + 2*j(f). Factor k(a).
-2*(a - 1)**2*(a + 2)*(a + 4)
Factor 4/7*n**2 + 36288 - 288*n.
4*(n - 252)**2/7
Let z(o) = -o**3 - 677*o**2 + 1385*o + 36. Let r(d) = d**3 + 507*d**2 - 1039*d - 28. Let k(a) = -9*r(a) - 7*z(a). Factor k(h).
-2*h*(h - 86)*(h - 2)
Let d = 246326/2340819 + 4/123201. Solve 32/19*c**4 + 0 + 2/19*c**3 - d*c**5 + 0*c - 32/19*c**2 = 0 for c.
-1, 0, 1, 16
Let g(v) be the second derivative of 5*v**4/4 + 259*v**3 - 312*v**2 - 10674*v. Factor g(w).
3*(w + 104)*(5*w - 2)
Let j(l) be the third derivative of l**6/240 + 49*l**5/60 - 33*l**4/16 - l**2 - 3*l - 406. Factor j(c).
c*(c - 1)*(c + 99)/2
Let j(g) be the third derivative of 17*g**7/105 - g**6/60 - 17*g**5/10 + 37*g**4/12 - 2*g**3/3 - 2*g**2 - 10*g - 20. Find t, given that j(t) = 0.
-2, 1/17, 1
Let l(b) = -2*b**3 - 67*b**2 - 269*b. Let j(m) = -9*m**3 - 269*m**2 - 1075*m. Let f(h) = -3*j(h) + 13*l(h). Determine c so that f(c) = 0.
-4, 0, 68
Find u such that 0*u - 77/3*u**3 + 0 - 238/3*u**4 + 158/3*u**2 - u**5 = 0.
-79, -1, 0, 2/3
Let b(l) be the first derivative of 2/27*l**3 + 0*l + 279 + l**2. Factor b(y).
2*y*(y + 9)/9
Solve -3/4*n**3 - 15/2*n**2 + 0 + 18*n = 0.
-12, 0, 2
Let i(b) be the first derivative of b**6/1080 - b**5/120 + 91*b**3 - 302. Let q(o) be the third derivative of i(o). Factor q(w).
w*(w - 3)/3
Let g(m) be the first derivative of -m**4/16 + m**3 - 35*m**2/8 + 6*m - 942. Find v such that g(v) = 0.
1, 3, 8
What is w in 400*w**4 - 147*w**3 - 80*w + 5*w**5 + 12*w**3 + 58*w**2 - 248*w**2 - 420*w**4 = 0?
-2, -1, 0, 8
Let a(z) be the second derivative of z**5/5 - 11*z**4/3 + 62*z**3/3 - 42*z**2 + 2*z + 387. Let a(t) = 0. Calculate t.
1, 3, 7
Let a(j) be the first derivative of 6*j + 12/5*j**5 + 16 + 3/2*j**2 - 3*j**4 + 3/2*j**6 - 6*j**3. Factor a(r).
3*(r - 1)*(r + 1)**3*(3*r - 2)
Let x be (((-2)/(-90))/((-5)/2))/(4/(-20)). Let w(i) be the first derivative of 0*i + 0*i**2 + 31 + x*i**3. Factor w(r).
2*r**2/15
Suppose 0 = -i - 4*i - 2*n + 42, 0 = -4*i + 5*n + 27. Suppose 5*w - i = 7. Factor 75*k**2 + 13 + 58*k**3 + w*k**5 - k**3 + 10*k**4 + 11*k**4 - 1 + 48*k.
3*(k + 1)**3*(k + 2)**2
Let g(r) be the first derivative of -r**6/36 + 17*r**5/30 - 5*r**4/3 - 50*r**3/3 + 11895. Factor g(h).
-h**2*(h - 10)**2*(h + 3)/6
Let q be (-75 + -2)*(-12 - 780/(-70)). Suppose -88*i = -q*i - 44. Let -5*o**i - 5/2*o**4 - 1/2*o**5 - 5/2*o - 5*o**3 - 1/2 = 0. Calculate o.
-1
Suppose -2*q + 18 = 2. Let n be 3*(0 + q/6). Suppose -13*y**4 - 120*y - 31*y**3 + 11*y**3 + 97 + 15*y**n - 25 + 74*y**2 = 0. What is y?
2, 3
Let s be (94/(-12))/((-126)/3591). Let g = -223 + s. Determine c so that g*c**5 - 1/2*c**4 + 0 + 0*c**3 + 0*c**2 + 0*c = 0.
0, 2
Suppose -532*p + 524*p = -32. Suppose -28*d**p + 3*d**3 - 28*d**4 - d**3 + 52*d**4 + 42*d**2 = 0. What is d?
-3, 0, 7/2
Let s = -731/9 + 244/3. Suppose 0 = -5*d + 4*z - 12, 9 = d + 6*z - 3*z. Factor -2/9*r**3 + d*r**2 - 1/9*r**4 + 2/9*r + s.
-(r - 1)*(r + 1)**3/9
Let n(q) be the third derivative of -4*q**7/105 + 13403*q**6/30 - 9979278*q**5/5 + 11141862770*q**4/3 + 22298697808*q**3/3 + 10765*q**2. Factor n(o).
-4*(o - 2234)**3*(2*o + 1)
Let w(a) be the second derivative of 5/12*a**4 - 10*a**3 + 5*a + 175/2*a**2 - 4. Factor w(o).
5*(o - 7)*(o - 5)
Let y(g) = -3*g**4 - g**3 + g**2 - g. Let q(x) = -35*x**4 - 48*x**3 - 31*x**2 - 10*x + 8. Let d(h) = -3*q(h) + 24*y(h). Suppose d(v) = 0. Calculate v.
-2, -1, 4/11
Let z be (-1 + 27/25)*101/(2828/840). Let h(i) be the first derivative of 8*i**2 + 2/3*i**6 + 0*i + 4*i**3 - 5*i**4 - z*i**5 + 13. Find r, given that h(r) = 0.
-1, 0, 1, 4
Let a be -19 + (-610)/(-32) + 62/32. Let i(f) be the third derivative of 0*f**4 + 0 + 1/420*f**5 + 0*f - 12*f**a - 1/42*f**3. Determine c, given that i(c) = 0.
-1, 1
Factor 178/5*s + 177/5 + 1/5*s**2.
(s + 1)*(s + 177)/5
Let t = 6/17 + -1/51. Let u(f) be the second derivative of -t*f**2 + 0 + 2/9*f**3 - 14*f - 1/18*f**4. Suppose u(w) = 0. What is w?
1
Suppose u + 3*q = 3*u - 19, -5*u + 2*q = -31. Factor 66*y**2 - u + 19 + 4 - 15*y**3 + 0 - 69*y.
-3*(y - 3)*(y - 1)*(5*y - 2)
Let g(k) be the third derivative of -1/10*k**5 + 0*k - 13/8*k**4 + k**2 + 1/40*k**6 - 6 - 5*k**3. Factor g(x).
3*(x - 5)*(x + 1)*(x + 2)
Suppose 369*r - 349*r = 0. Let d(m) be the second derivative of -1/135*m**6 + 1/90*m**5 + 0 + 0*m**4 + r*m**3 + 7*m + 0*m**2. Factor d(o).
-2*o**3*(o - 1)/9
Let s(y) be the third derivative of 7/220*y**6 + 1/33*y**4 + 4/1155*y**7 + 7/110*y**5 + 0*y**3 - 15*y - 2*y**2 + 0. Solve s(t) = 0 for t.
-4, -1, -1/4, 0
Let r(d) be the first derivative of d**6/3 + 4*d**5 - 48*d**4 - 1587. Find z, given that r(z) = 0.
-16, 0, 6
Find p such that 69/2*p + 3/2*p**2 - 162 = 0.
-27, 4
Let g = -576685 + 576700. Factor -65/2*m + 25/2*m**2 - g.
5*(m - 3)*(5*m + 2)/2
Let w(b) be the second derivative of -237*b**5/20 + 313*b**4/12 - 25*b**3/2 - b**2/2 + 142*b - 7. Factor w(j).
-(j - 1)*(3*j - 1)*(79*j + 1)
Let p(u) be the second derivative of -u**4/12 - 25*u**3/6 - 42*u**2 + 1213*u. Factor p(i).
-(i + 4)*(i + 21)
Let s(y) = y**3 + 4*y**2 + 2. Let h be s(-4). Suppose 16 = 6*u + h*u. Factor -409*o**u + 409*o**2 + o**3 - 4*o.
o*(o - 2)*(o + 2)
Find q, given that -6*q + 144/5 - 2/5*q**4 - 26/5*q**3 - 86/5*q**2 = 0.
-8, -3, 1
Suppose -1527 = 25*a - 1627. Let n(g) be the second derivative of 4/21*g**3 + 0*g**2 + 0 + 1/3*g**a + 3*g. Find s such that n(s) = 0.
-2/7, 0
Let f(w) = -2*w**3 - 10*w**2 + 10*w - 9. Let m be f(-6). Factor 16*b**2 + 12 - m*b**2 - 16*b - b**2 - 8*b**2.
4*(b - 3)*(b - 1)
Let -3 + 1/4*m**2 - 11/4*m = 0. What is m?
-1, 12
Let n(r) be the second derivative of -5*r**4/12 - 175*r**3/2 + 265*r**2 - 3*r - 76. What is v in n(v) = 0?
-106, 1
Let g(f) be the third derivative of f**7/70 - 11*f**6/20 + 41*f**5/20 - 5*f**4/2 - 851*f**2. Solve g(i) = 0.
0, 1, 20
Let b(o) = 589*o + 4024. Let h be b(-6). Factor -70*s - h - 5/2*s**2.
-5*(s + 14)**2/2
Let i(j) be the second derivative of -j**6/30 - 19*j**5/4 - 184*j**4 + 384*j**3 - 135*j. Find t such that i(t) = 0.
-48, 0, 1
Suppose 5*t = -52 + 67. Suppose 112*h + 143*h**3 - 130*h**3 - 218*h**4 - 300*h**2 + 60*h**5 - 26*h**4 + 375*h**t - 16 = 0. What is h?
2/5, 2/3, 1
What is x in 38*x**2 - 194/5*x**3 + 0 + 4/5*x = 0?
-2/97, 0, 1
Let f be 1388/392 - 5 - -2. Let d = f + -2/49. Factor -d*w - 1 + 1/2*w**2.
(w - 2)*(w + 1)/2
Let i(q) be the third derivative of 14*q**3 + 0 + 2/15*q**5 + 104*q**2 + 0*q + 43/6*q**4. Factor i(b).
4*(b + 21)*(2*b + 1)
Let a be (-12)/(-108) - 483/(-27). Let z(t) = -24*t**2 + 3*t + 9. Let c(x) = -x**2. Suppose -p + 4*p = -3. Let r(n) = a*c(n) + p*z(n). Factor r(o).
3*(o + 1)*(2*o - 3)
Find t, given that -43*t - 85*t + 105*t - 119*t - 312*t**2 - 173*t + 3*t**3 = 0.
-1, 0, 105
Find n, given that -133*n**3 + 26*n**4 - 364*n**2 - 5*n**5 - 8*n**3 - 196*n + 72 + 4*n**5 - 72 = 0.
-1, 0, 14
Let l(d) = 13*d**5 - 20*d**4 - 29*d**3 + d**2 + 61*d + 1. Let v(t) = 3*t**5 - 5*t**4 - 8*t**3 + 15*t + 1. Let i(u) = 10*l(u) - 45*v(u). What is g in i(g) = 0?
-1, 1, 7
Let j(z) be the first derivative of -1/20*z**4 - 1/15*z**3 + 0*z - 266 + 1/5*z**2. Let j(h) = 0. Calculate h.
-2, 0, 1
Let o(l) be the second derivative of -19*l + 0*l**3 + 0*l**2 + 1 + 0*l**6 - 1/30*l**5 + 0*l**4 + 1/252*l**7. Find w such that o(w) = 0.
-2, 0, 2
Suppose 50*t - 88 - 62 = 0. Let z(s) be the first derivative of 2/9*s**2 - 1/18*s**4 + 0*s + t + 2/27*s**3. Determine p, given that z(p) = 0.
-1, 0, 2
Find o, given that 222784 + 4/9*o**2 + 1888/3*o = 0.
-708
Let p(s) = s**3 + 22*s**2 + 21*s + 5. Let k be p(-21). Factor 10*g**2 - 94*g**5 - 63*g**5 + 55*g**3 + 112*g**k + 60*g**4.
-5*g**2*(g - 2)*(3*g + 1)**2
Let n be (-1)/3 + 400/48. Let n*c**2 + 4*c - 24*c**3 - 2*c**2 - 25*c**4 + 39*c**4 = 0. Calculate c.
-2/7, 0, 1
Let s(b) be the second derivative of b**5/40 - 239*b**4/8 - b*