-l**6/120 - 83*l**5/60 - 163*l**4/24 - 27*l**3/2 + 4832*l**2. Determine g, given that o(g) = 0.
-81, -1
Let f(m) be the third derivative of -1/9*m**4 + 0 + 1/540*m**6 - 13/6*m**3 + 0*m + 24*m**2 + 0*m**5. Let s(v) be the first derivative of f(v). Factor s(w).
2*(w - 2)*(w + 2)/3
Let x be ((-1956)/4890)/((-3)/10). Find r, given that 14/15*r - 2/15*r**2 - x = 0.
2, 5
Let x be -7 + 13 + 84/(-22) + (-8)/44. Let j(k) be the second derivative of -5/2*k**x + 0 + 10*k + 0*k**3 + 5/12*k**4. What is y in j(y) = 0?
-1, 1
Let q(b) = -8*b**4 + 43*b**3 + 284*b**2 - 620*b + 331. Let f(a) = 7*a**4 - 41*a**3 - 283*a**2 + 625*a - 332. Let u(j) = -5*f(j) - 4*q(j). Factor u(d).
-3*(d - 16)*(d - 1)**2*(d + 7)
Let s(j) be the first derivative of 5329*j**4/12 - 5767*j**3/9 + 149*j**2/2 - 3*j + 7569. Factor s(f).
(f - 1)*(73*f - 3)**2/3
Let g(u) be the first derivative of 4/35*u**5 + 1/14*u**4 + 0*u**3 + 0*u + 0*u**2 + 89 + 1/21*u**6. Factor g(b).
2*b**3*(b + 1)**2/7
Let c(o) be the first derivative of -o**8/4200 - 9*o**7/350 - 81*o**6/100 - 137*o**3/3 + 2*o + 21. Let b(m) be the third derivative of c(m). Factor b(u).
-2*u**2*(u + 27)**2/5
Let o = -72 + 84. Let b be (-20)/o - -4 - (-2)/(-6). Factor -5*c**4 - 11*c**2 + 9*c**b + 7*c**2 + 10*c**3 - 10*c.
-5*c*(c - 2)*(c - 1)*(c + 1)
Let -4/5*a**2 + 0 + 2/5*a**3 - 6/5*a = 0. What is a?
-1, 0, 3
Factor 4176/5*g**2 + 38/5*g**4 - 568/5*g**3 - 3024*g + 4320 - 1/5*g**5.
-(g - 10)**2*(g - 6)**3/5
Suppose -4*s - 8*l = -13*l - 65, -3*s + 75 = 5*l. Factor z**4 - z**3 + 16*z**2 + 7*z**2 + z + 4*z**3 - s*z**2.
z*(z + 1)**3
Let q(h) be the second derivative of 50/3*h**3 - 5/12*h**4 - 4*h + 105/2*h**2 + 4. Factor q(r).
-5*(r - 21)*(r + 1)
Factor -324 + 3/2*g**2 - 645/2*g.
3*(g - 216)*(g + 1)/2
Suppose -3*s = -y - 48, -4*s + 27 = 3*y - 37. Let t(x) be the first derivative of -s*x + 4/3*x**3 - 4 + 6*x**2. Factor t(a).
4*(a - 1)*(a + 4)
Let v(g) be the third derivative of g**6/120 + 7*g**5/90 - 5*g**4/9 + 380*g**2 + 2. Factor v(p).
p*(p - 2)*(3*p + 20)/3
Let o(m) = 39*m**2 - 83*m - 32. Let x(k) = -54*k**2 + 84*k + 34. Let h(t) = -4*o(t) - 3*x(t). Determine v so that h(v) = 0.
-13, -1/3
Suppose -10*m**3 + 28*m**2 - 912*m - 133*m**2 - m**3 + 8*m**3 = 0. What is m?
-19, -16, 0
Let c = -2212 - -2218. Let g(s) be the second derivative of 3/10*s**5 + 0 + 1/2*s**4 - 1/2*s**3 - 1/14*s**7 - 3/2*s**2 - 1/10*s**c - 16*s. Factor g(h).
-3*(h - 1)**2*(h + 1)**3
Let t(v) be the third derivative of -v**7/210 - 13*v**6/30 + 11*v**5/4 - v**4/6 - 110*v**3/3 - 8*v**2 - 42*v. Factor t(u).
-(u - 2)**2*(u + 1)*(u + 55)
Let y = 259/3000 - 3/1000. Let n(a) be the third derivative of 8*a**2 + 0*a + 0 + 4/3*a**4 - 4/3*a**3 + y*a**6 - 17/30*a**5. Solve n(w) = 0.
2/5, 1, 2
Let i(f) be the second derivative of 3*f**5/80 + 3*f**4/16 - 2*f**3 + 9*f**2/2 + 1104*f. Factor i(c).
3*(c - 2)*(c - 1)*(c + 6)/4
Factor -19*g**3 - 14*g**3 - 4210*g**2 - 22*g**3 + 83*g**3 - 23*g**3.
5*g**2*(g - 842)
Let a(v) be the first derivative of v**7/600 + 19*v**6/1800 - 17*v**5/300 + v**4/15 - 9*v**3 - 6. Let p(d) be the third derivative of a(d). Factor p(t).
(t - 1)*(t + 4)*(7*t - 2)/5
Suppose -5*t + 15 = 0, 4*t - 70 = -p - 189. Let l be 4/(-6) - p/3. Let -12*q - l*q - 2*q**2 - 3*q**2 = 0. What is q?
-11, 0
Let a(m) = 7056*m + 42339. Let k be a(-6). Factor 0 + 3/4*v**4 + 3*v - 3/4*v**2 - k*v**3.
3*v*(v - 4)*(v - 1)*(v + 1)/4
Let n be (-31)/7*(19845/(-126))/45. Let n*z**3 - 17*z**2 - 7/4*z**5 - 8 + 19/4*z**4 - 34*z = 0. Calculate z.
-2, -1, -2/7, 2, 4
Suppose -17/5*t**3 + 7/5*t**4 + 0 + 1/5*t**5 + 0*t + 9/5*t**2 = 0. What is t?
-9, 0, 1
Let z(u) be the third derivative of 4*u**2 + 4*u**4 - 32/3*u**3 - 1/70*u**7 + 0*u - 2/15*u**6 + 17 + 1/5*u**5. Solve z(l) = 0.
-4, 2/3, 2
Suppose 0 = 10*v - 4362 - 2548. Let o = 4841/7 - v. Determine m so that o*m**2 + 0 - 4/7*m = 0.
0, 1
Let w(o) be the third derivative of -o**8/588 + 32*o**7/147 - 1433*o**6/210 - 6638*o**5/105 - 206*o**4 - 336*o**3 - 3*o**2 + 6. Solve w(g) = 0 for g.
-2, -1, 42
Let n(m) be the first derivative of -51*m**6/14 + 120*m**5/7 + 177*m**4/14 - 604*m**3/7 - 1521*m**2/14 - 108*m/7 + 5087. Suppose n(j) = 0. What is j?
-1, -4/51, 3
Let f(q) be the first derivative of 1/30*q**4 + 49/5*q**2 - 2*q + 8 + 14/15*q**3. Let b(g) be the first derivative of f(g). Factor b(w).
2*(w + 7)**2/5
Let t(a) be the third derivative of a**7/630 - 7*a**6/90 + 19*a**5/15 - 4*a**4 - 96*a**3 - 203*a**2 - 4*a. Factor t(g).
(g - 12)**2*(g - 6)*(g + 2)/3
Let b(u) be the first derivative of u**4/2 - 100*u**3/3 + 269*u**2 - 440*u + 744. Solve b(r) = 0.
1, 5, 44
Let n(f) be the first derivative of f**7/280 - f**6/24 - 16*f**3/3 - 34. Let q(k) be the third derivative of n(k). Factor q(m).
3*m**2*(m - 5)
Let g(k) = k**2 + 9 - 12*k + 36 + 7 - 13. Let x(i) = -i**2 + i. Let d(r) = 3*g(r) + 6*x(r). Factor d(b).
-3*(b - 3)*(b + 13)
Determine z, given that 16*z + 7*z + 0*z**3 - 2*z**3 + 52 - 24*z**2 + z + 6*z = 0.
-13, -1, 2
Let i(r) = 10*r**2 + 7*r - 68. Let w be i(7). Factor 3*x**4 + 24*x**2 + w*x - 29*x**3 + 6*x**4 - 475*x.
x*(x - 2)*(x - 1)*(9*x - 2)
Factor 478*p + p**3 - 286*p**2 + 101*p - 85*p - 193*p**2 + 460*p.
p*(p - 477)*(p - 2)
Let t = -192 - -194. Factor -3*p**3 - 1794*p**5 + p**t + 5*p**4 - 10*p**2 + 1793*p**5.
-p**2*(p - 3)**2*(p + 1)
Suppose 266 = -28*k + 26*k. Let f = 201 + k. Let -3*p**3 - 2 - 2*p**2 - f*p + 2*p**4 + 71*p + 3*p**2 - p**4 = 0. What is p?
-1, 1, 2
Let v(n) = 4*n**3 + n**2 + 2*n - 2. Let y(c) = -15*c**3 + 145*c**2 + 1636*c + 8. Let t(o) = -8*v(o) - 2*y(o). Find m, given that t(m) = 0.
-137, -12, 0
Let d be ((-2295)/(-119) + -21)/(-1). Factor 4/7*o**3 - 48/7 - 64/7*o - d*o**2.
4*(o - 6)*(o + 1)*(o + 2)/7
Let x(a) be the third derivative of a**6/40 + 41*a**5/10 + 81*a**4/8 + 74*a**2 - 3*a + 2. Factor x(k).
3*k*(k + 1)*(k + 81)
Let f(z) be the third derivative of -5/54*z**4 + 8/9*z**3 - 1/270*z**5 + 0*z + 0 - 34*z**2. Solve f(i) = 0.
-12, 2
Let j(z) be the second derivative of -36*z - 2/21*z**6 - 16/3*z**3 + 4 + 17/35*z**5 + 134/21*z**4 + 0*z**2. Let j(i) = 0. What is i?
-4, 0, 2/5, 7
Let p be -16*21/2268*-120. Let d(i) be the first derivative of 185/6*i**2 + p*i**3 + 50/3*i + 25/12*i**4 - 27. Factor d(z).
5*(z + 1)*(z + 5)*(5*z + 2)/3
Suppose r = 3*z + 55, 8*z - 5*z - 205 = -4*r. Suppose r + 4 = 14*d. Find w such that -45/8*w**2 + 21/8*w**3 - 3/8*w**d + 27/8*w + 0 = 0.
0, 1, 3
Suppose 2*s = -d + 13 - 3, 3*s + 5*d = 29. Suppose 116*r**s - 2*r**4 - 112*r - 112*r**2 + 3*r**4 - 17*r**4 + 104 - 4*r**5 + 24 = 0. Calculate r.
-8, -1, 1, 2
Let g(t) be the first derivative of -5/3*t**3 + 55 + 35*t - 15*t**2. Find d such that g(d) = 0.
-7, 1
Let f(n) be the first derivative of -4/3*n**2 + 0*n - 64 - 2/3*n**3 + 1/6*n**4. Find z, given that f(z) = 0.
-1, 0, 4
Let k(j) = -42*j**3 + 146*j**2 + 248*j + 162. Let y(v) = -5*v**3 + 18*v**2 + 31*v + 20. Let a(c) = 2*k(c) - 17*y(c). Factor a(t).
(t - 16)*(t + 1)**2
Let u(j) be the third derivative of j**6/300 + 7*j**5/150 - j**4/6 - 16*j**3/15 + 4*j**2 + 5*j + 2. Determine d so that u(d) = 0.
-8, -1, 2
Let y(u) be the first derivative of u**5/120 + u**4/16 - 3*u**3/2 - 5*u**2/2 + 2*u + 23. Let l(s) be the second derivative of y(s). Suppose l(r) = 0. What is r?
-6, 3
Factor -434*i**2 + 0 + 136/5*i**3 - 980*i - 2/5*i**4.
-2*i*(i - 35)**2*(i + 2)/5
Let t(y) be the third derivative of y**5/80 + 7*y**4/4 + 147*y**3/2 - 9026*y**2. Factor t(z).
3*(z + 14)*(z + 42)/4
Suppose 42*m = 43*m - 3. Factor m*n**2 + 9*n - 3*n**4 - 8*n**4 + 15*n**4 - 9*n**3 - n**4 - 6.
3*(n - 2)*(n - 1)**2*(n + 1)
Let u(w) be the first derivative of 2*w**5/35 + 4*w**4/7 + 10*w**3/7 + 3656. Factor u(z).
2*z**2*(z + 3)*(z + 5)/7
Let v = 159531 - 159526. Let 16/7*j**4 + 4/7 + 26/7*j + 32/7*j**v - 94/7*j**3 + 16/7*j**2 = 0. What is j?
-2, -1/4, 1
Let c = -6152 - -6154. Let t(y) be the third derivative of 0 + 0*y - 17*y**c - 1/60*y**5 + 0*y**4 + 0*y**3. Solve t(h) = 0 for h.
0
Let m be 3990/(-456)*12/(-63). Find f such that m*f**2 + 0 - 110/3*f = 0.
0, 22
Let n(h) be the first derivative of -41/9*h**2 + 40/9*h + 4/27*h**3 + 186. Let n(l) = 0. What is l?
1/2, 20
Let w(r) be the second derivative of -r**7/14 - r**6/5 + 27*r**5/4 - 71*r**4/2 + 86*r**3 - 108*r**2 - 18*r - 89. Factor w(x).
-3*(x - 2)**3*(x - 1)*(x + 9)
Solve 681*s**3 - 13*s - 184*s**2