*3 + 3*g**2 + g. Let h(a) = -2*o(a) - y(a). What is m in h(m) = 0?
1, 3, 151
Let i(j) be the second derivative of -j**8/2520 - j**7/252 + j**6/90 - 32*j**3 + 276*j. Let y(x) be the second derivative of i(x). Factor y(p).
-2*p**2*(p - 1)*(p + 6)/3
Let y(t) be the first derivative of -16*t**6/3 - 56*t**5 - 29*t**4 + 596*t**3/3 - 52*t**2 - 64*t + 3459. Determine f so that y(f) = 0.
-8, -2, -1/4, 1/2, 1
Let k(d) be the second derivative of -2*d**7/63 - 16*d**6/45 - 17*d**5/15 + 2*d**4/9 + 16*d**3/3 + 5*d - 1. What is n in k(n) = 0?
-4, -3, -2, 0, 1
Let o(f) be the second derivative of 2*f**7/5 + 46*f**6/75 - 61*f**5/25 - 37*f**4/5 - 104*f**3/15 - 8*f**2/5 - 84*f - 8. Suppose o(v) = 0. Calculate v.
-1, -2/21, 2
Let n be ((-4)/5)/((-38)/285). Suppose f + n = 3*f. Let 64 - 2*b**f - 61 + 3*b**3 + 5*b**2 + 7*b = 0. What is b?
-3, -1
Let j be 93*2/12*132/1023. Determine p so that 4/5*p**5 + 8*p + 28/5*p**j + 4/5*p**4 - 32/5 - 44/5*p**3 = 0.
-4, -1, 1, 2
Let f(h) be the second derivative of -13/36*h**4 - 1/90*h**6 + 0 + 3*h**2 + 7/60*h**5 - 48*h - 1/6*h**3. Factor f(c).
-(c - 3)**2*(c - 2)*(c + 1)/3
Suppose 4*u - 12 = -4*b - 0*b, 3*u = -2*b + 10. Suppose g + 16 = u*d, 0 = -0*d - d - g - 1. Factor -2/3*z + 2/3*z**d - 4/3 + 4/3*z**2.
2*(z - 1)*(z + 1)*(z + 2)/3
Let u(h) be the third derivative of 1/1176*h**8 + 2/21*h**3 + 0 + 1/28*h**4 + 0*h + 37*h**2 - 1/105*h**6 - 1/105*h**5 + 0*h**7. Solve u(g) = 0.
-1, 1, 2
Let j(b) be the first derivative of -11*b**4/8 + 17*b**3/6 + 4*b**2 - 6*b - 10833. Let j(o) = 0. Calculate o.
-1, 6/11, 2
Find g, given that 938*g**4 + 0*g**5 - 35*g**5 + 840 + 472*g**4 - 2540*g + 2575*g**3 + 5006*g**2 - 7256*g**2 = 0.
-2, -1, 2/7, 1, 42
Let w(j) be the second derivative of 4*j - 16/7*j**3 - 24/7*j**4 - 27/14*j**5 - 3 + 0*j**2 - 3/98*j**7 - 29/70*j**6. Determine u so that w(u) = 0.
-4, -1, -2/3, 0
Suppose b = -91 + 94. Let d(g) = -1. Let z(v) = 3*v**3 - 9*v**2 + 3. Let l(f) = b*d(f) + z(f). Factor l(m).
3*m**2*(m - 3)
Let b(t) be the second derivative of 7*t**6/60 - t**5/40 - 8*t**4/3 - 5*t**3/3 + 24*t**2 + 867*t - 2. Suppose b(g) = 0. Calculate g.
-2, 8/7, 3
Let i = -289 - -292. Factor -a**4 - 30*a + 29*a**2 - 765*a**i - 771*a**3 + 1538*a**3.
-a*(a - 6)*(a - 1)*(a + 5)
Factor 2/13*w**3 + 11774/13 + 10*w**2 + 2494/13*w.
2*(w + 7)*(w + 29)**2/13
Suppose -45 = 2*d - 49. Suppose d*m - 13 = -9. Factor 5*z**2 - m*z + 1 + 5*z**2 - 9*z**2.
(z - 1)**2
Let x = 903723/251030 + -3/50206. Factor -3*w**2 + 3/5*w**3 + 0 + x*w.
3*w*(w - 3)*(w - 2)/5
Suppose 9*a + 14 - 23 = 0. Let q(v) = v**4 + v. Let j(s) = 5*s**4 + 5*s**3 + 30*s**2 - 10*s - 40. Let n(m) = a*j(m) - 10*q(m). Factor n(x).
-5*(x - 2)**2*(x + 1)*(x + 2)
Let w = 32 + 44. Let -60*n**3 + w*n**4 + 4*n**5 - 64*n - 68*n**4 + 54*n**2 - 182*n**2 = 0. Calculate n.
-4, -1, 0, 4
Let o(g) be the first derivative of -107/6*g**3 + 155 - 2*g**2 + 2*g + 27/5*g**5 + 57/8*g**4. Suppose o(w) = 0. Calculate w.
-2, -2/9, 1/6, 1
Let b(r) = -7*r**2 - 75*r + 467. Let z(l) = 9*l**2 + 75*l - 468. Let o(x) = 6*b(x) + 5*z(x). Suppose o(s) = 0. What is s?
11, 14
Let i(z) be the first derivative of 5*z**3/3 - 35*z**2/2 - 40*z + 190. Let i(a) = 0. What is a?
-1, 8
Let c(k) be the second derivative of 0 + 5/3*k**3 + 1/84*k**4 - 8*k - 1/210*k**5 + 1/1260*k**6 + 0*k**2. Let t(f) be the second derivative of c(f). Factor t(z).
2*(z - 1)**2/7
Suppose -86*o - 130*o - 54 + 486 = 0. Find u, given that 3/4*u**5 + 15/2*u**o - 3/2*u**3 + 3/4*u - 15/4 - 15/4*u**4 = 0.
-1, 1, 5
Let w = 839/5394 - -10/899. Determine n, given that 1/6 + 1/6*n - 1/3*n**2 - 1/3*n**3 + 1/6*n**5 + w*n**4 = 0.
-1, 1
Suppose 0 = 28*x + 35*x + 189. Let t be (-29)/6*62/(-93) + x. Let 0 + 2/9*o + t*o**2 = 0. Calculate o.
-1, 0
Suppose 0 = 20*f - 118 - 42. Find r such that 56*r**3 - 170*r**3 + 6*r**2 + 59*r**3 - f*r + 57*r**3 = 0.
-4, 0, 1
Factor -81*l**2 + 40*l**2 + 82*l**2 - 10*l**3 + 45 + 24*l**2 - 120*l.
-5*(l - 3)**2*(2*l - 1)
Let q(p) be the second derivative of p**4/24 + 7*p**3 - 43*p**2 - 10*p + 35. Suppose q(v) = 0. Calculate v.
-86, 2
Suppose f = 4*z - 17, f + 4*f = z - 9. Let d be 6/6*1 - (z + -5). Factor -3 + 9/4*s + 3/4*s**d.
3*(s - 1)*(s + 4)/4
Let p be 7/(323/(-3) - 12/(-18)). Let h = p - -249/535. Factor h*d**2 + 32/5 - 16/5*d.
2*(d - 4)**2/5
Let m be 36/45*(-62)/(-124). Factor 64/5 + 8/5*k**2 + 56/5*k - m*k**3.
-2*(k - 8)*(k + 2)**2/5
Let c(p) be the third derivative of 51*p**2 + 0 + 1/6*p**3 - 1/300*p**5 - 2*p + 1/30*p**4. Factor c(f).
-(f - 5)*(f + 1)/5
Factor 2266*f**2 + 2275*f**2 + 1274*f - 4539*f**2 + 1272.
2*(f + 1)*(f + 636)
Let m be ((-16)/2 - -10)*(-10)/(-4). Let -8*o**m + 550*o**2 + 64*o**4 + 26*o**2 + 4*o**5 + 27*o - 336*o**3 - 27*o = 0. Calculate o.
0, 4, 6
Let v be 9/((-216)/(-84)) + -2 + (-3)/2. Factor 1/3*i**2 - 1/3*i + v.
i*(i - 1)/3
Let x(n) be the second derivative of -n**6/10 - 21*n**5/10 - 45*n**4/4 + 2*n + 95. Factor x(g).
-3*g**2*(g + 5)*(g + 9)
What is t in 897*t**3 + 422*t**5 - 598*t**4 - 287*t**4 - 636*t - 252 + 1167*t**2 - 359*t**5 + 294*t**4 = 0?
-1, -2/7, 2/3, 3, 7
Let r = 110590/38731 - -10/5533. Factor r - 12/7*z**2 + 6/7*z + 2/7*z**3.
2*(z - 5)*(z - 2)*(z + 1)/7
Determine m so that -3580*m + 8010250 + 2/5*m**2 = 0.
4475
Let y(x) be the third derivative of 0*x + 1/96*x**4 + 2 + 3*x**2 + 1/240*x**5 - 1/12*x**3. Solve y(b) = 0.
-2, 1
Let a(d) be the first derivative of -206 + 1/36*d**4 + 0*d - 1/9*d**2 - 1/27*d**3. Determine h so that a(h) = 0.
-1, 0, 2
Let r = 56/4475 + 8782/13425. Factor 2/3*x**2 - 2/3*x**4 - 2/3*x**3 + r*x**5 + 0*x + 0.
2*x**2*(x - 1)**2*(x + 1)/3
Let a(x) be the third derivative of x**8/168 + 2*x**7/35 - 4*x**6/15 + x**5/15 + 5*x**4/4 - 8*x**3/3 + 186*x**2 - 6*x. Determine m so that a(m) = 0.
-8, -1, 1
Let x(u) be the second derivative of 4/3*u**4 - u - 24 - 2/15*u**6 + 2/21*u**7 - 4/5*u**5 + 0*u**3 + 0*u**2. Factor x(i).
4*i**2*(i - 2)*(i - 1)*(i + 2)
Let h(u) be the second derivative of u**5/140 - 2*u**4/7 + 143*u**3/42 + 40*u + 33. Solve h(r) = 0.
0, 11, 13
Let f = -540 + 544. Find d, given that 40*d + 46*d**2 + 2 + d**f + 12*d**3 + 23 + 0*d**4 - 25*d + 45*d = 0.
-5, -1
Let d(s) = -2*s**2 + 4*s + 9. Suppose -18 = -4*n + 5*n. Let g = n - -36. Let z(y) = -1. Let b(u) = g*z(u) + 2*d(u). Find h, given that b(h) = 0.
0, 2
Let z(j) be the third derivative of j**8/112 + 54*j**7/35 + 713*j**6/40 + 303*j**5/10 + 3944*j**2. Find w, given that z(w) = 0.
-101, -6, -1, 0
Let s(p) be the first derivative of p**6/2 + 3*p**5/5 - 9*p**4/2 - 4*p**3 + 12*p**2 + 1833. Factor s(r).
3*r*(r - 2)*(r - 1)*(r + 2)**2
Suppose 18*n - 10*n - 448 = 0. Let x be (-36)/48*n/(-21). What is m in 4/7*m**3 - 2/21*m**5 + 0*m**4 + 2/7*m + 16/21*m**x + 0 = 0?
-1, 0, 3
Suppose -3*i = -5*v - 114, -29*i + 5*v + 6280 = 6088. Determine j so that 51/4*j - 159/8*j**2 + 33/8*j**3 + i = 0.
-2/11, 1, 4
Let g be 0 + 1*470/252. Let d = g + -31/18. Factor -1/7 + d*r**2 + 0*r.
(r - 1)*(r + 1)/7
Let f be ((-5)/(50/4))/((-143808)/(-1200) - 120). Factor -20 - 25*v**2 + 85/2*v + f*v**3.
5*(v - 8)*(v - 1)**2/2
Let w(v) be the second derivative of -5*v**7/12 - 103*v**6/12 - 159*v**5/8 + 2925*v**4/8 - 405*v**3/2 + 92*v + 2. Find f such that w(f) = 0.
-9, 0, 2/7, 3
Let k be ((-4)/(-105)*-6)/((-28780)/(-1200) - 24). Factor -k - 3/7*o**2 - 36/7*o.
-3*(o + 4)*(o + 8)/7
Let a(z) = -7*z**2 - 61*z - 150. Let o(r) = 76*r**2 + 668*r + 1648. Let b(n) = -32*a(n) - 3*o(n). Factor b(j).
-4*(j + 4)*(j + 9)
Factor o**3 + 258 - 3*o**3 + 20356*o**2 - 10399*o**2 - 10215*o**2 + 2*o.
-2*(o - 1)*(o + 1)*(o + 129)
Let m(h) = 6*h**2 + 166*h - 4. Let o(q) = -49*q**2 - 1325*q + 34. Let i(v) = -17*m(v) - 2*o(v). Factor i(j).
-4*j*(j + 43)
Let x(i) be the first derivative of -27 + 0*i + 49/2*i**2 + 25/24*i**6 + 77*i**3 - 33/2*i**5 + 949/16*i**4. Factor x(b).
b*(b - 7)**2*(5*b + 2)**2/4
Let u be 453735/26888 - (-4)/((-64)/6). Factor 1/6*d**3 + 1089/2*d + u*d**2 + 11979/2.
(d + 33)**3/6
Factor 52*m**2 + 4056*m - 1/3*m**4 + 0 - 311/6*m**3 + 1/6*m**5.
m*(m - 13)**2*(m + 12)**2/6
Suppose 29*a - 61 = -3. Factor -33*t**2 - 6272 + 17*t**a + 107*t - 331*t + 14*t**2.
-2*(t + 56)**2
Factor -1212201/8 - 1/8*n**2 - 1101/4*n.
-(n + 1101)**2/8
Suppose 3*s - 18 = 2*y, 2*y + 2*s - 20 = 6*y. Let g = 9 - y. What is d in 10 - g + 3*d + 0*d**2 - d**2 = 0?
1, 2
Let j = 643749/4 + -160936. Fac