be the third derivative of -y**5/40 - 689*y**4/2 - 1898884*y**3 - 123*y**2 - 2. Factor q(j).
-3*(j + 2756)**2/2
Suppose 2830 = 2558*n - 7402. Suppose 512/9*p + 2/9*p**n + 0 - 62/9*p**3 + 448/9*p**2 = 0. What is p?
-1, 0, 16
Let s(x) = 37*x + 181. Let h be s(32). Factor 114*q**2 + 2825 + 228*q + 7*q**3 - 1404 - h.
(q + 2)*(q + 14)*(7*q + 2)
Solve -9*q + 7*q**2 - 6 + 8259*q**4 + 9*q**3 - 4*q**2 - 8256*q**4 = 0.
-2, -1, 1
Let z(v) be the third derivative of -v**5/12 - 125*v**4/3 + 335*v**3/2 - 3*v**2 + 205. Suppose z(a) = 0. What is a?
-201, 1
Let m = 170930 + -170928. Suppose 1/5*k**4 - 559/5*k + 249/5*k**m - 29/5*k**3 + 338/5 = 0. Calculate k.
1, 2, 13
Suppose -8*q + 4*q - 48 = 0. Let f be 2/((-48)/(-100)) + 2/q. What is t in -22*t + 64*t**4 - 25*t**5 + 22*t - 24*t**f + 20*t**3 = 0?
-2/5, 0, 2
Suppose 108 = -148*g + 149*g. Factor 88*u - g*u + 80*u - 55 - 5*u**2.
-5*(u - 11)*(u - 1)
Let h(t) = -6*t**2 - 5*t - 3. Let a be h(-1). Let d(g) = -g. Let u(q) = -2*q**2 + 16*q + 14. Let m(z) = a*d(z) - u(z). Factor m(p).
2*(p - 7)*(p + 1)
Suppose 1048*t**4 + 640/3 - 4312/3*t**2 - 216*t - 40/3*t**5 + 4534/3*t**3 = 0. Calculate t.
-2, -2/5, 1/2, 80
Let t(n) be the first derivative of n**5/40 - n**4/12 - n**3/12 + n**2/2 + 45*n + 18. Let s(c) be the first derivative of t(c). Suppose s(m) = 0. What is m?
-1, 1, 2
Let q(t) = t**4 + 29*t**2 - 11*t + 11. Suppose -14*o + 10*o = -44. Let w(l) = 6*l**2 - 2*l + 2. Let k(f) = o*w(f) - 2*q(f). Solve k(n) = 0 for n.
-2, 0, 2
Suppose 4*g - 56 + 0 = 4*o, -38 = 4*o + 2*g. Let m be 5 - (-4)/(-12)*(o - -2). Factor -m*h**2 + 12*h**4 + 10*h - 8*h**3 + 10*h**5 - 14*h**5 + 2*h - 4 + 0.
-4*(h - 1)**4*(h + 1)
Let y(r) = -r**3 - 2*r**2 + 14*r - 3. Suppose h - v = -6, -2 = -4*v + 2. Let m be y(h). Determine g so that 35*g**m - 4*g + 5*g + 60*g**3 + 4*g = 0.
-1/3, -1/4, 0
Factor r**3 + 160 - 120 - 23*r**2 + 0*r**3 - 152 + 134*r.
(r - 14)*(r - 8)*(r - 1)
Let c be 2/12*-2*-18*2. Let o = -8 + c. Solve o + 5*b**2 - 4 + 7*b - 22*b = 0.
0, 3
Let j be (-174)/(-609) - 6/21. Let w(z) be the third derivative of 1/15*z**5 - 19*z**2 + j*z**3 - 1/30*z**6 + 1/3*z**4 + 0 + 0*z. What is r in w(r) = 0?
-1, 0, 2
Let r(b) = -b**3 - 21*b**2 + 45. Let j be r(-21). Suppose 31 + j = 19*h. Factor -4/9*u**h + 0 + 8/3*u + 4/9*u**2 - 8/3*u**3.
-4*u*(u - 1)*(u + 1)*(u + 6)/9
Let x(y) be the third derivative of y**10/50400 - y**8/2240 - y**7/840 + y**5/30 - y**4/4 - 5*y**2. Let m(r) be the third derivative of x(r). Factor m(d).
3*d*(d - 2)*(d + 1)**2
Let i be (87/6 - 13)/((-234)/(-96)). Determine l, given that -i - 4050/13*l**2 + 360/13*l = 0.
2/45
Let a be (2/(-2))/((-174)/(-90) - 2). Factor 2917*z**2 + 5*z**5 - 4*z**4 + a*z - 20*z**3 - 2907*z**2 - 6*z**4.
5*z*(z - 3)*(z - 1)*(z + 1)**2
Let d(a) be the third derivative of 0*a - 1/12*a**5 - 40/3*a**3 - 13*a**2 - 5/3*a**4 - 2. Factor d(r).
-5*(r + 4)**2
Let v(m) = -2*m**4 + 110*m**3 + 99*m**2 + 13*m - 13. Let w(z) = 2*z**4 - 110*z**3 - 100*z**2 - 12*z + 12. Let x(d) = 12*v(d) + 13*w(d). Factor x(n).
2*n**2*(n - 56)*(n + 1)
Suppose 5*b - 101 - 29 = 0. Suppose i**4 + 19*i - 19*i**2 + 9*i - 12 + 28*i**3 - b*i**3 = 0. Calculate i.
-6, 1, 2
Factor 1/6*w**4 - 968 + 704/3*w + 8*w**3 + 108*w**2.
(w - 2)*(w + 6)*(w + 22)**2/6
Let c = -60 - -63. Find o such that -c*o**3 + 6567*o - 5184 - 3*o**3 - 1671*o + 10*o**3 + 284*o**2 = 0.
-36, 1
Suppose -g**3 - 43/2*g - 19/2*g**2 - 13 = 0. Calculate g.
-13/2, -2, -1
Let d(n) = -2*n**2 + 11*n + 17. Let a be d(6). Find p such that 46*p**5 + 2 - 42*p**5 - 2*p - 24*p**2 + a*p**4 + p**3 - 3*p + 11*p**2 = 0.
-2, -1, 1/4, 1
Suppose 10 = 3*v + 4*i - 0, 4*v + 4*i = 8. Let a be 3*(-33)/(-12) + v/8. Factor 13*r + 0*r**2 - 6*r - a - 2*r**2 + 3*r.
-2*(r - 4)*(r - 1)
Let n(h) be the third derivative of 97*h**6/420 - 293*h**5/210 + h**4/14 + 4511*h**2. Factor n(a).
2*a*(a - 3)*(97*a - 2)/7
Let u(g) = -g**4 - 9*g**3 + 10*g**2 + 21*g - 3. Let i(m) = -2*m**4 - 28*m**3 + 30*m**2 + 64*m - 8. Let f(b) = 3*i(b) - 8*u(b). Solve f(r) = 0 for r.
-1, 0, 3, 4
Factor -3/7*v**2 + 4716/7 + 1167/7*v.
-3*(v - 393)*(v + 4)/7
Factor 0 + 28/3*g**2 - 4/3*g**3 + 32/3*g.
-4*g*(g - 8)*(g + 1)/3
Let p(f) = 4*f**3 + 667*f**2 + 502*f + 666. Let i be p(-166). Let 20/3*h**3 - 37/2*h**2 + 34/3*h - i = 0. Calculate h.
3/8, 2/5, 2
Let y(b) = 2*b**3 + 2*b**2 - 7*b - 6. Let t be y(-4). Let g = t + 95. Suppose 61*u - 102*u + 56*u + g*u**2 - 6 = 0. What is u?
-1, 2/7
Let m(i) be the third derivative of -4205/6*i**3 - 1/12*i**5 + 20*i - 145/12*i**4 - 2*i**2 + 0. Find b, given that m(b) = 0.
-29
Let p(g) = 12*g**3 + 16*g**2 - 798*g + 257. Let n(u) = -22*u**3 - 32*u**2 + 1592*u - 515. Let s(h) = -6*n(h) - 10*p(h). Factor s(d).
4*(d - 10)*(d + 13)*(3*d - 1)
Let m = -456 + 448. Let b be (146/18 + m)*3/2. Factor 0 - b*v**5 + 1/2*v**3 - 2/3*v - 1/3*v**4 + 2/3*v**2.
-v*(v - 1)**2*(v + 2)**2/6
Let b(i) be the second derivative of i**6/60 + 7*i**5/20 - 4*i**4/3 - 2149*i. Factor b(x).
x**2*(x - 2)*(x + 16)/2
Let z(s) be the second derivative of s**5/20 - s**4/12 - 6*s. Let t(x) = -4*x**3 + x**3 - x**3 + 5*x**3 - x**4. Let u(l) = -3*t(l) - 3*z(l). Factor u(v).
3*v**2*(v - 1)**2
Suppose 6307*c - 63 = 6286*c. Solve 0 + 0*n - 1/5*n**4 - 1/5*n**2 - 2/5*n**c = 0 for n.
-1, 0
Let a(o) be the second derivative of 8 - 5/4*o**4 + 1/2*o**7 + o**3 - 3*o + 1/2*o**6 - 27/20*o**5 + 0*o**2. Determine t so that a(t) = 0.
-1, 0, 2/7, 1
Let r(w) = -28 - 5*w - 3*w - 4*w + 10*w. Let d be r(-15). Factor -48*f + 20*f**2 + 80 + 64 - 16*f**d.
4*(f - 6)**2
Let a be 6/8*296/111. What is j in -17*j**a + 34*j**2 - 18 - 16*j**2 - 17*j = 0?
-1, 18
Let y be (4 - (-2 - -2)) + (-324)/(-45) + -8. Factor -2/5*c**2 + 4/5*c + y.
-2*(c - 4)*(c + 2)/5
Let d = 15977 - 15972. Let i(g) be the third derivative of -8*g**2 - 10/9*g**4 + 1/45*g**d + 0 + 200/9*g**3 + 0*g. What is m in i(m) = 0?
10
Let q(y) be the second derivative of -y**6/6 - 37*y**5/4 + 5*y**4/4 + 565*y**3/6 + 185*y**2 - 1197*y. Let q(x) = 0. What is x?
-37, -1, 2
Let r(m) be the first derivative of 27*m**2 + 12*m + 60 + 55*m + m**3 + 169*m + 7*m. Let r(p) = 0. Calculate p.
-9
Let w be (-9)/3 + (3 - -2). Find x such that -27 + 276*x + 17*x**w + 43*x**3 - 15*x**2 + 3*x**4 + 99 + 192*x**2 = 0.
-6, -2, -1/3
Let f(g) be the first derivative of 3*g**4/4 - 93*g**3 - 567*g**2/2 - 285*g + 1114. Factor f(q).
3*(q - 95)*(q + 1)**2
Solve 10/3*h**2 + 0*h + 0 + 19/6*h**4 - 49/6*h**3 - 1/3*h**5 = 0 for h.
0, 1/2, 4, 5
Factor -374/9*h**2 + 962/9*h + 8/9*h**3 + 88/3.
2*(h - 44)*(h - 3)*(4*h + 1)/9
Let u(v) be the third derivative of v**6/300 - 4*v**5/5 + 119*v**4/60 - 32*v**2 - 5. Find n, given that u(n) = 0.
0, 1, 119
Let h(r) = r**3 - 14*r**2 - 418*r + 5855. Let z be h(14). Let 26/11*k**2 - 10/11*k**4 - 6/11*k**z - 24/11 - 2/11*k**5 + 16/11*k = 0. What is k?
-3, -2, 1
Let r(k) be the second derivative of -k**5/25 - 7*k**4/3 - 392*k**3/15 + 2*k - 1337. What is h in r(h) = 0?
-28, -7, 0
Suppose 40*l + 81 - 1/4*l**2 = 0. What is l?
-2, 162
Let g be ((-10)/(-45) - 10/(-720)*-16)/(-9). Let 1/6*k**3 - 1/2*k + 1/3*k**2 + g = 0. What is k?
-3, 0, 1
Let j(q) be the second derivative of 5*q**4/48 + 5*q**3/3 + 15*q**2/2 + 6158*q - 2. Factor j(a).
5*(a + 2)*(a + 6)/4
Let d = -117365 + 1056287/9. Factor 100/9*j + 0 - 10/9*j**2 - 16/9*j**3 - d*j**4.
-2*j*(j - 2)*(j + 5)**2/9
Let o = 55591371 + -114573812021/2061. Let r = o + 6/229. Factor 14/3*s**2 + 0 + 2/9*s**4 - r*s**3 - 4*s.
2*s*(s - 3)**2*(s - 2)/9
Let d(x) be the third derivative of 5*x**8/168 - 11*x**7/420 - x**6/30 - x**5/120 + 1675*x**2. Suppose d(z) = 0. What is z?
-1/4, -1/5, 0, 1
Let g be (-10)/36*(-19684)/(-10545)*(-4)/(8/6). Suppose g*u**3 + 22/9*u**2 - 2/3*u - 22/9*u**4 + 0 - 8/9*u**5 = 0. Calculate u.
-3, -1, 0, 1/4, 1
Let x(b) be the second derivative of b**6/240 + b**5/12 - 23*b**4/48 + b**3 + 51*b**2 + 159*b. Let q(l) be the first derivative of x(l). Factor q(k).
(k - 1)**2*(k + 12)/2
Let z(u) be the second derivative of u**4/4 - 2297*u**3 + 15828627*u**2/2 - 379*u + 18. Factor z(m).
3*(m - 2297)**2
Suppose -2*h + 4 = -2*w, -2*h - 2 = -5*h + 5*w. Factor -2*k**5 - 3*k**5 - 30 + 7 + 4*k**5 - 4*k**3 - 16*k**2 + 32*k + 5*k**h + 7.
-(k - 2)**3*(k - 1)*(k + 2)
Let k(y) be the first derivative of 0*y + 4/5*y**3 - 276 + 3/5*y**4 + 3/25*y**5 + 0*y**2. Factor k(m).
3*m**2*(m + 2)**2/