ppose 3*l + 11*b = 25*b - 20*b, 2*l = 2*b + 6. Find m, given that 0 + 4/3*m + 10/3*m**l + 7/6*m**4 + 3*m**3 + 1/6*m**5 = 0.
-2, -1, 0
Let 754/5*n + 756/5 - 2/5*n**2 = 0. What is n?
-1, 378
Let s(v) be the third derivative of -v**9/12096 + v**7/3360 - 3*v**3/2 - 6*v**2 - 2*v. Let m(t) be the first derivative of s(t). Factor m(p).
-p**3*(p - 1)*(p + 1)/4
Let j(s) = 12*s - 236. Let m be j(20). Let q be (1104/(-84) + m)/(-2). Factor 18/7 + q*o**2 - 8/7*o**3 - 6*o.
-2*(o - 1)*(2*o - 3)**2/7
Let h = -2754 + 5949. Solve x**5 - h*x + x**3 - 9*x**3 + 3195*x + 2*x**4 = 0.
-4, 0, 2
Suppose -4*x = 4*o - 7740, 0 = -3*o + 5*x + 4550 + 1247. Let h = o - 1934. Find l, given that 16/5*l**3 - 4/5*l**2 + 0 + 9/5*l**4 + h*l = 0.
-2, 0, 2/9
Let f(i) = -2*i**2 - 20*i - 44. Let j be 49/(-14)*2*1. Let o(r) = 2*r**2 + 20*r + 43. Let l = -15 - -9. Let q(y) = j*f(y) + l*o(y). What is g in q(g) = 0?
-5
Factor -23/4*p + 1/4*p**2 + 15.
(p - 20)*(p - 3)/4
Let t(j) = -j**2 - 59*j - 178. Let a(n) = 3*n**2 + 237*n + 711. Let s(p) = 2*a(p) + 9*t(p). Factor s(r).
-3*(r + 4)*(r + 15)
Let i(v) be the second derivative of -v**5/600 - v**4/40 - v**3/12 + 81*v**2/2 + v - 15. Let c(u) be the first derivative of i(u). Solve c(h) = 0 for h.
-5, -1
Let w be (-3 - (-1 + 5)) + 1 + -3. Let j be -21*(-6)/w*2/(-4). Find p, given that -2*p + 4*p**4 - 4*p**2 - 4*p - 2*p + j*p**3 + p**3 = 0.
-2, -1, 0, 1
Let f be (-140920)/160 - (-4)/((-4)/7). Let l = f - -889. Solve 45 - 15*v + l*v**2 = 0 for v.
6
Factor 2401*b**2 + 665*b - 2403*b**2 + 507*b + 5068 + 3894*b.
-2*(b - 2534)*(b + 1)
Let x = 124689/7 - 249315/14. Suppose -g**2 - 9/2*g**3 + 2 + x*g - g**4 = 0. What is g?
-4, -1, -1/2, 1
Let o = 2190/53 - 65647/1590. Let j(b) be the second derivative of -1/50*b**5 + 0*b**3 + 0*b**2 + 0 - 51*b + o*b**4. Factor j(s).
-2*s**2*(s - 1)/5
Let w(y) = -84*y**3 + 2536*y**2 - 5044*y + 1888. Let l(c) = 13*c**3 - 390*c**2 + 776*c - 289. Let d(t) = 32*l(t) + 5*w(t). Suppose d(v) = 0. What is v?
1, 48
Let a be 2 + -15 + 60/6. Let p be a*21/(-27) + (36 - 37). What is i in -1/3*i**4 + 0 + 1/3*i**2 + 4/3*i - p*i**3 = 0?
-4, -1, 0, 1
Let l(p) = -9*p - 50. Let t be l(-6). Factor -107*u**2 + 242*u - 2 - 347*u + t.
-(u + 1)*(107*u - 2)
Let n(f) = 2*f**3 - 14*f**2 - 73*f + 421. Let y(o) = -o**3 + 7*o**2 + 36*o - 210. Let a(r) = 6*n(r) + 11*y(r). Factor a(i).
(i - 9)*(i - 4)*(i + 6)
Let k be (126/(-56))/((-294)/112). Factor -6/7*g**2 - 2/7 - 2/7*g**3 - k*g.
-2*(g + 1)**3/7
Let y(g) be the second derivative of g**9/7056 - 11*g**8/3920 - 6*g**3 + g**2/2 - 111*g + 1. Let b(p) be the second derivative of y(p). Solve b(n) = 0.
0, 11
Let u = -10458557 + 17099741354/1635. Let y = u - 1/327. Factor 1/5*x**3 - 7/5*x - y*x**2 - 4/5.
(x - 4)*(x + 1)**2/5
Let h(y) = 5*y**3 - 1105*y**2 - 12845*y - 37965. Let n(b) = 7*b**3 - 1103*b**2 - 12846*b - 37962. Let z(v) = 6*h(v) - 5*n(v). Solve z(r) = 0 for r.
-211, -6
Find l such that -45*l**2 - 300*l - 20 + 28*l**2 + 90*l**2 + 69*l**2 + 13*l**2 = 0.
-2/31, 2
Let r(m) be the third derivative of -m**7/1050 + 7*m**6/50 - 187*m**5/25 + 2312*m**4/15 + 2176*m**2. Factor r(g).
-g*(g - 34)**2*(g - 16)/5
Let c(v) be the third derivative of 3*v**5/20 + v**4 + 16*v**3/3 + v**2 + 56. Let a(j) = -j**2 - j - 3. Let i(s) = 4*a(s) + c(s). Factor i(z).
5*(z + 2)**2
Let x(n) be the third derivative of n**5/30 + 295*n**4/6 + 87025*n**3/3 - 770*n**2. Factor x(z).
2*(z + 295)**2
Let 13467*r**3 + 4*r**5 - 18112*r**2 - 11459*r**3 + 208*r**4 + 26965*r + 9770*r - 7387*r - 13456 = 0. What is r?
-29, 1, 4
Let o(l) be the third derivative of -29*l**6/60 + 49*l**5/15 - 11*l**4/3 - 24*l**3 + 7*l**2 - 30*l + 17. Factor o(m).
-2*(m - 2)**2*(29*m + 18)
Find u, given that -2*u**2 + 2827*u - 3606 + 2791*u - 2009*u - u**2 = 0.
1, 1202
Suppose -790 = -41*i + 30. Let z(c) be the second derivative of -i*c + 0 + 0*c**2 - 1/48*c**4 - 1/3*c**3. Factor z(j).
-j*(j + 8)/4
Let v(p) = -93*p**3 + 432*p**2 - 585*p - 1002. Let m(r) = 7*r**3 - 33*r**2 + 45*r + 77. Let s(w) = -27*m(w) - 2*v(w). Let s(c) = 0. Calculate c.
-1, 5
Factor -1/2*u**2 - 3/2*u + 27.
-(u - 6)*(u + 9)/2
Let p(g) be the second derivative of 19/15*g**5 + 2/63*g**7 + 0 - 14/45*g**6 + 11*g - 25/9*g**4 - 8/3*g**2 + 32/9*g**3. Solve p(u) = 0 for u.
1, 2
Let c(u) be the second derivative of u**7/70 - 7*u**6/40 + u**5/2 + 12*u**2 + 2*u - 3. Let q(i) be the first derivative of c(i). Let q(x) = 0. What is x?
0, 2, 5
Let k(p) = -3*p**2 + 4*p + 104 - 30*p + 94. Let f(u) = -2*u**2 + u + 1. Let t(z) = -10*f(z) + 5*k(z). Solve t(s) = 0.
14
Factor -1/7*x**3 + 1/7*x + 51/7 - 51/7*x**2.
-(x - 1)*(x + 1)*(x + 51)/7
Let c(i) be the third derivative of -i**7/42 + 11*i**6/24 + 21*i**5/2 - 9669*i**2. Suppose c(q) = 0. Calculate q.
-7, 0, 18
Factor -7/2*w**4 - 9*w - 1/4*w**5 + 0 - 61/4*w**3 - 21*w**2.
-w*(w + 1)**2*(w + 6)**2/4
Let m be (1984/(-48))/(-124) + 2 + ((-34)/12 - -2). Let 3/2*a**2 + 0 - 3/8*a**3 - m*a = 0. Calculate a.
0, 2
Suppose -6*l = -16*l + 360. Suppose 51 = l*y - 33*y. Factor -6 + 34*t - y - 28*t**2 - 154*t - 9.
-4*(t + 4)*(7*t + 2)
Let r(w) be the third derivative of w**8/40320 + w**7/2520 - w**6/288 + w**5/60 + w**3/3 - 34*w**2. Let d(y) be the third derivative of r(y). Factor d(p).
(p - 1)*(p + 5)/2
Let y(f) = 7*f**2 - 61*f + 214. Let p(k) = 4*k**2 - 30*k + 116. Let b(a) = -5*p(a) + 3*y(a). Factor b(i).
(i - 31)*(i - 2)
Let a(y) = -29*y - 362. Let d(l) = 29*l + 365. Let g(b) = -5*a(b) - 4*d(b). Let r be g(-12). Suppose 4/3 - 2*u + r*u**3 - 2/3*u**2 - 2/3*u**4 = 0. Calculate u.
-1, 1, 2
Let z(r) = 360*r**2 - 22120*r + 2701090. Let a(c) = -41*c**2 + 2458*c - 300121. Let o(m) = 35*a(m) + 4*z(m). Factor o(q).
5*(q - 245)**2
Let z be 1/((-14)/18 - 30/135). Let a(f) = f**4 - f**3 - f**2. Let n(g) = 3*g**4 + 21*g**3 - 3*g**2 - 20*g. Let m(q) = z*a(q) - n(q). Let m(t) = 0. What is t?
-5, -1, 0, 1
Let g(q) be the first derivative of -5*q**4/4 - 135*q**3 - 7995*q**2/2 + 8405*q + 261. Suppose g(a) = 0. What is a?
-41, 1
Let -5764*j**2 - 223*j - 35 + 5888*j**2 - 29 + 35*j - 7*j**3 = 0. What is j?
-2/7, 2, 16
Suppose 20 = 6*m - 16. Let z be 45/(-75) - (m/15 + -3). Factor 0*b + 4/11*b**z + 0 - 2/11*b**3.
-2*b**2*(b - 2)/11
Let n be ((-4)/24)/((-16)/(-816)) + 12. Factor 1/2*h**3 + 3 + 0*h**2 - n*h.
(h - 2)*(h - 1)*(h + 3)/2
Suppose 4*f + 24 = 48. Determine p so that -6*p**3 + 7*p**4 + f*p**3 - 6*p - 17*p**2 - 4*p**3 = 0.
-1, -3/7, 0, 2
Let j(r) be the third derivative of r**5/80 + 299*r**4/32 - 915*r**3/4 + 12074*r**2. Factor j(a).
3*(a - 6)*(a + 305)/4
Let u = -2083 - -2083. Let c(f) be the second derivative of 0*f**3 + 0*f**2 + 25*f + 0*f**4 + 1/70*f**5 + u + 1/105*f**6. What is i in c(i) = 0?
-1, 0
Let a(y) = 85*y**2 - 660*y + 1680. Let j(k) = 7*k**2 - 55*k + 140. Let x = 79 + -104. Let u(f) = x*j(f) + 2*a(f). Factor u(r).
-5*(r - 7)*(r - 4)
Let y = -277805 + 277808. Factor -3/8*r**y - 1/8*r**4 + r + 3/4*r**2 + 0.
-r*(r - 2)*(r + 1)*(r + 4)/8
Let z(s) be the first derivative of -10/3*s**3 + 204 + s**5 - 5/4*s**4 + 0*s**2 + 0*s. Solve z(l) = 0 for l.
-1, 0, 2
Let l(y) be the third derivative of y**6/900 + 263*y**5/150 + 69169*y**4/60 + 18191447*y**3/45 + 1269*y**2. Find u, given that l(u) = 0.
-263
Let m(g) = g**2 - 7*g + 11. Let b be m(6). Suppose -j + b*q - 6 = -3*j, q = 0. Suppose j*o**3 + 2*o**5 - 4*o**2 + 4*o**2 - o**3 + 4*o**4 = 0. What is o?
-1, 0
Let x be (-8 + 385/45)*(-60)/(-200). Let d(n) be the second derivative of -6*n**2 - 7/3*n**3 + 0 + 8*n - x*n**4. Factor d(g).
-2*(g + 1)*(g + 6)
Suppose 64/7*w**4 - 94608/7*w + 104976/7 + 2336/7*w**3 + 16132/7*w**2 = 0. Calculate w.
-81/4, 2
Suppose -4*d - 5*x + 8*x = 39, -x + 1 = 0. Let a be (0 + (-12)/32)/(d/12). Solve 1/2*w**3 - a*w**2 + 0 + 5/2*w**4 + 3/2*w**5 + 0*w = 0.
-1, 0, 1/3
Let n = -214 + 219. What is u in -7*u**5 - 4*u**5 + 23*u**5 + 10 - 3*u**5 - 10*u**2 - 4*u**n + 15*u - 20*u**3 = 0?
-1, 1, 2
Factor -6/5 + j**3 + 7/5*j**2 - j - 1/5*j**4.
-(j - 6)*(j - 1)*(j + 1)**2/5
Let m(h) be the second derivative of -h**6/45 - 73*h**5/30 - 143*h**4/18 - 71*h**3/9 + 88*h - 1. Suppose m(x) = 0. Calculate x.
-71, -1, 0
Let m(d) be the second derivative of -1/3*d**4 + 12*d**2 + 0 - 76*d + 2/3*d**3. Determine x, given that m(x) = 0.
-2, 3
Let y(j) be the second derivative of -j**5/90 + 16*j**4/27 - 31*j**3/27 + 2448*j. Suppose y(a) =