40)/1120 + 2/(-8))*(4 - 1)/(-9). Let -2/11*v**5 - 8/11*v - 32/11 + 10/11*v**3 + 40/11*v**o - 8/11*v**4 = 0. What is v?
-4, -2, -1, 1, 2
Suppose -4*k + 14 = -2. Suppose 5*t - 4*u - 4 = 0, -4*t + t = -4*u + k. Suppose -2*o**3 - o**3 - 3*o**t - o**5 + 83*o**2 - 84*o**2 = 0. Calculate o.
-1, 0
Suppose -581*l - 60 = -575*l. Let u be ((-4)/40)/(l/8). Find h such that 2/25*h + 8/25*h**2 + u*h**3 - 12/25 = 0.
-3, -2, 1
Let f be (2 - (-210)/(-18))/((-1)/3). Suppose -t - 163 = -5*a, 0 = -a + 2*t - 0*t + f. Factor 10*l**4 - 12*l**4 + 80*l - 12*l**2 - 25 - 16*l**3 + 8 - a.
-2*(l - 1)**2*(l + 5)**2
Let u(w) = -w**2 + 31*w - 166. Let n be 4/10 + (-708)/(-30). Let i be u(n). Factor x**i - 1/2*x - 1/2*x**3 + 0.
-x*(x - 1)**2/2
Let k = 9/1120 + -1/560. Let h(o) be the third derivative of 0 + k*o**6 + 0*o + 8*o**2 + 0*o**5 - 3/32*o**4 + 1/4*o**3. Factor h(g).
3*(g - 1)**2*(g + 2)/4
Let p(y) = 7*y**2 - 440*y + 1975. Let d be p(58). Determine t so that 1/2*t**4 + 0*t**2 + t - t**d - 1/2 = 0.
-1, 1
Let z(p) be the third derivative of -2/3*p**4 + 0*p + 0*p**3 - 5/21*p**7 + 0 - 1/2*p**6 + 6/5*p**5 - 13*p**2. Factor z(b).
-2*b*(b + 2)*(5*b - 2)**2
Let q(g) be the second derivative of -g**6/150 - 446*g**5/25 - 398723*g**4/30 - 264924*g**3/5 - 793881*g**2/10 + 2*g - 1824. Let q(v) = 0. Calculate v.
-891, -1
Let j(g) be the second derivative of g**6/80 + g**5/40 - 3*g**4/4 + 21*g**2 + 23*g + 2. Let l(s) be the first derivative of j(s). Suppose l(d) = 0. Calculate d.
-4, 0, 3
Let w = 875185 + -875175. Factor -w - 16/3*r - 2/3*r**2.
-2*(r + 3)*(r + 5)/3
Let b = -11 - 7. Let h = 1 - b. Factor 18*d**4 - 48*d**2 - 34*d**4 + 3*d - h*d + 60*d**3.
-4*d*(d - 2)**2*(4*d + 1)
Let l(h) be the first derivative of -h**4 + 32*h**3/3 + 56*h**2 - 320*h + 5521. Determine g, given that l(g) = 0.
-4, 2, 10
Suppose 5*y - 3 = -3*m - 0, -3 = 4*y - 3*m. Let r(x) be the first derivative of 5/6*x**6 + 4*x**5 + 25/4*x**4 + y*x + 0*x**2 + 10/3*x**3 - 2. Factor r(l).
5*l**2*(l + 1)**2*(l + 2)
Let t(v) be the first derivative of v**5/5 + v**4/4 - 10*v**3/3 - 2*v**2 + 24*v - 1392. Factor t(z).
(z - 2)**2*(z + 2)*(z + 3)
Let f(s) = -81*s**2 + s - 3. Let l be f(2). Let v = l - -328. Factor 10/9*p - 2/3 - 2/9*p**2 - 2/9*p**v.
-2*(p - 1)**2*(p + 3)/9
Let u(q) be the first derivative of 5*q**3/24 + 1617*q**2/16 + 323*q/4 - 199. Factor u(j).
(j + 323)*(5*j + 2)/8
Suppose -5*a = -r, 30 + 0 = 5*r + 5*a. Let n(m) be the second derivative of 0 + 1/70*m**r - 1/21*m**4 - 1/21*m**3 + 2/7*m**2 + m. Let n(p) = 0. Calculate p.
-1, 1, 2
Let v(b) = 2487*b - 12432. Let d be v(5). Factor 4/9*l**2 - 8/9*l**d + 8/9*l - 2/3 + 2/9*l**4.
2*(l - 3)*(l - 1)**2*(l + 1)/9
Let n(s) = 12*s**4 - 2*s**3 - 17*s**2 + 2*s. Let c(h) = 18*h**4 - 3*h**3 - 26*h**2 + 3*h. Let u(r) = 5*c(r) - 8*n(r). Factor u(d).
-d*(d - 1)*(d + 1)*(6*d - 1)
Let c(j) = -j**2 + j. Suppose -10*y - 32 = -6*y. Let q(i) = -28*i**4 + 48*i**3 - 20*i**2. Let m(b) = y*c(b) + q(b). Let m(v) = 0. Calculate v.
-2/7, 0, 1
Suppose -5*w + 15 = 5*b, w = b + 3*b - 7. Let a be (-32)/(-12) + (-10)/15. Let 0*z**3 + z**b - 2*z**3 - 3*z**a = 0. Calculate z.
-1, 0
Suppose 2*g = 5*g - 3, 0 = 5*c - 4*g + 4. Let j be (-12 + 25 + -13)/(-6 - (-4 + -3)). Solve c*h - 1/2*h**2 + j = 0.
0
Let x(d) be the second derivative of d**3/3 - d**2 + 72*d. Let n(z) = 7*z**3 - 18*z**2 + z + 10. Let y(a) = n(a) + 2*x(a). Suppose y(p) = 0. Calculate p.
-3/7, 1, 2
Suppose -30*b**2 - 14*b**4 + 34*b**4 + 78*b**3 + 8*b**2 - 138 + 1338 - 22*b**4 - 2*b**5 - 820*b = 0. What is b?
-5, 2, 3, 4
Factor -407 - 57*x**4 - 192*x - 349*x**2 - 372*x**3 - 563*x**2 - 3*x**5 + 1111 + 832.
-3*(x - 1)*(x + 4)**3*(x + 8)
Let z be ((-6)/24)/(2/(-2)). Let m be (-5)/(-8) - 12/32. Factor 1/2 - 1/2*q**2 + z*q - m*q**3.
-(q - 1)*(q + 1)*(q + 2)/4
Factor 0 + 13/11*h - 14/11*h**2 + 1/11*h**3.
h*(h - 13)*(h - 1)/11
Suppose 35 = 15*j + 37 - 62. Let i(z) be the second derivative of 2/15*z**6 - j*z + 0 + 1/5*z**5 - 2/21*z**7 - 1/3*z**4 + 0*z**3 + 0*z**2. Factor i(q).
-4*q**2*(q - 1)**2*(q + 1)
Let l(q) be the first derivative of q**3/2 - 81*q**2/4 + 75*q - 135. Factor l(g).
3*(g - 25)*(g - 2)/2
Let q(d) = d**2 - d + 11. Let p(h) = 5*h**2 - 3*h + 25. Let a(f) = p(f) - 3*q(f). Factor a(v).
2*(v - 2)*(v + 2)
Let p(x) be the first derivative of -3/14*x**4 - 4/7*x - 4/21*x**3 + 144 + x**2. Factor p(k).
-2*(k - 1)*(k + 2)*(3*k - 1)/7
Let s(l) be the third derivative of -67*l**5/160 - 199*l**4/64 + 3*l**3/8 + 831*l**2 + 2*l. Factor s(u).
-3*(u + 3)*(67*u - 2)/8
Let u(l) be the third derivative of -l**6/360 + 71*l**5/45 + 95*l**4/24 + 2719*l**2 + 2*l. Determine v, given that u(v) = 0.
-1, 0, 285
Let w(x) be the second derivative of x**7/140 + x**6/80 - x**5/4 + x**4/2 + 87*x**2/2 - 207*x. Let y(s) be the first derivative of w(s). Factor y(v).
3*v*(v - 2)*(v - 1)*(v + 4)/2
Factor 40/3 - 1/9*o**2 + 58/9*o.
-(o - 60)*(o + 2)/9
Let a(t) = 1201*t**3 - 9341*t**2 + 12471*t + 23013. Let w(o) = -600*o**3 + 4670*o**2 - 6235*o - 11505. Let b(k) = -5*a(k) - 9*w(k). Solve b(z) = 0.
-1, 48/11
Let r be ((-6)/8)/(-14*2/336). Let u(m) = -3*m. Let z be u(-4). Factor -r*h + z + 3/2*h**2.
3*(h - 4)*(h - 2)/2
Let x(b) be the second derivative of -b**4/3 - 142*b**3 - 844*b**2 + 854*b - 2. Factor x(g).
-4*(g + 2)*(g + 211)
Let l(j) be the first derivative of -2*j**3/3 - 120*j**2 - 1370. Factor l(v).
-2*v*(v + 120)
Let y(p) = -7*p**2 - 13*p + 11. Let q(u) be the first derivative of 5*u**3/3 + 6*u**2 - 11*u - 25. Let i(c) = -3*q(c) - 2*y(c). Let i(n) = 0. What is n?
-11, 1
Suppose 377 = 31*c + 315. Let n(u) be the first derivative of -12 - 1/30*u**6 + 0*u**c + 0*u**4 + 0*u - 3/25*u**5 + 4/15*u**3. Suppose n(b) = 0. What is b?
-2, 0, 1
Suppose -16*o + 90 = -454. Suppose 0 = -6*l - 4 + o. Factor l*v**3 - 8*v**2 + 10 - 883*v - 2*v**2 + 878*v.
5*(v - 2)*(v - 1)*(v + 1)
Suppose -1060*g + 998 + 1035 + 1147 = 0. Determine t, given that 0 + 7/3*t**2 - 1/3*t**4 + 4/3*t + 2/3*t**g = 0.
-1, 0, 4
Suppose 3/7*f**4 - 13347/7*f**2 - 4443/7*f**3 - 636 - 13353/7*f = 0. Calculate f.
-1, 1484
Let x(n) = -2*n**3 - n**2 - n + 1. Let l(c) = -11*c**3 - 878*c**2 - 1738*c - 862. Let m(w) = l(w) - 3*x(w). Let m(f) = 0. Calculate f.
-173, -1
Let v(m) be the third derivative of -m**7/1260 + m**6/80 - 7*m**5/90 + m**4/4 - 4*m**3/9 - 226*m**2 - 2*m. Factor v(b).
-(b - 4)*(b - 2)**2*(b - 1)/6
Factor 0 + 3/8*n**2 + 51/8*n.
3*n*(n + 17)/8
Let f be 12/2*9/6*(-564)/(-2538). Solve 9*t**f + 3/8*t**3 + 351/8*t - 507/4 = 0.
-13, 2
Let a(u) be the second derivative of u**5/80 - 2*u**4/3 - 517*u**3/24 - 121*u**2/2 + 9462*u. Solve a(r) = 0.
-11, -1, 44
Suppose 3*n - 9 = -4*t - 0, -3*t = 5*n - 15. Let u be (-12)/14 + 689*18/10647 + 0. Suppose 0 + 2/13*d**n + 2/13*d - u*d**2 = 0. Calculate d.
0, 1
Let m = -17485/44 + 4374/11. Find p such that -7/4*p**3 - 5/4*p**4 + m*p**2 + 3/4*p + 0 = 0.
-1, 0, 3/5
Let 96/7*j - 4*j**2 - 54/7 - 16/7*j**3 + 2/7*j**4 = 0. Calculate j.
-3, 1, 9
Factor 399/5*b - 588 + 3/5*b**2.
3*(b - 7)*(b + 140)/5
Suppose -m = -0*m. Suppose m = -5*p - 3*r + 18, 4*p + 5*r = 2*r + 12. Factor 2*j**4 + 18*j**2 + 7*j**3 + j**4 - 21*j**2 - j**3 - p*j.
3*j*(j - 1)*(j + 1)*(j + 2)
Let r(m) = -10*m**2 - 2*m - m + 11 + m**3 - m + 9*m. Let y be r(10). Let y*n - 11*n - 170 - 5*n**2 + 45 = 0. Calculate n.
5
Let o be (-7 - ((7 - -2) + -2))*2/(-288). Let m(h) be the third derivative of 0*h - 1/6*h**3 + o*h**4 + 0 + 1/360*h**6 - 17*h**2 - 1/36*h**5. Factor m(l).
(l - 3)*(l - 1)**2/3
Let l(g) be the first derivative of -g**4/4 + 5*g**3/6 - g**2 + 23*g + 59. Let h(s) be the first derivative of l(s). Find y such that h(y) = 0.
2/3, 1
Factor -144*f**3 + 2417*f + 2988*f**2 - 11337*f + 2*f**4 - 10048*f + 635 + 18967 + 4712*f.
2*(f - 33)**2*(f - 3)**2
Let s = 176 - 152. Find r, given that -2*r**2 + 8 - s*r + 13 + 3*r**2 + 46*r = 0.
-21, -1
Let s(r) = -21*r**5 + 3*r**4 - 24*r**3 + 30*r**2 + 6. Let f(m) = 4*m**5 - m**3 - m**2 - 1. Let z(c) = 6*f(c) + s(c). What is o in z(o) = 0?
-4, 0, 1, 2
Let a(q) = 3*q**3 - 22*q**2 - 12*q - 14. Let g be a(8). Suppose -115*z**3 + 17*z**2 - 16*z**4 + g*z + z**5 + 96*z**3 - z**4 = 0. What is z?
-1, 0, 1, 18
Let h be (-10)/4*(1411/(-85) - -15). Let m(v) be the second derivative of 2/15*v**3 + 0 - 12/5*v**2 + 1/15*v**h - 8*v. Factor m(i).
4*(i - 2)*(i + 3)/5
Let f(c) = -18*c + 525. Let