Let p(a) = 22*a + 176. Let g be p(-9). Let z be g/(-24) + (-20)/30. Suppose 0*u - 1/4*u**5 + z*u**3 + 1/4*u**4 + 0 - 1/4*u**2 = 0. What is u?
-1, 0, 1
Let y = -15308 - -15312. Let j(c) be the first derivative of 23 + y*c**5 - 20*c**3 + 5/4*c**4 - 10*c - 55/2*c**2. Factor j(p).
5*(p - 2)*(p + 1)**2*(4*p + 1)
Let j(s) be the second derivative of 0 + 63*s + 9/2*s**2 - 5/4*s**3 + 1/8*s**4. Suppose j(h) = 0. Calculate h.
2, 3
Suppose 5*i = 3*t - 1, -2*t = 2*i - 3 - 3. Let d(o) = -5*o**3 + 56*o**2 + 121*o - 19. Let y be d(13). Solve t*u**3 + 24*u**5 + y*u**5 + 4*u**4 - 55*u**5 = 0.
-1, 0
Suppose -4*y = 13*y + 9*y. Suppose 3*a - 25 = -5*v, y*v + 4*v + a = 13. Factor 8/5 - 8/5*m**3 - 12/5*m**v + 12/5*m.
-4*(m - 1)*(m + 2)*(2*m + 1)/5
Let d(c) be the first derivative of c**4 - 44*c**3/3 - 2*c**2 + 44*c - 1903. Factor d(o).
4*(o - 11)*(o - 1)*(o + 1)
Factor 6081*a**2 + 44591*a**2 + 4912 - 324*a**3 + 48652*a**2 + 44192*a.
-4*(a - 307)*(9*a + 2)**2
Let z(u) = 4*u**2 - 1763*u + 193624. Let k(w) = 12*w**2 - 5288*w + 580864. Let f(h) = 3*k(h) - 8*z(h). Let f(r) = 0. Calculate r.
220
Find w, given that 11*w**3 - 12*w**3 + 33 - 69 - w**2 - 16*w + 40*w = 0.
-6, 2, 3
Let s be (-5)/(5 + -8 + 2*1). Factor -16*u**s - 2*u**3 - 1 + 8*u + 13*u**4 - 12*u**2 - 25*u**5 + 49*u**5 - 14*u**5.
-(u - 1)**3*(u + 1)*(6*u - 1)
Suppose 32 = 4*y - 4*z, 4*z = -y - 7 - 0. Let b(c) = 7*c**2 - 128*c + 240. Let f(i) = 5*i**2 - 85*i + 160. Let o(h) = y*b(h) - 8*f(h). Factor o(w).
-5*(w - 4)**2
Let j be ((-3)/(-42)*-1)/(4830/(-287385)). Factor 1/4*q**2 - 9/2*q + j.
(q - 17)*(q - 1)/4
Let r be (429/(-3))/11 - -18. Let w(b) be the second derivative of 0*b**2 + 1/10*b**r + 15*b - 2/3*b**3 + 0 - 1/6*b**4. Suppose w(h) = 0. What is h?
-1, 0, 2
Let k be (-3 + 3 + -3)/((-18)/4326). Let w = k - 718. Find y such that -121/3*y**w + 0 - 4/3*y + 44/3*y**2 = 0.
0, 2/11
Suppose 114 = 31*m - 33*m. Let w = -54 - m. Determine l, given that -w*l - 5*l - 3*l**2 + 5*l = 0.
-1, 0
Let o(y) be the second derivative of 26*y**6/15 + 2*y**5/5 - 13*y**4 + 40*y**3/3 + 8*y**2 - 74*y - 8. Solve o(p) = 0.
-2, -2/13, 1
Let q(u) be the second derivative of -1/25*u**5 + 16/15*u**3 + 0*u**2 + 2/15*u**4 + 64*u + 0. Suppose q(f) = 0. What is f?
-2, 0, 4
Let c(w) be the first derivative of -w**3/3 + 169*w**2/2 + 1232*w - 10982. Factor c(s).
-(s - 176)*(s + 7)
Let l(n) be the second derivative of -n**4/36 - 496*n**3/9 - 123008*n**2/3 + 555*n. What is m in l(m) = 0?
-496
Let l(p) be the second derivative of -p**4/3 + 3142*p**3/5 + 3772*p**2/5 + 2*p + 2066. Factor l(a).
-4*(a - 943)*(5*a + 2)/5
Suppose -2*g - 84 = 64. Let q = 133 + g. Solve -12 + q*u**4 + 12*u**3 + 72*u - 14*u**4 - 67*u**2 - 50*u**2 = 0.
-2, 1/3, 2/5, 1
Let w = 247/2916 - 1/729. Let d(r) be the first derivative of -2/3*r**2 + 5 + 8/3*r - 2/9*r**3 + w*r**4. Factor d(x).
(x - 2)**2*(x + 2)/3
Let a(k) be the second derivative of -k**5/70 - 163*k**4/42 + 1857*k + 1. Suppose a(j) = 0. What is j?
-163, 0
Let o be (-993)/4*-2*(-224)/(-42). Factor -8516*t - 896*t**3 - t**5 + 6272 + 366*t**3 + 2020*t - 3*t**5 + 2*t**5 + 52*t**4 + o*t**2.
-2*(t - 7)**2*(t - 4)**3
Let g(c) = 2*c**3 - c**2 + 2*c. Let v = -47 - -48. Let n be g(v). Suppose -6*a**n - 20*a**2 - 4*a**3 + 20*a**5 - 12*a**4 - 13*a**4 + 35*a**2 = 0. What is a?
-3/4, 0, 1
Let k(l) be the third derivative of -l**7/245 + 12*l**6/35 + 156*l**5/35 + 160*l**4/7 + 432*l**3/7 - 14*l**2 + 3*l. Solve k(w) = 0.
-2, 54
Let k be 522 - -12*(-10)/20. Let u = k + -4636/9. Let -2/9*f**2 - u + 8/9*f = 0. What is f?
2
Let w(r) = 18*r - 51. Let x be w(3). Find g, given that 13*g - x*g**2 + g**4 + 0*g**4 - 5*g - 6*g = 0.
-2, 0, 1
Let y(n) be the second derivative of -n**6/72 + 41*n**5/12 - 8405*n**4/24 - 10*n**3/3 + 2*n**2 + 81*n. Let c(u) be the second derivative of y(u). Factor c(t).
-5*(t - 41)**2
Let t(l) be the third derivative of l**7/42 + 7*l**6/4 - 93*l**5/4 + 535*l**4/6 - 160*l**3 + 1175*l**2 + l - 2. Factor t(w).
5*(w - 4)*(w - 1)**2*(w + 48)
Let g(c) be the second derivative of -7*c**4/24 + 305*c**3/24 + 33*c**2/4 + 12*c - 23. Factor g(v).
-(v - 22)*(14*v + 3)/4
Let v(s) be the third derivative of s**5/240 - 883*s**4/96 - 221*s**3/6 + 4*s**2 - 182. Suppose v(j) = 0. Calculate j.
-1, 884
Suppose 2*w + 30 = 9*j, 2*w + w - 1 = 2*j. Let h(z) be the first derivative of 1/12*z**j + 2/3*z - 2/9*z**3 + 14 - 1/6*z**2. Suppose h(a) = 0. Calculate a.
-1, 1, 2
Let u be 74/14 - ((-480)/35 + 14). Let h(z) be the second derivative of -9/11*z**3 - 27/11*z**2 + 10*z - 3/22*z**4 + 0 - 1/110*z**u. What is b in h(b) = 0?
-3
Let i(l) be the second derivative of l**7/84 - 2*l**6/15 + 19*l**5/40 - l**4/2 + 1374*l. Factor i(v).
v**2*(v - 4)*(v - 3)*(v - 1)/2
Let g be (-60)/4*((-14)/(-91) + 19/(-39)). Let b(h) be the second derivative of 0*h**2 + 3/20*h**g + 0 + 0*h**3 - 14*h + 0*h**4. Factor b(r).
3*r**3
Let u = -56788627/247 + 229913. Let r = -6/19 - u. Factor -r - 4/13*f - 2/13*f**2.
-2*(f + 1)**2/13
Let y(z) be the first derivative of z**3/24 + 115*z**2/8 - 231*z/8 + 2775. Solve y(c) = 0 for c.
-231, 1
Suppose -2*s - s + 222 = 0. Let z = s - 74. Determine l, given that -24*l - 5*l**3 - 156*l + z*l - 60*l**2 = 0.
-6, 0
Let w = -17 + 19. Factor 108*j**3 + 40*j**4 + 3 - 3 + 3*j**2 + 4*j**5 + 69*j**w.
4*j**2*(j + 1)*(j + 3)*(j + 6)
Let n = 169 + -70979/420. Let v(l) be the third derivative of 0 - 1/210*l**5 - 1/7*l**3 - n*l**6 + 5/84*l**4 - 18*l**2 + 0*l. Find t, given that v(t) = 0.
-3, 1
Let f(h) be the first derivative of -h**6/40 + h**5/12 - h**4/18 - 5*h**2/2 + 4*h - 56. Let g(d) be the second derivative of f(d). Factor g(x).
-x*(3*x - 4)*(3*x - 1)/3
Let g(v) be the second derivative of v**8/168 - v**6/20 + v**5/15 + 4*v**2 - 38*v. Let a(o) be the first derivative of g(o). Determine n so that a(n) = 0.
-2, 0, 1
Let s(h) be the second derivative of -h**4/18 + h**3 + 12*h**2 - 2*h - 362. Factor s(y).
-2*(y - 12)*(y + 3)/3
Let x(v) be the third derivative of v**5/690 + 7*v**4/46 + 245*v**3/69 - 337*v**2 - 1. Determine y, given that x(y) = 0.
-35, -7
Let t(m) = -42*m**2 + 72*m + 390. Let x(b) = 9*b**2 + 3. Let u(f) = -t(f) - 5*x(f). Find s such that u(s) = 0.
-15, -9
Factor -3/2*b**3 - 15*b**2 + 0 + 36*b.
-3*b*(b - 2)*(b + 12)/2
Let j(i) be the first derivative of -5*i**8/84 - 2*i**7/35 + 2*i**6/5 - 4*i**5/15 + 143*i**2 + 253. Let w(q) be the second derivative of j(q). Solve w(t) = 0.
-2, 0, 2/5, 1
Let s(q) be the third derivative of -11/60*q**4 - 36*q + q**2 - 2/5*q**3 + 0 - 1/300*q**6 - 1/25*q**5. Solve s(m) = 0.
-3, -2, -1
Let v(y) be the second derivative of -5*y**4/12 + 4635*y**3 - 38669805*y**2/2 + 9095*y. Factor v(u).
-5*(u - 2781)**2
Factor -273/2*i + 3/2*i**3 + 90 - 351/4*i**2.
3*(i - 60)*(i + 2)*(2*i - 1)/4
Let u(p) be the third derivative of -p**5/20 - 69*p**4/2 + 277*p**3/2 + 40*p**2 - 29*p - 1. Factor u(n).
-3*(n - 1)*(n + 277)
Suppose -4*y + 5*y - 30 = 0. Factor 21*v - 71*v**2 + 9*v**3 + y*v + 0*v + 3*v**4 - 18 + 26*v**2.
3*(v - 1)**3*(v + 6)
Let v(h) = -h**3 - 3*h**2 + 5*h - 23. Let g be v(-5). Let i be g/6 - (-5 + (-64)/(-12)). Let 0*z + 4/5*z**4 + 0*z**2 + i + 0*z**3 = 0. What is z?
0
Factor -40*n**2 - 68*n + 126*n**2 - 48*n**2 - 42*n**2 + 440.
-4*(n - 5)*(n + 22)
Let z(y) = 37*y**3 - 43*y**2 + 6*y + 4. Let m(b) = -110*b**3 + 128*b**2 - 18*b - 11. Let w = -386 + 397. Let c(v) = w*z(v) + 4*m(v). What is u in c(u) = 0?
0, 2/11, 1
Let h(s) be the third derivative of -s**7/4200 + s**6/300 - s**5/75 + 11*s**3/2 + 4*s**2 + 25. Let z(v) be the first derivative of h(v). Factor z(x).
-x*(x - 4)*(x - 2)/5
Let p(q) be the third derivative of q**6/360 - 37*q**5/60 + 73*q**4/24 - 109*q**3/18 - 1785*q**2. Factor p(h).
(h - 109)*(h - 1)**2/3
Let d(y) be the third derivative of 0 + 0*y + 1125/13*y**3 - 2475/52*y**4 + 159/13*y**5 - 1/2184*y**8 + 47/1365*y**7 - 85*y**2 - 383/390*y**6. Factor d(i).
-2*(i - 15)**3*(i - 1)**2/13
Determine b, given that 1067/5*b**3 + 0 + 92*b**2 - 726/5*b**4 + 44/5*b = 0.
-2/11, 0, 11/6
Factor 12/7*v - 3/7*v**2 + 12/7 - 3/7*v**3.
-3*(v - 2)*(v + 1)*(v + 2)/7
Let m be (-2)/(-1*(-1)/(-2)*6*2/12). Find l, given that -48*l**m - 4*l - 106/3*l**2 - 90*l**3 + 0 + 32/3*l**5 = 0.
-1, -1/4, 0, 6
Let d(y) be the third derivative of -y**5/180 - 25*y**4/12 + 151*y**3/18 - 107*y**2 + 6*y. Factor d(f).
-(f - 1)*(f + 151)/3
Let a