u + 21792. Let r(k) = 5*c(k) - 6*g(k). Factor r(z).
-5*(z - 66)**2
Let c(a) = a**3 - a**2 + a - 3. Let n be c(2). Suppose -3*j - 12 + 0 = -f, -42 = -5*f - n*j. Factor f*q**3 + 2*q**2 + 3*q - 2*q**4 - q**4 - 13*q**2 + 2*q**2.
-3*q*(q - 1)**3
Let v(m) = 9*m**4 - 6*m**3 + 12*m**2 + 6*m. Let i(x) be the first derivative of x**5/5 + x**4/4 + x**2/2 - 22. Let l(a) = -6*i(a) + v(a). Factor l(q).
3*q**2*(q - 2)**2
Let c be ((-4)/(-6))/((-94)/(-423)). Find r, given that 3*r - 12*r**3 - 36*r**c + 429*r**2 - 405*r**2 - 7*r + 32*r**4 = 0.
0, 1/2
Let w(z) = 4*z**3 - 36*z - 31. Let v be (-48)/(-18) - 2 - (-2)/6. Let k(s) = s**3 + s + 1. Let n(i) = v*k(i) + w(i). Find c, given that n(c) = 0.
-2, -1, 3
Let i(z) be the second derivative of -1/5*z**5 - 144*z**2 - 14/3*z**4 - 40*z**3 - 11*z - 4. Factor i(m).
-4*(m + 2)*(m + 6)**2
Let s be (6/(-4))/(6/4 + -2). Let 145*r + 88 - 5*r**s + 51*r**2 - 13 + 14*r**2 = 0. What is r?
-1, 15
Suppose -81 + 3 = -6*x. Suppose -x*t + 130 = -0*t. Suppose a**3 + 14*a**2 + 3*a**3 - t*a**2 - 24*a = 0. Calculate a.
-3, 0, 2
Let g(d) = -14*d + 184. Let i be g(13). Suppose 5*h**5 - 6*h**4 + 0*h**2 + 14*h**5 + 24*h + 2*h**3 + 26*h**2 + 8 - 4*h**i - 21*h**5 = 0. What is h?
-2, -1, 2
Suppose o + 4*o = 15. Suppose -o + 15 = 3*j. Factor -3 + 57*s**2 - 55*s**2 - j*s + 9*s.
(s + 3)*(2*s - 1)
Let q(x) be the first derivative of -x**5/35 - x**4/42 + 35*x + 5. Let m(a) be the first derivative of q(a). Factor m(s).
-2*s**2*(2*s + 1)/7
Let h(o) be the third derivative of -o**8/16800 + o**7/1575 - o**6/450 - 13*o**4/6 + 58*o**2. Let t(n) be the second derivative of h(n). Factor t(i).
-2*i*(i - 2)**2/5
Let o = 179197/6 - 29762. Let u(t) be the third derivative of 125/8*t**4 - 5/4*t**5 + 0 + 0*t + 1/24*t**6 - o*t**3 + 42*t**2. Find x, given that u(x) = 0.
5
Let y(c) be the second derivative of -c**4/24 - 73*c**3/4 + 3292*c - 1. Factor y(t).
-t*(t + 219)/2
Let v(i) be the second derivative of 3*i**7/49 - 11*i**6/105 - 79*i**5/70 + 33*i**4/14 - 6*i**3/7 - 769*i + 3. Solve v(b) = 0.
-3, 0, 2/9, 1, 3
Let i = -2/16163 + 113147/48489. Let x(n) be the first derivative of -4*n + 1/6*n**4 + 0*n**3 + 4 - i*n**2. Factor x(j).
2*(j - 3)*(j + 1)*(j + 2)/3
Suppose -3*c + 26 = 5. Suppose 5 = 3*j - c. Let 4 + j*b**5 - 12*b**4 + 8*b**2 - 17*b + 12*b + 8*b**3 - 7*b = 0. What is b?
-1, 1
Let q(h) be the second derivative of 2*h**6/105 - 67*h**5/35 - 68*h**4/21 - 1014*h. Find s, given that q(s) = 0.
-1, 0, 68
Let t(b) = -4*b**2 + 30*b - 30. Let s(r) = r + 1. Suppose 3 = 2*m + 1. Suppose -6*j - 67 = -31. Let d(p) = j*s(p) + m*t(p). What is h in d(h) = 0?
3
Suppose 0*h - 4*b = 2*h + 3780, 3*b = -5*h - 9415. Let s = h + 1904. Solve -s*a + 21/2*a**2 - 3/2*a**3 + 18 = 0 for a.
2, 3
Let j = 8 - 8. Let t be ((-4)/35)/(28/(-350)*5). Factor -2/7*l**2 + j - t*l.
-2*l*(l + 1)/7
Suppose -30*z + 820 = 11*z. Suppose -15 = 5*u, -17*u - 6 = -5*q - z*u. Find d such that -49/8*d**q + 1 + 63/4*d**2 - 15/2*d = 0.
2/7, 2
Let w(l) be the second derivative of 2*l**6/15 - 103*l**5/5 + 901*l**4 - 1734*l**3 + 2*l + 821. Let w(h) = 0. What is h?
0, 1, 51
Let n(b) be the third derivative of -91*b**6/360 - 55*b**5/36 + b**4/36 + 4*b**3/3 - 3*b**2 - 19*b - 7. Suppose n(l) = 0. What is l?
-3, -4/13, 2/7
Let g(v) = -4*v**4 - 2*v**3 + 10*v**2 - 5*v + 5. Let h(n) = 17*n**4 + 7*n**3 - 40*n**2 + 21*n - 21. Let o(p) = 21*g(p) + 5*h(p). Factor o(w).
w**2*(w - 5)*(w - 2)
Let t(y) be the second derivative of 4/105*y**7 - 2/75*y**6 + 0*y**2 - 1/15*y**3 - 9/50*y**5 + 108*y - 11/60*y**4 + 0. Factor t(l).
l*(l - 2)*(2*l + 1)**3/5
Let z(l) be the second derivative of 5/12*l**4 + 16 - 15/2*l**2 + 2*l - 5/3*l**3. Factor z(b).
5*(b - 3)*(b + 1)
Let t(x) be the second derivative of -7*x**6/45 + 11*x**5/10 + 19*x**4/9 - 44*x**3/3 - 40*x**2/3 + 709*x - 2. Solve t(s) = 0 for s.
-2, -2/7, 2, 5
Factor -84*l**3 - 127*l**5 - 130*l**5 + 383*l**5 + 136*l**2 - 80*l - 128*l**5 + 22*l**4.
-2*l*(l - 5)*(l - 2)**3
Let o(p) be the second derivative of -p**8/336 + p**7/105 - p**5/30 + p**4/24 + 28*p**2 - 67*p. Let t(f) be the first derivative of o(f). Factor t(g).
-g*(g - 1)**3*(g + 1)
Suppose 5*c + 3*n = 702 + 753, 0 = 2*c + 5*n - 601. Determine v so that -5*v + c*v**2 - 12 - 10*v**3 + 2 - 263*v**2 = 0.
-1/2, 1, 2
Let a = -1856 + 1860. Let m(z) = 18*z - 68. Let d be m(a). Determine y, given that -5/4*y**2 - 1/4*y**5 + 5/4*y**3 - y + 1 + 1/4*y**d = 0.
-2, -1, 1, 2
Suppose -2*n - 3*h - 2 = -n, -2*n + 3*h = -32. Let o be n/(-50)*-5*2/8. Solve 0 - 3/4*p**3 + 3/4*p**4 + 0*p + 1/4*p**2 - o*p**5 = 0.
0, 1
Let k be ((-2)/(-210))/(38/475). Let i(v) be the second derivative of -1/70*v**5 + 23*v - k*v**4 + 5/7*v**2 + 0 + 1/21*v**3. Suppose i(o) = 0. Calculate o.
-5, -1, 1
Let r = 6899 + 7292. Factor -14191*o**2 - 2*o**3 + r*o**2 + 4 + 6*o.
-2*(o - 2)*(o + 1)**2
Let w(z) be the second derivative of 0 + 1/3*z**6 + 0*z**2 - 30*z - 5/6*z**4 - 2/5*z**5 - 1/42*z**7 + 3/2*z**3. Find t, given that w(t) = 0.
-1, 0, 1, 9
Let k(o) be the first derivative of 20/3*o**3 - 90*o - 15/2*o**2 + 5/4*o**4 + 19. Factor k(h).
5*(h - 2)*(h + 3)**2
Suppose -c - 16 = -9*c. Let -32*g**c - 19*g**3 - 21*g**3 + 60*g**3 + 4*g**2 - 4*g**4 + 12*g = 0. Calculate g.
0, 1, 3
Factor 4/5*s**2 - 68*s + 664/5.
4*(s - 83)*(s - 2)/5
Suppose 54938*j = 54884*j + 1728. Factor -5/4*d**4 + j*d + 0 - 39/2*d**3 - 72*d**2.
-d*(d + 8)**2*(5*d - 2)/4
Let y be (2580/5590)/((-18)/(-1534)). What is m in y*m + 56*m**2 - 6*m**3 + 20/3 = 0?
-1/3, 10
Let t(u) be the second derivative of -u**5/70 - 142*u**4/21 + 802*u. What is q in t(q) = 0?
-284, 0
Determine s so that 112/9 + 2/9*s**4 - 22/3*s**2 - 44/9*s - 4/9*s**3 = 0.
-4, -2, 1, 7
Let a(r) be the second derivative of -r**7/126 - r**6/15 - 13*r**5/60 - r**4/3 - 2*r**3/9 - 30*r + 12. Find y, given that a(y) = 0.
-2, -1, 0
Suppose -32 = -4*b + 260. Determine z, given that 10*z - 7 - 2*z**3 + 64*z - b + 10 + 21*z**2 - 23*z**2 = 0.
-7, 1, 5
Let g(h) be the third derivative of -h**7/210 - 7*h**6/40 + 3*h**5/4 + 675*h**4/8 - 1310*h**2 - 2*h. Factor g(q).
-q*(q - 9)*(q + 15)**2
Let z = 2139326/3 + -713102. Factor -50/3 - z*t - 2/3*t**2.
-2*(t + 5)**2/3
Let y(f) = -11*f**2 + 62*f + 1. Let d(o) = 65*o**2 + 29*o - 70*o**2 - 2 - 2 + 4. Let m(a) = -13*d(a) + 6*y(a). Factor m(w).
-(w - 1)*(w + 6)
Suppose 206*s + 4 - 4 = 325*s. Solve s*c - c**3 + 0*c**2 - 1/2*c**4 + 0 + 3/2*c**5 = 0 for c.
-2/3, 0, 1
Let m be (0/(-2 - 18))/(-2 - -4). Let k(r) be the second derivative of -4*r + 0 + 1/72*r**4 + 0*r**2 + m*r**3. What is p in k(p) = 0?
0
Factor 3*y**4 + 23*y**2 + 45 + 446*y - 404*y - 42*y**3 - 39*y**2 - 32*y**2.
3*(y - 15)*(y - 1)*(y + 1)**2
Let o = -20041 + 220463/11. Let d(j) be the first derivative of 1/11*j**2 - 1/22*j**4 + 28 - 4/11*j**3 + o*j. Factor d(i).
-2*(i - 1)*(i + 1)*(i + 6)/11
Let t = -126 - -126. Suppose 0 = -t*j - j + 3*y - 3, 0 = 2*j - 4*y + 4. Find x, given that 0 + j*x**3 + 4/3*x**4 - 4/3*x**2 + 0*x = 0.
-1, 0, 1
Let d(z) = 368*z**4 - 2464*z**3 - 14664*z**2 - 15912*z - 84. Let g(q) = -67*q**4 + 448*q**3 + 2666*q**2 + 2894*q + 15. Let t(u) = 5*d(u) + 28*g(u). Factor t(v).
-4*v*(v + 2)**2*(9*v - 92)
Let t(f) be the first derivative of f**3/3 - 785*f**2 + 616225*f - 2189. Factor t(s).
(s - 785)**2
Let t = -316 + 318. Let a(n) = 3*n**3 + 15*n**2 - 12*n - 42. Let h(z) = -3*z**3 - 14*z**2 + 12*z + 44. Let b(m) = t*a(m) + 3*h(m). Factor b(x).
-3*(x - 2)*(x + 2)*(x + 4)
Let w = 16297/45 - 3254/9. Let v(p) be the first derivative of 21/4*p**4 + 11 + w*p**5 + 15*p**3 + 0*p + 27/2*p**2. Factor v(u).
3*u*(u + 1)*(u + 3)**2
Suppose 2*w = -2*z + 3*w + 23, 5*w = -5*z + 35. Let h = z + -4. Solve 2*k**4 - 4 + 2*k**3 - h*k**2 - 10*k + 7*k**4 - 7*k**4 = 0.
-1, 2
Let k(d) be the second derivative of d**6/10 + 39*d**5/20 + 51*d**4/4 + 35*d**3/2 - 150*d**2 - 502*d. Solve k(w) = 0.
-5, -4, 1
Suppose 5*b + 3*z - 36 = 21, b = 3*z - 3. Factor 10*m**2 + 6*m + 2*m**2 + b*m + 2*m**3 + m.
2*m*(m + 2)*(m + 4)
Suppose -4*l - 24 = -4*s, -3*s = 29*l - 34*l - 22. Suppose 0 + 455*t**s + 0 + 72*t**3 - 320*t**4 + 75*t**5 + 12*t**2 = 0. Calculate t.
-1, -2/5, 0
Let f(m) = m**3 + 8*m**2 + 7*m + 6. Let h be f(-7). Let v be (h - 8 - -1) + 1. Suppose v - 4/5*z**2 + 0*z + 8/5*z**3 - 4/5*z**4 = 0. Calculate z.
0, 1
Let a be (1 - 1)/((-4)/2). Suppose a = -60*c + 28*c. Solve c - 32/5*m*