l(u). Factor f(j).
4*(j - 5)*(j - 2)*(j + 2)**2
Let x(f) be the second derivative of -10*f + 2/15*f**3 + 4/5*f**2 + 1/120*f**4 + 0. Factor x(u).
(u + 4)**2/10
Let o(t) be the second derivative of -t**5/90 - t**4/18 + 7*t**2 + 14*t. Let d(b) be the first derivative of o(b). Solve d(q) = 0.
-2, 0
Let s be (-56)/176*(-2 - (-50)/35). Find f, given that 2/11 + s*f**2 + 4/11*f = 0.
-1
Let v be 1/(-5)*0/39. Suppose 1/3*p**2 - 1/3*p**3 + v*p + 0 = 0. What is p?
0, 1
Factor 2/7*k**2 + 40/7 - 6*k.
2*(k - 20)*(k - 1)/7
Let v = 27991/13 + -2153. Factor 8/13 + 2/13*z**3 - v*z**2 - 8/13*z.
2*(z - 2)*(z - 1)*(z + 2)/13
Let z(o) = o**3 - 9*o**2 + 11*o - 20. Let p be z(8). Factor -1017 + 15*d**3 + 10*d**2 + 5*d**p + 1017.
5*d**2*(d + 1)*(d + 2)
Let w(s) = s**3 - 9*s**2 - 9*s - 12. Let f be w(10). Let x be -10*3*f/12. Factor -x*r**2 - r + r.
-5*r**2
Find q, given that -9/2*q**2 + 0 + 3*q**4 - 3/4*q**5 - 3/4*q**3 + 0*q = 0.
-1, 0, 2, 3
Let g(a) be the first derivative of a**4/2 + 46*a**3/3 + 43*a**2 + 42*a + 240. Determine p so that g(p) = 0.
-21, -1
Let h = 261 - 257. Let u(n) be the first derivative of -23/4*n**3 - 4 + 21/16*n**h + 9/4*n**2 + 0*n. Find r such that u(r) = 0.
0, 2/7, 3
Let g(j) = -2*j**2 - 24*j - 3. Let x(z) = 3*z**2 + 42*z + 5. Let h(d) = 5*g(d) + 3*x(d). Factor h(t).
-t*(t - 6)
Let j(d) be the second derivative of -d**6/10 - 573*d**5/20 - 3024*d**4 - 124928*d**3 + 393216*d**2 + 763*d. Solve j(t) = 0 for t.
-64, 1
Let o(q) = -20*q**4 + q**3 + 99*q**2 + 6*q - 65. Let l(c) = 11*c**4 - c**3 - 51*c**2 - 3*c + 32. Let i(m) = -7*l(m) - 4*o(m). Let i(w) = 0. Calculate w.
-4, -1, 1, 3
Suppose s - 8 = 4*u, -6*s - 3*u + 32 = -2*s. Suppose 0 = p - 3*i - 14, -2*p - 4*i = 2*p + s. Suppose 1/3*g**p + 2/3*g + 0 = 0. Calculate g.
-2, 0
Let r(q) = q**2 + 11*q + 32. Let p be r(-4). Let k be p/10 + 7/70. Factor 0 - 1/2*v**2 + k*v.
-v*(v - 1)/2
Let j(g) be the second derivative of -g**4/42 - 106*g**3/21 - 2809*g**2/7 - g + 6. Suppose j(i) = 0. What is i?
-53
Let j(y) = -y**2 + 4*y + 20. Let p be j(7). Let z be ((-4)/(-30))/p + 1/3. Suppose 0 + 1/5*o**3 + z*o**2 + 0*o = 0. What is o?
-1, 0
Let u(c) be the first derivative of 25*c**4/4 - 70*c**3/3 + 22*c**2 - 8*c - 51. Determine t so that u(t) = 0.
2/5, 2
Let -54 - 33*h - 44*h**2 - 64*h**2 - 46*h**2 + 3*h**3 - 42*h**2 + 220*h**2 = 0. Calculate h.
-9, -1, 2
Suppose -4*p - 5*z - 39 = -8, -5*z - 32 = 3*p. Solve 1/2*l**2 + 1/4*l**3 - 7/4*l + p = 0.
-4, 1
Let y(k) be the second derivative of 5*k**7/42 + k**6/30 - k**5/5 - 606*k. Let y(b) = 0. What is b?
-1, 0, 4/5
Suppose 0 = -27*a + 143*a - 348. Let 4/3*m**a + 0 - 2/3*m**2 + 0*m - 2/3*m**4 = 0. What is m?
0, 1
Let o = -3304 - -3307. Factor 1/6*i**2 - 2/3*i**o + 0 + 0*i + 1/2*i**4.
i**2*(i - 1)*(3*i - 1)/6
Factor -5*g**3 + 2*g**4 - 219*g**2 - 6*g**4 + 217*g**2 - g**5.
-g**2*(g + 1)**2*(g + 2)
Let a be (4/(-10))/((-8)/40). Let 2*c**2 + 34*c**3 + a*c - 9*c**3 - 7*c + 18*c**2 = 0. Calculate c.
-1, 0, 1/5
Let h(d) be the third derivative of -d**7/525 + 2*d**5/75 + d**2 - 11*d. Determine v, given that h(v) = 0.
-2, 0, 2
Let z(h) be the third derivative of -h**5/450 - 38*h**4/45 - 5776*h**3/45 + 10*h**2 + 4*h. Factor z(a).
-2*(a + 76)**2/15
Let m(s) be the third derivative of s**7/630 + s**6/180 + 5*s**4/24 + 2*s**2. Let v(p) be the second derivative of m(p). Find n, given that v(n) = 0.
-1, 0
Let y be 18/(-4)*(15/(-20) - -1). Let l = y - -43/24. Find w such that l*w**4 + 0 + 0*w - 2/3*w**3 + 0*w**2 = 0.
0, 1
Let z(w) be the first derivative of -15*w**4/4 - 265*w**3/3 - 205*w**2 - 160*w - 38. Let z(b) = 0. Calculate b.
-16, -1, -2/3
Let w be (645/30 + -21)/((-20)/(-128)). Factor 8/5*o + 0 + 6/5*o**3 + w*o**2.
2*o*(o + 2)*(3*o + 2)/5
Let t = -95 + 5701/60. Let j(b) be the second derivative of 0*b**2 + b + 0 - 1/30*b**3 + t*b**4. Suppose j(h) = 0. Calculate h.
0, 1
Suppose -5*l = -5*w - 115, -5*l - w = -25 - 90. Find x, given that -15*x + 4*x**2 - 36 - x**2 + 41 - l = 0.
-1, 6
Let f(x) be the third derivative of 0*x - 1/40*x**6 + 3/8*x**4 + 1/10*x**5 + 0 - 4*x**2 + 0*x**3. Solve f(k) = 0.
-1, 0, 3
Let d(g) be the third derivative of 0*g - 1/54*g**3 + 0 - 12*g**2 - 1/180*g**5 + 2/945*g**7 + 5/216*g**4 - 1/216*g**6. Solve d(y) = 0 for y.
-1, 1/4, 1
Let k(t) = -t**2 + t. Let p(m) = -2*m**4 + 4*m**3 + 11*m**2 - 13*m. Let s = 23 - 20. Suppose -4 = s*g - 10. Let o(c) = g*p(c) + 18*k(c). Factor o(d).
-4*d*(d - 2)*(d - 1)*(d + 1)
Let n = -230 + 20. Let j = n - -1892/9. Solve 0*s + 0*s**3 - 2/3*s**4 + j*s**2 + 0 + 4/9*s**5 = 0.
-1/2, 0, 1
Let v be (-2 + (-4)/16)/((-345)/230). Solve 0 + v*a**2 - 3/2*a = 0 for a.
0, 1
Let l(u) be the second derivative of -u**6/210 - u**5/140 + u**4/12 + u**3/42 - 3*u**2/7 + 236*u. Solve l(y) = 0.
-3, -1, 1, 2
Let a be -16 - (6 + -3 - 3). Let p = -12 - a. Factor -8*t + 0 - t**2 + 0*t**5 - 4 + 6*t**4 + t**5 + 7*t**3 - t**p.
(t - 1)*(t + 1)**2*(t + 2)**2
Suppose 4*a = 0, u + 1 = -3*a + 6. Let g(n) = n**3 - 4*n**2 - 4*n. Let j be g(u). Factor 4 + 6 + 2*k**2 + 3*k**2 - j*k - 10*k.
5*(k - 2)*(k - 1)
Find g, given that 1/3*g**2 + 8*g + 23/3 = 0.
-23, -1
Let i(m) = -6*m**3 + 8*m**2 + 41*m + 27. Let d(z) = 11*z**3 - 17*z**2 - 81*z - 53. Let s(w) = 3*d(w) + 5*i(w). Factor s(o).
(o - 6)*(o + 1)*(3*o + 4)
Let f = 1596 + -1584. Let k(z) = -32*z**2 - 12*z + 8. Let a(j) = 0*j - 3 + 0*j**2 + 5*j + 13*j**2. Let c(p) = f*a(p) + 5*k(p). Suppose c(o) = 0. What is o?
-1, 1
Let l(c) be the first derivative of -5*c**4/4 + 35*c**3 - 360*c**2 + 1620*c + 158. Factor l(p).
-5*(p - 9)*(p - 6)**2
Let q(y) = -8*y**4 + 7*y**3 - 6*y**2 + 3*y + 3. Let s(j) = -105*j**4 + 90*j**3 - 80*j**2 + 40*j + 40. Let i(k) = -40*q(k) + 3*s(k). Factor i(u).
5*u**3*(u - 2)
Factor 132/5 - 164/5*f - 16/5*f**2.
-4*(f + 11)*(4*f - 3)/5
Let o be (-8 - 2) + 10 + 1 + 1. Let v(n) be the third derivative of 0 - 1/30*n**5 + n**o + 0*n - 1/315*n**7 - 1/36*n**4 + 0*n**3 - 1/60*n**6. Factor v(q).
-2*q*(q + 1)**3/3
Let u(w) be the second derivative of 0*w**3 + 1/90*w**4 - 1/150*w**5 + 0*w**2 + 0 + 6*w. Find a such that u(a) = 0.
0, 1
What is z in -1/3*z**2 - 1/3*z**3 + 2/3*z + 0 = 0?
-2, 0, 1
Let o be 45/(-35) + 1 + 38/35. Factor -w**2 - o*w + 0 - 1/5*w**3.
-w*(w + 1)*(w + 4)/5
Let d = 41 - 38. Let x(b) be the first derivative of -1/4*b**4 + 0*b**d + 0*b + 1/2*b**2 + 2. Factor x(o).
-o*(o - 1)*(o + 1)
Find n such that -38*n**2 + 117*n**2 + 432*n + 313*n**2 - 972 + 98*n**3 + 64*n**2 + 4*n**4 - 18*n**3 = 0.
-9, -3, 1
Factor -4/7*z + 2/7*z**2 - 2/7*z**4 + 0 + 4/7*z**3.
-2*z*(z - 2)*(z - 1)*(z + 1)/7
Let w(f) be the second derivative of f**6/90 - f**5/15 - f**4/12 + 5*f**3/9 + 4*f**2/3 + 7*f - 7. Solve w(h) = 0.
-1, 2, 4
Let h = -116 + 117. Let g be ((-3)/((-54)/(-4)))/(h/(-9)). Let 0 - 1/4*z**4 + 1/4*z**g + 1/4*z**3 - 1/4*z**5 + 0*z = 0. Calculate z.
-1, 0, 1
Let g(b) = b**3 + 7*b**2 + 4*b + 30. Let d be g(-7). Let i(y) be the first derivative of -3 + 0*y - d*y**2 + 1/2*y**4 + 2/3*y**3. Determine s so that i(s) = 0.
-2, 0, 1
Find i, given that -702*i + 4*i**2 - 388 + 318*i + 3*i**2 - 3*i**2 = 0.
-1, 97
Let j(p) be the first derivative of 46 - 27/8*p**2 - 1/4*p**3 - 6*p. Determine d so that j(d) = 0.
-8, -1
Let a be (-54)/(-72) + 1/((-80)/12). Find l such that 18/5 + 39/5*l + 24/5*l**2 + a*l**3 = 0.
-6, -1
Suppose 4*f = -5*g + 1291 + 139, 2*g + 5*f - 555 = 0. Determine x, given that -290 + g - 8*x - 2*x**2 = 0.
-4, 0
Let v(d) be the second derivative of 1/40*d**6 + 0*d**2 - 1/8*d**3 + 3/80*d**5 - 1/16*d**4 + 16*d + 0. Find m, given that v(m) = 0.
-1, 0, 1
Let t(g) be the third derivative of -30*g**2 + 0*g**3 - 1/480*g**6 + 1/96*g**4 - 1/840*g**7 + 0 + 1/240*g**5 + 0*g. Find o such that t(o) = 0.
-1, 0, 1
Let t(x) be the second derivative of x**7/42 - x**6/10 - x**5/20 + x**4/4 + 705*x. Factor t(o).
o**2*(o - 3)*(o - 1)*(o + 1)
Let q(p) = -3*p**3 - p**2 - p - 1. Let o be q(-1). Suppose 1/2*j + 0 + 1/4*j**o - 1/4*j**3 = 0. What is j?
-1, 0, 2
Let t(r) = -10*r**3 + 22*r**2 - 46*r - 6. Let b(p) = -9*p**3 + 23*p**2 - 45*p - 5. Let z(a) = 6*b(a) - 5*t(a). Factor z(q).
-4*q*(q - 5)*(q - 2)
Let y(j) be the second derivative of -9/20*j**5 + 1/4*j**4 + 1/14*j**7 + 0 - 10*j + 0*j**2 + j**3 - 1/10*j**6. Factor y(w).
3*w*(w - 2)*(w - 1)*(w + 1)**2
Factor 14/9*b**3 + 2*b + 16/3*b**2 + 0.
2*b*(b + 3)*(7*b + 3)/9
Factor 559*m**2 + 4