 + 2*p + 26. Let b be c(-10). Suppose 0 = -5*t + 4*y - 5, 4*y - 26 - b = -4*t. Factor 0 - 1/5*w**4 + 1/5*w**2 + 1/5*w**t - 1/5*w.
-w*(w - 1)**2*(w + 1)/5
Let d(r) be the third derivative of -1/105*r**7 + 0*r + 0*r**3 - 1/588*r**8 + 1/210*r**5 + 13*r**2 - 1/70*r**6 + 0 + 1/42*r**4. Find q such that d(q) = 0.
-2, -1, 0, 1/2
Let o = -34009/7 + 4859. Solve -2/7*z**3 + 0 + o*z + 2/7*z**2 = 0 for z.
-1, 0, 2
Let f be 8/(-12) + (-182)/(-21) + -8. Factor f + 3*h**4 + 3/2*h**2 + 0*h - 15/4*h**3 - 3/4*h**5.
-3*h**2*(h - 2)*(h - 1)**2/4
Find r such that 21*r - 49/2*r**2 - 9/2 = 0.
3/7
Let n(s) be the third derivative of 1/240*s**5 + 0*s**4 + 0*s + 0*s**3 + 0*s**6 + 0 - 1/840*s**7 + 23*s**2. Factor n(j).
-j**2*(j - 1)*(j + 1)/4
Suppose -44*a - 36 = -50*a. Let l(f) be the third derivative of 0 - 4/9*f**3 - 4*f**2 + 7/360*f**a + 1/2*f**4 + 0*f - 1/6*f**5. Factor l(u).
(u - 2)**2*(7*u - 2)/3
Suppose 0 = 4*p - 5*k + 22 - 24, -p = -3*k + 3. Solve 5/2*r**2 - 5/2*r**4 - 5*r + 0 + 5*r**p = 0 for r.
-1, 0, 1, 2
Let c be 96/45 + 26/(-195). Let n(w) = -w**3 - w**2. Let f(j) = 4*j**4 - 13*j**3 - 11*j**2 + 6*j. Let h(p) = c*f(p) - 6*n(p). Let h(u) = 0. Calculate u.
-1, 0, 1/2, 3
Let t(f) = -44*f**4 - 4*f**3 + 20*f**2 + 4*f - 48. Let l(z) = 2*z**4 - z**3 + z + 1. Let s(o) = -24*l(o) - t(o). Factor s(q).
-4*(q - 6)*(q - 1)**2*(q + 1)
Factor -4 - 3*i + 0 + 14 - i**2 + 0.
-(i - 2)*(i + 5)
Suppose -3*n + 2*l - l + 45 = 0, 5*l = 0. Suppose -n*o = -11*o - 12. Determine v, given that 3/7*v**2 - 3/7*v - 2/7 + 2/7*v**o = 0.
-2, -1/2, 1
Let p(y) = y**2 + 2*y - 10. Let k be p(-5). Factor -7*q**3 + 2*q**2 + k*q**4 + 40*q - 3*q**3 - 22*q**2.
5*q*(q - 2)**2*(q + 2)
Suppose -5*x + 365 = 140. Let b = -134/3 + x. Factor -4/3*h + 8/3*h**2 + 0 - 5/3*h**3 + b*h**4.
h*(h - 2)**2*(h - 1)/3
Suppose -631 = -26*f - 3*f - 109. Factor -f*r + 54 + 3/2*r**2.
3*(r - 6)**2/2
Let r(f) = 12*f - 36. Let k be r(5). Let i be -1*7/k + 18/27. Determine t, given that i*t**2 + 3/8*t + 1/8*t**3 + 1/8 = 0.
-1
Let k(w) be the third derivative of 0*w**4 + 0*w**5 + 0*w**3 + 1/780*w**6 + 0*w + 8*w**2 + 0. Determine h, given that k(h) = 0.
0
Let i(h) be the first derivative of -44*h**6/63 - 16*h**5/5 - 199*h**4/42 - 158*h**3/63 + 8*h/21 - 127. Find k, given that i(k) = 0.
-2, -1, -1/2, 2/11
Let a(q) be the first derivative of q**3/12 + 17*q**2/8 + 4*q + 215. Factor a(y).
(y + 1)*(y + 16)/4
Let k(x) = 2*x**2 - 6*x + 7. Let t be k(2). Let n(i) be the second derivative of -i + 0 + 1/54*i**4 - 1/27*i**t - 2/9*i**2. Factor n(g).
2*(g - 2)*(g + 1)/9
Let h(f) be the second derivative of -f**6/105 + 6*f**5/35 - 11*f**4/21 - 4*f**3 - 7*f**2 - 38*f + 2. Find m, given that h(m) = 0.
-1, 7
Let j(y) = 3*y**2 + 10*y + 3. Let p be j(0). Factor 1/4*c**4 + 0 - 1/2*c**2 + 0*c - 1/4*c**p.
c**2*(c - 2)*(c + 1)/4
Let u(r) be the first derivative of -13 + 8/3*r**3 - 12*r + 4*r**4 + 4/5*r**5 - 8*r**2. Find o such that u(o) = 0.
-3, -1, 1
Let m(n) = n**2 + 21*n - 96. Let s be m(-25). Let y(b) be the third derivative of 1/4*b**3 + 0 - 1/320*b**6 + 11*b**2 - 1/8*b**s + 0*b + 1/32*b**5. Factor y(u).
-3*(u - 2)**2*(u - 1)/8
Let f = 22837 + -22834. Factor 24/7 + 16/7*u - 2/7*u**f - 2/7*u**2.
-2*(u - 3)*(u + 2)**2/7
Let x(z) be the third derivative of z**7/168 - 13*z**6/120 + 5*z**5/12 - z**4/3 + 2*z**2 - 205. Factor x(d).
d*(d - 8)*(d - 2)*(5*d - 2)/4
Suppose 3 = 3*m - 6. Suppose 4*k = m*k. Determine r, given that 2 + k*r**3 - 8*r**4 + 5*r**3 - r**4 - 5*r + 7*r**4 = 0.
-1, 1/2, 1, 2
Factor -j**4 - 76*j**3 + 86*j**3 + 20*j**2 - 4*j**4 - 40*j.
-5*j*(j - 2)**2*(j + 2)
Factor 6*z**3 - 2*z**3 + 58 - 12*z**2 - 75*z - 5 - z**3 + 31.
3*(z - 7)*(z - 1)*(z + 4)
Let j be (-4)/(-34) + ((-3952)/1989)/(-19). Let j*c**2 + 2/3*c - 4/9 + 2/9*c**4 - 2/3*c**3 = 0. What is c?
-1, 1, 2
Suppose 4*l - 2*s - 20 = 0, 8*s - 6 = 3*l + 10*s. Determine d so that 1/6*d**l - 1/2*d - 5/3 = 0.
-2, 5
Let l(j) be the second derivative of j**3/6 - 15*j**2/2 - 2*j. Let p be l(19). Find t such that p*t**4 + 12*t + 0*t**2 - 4 - 8*t**3 + 0*t**2 - 4*t = 0.
-1, 1
Let n(k) = 10*k - 5. Let c = 7 - 12. Let i(w) be the second derivative of -w**5/20 - w**3/6 + w**2/2 - 6*w. Let o(z) = c*i(z) - n(z). Solve o(v) = 0 for v.
-1, 0, 1
Suppose -2/5*v**3 - 484/5 + 8*v**2 - 154/5*v = 0. Calculate v.
-2, 11
Let n(d) = -2*d**4 + 29*d**3 + 25*d**2 - 3*d + 3. Let r(g) = -8*g**4 + 115*g**3 + 101*g**2 - 11*g + 11. Let w(o) = -22*n(o) + 6*r(o). Find m such that w(m) = 0.
-1, 0, 14
Let j(l) = -l**2 - 85*l + 1616. Let w be j(16). Let -1/5*n**2 - 2/5*n**3 + 0*n + w - 1/5*n**4 = 0. What is n?
-1, 0
Suppose 1/6 - 4/3*u**2 - 7/6*u = 0. Calculate u.
-1, 1/8
Suppose 5*c - i = 3, -47*c + 45*c - 4*i - 12 = 0. Suppose 6/5*j**3 + c*j + 0 - 8/5*j**2 + 2/5*j**4 = 0. What is j?
-4, 0, 1
Let p be (819/(-455))/(-2 + 14/10). Factor 48/5*v**p + 27/5 - 9*v - 24/5*v**2.
3*(v + 1)*(4*v - 3)**2/5
Let u = -53 - -65. Determine d, given that -12*d + 395*d**2 - 195*d**2 + u - 203*d**2 + 3*d**3 = 0.
-2, 1, 2
Let w(l) = l**3 - 4*l**2 + 5. Let x be w(4). Let u(a) be the first derivative of x + 6*a + 2/9*a**3 - 2*a**2. Solve u(c) = 0.
3
Suppose 2*x = -2*u, 10*u - 8*x - 42 = -4*x. Solve k**2 + 0*k**u - 1/3*k**4 + 0 - 2/3*k = 0.
-2, 0, 1
Let d(z) = z**3 - 3*z**2 - 4*z + 2. Suppose -8*u + 12 = -5*u. Let o be d(u). Solve 4*h + 0 + h**o + 0 - 2*h = 0.
-2, 0
Suppose 0 + 18 = 2*s + 3*n, -s = 5*n - 23. Factor y**2 + 4*y - 50 - 4*y**2 + 26*y + 21*y**2 + 2*y**s.
2*(y - 1)*(y + 5)**2
Let l(v) be the first derivative of -v**8/84 - v**7/105 + v**6/60 - 13*v**2/2 + 5. Let n(z) be the second derivative of l(z). Factor n(b).
-2*b**3*(b + 1)*(2*b - 1)
Let g(u) be the first derivative of 0*u**3 + 0*u + 0*u**2 + 0*u**4 + 21 - 2/45*u**5. Factor g(m).
-2*m**4/9
Let v(j) = j**3 + 8*j**2 + 2. Let w be v(-8). Let f = 3299 + -13189/4. Determine d so that 2 - f*d**3 + 7*d - 1/2*d**w = 0.
-2, -2/7, 2
Let g = 47110 - 29349373/623. Let m = 3/89 + g. Factor 0*i + m - 2/7*i**2.
-2*(i - 1)*(i + 1)/7
Let t(k) = -2*k + 17. Let x be t(7). Let v(z) be the second derivative of 2*z - 1/72*z**4 - 1/36*z**x + 1/6*z**2 + 0. Suppose v(q) = 0. What is q?
-2, 1
Let c(t) = 4*t**3 - 5*t**2 - 16*t - 1. Let i be (2 + 3)*1 - 0. Let m(z) = 5*z**3 - 5*z**2 - 15*z. Let o(j) = i*c(j) - 6*m(j). Let o(n) = 0. Calculate n.
-1, 1/2, 1
Suppose 0 = -6*b + 4*g + 28, -3*b + 20*g - 10 = 24*g. Factor -1/4*m**3 + 3/4*m**b + 0*m - 1.
-(m - 2)**2*(m + 1)/4
Let i(s) be the third derivative of s**7/630 + s**6/90 + s**5/30 - 59*s**4/24 - 17*s**2. Let z(u) be the second derivative of i(u). Factor z(q).
4*(q + 1)**2
Let t(j) be the second derivative of j**7/5040 - j**6/2160 - 17*j**3/6 - 13*j. Let k(v) be the second derivative of t(v). Find q, given that k(q) = 0.
0, 1
Let m(k) be the first derivative of -15/4*k**3 - 4 + 225/8*k**2 + 3/16*k**4 - 375/4*k. Factor m(d).
3*(d - 5)**3/4
Let c(s) be the first derivative of s**4 - 56*s**3/3 + 50*s**2 - 48*s + 19. Factor c(a).
4*(a - 12)*(a - 1)**2
Suppose 4802*v - 731*v**3 + 251*v**2 + 733*v**3 - 55*v**2 = 0. What is v?
-49, 0
Let d(p) be the second derivative of 8*p**6/15 + 12*p**5/5 - 21*p**4 + 104*p**3/3 - 24*p**2 + p - 2. Factor d(f).
4*(f - 2)*(f + 6)*(2*f - 1)**2
Suppose 0 - 1/5*z - 7/5*z**2 = 0. Calculate z.
-1/7, 0
Let s(r) be the first derivative of -r**4/42 - 2*r**3/7 - 8*r**2/21 + 40*r/7 - 251. Determine a so that s(a) = 0.
-6, -5, 2
Suppose 603*u + 378 = 792*u. Solve -10/3*k + 1/3*k**u + 0 = 0.
0, 10
Suppose j = 14 + 9. Suppose 3*m = -w + 20 + 10, 218 = 5*w - 2*m. Factor -w*g**4 + 23*g**4 + j*g**4 - 4*g**3.
4*g**3*(g - 1)
Factor 3*g + 45/4 - 9/4*g**2.
-3*(g - 3)*(3*g + 5)/4
Let a be (6/2)/3 + 3. Factor 8*p**2 - 2*p**3 + 8*p**3 - 113*p + 2*p**5 + 105*p - 8*p**a.
2*p*(p - 2)**2*(p - 1)*(p + 1)
Let r(k) be the second derivative of 2*k**6/15 + 19*k**5/5 + 17*k**4/3 - 38*k**3/3 - 36*k**2 + 32*k - 10. Find d, given that r(d) = 0.
-18, -1, 1
Solve 19 - 18*m**2 - 138 - 159 + 156*m - 84 + 24 = 0 for m.
13/3
Find y, given that -294/11*y - 182/11*y**2 - 34/11*y**3 + 0 - 2/11*y**4 = 0.
-7, -3, 0
Let q(n) be the second derivative of 1/18*n**4 + 0*n**2 - 2*n + 0 + 1/9*n**3. Factor q(t).
2*t*(t + 1)/3
Let a be (-3)/((-75)/30*9/15). Suppose -8/5*v + 6/5 + 2/5*v**a = 0. What is v?
1, 3
Suppose p + 5*b - 20 = 4*b, -2*b = 5*p - 103. Let s = p - 18. Factor -3*k**5