 17*q**2 - 1. Determine b, given that p(b) = 0.
-15, -5, 1
Let d(v) be the second derivative of 0 + v + 1/6*v**6 - 10*v**3 + 65/12*v**4 - 3/2*v**5 + 10*v**2. Let d(y) = 0. What is y?
1, 2
Suppose w - 5*w - 4*t + 264 = 0, 5*w - 322 = -t. Factor 44*f**3 - w*f**2 + 44*f - 9*f**3 - 7*f**3 + 1 - 9.
4*(f - 1)**2*(7*f - 2)
Let x be (6 - 6)/(0 - (12/6 - 1)). Let x - 1/5*l**2 + 1/5*l = 0. Calculate l.
0, 1
Let d be -2 - (101/(-100) + -1). Let j(h) be the third derivative of -d*h**5 - h**2 + 0*h + 1/5*h**3 + 1/40*h**4 + 0. Suppose j(u) = 0. What is u?
-1, 2
Let d(g) = 2*g**3 + g**2 + 1. Let z(f) = -4*f**3 + 23*f**2 + 22*f - 5. Let m(j) = 18*d(j) + 2*z(j). Factor m(n).
4*(n + 1)**2*(7*n + 2)
Let i = -1119 - -3361/3. Let q(u) be the second derivative of 0 - i*u**3 + 3*u**2 + 1/6*u**4 - 6*u. Suppose q(l) = 0. What is l?
1, 3
Let o(k) be the third derivative of 2*k**5/15 + 11*k**4/6 + 10*k**3 - 35*k**2. Factor o(f).
4*(f + 3)*(2*f + 5)
Let t(d) = d**2 + 8*d - 8. Let y be t(-6). Let w be 18/15 - ((-24)/y)/3. Suppose -8/5*b**2 - 12/5*b + w*b**3 + 0 = 0. Calculate b.
-1, 0, 3
Let d(y) = 20*y**2 + 70*y + 15. Suppose -3*n + 0*n + 6 = 0. Let z(u) = 3*u**2 + 10*u + 2. Let r(a) = n*d(a) - 15*z(a). Factor r(m).
-5*m*(m + 2)
Determine n so that -2/7*n**4 + 0*n**3 + 0 + 0*n + 18/7*n**2 = 0.
-3, 0, 3
Let u be 12/(-30) + (-32)/(-30). Suppose -b - 2*b + 6 = 0. Let -u*d**b + 2/3 + 0*d = 0. What is d?
-1, 1
Let f(i) be the third derivative of -1/18*i**4 + 1/9*i**3 + 1/90*i**5 + 0 + 33*i**2 + 0*i. Factor f(o).
2*(o - 1)**2/3
Find o, given that -1/7*o**3 + 5/7 + o**2 - 11/7*o = 0.
1, 5
Let h(u) be the first derivative of u**4 - 152*u**3 + 6264*u**2 + 26912*u - 996. Factor h(i).
4*(i - 58)**2*(i + 2)
Let h be ((-10)/(-12))/((-6)/(-8)). Let u be (-36)/(-18)*((-4)/(-24) - (-21)/9). What is l in -4/9 - 4/9*l**4 + 10/9*l**u + h*l + 8/9*l**2 - 20/9*l**3 = 0?
-1, 2/5, 1
Factor -3/8*g**4 - 3/4*g**3 + 0*g + 3*g**2 + 0.
-3*g**2*(g - 2)*(g + 4)/8
Let d be 43/117*24/(-130)*-10. Let a = -2/169 + d. Factor 0*x + 2*x**2 - a*x**3 - 8/3.
-2*(x - 2)**2*(x + 1)/3
Let 0 + 148/3*s**3 + 192*s - 2*s**4 - 320*s**2 = 0. What is s?
0, 2/3, 12
Suppose -4*x = -13 - 7. Factor -x*s**2 + s**4 - 4*s**4 + 8*s**2.
-3*s**2*(s - 1)*(s + 1)
Let q be 0 + (-18)/(-4)*4. Let x = -196 - -208. Solve q - m**2 - x*m - m**2 + 4*m**2 = 0 for m.
3
Let t be 8 + (-2 + 0 - -2). Factor -4*s**3 + 0*s**2 - 2*s**2 - s**2 - s**2 + t*s.
-4*s*(s - 1)*(s + 2)
Suppose 3*u + 4*u + 378 = 0. Let n = u - -56. Solve 0*m + 0 - 2/3*m**n = 0 for m.
0
Let a(n) be the second derivative of n**5/5 - 4*n**4/3 - 6*n + 22. Factor a(q).
4*q**2*(q - 4)
Let o(z) = -z**2 - 18*z + 2. Let j(u) = -u**2 - 21*u + 28. Let v be j(-23). Let a be o(v). Suppose 4/5*d**a - 4/5 + 0*d = 0. What is d?
-1, 1
Let c(s) be the third derivative of 0*s**5 + 0*s**4 + 0*s**6 + 0*s - 1/1344*s**8 + 14*s**2 + 0*s**3 + 0 + 1/840*s**7. Factor c(l).
-l**4*(l - 1)/4
Suppose -5*r + 45 = 45. Let h(x) be the first derivative of r*x + 2/9*x**3 - 2 + 1/3*x**2. Factor h(p).
2*p*(p + 1)/3
Find c, given that -c**4 + 113*c**2 - 16 + 7*c**4 + 46*c - 155*c**2 - 4*c**4 + 10*c**3 = 0.
-8, 1
Let m(a) = -3*a**2 - 3*a + 77. Let d(n) = n**2 + n - 26. Let x(u) = 17*d(u) + 6*m(u). Factor x(k).
-(k - 4)*(k + 5)
Let m = -76 + 80. Determine c, given that 0*c + 10*c - 9 + 2*c**m + 3*c**3 - 13*c**3 + 1 + 6*c**2 = 0.
-1, 1, 4
Let g = 1659 - 11603/7. Factor g*a**2 - 2*a + 6/7 - 2/7*a**3.
-2*(a - 3)*(a - 1)**2/7
Suppose 3*h = -0*h. Suppose z = 3*g - 6, -4*g + 5*z + 0 - 3 = h. Factor 2*o**2 - 9*o + 0*o - 2 + 8*o + o**3 + 0*o**g.
(o - 1)*(o + 1)*(o + 2)
Let q(p) = 2*p - 4. Suppose -x - n + 4 = 0, 4*n = -3*x + 10 + 3. Let i be q(x). Suppose 0*z - 2/5*z**3 + 0 + 0*z**i - 2/5*z**4 = 0. What is z?
-1, 0
Factor -5/4*k**3 + 75/4*k**2 + 55 - 60*k.
-5*(k - 11)*(k - 2)**2/4
Let h = 6709 - 6709. Let -2*w**3 + 2*w**2 + 0 - 29/2*w**4 + h*w - 21/2*w**5 = 0. Calculate w.
-1, -2/3, 0, 2/7
Let r be 360/54*(288/15)/4. Factor r - 1/2*t**3 - 24*t + 6*t**2.
-(t - 4)**3/2
Let t(p) = p**2 - 10*p + 6. Let d be t(9). Let u be -8*1/12*d. Factor -9*v**4 + 12*v**2 + 10*v**3 + 3*v**2 - 6*v + u*v**3.
-3*v*(v - 2)*(v + 1)*(3*v - 1)
Suppose -2*d = 15*d - 969. Let m be ((-19)/d - (-7)/3)/1. Factor -1/2*b**3 + 3*b - 4/3 - 7/6*b**m.
-(b - 1)*(b + 4)*(3*b - 2)/6
Suppose c - 1 = k, -2*k - 7 = -5*c + 2*k. Suppose 2*a + a - 9 = 0, 1 = -u + 3*a. Factor 19*m**3 - 11*m**c - 4*m**3 - u*m**2.
4*m**2*(m - 2)
Let v(u) be the second derivative of u**6/180 + u**5/6 - 23*u**4/72 - 7*u**3/6 + 101*u. Factor v(n).
n*(n - 2)*(n + 1)*(n + 21)/6
Let k(j) be the first derivative of j**3/9 - 5*j**2/3 + 8*j - 213. Determine x so that k(x) = 0.
4, 6
Let u = -237 - -632. Let j = u - 1571/4. Factor -3/4*a + 3/2 - j*a**2.
-3*(a + 1)*(3*a - 2)/4
Suppose -37*s - 125 = -199. Factor 1/4*r**s + 0 + 3/4*r.
r*(r + 3)/4
Find o such that -2/9*o**3 + 0*o + 2/9*o**2 + 0 = 0.
0, 1
Factor 128*k**2 + 3136 + 35*k**3 - 4*k**3 - 5*k**3 + 1232*k - 12*k**3 - 10*k**3.
4*(k + 4)*(k + 14)**2
Let z(x) be the third derivative of 0 + 0*x**4 + 1/90*x**5 + 0*x + 23*x**2 + 7/360*x**6 + 1/126*x**7 + 0*x**3. Factor z(d).
d**2*(d + 1)*(5*d + 2)/3
Find p, given that p**2 + p**2 - 15 - 8 - 2*p**3 + 4*p**2 + 15 = 0.
-1, 2
Let r be (-4)/(-72) + (-451)/(-792). Determine y, given that r*y**2 - 1/8*y - 1/4 - 1/4*y**3 = 0.
-1/2, 1, 2
Let f(l) be the first derivative of -l**4/10 + 14*l**3/15 + 4*l**2/5 - 56*l/5 + 566. Determine w so that f(w) = 0.
-2, 2, 7
Let j = 1/6901 - -27601/20703. Let -j*m**3 + 10/3*m - 1 + 3*m**2 = 0. What is m?
-1, 1/4, 3
Let m(f) = -f**3 - 5*f**2 - 5*f + 3. Let x be m(-4). Let k be ((-4)/7)/((-2)/x). Factor h**4 - 9*h**2 + 8*h**3 + k*h - 19*h**2 - 4*h**4 + 21*h**2.
-h*(h - 1)**2*(3*h - 2)
Let u = 15 - 12. Let -3*b**2 + 3*b**u - 6 + 9 + 0 - 3*b = 0. What is b?
-1, 1
Let q = -96 + 66. Let r be (q/(-56))/((-36)/(-126)). Factor -3*p + 3/2 + r*p**2 - 3/8*p**3.
-3*(p - 2)**2*(p - 1)/8
Let p(w) be the first derivative of 2*w**5/25 - 2*w**3/5 + 2*w**2/5 - 31. Determine n so that p(n) = 0.
-2, 0, 1
Suppose w + 4*i + 4 = 0, 6*w - 2*w + 5*i = 6. Find d, given that -17*d**4 + 4*d**4 + 12*d**2 + 9*d**w - 8*d = 0.
-2, 0, 1
Let h(p) = p**2 + 33*p. Let k(b) = 3*b**2 + 164*b. Let l(c) = 11*h(c) - 2*k(c). Factor l(x).
5*x*(x + 7)
Let m = 149 + -107. Let f be (18/m)/(4/7). Factor 81/4*n - 81/4 - 27/4*n**2 + f*n**3.
3*(n - 3)**3/4
Let i be ((-37)/(-28))/(11/((-539)/84)). Let h = i - -15/16. Let 1/3*f**2 - 2/3*f + 2/3*f**3 - 1/2 + h*f**4 = 0. Calculate f.
-3, -1, 1
Factor -2/5*l**2 + 12/5 - 2*l.
-2*(l - 1)*(l + 6)/5
Let v = -2 + 10. Find y, given that -28*y**4 + v*y**4 + 6 - 25*y + 30*y**2 - 15*y**5 - 16 + 40*y**3 = 0.
-2, -1, -1/3, 1
Suppose -3*c + 2*f = -8466, -5*c - 4*f + f = -14091. Let -c + 2820 - y + y**3 = 0. Calculate y.
-1, 0, 1
Let m(q) be the second derivative of -1/13*q**3 + 0*q**2 + 0 - 11*q - 1/78*q**4. Factor m(d).
-2*d*(d + 3)/13
Let o(v) be the second derivative of 4/27*v**3 + 0 + 1/54*v**4 + 4/9*v**2 + 10*v. Solve o(f) = 0.
-2
Let w(z) = 9*z**2 + 25*z - 14. Let c(o) = -o - 1. Let f(d) = -c(d) - w(d). Let g(y) = y**2 + y - 1. Let a(i) = f(i) + 3*g(i). Factor a(x).
-3*(x + 4)*(2*x - 1)
Let q = 17819 + -88417/5. Let m = q - 1814/15. Factor 26/3*n + 4/3 + 76/3*n**3 + 10/3*n**5 + 64/3*n**2 + m*n**4.
2*(n + 1)**4*(5*n + 2)/3
Let i be (2/9)/(((-4224)/18)/(-11)). Let v(n) be the third derivative of -i*n**4 - n**2 + 0*n + 1/80*n**5 + 0*n**3 + 0. Let v(y) = 0. What is y?
0, 1/3
Let t(g) be the second derivative of 3*g**8/5600 - g**7/3150 - g**6/200 + g**5/150 + 5*g**4/12 + 14*g. Let h(r) be the third derivative of t(r). Factor h(z).
2*(z - 1)*(z + 1)*(9*z - 2)/5
Let v(f) = f - 28. Let j be v(23). Let x be j/(-10)*(-2)/(-4). Let 3/4*h**2 - x*h**4 + 1/2*h + 0*h**3 + 0 = 0. What is h?
-1, 0, 2
Factor 11*i**3 + 6*i - 27*i**3 + 2*i**2 + 15*i**3 - i**2.
-i*(i - 3)*(i + 2)
Let m(x) = 2*x**2 - x. Let w be m(-1). Let c = -43 - -53. Factor -9*h**4 + 3*h**2 - c*h**3 + h**w + 0*h**2 + 4*h + h**2.
-h*(h + 1)*(3*h - 2)*(3*h + 2)
Let f(t) be the second derivative of t**5/12 + 5*t**4/4 - 10*t**3/3 - 50*t**2/3 + 2*t + 555. Solve f(d) = 0 for d.
-10, -1, 2
Let u(h) = h**2 - 13*h + 12. Let o(n) = n**2 - 12*n + 11. Let t(d) = -7*o(d) + 6*u(d). Let s be t(5). Factor s*b + 0 + 0*b**3 - 4/3*b**2 - 1/3*b**5 + b**4