*t = 11 + 46. Determine p, given that 8/3*p - 2/3*p**4 + 2*p**2 - 8/3 - 4/3*p**t = 0.
-2, 1
Let j be 6/(-20)*(-36)/2. Determine v, given that -3/5*v**2 - j + 18/5*v = 0.
3
Let g(m) be the second derivative of 5/21*m**3 + 0 - 3/70*m**5 - 2*m - 2/7*m**2 + 2/21*m**4. Factor g(h).
-2*(h - 2)*(h + 1)*(3*h - 1)/7
Let h be 3/(-18)*-2*9. Factor -1 + z**2 + 2*z - 2*z - 4*z + h*z + z**3.
(z - 1)*(z + 1)**2
Suppose 4*g - 5*s + 15 = 0, s + s - 6 = 4*g. Let v = 2 + g. Suppose 5*f**v - 6*f + 1 - f**2 + 1 = 0. Calculate f.
1/2, 1
Let i(o) be the third derivative of -o**8/6720 - o**7/1680 + o**6/120 - o**5/30 - 2*o**2. Let d(s) be the third derivative of i(s). Let d(y) = 0. What is y?
-2, 1
Let n(t) be the first derivative of -4*t**3/3 + 4*t + 9. Factor n(a).
-4*(a - 1)*(a + 1)
Let l(o) = -3*o**3 + o + 1. Let k be l(-1). Solve 4*v**3 + 6*v**k - 10*v + 12*v**2 - 6*v**4 - 2 - 2*v**2 - 2 = 0 for v.
-1, -1/3, 1, 2
Let k(x) be the third derivative of -x**6/60 + 2*x**5/15 - x**4/4 + 12*x**2. Factor k(q).
-2*q*(q - 3)*(q - 1)
Let z be (-1 - (-28)/40) + 1. Let n = z - -1/10. Solve -n*x + 0 - 14/5*x**2 = 0 for x.
-2/7, 0
Factor 0*m - 1/4*m**4 + 0 - 1/2*m**3 - 1/4*m**2.
-m**2*(m + 1)**2/4
Suppose -3*z + 2*z = 0. Let j = 4 - z. Determine w so that 2*w**3 - 2*w**2 + 2*w - 4*w**3 + 0*w**3 + 2*w**j = 0.
-1, 0, 1
Let z(s) be the second derivative of -1/98*s**7 + 0*s**2 + 0*s**4 - 3*s + 0*s**6 + 3/140*s**5 + 0 + 0*s**3. Suppose z(p) = 0. What is p?
-1, 0, 1
Factor 4/9*f**3 - 2/9 - 2/9*f**4 - 2/9*f - 2/9*f**5 + 4/9*f**2.
-2*(f - 1)**2*(f + 1)**3/9
Let f = 0 + 6. Suppose -2*p - 16 = -f*p. Find y such that -1/3*y**3 + 0*y**2 + 2/3*y**p + 0*y + 0 = 0.
0, 1/2
Factor -1/5 + 2/5*t - 1/5*t**2.
-(t - 1)**2/5
Let o = -29 - -40. Suppose 2*u = -t + o, -2*t + 1 + 24 = 5*u. Determine j so that 3*j**2 + 0*j**3 + u*j**4 - 3*j**3 - 2*j**2 - j**5 = 0.
0, 1
Let i(r) be the second derivative of -r**5/90 + r**3/9 + r**2 + 3*r. Let o(n) be the first derivative of i(n). Factor o(h).
-2*(h - 1)*(h + 1)/3
Let p be (12/(-4))/(11/(-4) + 2). Factor 2/7*o**3 + 2/7*o**p - 2/7*o - 2/7*o**2 + 0.
2*o*(o - 1)*(o + 1)**2/7
Let n be 38/35 - (-76)/(-95). Let 0 - 4/7*u**3 - 2/7*u**2 + n*u**4 + 4/7*u = 0. Calculate u.
-1, 0, 1, 2
Let l(g) be the second derivative of g**5/70 + g**4/21 - g**3/3 + 4*g**2/7 - 11*g. Factor l(m).
2*(m - 1)**2*(m + 4)/7
Let g = 1251/2 + -688. Let i = g - -64. Factor 0 - m - 1/2*m**3 + i*m**2.
-m*(m - 2)*(m - 1)/2
Let s(d) be the first derivative of 3/2*d - 4 - 3/4*d**3 + 3/20*d**5 - 3/16*d**4 + 3/8*d**2. Factor s(v).
3*(v - 2)*(v - 1)*(v + 1)**2/4
Let p = -56 + 85. Find b, given that p*b**3 - 10*b**2 + 11*b**4 + 4*b**4 - 8*b**2 + 10*b**3 = 0.
-3, 0, 2/5
Solve -f**3 + 1/2*f**4 - 2 + 4*f - 3/2*f**2 = 0.
-2, 1, 2
Let o(y) = y**2 + 9*y - 8. Let j be o(-11). Determine g, given that 6*g + g - 11*g + j*g**2 + 0*g = 0.
0, 2/7
Suppose -3*f + 12 = -5*r, -f + 4 = 2*r - 4*r. Let d(p) be the second derivative of 1/12*p**4 + 2*p**2 - 2/3*p**3 - 2*p + r. Find o such that d(o) = 0.
2
Let i(b) be the third derivative of b**2 - 1/3*b**4 + 0 - 7/15*b**5 + 0*b**3 - 2/21*b**7 + 0*b - 1/84*b**8 - 3/10*b**6. Let i(v) = 0. What is v?
-2, -1, 0
Suppose 8 = -4*x, x - 3 = -q - 3*x. Let z = q - 3. Let t(w) = 5*w**2 + 3*w. Let s(f) = -2*f**2 - f. Let n(p) = z*s(p) + 3*t(p). Factor n(g).
-g*(g - 1)
Let l(i) be the third derivative of -1/27*i**3 - 1/945*i**7 - i**2 - 1/1512*i**8 + 0*i - 1/108*i**4 + 1/135*i**5 + 1/270*i**6 + 0. Factor l(m).
-2*(m - 1)**2*(m + 1)**3/9
Let s(a) = -6*a**2 - 3*a - 6. Let j(x) = -5*x**2 - 4*x - 5. Let k(p) = 3*j(p) - 2*s(p). Determine d, given that k(d) = 0.
-1
Factor 1/8*h**2 + 3/2*h + 9/2.
(h + 6)**2/8
Let w be (10 - -1) + (-1 - 2). Let q = w - 6. Factor -2*u**2 + 3*u**q - 2 + u + 2*u**2 - 2*u**2.
(u - 1)*(u + 2)
Let x(s) = -s - 8. Let f be x(0). Let v = f + 10. Factor -2/5*b**3 - 2/5*b**4 + 2/5*b**v + 2/5*b + 0.
-2*b*(b - 1)*(b + 1)**2/5
Let u(b) be the third derivative of 5*b**7/42 + 13*b**6/24 - b**5/2 + 15*b**2. Find c such that u(c) = 0.
-3, 0, 2/5
Suppose -t + 14 = 12. Factor -t*q**5 - 23 - 4*q**3 - 6*q**4 + 23.
-2*q**3*(q + 1)*(q + 2)
Let x(f) be the second derivative of f**7/42 + f**6/15 + f**5/20 + 3*f. Solve x(r) = 0.
-1, 0
Let r(y) = 2*y**2 - 3*y + 1. Let t(v) = -1 - 5*v - 2 + 5 + 3*v**2. Let s be ((-20)/(-6))/(1/(-3)). Let x(p) = s*r(p) + 6*t(p). Factor x(f).
-2*(f - 1)*(f + 1)
Let l = -11 + 35/3. Let v = 139 + -136. Let l*b**2 - 1/3*b**5 + 0*b**v + 0 - 2/3*b**4 + 1/3*b = 0. Calculate b.
-1, 0, 1
Let l be (-10)/35 + 2/(-7). Let h = l + 15/14. Factor -3/2*v**2 - 1/2*v - h*v**4 - 3/2*v**3 + 0.
-v*(v + 1)**3/2
Let j be -5 + 6/((-12)/(-14)). Factor -6/7*r**j - 2/7*r**3 + 0*r + 8/7.
-2*(r - 1)*(r + 2)**2/7
Let i(m) = 2*m**3 - 2*m**2 - 3*m + 3. Let u be i(2). Suppose -g - 2*o = -7*o - 28, 5*g + 2*o - u = 0. Factor 3*h**2 + h**g - h - 3*h**2.
h*(h - 1)*(h + 1)
Let s(f) be the second derivative of 4*f**6/15 + f**5/2 - f**4/2 - 5*f**3/3 - f**2 - f. Factor s(m).
2*(m - 1)*(m + 1)**2*(4*m + 1)
Let a be (-3 + 3 + -1)*-5. Solve 2*u**2 - 4*u**2 + 2*u**2 - 2*u**a - 4*u**4 + 4*u**2 + 2*u = 0 for u.
-1, 0, 1
Suppose -580*a = -576*a. What is v in a + 0*v - 2/7*v**2 = 0?
0
Let w(x) = 2*x - 2. Let m(g) = -g**2 + g - 3. Suppose 0 = -2*h - 8, -3*h = 4*b - 5*h. Let d(s) = b*m(s) + 3*w(s). Factor d(v).
2*v*(v + 2)
Let v be (-4)/16 - (-18)/8. Factor -2*y**2 + y + v + 2*y + y**3 - y - 3*y**3.
-2*(y - 1)*(y + 1)**2
Let o(n) be the second derivative of n**7/252 - n**6/180 - n**5/60 + n**4/36 + n**3/36 - n**2/12 + 13*n. Determine g, given that o(g) = 0.
-1, 1
Let a be (-12)/10*(-60)/108. Let m(b) = -b + 2. Let v be m(0). Solve -a*q**v - 2/3*q + 0 = 0.
-1, 0
Factor -14 - 13 + 1 + 6 - 24*x - 4*x**2.
-4*(x + 1)*(x + 5)
Factor 10/3*j**3 - 4/3 - 8/3*j**2 - 22/3*j.
2*(j - 2)*(j + 1)*(5*j + 1)/3
Let z(c) be the second derivative of -c**8/7560 - c**7/3780 + c**6/1620 + c**5/540 - 7*c**3/6 - c. Let o(l) be the second derivative of z(l). Factor o(m).
-2*m*(m - 1)*(m + 1)**2/9
Let w(b) be the second derivative of b**5/120 + b**4/36 - b**3/12 + 3*b. Suppose w(n) = 0. What is n?
-3, 0, 1
Let z(u) be the second derivative of u**5/5 + u**4/3 - 41*u. Factor z(n).
4*n**2*(n + 1)
Let i = -1444 - -2943/2. Let m = -27 + i. Determine g, given that -1/2 + m*g**2 + 0*g = 0.
-1, 1
Factor -3*i**3 - 116*i - 14 + 8*i**2 + 110*i + 7*i**2 - 10.
-3*(i - 4)*(i - 2)*(i + 1)
Let z = -45 - -48. Let o(g) be the first derivative of -1/2*g**4 - 4/21*g**z + 0*g - 1 + 2/5*g**5 + 4/7*g**6 + 0*g**2. Suppose o(w) = 0. Calculate w.
-1, -1/4, 0, 2/3
Let h(k) = -5*k**3 - k. Let i(j) = -16*j**3 - 4*j. Let c(a) = -20*h(a) + 6*i(a). Factor c(q).
4*q*(q - 1)*(q + 1)
Let h be 2/1 - 2 - -2. Let f be (h - -4 - 2)/2. Determine p, given that 6*p - 4*p - p**f + 4*p**2 = 0.
-2/3, 0
Let n(w) be the first derivative of -4*w**5/5 - w**4 + 4*w**3 + 10*w**2 + 8*w - 12. Determine j so that n(j) = 0.
-1, 2
Let m(b) = b**2 - 7*b - 3. Let p be m(7). Let c be -5 + 11 + p/1. Suppose 0*t - 1/4*t**4 - 1/4*t**c + 0*t**2 + 0 = 0. What is t?
-1, 0
Let w = -3 + -3. Let n = -4 - w. Solve f**2 - f**3 + 2 - n = 0 for f.
0, 1
Let w be -1*(5/3)/(-5). Let m(o) be the second derivative of -2/3*o**4 + 7/30*o**5 + 2/3*o**2 + 0 + o + w*o**3. Factor m(d).
2*(d - 1)**2*(7*d + 2)/3
Let j(v) be the second derivative of 3*v**7/7 + 8*v**6/35 - 159*v**5/70 + 2*v**4 - 4*v**3/7 + 52*v. Suppose j(b) = 0. Calculate b.
-2, 0, 2/7, 1/3, 1
Let h = 88 + -86. Factor 0 + 2/7*u**h + 4/7*u.
2*u*(u + 2)/7
Let a(z) be the third derivative of z**8/40320 - z**6/1440 - z**5/20 + 5*z**2. Let s(b) be the third derivative of a(b). Factor s(y).
(y - 1)*(y + 1)/2
Let l = 1/7 - -3/77. Factor 2/11 + 4/11*j + l*j**2.
2*(j + 1)**2/11
Let b(c) be the first derivative of c**6/40 - 3*c**5/10 + 3*c**4/2 - 4*c**3 - 3*c**2 - 8. Let a(f) be the second derivative of b(f). Let a(t) = 0. Calculate t.
2
Factor 2/13*n**3 - 6/13*n**2 + 4/13*n + 0.
2*n*(n - 2)*(n - 1)/13
Let h(p) be the second derivative of p**5/40 + 3*p**2/2 + 2*p. Let l(s) be the first derivative of h(s). Find o such that l(o) = 0.
0
Let i(r) be the second derivative of -r**6/195 - 3*r**5/130 - r**4/26 - r**3/39 - 6*r. Find z such that i(z) = 0.
-1, 0
Let k(p) be the third derivative of p**8/40320 + p**7/15120 + 5*p**4/24 - 3*p**2. Let t(m) be the second de