/3 - 8*h = 0 for h.
-2
Let n = 36 + -178/5. Factor 0 - 8/5*j**2 - 8/5*j**4 - n*j - 2/5*j**5 - 12/5*j**3.
-2*j*(j + 1)**4/5
Let x(r) be the first derivative of -2 - 2/7*r**3 + 1/42*r**4 + 2*r + 9/7*r**2. Let s(c) be the first derivative of x(c). Factor s(o).
2*(o - 3)**2/7
Let o be (16/2)/((-1)/(-1)). Let q = 23 - 20. Factor 0*f**3 - 7*f**q - f**3 - 2*f**4 - o*f**2.
-2*f**2*(f + 2)**2
Let k(h) = h**3 + 10*h**2 - 4*h - 10. Let n be k(-7). Factor 8*q + 8*q**2 - 2*q**3 - 2*q**4 - n + 165.
-2*q*(q - 2)*(q + 1)*(q + 2)
Let j(r) be the third derivative of -r**6/450 - r**5/50 - r**4/15 - 5*r**3/3 + 10*r**2. Let t(o) be the first derivative of j(o). Find d, given that t(d) = 0.
-2, -1
Suppose g + 5*h + 3 = 0, -3*h + 1 = -0*g + 2*g. Find c such that -c**4 + c**2 + 0*c**3 - c**3 + 5*c + 2 + 2*c**g = 0.
-1, 2
Let b(a) = -6*a**4 - 24*a**3 - 18*a**2 - 6*a. Let l(j) = -j**4 + j**3 + j**2 + j. Let r(u) = b(u) + 3*l(u). Factor r(p).
-3*p*(p + 1)**2*(3*p + 1)
Let p(s) = -11*s**3 - 25*s**2 - 41*s + 5. Let m(g) = -6*g**3 - 12*g**2 - 21*g + 3. Let o(a) = -5*m(a) + 3*p(a). Solve o(x) = 0 for x.
-3, -2, 0
Let i = -117 - -120. Factor -1/2*q**i - q + 0 - 3/2*q**2.
-q*(q + 1)*(q + 2)/2
Let u be 19/2*8/4. Solve 32 + t + 2*t**5 + 112*t**2 + 64*t**3 + u*t**4 + 95*t - t**4 = 0.
-2, -1
Let f(g) be the first derivative of -g**3/3 + g**2/2 + 2*g + 7. Determine a, given that f(a) = 0.
-1, 2
Suppose 3*v = -15, -9 - 3 = 2*n + 2*v. Let w(i) = i**4 + i**3 - i**2. Let r(d) = -2*d**4 - 5*d**3 + 2*d**2 + 2*d. Let x(y) = n*r(y) - 3*w(y). Factor x(p).
-p*(p - 2)*(p - 1)*(p + 1)
Let q(w) be the second derivative of -3*w**7/112 - 7*w**6/40 - 33*w**5/80 - 3*w**4/8 + w**3/16 + 3*w**2/8 - 4*w. Find v such that q(v) = 0.
-2, -1, 1/3
Let -4*s**2 - 2/5*s**3 - 48/5 - 56/5*s = 0. Calculate s.
-6, -2
Let k(a) be the second derivative of a**7/6300 - a**4/3 - 4*a. Let c(u) be the third derivative of k(u). Factor c(l).
2*l**2/5
Determine k, given that -2/5 + 1/10*k**3 + 9/10*k - 3/5*k**2 = 0.
1, 4
Let b(a) be the third derivative of a**9/15120 - a**7/2520 - a**4/12 - a**2. Let y(g) be the second derivative of b(g). Determine z so that y(z) = 0.
-1, 0, 1
Suppose -14/3*f + 4/3 - 6*f**2 = 0. What is f?
-1, 2/9
Let a(u) be the third derivative of 1/200*u**6 + 0*u**3 - 1/60*u**4 - 4*u**2 + 1/300*u**5 + 0*u + 0. Factor a(t).
t*(t + 1)*(3*t - 2)/5
Let n(q) be the second derivative of 2*q - 1/20*q**5 + 0*q**2 - 1/6*q**4 + 0 - 1/6*q**3. Factor n(s).
-s*(s + 1)**2
Let t(k) be the second derivative of -3/26*k**4 - 4*k - 27/13*k**2 + 0 + 1/130*k**5 + 9/13*k**3. Solve t(d) = 0.
3
Suppose 12 = 5*m - 2*z, 5*z + 3 = 4*m - 5*m. Suppose 0 = 6*w - m*w. Factor -7/2*f**3 - 9/2*f**2 + w - f.
-f*(f + 1)*(7*f + 2)/2
Let s be (-1)/((-10)/36) + (-375)/625. Factor -2*j - 5/2*j**2 - j**s - 1/2.
-(j + 1)**2*(2*j + 1)/2
Let k(a) be the second derivative of 0*a**6 + 1/21*a**7 + 7*a - 1/10*a**5 + 0*a**2 + 0 + 0*a**3 + 0*a**4. Determine n so that k(n) = 0.
-1, 0, 1
Let x(v) be the second derivative of 2*v**5/35 + 11*v**4/42 + 5*v**3/21 - 2*v**2/7 - 6*v. Factor x(d).
2*(d + 1)*(d + 2)*(4*d - 1)/7
Let d be (2/3)/(1/(-12)). Let q = d + 10. Factor 8/3*a**q + 2/3 + 10/3*a.
2*(a + 1)*(4*a + 1)/3
Let o be 171/(-38)*(-8)/18. Suppose -4/7*f + 0 + 18/7*f**o = 0. Calculate f.
0, 2/9
Let b = 9 + -9. Suppose 0 = 3*s - 3*r + 6 + 3, 12 = 5*s + 4*r. Factor b*t + 0*t**4 + 0 + s*t**2 - 2/7*t**3 + 2/7*t**5.
2*t**3*(t - 1)*(t + 1)/7
Let s(j) be the second derivative of j**9/756 + j**8/140 + j**7/210 - j**6/30 - j**5/15 - j**3 + 2*j. Let f(n) be the second derivative of s(n). Factor f(l).
4*l*(l - 1)*(l + 1)**2*(l + 2)
Determine b, given that 16/3*b**2 + 4/9 + 32/9*b**3 - 10/3*b = 0.
-2, 1/4
Let y be (-18)/3*1/(-2). Factor -17 + 17 - 6*h**2 - 3*h**y - 3*h.
-3*h*(h + 1)**2
Let w(o) = 7*o**2 + 9*o + 5. Let t(f) = 2*f**2 + 1. Let m(q) = 5*t(q) - w(q). Factor m(z).
3*z*(z - 3)
Let d = 47/21 - 11/7. What is g in d*g**2 + 8/3 + 8/3*g = 0?
-2
Let i(n) = 20*n**5 + 8*n**4 - 36*n**3 + 24*n**2 + 8*n + 8. Let z(r) = -13*r**5 - 5*r**4 + 24*r**3 - 16*r**2 - 5*r - 5. Let k(h) = -5*i(h) - 8*z(h). Factor k(u).
4*u**2*(u - 1)**2*(u + 2)
Factor 0 - 3/2*c**3 + 3/4*c**4 + 3/4*c**2 + 0*c.
3*c**2*(c - 1)**2/4
Suppose 0 = a + 3, -2*t = 5*a - 3*a - 2. Factor i**4 - 4*i - t + 2 + 6*i**2 - 4*i**3 + 3.
(i - 1)**4
Let o be (-14)/(-3)*(8 + -11). Let r = 43/3 + o. Factor r*n**3 - 1/3*n - 1/3 + 1/3*n**2.
(n - 1)*(n + 1)**2/3
Find z such that -4/3*z**2 + 2/3*z**4 + 2*z**3 - 16/3 - 8*z = 0.
-2, -1, 2
Suppose 5*m = 17 + 3. Let -o**3 + o + o**2 + 9*o**m - 10*o**4 + 0*o = 0. Calculate o.
-1, 0, 1
Let d(y) be the third derivative of -y**7/60 - y**6/15 - y**5/30 + 9*y**2. Factor d(p).
-p**2*(p + 2)*(7*p + 2)/2
Factor -9/5 - 36/5*a**2 - 6*a - 3/5*a**4 - 18/5*a**3.
-3*(a + 1)**3*(a + 3)/5
Let o(q) be the first derivative of -q**6/720 + q**5/240 + q**4/24 - 2*q**3/3 - 5. Let p(b) be the third derivative of o(b). Determine c so that p(c) = 0.
-1, 2
Suppose -41 = 6*l - 41. Factor 1/2 + l*o - 1/2*o**2.
-(o - 1)*(o + 1)/2
Let k(i) = i**2 - 4. Let z be k(5). Let t be 2/(-7) - (-6)/z. What is q in 1/4*q + 1/4*q**5 + 3/2*q**3 - q**2 - q**4 + t = 0?
0, 1
Let a = -350 - -2456/7. Let p(x) be the first derivative of -a*x**2 + 18/7*x - 1 + 2/21*x**3. Factor p(y).
2*(y - 3)**2/7
Let j(r) be the second derivative of 2*r**7/63 - 4*r**6/45 - r**5/15 + 2*r**4/9 + 3*r. What is q in j(q) = 0?
-1, 0, 1, 2
Let u be (-2 - -2)*(-5 + -7 + 11). Factor u + 3/4*k - 1/4*k**2.
-k*(k - 3)/4
Let l = 11 + -7. Determine a so that -l*a**2 + a + 2*a**4 + 6*a**3 - 4*a**3 + 2*a**2 - 3*a = 0.
-1, 0, 1
Let i be (-5 + -1)/((-2)/1). Let v(h) be the second derivative of 0*h**2 + 1/6*h**i - 1/20*h**5 + 1/20*h**6 + h - 1/8*h**4 + 0. Let v(b) = 0. What is b?
-1, 0, 2/3, 1
Solve -2/5 + 2/5*g**4 - 4/5*g + 0*g**2 + 4/5*g**3 = 0 for g.
-1, 1
Let b(o) be the second derivative of 2*o - 1/20*o**5 + 0*o**2 + 0 + 0*o**3 + 0*o**4. Factor b(s).
-s**3
Let h(o) be the second derivative of -o**4/4 + o**3/2 - 7*o. Factor h(t).
-3*t*(t - 1)
Let x be ((-1)/10*4)/((-12)/20). Let c(y) be the first derivative of -2/3*y**3 + 2/3*y**2 - 1 + x*y. Factor c(h).
-2*(h - 1)*(3*h + 1)/3
Let x(r) = -2*r**2 + 2. Let m(u) = -3*u**2 - u + 2. Let a(h) = -3*m(h) + 4*x(h). Let w be a(-2). Factor 0*d - 2*d**4 + w*d**2 + 10/7*d**5 + 0 + 4/7*d**3.
2*d**3*(d - 1)*(5*d - 2)/7
Let w(x) = -x**2 - x - 1. Let y(i) = 0*i + i**2 + 0*i**2 + i + 2*i**2 + 2. Let n(g) = -2*w(g) - y(g). Determine z so that n(z) = 0.
0, 1
Let d be (-1 - -3)*6/4. Let t(i) = -8*i - d + 13*i + 10*i**2 - 2. Let y(b) = 11*b**2 + 5*b - 6. Let o(j) = 7*t(j) - 6*y(j). Factor o(x).
(x + 1)*(4*x + 1)
Let v(t) be the second derivative of t**5/150 - t**4/45 + 6*t. Factor v(w).
2*w**2*(w - 2)/15
Let r(c) = 2*c**3 + 4*c**2. Let g be r(-2). Let a(d) be the first derivative of g*d + 1 - 1/14*d**4 + 4/21*d**3 - 1/7*d**2. Factor a(p).
-2*p*(p - 1)**2/7
Suppose 0 = -2*t + 5 + 3. Let v(r) be the second derivative of 0*r**3 - 3*r + 0 + 0*r**t + 0*r**2 + 0*r**5 - 1/120*r**6. Factor v(m).
-m**4/4
Let v(q) be the third derivative of -q**8/1344 - q**7/280 - q**6/480 + q**5/80 + q**4/48 + 12*q**2. Find c, given that v(c) = 0.
-2, -1, 0, 1
Let n(c) be the third derivative of 2*c**7/105 + c**6/30 - 2*c**5/15 + 7*c**2. Factor n(r).
4*r**2*(r - 1)*(r + 2)
Let g(d) be the third derivative of d**8/420 + d**7/1050 - d**6/150 - d**5/300 + 7*d**2. Let g(t) = 0. What is t?
-1, -1/4, 0, 1
Let m(x) be the second derivative of -3*x - 2/9*x**3 + 0*x**2 - 1/18*x**4 + 0. Determine v so that m(v) = 0.
-2, 0
Factor 16/5*o - 32/5 - 2/5*o**2.
-2*(o - 4)**2/5
Factor 3 - 3*m**2 + 3/2*m**3 - 3/2*m.
3*(m - 2)*(m - 1)*(m + 1)/2
Let w(f) = 6*f**2 + 1 + 1 - 6*f + f**3 - f**2. Let j be w(-6). Factor -g**4 + 2*g**3 + 2*g**2 - g**4 + 0*g**j - 2*g.
-2*g*(g - 1)**2*(g + 1)
Solve -63/4*z + 15/4*z**3 + 27/2 - 3/4*z**2 - 3/4*z**4 = 0.
-2, 1, 3
Let h(o) be the second derivative of -o**7/35 + 19*o**6/300 - o**4/15 - 3*o**2/2 + 3*o. Let z(n) be the first derivative of h(n). Let z(x) = 0. What is x?
-2/5, 0, 2/3, 1
Let s(w) be the first derivative of -2 - 3/4*w**2 - 9/4*w**4 - 2*w**3 - 6/5*w**5 - 1/4*w**6 + 0*w. Factor s(x).
-3*x*(x + 1)**4/2
Suppose 3*t = 6*t. Let b(m) be the second derivative of t - m + 1/24*m**4 + 0*m**2 + 0*m**3. Find a such that b(a) = 0.
0
F