).
-o**2*(o + 1)*(3*o - 1)/3
Let y(j) be the second derivative of -j**7/5040 + j**5/240 + j**4/4 + j. Let h(d) be the third derivative of y(d). Factor h(b).
-(b - 1)*(b + 1)/2
Suppose 0 = 4*r + x + 11, -5*r - 13 = 3*x - x. Let a be r/((-63)/(-57)) - -3. Suppose -2/7*v + 0 + a*v**2 = 0. What is v?
0, 1
Suppose 0 - 3/7*d**4 + 0*d + 0*d**2 + 12/7*d**3 = 0. Calculate d.
0, 4
Suppose p + 0*p - 2*z = -88, 5*z + 88 = -p. Let b be 11/4 - 22/p. Let 3/4 - 3/4*u**2 + 3/4*u**b - 3/4*u = 0. What is u?
-1, 1
Factor -1/3*t**3 - 8/3*t - 5/3*t**2 - 4/3.
-(t + 1)*(t + 2)**2/3
Let v = 1/135 + 1343/945. Determine g, given that -v*g**2 + 0 + 10/7*g**4 - 4/7*g + 10/7*g**3 - 6/7*g**5 = 0.
-1, -1/3, 0, 1, 2
Let o = -26 + 28. Solve -2/3*b**4 + 2/3*b + o*b**3 + 0 - 2*b**2 = 0.
0, 1
Suppose -1/2*j + 1/4*j**2 + 1/4 = 0. What is j?
1
Let s(g) be the first derivative of 2*g**5/15 - 2*g**4/3 + 2*g**3/3 + 4*g**2/3 - 8*g/3 + 7. Factor s(h).
2*(h - 2)**2*(h - 1)*(h + 1)/3
Let o(x) = x**3 + 7*x**2 - 8*x + 3. Let g be o(-8). Let b(y) = y + 10. Let k be b(-7). Factor 0*j**3 + 2 - k - 5*j**3 + j**2 + j + 4*j**g.
-(j - 1)**2*(j + 1)
Let b(z) be the second derivative of z**6/30 - z**4/4 + z**3/3 + 20*z. Let b(d) = 0. Calculate d.
-2, 0, 1
Let q be -6*(2 - 4 - -1). Determine x, given that -13*x - q - 3*x**3 + 14*x - 16*x - 12*x**2 = 0.
-2, -1
Let n(k) be the second derivative of 0 + 0*k**2 - 1/84*k**7 + 5/24*k**4 + 3/40*k**5 - 1/60*k**6 - 6*k + 1/6*k**3. Determine j, given that n(j) = 0.
-1, 0, 2
Let h(b) be the second derivative of -b**5/50 - b**4/5 - 4*b**3/5 - 8*b**2/5 - 23*b. Factor h(n).
-2*(n + 2)**3/5
Let v(o) be the second derivative of o**5/80 + o**4/16 + o**3/8 + o**2/8 - o. Suppose v(s) = 0. What is s?
-1
Let v(i) be the third derivative of -1/60*i**6 + 2/3*i**3 + 0 + 1/10*i**5 - i**2 + 0*i - 1/105*i**7 + 5/12*i**4. Solve v(f) = 0 for f.
-1, 2
Suppose -2*q + 5*t - 20 = 0, 0 = -4*q - 0*t + t - 4. Let g = q + 0. Factor 5*m - 25*m**3 + g*m**3 - m.
-m*(5*m - 2)*(5*m + 2)
Factor 0 - 8/5*j + 14/5*j**3 - 24/5*j**2.
2*j*(j - 2)*(7*j + 2)/5
Let t(o) be the first derivative of -3*o**4/14 - 10*o**3/21 + 4*o**2/7 + 8*o/7 + 24. Factor t(x).
-2*(x - 1)*(x + 2)*(3*x + 2)/7
Determine i so that 0 - 2/7*i**5 + 6/7*i - 8/7*i**4 + 8/7*i**2 - 4/7*i**3 = 0.
-3, -1, 0, 1
Let h(l) be the first derivative of l**3 + 6*l - 9/2*l**2 - 8. Factor h(x).
3*(x - 2)*(x - 1)
Let w(u) be the third derivative of -1/60*u**5 - 5*u**2 + 0*u**4 + 1/336*u**8 + 0*u + 1/210*u**7 + 0 + 0*u**3 - 1/120*u**6. Factor w(j).
j**2*(j - 1)*(j + 1)**2
Find f such that 0 + 0*f**2 + 0*f - 6/7*f**3 + 2/7*f**4 = 0.
0, 3
Suppose 4*p = 2*p + 16. Suppose -3*v + p = v. Factor 1/2 + 3/2*n**v - 1/2*n**3 - 3/2*n.
-(n - 1)**3/2
Let a = 10 - 8. Factor 5*j - a - 4*j**2 + 2*j**2 + j - 2.
-2*(j - 2)*(j - 1)
Let m(y) be the second derivative of 0*y**2 + 4*y - 1/15*y**6 + 1/3*y**3 + 3/10*y**5 + 0 - 1/2*y**4. Factor m(p).
-2*p*(p - 1)**3
Let i(x) be the second derivative of -x**5/80 + x**4/48 + 5*x**3/24 + 3*x**2/8 - 6*x. Factor i(y).
-(y - 3)*(y + 1)**2/4
Let p be 3 + (-2)/(-4)*-6. Let t be 8/20 + 12/10. Find w such that p - 8/5*w - t*w**2 - 2/5*w**3 = 0.
-2, 0
Let j(r) be the third derivative of 0*r + 0*r**3 - 1/210*r**5 + 0*r**4 + 1/735*r**7 - 1/210*r**6 + 5*r**2 + 0 + 1/588*r**8. Let j(g) = 0. Calculate g.
-1, -1/2, 0, 1
Suppose -5*m = -2*x + 30, -3 = -x - 4*m - 14. Suppose 0*k - 3*k = -4*p - 32, 5 = x*k + 3*p. Solve k*l**4 + 0*l**4 - 5*l**3 + 0*l**3 + l**2 = 0.
0, 1/4, 1
Let p(y) = y**3 + 16*y**2 + 2*y + 35. Let v be p(-16). Let a(t) be the second derivative of -1/42*t**4 + 0 - 3*t + 1/7*t**2 + 0*t**v. Factor a(f).
-2*(f - 1)*(f + 1)/7
Let m(p) be the third derivative of -p**8/70560 + p**7/8820 - p**6/2520 + p**5/60 + 7*p**2. Let r(g) be the third derivative of m(g). Factor r(h).
-2*(h - 1)**2/7
Suppose 8 = -z - 5*p, 0*p + 5*p + 2 = -4*z. Factor 0 + 0*l**z - 1/3*l**3 + 0*l.
-l**3/3
What is b in 14*b**2 - 1 - 18*b**3 + 10*b**4 + 217*b - 221*b + 1 - 2*b**5 = 0?
0, 1, 2
Let n be (5 - 5)*(-1)/(-2). Solve 3*v**4 - v**4 + 14*v + n*v**4 + 18*v**2 + 0 + 10*v**3 + 4 = 0 for v.
-2, -1
Let y(x) be the second derivative of x**7/56 - 11*x**6/120 + 3*x**5/20 - x**4/12 + 14*x. Determine q so that y(q) = 0.
0, 2/3, 1, 2
Let u(v) be the second derivative of v**6/10 + 3*v**5/10 + v**4/4 + 3*v. Let u(b) = 0. What is b?
-1, 0
Factor -4*p**3 + 1/2*p + p**2 + 0.
-p*(2*p - 1)*(4*p + 1)/2
Let j(l) be the second derivative of -l**8/1344 + l**6/240 - l**4/96 - l**2 + l. Let a(d) be the first derivative of j(d). Factor a(r).
-r*(r - 1)**2*(r + 1)**2/4
Suppose -52 + 7 = -3*c. Let l be ((-12)/c)/((-8)/12). Factor l*n - 6/5*n**3 + 4/5 - 4/5*n**2.
-2*(n - 1)*(n + 1)*(3*n + 2)/5
Let g(f) be the third derivative of -f**11/1330560 - f**5/10 + 3*f**2. Let j(d) be the third derivative of g(d). Let j(k) = 0. What is k?
0
Let d(k) be the second derivative of k**7/7560 - k**6/1080 - 5*k**4/12 + 5*k. Let f(q) be the third derivative of d(q). Factor f(i).
i*(i - 2)/3
Let d(v) = -5*v - 7. Let s be d(-2). Let h(b) be the second derivative of 1/18*b**4 + 0 + s*b + 1/3*b**2 + 2/9*b**3. Factor h(p).
2*(p + 1)**2/3
Let g = -18 - -20. Let i(n) be the first derivative of n**g - 1/2*n - n**3 + 1/2*n**4 + 1 - 1/10*n**5. Factor i(x).
-(x - 1)**4/2
Let x(u) = -u**2 - 2*u. Let y be x(-2). Determine i so that -5*i + 0 + y + i**2 + 6*i = 0.
-1, 0
Let t(i) be the first derivative of -1/3*i - 1/9*i**3 + 9 - 1/3*i**2. Suppose t(d) = 0. Calculate d.
-1
Let d(k) be the second derivative of 2/21*k**4 + 1/147*k**7 + 0 + k + 0*k**2 + 4/105*k**6 + 3/35*k**5 + 1/21*k**3. Factor d(a).
2*a*(a + 1)**4/7
Find r, given that 0*r**2 - 3/2*r**3 + 3/2*r + 0 = 0.
-1, 0, 1
Let s = 0 - -7. Let q be 1*(-1 + 3) + s. Find v such that -4*v**2 - 9 - 2*v - 2*v**3 + q = 0.
-1, 0
Let q = 1665/16 + -104. Let z(k) be the third derivative of 0 + 2*k**2 + 0*k + 1/120*k**5 - q*k**4 + 1/6*k**3. Determine c so that z(c) = 0.
1, 2
Let i be 14/7*((-1)/2 - -1). Factor 3/2*v - i - 1/2*v**2.
-(v - 2)*(v - 1)/2
Suppose 5*r - 3*v = 40, 2*r - 5 + 0 = -v. What is u in 5*u**r + 15*u - 13*u - 3*u**5 - 4*u**3 = 0?
-1, 0, 1
Let o(j) be the first derivative of j**6/2 - 6*j**5/5 + 3*j**4/4 - 5. Let o(u) = 0. Calculate u.
0, 1
Let o = -8 - -14. Let t(u) = u**2 - 5*u - 4. Let c be t(o). What is y in y**4 + y**2 + y**c + 4*y**3 + y**4 = 0?
-1, 0
Let d(z) be the third derivative of -z**6/120 - z**5/20 - z**4/8 - z**3/3 - z**2. Let r(x) be the first derivative of d(x). Suppose r(t) = 0. What is t?
-1
Let l(s) be the third derivative of s**5/390 - s**3/39 + 6*s**2. Factor l(a).
2*(a - 1)*(a + 1)/13
Let u(z) = z**4 - z**3 - z - 1. Suppose 4*a = 3*y - 2, 36 = -y - 4*a + 10. Let i(m) = -m**5 - 7*m**4 + 6*m**3 + 6*m + 6. Let t(x) = y*u(x) - i(x). Factor t(h).
h**4*(h + 1)
Suppose 0 = 4*y + 10 - 22. Let h(j) be the first derivative of -2*j**2 + 2 + 2*j + 2/3*j**y. Solve h(s) = 0 for s.
1
What is r in 18/7*r**3 + 10/7*r**4 + 2/7*r**5 + 0 + 4/7*r + 2*r**2 = 0?
-2, -1, 0
Let c(l) be the second derivative of 0*l**3 + 0*l**5 - 1/12*l**4 + 0*l**2 + 0 + 1/30*l**6 + 2*l. Suppose c(v) = 0. Calculate v.
-1, 0, 1
Let l = 34 - 34. Suppose 2/3*f**2 - 4/3*f + 2/3*f**3 + l = 0. What is f?
-2, 0, 1
Let f(h) be the third derivative of -1/6*h**4 + 0*h**3 + 0 + 0*h + 1/60*h**6 + h**2 - 1/30*h**5. Suppose f(k) = 0. What is k?
-1, 0, 2
Let z(t) be the second derivative of -t**6/30 - 3*t**5/10 - 3*t**4/4 - 2*t**3/3 + 21*t. Factor z(n).
-n*(n + 1)**2*(n + 4)
Let q = -57 - -59. What is c in 2/5*c**q + 0 + 2/5*c = 0?
-1, 0
Factor 4/9*r - 2/9*r**2 - 2/9.
-2*(r - 1)**2/9
Let c(t) be the third derivative of t**6/960 + t**5/480 - t**4/48 - t**3/12 + 18*t**2. Find g such that c(g) = 0.
-2, -1, 2
Let k(b) = 3*b**2 + 3*b - 4. Let n(z) = -4*z**2 - 4*z + 5. Let g(r) = -6*k(r) - 4*n(r). Solve g(p) = 0 for p.
-2, 1
Solve -1/3*s**3 + 0 - 1/3*s**4 - 1/9*s**2 + 0*s - 1/9*s**5 = 0.
-1, 0
Let g(k) be the first derivative of k**4/2 - 2*k**3/3 - k**2 + 2*k - 7. Find r such that g(r) = 0.
-1, 1
Let a be (-4)/(-6) + (-4961)/(-924). Let w = a - 23/4. Factor 0*m - w*m**2 - 32/7*m**4 - 16/7*m**3 + 0.
-2*m**2*(4*m + 1)**2/7
Let h = 17 + -16. Let q be -1 + 1 - (h + -3). Factor -2/3*r + 0 + 1/3*r**q.
r*(r - 2)/3
Let x(o) be the third derivative of -o**5/60 + o**4/8 - o**3/3 - 7*o**2. Determine n so th