t 5*n**2 - 2*n**5 - 4*n**2 - n**5 - n**4 - n**3 + 4*n**h = 0.
-1, 0, 1
Let k(d) be the third derivative of -d**7/1155 + d**6/330 - d**5/330 + 3*d**2. Factor k(w).
-2*w**2*(w - 1)**2/11
Let v(p) = -57*p**4 - 6*p**3 - 15*p**2 - 15*p. Let n(l) = -8*l**4 - l**3 - 2*l**2 - 2*l. Let u be ((-14)/(-8) + 2)*-4. Let o(q) = u*n(q) + 2*v(q). Factor o(d).
3*d**3*(2*d + 1)
Let y be (0 - 2/(-7))*49/21. Suppose -1/3 + t**2 - y*t = 0. What is t?
-1/3, 1
Let n(a) = -9*a**3 + 2*a**2 - 5*a. Let g(k) = -17*k**3 + 4*k**2 - 9*k. Let c(p) = -6*g(p) + 11*n(p). Solve c(l) = 0.
-1/3, 0, 1
Find n such that 120*n**4 - 3*n**5 - 132*n**4 - n**3 - 15*n**3 + n**3 - 6*n**2 = 0.
-2, -1, 0
Let j(g) = g + 3. Suppose -5*i - 6 = h + 2, 2*h + 3*i = -9. Let v be j(h). Solve 1/4*w**4 + 0*w + 0*w**2 + v + 1/4*w**3 = 0.
-1, 0
Let v = 15 - 0. Suppose -4*n - n + v = 0. Factor -6 + 0*l**2 + 10*l**4 - 30*l**2 + 1 - 3 - 4*l**n + 32*l.
2*(l - 1)**2*(l + 2)*(5*l - 2)
Let x(o) be the third derivative of -1/6*o**5 - 1/8*o**4 + 0 + 0*o - 1/21*o**7 + 7/40*o**6 + 1/3*o**3 - 2*o**2. Find y such that x(y) = 0.
-2/5, 1/2, 1
Let z(s) be the second derivative of s**6/45 - 2*s**5/15 + 2*s**4/9 + s + 4. Factor z(o).
2*o**2*(o - 2)**2/3
Let v(g) be the second derivative of g**6/20 + g**5/20 - g**4/6 - g**3/6 + g**2/4 - 6*g. Determine k, given that v(k) = 0.
-1, 1/3, 1
Let v be 42/49*21/12*2. Factor -2/5*i - 4/5*i**v - i**2 + 0 - 1/5*i**4.
-i*(i + 1)**2*(i + 2)/5
Let z = -1 - -1. Let y be 18/8 + (-4)/16. Solve -3/2*i**y - 1/2*i + z = 0.
-1/3, 0
Let k(s) be the second derivative of 2*s**6/15 + s**5/5 - 2*s**4/3 - 30*s. Factor k(w).
4*w**2*(w - 1)*(w + 2)
Let y(s) be the first derivative of 1 - 2/11*s**3 + 3/11*s**2 + 1/22*s**4 - 2/11*s. Factor y(u).
2*(u - 1)**3/11
Let j(q) = 8*q**4 - 4*q**3 - 4*q**2 + 12. Let l(v) = v**4 - v**3 + 1. Let z(o) = -j(o) + 12*l(o). Factor z(d).
4*d**2*(d - 1)**2
Let i be 2 - (0/(-4) - (-2 - -3)). Let j(q) be the second derivative of 0 + 2*q + i*q**2 + q**3 + 1/90*q**5 + 1/6*q**4. Factor j(u).
2*(u + 3)**3/9
Let r(z) = -z**3 + z**2 - z - 1. Let s(d) = 2*d**4 - 4*d**3 - 2. Suppose -5 = -f - 3*n, f + 7 = 5*f - n. Let l(v) = f*r(v) - s(v). Find x such that l(x) = 0.
-1, 0, 1
Let c = 39 - 32. Let s(w) be the third derivative of -1/105*w**c - 2*w**2 + 0*w**4 + 0 + 1/30*w**6 - 1/30*w**5 + 0*w + 0*w**3. Solve s(t) = 0.
0, 1
Let z(k) = 9*k**4 + 42*k**3 + 40*k**2 + 15*k - 3. Let r(d) = -18*d**4 - 85*d**3 - 80*d**2 - 31*d + 7. Let a(f) = -3*r(f) - 7*z(f). Factor a(x).
-x*(x + 3)*(3*x + 2)**2
Let b(d) be the third derivative of d**8/336 + d**7/42 - d**6/24 - 5*d**5/12 + 5*d**4/3 - 8*d**3/3 + 31*d**2. Let b(s) = 0. What is s?
-4, 1
Factor -5*y + 11*y + 3*y**2 - 3*y**3 - 6*y**2.
-3*y*(y - 1)*(y + 2)
Let v(s) be the second derivative of 0*s**4 + 1/168*s**7 + 0*s**2 - 1/40*s**5 + 0*s**6 - 6*s + 1/24*s**3 + 0. Factor v(c).
c*(c - 1)**2*(c + 1)**2/4
Let k(c) be the third derivative of -c**8/1512 - 2*c**7/945 - c**6/540 + 13*c**2. Factor k(z).
-2*z**3*(z + 1)**2/9
Suppose 8 + 2 = 5*t. Factor -j**3 + t*j**4 - 3*j**3 + 7*j**3 - j**3.
2*j**3*(j + 1)
Let w(g) be the second derivative of 5*g + 1/27*g**3 + 0 + 1/54*g**4 + 0*g**2. Factor w(j).
2*j*(j + 1)/9
Let w be (-556)/840 + 2/3. Let q(g) be the third derivative of g**2 + 0*g**3 + 0*g - w*g**5 - 1/84*g**4 + 0. Factor q(d).
-2*d*(d + 1)/7
Let q(n) = -3*n**5 + 11*n**4 - n**3 - 9*n**2 - 6*n + 3. Let j(g) = -g**5 + 5*g**4 - 4*g**2 - 3*g + 1. Let x = 6 + -4. Let l(a) = x*q(a) - 5*j(a). Factor l(z).
-(z - 1)*(z + 1)**4
Let t be (-1 - -2) + 57/7. Let n = -178/21 + t. Find m, given that -1/6*m**2 + 0*m - n*m**3 + 0 = 0.
-1/4, 0
Let x(s) be the first derivative of 2*s**5/5 - 3*s**4/2 + 2*s**3/3 + 3*s**2 + 8*s + 3. Let i(c) = -c**3 + c**2 + c + 1. Let p(k) = -6*i(k) + x(k). Factor p(o).
2*(o - 1)**2*(o + 1)**2
Suppose -2*u + 1 = -3. Suppose -3*m + 22 = 4*v, 4*m - 5*v + u*v + 4 = 0. Let 4/9 + 10/9*k**3 + 14/9*k + m*k**2 + 2/9*k**4 = 0. What is k?
-2, -1
Let o(b) be the first derivative of b**6/2 - 9*b**5/5 + 3*b**4/4 + 3*b**3 - 3*b**2 - 22. Determine n, given that o(n) = 0.
-1, 0, 1, 2
Suppose 20 = 5*h - h. Suppose 0 = h*k + 5 - 0, 5*p - 2*k = 22. Determine n so that n**3 + 0*n + 49/4*n**5 + 0*n**2 + 0 + 7*n**p = 0.
-2/7, 0
Determine q so that -2*q**2 + 328*q + 8 - 328*q = 0.
-2, 2
Let g(q) be the second derivative of q**4/20 - 3*q**3/10 + 3*q**2/5 + 2*q - 10. What is d in g(d) = 0?
1, 2
Let w be (-567)/(-168) - 3/8. Suppose w + 2*i + 1/3*i**2 = 0. What is i?
-3
Suppose 4*p + 2*m + 3*m + 5 = 0, -3 = -m. Let y = p - -7. Determine v, given that 2*v**2 + 2/3*v + 0 + y*v**3 + 2/3*v**4 = 0.
-1, 0
Let u be 1*(-1 + 4 - 0). Find j, given that 1/3*j**u - 1/3*j + 1/3 - 1/3*j**2 = 0.
-1, 1
Let z(x) = -18*x**3 - 46*x**2 - 28*x - 6. Let p(v) = 85*v + 26*v**3 - 21*v**3 + 19 + 137*v**2 + 49*v**3. Let t(n) = -2*p(n) - 7*z(n). Factor t(f).
2*(f + 2)*(3*f + 1)**2
Factor 6046 - 15*w**3 - 10*w**2 - 10*w**3 - 6046 - 15*w**4.
-5*w**2*(w + 1)*(3*w + 2)
Let i(u) be the third derivative of u**5/210 - u**4/84 + 2*u**2. Factor i(b).
2*b*(b - 1)/7
Let b(s) = 4 - 4*s**2 + s**2 - 12*s + 3*s. Let v(d) = -3 - 2*d**2 - d**2 + 6 - 8*d. Let o(i) = -4*b(i) + 5*v(i). Find z such that o(z) = 0.
-1, -1/3
Let z(r) be the third derivative of -3*r**2 + 0*r**3 + 0*r**4 + 0 + 0*r - 1/150*r**5 - 1/300*r**6. Factor z(v).
-2*v**2*(v + 1)/5
Factor 2/5*p**2 + 12/5 + 2*p.
2*(p + 2)*(p + 3)/5
Let d(t) be the first derivative of -7*t**5/20 - t**4 - 11*t**3/12 - t**2/4 - 16. What is w in d(w) = 0?
-1, -2/7, 0
Let w be 35 + 1/(-1) + 1. Suppose -w = -3*d - 11. Find b, given that d*b**5 - 14*b**4 + 2*b**2 + 7 - 7 + 4*b**3 = 0.
-1/4, 0, 1
Let s(g) = g**2 + 8*g - 13. Let a be s(-10). Let 0 + 9/4*x**5 - 15/2*x**4 + a*x**3 - 2*x**2 + 0*x = 0. What is x?
0, 2/3, 2
Let y(v) be the first derivative of -v**7/840 + v**5/120 - v**3/24 - v**2/2 - 7. Let p(x) be the second derivative of y(x). Factor p(k).
-(k - 1)**2*(k + 1)**2/4
Let 2/5*o**3 + 6/5 - 6/5*o**2 - 2/5*o = 0. What is o?
-1, 1, 3
Let p(h) be the third derivative of h**6/280 + h**5/140 + 9*h**2. Factor p(i).
3*i**2*(i + 1)/7
Let r = 9 + -5. Suppose 4*l - 2*l + l**3 - 3*l**3 + l**2 - l**r = 0. What is l?
-2, -1, 0, 1
Let z = -369/7 + 53. Find s, given that 0 - 6/7*s**4 - z*s**2 + 2/7*s**5 + 0*s + 6/7*s**3 = 0.
0, 1
Suppose 0 = 5*k - 36 + 16. Let l(p) be the second derivative of 2*p + 1/15*p**3 + 0*p**2 - 11/60*p**k + 7/50*p**5 + 0. What is j in l(j) = 0?
0, 2/7, 1/2
Suppose 4/7 - 2/7*c**2 - 2/7*c = 0. What is c?
-2, 1
Factor -2*p**2 - 2/5*p**4 + 0 + 4/5*p + 8/5*p**3.
-2*p*(p - 2)*(p - 1)**2/5
Let q(i) be the first derivative of -2*i**3/15 + 8*i**2/5 - 32*i/5 - 6. Factor q(t).
-2*(t - 4)**2/5
Let q(r) be the first derivative of -r**7/490 + 3*r**6/280 - 3*r**5/140 + r**4/56 + 3*r**2/2 + 7. Let u(b) be the second derivative of q(b). Factor u(d).
-3*d*(d - 1)**3/7
Suppose 2*t = -9*t + 33. Let q(k) be the third derivative of 0*k - 1/21*k**t - 2*k**2 + 0 - 1/42*k**4 - 1/210*k**5. Factor q(w).
-2*(w + 1)**2/7
Let w be (3 + -1)/1 + 0. Let c = 8 - 6. Suppose -4 + c*p**w + 4 - 2 = 0. What is p?
-1, 1
Suppose 0 = 4*r - 2*r. Let j(z) be the second derivative of 1/42*z**4 + r - z + 0*z**3 + 0*z**2. Factor j(w).
2*w**2/7
Let m be ((-6)/(-5 - -8))/(-4). Factor -1/4 + 1/4*d + m*d**2 - 1/2*d**3 - 1/4*d**4 + 1/4*d**5.
(d - 1)**3*(d + 1)**2/4
Let 0 + 1/4*u**2 + 0*u + 1/4*u**3 = 0. What is u?
-1, 0
Let q = -56/45 + 13/9. Let b(m) be the first derivative of 1/8*m**4 + q*m**5 + 3 + 1/2*m - 1/2*m**3 - 1/4*m**2. Determine g, given that b(g) = 0.
-1, 1/2, 1
Suppose -7*v = -3*v + 2*t - 48, -36 = -4*v + 4*t. Suppose 3*y - 20 + v = 0. Factor 2/3*a - 2/9 - 2/9*a**5 - 4/9*a**y + 2/3*a**4 - 4/9*a**2.
-2*(a - 1)**4*(a + 1)/9
Let a(m) = -m + 1. Let z be a(-1). Factor 6*v - 4*v**3 - z*v**3 + 3 - 3*v**4 + 3*v**2 - 3*v**2.
-3*(v - 1)*(v + 1)**3
Let z(q) be the third derivative of q**7/2772 - q**6/1980 + 5*q**4/24 - 4*q**2. Let f(h) be the second derivative of z(h). Solve f(c) = 0 for c.
0, 2/5
Let d(n) be the second derivative of -n**3/6 + 3*n**2 + n. Let t be d(0). Determine b, given that -b - b**4 - t*b**2 + 5*b**2 - 3*b**3 - 2*b**2 = 0.
-1, 0
Let q(a) = 7*a**5 + 14*a**4 - a**3 - 7*a**2 + a - 1. Let b(l) = l**5 - l**3 + l**2 + l - 1. Let z(d) = 2*b(d) - 2*q(d). Solve z(x) = 0 for x.
-2, -1, 0, 2/