n - 1)*(n + 1)**2*(3*n - 1)
Find q, given that 1/4*q**3 - 1/4*q - 1/4 + 1/4*q**2 = 0.
-1, 1
Let k(p) be the second derivative of p**6/15 - p**5/2 + 4*p**4/3 - 4*p**3/3 - 37*p. Let k(s) = 0. What is s?
0, 1, 2
Suppose 0*q + 0*q**2 + 0 + 2/15*q**4 + 2/15*q**3 = 0. Calculate q.
-1, 0
Let b(o) be the first derivative of -2*o**3/21 - 15. Let b(j) = 0. What is j?
0
Let v(n) = n**3 + 7*n**2 + 5*n - 2. Let o be v(-6). Let f be ((-2)/o)/(3/(-42)). Let -3*h + f*h - 2 + 0*h - 2*h**2 = 0. What is h?
1
Let t(z) be the second derivative of 7*z**5/150 + 3*z**4/20 + 2*z**3/15 + z**2/2 - 2*z. Let d(a) be the first derivative of t(a). Factor d(b).
2*(b + 1)*(7*b + 2)/5
Let d = 1126/3 - 374. Find f such that 0 - 2/3*f - d*f**2 - 2/3*f**3 = 0.
-1, 0
Let x(k) be the second derivative of 1/10*k**5 + 0*k**3 - 1/15*k**6 - 1/21*k**7 - k + 0*k**2 + 0 + 1/6*k**4. Solve x(n) = 0 for n.
-1, 0, 1
Let j(p) be the third derivative of -p**8/1176 + 2*p**7/735 - p**5/105 + p**4/84 + 24*p**2. Factor j(u).
-2*u*(u - 1)**3*(u + 1)/7
Let w(n) be the third derivative of -n**6/180 + 11*n**5/90 - 35*n**4/36 + 25*n**3/9 + 27*n**2. Determine l, given that w(l) = 0.
1, 5
Let i be (-57)/(-12) - 1/(-4). Let c be (1/i)/(4/5). Let 0 + c*n + 1/4*n**2 = 0. Calculate n.
-1, 0
Let d be 18/7*(15/(-9) + 2). Factor 2/7*x**4 - d*x**2 - 4/7 + 2/7*x**3 - 10/7*x.
2*(x - 2)*(x + 1)**3/7
Let u(g) = -g**3 + g**2 + g - 1. Let y be u(-1). Factor -1/4*i**2 + y - 1/2*i.
-i*(i + 2)/4
Let h(f) = -f**2 + 11*f - 8. Let l be h(9). Suppose 6 - l = -2*m. Factor 0 - 1/3*t**4 + 0*t - 2/3*t**m + t**3.
-t**2*(t - 2)*(t - 1)/3
Let j(m) be the second derivative of -1/147*m**7 + 1/35*m**5 + 0*m**4 - 3*m + 0 - 1/21*m**3 + 0*m**2 + 0*m**6. Factor j(o).
-2*o*(o - 1)**2*(o + 1)**2/7
Let j = 183 - 547/3. Solve 2/3*d**4 + 0 - j*d**2 - 2/3*d**3 + 2/3*d = 0 for d.
-1, 0, 1
Let n be (-60)/20 + 3*1. Let i(j) be the second derivative of -1/18*j**4 + 1/18*j**3 + 0*j**2 + 1/45*j**6 + n*j**5 + 2*j + 0 - 1/126*j**7. Factor i(k).
-k*(k - 1)**3*(k + 1)/3
Let q(z) = -4*z**3 + z**2 + 5*z - 5. Let k(v) = 2*v**3 - v**2 - 3*v + 3. Let b(g) = -5*k(g) - 3*q(g). Factor b(o).
2*o**2*(o + 1)
Suppose 0 = x - f - 1 - 7, -2*x + 24 = 2*f. Let g be (-51)/(-15) + x/(-25). Factor 0*m**2 - 4/7*m**4 - 2/7*m**5 + 0 + 0*m - 2/7*m**g.
-2*m**3*(m + 1)**2/7
Let i(v) be the second derivative of v**6/210 - v**5/35 + 8*v**3/21 - 8*v**2/7 + 47*v. Factor i(o).
(o - 2)**3*(o + 2)/7
Suppose 3 = 3*f + 5*c, 2*f = -2*c + 3*c + 2. Let v be -2 + 1 + f - -2. Find d, given that -v*d**5 - 36*d**4 + 36*d**4 + 2*d**3 = 0.
-1, 0, 1
Suppose 776*x = 771*x. Factor 1/3*c**2 - 1/3*c**4 + x + 0*c**3 + 0*c.
-c**2*(c - 1)*(c + 1)/3
Factor -4*u**4 + 6*u**4 - 35 + 10*u**2 + 4*u + 8*u**3 + 35.
2*u*(u + 1)**2*(u + 2)
Suppose -3*p + 2*c = -10, 4*p - 15 = -6*c + 9*c. Determine i so that 0*i - 2/11*i**2 + p = 0.
0
Let u(c) = -2*c**4 + 4*c**3 + 2*c**2 - 4*c. Let f(z) = -2*z**4 + 4*z**3 + 2*z**2 - 4*z. Let v(b) = -2*f(b) + 3*u(b). Factor v(n).
-2*n*(n - 2)*(n - 1)*(n + 1)
Let z be (-2 - (-2 + 1)) + 4. Factor 2*v + 3 + 21*v**2 - 13*v - 4*v + 0*v**z - 9*v**3.
-3*(v - 1)**2*(3*v - 1)
Suppose 1/2*q**2 - 1/2*q**4 - 1/2*q**3 + 1/2*q + 0 = 0. Calculate q.
-1, 0, 1
Suppose -9 + 12 = f. Suppose 3*z = -4*w - 5, z - 2*w - 25 = -2*z. Determine l so that -5*l**f + 4*l**2 + l**5 + 4*l**4 + 0*l**z - 2*l**2 - 2*l**5 = 0.
0, 1, 2
Let d(n) be the third derivative of 3/4*n**4 + 0*n + 0 - 1/20*n**5 - 9/2*n**3 + 4*n**2. Factor d(u).
-3*(u - 3)**2
Suppose 0 = 2*d - 16 + 10. Find q, given that 3*q + 26*q**3 + 4*q**4 - 17*q**d - q**4 + 9*q**2 = 0.
-1, 0
Factor 2*f + 41 - 4*f**2 + 3*f**2 - 42.
-(f - 1)**2
Let z(x) be the third derivative of -x**6/30 - 3*x**5/5 - 5*x**4/2 + 50*x**3/3 - 3*x**2 - 5. Factor z(q).
-4*(q - 1)*(q + 5)**2
Let n be -1 - (1*-3 + (5 - 6)). Factor 0 - 3/2*z**2 + 3/2*z**n - 1/2*z**4 + 1/2*z.
-z*(z - 1)**3/2
Let q(y) be the third derivative of -2*y**2 + 1/525*y**7 + 1/150*y**5 + 0*y**4 - 1/150*y**6 + 0*y + 0 + 0*y**3. Factor q(z).
2*z**2*(z - 1)**2/5
Suppose 2*y + r - 13 = -y, 1 = r. Factor -2*g - y*g**2 - 4*g - 2*g.
-4*g*(g + 2)
Let j(p) be the first derivative of 3*p**5/5 + 15*p**4/4 + 9*p**3 + 21*p**2/2 + 6*p + 19. Let j(a) = 0. What is a?
-2, -1
Let a be 12/(-4) - (0 - -1). Let s be 30/54 + a/18. Factor -s*m - 1/3*m**2 + 2/3.
-(m - 1)*(m + 2)/3
Suppose -3*u = 0, 3*s - 2 - 4 = -3*u. Solve 3*h**2 - 12*h + 12 + 0*h**s + 0*h**2 = 0.
2
Let s(h) be the third derivative of h**6/180 - h**5/15 + h**4/4 + 4*h**2. Let s(w) = 0. Calculate w.
0, 3
Let o(c) = c**2 - c. Let i(q) = -6*q**2 - 4*q + 10. Let d(z) = i(z) + 4*o(z). Factor d(k).
-2*(k - 1)*(k + 5)
Suppose 5*c + 87 = 107. Factor 0*j**2 + 0 + 0*j - 1/3*j**c - 1/3*j**3.
-j**3*(j + 1)/3
Let q(w) be the second derivative of w**6/120 - w**5/20 + w**4/8 - w**3/6 + w**2/8 + 5*w. Factor q(f).
(f - 1)**4/4
Factor 18/7*f + 3/7*f**2 + 27/7.
3*(f + 3)**2/7
Let k(q) be the second derivative of -q**8/4200 + q**7/2100 + q**3/3 + 3*q. Let y(c) be the second derivative of k(c). Factor y(w).
-2*w**3*(w - 1)/5
Let z(r) = r - 4. Let v be z(5). Let 6*q + q**2 + 5 + q**2 - v = 0. Calculate q.
-2, -1
Suppose 2 = 3*b - 10. Let d be ((-30)/b)/3 - -3. What is f in 1/2*f**4 + 0 - d*f + 1/2*f**3 - 1/2*f**2 = 0?
-1, 0, 1
Let t(v) be the third derivative of v**6/24 - 9*v**2. Find n, given that t(n) = 0.
0
Suppose -3*y + 0 = -21. Let i(r) be the second derivative of 1/42*r**y + 0*r**2 + 3/20*r**5 + r - 1/10*r**6 + 0*r**3 + 0 - 1/12*r**4. Factor i(q).
q**2*(q - 1)**3
Solve 0*l + 0*l**2 + 1/3*l**5 + 0 + 0*l**3 - 1/3*l**4 = 0.
0, 1
Let n be (40/12 - 5)/((-5)/6). Factor 6/5*c**n + 2/5*c - 4/5.
2*(c + 1)*(3*c - 2)/5
Determine n so that -3*n + 12*n - 301 + 15*n**2 + 311 + 16*n = 0.
-1, -2/3
Let f be 52/(-16) - (-4 + 1). Let t = f + 1/2. What is z in -1 - t*z**2 - z = 0?
-2
Suppose -v + 2 = 5, 18 = 2*z - 4*v. Let o be (-4)/(-2) - z - -3. Factor -2/3*a + 4/3 - o*a**2.
-2*(a + 1)*(3*a - 2)/3
Let s = 7 - -34. Let t = s - 36. Factor 10/3*b**4 + 2/3 - 2/3*b**t - 20/3*b**3 - 10/3*b + 20/3*b**2.
-2*(b - 1)**5/3
Let a(d) be the first derivative of 2*d**4 - 20*d**3/3 + 19*d**2/2 - 17*d - 5. Let v(l) = 9*l**3 - 21*l**2 + 18*l - 18. Let h(i) = 6*a(i) - 5*v(i). Factor h(j).
3*(j - 2)**2*(j - 1)
Let y(j) = j**3 + 5*j**2 + 5*j + 5. Let t be y(-4). Suppose 2 = g - t. Factor 2/7*i**2 + 0 - 2/7*i + 2/7*i**g - 2/7*i**4.
-2*i*(i - 1)**2*(i + 1)/7
Solve 0 - 1/6*p**2 - 1/3*p = 0 for p.
-2, 0
Let v(r) = 3*r - 1. Let g(m) = m**3 - 3*m**2 + m - 2. Let z be g(3). Let j be v(z). Factor -k - 2*k**4 + k - j + 4*k**2.
-2*(k - 1)**2*(k + 1)**2
Let x = 9/2 - 13/3. Let p(h) be the second derivative of 0*h**3 + 0 + 0*h**2 - 2*h - x*h**4. Factor p(a).
-2*a**2
Let r(d) be the third derivative of -d**6/180 - d**5/30 - d**4/12 + d**3/3 + 2*d**2. Let a(v) be the first derivative of r(v). Factor a(w).
-2*(w + 1)**2
Let r(m) = 2*m - 2. Let q be r(3). Suppose -4*l + 1 = -3*x - 5, 3*l = -q*x + 17. Factor 2*n + n + 0*n - n + 2*n**x.
2*n*(n + 1)
Let i be 1/((2/(-4))/(-1)). Let h be (-10)/(-1*i/1). Suppose 0 - 2/5*j**3 + 0*j**2 + 0*j**4 + 0*j + 2/5*j**h = 0. Calculate j.
-1, 0, 1
Let d(r) = 2*r**3 - 3*r**2 - 2*r + 3. Let k be d(2). Factor 0 + 0*y - 4/9*y**k - 2/9*y**2 - 2/9*y**4.
-2*y**2*(y + 1)**2/9
Let n = 1 + 0. Find i such that -n - 4*i + 3 + 0*i + 2*i**2 = 0.
1
Let f(j) be the third derivative of j**7/70 + j**6/40 - j**5/20 - j**4/8 - 4*j**2. Factor f(p).
3*p*(p - 1)*(p + 1)**2
Suppose -3*p + 2*p + 3*b + 38 = 0, 5*p - 4*b - 135 = 0. Factor 3*g - 18*g**3 - 8 + 9*g**2 - 35*g - 28*g**2 - p*g**2.
-2*(g + 1)*(3*g + 2)**2
Let i = -1339 - -1339. Find x such that -7/3*x**5 - 23/3*x**4 - 9*x**3 + i - 2/3*x - 13/3*x**2 = 0.
-1, -2/7, 0
Let z be (-2 + -1)/(((-6)/(-4))/(-1)). Let g = 49/33 - 9/11. Factor o**z - g*o + 0.
o*(3*o - 2)/3
Let c(f) be the third derivative of -1/42*f**3 + 3*f**2 - 3/28*f**4 - 9/35*f**5 + 0*f + 0 - 9/35*f**6. Factor c(u).
-(6*u + 1)**3/7
Factor 1/2*q**2 + 0 + q.
q*(q + 2)/2
Let f(b) be the third derivative of 0*b**3 + 1/4*b**4 + 0*b + 0 + 1/40*b**6 - 2*b**2 - 3/20*b**5. Let f(v) = 0. What is v?
0, 1, 2
Let i(w) = -11*w**2 - 12*w + 7. Let h(p) = 10*p**2 + 12*p - 6. Let m(t) = 7*h(t) + 6*i(t). Factor m(s).
4*s*(s + 3)
Suppose 0 = 33*x - 27*x. What is y in 2/5*y**2 - 2/5*y**3 + 0 + x*y = 0?
0, 1
Let r(g) be the fir