 be n(-1). Let g(u) = 39*u**2 + 60*u + 36. Let a(c) = 8*c**2 + 12*c + 7. Let z(t) = r*a(t) - 5*g(t). Solve z(v) = 0.
-2
Let v be 2*(-3)/(-12)*10. Determine a, given that -4*a + 5*a - 2*a**2 + 2*a - v*a = 0.
-1, 0
Let k(v) be the second derivative of 2/21*v**7 + 2*v**2 - 10*v + 10/3*v**4 + 2/3*v**6 + 10/3*v**3 + 2*v**5 + 0. Find t such that k(t) = 0.
-1
Let m be (5/10)/(4*4/64). Determine i, given that 15/4*i**3 + 0 - 3/2*i - 9/4*i**m = 0.
-2/5, 0, 1
Let q(i) be the second derivative of 1/21*i**4 - 1/21*i**3 + 1/70*i**5 + 4*i + 0 - 2/7*i**2. Factor q(k).
2*(k - 1)*(k + 1)*(k + 2)/7
Let z(q) be the first derivative of -2/27*q**3 - 4/9*q**2 + 2 - 2/3*q. Factor z(b).
-2*(b + 1)*(b + 3)/9
Suppose 4*d = 21*d - 68. Let a(p) be the third derivative of 3*p**2 + 0*p + 0*p**3 + 1/60*p**5 + 0*p**d + 1/140*p**7 - 1/48*p**6 + 0. Find g such that a(g) = 0.
0, 2/3, 1
Let n = 3061/4 + -765. Let 0 - 3/2*o**3 - 1/4*o**5 + o**4 + o**2 - n*o = 0. Calculate o.
0, 1
Let n(k) be the first derivative of -10*k**3/3 - 3*k**2/2 + 13*k - 7. Let y(c) = -3*c**2 - c + 4. Let w(z) = 2*n(z) - 7*y(z). Factor w(r).
(r - 1)*(r + 2)
Determine z, given that 7/2*z - z**2 + 2 = 0.
-1/2, 4
Let g(l) = -4*l**5 + 4*l**3 - 5. Let p be 2 - 3/(-3) - 0. Let u(t) = 3*t**3 - 4 + 0*t**5 - 3*t**5 + 0*t**p. Let k(j) = 4*g(j) - 5*u(j). Solve k(v) = 0 for v.
-1, 0, 1
Let n(g) = -g**3 - 4*g**2 + 4*g. Let u be n(-5). Let k(p) be the third derivative of 2*p**2 + 7/120*p**u + 1/6*p**3 + 0 + 3/16*p**4 + 0*p. Factor k(h).
(h + 1)*(7*h + 2)/2
Let j be 21/5 + (-1)/5. Let l = -219 + 219. Suppose 0*b - 4/5*b**3 + 0 + l*b**2 + 2/5*b**j = 0. What is b?
0, 2
Let d(f) be the first derivative of 11*f**3/3 + f**2 + 3. Factor d(v).
v*(11*v + 2)
Let g be (-343)/(-252) + 8/(-6). Let o(t) be the third derivative of -2*t**2 - g*t**4 + 0*t**3 + 1/315*t**7 + 0*t - 1/60*t**6 + 1/30*t**5 + 0. Factor o(i).
2*i*(i - 1)**3/3
Let j = 27/22 + -8/11. Solve 0*r**2 - 1 - 3/2*r + j*r**3 = 0.
-1, 2
Let x(p) = -p**3 - 1. Let b(o) = o**4 + o**3 + 9*o**2 + 7*o - 2. Let u(k) = -b(k) + 4*x(k). Determine n, given that u(n) = 0.
-2, -1
Find r, given that 0*r**3 - 4*r - 2*r**3 + 7*r**2 - 13*r**2 + 0*r**3 = 0.
-2, -1, 0
Let a be ((-12)/(-9))/(2/9). Let d(z) = -4*z - 6. Let y(t) = -t**2 - 11*t - 17. Let c(n) = a*y(n) - 17*d(n). Solve c(q) = 0.
0, 1/3
Let o(l) be the first derivative of -3/5*l**2 - 7 + 3/25*l**5 - 3/5*l**3 + 0*l + 0*l**4. Determine s, given that o(s) = 0.
-1, 0, 2
Suppose 2*p**2 - 14*p**2 + 12 + 46*p - 14*p = 0. What is p?
-1/3, 3
Factor 3 - 313*m**2 + 3*m - 3*m**3 + 295*m**2 + 15.
-3*(m - 1)*(m + 1)*(m + 6)
Suppose h - 23 = 5*v, -2*v + 1 = -5*h - 6*v. Find f, given that 4*f - h*f - 11*f**3 + 10*f**3 = 0.
-1, 0, 1
Determine l, given that 2*l**2 + 4/7 - 18/7*l = 0.
2/7, 1
Let h = -28 + 42. Let j be (8/h)/(30/21). Solve 2/5*f**2 + 0 + 1/5*f + 0*f**3 - 1/5*f**5 - j*f**4 = 0.
-1, 0, 1
Suppose 2*u - u = -a + 1, 0 = 5*u + 3*a - 7. Factor -2/3*x**u + 2/3 + 0*x.
-2*(x - 1)*(x + 1)/3
Let q(y) = -y**2 - 11*y + 26. Let p be q(-13). What is h in 0*h + p*h**2 + 4/5*h**5 + 4/5*h**3 + 0 + 8/5*h**4 = 0?
-1, 0
Determine r so that 0*r + 0 - 8/7*r**3 + 0*r**4 + 2/7*r**5 + 0*r**2 = 0.
-2, 0, 2
Let h be 3 - (132/(-40) + 4)*4. Factor -h*x**2 - 2/5 - 3/5*x.
-(x + 1)*(x + 2)/5
Let f(m) be the third derivative of m**9/37800 + m**8/16800 - m**7/6300 - m**6/1800 - m**4/4 + 6*m**2. Let i(b) be the second derivative of f(b). Factor i(g).
2*g*(g - 1)*(g + 1)**2/5
Let u(k) be the second derivative of k**8/840 - k**7/420 - k**6/180 + k**5/60 + 2*k**3/3 + 2*k. Let l(t) be the second derivative of u(t). Factor l(a).
2*a*(a - 1)**2*(a + 1)
Let x be (-5)/(-2) + 1/2. Suppose -x*z = -z. Factor z + 45/4*q**3 + 25/4*q**4 + q + 6*q**2.
q*(q + 1)*(5*q + 2)**2/4
Suppose 0*k - k - 14 = -5*q, 5*k + 22 = q. Let g(y) be the first derivative of -2/3*y - 2/3*y**q + 2 - 2/9*y**3. Determine o, given that g(o) = 0.
-1
Let l(a) be the second derivative of a**4/42 + a**3/21 - a. Factor l(j).
2*j*(j + 1)/7
Let t(r) = r**2 - 4*r + 3. Let j be -6*5/(15/(-2)). Let w be t(j). What is k in w*k**5 + 8*k - 2*k - 3*k - 6*k**3 = 0?
-1, 0, 1
Factor -131*w**4 + 134*w**4 - 3*w + 2*w**3 + w**5 + 3*w.
w**3*(w + 1)*(w + 2)
Factor 9/2*k**2 + 27/2 + 1/2*k**3 + 27/2*k.
(k + 3)**3/2
Let c(o) = -2*o**4 - 3*o**3 + 2*o**2 + 3*o - 3. Let w(s) = s**4 + 2*s**3 - s**2 - 2*s + 2. Let i(r) = -2*c(r) - 3*w(r). Factor i(y).
y**2*(y - 1)*(y + 1)
Let q = 2/7931 + 7204/23793. Let t = q - -26/11. Find b such that -44/3*b**2 - 2/3 + 56/3*b**3 - 34/3*b**4 + t*b**5 + 16/3*b = 0.
1/4, 1
What is q in 0 + q**2 - 1/6*q = 0?
0, 1/6
Let j be 8/48 - (-7)/(-6). Let m be 4/j + (-66)/(-12). Factor -3/2*n**3 - 3/2 + 3/2*n**2 + m*n.
-3*(n - 1)**2*(n + 1)/2
Let u(n) be the second derivative of -6*n**7/7 + 8*n**6/3 - 13*n**5/5 + 2*n**4/3 + 9*n. Suppose u(k) = 0. What is k?
0, 2/9, 1
Factor 568*o**3 + 33*o - 4 - 29*o**5 + 134*o**4 + 21*o - 614*o**4 - 266*o**2 + 157*o**5.
2*(o - 2)*(o - 1)*(4*o - 1)**3
Let w(m) be the first derivative of -2*m**5/15 + m**4/4 - m**2/6 - 4. Solve w(n) = 0.
-1/2, 0, 1
Factor 0 + 0*b + 0*b**4 + 0*b**2 - 2/5*b**3 + 2/5*b**5.
2*b**3*(b - 1)*(b + 1)/5
Let 145*x**2 - 9*x - 71*x**2 - 72*x**2 + 21*x = 0. What is x?
-6, 0
Let b(r) be the first derivative of r**6/60 + 2*r**5/15 + 5*r**4/12 + 2*r**3/3 - 3*r**2/2 - 3. Let g(n) be the second derivative of b(n). Factor g(q).
2*(q + 1)**2*(q + 2)
Let d(x) be the third derivative of -1/105*x**6 - 1/735*x**7 - 2/105*x**5 + 0*x**4 - 3*x**2 + 0*x**3 + 0*x + 0. Factor d(p).
-2*p**2*(p + 2)**2/7
Let -128/3*s**2 + 50*s**5 - 32/3*s - 16/3*s**3 + 0 + 320/3*s**4 = 0. What is s?
-2, -2/5, 0, 2/3
Factor -4/13*l**3 + 6/13*l + 4/13*l**2 + 2/13 - 2/13*l**5 - 6/13*l**4.
-2*(l - 1)*(l + 1)**4/13
Let o(a) be the first derivative of a**7/840 + a**6/120 + a**5/40 + a**4/24 + a**3 + 3. Let v(d) be the third derivative of o(d). Find f, given that v(f) = 0.
-1
Let i be ((-1 - 2)/(-3))/(-1). Let l = 1 - i. Find p, given that -4*p**3 - 2*p**2 - 2*p**4 + 0*p**3 + 0*p**l = 0.
-1, 0
Let x(k) be the second derivative of 1/5*k**5 - 1/6*k**4 - k + 0 + k**2 - 2/3*k**3. Factor x(m).
2*(m - 1)*(m + 1)*(2*m - 1)
Let y(z) = -5*z**3 + 2*z + z**3 - 12 + 11*z**2 - 3*z**2 + 3*z**3. Let d be y(8). Let -2/7*j**2 - 2/7*j**d + 0*j + 0 + 4/7*j**3 = 0. Calculate j.
0, 1
Let q(i) = i**2 - 5*i - 4. Let c be q(8). Suppose 20 = 2*k - 5*h, -2*h = -3*k - 7*h - c. Factor k*r**4 - 2/7*r**2 + 0 + 8/7*r**5 - 6/7*r**3 + 0*r.
2*r**2*(r - 1)*(2*r + 1)**2/7
Factor -4*o**2 - 12*o + 14 + 6*o**2 + 4.
2*(o - 3)**2
Let p be (-4)/((-1 + 0)*2). Suppose -8 = -2*h - p*h. Factor 3/2*s + 3/2*s**h + 1/2 + 1/2*s**3.
(s + 1)**3/2
Let g(o) be the first derivative of 0*o + 4 - 1/10*o**6 + 6/25*o**5 + 3/10*o**2 + 0*o**4 - 2/5*o**3. Factor g(y).
-3*y*(y - 1)**3*(y + 1)/5
Let f be (2/(-1))/(-9 - -7)*0. Factor f*p - 2/9*p**2 + 2/9.
-2*(p - 1)*(p + 1)/9
Factor 0*n - 4/7*n**3 - 2/7*n**4 + 0 + 6/7*n**2.
-2*n**2*(n - 1)*(n + 3)/7
Let t = -62 + 66. Let l(w) be the second derivative of -1/15*w**3 + 1/30*w**t + w - 2/5*w**2 + 0. Factor l(z).
2*(z - 2)*(z + 1)/5
Suppose 5*n + 2*g - 1 - 15 = 0, 3*n + 4*g = 18. Factor -2*p**5 - 2 + 2*p**4 + 4*p**3 + n.
-2*p**3*(p - 2)*(p + 1)
Let g = -2 - -3. Let m be 5 - 2 - (4 - g). Factor m - 2/7*x**2 + 2/7*x.
-2*x*(x - 1)/7
Let o(a) be the third derivative of 0*a + 1/6*a**4 - 1/30*a**5 + 3*a**2 + 0*a**3 + 0. Let o(p) = 0. Calculate p.
0, 2
Let h(j) = -j**3 + 7*j**2 - j + 10. Let k be h(7). Suppose -3*p - p + 0*p + 12*p**2 - k*p**3 - 8*p = 0. Calculate p.
0, 2
Let z be (3 + 1)*1*2/28. Factor -4/7*i**3 + 0 + z*i**2 - 2/7*i**4 + 4/7*i.
-2*i*(i - 1)*(i + 1)*(i + 2)/7
Let x be (2/(-6))/(124/(-24) - -4). What is q in 0 + 0*q + 2/7*q**4 + 0*q**3 + 0*q**2 - x*q**5 = 0?
0, 1
Let b(a) = 2*a - 4. Let w be b(3). Let q(g) = 3*g**2 - 2*g + 1. Let t be q(1). Factor 2*r**3 + 12*r**w + 0*r + 8*r - r**t - 3*r**2.
2*r*(r + 2)**2
Let k(a) = -a. Let v(m) = 28*m**2 + 10*m + 2. Let w(b) = 5*k(b) - v(b). Find p such that w(p) = 0.
-2/7, -1/4
Let a = -725 + 728. Solve 6*l**2 + 14/3*l + 10/3*l**a + 2/3*l**4 + 4/3 = 0 for l.
-2, -1
Let s(q) = 12*q + 7 - 13*q + 0. Let z be s(4). Find f such that -2*f + z + 1/3*f**2 = 0.
3
Let x(a) be the second derivative of -a**5/90 - a**4/27 - a**3/27 + 25*a. Factor x(u).
-2*u*(u + 1)**2/9
Let n(g) be the