 3690/13. Factor 0 + u*z - 2/13*z**2.
-2*z*(z - 1)/13
Let w be (-7)/14*0/2. What is u in 0 + w*u - 1/2*u**2 = 0?
0
Let w = -10 - -14. Determine s, given that -2*s**2 + 4*s**5 - 4*s**4 + 0*s**w + 6*s**2 - 4*s**3 = 0.
-1, 0, 1
Factor -8/7 - 4/7*u + 8/7*u**2 + 4/7*u**3.
4*(u - 1)*(u + 1)*(u + 2)/7
Let a(j) = 10*j**5 - 5*j**4 - 15*j**3 + 40*j**2 - 15*j - 5. Let y(p) = p**5 + p**4 + p - 1. Let h(l) = a(l) - 5*y(l). Factor h(d).
5*d*(d - 2)*(d - 1)**2*(d + 2)
Let v(z) = -10*z**4 + 12*z**3 + 15*z**2 - z + 3. Let u(w) = -w**4 + w**3 + w**2 + w + 1. Let a(s) = 6*u(s) - 2*v(s). Factor a(i).
2*i*(i - 2)*(i + 1)*(7*i - 2)
Let z = 3 + -1. Suppose -4*q + 18 = t, z*t - 2*q = t - 6. Factor -s**t + 0*s + 2 - 3*s - 4.
-(s + 1)*(s + 2)
Suppose -2*n - 2 + 8 = 0. Suppose x**3 + 6*x + 2*x**n - 6*x**2 - 2 - x**3 = 0. What is x?
1
What is m in m + 1 - 6*m + m**4 + 4*m - m**5 + 2*m**3 - 2*m**2 = 0?
-1, 1
Let i(z) be the third derivative of -z**5/135 - 2*z**4/27 - z**2. Factor i(y).
-4*y*(y + 4)/9
Let h = -6/59 + 95/354. Determine m, given that 1/2*m + 1/6 + 1/2*m**2 + h*m**3 = 0.
-1
Let i = 66 + -35. Suppose -5*o - 2*d = -0*o - i, -3*d = 3*o - 24. Suppose -2/3 + 10/3*g**o + 31/3*g**3 - 5/3*g + 7/3*g**2 + 31/3*g**4 = 0. Calculate g.
-1, -1/2, 2/5
Let t(b) be the third derivative of b**6/160 + b**5/80 - b**4/16 - 5*b**2. Suppose t(u) = 0. What is u?
-2, 0, 1
Let p = 145 - 141. Let b(m) be the third derivative of 0*m**4 + 0*m + 1/420*m**6 + 0*m**5 + 0*m**7 + 0 - 1/1176*m**8 + 0*m**3 - p*m**2. Factor b(x).
-2*x**3*(x - 1)*(x + 1)/7
Let c = 29 - 27. Factor -20*l - 5 - 4 - 4*l**3 + 1 - 23*l**2 + 7*l**c.
-4*(l + 1)**2*(l + 2)
Let w(t) be the third derivative of t**5/270 + 5*t**4/54 + 25*t**3/27 + 18*t**2. Solve w(y) = 0.
-5
Let t be (-52)/12 - -4 - (-10)/12. Factor -1/2 - t*o**2 + o.
-(o - 1)**2/2
Let v(b) be the second derivative of b**7/28 - b**6/10 - 3*b**5/40 + b**4/4 + 8*b. Let v(l) = 0. Calculate l.
-1, 0, 1, 2
Let t(u) be the second derivative of -u**5/140 - u**4/12 - u**3/7 + u. Determine o so that t(o) = 0.
-6, -1, 0
Let d be 1 - (-3)/(-15) - 0. Let a be 3 + -1 - 16/10. Factor -4/5*m**2 - 2/5*m**5 + a + 2/5*m**4 - 2/5*m + d*m**3.
-2*(m - 1)**3*(m + 1)**2/5
Let o(j) be the first derivative of -7*j**5/5 + 9*j**4/4 + 4*j**3 - 2*j**2 + 2. Factor o(m).
-m*(m - 2)*(m + 1)*(7*m - 2)
Suppose -3*a = -12 + 3. Find z, given that -6*z - z**2 - 2*z**2 + 12*z**a - 3*z = 0.
-3/4, 0, 1
Factor 49/4 - 7/2*c + 1/4*c**2.
(c - 7)**2/4
Let x(u) be the second derivative of -u**6/2 - 19*u**5/15 + 8*u**3/3 - 5*u**2/2 + 6*u. Let n(c) be the first derivative of x(c). Factor n(m).
-4*(m + 1)*(3*m + 2)*(5*m - 2)
Let d(h) be the second derivative of -h**5/390 - h**4/156 + 2*h**3/39 + 4*h**2 - 8*h. Let b(z) be the first derivative of d(z). Factor b(c).
-2*(c - 1)*(c + 2)/13
Let z(y) be the second derivative of y + 0 + 0*y**3 + 0*y**5 + 1/150*y**6 - 1/60*y**4 + 0*y**2. Suppose z(x) = 0. What is x?
-1, 0, 1
Let h(m) be the second derivative of m**7/1050 - m**5/300 - 3*m**2/2 + 2*m. Let d(y) be the first derivative of h(y). Factor d(i).
i**2*(i - 1)*(i + 1)/5
Let q(r) be the first derivative of -7/5*r**5 - 2/3*r**3 + 0*r - 9/4*r**4 + 5 + 0*r**2. Find y such that q(y) = 0.
-1, -2/7, 0
Factor 2/7*s - 2/7*s**2 + 0.
-2*s*(s - 1)/7
Let o be (-66)/(-5) + 27/9. Let w = o - 16. Factor 0 + w*j**2 + 2/5*j.
j*(j + 2)/5
Let q be 2/5 + (-86)/(-10). Suppose 0 + q = 3*g. Factor 3*w**5 - w**3 + 0*w**3 + 2*w**g - 4*w**4.
w**3*(w - 1)*(3*w - 1)
Suppose -2*a + 2*b + 16 = 0, 2*a + b + 12 = 4*a. Let q + 0*q**2 - q**3 - 1/2*q**a + 1/2 = 0. Calculate q.
-1, 1
Let 1/6*g**2 + 0*g**3 + 0*g - 1/6*g**4 + 0 = 0. What is g?
-1, 0, 1
Let p(f) be the third derivative of 9*f**2 + 0*f - 1/360*f**6 + 0 + 0*f**5 + 0*f**3 + 0*f**4. Factor p(q).
-q**3/3
Let s be 3 - (-23)/(-7) - (-68)/42. Let -2/3*k**2 + s*k + 0 = 0. Calculate k.
0, 2
Let t be (48/(-18) + 2)/(4/(-30)). Let u(a) be the second derivative of 0*a**2 + 0 - 1/6*a**4 - 4*a + 0*a**3 + 1/10*a**t. Factor u(l).
2*l**2*(l - 1)
Let j(b) = -b**2 - 2*b - 2. Let h(z) = -1. Let l(k) = -5*h(k) + j(k). Solve l(i) = 0.
-3, 1
Let k(r) be the third derivative of r**6/900 - r**5/300 + r**3/2 + 2*r**2. Let t(w) be the first derivative of k(w). Find h, given that t(h) = 0.
0, 1
Suppose 4*x - 40 = -x. Let s(i) = 2*i - 2. Let l be s(3). Factor x*r**4 + 0*r**3 - 6*r**4 - 2 - 4*r**3 + l*r.
2*(r - 1)**3*(r + 1)
Suppose -g + 1 + 2 = 0. Let r = 8 - 6. Find c, given that 4*c**r - g*c**4 + 3*c**3 + 5*c**3 - 10*c**5 + c**5 = 0.
-2/3, 0, 1
Let d(p) be the second derivative of -p**8/1680 - p**7/840 + 2*p**3/3 - 3*p. Let z(o) be the second derivative of d(o). Let z(a) = 0. What is a?
-1, 0
Let b be -2 + (-3)/1 + 15. Let i(u) = u**3 - 11*u**2 + 9*u + 12. Let m be i(b). What is n in -2*n**2 - 2*n**4 + 3 - 11 - n + 8*n**m - 4*n**3 + 9*n = 0?
-2, 1
Let w be 1 - (1 + -6 + 4). Let y(k) be the third derivative of -1/3*k**3 + 1/30*k**5 + w*k**2 + 0*k + 1/60*k**6 - 1/12*k**4 + 0. What is i in y(i) = 0?
-1, 1
Let -2/9*q**4 + 0 + 8/9*q**2 + 2/9*q**3 - 8/9*q = 0. Calculate q.
-2, 0, 1, 2
Let r(k) = -k**2 + 16*k - 17. Let d be r(10). Let a = d - 43. Factor 1/2*q**3 + a + q**2 + 1/2*q.
q*(q + 1)**2/2
Let u(h) be the second derivative of -h**6/60 - h**5/20 - h**4/24 + 10*h. Factor u(k).
-k**2*(k + 1)**2/2
Let m be ((-12)/216)/(1/(-4)). Factor 0 - m*x**2 + 2/9*x.
-2*x*(x - 1)/9
Let m = 6 + -4. Let c(s) = s + 13. Let x be c(-9). Determine b so that x*b**2 + 0*b**3 - m*b**3 - 4*b**2 = 0.
0
Let a(g) be the second derivative of -14641*g**6/150 - 2662*g**5/25 - 242*g**4/5 - 176*g**3/15 - 8*g**2/5 + 7*g. Find z, given that a(z) = 0.
-2/11
Let w(l) be the second derivative of 0 - 1/72*l**4 + 1/360*l**6 + 0*l**3 - 2*l + l**2 + 0*l**5. Let s(o) be the first derivative of w(o). Factor s(q).
q*(q - 1)*(q + 1)/3
Suppose -2*u + 25 = 3*u - 5*s, -5*s - 7 = 4*u. Suppose u*d - 10 = -3*d. Suppose 0 + 0*n**3 + 2*n - n**3 + 0 - n**d = 0. Calculate n.
-2, 0, 1
Let s(q) be the second derivative of -q**4/28 - q**3/14 + 3*q**2/7 - 3*q + 4. Factor s(p).
-3*(p - 1)*(p + 2)/7
Factor 0 + 0*s - 2/11*s**2.
-2*s**2/11
Suppose 10 = 3*z - n, 3*n = 3*z + 4*n - 2. Determine u, given that 0*u + 1 - 1/4*u**z = 0.
-2, 2
Suppose 42 - 12 = -3*u. Let s be (-6)/u - 9/15. Let s*y**2 + 0 - 1/2*y**4 + 1/2*y**3 + 0*y = 0. What is y?
0, 1
Let v(c) = 2*c - 10. Let j be v(7). Let z(x) = -j + 9*x**2 + 4 - 9*x + 12*x**2. Let p(l) = 4*l**2 - 2*l. Let w(t) = -11*p(t) + 2*z(t). Let w(n) = 0. What is n?
0, 2
Let s(w) be the third derivative of w**8/28 + 2*w**7/525 - 2*w**6/25 - 4*w**5/75 + 2*w**2 - 4. Let s(f) = 0. What is f?
-2/3, -2/5, 0, 1
Let y(d) be the second derivative of -1/10*d**5 + 0*d**2 - 3*d + 0*d**3 + 0 - 1/6*d**4. Find a such that y(a) = 0.
-1, 0
Let u = 345 + -643/2. Let n = -23 + u. Factor -n - 1/4*w + 1/4*w**2.
(w - 2)*(w + 1)/4
Suppose -2*o - h + 11 = 0, -o + 3*h + 6 - 11 = 0. Suppose w - o*w + 20 = -2*q, -16 = 4*q. Factor 23 + w*t + 6*t**2 + 2*t**3 - 23.
2*t*(t + 1)*(t + 2)
Suppose 0 = -2*p + 6*p. Let b be p - 0 - (-16)/40. Solve b*o**2 + 0*o + 0 + 2/5*o**3 = 0.
-1, 0
Let l(z) be the second derivative of z**6/180 + z**5/45 + z**4/36 + 5*z**2/2 + 3*z. Let c(b) be the first derivative of l(b). Solve c(g) = 0.
-1, 0
Let h(g) be the third derivative of -g**9/37800 + g**8/8400 - g**7/6300 - g**4/6 + g**2. Let v(z) be the second derivative of h(z). Factor v(t).
-2*t**2*(t - 1)**2/5
Factor -10/23*h**2 - 2/23*h**4 + 0 - 8/23*h**3 - 4/23*h.
-2*h*(h + 1)**2*(h + 2)/23
Let b be ((-6)/4 + -3)*-6. Let p be (3/5)/(b/10). Let p*r**2 + 2/9 + 4/9*r = 0. Calculate r.
-1
Let t(y) be the second derivative of y**4/66 + 7*y**3/33 + 42*y - 1. Factor t(v).
2*v*(v + 7)/11
Let h = 305 + -305. Find w, given that -2/5*w**2 + h + 2/5*w = 0.
0, 1
Let g = 171 - 503/3. Solve -8/3*i**2 - g*i - 2/3 = 0.
-1, -1/4
Let o = 31/33 + -3/11. Factor -o*m**3 + 2/3*m + 0 + 0*m**2.
-2*m*(m - 1)*(m + 1)/3
Let x(b) be the second derivative of b**8/2520 + b**3/3 + 4*b. Let p(w) be the second derivative of x(w). Factor p(i).
2*i**4/3
Let v(r) = -r**2 + 9*r - 5. Let h be v(6). Factor 12*k**3 - h*k**3 + 0*k - 3*k - 3*k**2 - 1.
-(k + 1)**3
Let b(y) be the first derivative of 6 - 2/3*y**3 - 3*y**2 - 4*y. Solve b(i) = 0 for i.
-2, -1
Let b(m) be the third derivative of -m**6/540 + m**4/108 - 17*m**2. What