(u) = 0.
0
Let z(w) = 3*w**4 + 3*w**3 + 3*w**2 + 9*w + 6. Let o(q) = -q**3 - q**2 - q - 1. Let p(y) = 6*o(y) + z(y). Let p(a) = 0. What is a?
-1, 0, 1
Let g be ((-184)/5)/(11214/(-140)). Let p = -4/267 + g. Determine s, given that -10/9*s**3 + 0 + 0*s + p*s**2 + 2/3*s**4 = 0.
0, 2/3, 1
Let y = 186 + -371/2. Suppose 5*g**3 + 17/4*g**2 - y - 5/4*g = 0. Calculate g.
-1, -1/4, 2/5
Factor 2/7 + 2/7*m**2 - 4/7*m.
2*(m - 1)**2/7
Let u(r) be the first derivative of r**7/210 - r**6/45 - r**5/30 + r**4/3 - 5*r**3/3 + 5. Let b(x) be the third derivative of u(x). Find t such that b(t) = 0.
-1, 1, 2
Suppose 0 = 8*j - 34 + 2. Let i(r) be the first derivative of j*r**2 - 8/3*r**3 - 2 + 0*r + 1/2*r**4. Let i(y) = 0. Calculate y.
0, 2
Let t(u) be the second derivative of -u**4/36 - u**3/9 + u**2/2 - 8*u. Determine n, given that t(n) = 0.
-3, 1
Factor 105*p + 5*p**4 - p**4 - 5*p**2 - 9*p**4 - 25*p**3 + 90 + 0*p**2.
-5*(p - 2)*(p + 1)*(p + 3)**2
Let z(g) = -4*g**5 - g**4 + g**3 - 2*g**2. Let h(w) = w**5 + w**2. Let q(b) = 3*h(b) + z(b). Find x, given that q(x) = 0.
-1, 0, 1
Suppose -2*u + 14 = 5*u. Factor 0*d + 0*d**u - 2/9*d**3 + 0.
-2*d**3/9
Let c = 12/23 + -1/46. Factor -c*d**3 - 1/2*d**2 + 1/2 + 1/2*d.
-(d - 1)*(d + 1)**2/2
Let n(k) be the third derivative of 0*k**3 + 13/420*k**6 + 1/21*k**4 + 0*k + 1/1176*k**8 - 2/245*k**7 + k**2 - 2/35*k**5 + 0. Suppose n(h) = 0. What is h?
0, 1, 2
Suppose -w - 3*z = -8*z - 26, -4*w - 16 = 4*z. Let q be 10/175*(w - -4). Factor 6/7*j**2 + 0 - q*j**3 - 4/7*j.
-2*j*(j - 2)*(j - 1)/7
Let t(d) = 7*d - 31. Let g be t(5). Factor 1/4*w**g - 1/2*w - 1/4 + 1/2*w**3 + 0*w**2.
(w - 1)*(w + 1)**3/4
Factor 2/5*a - 2/5*a**3 + 2/5*a**2 - 2/5.
-2*(a - 1)**2*(a + 1)/5
Let h = -113/9 - -116/9. Let j be 1 + (2/3 - 0). Determine m, given that 2/3 - j*m - h*m**3 + 4/3*m**2 = 0.
1, 2
Let a(n) be the third derivative of -n**8/16800 + n**7/3150 - n**6/1800 - n**5/60 + 6*n**2. Let p(h) be the third derivative of a(h). Solve p(j) = 0 for j.
1/3, 1
Suppose -16*m + 15 = 15. Suppose m*x**4 + 1/4*x**3 + 0*x**2 + 0 - 1/4*x**5 + 0*x = 0. What is x?
-1, 0, 1
Let r(k) be the third derivative of 0*k - 1/42*k**4 + 0 + 0*k**3 + 1/210*k**5 - k**2. Suppose r(v) = 0. What is v?
0, 2
Let z(u) be the second derivative of -1/45*u**6 + 0*u**3 + 0 + 0*u**4 + 3*u + 0*u**2 - 1/30*u**5. Suppose z(k) = 0. Calculate k.
-1, 0
Let i = -30 + 32. Suppose -1/3*c + 1/3*c**4 - 1/3*c**i + 1/3*c**3 + 0 = 0. Calculate c.
-1, 0, 1
Let w = -2/105 + 113/420. Factor -1/4*x**2 + 0 + 0*x - w*x**4 + 1/2*x**3.
-x**2*(x - 1)**2/4
Let y(n) be the third derivative of n**8/112 - n**7/70 - n**6/20 + n**5/10 + n**4/8 - n**3/2 - 4*n**2. Let y(j) = 0. Calculate j.
-1, 1
Let b be (1243/(-550))/((-42)/5). Let w = -2/105 + b. Factor 1/4 - w*a**2 + 0*a.
-(a - 1)*(a + 1)/4
Suppose 20*z = 18*z + 4. Find y, given that 4/5*y**z + 0 + 0*y - 2*y**3 = 0.
0, 2/5
Factor -18 - 8*q - 2*q**2 + 22*q - 2*q.
-2*(q - 3)**2
Solve 33*l**3 - 8 + 18*l - 3*l**2 + 12*l**4 - 49*l**3 - 2*l**5 - l**2 = 0.
-1, 1, 4
Let x(d) be the first derivative of -d**6/30 + d**5/30 + d**4/36 - 6*d - 5. Let s(v) be the first derivative of x(v). Factor s(q).
-q**2*(q - 1)*(3*q + 1)/3
Let g = 52/81 + 2/81. Solve 1/3*s**2 - g - 1/3*s = 0 for s.
-1, 2
Let r = 164 + -160. Let d(x) be the second derivative of -1/35*x**6 - 1/147*x**7 + 0 + 0*x**2 - 1/42*x**r - 2*x - 3/70*x**5 + 0*x**3. Let d(z) = 0. Calculate z.
-1, 0
Let k(z) be the first derivative of z**3/9 - 7*z**2/3 + 49*z/3 + 36. Find l, given that k(l) = 0.
7
Let j(l) be the first derivative of -4*l**3/3 + 8*l**2 - 12*l - 11. Find w, given that j(w) = 0.
1, 3
Let i be 77/(-196)*-4 - 6/21. What is b in -6/7*b**3 + i*b**4 - 3/7*b**5 - 6/7*b**2 - 3/7 + 9/7*b = 0?
-1, 1
Let q be (-222)/(-30) - (2 + 5). Factor -8/5*d + q + 12/5*d**2 - 8/5*d**3 + 2/5*d**4.
2*(d - 1)**4/5
Let v(i) be the first derivative of 0*i + 3 + 2/25*i**5 - 2/15*i**3 - 1/30*i**6 + 0*i**4 + 1/10*i**2. Factor v(g).
-g*(g - 1)**3*(g + 1)/5
Let f(i) be the third derivative of i**7/280 + i**6/120 - i**5/40 - i**4/8 + 7*i**3/6 - 7*i**2. Let v(m) be the first derivative of f(m). Factor v(a).
3*(a - 1)*(a + 1)**2
Determine y so that 8/15*y**3 + 0 + 4/15*y - 2/15*y**4 - 2/3*y**2 = 0.
0, 1, 2
Suppose 0 = n - 5, f - 3*n + 183 = -3*f. Let v be 1*(f/(-10) - 3). Solve -2/5*c**2 - 4/5 - v*c = 0.
-2, -1
Factor -3*t + 9/5 + 3/5*t**3 + 3/5*t**2.
3*(t - 1)**2*(t + 3)/5
Let g(z) be the second derivative of -7*z**6/15 + z**5/2 + z**4/3 + z. Factor g(k).
-2*k**2*(k - 1)*(7*k + 2)
Let x(p) be the first derivative of -p**5/4 + 7*p**4/12 - p**3/3 + 2*p + 2. Let o(k) be the first derivative of x(k). Suppose o(z) = 0. Calculate z.
0, 2/5, 1
Factor -1/7*r - 1/7*r**2 + 1/7*r**3 + 1/7.
(r - 1)**2*(r + 1)/7
Let m(k) be the second derivative of -1/8*k**4 + 1/40*k**5 + 1/24*k**3 + 1/24*k**6 + 0 + 1/8*k**2 + 4*k - 1/56*k**7. Determine y so that m(y) = 0.
-1, -1/3, 1
Let u(v) be the first derivative of 4*v**3/3 - 6*v**2 - 16*v + 19. Determine m, given that u(m) = 0.
-1, 4
Let k = 0 + 0. Let v(g) be the third derivative of g**2 + 0*g**6 + k - 1/840*g**7 + 0*g**3 + 1/336*g**8 + 0*g + 0*g**5 + 0*g**4. Factor v(w).
w**4*(4*w - 1)/4
Let g be (-3)/(-4)*1/3. Let q = 11 - 9. Suppose g*l**q + 0*l - 1/4 = 0. What is l?
-1, 1
Let l(c) = c**3 + 3*c**2 + 3*c + 1. Let n be l(-1). Factor -3/5*y - 6/5*y**2 + 6/5*y**4 + 0 + 3/5*y**5 + n*y**3.
3*y*(y - 1)*(y + 1)**3/5
Let k = 4 - 2. Suppose k*f = -3 + 11. Solve c**3 - c**f - c**3 + c**2 = 0 for c.
-1, 0, 1
Let x(g) = 7*g**2 + 2*g - 9. Let j = 2 + 3. Let d(y) = -4*y**2 - y + 5. Let t(b) = j*d(b) + 3*x(b). Factor t(l).
(l - 1)*(l + 2)
Let h(s) be the second derivative of 0 - 1/60*s**5 + 0*s**2 - 1/18*s**3 + s + 1/18*s**4. Find k such that h(k) = 0.
0, 1
Let w be 6 + -6 - (-1 - 4). Suppose l - w = -0*l. Find i such that -9/4*i**3 - 1/2*i**l + 7/4*i**4 + 0 + 5/4*i**2 - 1/4*i = 0.
0, 1/2, 1
Let q(w) be the third derivative of -2*w**2 + 1/3*w**3 + 0*w + 0 + 1/24*w**4 - 1/60*w**5. Determine k, given that q(k) = 0.
-1, 2
Factor -3*t + t**2 - 3*t**2 - t**2.
-3*t*(t + 1)
Suppose 0 = -3*z - q + 6 + 4, 2*z + 4*q - 20 = 0. Let o(m) be the first derivative of 0*m + 0*m**2 - 1/5*m**5 + 1/3*m**3 + 0*m**4 + z. Factor o(l).
-l**2*(l - 1)*(l + 1)
Suppose -3*l - 20 + 1 = 4*d, -3*d = -2*l - 24. Let v be 2/6 - 15/l. Suppose 4*s**2 - 6*s**2 + 3*s**v + 0*s**2 = 0. What is s?
0
Let a(z) = -z**3 - 7*z**2 - 15*z - 184. Let h be a(-8). Factor -4/17*f + h*f**2 + 2/17*f**4 - 2/17 + 4/17*f**3.
2*(f - 1)*(f + 1)**3/17
Factor -7/6*a - 2/3*a**2 - 1/2.
-(a + 1)*(4*a + 3)/6
Let r(g) be the first derivative of -g**4/12 + 11*g**3/9 - 35*g**2/6 + 25*g/3 - 9. Let r(k) = 0. What is k?
1, 5
Let r(p) be the second derivative of -2*p**7/63 - 8*p**6/45 - p**5/3 - 2*p**4/9 + 17*p. Suppose r(y) = 0. What is y?
-2, -1, 0
Factor 3 + 4*p**2 - 1 + 4 + 16*p + 6.
4*(p + 1)*(p + 3)
Let b = -259 + 1299/5. Factor 0*u - b*u**2 + 0 - 2/5*u**3.
-2*u**2*(u + 2)/5
Let i(w) be the second derivative of 0*w**3 + 1/20*w**5 - 1/8*w**4 + 5*w + 1/4*w**2 + 0. Solve i(u) = 0.
-1/2, 1
Let l = 847/321 - -3/107. Factor 2*d**2 - 8/3*d - l.
2*(d - 2)*(3*d + 2)/3
Factor x**3 - 9/4*x**2 - 1/4 + 3/2*x.
(x - 1)**2*(4*x - 1)/4
Factor 32 - 20 - 10*i**3 + 5*i + 5*i**5 - 12.
5*i*(i - 1)**2*(i + 1)**2
Let l(f) be the first derivative of -5/7*f**2 + 8/35*f**5 + 2 - 2/7*f**3 + 5/14*f**4 - 2/7*f. Let l(t) = 0. What is t?
-1, -1/4, 1
Let k = 0 - 0. Let r = -2 - -4. Factor r*v**3 - 2*v + k*v + 0*v**3.
2*v*(v - 1)*(v + 1)
Let n be 7/(-14) + (-7)/2. Let q = -2 - n. Factor -6 + 9*s + 6*s**2 - 5*s**q - 4*s**2.
-3*(s - 2)*(s - 1)
Suppose 0 = 12*w - 44 - 28. Let a(k) be the first derivative of -5*k**3 + 2 - w*k + 21/2*k**2. Solve a(s) = 0.
2/5, 1
Let r(z) = -11*z**3 + 2*z**2 - 11*z. Let u(m) be the third derivative of -7*m**6/120 + m**5/60 - 7*m**4/24 - m**2. Let n(y) = -5*r(y) + 8*u(y). Factor n(i).
-i*(i + 1)**2
Let f be (-8 + 0)*5/(-8 + -2). Factor -1/4*z + 1/4*z**3 + 0 - 1/2*z**f + 1/2*z**2.
-z*(z - 1)*(z + 1)*(2*z - 1)/4
Let z(w) be the third derivative of 0 + w**2 + 0*w - 1/60*w**5 - 1/24*w**4 + 1/120*w**6 + 0*w**3 + 1/210*w**7. Factor z(c).
c*(c - 1)*(c + 1)**2
Let q(s) = 2*s - 4. Let g be q(8). Factor -1 + 4*r**4 + 6*r**3 - 2*r**4 - 8*r + 3 - 14*r**3 + g*r**2.
2*(r - 1)**4
Let f(b) be the second derivative of