?
0, 1
Let d be ((6 + -3)/3)/(0 + 3). Let o(y) be the first derivative of 2 + 1/30*y**5 - 1/6*y**3 - 1/24*y**4 + d*y + 1/12*y**2. Factor o(f).
(f - 2)*(f - 1)*(f + 1)**2/6
Suppose -5 = 3*i - 14. Suppose 2*o**3 + 0*o**i - o**2 - 3*o**3 = 0. Calculate o.
-1, 0
Let d(m) be the second derivative of m**9/83160 + m**8/36960 - m**7/6930 + m**4/6 + 3*m. Let h(b) be the third derivative of d(b). Factor h(p).
2*p**2*(p - 1)*(p + 2)/11
Factor -2*j**2 + 32*j + 2*j + 45*j**4 + 187*j**2 + 41*j + 10 + 165*j**3.
5*(j + 1)*(j + 2)*(3*j + 1)**2
Let g(w) be the first derivative of 3*w**5/5 - 9*w**4/4 + w**3 + 9*w**2/2 - 6*w + 22. Factor g(j).
3*(j - 2)*(j - 1)**2*(j + 1)
Let p be 2/4 - 1/(-2). Factor m + 19*m - 50*m**2 - 1 - p.
-2*(5*m - 1)**2
Let j(x) = -3*x**2 - 2*x - 2. Let k(r) = -r + 1. Let h be k(-3). Let s(y) = -y**2 + y + 1. Let w(m) = h*s(m) - 2*j(m). Factor w(f).
2*(f + 2)**2
Let h(y) = y**2 + 2*y + 3. Let t = 6 + -3. Let u(o) = o + 1. Let s(k) = t*u(k) - h(k). Find v such that s(v) = 0.
0, 1
Let o(h) be the second derivative of 3*h**5/80 - h**4/16 - h**3/8 + 3*h**2/8 + 3*h. Solve o(m) = 0 for m.
-1, 1
Let n = 797/7 - 113. Suppose 4/7*j**3 + 2/7 + 2/7*j**5 - n*j**4 + 4/7*j**2 - 6/7*j = 0. Calculate j.
-1, 1
Let n(a) be the third derivative of -a**5/105 + 11*a**4/168 + a**3/14 + 14*a**2. Determine k so that n(k) = 0.
-1/4, 3
Let a = 33281/80 - 416. Let x(s) be the second derivative of 1/168*s**7 - a*s**5 + 0 - 1/48*s**4 - 2*s + 0*s**3 + 0*s**2 + 1/120*s**6. Let x(t) = 0. What is t?
-1, 0, 1
Let z(w) = -w + 5. Let d be z(0). Let g(o) be the first derivative of 1/5*o + 0*o**3 - 1/5*o**2 + 3 + 1/10*o**4 - 1/25*o**d. Factor g(t).
-(t - 1)**3*(t + 1)/5
Let u = -13 - -118/9. Let d(r) be the first derivative of 0*r - 1/12*r**4 + 0*r**2 + 1 + 1/18*r**6 - 1/15*r**5 + u*r**3. Determine n, given that d(n) = 0.
-1, 0, 1
Factor 1 - 18 + 1 + 4*i**3 + 0 + 12*i**2.
4*(i - 1)*(i + 2)**2
Let k be 2 + 4/10 + 494/(-285). Solve 0*o**2 - k + 4/3*o**3 + 2/3*o**4 - 4/3*o = 0 for o.
-1, 1
Let r(x) be the third derivative of x**6/1080 - x**4/72 - 5*x**3/6 - 3*x**2. Let t(s) be the first derivative of r(s). Factor t(c).
(c - 1)*(c + 1)/3
Let k = 0 - -2. Let z(x) be the second derivative of -x**2 - k*x + 2/3*x**3 - 1/6*x**4 + 0. Find h, given that z(h) = 0.
1
Let f = -3 + 5. Let d(v) = 2*v**3 - 4*v**2 + 3*v - 2. Let o be d(f). Find u, given that -2*u**5 + u**4 + 2*u**4 + 2*u**2 - 5*u**o + 2*u**3 = 0.
-1, 0, 1
Let f(b) be the first derivative of -b**8/8400 - 2*b**3/3 - 3. Let l(c) be the third derivative of f(c). Suppose l(y) = 0. Calculate y.
0
Let a(n) be the first derivative of 0*n**2 + 0*n**3 - 1/6*n**4 - 1/9*n**6 - 2 + 0*n + 4/15*n**5. Factor a(g).
-2*g**3*(g - 1)**2/3
Let m(w) be the second derivative of w**7/1260 - w**6/180 + w**5/60 + w**4/12 + 2*w. Let n(o) be the third derivative of m(o). Find r, given that n(r) = 0.
1
Suppose 2*r - 5 = r - s, -5*s + 15 = 0. Let 1/3*q**r - 1/3*q - 2/3 = 0. Calculate q.
-1, 2
Let y = 4/139 + 127/417. Factor -1/3*d**4 + y*d**2 - 1/3*d + 1/3*d**3 + 0.
-d*(d - 1)**2*(d + 1)/3
Let a(i) be the third derivative of -i**7/70 + i**6/40 + i**5/20 - i**4/8 - 5*i**2. Factor a(c).
-3*c*(c - 1)**2*(c + 1)
Let r(x) be the second derivative of -x**6/105 + x**5/70 + 5*x**4/42 + x**3/7 + 10*x. Suppose r(u) = 0. Calculate u.
-1, 0, 3
Let n(v) be the second derivative of -1/35*v**5 + 1/21*v**3 + 3*v + 1/147*v**7 - 1/7*v**2 + 1/21*v**4 - 1/105*v**6 + 0. Factor n(s).
2*(s - 1)**3*(s + 1)**2/7
Let v = 7 + -7. Factor 1 + v + d**2 - 3*d**3 + 2*d - 2*d**4 + 0*d**3 + d.
-(d - 1)*(d + 1)**2*(2*d + 1)
Let y be 6 + (1 - 3)/(-1). Factor 16*m - y*m**3 + 4*m**2 + 4*m**2 + 2*m**2 - 12 - 6*m**2.
-4*(m - 1)**2*(2*m + 3)
What is d in -2/21*d**3 + 0*d + 0 - 2/7*d**2 = 0?
-3, 0
Let a(f) = -2*f - 5. Let b be a(-5). Solve -2*p**4 + 9 - p**5 + 7*p**3 - 6*p**b + 2*p**2 - 9 = 0 for p.
-1, -2/7, 0, 1
Let f(r) = -2*r**4 + 4*r**3 + 4*r**2 - 6*r. Let b(d) = 0*d**3 + 12*d**2 - 3*d**4 - 17*d + 11*d**3 - 3*d**4. Let o(m) = -6*b(m) + 17*f(m). Solve o(z) = 0 for z.
-2, 0, 1
Let c(q) = 8*q**3 - 36*q**2 + 56*q - 24. Let s(f) = -23*f**3 + 108*f**2 - 169*f + 73. Let k(m) = 11*c(m) + 4*s(m). Factor k(b).
-4*(b - 7)*(b - 1)**2
Factor 11*j + 1/3*j**5 - 46/3*j**2 - 3 - 3*j**4 + 10*j**3.
(j - 3)**2*(j - 1)**3/3
Factor 1/2 + z - 3/2*z**2.
-(z - 1)*(3*z + 1)/2
Let o be 8 - (184/32 + 2). Factor o*h - 1/4*h**2 + 0.
-h*(h - 1)/4
Determine d, given that 110 - 110 + 3*d**2 - 2*d - d**3 = 0.
0, 1, 2
Factor 0 + 0*u - 1/2*u**4 + u**3 + 0*u**2.
-u**3*(u - 2)/2
Let f(h) = 12*h. Let n be f(-5). Let c = -274/5 - n. What is x in 4/5*x + c*x**3 + 18/5*x**2 + 0 + 12/5*x**4 = 0?
-1, -2/3, -1/2, 0
Let i(g) be the third derivative of -g**5/72 + 25*g**4/144 + 5*g**3/6 - 5*g**2. Factor i(a).
-5*(a - 6)*(a + 1)/6
Let y be 299/(-60) + 15 + -10. Let z(h) be the second derivative of 0*h**2 - y*h**5 + 0 + h - 1/18*h**4 + 0*h**3. Find v, given that z(v) = 0.
-2, 0
Let o be ((-3)/2)/(2/8). Let g = -4 - o. Factor b**2 + 2*b - g + 0 + 3.
(b + 1)**2
Suppose -5*y + 0*k - k = -8, 4*k + 12 = 2*y. Suppose -y*v + 3*v = 0. Factor v - 1/3*o - 2*o**3 - 1/3*o**5 + 4/3*o**4 + 4/3*o**2.
-o*(o - 1)**4/3
Let d(g) be the second derivative of -g**8/1260 - g**7/840 + g**6/120 - g**5/180 + 2*g**3/3 - 2*g. Let o(x) be the second derivative of d(x). Factor o(a).
-a*(a - 1)*(a + 2)*(4*a - 1)/3
Find y such that -6*y**5 - 32*y + 80*y**2 - 12*y**4 - 5*y**3 + 40*y**4 + 2*y**5 - 67*y**3 = 0.
0, 1, 2
Let c(q) be the second derivative of -q**4/18 + q**2/3 + 7*q. Factor c(h).
-2*(h - 1)*(h + 1)/3
Suppose 8*o = o + 21. Solve 0 + 0*y + 2/5*y**4 - 2/5*y**2 + 0*y**o = 0 for y.
-1, 0, 1
Let m be ((-1)/4)/((-3)/36). Suppose 0*i - m*i = 0. Factor 2/3*d**2 + i + 4/3*d.
2*d*(d + 2)/3
Determine s so that -5/4 + 11/8*s - 1/8*s**2 = 0.
1, 10
Factor -2/3*y**3 + 0*y**4 + 1/2*y + 1/6*y**5 + 1/3 - 1/3*y**2.
(y - 2)*(y - 1)*(y + 1)**3/6
Let j(q) be the first derivative of 2*q**3 - q**2/4 - q/2 - 8. Solve j(z) = 0 for z.
-1/4, 1/3
Factor 0*s - s - s + s**2.
s*(s - 2)
Let c(k) be the third derivative of k**7/1050 + k**6/300 + k**5/300 - 2*k**2. Factor c(p).
p**2*(p + 1)**2/5
Let a(d) be the second derivative of -1/5*d**2 - 1/25*d**5 + 1/75*d**6 + 0*d**4 + 0 + 2/15*d**3 + 4*d. Factor a(o).
2*(o - 1)**3*(o + 1)/5
Let v(u) be the first derivative of 4*u**5/5 + u**4 + 32. Solve v(d) = 0 for d.
-1, 0
Let z(q) be the second derivative of 35*q**4/12 - 65*q**3/3 - 20*q**2 - 2*q. Factor z(i).
5*(i - 4)*(7*i + 2)
Suppose 5*f - f - 28 = 0. Suppose f*l**2 - 49/4*l**3 - l + 0 = 0. What is l?
0, 2/7
Let v(p) be the first derivative of 0*p - p**6 + 3/4*p**4 + 3/2*p**2 + 2 - 9/5*p**5 + 3*p**3. Find h, given that v(h) = 0.
-1, -1/2, 0, 1
What is z in 2/9*z**3 + 0 + 0*z + 2/9*z**2 = 0?
-1, 0
Factor 5/7*m**2 + 4/7 + 1/7*m**3 + 8/7*m.
(m + 1)*(m + 2)**2/7
Suppose 0 = 4*f + f - 3*z - 52, 0 = -2*f - 5*z + 27. Let p = f - 11. Find m, given that p - 3/2*m**2 + m + 15/2*m**4 - 7*m**3 = 0.
-2/5, 0, 1/3, 1
Let m be 2/(-8)*160/(-60). Let i be 0 - (0 + 2 + -5). Factor -2/3 + 2/3*f**i + 2/3*f**2 - m*f.
2*(f - 1)*(f + 1)**2/3
Suppose 4*p + 3*z - 23 = 0, 3*z = -p - 1 - 0. Let m be 1 + 1*(-12)/(-4). Factor 0*f - 2*f**2 + 4*f + 2 - p*f**3 + m*f.
-2*(f - 1)*(f + 1)*(4*f + 1)
Determine l so that 2/7*l**3 - 2/7*l**2 - 2/7*l**5 + 0 + 2/7*l**4 + 0*l = 0.
-1, 0, 1
Suppose -5*g + 15 + 15 = 0. Find i such that -2*i**3 + 4*i + 6*i + 0*i**2 - 2*i**2 - g = 0.
-3, 1
Factor 4*z + 44/5*z**2 + 4/5*z**4 + 0 + 28/5*z**3.
4*z*(z + 1)**2*(z + 5)/5
Let q(u) = -u**4 + u**3 + u + 1. Let n(y) = -9*y**4 + 3*y**3 + 9*y**2 + 9*y. Let t(a) = -n(a) + 6*q(a). Suppose t(d) = 0. What is d?
-2, -1, 1
Let p be (-4 - (-265)/70)/(6/(-32)). Factor 8/7*y + 2/7*y**2 + p.
2*(y + 2)**2/7
Let p = 363/5 + -73. Let t = p + 9/10. Find l such that 1/2*l**2 - 1/2 + t*l**3 - 1/2*l = 0.
-1, 1
Let c(w) be the first derivative of w**4/7 - w**3/3 + 2*w**2/7 - 3*w + 1. Let x(f) be the first derivative of c(f). Determine v, given that x(v) = 0.
1/2, 2/3
Let i(b) = -b**3 - 5*b**2 + 4*b + 5. Let k(f) = -f**2 + f + 1. Let u(z) = -i(z) + 3*k(z). Let u(j) = 0. Calculate j.
-2, -1, 1
Let f(d) = -10*d**2 - 10*d + 5. Let g(w) = -11*w**2 - 9*w + 6. Let a(j) = -6*f(j) + 5*g(j). Factor a(o).
5*o*(o + 3)
Suppose 2*m = -2*t - 8, 0*t - m - 4 = -3*t. Let y(j) be the first 