0. What is n?
0, 2
Let b = -12/7 - -43/21. Let v be (-1 - (-28)/12) + 0 + -1. Factor 1/3*p**3 - v*p + b*p**2 - 1/3.
(p - 1)*(p + 1)**2/3
Let y(s) = 14*s + 5. Let a be y(4). Let d = -304/5 + a. Factor -12/5*l**2 - d - 7/5*l.
-(3*l + 1)*(4*l + 1)/5
Let 0 - 1/3*g - 2*g**3 - 1/3*g**5 - 4/3*g**4 - 4/3*g**2 = 0. What is g?
-1, 0
Suppose -k + 6 = 2. Factor a**2 - 5*a + 7*a**3 + 3*a - 5*a**3 - a**k.
-a*(a - 2)*(a - 1)*(a + 1)
Factor 2*w**4 + 2*w**2 - 4*w**4 - 4*w**4 + 4*w**4 + w**5 - w.
w*(w - 1)**3*(w + 1)
Let t(r) be the first derivative of 14*r**5/5 + 5*r**4/2 - 6*r**3 - 5*r**2 + 4*r - 7. Determine g so that t(g) = 0.
-1, 2/7, 1
Let v(r) = r**2 + 5*r - 7. Let p be v(-6). Let s be (4/p)/((-1)/1). Factor -3*o**3 + 3*o**2 - 3*o**4 - 4*o + 3*o**5 + 0*o**4 + s*o.
3*o**2*(o - 1)**2*(o + 1)
Let c be 9/(-6)*(-8)/6. Suppose -v = 5*b + 2, -2*v + 7 = -c*b + b. Factor i + 0 + 0*i**v + 3/2*i**2 - 1/2*i**4.
-i*(i - 2)*(i + 1)**2/2
Factor -1/2*w**2 + 0 - 13/8*w**4 + 0*w + 3/8*w**5 + 2*w**3.
w**2*(w - 2)**2*(3*w - 1)/8
Factor 6/5 - 9/5*n + 3/5*n**2.
3*(n - 2)*(n - 1)/5
Let c = 14 + -11. Let n be 4/(-18) - (-20)/9. Factor y - 1/4 + y**c - 3/2*y**n - 1/4*y**4.
-(y - 1)**4/4
Let k(x) be the second derivative of -x**5/4 + 5*x**4/4 - 5*x**3/2 + 5*x**2/2 + 10*x. Factor k(g).
-5*(g - 1)**3
Let d(c) = -3*c + 5*c**2 - 9 + c**2 - c**2. Let h(z) = 3*z**2 - 2*z - 5. Suppose 8 = -2*x - 0. Let g(y) = x*d(y) + 7*h(y). Factor g(b).
(b - 1)**2
Suppose 1/5*z**3 - 1/5 + 3/5*z - 3/5*z**2 = 0. What is z?
1
Factor 30*o - 12*o + 3*o**3 + 18*o**2 + 9*o.
3*o*(o + 3)**2
Let j = 1 + 1. Find l such that 2*l**3 - 7*l**5 + 0*l**3 - j*l + 3*l**3 - 9*l**4 + 4*l + 9*l**2 = 0.
-1, -2/7, 0, 1
Let b(a) be the second derivative of 0*a**3 + 0*a**2 - 1/80*a**5 - 1/24*a**4 + 4*a + 1/120*a**6 + 0. Suppose b(j) = 0. Calculate j.
-1, 0, 2
Let l(d) be the first derivative of 1/10*d**5 + 0*d + 1 - 3/8*d**4 - 1/4*d**2 + 1/2*d**3. Suppose l(p) = 0. Calculate p.
0, 1
Let p(g) be the third derivative of -g**6/1260 - g**5/105 - g**4/21 + g**3/2 - g**2. Let r(w) be the first derivative of p(w). What is y in r(y) = 0?
-2
Factor 15716*s**5 - 15717*s**5 + 4*s**2 - 6*s**3 - 2*s**3 + 5*s**4.
-s**2*(s - 2)**2*(s - 1)
Let o(g) be the third derivative of -g**5/420 + g**4/168 + g**3/21 - 5*g**2. Let o(y) = 0. What is y?
-1, 2
Let o(t) = -4*t**2 - 13*t - 4. Let i(g) = -4*g**2 - 11*g - 3. Let y(x) = -5*i(x) + 4*o(x). Let y(z) = 0. Calculate z.
-1, 1/4
Let g(o) be the first derivative of -o**6/15 + o**5/5 - 2*o**3/3 + o**2 - o + 3. Let a(y) be the first derivative of g(y). Factor a(z).
-2*(z - 1)**3*(z + 1)
Let z(a) be the first derivative of -a**7/280 - a**6/160 - 3*a**2/2 + 1. Let n(v) be the second derivative of z(v). Factor n(i).
-3*i**3*(i + 1)/4
Let g = -2/9625 - -2271506/28875. Suppose -84*d**4 + 98/3*d**5 - 40*d + 16/3 + 22/3*d**3 + g*d**2 = 0. What is d?
-1, 2/7, 1, 2
Let -15*a**2 + 15 + a + a + 10*a**2 - 12*a = 0. What is a?
-3, 1
Let f(j) = 6*j**2 - j - 1. Let c(t) = -5*t**2 + 1. Suppose 2*x + 0 + 1 = -s, -s + 5*x = -13. Let k = s + -1. Let a(h) = k*f(h) + 3*c(h). What is y in a(y) = 0?
-1, 1/3
Suppose -x = 2*x - 6. Suppose 6*n - 14*n = -24. Solve b - 3*b**2 - x*b + 2*b**2 + n*b = 0.
0, 2
Suppose d + 2/3 - 1/3*d**3 + 0*d**2 = 0. Calculate d.
-1, 2
Let u(w) = w + 4. Suppose k = -5*o - 29, 5*o + 4 + 1 = 5*k. Let v be u(k). Let v - 1/4*l - 1/4*l**4 + 1/4*l**3 + 1/4*l**2 = 0. What is l?
-1, 0, 1
Let d(w) be the second derivative of w**4/4 - w**3/6 - 3*w. Let f be d(1). Factor 0*t**2 + f*t**2 + 0*t**2.
2*t**2
Suppose -16 = -4*i - t, -4*i + 2*i + 26 = 5*t. Let s(u) be the first derivative of -1/10*u**4 + 0*u - 1 + 0*u**2 + 2/15*u**i. Find f such that s(f) = 0.
0, 1
Suppose -3 = -2*p - 7. Let z = 2 + p. Factor 2/5*m**3 - 2/5*m**2 + z + 0*m.
2*m**2*(m - 1)/5
Suppose 5*i = 8*i - 9. Let 4/9*u**i - 4/9*u**2 - 2/9 + 2/3*u**4 - 2/3*u + 2/9*u**5 = 0. What is u?
-1, 1
Let b(a) = 4*a**2 + 4*a. Let m(l) = -4*l**2 - 3*l + 1. Let z(x) = -3*b(x) - 4*m(x). Factor z(g).
4*(g - 1)*(g + 1)
Let v = -38 - -40. Factor 2/9*f - 2/9*f**3 + 0*f**v + 0.
-2*f*(f - 1)*(f + 1)/9
Solve 4*q**2 + 7*q**2 + q**4 + 2*q - 2*q**2 - 4*q**2 + 4*q**3 = 0.
-2, -1, 0
Let g(v) = v**2 - 6*v - 24. Let s be g(-3). Let s*y**3 + 0 + 0*y - 3/4*y**4 - 3*y**2 = 0. What is y?
0, 2
Let f(x) = x + 12. Let d be f(-12). Determine j, given that d*j**3 + 0*j**2 + 0 + 0*j - 1/4*j**4 = 0.
0
Solve 0*d**4 + 0*d + 1/3*d**3 + 0 - 1/3*d**5 + 0*d**2 = 0 for d.
-1, 0, 1
Let j(d) = d**2. Suppose 5*c + 0*o = -2*o - 10, o = -5*c - 5. Let h(s) = 0*s + c*s - 2*s + s. Let i(k) = -h(k) + j(k). Factor i(z).
z*(z + 1)
Let c be (-4)/10 + 20/50. Let b(z) be the third derivative of 0 + 4/3*z**3 + c*z**4 + 2*z**2 + 0*z - 1/10*z**5 + 1/60*z**6. Solve b(h) = 0.
-1, 2
Let h(c) be the third derivative of 3/8*c**4 - 3*c**2 + 0*c + 0 - 1/10*c**5 + 3/70*c**7 - 1/2*c**3 - 1/112*c**8 - 1/20*c**6. Let h(y) = 0. Calculate y.
-1, 1
Let t(c) be the second derivative of -c**4/12 - c**3/3 + 9*c. Factor t(v).
-v*(v + 2)
Let t(g) be the second derivative of g - 1/16*g**4 - 9/8*g**2 - 1/2*g**3 + 0. Factor t(f).
-3*(f + 1)*(f + 3)/4
Let z(n) be the first derivative of -n**4/30 - 4*n**3/15 - 4*n**2/5 + 2*n + 5. Let i(f) be the first derivative of z(f). Suppose i(k) = 0. Calculate k.
-2
Let l(q) be the second derivative of q**5/100 - q**4/15 + 12*q + 2. Find y such that l(y) = 0.
0, 4
Let r(d) = 15*d**2 - 20*d + 50. Let i(o) = 7*o**2 - 10*o + 25. Let b(l) = 13*i(l) - 6*r(l). Determine u so that b(u) = 0.
5
Let q(m) be the second derivative of -7*m**5/40 - 37*m**4/24 - 19*m**3/6 - 2*m**2 - 36*m. Determine u, given that q(u) = 0.
-4, -1, -2/7
Let p be 7/(-2)*40/(-70). Suppose 5 - 3 + 2*c**p + 2*c**2 - 6*c = 0. What is c?
1/2, 1
Let x(j) be the first derivative of -2*j + 1/75*j**6 - 1 + 1/50*j**5 + 0*j**2 - 1/30*j**4 - 1/15*j**3. Let p(s) be the first derivative of x(s). Factor p(d).
2*d*(d - 1)*(d + 1)**2/5
Factor -3*z**2 - 7*z + 12*z + 6 - 2*z.
-3*(z - 2)*(z + 1)
Let x(u) be the first derivative of -u**8/336 + u**7/210 + u**6/120 - u**5/60 + 3*u**2/2 + 3. Let j(m) be the second derivative of x(m). Factor j(n).
-n**2*(n - 1)**2*(n + 1)
Suppose -6 = -4*o + 18. Let c(x) = -6*x**2 + 2*x - 7. Let d(h) = -5*h**2 + 2*h - 6. Let p(g) = o*c(g) - 7*d(g). Factor p(l).
-l*(l + 2)
Let f(u) = -14*u**3 + 19*u**2 - 5*u. Let j(h) = -27*h**3 + 37*h**2 - 10*h. Let w(o) = 13*f(o) - 6*j(o). Factor w(g).
-5*g*(g - 1)*(4*g - 1)
Let q(w) be the third derivative of 1/84*w**8 + 0*w**4 + 1/70*w**7 + 0*w**5 + 0*w + 3*w**2 - 1/120*w**6 + 0*w**3 + 0. Factor q(u).
u**3*(u + 1)*(4*u - 1)
Let f(h) be the third derivative of -h**7/1260 + h**5/60 + h**4/8 - 5*h**2. Let v(b) be the second derivative of f(b). Factor v(p).
-2*(p - 1)*(p + 1)
Let -28/5 - 32/5*b - 4/5*b**2 = 0. Calculate b.
-7, -1
Let q(r) be the first derivative of 2*r**3 + 17*r**2/2 + 11*r + 2. Let b(s) = -3*s**2 - 8*s - 5. Let m(a) = 5*b(a) + 2*q(a). Factor m(n).
-3*(n + 1)**2
Let o(c) = 8*c**2 + 6*c + 12. Let r(k) = -k**2 + k + 1. Let g(t) = -o(t) - 6*r(t). Determine d, given that g(d) = 0.
-3
Suppose -1 = -m + 2. Suppose 0 = -4*n + 5 + m. Let 2*z**2 - 3*z**n + z + 0*z - 2*z = 0. What is z?
-1, 0
Let r(x) be the first derivative of -x**5/5 - 11*x**4/2 - 56*x**3 - 245*x**2 - 343*x + 15. Factor r(d).
-(d + 1)*(d + 7)**3
Suppose -10 = 2*p - 28. Let a be 21/9 + (-3)/p. Determine z, given that 0 + 2/9*z - 2/9*z**a = 0.
0, 1
Suppose -s + 1 = 2*l - 12, 0 = -2*s + 2. Let a be (-10)/(-3) - 2/l. Factor -1/2*m**2 + 1/4*m**a + 1/4*m + 0.
m*(m - 1)**2/4
Let d(t) be the first derivative of -3*t**8/56 - 11*t**7/105 - t**6/30 + t**2/2 - 2. Let r(i) be the second derivative of d(i). Factor r(v).
-2*v**3*(v + 1)*(9*v + 2)
Suppose k = 2*r - 4*r, 5 = -k - 3*r. What is s in -k*s**3 - 2*s**5 - 8*s**4 + 2*s**3 - 2*s**2 + 10*s + 4 + 6*s**2 = 0?
-2, -1, 1
Suppose 4*l - p - 7 = -4, -p = 3*l - 11. Factor 9/2 + 3*q - 3/2*q**l.
-3*(q - 3)*(q + 1)/2
Let a(w) be the first derivative of w**5/30 + w**4/6 + w**3/3 - 3*w**2/2 + 3. Let r(t) be the second derivative of a(t). Factor r(c).
2*(c + 1)**2
Let g(x) = -x**3 + 5*x**2 + 5*x + 8. Let r be g(6). Factor 0*o - 4*o - 2 + 2*o**r + 4.
2*(o - 1)**2
Suppose 92 = 5*d + 77. What is b in -2/7*b**d + 2/7*b - 2/7*b**2 + 2/7 = 0?
-1, 1
Let r(a) = 6*a**2 - 8*a + 6. Let g(b) = -b