r y**2 + y**3 + w + 1/3*y**4 + 1/3*y.
y*(y + 1)**3/3
Suppose 0 = -5*l - 4*c + 19, -c + 13 = 4*l - 0*c. Let 1/2*n**4 + 0 + n**l + 1/2*n**2 + 0*n = 0. What is n?
-1, 0
Let u(x) be the first derivative of x**3 + 3*x**2 - 10. Suppose u(v) = 0. Calculate v.
-2, 0
Let n be (1 + (-49)/22)/(366/(-488)). Factor 30/11*k**2 + 6/11*k**4 - n*k + 4/11 - 2*k**3.
2*(k - 1)**3*(3*k - 2)/11
Let b(c) = -9*c**2 - 4*c + 16. Let y(x) = -8*x**2 - 3*x + 17. Let w(k) = -3*b(k) + 4*y(k). Determine q so that w(q) = 0.
-2, 2
Let t(g) = g**2 - 4*g + 3. Let n be t(4). Let r(f) be the first derivative of 1/12*f**n - 1/4*f**2 - 2 + 1/4*f. Let r(p) = 0. Calculate p.
1
Suppose -2/7*u - 10/7*u**2 + 0 + 12/7*u**3 = 0. What is u?
-1/6, 0, 1
Let l(q) be the third derivative of -q**7/84 - q**6/8 - 13*q**5/24 - 5*q**4/4 - 5*q**3/3 + 26*q**2. Solve l(i) = 0.
-2, -1
Let -1/3*j + 1/3*j**2 + 0 = 0. Calculate j.
0, 1
Let i(y) be the second derivative of y**5/66 - y**4/44 - 2*y**3/33 + y**2 - 3*y. Let l(j) be the first derivative of i(j). Factor l(r).
2*(r - 1)*(5*r + 2)/11
Find u, given that 3/5*u**2 + 9/5*u + 6/5 = 0.
-2, -1
Let d be (-4)/(-18) - (40/(-36))/(-5). Factor 2/11*j**2 + 4/11*j - 2/11*j**3 + d.
-2*j*(j - 2)*(j + 1)/11
Let f(y) be the second derivative of -y**4/12 - y**3/3 - y**2/2 - 7*y. Factor f(n).
-(n + 1)**2
Let w(u) be the second derivative of u**5/80 + u**4/32 + 7*u**2/2 + 4*u. Let y(l) be the first derivative of w(l). What is b in y(b) = 0?
-1, 0
What is h in 0*h**2 + 0 + 1/4*h**4 + 1/4*h**3 + 0*h = 0?
-1, 0
Let l(k) be the second derivative of -k**7/840 + k**6/360 - k**3/6 - 2*k. Let q(c) be the second derivative of l(c). Let q(p) = 0. What is p?
0, 1
Let c = 8 + -5. Suppose 4*b - 4*b**2 + 6*b**4 - b**c - b**5 - b**5 - b**3 - 2*b**2 = 0. Calculate b.
-1, 0, 1, 2
Let n = -3 - -7. Determine z so that z**5 + 11*z**3 + 8*z**n + 2*z + 3*z**5 + z**3 - 2*z**5 + 8*z**2 = 0.
-1, 0
Factor p**4 - p**2 + 8 - p**3 + p - 7 - 1.
p*(p - 1)**2*(p + 1)
Let d(l) be the second derivative of l**4/54 + 5*l**3/27 + 4*l**2/9 - 5*l. Factor d(j).
2*(j + 1)*(j + 4)/9
Let p(m) = 6*m**4 - 12*m**2 + 4*m + 32. Let u(z) = -5*z**4 + 13*z**2 - 3*z - 32. Let d(v) = 3*p(v) + 4*u(v). Factor d(w).
-2*(w - 2)**2*(w + 2)**2
Factor q**3 - 5/2*q**2 + 5/2*q**4 - q + 0.
q*(q - 1)*(q + 1)*(5*q + 2)/2
Let u = 69/2 - 34. Factor 1/2*i**3 + 0 - u*i + 0*i**2.
i*(i - 1)*(i + 1)/2
Let p = -4 + 14. Suppose 10*i = 5*i + p. Solve -o**2 - i*o**4 - o**2 + 4*o**3 + 0*o**4 = 0 for o.
0, 1
Let 13*y - y - 2*y + 6 - 2*y**3 + 2*y**2 = 0. What is y?
-1, 3
Let r be -2 + 7 + (-1 - 1). Let v**3 + 0*v**3 - v**3 - v**r = 0. Calculate v.
0
Let q(p) = -p**2 - 8*p - 7. Let k be q(-5). Let v(l) = 7*l**3 + l**2 + 11*l - 3. Let m(x) = 11*x**3 + x**2 + 17*x - 5. Let j(b) = k*v(b) - 5*m(b). Factor j(g).
(g + 1)**3
Let q(m) be the third derivative of -2*m**7/105 + m**6/30 + m**2. Factor q(k).
-4*k**3*(k - 1)
Let g(x) = -x**2 + 4*x**3 + 1 - 2*x**3 + x - 3*x**3 + 2*x**3. Let p(f) = -2*f**2 + 3*f - f**3 + 4 - 2*f + 3*f. Let c(z) = -4*g(z) + p(z). Factor c(h).
-h**2*(5*h - 2)
Let j = 0 - -3. Let s be (2 + -2)/(-2)*-1. Factor s*z + 0*z - 2*z**j.
-2*z**3
Let m(q) = 4*q**2 - 11*q + 1. Let x be m(3). Let 4/9*b**2 - 2/9*b**x + 0*b + 0*b**3 - 2/9 = 0. What is b?
-1, 1
Let o(l) = -l**2 - 8*l + 17. Let k(w) = w**2 - 1. Let p(r) = 2*k(r) + o(r). Solve p(d) = 0.
3, 5
Let f = 1/18 + -1/180. Let u(r) be the second derivative of -r - 1/42*r**7 - f*r**5 + 0*r**3 + 0 + 0*r**4 + 1/15*r**6 + 0*r**2. Factor u(w).
-w**3*(w - 1)**2
Let a = -161/3 - -1289/24. Let j(g) be the third derivative of 0*g + 0*g**3 + 1/30*g**5 + 0 + g**2 + a*g**4. Factor j(n).
n*(2*n + 1)
Let v(j) = -17*j**4 + 16*j**3 + 24*j**2 - 41*j - 32. Let g(a) = -4*a**4 + 4*a**3 + 6*a**2 - 10*a - 8. Let w(z) = 9*g(z) - 2*v(z). What is c in w(c) = 0?
-1, 2
Let n(c) = -c**3 + 11*c**2 + 3. Let o be n(11). Let d be (6/(-16))/(o/(-2)). Factor -d + 1/4*x**2 + 0*x.
(x - 1)*(x + 1)/4
Let d = -17 + 20. Suppose -z**4 + 0 - 3/2*z**2 - 1/4*z - 9/4*z**d = 0. Calculate z.
-1, -1/4, 0
Let a(k) be the first derivative of -k**4/66 + k**2/11 - k - 2. Let z(g) be the first derivative of a(g). Factor z(h).
-2*(h - 1)*(h + 1)/11
Suppose 5/6 - 1/6*p**3 - 11/6*p + 7/6*p**2 = 0. Calculate p.
1, 5
Suppose 105 - 109 = -2*o. Find f, given that -2/3*f**o - 4/3 - 2*f = 0.
-2, -1
Let b be (-5)/(-1) - (-1 + 0). Let h(q) = 3*q**2 - 2*q + 2. Let p(a) = -16*a**2 + 11*a - 11. Let v(y) = b*p(y) + 33*h(y). Factor v(i).
3*i**2
Suppose 8 = 2*u + 2. Suppose 3*m - u*n = 12, 5*n + 29 = 9. Let 2*s**2 - 4*s**2 + m*s + 4*s = 0. Calculate s.
0, 2
Let u(j) = j**2 - 5*j - 1. Let h be u(5). Let o be h/(-1) + (-3)/(-3). Factor 16*m + 5*m**3 - 47*m**2 + 17*m**2 - 21*m**3 - o + 32*m**4.
2*(m - 1)*(m + 1)*(4*m - 1)**2
Let i(y) be the second derivative of -y**5/40 - y**4/24 + y**3/6 + 18*y. Factor i(z).
-z*(z - 1)*(z + 2)/2
Let u(y) = -4*y**5 - 16*y**4 + 2*y**3 + 4*y**2 - 7. Let f(s) = -3*s**5 - 15*s**4 + 3*s**3 + 3*s**2 - 6. Let d(v) = 7*f(v) - 6*u(v). Factor d(z).
3*z**2*(z - 1)**3
Let h(m) = -m**2 - 6*m - 6. Let j be h(-4). Let w(p) be the second derivative of 0*p**2 + 0 - 5/6*p**4 - 2/3*p**3 - 3/10*p**5 - j*p. Let w(b) = 0. What is b?
-1, -2/3, 0
Let g(d) = -11*d**3 + 21*d**2 - 3*d. Let j(a) = 5*a**3 - 10*a**2 + 2*a. Let f(m) = 2*g(m) + 5*j(m). Find q such that f(q) = 0.
0, 2/3, 2
Let o(l) be the second derivative of -l**7/7 + 4*l**6/15 - l**5/10 - l. Factor o(w).
-2*w**3*(w - 1)*(3*w - 1)
Let x be (-2)/(1/(-18)*4). Factor -x*t + 5*t**4 + 9*t - 2*t**4 + 3*t**3.
3*t**3*(t + 1)
Suppose -4*m = 2*s + 12, 4*s - 6 = m - 3. Let t(d) be the second derivative of -2*d - 1/5*d**2 - 1/60*d**4 + s - 1/10*d**3. Suppose t(p) = 0. What is p?
-2, -1
Let r(p) = 4*p**2 - 10*p - 9. Suppose 0 = -3*b - 3*v - 48, -6*b - 50 = -3*b + 2*v. Let m(j) = j + 1. Let h(t) = b*m(t) - 2*r(t). What is n in h(n) = 0?
0, 1/4
Let q(s) be the second derivative of -s**5/5 - 2*s**4 - 10*s**3/3 + s + 21. Factor q(f).
-4*f*(f + 1)*(f + 5)
Let v(n) be the third derivative of 5*n**8/336 - n**6/12 + 5*n**4/24 - 44*n**2. Find r such that v(r) = 0.
-1, 0, 1
Let t(r) be the third derivative of 9*r**6/40 - 3*r**5/10 + r**4/6 - r**3/2 + 3*r**2. Let p(m) be the first derivative of t(m). Factor p(s).
(9*s - 2)**2
Let o(m) be the third derivative of -m**8/112 - m**7/14 - 9*m**6/40 - 7*m**5/20 - m**4/4 + 15*m**2. What is a in o(a) = 0?
-2, -1, 0
Let a be (-399)/(-1188) - 2/9. Let j = a + 3/22. Factor j*f**2 + 0 + 1/4*f.
f*(f + 1)/4
Suppose 39/2*z**3 + 9/2*z**4 - 99/2*z + 27 - 3/2*z**2 = 0. What is z?
-3, 2/3, 1
Let m(s) be the first derivative of s**6/30 + s**5/25 - s**4/10 - 5. Suppose m(j) = 0. Calculate j.
-2, 0, 1
Let j(b) be the second derivative of -1/40*b**5 - 1/8*b**4 - 1/4*b**2 + 0 - 3*b - 1/4*b**3. Factor j(i).
-(i + 1)**3/2
Let w(v) = v + 7. Let r be w(-6). Let m(x) be the first derivative of -2/5*x**5 + 0*x**4 + 2/3*x**3 + 0*x**2 - r + 0*x. Suppose m(s) = 0. Calculate s.
-1, 0, 1
Let k(i) be the first derivative of 3*i**4/8 + 9*i**3/2 + 81*i**2/4 + 81*i/2 + 26. Factor k(o).
3*(o + 3)**3/2
Let y(n) be the second derivative of -n**6/15 + n**5/5 + n**4/6 - 2*n**3/3 - 6*n. Factor y(l).
-2*l*(l - 2)*(l - 1)*(l + 1)
Let y be (-44)/(-42) + (-16)/(-7) + -2. Let -2/3 - 2/3*t**2 + y*t = 0. Calculate t.
1
Suppose 3*b = -0*b + 24. Let i(n) = n - 6. Let r be i(b). Determine g so that -2*g + 2*g**3 - 2*g**2 + r*g**4 + 4*g**3 - 4*g**3 = 0.
-1, 0, 1
Suppose 3*l = -0*l + 2*s + 6, -4*l + 2*s = -6. Suppose 8*i - 3*i = l, p = 2*i. Factor 0*f**3 + 2/5*f**4 + 0 + p*f**2 + 0*f.
2*f**4/5
Suppose -3 = -g + k, -2*k - 3*k = 0. Factor -38*h**5 - 7*h**5 + 3*h**5 + 6*h**g + h**4 - 10*h**4.
-3*h**3*(2*h + 1)*(7*h - 2)
Let n(i) = 50*i**4 + 20*i**3 - 155*i**2 + 65*i + 20. Let z(p) = -75*p**4 - 29*p**3 + 232*p**2 - 98*p - 30. Let j(g) = -7*n(g) - 5*z(g). Solve j(s) = 0.
-2, -1/5, 1
Suppose 0 = 9*r - 11*r. Let j(d) be the third derivative of 0 + 1/60*d**5 - 1/12*d**4 + d**2 + r*d + 1/6*d**3. Determine h, given that j(h) = 0.
1
Find u such that -77*u**2 + 2 - 6*u - 6*u**4 + 38*u**2 + 2*u**5 + 4*u**3 + 43*u**2 = 0.
-1, 1
What is x in -6/5*x + 0*x**2 + 2/5*x**3 - 4/5 = 0?
-1, 2
Suppose -4*q + o = -2 - 2, -4 = o. Let p(a) be the second derivative of -5/6*a**3 + 1/4*a**4 + a + a**2 + q. Find d such that p(d) = 0.
2/3, 1
Let s(u) 