 be the first derivative of i(p). Suppose o(q) = 0. What is q?
0, 3
Let j = -4 + 8. Suppose -t = -3*t + 4. Suppose 6*n**2 - 2 + t*n**3 - 3*n**4 - 2*n + n**j - 2 = 0. Calculate n.
-1, 1, 2
Let x be (-1)/4 - (-1)/4. Let z(w) be the second derivative of x - 2*w - 1/6*w**2 - 1/9*w**3 + 1/30*w**5 + 0*w**4 + 1/90*w**6. Find a such that z(a) = 0.
-1, 1
Let z be (-1 + 5)*(-47)/(-2). Suppose 126 = 2*u - z. Let 4*i + 12*i**2 - 2*i**2 - u*i**4 + 11*i**5 - 67*i**5 - 48*i**3 = 0. What is i?
-1, -1/4, 0, 2/7
Let k(s) = 7*s**5 + 12*s**4 + 14*s**3 - 16*s**2 - 54*s - 26. Let w(a) = -a**5 - a**4 - a**3 + a - 1. Let x(f) = -k(f) - 6*w(f). Solve x(g) = 0.
-2, 2
Let i(h) be the third derivative of h**5/105 + 5*h**4/42 + 8*h**3/21 + 7*h**2. Factor i(n).
4*(n + 1)*(n + 4)/7
Let l(c) be the first derivative of -c**6/120 + c**5/60 + 5*c**2/2 + 4. Let y(z) be the second derivative of l(z). Find i, given that y(i) = 0.
0, 1
Let m(i) be the first derivative of -4*i**3/3 + 10*i**2 - 24*i - 3. Suppose m(x) = 0. What is x?
2, 3
Let o(m) be the second derivative of -m**8/2184 - 4*m**7/1365 - m**6/156 - m**5/195 + 3*m**2 + 4*m. Let x(p) be the first derivative of o(p). Factor x(r).
-2*r**2*(r + 1)**2*(r + 2)/13
Let b be 3 - (8 + -4)/4. Let d(t) be the second derivative of -1/40*t**5 - b*t + 1/6*t**3 + 0*t**2 + 0 - 1/24*t**4. Suppose d(a) = 0. Calculate a.
-2, 0, 1
Determine i, given that -4/11*i**3 + 10/11*i - 6/11*i**5 + 2/11 - 14/11*i**4 + 12/11*i**2 = 0.
-1, -1/3, 1
Let p be 23*1/7 + 75 + -78. Factor 2/7*u**2 - 2/7 - 2/7*u + p*u**3.
2*(u - 1)*(u + 1)**2/7
Let u(m) = 2*m + 12. Let h be u(-5). Let w(t) be the first derivative of 0*t**4 - 1/15*t**5 - 1 + 0*t**h + 1/18*t**6 + 0*t + 0*t**3. Factor w(r).
r**4*(r - 1)/3
Let p be (-22)/(-8) - 18/24. Let h be p/9*(-270)/(-9). Factor -h*i + 2/3 + 50/3*i**2.
2*(5*i - 1)**2/3
Let i be (-17)/(-60) - 5/20. Let x(t) be the third derivative of -2*t**2 + 0*t**3 + 1/120*t**6 + 0 + 0*t + 1/24*t**4 - i*t**5. Suppose x(r) = 0. What is r?
0, 1
Let x be 0 + (-1)/(3/(-6)). Let 13*m**4 - 6*m**4 - m**3 - 2*m**x - 6*m**4 = 0. Calculate m.
-1, 0, 2
Suppose 0 = 3*n + 11 - 20. Let l(a) be the third derivative of 0 + 0*a**n - 1/150*a**5 + 0*a + 1/150*a**6 + 0*a**4 - 1/525*a**7 + 3*a**2. Factor l(i).
-2*i**2*(i - 1)**2/5
Let y(v) be the second derivative of -v**4/4 - 5*v**3 - 75*v**2/2 + 10*v. What is m in y(m) = 0?
-5
Let n be 21/(-72)*(-1)/7. Let s(x) be the third derivative of 0 - n*x**4 - 1/60*x**5 + 2*x**2 + 1/3*x**3 + 0*x. Factor s(d).
-(d - 1)*(d + 2)
Let c = -5 + 11. Let m = c - 6. Factor -1/5*h**4 + 0 + m*h + 1/5*h**5 + 1/5*h**2 - 1/5*h**3.
h**2*(h - 1)**2*(h + 1)/5
Let v(x) be the first derivative of -1/2*x**4 - 1/3*x**3 + 2 + 0*x + x**2 + 1/5*x**5. Factor v(l).
l*(l - 2)*(l - 1)*(l + 1)
Let l = -188 - -188. Let n(f) be the second derivative of -1/6*f**4 + f + l - 2/3*f**3 + 0*f**2. Factor n(j).
-2*j*(j + 2)
Let v be 14/(-18)*(-13 + 6 + 1). Find l such that 10/3*l**4 - 4/3*l - 2/3*l**5 + 0 + v*l**2 - 6*l**3 = 0.
0, 1, 2
Let n(p) be the first derivative of p**3/3 + p**2 - 35. Factor n(s).
s*(s + 2)
Factor -4/11*a - 6/11*a**2 + 2/11*a**4 + 0*a**3 + 0.
2*a*(a - 2)*(a + 1)**2/11
Let h be (15/(-25))/(21/(-70)). Factor -14/3*q - 4/9 - 40/3*q**h - 50/9*q**3.
-2*(q + 2)*(5*q + 1)**2/9
Let f(v) = v**2 + 1. Let l(j) = -2*j**2 + 6*j. Let x(n) = -4*f(n) - l(n). Factor x(u).
-2*(u + 1)*(u + 2)
Let g be (-1)/(-14)*2*2. Let p = -44 - -46. Factor 2/7*u**3 + 2/7 - 2/7*u**p - g*u.
2*(u - 1)**2*(u + 1)/7
Let y(p) be the third derivative of p**8/1680 - p**7/2520 + p**5/10 + 6*p**2. Let z(x) be the third derivative of y(x). Factor z(t).
2*t*(6*t - 1)
Suppose -4*q = 3*t - 28, 5*t = -3*q + 2*q + 24. Suppose q*c = -0*c. Factor -6/7*b**4 - 4/7*b**3 + 0*b + 0 + c*b**2.
-2*b**3*(3*b + 2)/7
Let i(f) = -3*f**3 + f**3 + f**4 + 0*f**4 - 3*f**2 + f**2 + 2. Let b(k) = 3*k**4 - 4*k**3 - 5*k**2 + 5. Let l(y) = 2*b(y) - 5*i(y). Factor l(o).
o**3*(o + 2)
Let o be (8/(-3))/((-3)/9). Let a = o + 2. Factor 2*g**4 - 10*g + a*g - 4*g**3.
2*g**3*(g - 2)
Let r(p) = -p**3 + p**2 + p + 1. Let o(u) = 26*u**3 + 15*u**2 - 11*u + 4. Let v(x) = 2*o(x) - 4*r(x). Factor v(a).
2*(a + 1)*(4*a - 1)*(7*a - 2)
Suppose -12*m**3 - 6*m**4 + 2*m**4 + 2*m**5 + 24*m**3 - 10*m**3 = 0. What is m?
0, 1
Let w(d) = -1250*d**2 - 196*d - 4. Let y(r) = -r - 1. Let q(u) = w(u) + 4*y(u). Factor q(g).
-2*(25*g + 2)**2
Let b(k) be the first derivative of -3*k**4/4 - 6*k**3 - 18*k**2 - 24*k - 4. Factor b(a).
-3*(a + 2)**3
Let k(d) be the second derivative of d**6/120 - d**5/80 - 5*d**4/48 - d**3/8 + 16*d. Factor k(z).
z*(z - 3)*(z + 1)**2/4
Let l be (-1)/((-27)/12 - -2). Suppose 0 = -3*i - 3*f + 18, -3*f + 5 - 2 = -2*i. Factor 2*o + 1 - i + 1 - 2*o**3 + o**l.
(o - 1)**3*(o + 1)
Let w(o) = 2*o**3 - o**2 - 5*o. Let u(a) = 3*a**3 - 2*a**2 - 8*a. Let h(z) = 5*u(z) - 8*w(z). Find q such that h(q) = 0.
-2, 0
Factor -i**2 - 2*i - 1/6*i**3 - 4/3.
-(i + 2)**3/6
Let u be 6*(2 - 2/(-2)). Let q be 4/9 + 4/u. Factor -4/3*p + 4/3*p**3 - 2/3 + q*p**2.
2*(p - 1)*(p + 1)*(2*p + 1)/3
Suppose 16 = 4*y, -136 - 52 = 5*g - 2*y. Let h be (-24)/g + (-1)/6. What is m in -1/4 - h*m**3 + 1/4*m**4 + 1/2*m + 0*m**2 = 0?
-1, 1
Suppose 0 = -5*k - a - 55, 2*a - 1 + 11 = 0. Let d be 4/3*(-27)/k. Factor 24/5*r + 8/5 + d*r**2.
2*(3*r + 2)**2/5
Let u be 1/(-2 - 69/(-33)). Let h = u - 10. Factor 5/2*z**3 - 5/2*z - h + z**2.
(z - 1)*(z + 1)*(5*z + 2)/2
Let j(v) be the first derivative of -v**6/30 + 3*v**5/20 - v**4/4 + v**3/6 - 3*v + 1. Let a(o) be the first derivative of j(o). Let a(q) = 0. Calculate q.
0, 1
Let m(p) be the first derivative of p**7/420 - p**5/120 + p**2/2 + 1. Let d(r) be the second derivative of m(r). Factor d(k).
k**2*(k - 1)*(k + 1)/2
Let o(h) be the third derivative of h**5/20 + h**4/4 + h**3/2 - 5*h**2. Find m such that o(m) = 0.
-1
Suppose 6*k = 4*k + 7*k. Let l(j) be the second derivative of 0*j**2 - 3*j - 1/14*j**7 + 1/2*j**4 + k + 3/20*j**5 - 1/5*j**6 + 0*j**3. Solve l(h) = 0 for h.
-2, -1, 0, 1
Suppose -2*s + 3*f - 4*f = -8, f = s + 2. Factor 2/3 - s*r - 8/3*r**2.
-2*(r + 1)*(4*r - 1)/3
Let t = -8 - -4. Let s be t/3 + -8 + 10. Solve -1/3 + s*a - 1/3*a**2 = 0.
1
Suppose -2*x**4 - 4*x**2 - 4*x**3 - 2/5 - 2*x - 2/5*x**5 = 0. What is x?
-1
Let b(n) be the first derivative of -3*n**5/25 - 3*n**4/10 + n**3/5 + 3*n**2/5 - 3. Let b(v) = 0. What is v?
-2, -1, 0, 1
Let h(j) be the first derivative of 4*j**3/21 + j**2/7 + 1. Suppose h(u) = 0. What is u?
-1/2, 0
Let s(o) be the first derivative of -o**3/5 + 18*o**2/5 - 108*o/5 - 25. Let s(h) = 0. What is h?
6
Factor -4/5*v**4 - 1/5 - 3*v**2 - 7/5*v - 13/5*v**3.
-(v + 1)**3*(4*v + 1)/5
Let g(h) = -4*h**2 - 17*h. Let n(y) = 12*y**2 + 52*y. Let d(z) = 16*g(z) + 5*n(z). Factor d(p).
-4*p*(p + 3)
Suppose -5*a + 2*i - 22 = 4*i, -a + 2*i = 2. Let d be a + (-48)/10*-1. Factor 0 + 2*h**3 + d*h**2 + 0*h.
2*h**2*(5*h + 2)/5
Let j(a) = -2*a**2 + 5*a + 7. Let z be j(3). Solve -1/2 + 1/2*v**5 - v**3 + v**2 + 1/2*v - 1/2*v**z = 0.
-1, 1
Let l(j) be the first derivative of -j**8/1344 + j**7/280 - j**6/240 + j**2/2 + 3. Let u(r) be the second derivative of l(r). Let u(d) = 0. What is d?
0, 1, 2
Let r(s) be the first derivative of -s**6/15 + 2*s**5/25 + s**4/5 + 16. Factor r(p).
-2*p**3*(p - 2)*(p + 1)/5
Let s be 13 + (-1 - 1/(-1)). Suppose -4*a + m = -s - 0, -5*m - 5 = 0. Factor -o**2 - 3*o**3 + o**a + 3*o**2.
-2*o**2*(o - 1)
Let o = -24 + 27. Let w(c) be the second derivative of 3*c + 0 + 0*c**o - 1/30*c**4 + 1/5*c**2. Let w(b) = 0. What is b?
-1, 1
Let v = 10 + -2. Solve -v - 9*f**2 + 3*f**3 - 3*f + 12*f + 5 = 0 for f.
1
Determine n, given that -20*n**4 - 2*n**3 + 13*n**3 + 20*n**2 - 7*n**3 - 12*n**5 + 8*n = 0.
-1, -2/3, 0, 1
Let m(d) = d**3 + 8*d**2 - 10*d + 5. Let h be m(-9). Let n be 4/(-3)*(-6)/h. Solve 0*t**2 + 4/7*t**3 - 2/7 + 2/7*t**4 - n*t = 0 for t.
-1, 1
Let d(f) be the second derivative of f**6/540 - f**5/60 + f**4/18 - f**3/3 + 4*f. Let l(h) be the second derivative of d(h). Determine u, given that l(u) = 0.
1, 2
Let j(b) be the first derivative of 0*b**3 + 0*b - 1/180*b**5 + b**2 - 1/72*b**4 - 2. Let q(k) be the second derivative of j(k). Factor q(s).
-s*(s + 1)/3
Let p be 2 - 1 - 2/2. Factor -4*m**3 + 2*m**3 + p*m**3 - 2*m**4.
-2*m**3*(m + 1)
Suppose -5*i + 8 = -2. Factor 0*p**i + 3*p**4