30 - o**4/6 + o**3/3 - o**2/2 - o. Let t(n) be the first derivative of y(n). Let t(m) = 0. What is m?
-1, 1
Let g(y) = -5*y - 4. Let r be g(-3). Let w = r + -3. Factor -w + 2*n**3 - 2*n**4 + 8.
-2*n**3*(n - 1)
Factor -o**4 - 3 - 2*o**3 + 6*o + 8*o**4 - 4*o**3 - 4*o**4.
3*(o - 1)**3*(o + 1)
Let f(a) = -5*a**3 + a**2 - a + 2. Let v = -7 + 10. Let s(r) = -4 + r + r - 3*r**2 + r + 11*r**v. Let k(h) = 7*f(h) + 3*s(h). Solve k(n) = 0.
-1, 1
Let x(d) = -65*d**3 - 147*d**2 - 8*d + 27. Let h(w) = w**3 + w**2 - 1. Let m(i) = -5*h(i) + x(i). Determine n so that m(n) = 0.
-2, -4/7, 2/5
Let u be (2 - 1) + (-2)/(-2). Factor o**4 + 4*o**2 + u*o**2 - 6*o**2 + o**3.
o**3*(o + 1)
Let f(r) be the second derivative of r**7/105 - r**6/20 + r**4/3 - 9*r**2/2 + r. Let s(i) be the first derivative of f(i). Factor s(o).
2*o*(o - 2)**2*(o + 1)
Let l(g) be the first derivative of -g**4/4 - 10*g**3/3 - 44. Let l(a) = 0. What is a?
-10, 0
Suppose 0 = -3*u + 3*j - 30, -3*u - j = 3*j + 58. Let r be (-32)/(-14) + 4/u. Factor r + y**3 - 4*y**2 + 2*y**4 - y**3.
2*(y - 1)**2*(y + 1)**2
Let n = 10 - 2. Solve -4*g**3 + 8*g**2 + n*g**3 - 5*g**2 + 5*g**2 = 0 for g.
-2, 0
Let n = -151 - -153. Factor -n*b**4 - b + 0 - 2*b**3 + 7/2*b**2.
-b*(b + 2)*(2*b - 1)**2/2
Let v be (-8 + 3)/(2 + -3). Let g be v + -2 - (-10)/(-4). Factor 0 - 1/4*c**4 + 0*c + g*c**2 - 1/4*c**3.
-c**2*(c - 1)*(c + 2)/4
Factor 4 - 3*p**3 - 4 + 6*p**3 - 3*p.
3*p*(p - 1)*(p + 1)
Factor 1/4*h**5 + 0*h**3 - 1/4*h + 0 + 1/2*h**4 - 1/2*h**2.
h*(h - 1)*(h + 1)**3/4
Let l(z) be the second derivative of z**9/10080 + z**8/2240 + z**7/1680 + z**4/6 - 2*z. Let d(s) be the third derivative of l(s). Suppose d(f) = 0. What is f?
-1, 0
Let i = -87 - -50. Let a = i - -186/5. Determine h, given that 2/5*h + 0 + a*h**3 + 3/5*h**2 = 0.
-2, -1, 0
Let i(m) be the third derivative of m**2 + 0*m**6 - 1/315*m**7 + 0*m**4 + 1/45*m**5 + 0*m - 1/9*m**3 + 0. Factor i(q).
-2*(q - 1)**2*(q + 1)**2/3
Let z = 2 - 0. Let y be -2*(-4)/((-32)/(-2)). Determine p, given that -1/2*p**z - 3/2*p**4 + 0*p - y*p**5 - 3/2*p**3 + 0 = 0.
-1, 0
Let i(j) be the second derivative of 3*j**5/20 - 5*j**4/4 - j**3/2 + 15*j**2/2 - 16*j. Suppose i(k) = 0. What is k?
-1, 1, 5
Let g(k) be the second derivative of 0*k**4 + 0 - 2/105*k**6 + 1/147*k**7 + 0*k**2 + 0*k**3 + 2*k + 1/70*k**5. Let g(f) = 0. What is f?
0, 1
Let x = -6 - -11. Suppose 4*n - 7 - 2 = -3*a, 5*a + x*n - 15 = 0. Determine q, given that 7*q - q**2 - q**2 - 2 - a*q**2 + 0 = 0.
2/5, 1
Suppose 0*t = t. Let k(b) be the third derivative of -5/108*b**4 + t + 0*b - 1/27*b**3 - 2/135*b**5 + b**2. Factor k(q).
-2*(q + 1)*(4*q + 1)/9
Let h be (6/(-9))/(2/(-9)). Factor h*c**2 + 0*c**2 + 2*c**3 + 6*c + 6*c**2 + c**3.
3*c*(c + 1)*(c + 2)
Suppose 12 = 4*u - u. Suppose 4*i = -3*g - 4, g - 2*g = u. Find t such that 9/4*t + 11/4*t**3 + 3/4*t**4 + 1/2 + 15/4*t**i = 0.
-1, -2/3
Let y(p) = 11*p**2 - 13*p - 7. Let l(t) = 5*t**2 - 6*t - 3. Let v be -3 - 1/3*3. Let k(r) = v*y(r) + 9*l(r). Determine m, given that k(m) = 0.
1
Let w(p) be the second derivative of p**6/540 + p**5/135 + p**4/108 - 2*p**2 + 2*p. Let b(r) be the first derivative of w(r). Factor b(j).
2*j*(j + 1)**2/9
Let d(b) = -b**3 - 13*b**2 + 2. Let p be d(-13). Let w + 2*w**3 - 5*w + 2*w**2 + p*w**5 - 12*w**4 + 6*w**4 + 4*w**2 = 0. What is w?
-1, 0, 1, 2
Let p be (-78)/(-21) + -3 + 10/35. Let y(r) be the first derivative of -p - 1/2*r**4 - 12*r**2 - 4*r**3 - 16*r. Let y(c) = 0. What is c?
-2
Let p(y) be the third derivative of -y**6/160 - y**5/20 - y**4/8 - 6*y**2 + 3*y. Factor p(a).
-3*a*(a + 2)**2/4
Suppose 1/3*h - 1/9*h**5 - 2/9*h**3 - 1/9 + 1/3*h**4 - 2/9*h**2 = 0. Calculate h.
-1, 1
Let g(h) be the first derivative of -h**4/22 - 4*h**3/33 - h**2/11 - 26. Factor g(f).
-2*f*(f + 1)**2/11
Let w(j) = -8*j**2 + 12*j - 10. Let g(l) = l**2 - l + 1. Let o(m) = 6*g(m) + w(m). Suppose o(v) = 0. What is v?
1, 2
Let b(z) be the first derivative of z**6/6 - 2*z**5/5 + 2*z**3/3 - z**2/2 + 9. Factor b(a).
a*(a - 1)**3*(a + 1)
Let -3*o + 7*o + o**3 + 2*o**3 - o**3 - 6*o**2 = 0. Calculate o.
0, 1, 2
Factor 9/5 + 3/5*j**2 - 3*j + 3/5*j**3.
3*(j - 1)**2*(j + 3)/5
Let -3/5*b**2 + 3/5*b - 3/5*b**3 + 3/5 = 0. What is b?
-1, 1
Factor -8/7*b**2 - 2/7*b**4 + 0 - 8/7*b**3 + 0*b.
-2*b**2*(b + 2)**2/7
Let p be 1 + 1/(-2)*2. Suppose -5*a + 0*a = p. Solve -2/9*m**3 + 0*m - 2/9*m**4 + 2/9*m**5 + a + 2/9*m**2 = 0 for m.
-1, 0, 1
Let w(c) = -13*c**5 - 21*c**4 - 9*c**3 + 9*c**2 + 2*c. Let n(i) = -i**5 - i**4 + i**2. Let j(o) = 24*n(o) - 3*w(o). Suppose j(r) = 0. Calculate r.
-1, 0, 2/5
Let p(l) be the third derivative of 0*l**4 - 7/600*l**6 - 1/525*l**7 + 1/240*l**8 + 0*l + 1/150*l**5 + 0 - 7*l**2 + 0*l**3. Solve p(o) = 0 for o.
-1, 0, 2/7, 1
Suppose 52 - 28 - 26 - 2*b**2 - 4*b = 0. What is b?
-1
Let d be 22/(-220)*(-15)/2. Factor 0*y + 0 + 3/4*y**4 - d*y**3 - 1/4*y**5 + 1/4*y**2.
-y**2*(y - 1)**3/4
Let l(i) be the second derivative of -i**7/105 - i**6/30 - i**5/30 - 2*i**2 - 5*i. Let r(b) be the first derivative of l(b). Factor r(q).
-2*q**2*(q + 1)**2
Let f(z) = 2*z**4 - 8*z**3 - 6*z**2 + 4*z. Let l(k) = -k**4 + 7*k**3 + 5*k**2 - 3*k. Let q(g) = 3*f(g) + 4*l(g). Factor q(i).
2*i**2*(i + 1)**2
What is w in 21*w - 14*w - 17*w - 4 - 2*w**3 - 8*w**2 = 0?
-2, -1
Let u(h) be the first derivative of -h**6/540 + h**5/90 - 4*h**3/27 + 7*h**2/2 + 1. Let c(v) be the second derivative of u(v). Determine x so that c(x) = 0.
-1, 2
Let z be 12/2*39/45 - 2. Factor -4/5*f**2 + z + 0*f.
-4*(f - 2)*(f + 2)/5
Suppose 0*j + 4 = 2*j. Suppose -3*o + 3*i + 10 = i, j*i = -4. Factor -2/5*r**3 - 2/5*r**o + 4/5*r + 0.
-2*r*(r - 1)*(r + 2)/5
Let d(l) be the first derivative of l**6/1080 + l**5/180 + l**3/3 + 2. Let r(v) be the third derivative of d(v). Suppose r(g) = 0. What is g?
-2, 0
Let j(n) be the third derivative of n**7/105 + n**6/15 + 5*n**2. Find p such that j(p) = 0.
-4, 0
Let i(f) be the first derivative of -5 + 0*f**2 - 12/5*f**5 - 2/3*f**6 - 3*f**4 + 0*f - 4/3*f**3. Let i(n) = 0. Calculate n.
-1, 0
Suppose -18*b + 1 + 35 = 0. Factor -4/9*n**b + 0 + 0*n - 14/9*n**3.
-2*n**2*(7*n + 2)/9
Let g(r) be the third derivative of r**6/540 - 2*r**5/135 + 5*r**4/108 - 2*r**3/27 - 7*r**2. Factor g(d).
2*(d - 2)*(d - 1)**2/9
Let b be (-15)/2*(-112)/35. Let f be ((-7)/(-21))/(7/b). What is u in f*u + 2/7*u**2 + 8/7 = 0?
-2
Let y(s) = -2*s + 10. Let h be y(11). Let i be 5*(0 + h/(-45)). Factor 2/3*n - i + 2/3*n**2.
2*(n - 1)*(n + 2)/3
Let f be 12/(-9)*-1*3. Let v(i) = i**2 - 1. Let x be v(-2). Find q, given that q**2 - q**3 + 0*q**3 + x*q**f + q**5 + 4*q**3 = 0.
-1, 0
Solve t**4 + t**5 + 1/4*t**3 + 0 + 0*t + 0*t**2 = 0.
-1/2, 0
Let x(y) = 6*y + 21. Let w be x(-3). Let 2/5*a**2 - 2/5*a**4 + 0 + 0*a**w + 0*a = 0. Calculate a.
-1, 0, 1
Suppose -2*n - 3 = -n. Let r be 14/(-21) - 4/n. Suppose 0*l + 4/3*l**3 - 2/3*l**2 + 0 - r*l**4 = 0. Calculate l.
0, 1
Factor 3/4*t**2 - 3 + 3/4*t**3 - 3*t.
3*(t - 2)*(t + 1)*(t + 2)/4
Let x(j) = -j - 4. Let n be x(-9). Let d = n + -2. Determine u so that 4*u - u + 0*u - u**d - 4*u + 2*u**2 = 0.
0, 1
Let -2/9*j**3 - 4/9 + 2/9*j - 2/3*j**4 + 10/9*j**2 = 0. Calculate j.
-1, 2/3, 1
Let t(c) be the third derivative of -c**6/900 + c**5/150 - c**3/6 + c**2. Let q(d) be the first derivative of t(d). Find f, given that q(f) = 0.
0, 2
Suppose 5*r + 5 = n, -2*n - 1 = 5*r + 4. Determine c, given that 5*c**2 - c**2 + 2*c + n*c**3 - 3*c**3 + c**3 - 4 = 0.
-1, 1, 2
Let s(r) be the third derivative of r**7/1400 - r**6/600 - r**5/200 + r**4/40 - r**3 - r**2. Let f(n) be the first derivative of s(n). Factor f(a).
3*(a - 1)**2*(a + 1)/5
Let x be (-1)/((-300)/245) + 12/(-15). Let c(y) be the second derivative of -1/30*y**3 + 1/5*y**2 + 0 - x*y**4 + 3*y. Solve c(s) = 0 for s.
-2, 1
Let m(d) be the second derivative of d**6/40 + d**5/20 - 2*d**2 + 5*d. Let u(l) be the first derivative of m(l). Factor u(w).
3*w**2*(w + 1)
Factor 4/5*d - 2/5 - 2/5*d**2.
-2*(d - 1)**2/5
Let t(o) be the first derivative of 5*o**3/2 + 29*o**2/4 - o - 12. Factor t(u).
(u + 2)*(15*u - 1)/2
Suppose 2*y - 15 = -5*z, -5*z - 4*y + 9*y = -50. Let u = 37/84 + -4/21. Factor -3/4*v**4 - u*v**z + 0*v**2 + 0 - 1/2*v**3 + 0*v.
-v**3*(v + 1)*(v + 2)/4
Let s(o) = o**5 - o**4 + o - 1. Let w(b) = -6*b**4 + 4*b**2 + 4*b - 2. Let u(i) = 2*s(i) - w(i