 + 0 = 0?
-1, 0, 1
Suppose -3*p = -n + 4, 3*p = -0*n - 3*n - 12. Let z = 3 + n. Factor 5*u - 4*u**3 + 5*u - 6*u - z + u**2.
-(u - 1)*(u + 1)*(4*u - 1)
Let f = -6 + 8. Factor 2*k**2 - 4*k**3 + 1 + f*k**2 - 5*k**2 - k + 5*k**3.
(k - 1)**2*(k + 1)
Suppose 36*q + 4*q = 0. Factor 0 - 2/3*p**3 - 1/3*p**2 + q*p - 1/3*p**4.
-p**2*(p + 1)**2/3
Determine w so that -w**2 - 1/2*w**4 + 0*w - 3/2*w**3 + 0 = 0.
-2, -1, 0
Suppose 18*h**3 + h + 3*h**4 - 51*h + 0*h**4 - h**4 + 30*h**2 = 0. Calculate h.
-5, 0, 1
Let t(g) be the first derivative of -g**7/490 + 3*g**6/280 - 3*g**5/140 + g**4/56 - 3*g**2/2 + 4. Let i(o) be the second derivative of t(o). Factor i(b).
-3*b*(b - 1)**3/7
Let z be (-1 - -5)*(-105)/(-360). Solve 2/3*j**3 + 1/3*j + z*j**2 - 1/6 = 0.
-1, 1/4
Let n(o) be the third derivative of o**2 + 0 + 2/3*o**3 + 0*o + 5/6*o**4 + 5/12*o**5. What is w in n(w) = 0?
-2/5
Let p(y) be the second derivative of 0*y**3 + 0 + 3*y - 1/20*y**5 + 1/18*y**4 + 0*y**2. What is s in p(s) = 0?
0, 2/3
Let g(z) = -2*z - 3. Let s be g(-3). Let i(f) be the third derivative of -1/120*f**6 + 1/60*f**5 + 0*f**s + 0 - f**2 + 0*f + 0*f**4. What is x in i(x) = 0?
0, 1
Let i(f) be the third derivative of f**8/2520 - f**7/1260 - f**6/270 + f**3/2 + 3*f**2. Let d(p) be the first derivative of i(p). Find a such that d(a) = 0.
-1, 0, 2
Factor 2/5 - 1/5*a**2 + 1/5*a.
-(a - 2)*(a + 1)/5
Let u(o) be the third derivative of 0*o**3 + 0*o - 1/10*o**5 + 0 + 2*o**2 - 1/12*o**4. Let u(m) = 0. Calculate m.
-1/3, 0
Let w be ((-6)/11)/((-90)/495). Factor 3/7 + 9/7*n**2 + 9/7*n + 3/7*n**w.
3*(n + 1)**3/7
Let v(p) = -14*p**3 + 14*p**2 - 2*p - 6. Let y(l) = -5*l**3 + 5*l**2 - l - 2. Let r(a) = -3*v(a) + 8*y(a). Solve r(h) = 0 for h.
-1, 1
Factor -4*y**2 + 16*y**4 - 2/3*y**3 - 2/3*y - 32/3*y**5 + 0.
-2*y*(y - 1)**2*(4*y + 1)**2/3
Let i(q) = -q**4 + q**3. Let b(m) = -27*m**5 + 84*m**4 - 123*m**3 + 90*m**2 - 27*m + 3. Let n(k) = -b(k) + 15*i(k). Solve n(j) = 0.
1/3, 1
Suppose 4*l - 1 = -3*b, -b + 4*l + 8 = -3. Suppose -b*h**2 + h**3 + 2*h**2 + h - 2*h**2 - 1 + 2*h = 0. What is h?
1
Determine h, given that -9/4*h + 0*h**4 + 3*h**3 - 3/4*h**5 - 3/2*h**2 + 3/2 = 0.
-2, -1, 1
Let t(c) be the third derivative of -c**10/680400 + c**8/45360 - c**6/3240 - c**5/60 - c**2. Let d(w) be the third derivative of t(w). Factor d(b).
-2*(b - 1)**2*(b + 1)**2/9
Suppose 0 = 8*j - 3*j. Let w(q) = 3*q**3 - 10*q**2 + 4*q. Let m be w(3). Let 2*c + 13*c**2 - 25/4*c**4 + 45/2*c**m + j - 125/4*c**5 = 0. What is c?
-2/5, 0, 1
Let y(j) be the third derivative of 1/15*j**6 - 4*j**2 + 0*j**3 + 1/5*j**5 + 0 + 0*j + 1/6*j**4. Factor y(r).
4*r*(r + 1)*(2*r + 1)
Let z(s) be the second derivative of 9*s**5/80 - s**4/4 + s**3/8 - 2*s. Factor z(o).
3*o*(o - 1)*(3*o - 1)/4
Let j(c) = 11*c**4 + 27*c**3 + 29*c**2 + 35*c + 1. Let b(w) = -6*w**4 - 14*w**3 - 14*w**2 - 18*w. Let i(q) = 7*b(q) + 4*j(q). Suppose i(u) = 0. What is u?
-2, -1
Suppose -2/3*k**2 + 2/3*k**3 + 0 + 0*k = 0. What is k?
0, 1
Factor 0*h**2 + 0*h + 0 + 4/3*h**4 - 1/3*h**3.
h**3*(4*h - 1)/3
Factor 15*j**5 + 3*j - 5 + 78*j**3 + 42*j**2 - 1105*j**4 + 1162*j**4 + 2.
3*(j + 1)**4*(5*j - 1)
Let h(y) be the second derivative of -y**9/6048 - y**8/3360 + 2*y**3/3 - 5*y. Let z(m) be the second derivative of h(m). Factor z(w).
-w**4*(w + 1)/2
Let a(f) = -f**2 - f. Let v(r) = -6*r + 2. Let p be (40/15)/(1/3). Suppose -p*s + 4*s = 8. Let b(k) = s*a(k) + v(k). Determine g so that b(g) = 0.
1
Factor 2*j**2 + 18*j + 3 + 5*j**2 + 16*j**2 + 4*j**2.
3*(3*j + 1)**2
Let z(d) be the third derivative of -1/48*d**4 + 3*d**2 + 1/120*d**5 + 0 + 0*d + 0*d**3. Solve z(y) = 0.
0, 1
Let j(b) be the third derivative of b**5/150 + b**4/6 + 5*b**3/3 + 6*b**2. Factor j(y).
2*(y + 5)**2/5
Determine t so that -78*t**3 + 36*t - 45*t**4 - 5*t**2 + 19 - 7 - 4*t**2 = 0.
-1, -2/5, 2/3
Suppose -5*k + 4*i - 2 = -0*i, -2*k = -5*i + 11. Suppose 3*v = k*v. Factor 0*n - 2/7*n**2 + v + 0*n**3 + 2/7*n**4.
2*n**2*(n - 1)*(n + 1)/7
Let j(h) be the first derivative of 0*h**2 - 1/2*h**3 + 0*h + 3. Factor j(z).
-3*z**2/2
Suppose 0 = 4*c + 32 + 28. Let a = c - -31/2. Factor a*f**2 + 0*f - 1/2.
(f - 1)*(f + 1)/2
Factor -3/5*o**2 + 6/5 + 3/5*o.
-3*(o - 2)*(o + 1)/5
Let y be (-4)/(-6) - (-14)/6. Let -4 - y*m**2 + 5*m**2 + 2*m**2 - 6*m**3 + 6*m = 0. Calculate m.
-1, 2/3, 1
Let p(o) be the second derivative of -7*o**4/18 + o**3 - 2*o**2/3 + 10*o. Factor p(n).
-2*(n - 1)*(7*n - 2)/3
Determine j so that -9/4*j - 27/4 + 21/2*j**2 - 15/4*j**4 + 3/4*j**5 + 3/2*j**3 = 0.
-1, 1, 3
Let f(d) = 15*d**2 - 12*d - 9. Let o(n) be the second derivative of -7*n**4/12 + n**3 + 2*n**2 - 2*n. Let s(z) = -4*f(z) - 9*o(z). Factor s(c).
3*c*(c - 2)
Let j be 103/(-5) - 6/(-10). Let o(s) = s**4 - s**3 + s. Let d(f) = -12*f**4 + 14*f**3 - 2*f**2 - 10*f. Let n(u) = j*o(u) - 2*d(u). Let n(g) = 0. What is g?
0, 1
Suppose m - 100 = -96. Factor 0 - m*i**2 + 8/5*i - 4/5*i**4 + 16/5*i**3.
-4*i*(i - 2)*(i - 1)**2/5
What is p in -4/7 - 2/7*p**2 - 6/7*p = 0?
-2, -1
Let k(z) be the first derivative of -z**7/945 - z**6/540 + z**5/270 + z**4/108 - z**2/2 + 3. Let a(o) be the second derivative of k(o). Factor a(m).
-2*m*(m - 1)*(m + 1)**2/9
Let x = -19/14 + 32/21. Factor 0*f**2 - 1/6 - 1/3*f**3 + x*f**4 + 1/3*f.
(f - 1)**3*(f + 1)/6
Let m(l) be the third derivative of -l**6/1620 - l**5/135 - l**4/27 + l**3/3 - l**2. Let a(o) be the first derivative of m(o). Factor a(h).
-2*(h + 2)**2/9
Solve -1/5*l + 0 - 2/5*l**2 + 2/5*l**4 + 1/5*l**3 = 0.
-1, -1/2, 0, 1
Let b be -3 + 0/2 + 15. Let k(i) = i - 1. Let m(f) = f**2 + 3*f - 4. Let w(u) = b*k(u) - 3*m(u). Suppose w(c) = 0. Calculate c.
0, 1
Let h(a) be the second derivative of -a**6/70 + 9*a**5/140 + a**4/28 - 3*a**3/14 + 6*a. Factor h(z).
-3*z*(z - 3)*(z - 1)*(z + 1)/7
Let l = 11171/8610 + -53/41. Let w(v) be the third derivative of -l*v**7 + 0*v**4 - 4*v**2 + 1/40*v**6 - 1/30*v**5 + 0 + 0*v**3 + 0*v. Factor w(i).
-i**2*(i - 2)*(i - 1)
Let t(p) be the second derivative of p**6/180 + p**5/24 + p**4/8 + 7*p**3/36 + p**2/6 - 44*p. Solve t(g) = 0 for g.
-2, -1
Let q(a) = a**2 - 3*a - 10. Let k be q(-2). Determine m so that 0 + k*m + 2/7*m**5 - 2/7*m**4 + 2/7*m**2 - 2/7*m**3 = 0.
-1, 0, 1
Let m be ((-6)/1)/(58 - 62). Factor -m*v**3 - 2 - 13/2*v**2 - 8*v.
-(v + 2)**2*(3*v + 1)/2
Let y(x) be the first derivative of x**9/1008 + x**8/420 - x**7/840 - x**6/180 - x**3 + 1. Let p(v) be the third derivative of y(v). Let p(s) = 0. Calculate s.
-1, 0, 2/3
Let p = 4/16039 - -3159635/192468. Let y = -63/4 + p. Let 0 + 0*v**2 + 0*v - y*v**4 - 1/3*v**3 = 0. What is v?
-1/2, 0
Let t(p) = p**2 + 1. Let y(k) = -2 + k**2 - 3*k**2 + 4 - 3. Let q(f) = -3*t(f) - 3*y(f). Factor q(n).
3*n**2
Let g(p) be the first derivative of 0*p**2 + 0*p + 0*p**3 - 1/13*p**6 + 1/13*p**4 + 2/65*p**5 + 3. Let g(t) = 0. Calculate t.
-2/3, 0, 1
Let q be ((-10)/(-4))/(1/(-2)). Let z = q + 11. Factor -9*o**3 - z + 18*o**2 - 9*o**3 + 4 - 3*o + 5*o.
-2*(o - 1)*(3*o - 1)*(3*o + 1)
Factor 5/3*n + 1/3*n**5 + 10/3*n**3 - 1/3 - 5/3*n**4 - 10/3*n**2.
(n - 1)**5/3
Let y(g) = g**3 + 2*g**2 - 5*g + 3. Let u(m) = m**2 - m + 1. Let q(r) = 3*u(r) - y(r). Suppose q(l) = 0. Calculate l.
-1, 0, 2
Let c be (6/4)/((-135)/(-36)). Solve 4/5*d - c*d**2 - 2/5 = 0 for d.
1
Let c = 30 - 25. Let w(z) be the third derivative of 0*z**c + 0*z**3 + 0*z + 0*z**4 + 1/1344*z**8 - 1/420*z**7 + 1/480*z**6 + 2*z**2 + 0. Factor w(g).
g**3*(g - 1)**2/4
Factor 1/3*j**3 - 1/3*j**2 + 0 + 0*j.
j**2*(j - 1)/3
Let h be 26/(-169) + 36/65. Factor -2/5*x**3 - h*x**4 + 0 + 0*x**2 + 0*x.
-2*x**3*(x + 1)/5
Factor 3*s**3 + 0 + 0*s + 3*s**2 + 3/4*s**4.
3*s**2*(s + 2)**2/4
Suppose 2*z + 1 = 3*z. Suppose z + 0 = 5*r + 3*b, -b - 1 = r. Let 4/11*f - 10/11*f**3 - 6/11*f**r + 0 = 0. Calculate f.
-1, 0, 2/5
Let v(j) = -5*j**3 + 31*j**2 - 118*j + 144. Let l(f) = f**3 + f**2 - f. Let u(y) = 2*l(y) + v(y). Factor u(q).
-3*(q - 4)**2*(q - 3)
Suppose 0 = -35*u + 36*u - 5. Let b(o) be the third derivative of 0 - 1/27*o**3 + 0*o + 1/54*o**4 + 2*o**2 - 1/270*o**u. Find r such that b(r) = 0.
1
Let k = -16/5 + 53/15. Factor 1/3*d**3 + 0 + 0*d**2 - k*d.
d*(d - 1)*(d + 1)/3
Let s(p) be the third derivative of -p**6/450 + p**5/120 - p**4/120 - p**3/6 - 5*p**2. Let g(f) be the first derivative of s(f). Let g(b) = 0. Calculate b.
1/4, 1
Let x(c