 in -12 + 2 + 20*w + 2 + 4*w**3 - 16*w**2 = 0?
1, 2
Let p(y) = y**2 + 4*y + 3. Let r be p(-2). Let z be (-3)/9*9*r. Suppose 0*h**3 + 0*h**3 + 0*h**2 - h**z - h**4 + 2*h**2 = 0. What is h?
-2, 0, 1
Let x(o) be the third derivative of 2*o**7/105 + o**6/30 - 8*o**2. Factor x(c).
4*c**3*(c + 1)
Let d(l) = l**3 - 11*l**2 + l - 8. Let x be d(11). Factor 1 - 3*n**2 + 3*n**4 + 1 - 3*n**x + 3*n - 2.
3*n*(n - 1)**2*(n + 1)
Let o be 2 - (0 + (-16)/(-10)). Let k = 13 - 9. Determine y so that -2/5*y**5 - 2/5*y**k + 4/5*y**2 - o - 2/5*y + 4/5*y**3 = 0.
-1, 1
Let z(j) = -j**2 - 4*j. Let q(g) = -6*g**2 - 21*g. Suppose 0 = 2*c + 29 + 15. Let h(y) = c*z(y) + 4*q(y). Factor h(o).
-2*o*(o - 2)
Let 0 - 2/3*n**2 - 4*n = 0. What is n?
-6, 0
Determine s, given that -2/5 + 1/5*s + 4/5*s**5 + 19/5*s**4 + 31/5*s**3 + 19/5*s**2 = 0.
-2, -1, 1/4
Let d(f) be the third derivative of 0*f + 2/105*f**7 + 0 + 0*f**3 - 1/15*f**5 + f**2 + 0*f**6 + 1/168*f**8 - 1/12*f**4. Factor d(o).
2*o*(o - 1)*(o + 1)**3
Let s(c) be the third derivative of c**7/5040 - c**5/240 - c**4/12 - 4*c**2. Let w(k) be the second derivative of s(k). Factor w(v).
(v - 1)*(v + 1)/2
Let c be 14 + -11 - 0/(-2). Suppose 0*w**2 - 2/3*w**c + 2*w + 4/3 = 0. What is w?
-1, 2
Let s(k) be the third derivative of -1/945*k**7 + 0*k + k**2 + 1/270*k**6 - 1/54*k**4 + 0*k**5 + 0 + 1/27*k**3. Factor s(o).
-2*(o - 1)**3*(o + 1)/9
Let d(g) be the third derivative of -g**7/630 - g**6/45 - 2*g**5/15 - g**4/6 - 4*g**2. Let r(n) be the second derivative of d(n). Factor r(x).
-4*(x + 2)**2
Factor 3/4 + a - 1/4*a**4 - 1/2*a**2 - a**3.
-(a - 1)*(a + 1)**2*(a + 3)/4
Let h(z) be the first derivative of 2*z**3/3 + 14*z**2 + 98*z + 2. Factor h(a).
2*(a + 7)**2
Let t = 8 - 13. Let h = t - -7. Factor -2/3*b - 2/3*b**h + 2/3*b**3 + 2/3.
2*(b - 1)**2*(b + 1)/3
Let k = -69 - -69. Let q(y) be the third derivative of k*y - 2/15*y**3 + 0 - 1/30*y**4 - y**2 - 1/300*y**5. Factor q(n).
-(n + 2)**2/5
Let x be ((-114)/15 + 7)/(3/(-10)). Let o(z) be the first derivative of -1/4*z + 3/8*z**x - 1/4*z**3 - 2 + 1/16*z**4. Let o(u) = 0. What is u?
1
Let n(q) be the second derivative of q**7/17640 - q**6/1260 - q**4/12 + 6*q. Let b(u) be the third derivative of n(u). Find l, given that b(l) = 0.
0, 4
Let o(b) be the second derivative of -5*b**4/102 - 6*b**3/17 + 8*b**2/17 + 18*b. Determine d so that o(d) = 0.
-4, 2/5
Suppose 3*w + 4 = -2, 8 = 4*h - 4*w. Let l(a) be the second derivative of a + 0 + 0*a**3 + 1/40*a**6 + 1/40*a**5 + h*a**2 - 1/48*a**4. Factor l(c).
c**2*(c + 1)*(3*c - 1)/4
Let -68 + 12*o + 68 - 3*o**4 + 15*o**3 - 24*o**2 = 0. What is o?
0, 1, 2
Factor -3*s**2 - 3*s**3 - 1 - 5 + 9*s**2 + 0*s**3 + 3*s.
-3*(s - 2)*(s - 1)*(s + 1)
Let r(v) be the third derivative of 1/60*v**5 - 1/18*v**4 + 0 + 1/180*v**6 + 0*v - 1/630*v**7 - 2/9*v**3 - v**2. Find h, given that r(h) = 0.
-1, 2
Let d be 9/45 - 14/(-5). Let r be 9 + (5 - d) + -3. Factor -4/3 - 15*l**2 - 25/3*l**3 - r*l.
-(l + 1)*(5*l + 2)**2/3
Let q = -1/398 - -801/1990. Factor q*a**2 + 0 - 2/5*a.
2*a*(a - 1)/5
Let h(w) be the first derivative of -w**4/48 + w**2/8 - 3*w - 1. Let u(p) be the first derivative of h(p). What is a in u(a) = 0?
-1, 1
Suppose -3/2*a**2 - 6 - 6*a = 0. What is a?
-2
Let g(p) be the second derivative of 0 - 1/3*p**2 + 0*p**3 + 1/18*p**4 + 2*p. Suppose g(n) = 0. Calculate n.
-1, 1
Let g(u) = -6*u - 2. Let t be g(-2). Suppose 0 = -2*s + 4. Factor t*k**s - 4*k + 8*k**2 - k**3 - 13*k**3.
-2*k*(k - 1)*(7*k - 2)
Find s such that 0*s + 14/5*s**4 + 4/5*s**2 + 0 - 18/5*s**3 = 0.
0, 2/7, 1
Let o be 8 - -3*(-24)/9. Factor 0*l - 2/9*l**4 + 0 + o*l**2 - 2/9*l**3.
-2*l**3*(l + 1)/9
Let l(d) = d**5 - d**3 + d**2 - 1. Let y(q) = 10*q**5 - 3*q**4 - 8*q**3 + 12*q**2 - 2*q - 9. Let v(n) = 18*l(n) - 2*y(n). What is a in v(a) = 0?
-1, 0, 1, 2
Factor 6*s**2 - 1 + 4*s + 0*s**2 - 7 - 2*s**2.
4*(s - 1)*(s + 2)
Let z be 3/2*(-8)/(-6). Suppose 4*x = 5 + 15. Factor 2 + 2*y**3 - 14*y**z + x*y**3 + y**3 + 4*y.
2*(y - 1)**2*(4*y + 1)
Suppose 65*v - 60*v - 15 = 0. Suppose 2/5*x**4 - 4/5 - 6/5*x**v + 6/5*x + 2/5*x**2 = 0. Calculate x.
-1, 1, 2
Factor 5/6*r**3 + 30 - 5/3*r**2 - 25/2*r.
5*(r - 3)**2*(r + 4)/6
Suppose -k - 12 = -3*z, -5*k = -z + 4*z + 6. Let d(m) = m**2 - z*m**2 - 4*m + 5*m**2 + 3. Let w(i) = -2*i**2 + 4*i - 2. Let c(f) = 4*d(f) + 5*w(f). Factor c(o).
2*(o + 1)**2
Let s**4 + 1/6*s**5 + 3/2*s**3 + 0*s + 2/3*s**2 + 0 = 0. Calculate s.
-4, -1, 0
Let c(k) = -2*k**5 + 20*k**4 + 14*k**3 + 8*k**2 - 8*k. Let v(q) = -q**5 + 13*q**4 + 9*q**3 + 5*q**2 - 5*q. Let z(i) = 5*c(i) - 8*v(i). Factor z(f).
-2*f**3*(f + 1)**2
Let m(z) = 7*z**2 - 3*z - 6. Let w(i) = -i**2 + i + 1. Let p(t) = m(t) + 5*w(t). Let c be p(-2). Factor -1/3*h - 1/3*h**c + 2/3*h**2 + 0.
-h*(h - 1)**2/3
Suppose 2*z + 4 = -4*h + 7*z, -4*h + 4*z = 0. Factor -2/3*u**3 + 0 + 0*u**2 + 8/9*u - 2/9*u**h.
-2*u*(u - 1)*(u + 2)**2/9
Suppose -3*s = 5*w - 45, -20 - 1 = -w - 3*s. Suppose -8 + 15*c + 2 - 3 - w*c**2 + 0 = 0. Calculate c.
1, 3/2
Let c(j) = j**5 + j**3 - j**2 - j + 1. Let a(t) = -2*t**5 - 6*t**4 + 4*t**2 + 4*t - 4. Let h(y) = a(y) + 4*c(y). Suppose h(n) = 0. What is n?
0, 1, 2
Suppose -2*o**2 + 8/3 + 8/3*o = 0. Calculate o.
-2/3, 2
Let j be 40/60*(7 - 1). Factor 6 + 2/3*h**2 + j*h.
2*(h + 3)**2/3
Let g(o) be the first derivative of o**6/36 - o**5/15 - o**4/24 + o**3/9 - 4. Find n, given that g(n) = 0.
-1, 0, 1, 2
Let w(i) be the second derivative of i**6/60 - 3*i**5/40 + i**4/24 + i**3/4 - i**2/2 + 20*i. Factor w(g).
(g - 2)*(g - 1)**2*(g + 1)/2
Let v(m) be the third derivative of -m**8/33600 + m**6/1200 + m**5/300 - m**4/8 - 3*m**2. Let q(y) be the second derivative of v(y). Factor q(r).
-(r - 2)*(r + 1)**2/5
Let k = 91 - 88. Let m be -3*(5/(-3) + 1). Let 0 - 2/3*t**m + 1/3*t**k + 1/3*t = 0. What is t?
0, 1
Factor 2*o**3 + 99 + 14*o**2 + 22*o**2 - 6*o**3 - 108*o + 9.
-4*(o - 3)**3
Suppose -5*z + 10 = -10. Let m(q) be the third derivative of 0 - 1/12*q**z - 1/60*q**5 - 1/6*q**3 + 0*q + q**2. Factor m(u).
-(u + 1)**2
Let k = 50 - 47. Let p(f) be the first derivative of -f**2 + 0*f + 4/3*f**k + 3 - 1/2*f**4. Factor p(s).
-2*s*(s - 1)**2
Let p(a) = 2*a**2 - 4*a + 2. Suppose 3*w + 4*b - 13 = 0, -2*w - 3 = -3*w - b. Let g(m) = m**2 - m. Let v(s) = w*p(s) + 4*g(s). Factor v(h).
2*(h - 1)*(h + 1)
Factor -64/19*d + 64/19 + 20/19*d**2 - 2/19*d**3.
-2*(d - 4)**2*(d - 2)/19
Let m be (-3)/(-3) - (-8)/2. Factor -3*u**4 - u**2 - 4*u + 4*u**4 + 12*u - m*u**3 + 0*u**4 - 4 + u**5.
(u - 1)**3*(u + 2)**2
Let r = -12 - -7. Let k = 7 + r. Factor 0*i**2 + 2*i**2 + i**2 + k*i.
i*(3*i + 2)
Let h(i) be the first derivative of 12/5*i + 3/20*i**4 + i**3 + 12/5*i**2 - 3. Factor h(w).
3*(w + 1)*(w + 2)**2/5
Let b be (-6 + 5)/(2 + 14/(-4)). Find c, given that 2/9*c + 0 - b*c**2 - 8/9*c**3 = 0.
-1, 0, 1/4
Let o be (-2)/(-2 + -2 - 8). Let l(w) be the second derivative of -w + 1/36*w**4 - o*w**2 + 0 + 0*w**3. Suppose l(t) = 0. What is t?
-1, 1
Let m(w) = w**3 - 4*w**2 - 3*w. Let r(n) = -n**3 + 4*n**2 + 4*n. Let p(y) = 4*m(y) + 3*r(y). Let p(f) = 0. Calculate f.
0, 4
Factor 5/4*w**5 - 5/2*w**2 - 15/4*w - 5/4 + 15/4*w**4 + 5/2*w**3.
5*(w - 1)*(w + 1)**4/4
Let a(u) = -u - 3. Let i be a(-8). Let n = 228 + -225. Find b, given that 0 + 3/4*b**n + 3/4*b**2 + 0*b - 3/4*b**i - 3/4*b**4 = 0.
-1, 0, 1
Let l(m) be the third derivative of m**5/72 + 5*m**4/72 + 5*m**3/36 + 42*m**2. Factor l(s).
5*(s + 1)**2/6
Let b(w) be the first derivative of -w**4/54 - w**3/27 - w + 2. Let d(u) be the first derivative of b(u). Factor d(q).
-2*q*(q + 1)/9
Suppose 17*k**2 - 15*k**2 - 56*k - 69 + 17 - 6*k**2 = 0. Calculate k.
-13, -1
Solve l**3 + 0 - 2/3*l**5 - 1/3*l**4 - 1/3*l + 1/3*l**2 = 0.
-1, 0, 1/2, 1
Suppose 0*s = s. Factor 42*d + 2 + 32*d**2 + s - 26*d.
2*(4*d + 1)**2
Let p = 4 + -7/2. Suppose 5*x = -2*x + 14. Find c, given that 1/2 + 0*c - p*c**x = 0.
-1, 1
Let f(q) = -q + 3. Let r be f(0). Let n be 10/35 + r/14. Factor -2*c + 2 + n*c**2.
(c - 2)**2/2
Factor -1 + 19/4*a**3 - 7/4*a**4 + 1/4*a**5 - 25/4*a**2 + 4*a.
(a - 2)**2*(a - 1)**3/4
What is i in 4/5*i + 0 - 1/5*i**2 = 0?
0, 4
Let w = 533/1452 + 6/121. Let n(q) be the first derivative of 0*q - w*q**4 + 4/9*q**3 - 1 + 1/6*q**2. Factor n(v).
-v*(v - 1)*(5*v + 1)/3
Let g(t) be the second derivative of -2*t**7/3 - 6*t**6/5 + 12*t**5/5 + 4