(q).
(q - 2)**3*(q + 1)*(q + 2)/4
Let l(k) be the second derivative of k**8/1680 - k**7/420 + k**6/320 - k**5/480 - k**4/4 - k. Let w(q) be the third derivative of l(q). Factor w(h).
(h - 1)*(4*h - 1)**2/4
Let g = 638/3 - 212. Determine f, given that 2/3*f**5 - 2/3*f**4 + g*f**2 + 0 - 2*f**3 + 4/3*f = 0.
-1, 0, 1, 2
Let s(l) be the second derivative of l**6/135 - l**5/18 + 2*l**4/27 - 32*l. Factor s(u).
2*u**2*(u - 4)*(u - 1)/9
Determine q so that -12/5*q + 0*q**2 - 6/5 + 12/5*q**3 + 6/5*q**4 = 0.
-1, 1
Let i be (-4)/6*(-9)/12. Suppose 0 = -x - 5*x. Let 1/2*o**3 - 1/2*o**5 + i*o**2 - 1/2*o**4 + x + 0*o = 0. What is o?
-1, 0, 1
Suppose 4*t - 4 = 8*t. Let w(g) = 8*g**5 + 4*g**4 - 4*g**3 + 14*g**2 - 4*g + 2. Let y(i) = -i**5 - i**4 - i**2 + i. Let z(u) = t*w(u) - 10*y(u). Factor z(n).
2*(n - 1)*(n + 1)**4
Suppose -g = 3*g. Suppose 2*t - 4 + g = 0. Factor 2/3*s**t - 2/3*s**3 + 0 + 0*s.
-2*s**2*(s - 1)/3
Let o(k) be the first derivative of -k**6/12 + 3*k**5/10 - k**4/8 - k**3/2 + k**2/2 + 21. What is a in o(a) = 0?
-1, 0, 1, 2
Suppose 2*v + 0*r + 2*r + 2 = 0, -4*r = -4*v + 20. Let z be -2 + (-8)/(-1) + -2. Factor 2/3*d + 0 - 2/3*d**z + v*d**3 - 2*d**2.
-2*d*(d - 1)**3/3
Suppose 12*m**5 + 26*m**2 + 39*m**3 + 8*m + 54*m**4 + 21*m**3 - 10*m**4 + 10*m**2 = 0. What is m?
-1, -2/3, 0
Let a(q) be the second derivative of q**7/14 - q**6/10 - 9*q**5/20 + 5*q**4/4 - q**3 + 22*q. Solve a(f) = 0.
-2, 0, 1
Factor -36*y**2 - 14*y**4 - 32*y - 2*y**5 + 2*y**3 + 0*y**3 - 8 - 14*y**2 - 40*y**3.
-2*(y + 1)**3*(y + 2)**2
Let f(l) be the third derivative of -l**5/30 + 4*l**2. Solve f(r) = 0.
0
Let r(s) be the first derivative of s**8/2016 + s**7/420 - s**5/90 - 3*s**2/2 + 1. Let i(p) be the second derivative of r(p). Factor i(m).
m**2*(m - 1)*(m + 2)**2/6
Let g be 4*((-10)/4 - -3). Factor 3*x**2 + 0*x**2 + 2*x**2 + 6*x**3 - x**g + 2*x**4.
2*x**2*(x + 1)*(x + 2)
Solve -60*y + 405/4*y**4 - 90*y**2 + 0*y**3 + 243/4*y**5 - 12 = 0.
-2/3, 1
Let j(w) = 2*w. Let m(q) = -4*q**2 - 8*q + 20. Let b(n) = 4*j(n) - m(n). Factor b(c).
4*(c - 1)*(c + 5)
Let z(t) be the first derivative of -4 - 1/8*t**2 - 1/12*t**3 + 1/20*t**5 + 1/16*t**4 + 0*t. What is r in z(r) = 0?
-1, 0, 1
Let w(x) = -x**3 - 10*x**2 + 10*x - 7. Let s be w(-11). Factor -s*z + 2*z - z**2 + 5*z + 0*z**2.
-z*(z - 3)
Let c(z) = -2*z**2 + 8*z - 4. Let b(j) = 0 + 2*j - 3 + 5*j + 24*j**2 - 25*j**2. Suppose -x = 3*x - 12. Let y(m) = x*c(m) - 4*b(m). Let y(q) = 0. What is q?
-2, 0
Let p be 0/(-3) + (-3 - -5). Let t(g) be the second derivative of 0*g**4 - 1/30*g**5 + 0 + 1/126*g**7 + 0*g**6 + 1/18*g**3 + g + 0*g**p. Solve t(h) = 0.
-1, 0, 1
Let w(f) = -f**3 - 2*f**2 + 6*f + 10. Suppose 0*z - 2*z = 6. Let j(m) = m + 1. Let o(p) = z*w(p) + 6*j(p). Factor o(k).
3*(k - 2)*(k + 2)**2
Suppose 2/5*b**4 + 2/5*b**2 + 6/5*b - 6/5*b**3 - 4/5 = 0. Calculate b.
-1, 1, 2
Let j(y) be the second derivative of 0*y**3 + 1/168*y**7 + 7*y + 3/80*y**5 + 0*y**2 - 1/48*y**4 + 0 - 1/40*y**6. Factor j(l).
l**2*(l - 1)**3/4
Let h be (-8*(-8)/((-320)/(-15)))/1. Solve 3/2*v**3 - h*v**2 + 0 + 3/2*v = 0.
0, 1
Let i(a) be the second derivative of a**4/14 - 32*a**3/21 - 11*a**2/7 + 11*a. Factor i(b).
2*(b - 11)*(3*b + 1)/7
Let z = 10 - 10. Suppose -6 = -6*y + 4*y. Factor -2/7*x**5 + 0*x**2 + 0 - 2/7*x**y - 4/7*x**4 + z*x.
-2*x**3*(x + 1)**2/7
Suppose 2*v = -3*j + 16, -5*j - v = -0*j - 15. Factor 22*w + 2*w**4 + 24*w**2 + 12*w**3 - 4*w**2 - 6*w + 4*w**j.
2*w*(w + 2)**3
Let a(z) be the second derivative of z**6/60 + z**5/20 - z**4/24 - z**3/6 + 7*z. Factor a(h).
h*(h - 1)*(h + 1)*(h + 2)/2
Let k be (9/6)/((-3)/(-14)). Suppose 2*m - k*m = 0. Let -4/5*c - 2/5*c**2 + m = 0. Calculate c.
-2, 0
Let m(p) be the third derivative of -p**8/20160 + p**6/720 + p**5/180 + p**4/8 - 6*p**2. Let j(o) be the second derivative of m(o). Factor j(z).
-(z - 2)*(z + 1)**2/3
Factor -2/9*h**3 + 8/9*h - 16/9 + 4/9*h**2.
-2*(h - 2)**2*(h + 2)/9
Let h(r) be the first derivative of 5*r**6/2 - 37*r**5/15 - 19*r**4/4 + 41*r**3/9 + 2*r**2 - 4*r/3 + 21. Suppose h(x) = 0. What is x?
-1, -2/5, 2/9, 1
Suppose 10/13*h**3 - 4/13*h**2 + 0 - 16/13*h - 2/13*h**4 = 0. What is h?
-1, 0, 2, 4
Find a such that 2*a**2 + 1/2*a**3 + 0*a + 0 = 0.
-4, 0
Factor 0 + 1/8*b**2 + 0*b.
b**2/8
Let z(n) be the third derivative of n**8/5040 - n**7/1260 - n**5/12 - 3*n**2. Let y(m) be the third derivative of z(m). Determine r, given that y(r) = 0.
0, 1
Suppose 2*q = 5*i, -q + 3*i - 2*i = 0. Let x be -1 + 5 + -1 + -1. Factor 2*m + x*m**2 - m + q*m + m.
2*m*(m + 1)
Let w be (-16*2/(-130))/(14/35). Factor -w*a**2 - 8/13*a - 2/13.
-2*(2*a + 1)**2/13
Let i(m) be the first derivative of -3*m - 1/105*m**6 + 4/21*m**3 + 1/14*m**5 + 3 + 0*m**2 - 4/21*m**4. Let q(o) be the first derivative of i(o). Factor q(h).
-2*h*(h - 2)**2*(h - 1)/7
Suppose d + 9*x = 4*x + 13, -3*d + x + 7 = 0. Suppose 0 = d*n + n - 16. Let -2/7 + 18/7*i - 54/7*i**2 + 62/7*i**3 - 24/7*i**n = 0. What is i?
1/4, 1/3, 1
Let w(n) be the third derivative of n**9/30240 + n**5/60 + 2*n**2. Let o(a) be the third derivative of w(a). Factor o(p).
2*p**3
Let a(t) be the second derivative of 3*t**5/40 + 5*t**4/18 + 13*t**3/36 + t**2/6 + 6*t. Find c, given that a(c) = 0.
-1, -2/9
Suppose -5*j - q - 2*q + 18 = 0, 4*j - 32 = 2*q. Solve 4*p**5 - 2*p**3 - 3*p**5 + 6*p + 6*p**4 - j*p**2 - 2*p - 3*p**5 = 0.
-1, 0, 1, 2
Factor 2*n**2 - 2 + 1/2*n**3 - 1/2*n.
(n - 1)*(n + 1)*(n + 4)/2
Let c(g) be the second derivative of -2*g - 2/9*g**3 + 1/72*g**4 + 0 + 4/3*g**2. Determine u so that c(u) = 0.
4
Let l(j) = -j**2 + 9*j + 3. Let p be l(9). Solve 2*b**3 + 0*b - 2*b - 18*b**p + 32*b**4 - 14*b**2 = 0.
-1/4, 0, 1
Let q(a) be the second derivative of -7*a**4/6 - 26*a**3/3 + 8*a**2 + 6*a. Factor q(z).
-2*(z + 4)*(7*z - 2)
Let n(z) be the second derivative of z**5/10 - 7*z**4/36 - 2*z**3/9 + 3*z**2/2 - 2*z. Let l(s) be the first derivative of n(s). Determine a so that l(a) = 0.
-2/9, 1
Let c(i) = -i**4 - 11*i**3 - 10*i**2 - 4*i - 4. Let v(o) = o**4 + o**3 - o - 1. Let k(r) = c(r) - 4*v(r). Find q, given that k(q) = 0.
-2, -1, 0
Let l be -3 + 10 - 1/1. Let w be -4*(-1 + 3/l). Find x such that 12/5*x + 2/5*x**w + 18/5 = 0.
-3
Suppose 63 = -3*w + 3*s, s - 5*s = -16. Let i be 17/w*1/(-5). Suppose 0 - i*m**2 + 1/5*m = 0. Calculate m.
0, 1
Let i(a) be the first derivative of 2/3*a**3 + a**2 + 6 - 4*a. Determine r, given that i(r) = 0.
-2, 1
Let b(j) be the third derivative of -j**8/112 - j**7/70 + j**6/40 + j**5/20 + 2*j**2. Find a, given that b(a) = 0.
-1, 0, 1
Suppose -9*o + 8*o - 3 = 0. Let q be o - 1 - 341/(-55). Solve -2/5*b + 0 - 9/5*b**3 - q*b**2 = 0.
-1, -2/9, 0
Suppose -5*m + 21 = 4*q, 3 - 5 = -q + 2*m. Let u be q/(-16)*8/(-6). Determine o, given that u*o**2 + 0 + 1/3*o = 0.
-1, 0
Let t(z) = 3*z - 3. Let p be t(6). Suppose -6*w + p = -w. Factor -2*s + 0*s + w*s + s**2.
s*(s + 1)
Let p(i) be the second derivative of -i**5/180 - i**4/36 + i**2/2 + i. Let k(s) be the first derivative of p(s). Suppose k(w) = 0. Calculate w.
-2, 0
Let v = -37 + 113/3. Find n such that -17/3*n**3 - 11/3*n - v - 5/3*n**4 - 7*n**2 = 0.
-1, -2/5
Let k be 2/6*9/12. Let x = -8 + 10. Let k*h**4 - 1/4*h**x + 0 + 1/4*h**3 - 1/4*h = 0. What is h?
-1, 0, 1
Find n such that 23*n - 26*n + 5*n**4 - 32*n - 25*n**3 + 10 + 45*n**2 = 0.
1, 2
Let w(h) be the second derivative of h**6/35 + 33*h**5/70 + 5*h**4/2 + 25*h**3/7 - 36*h. Factor w(n).
6*n*(n + 1)*(n + 5)**2/7
Let w(j) be the first derivative of -j**6/180 + j**4/12 + 2*j**3/3 + 1. Let h(f) be the third derivative of w(f). Let h(b) = 0. What is b?
-1, 1
Let p(c) be the second derivative of -c**4/4 - 2*c**3 - 6*c**2 - 19*c. Suppose p(h) = 0. What is h?
-2
Let b be 6/(-27) - (-220)/18. Factor -b*t**2 - 2 - 38*t**3 - 5*t**5 - 22*t**4 - t - 12*t - 20*t**2.
-(t + 1)**4*(5*t + 2)
Factor 1/2*q**4 - 1/2*q**2 + 0*q + 0 + 0*q**3.
q**2*(q - 1)*(q + 1)/2
Factor g**3 + 8*g + 5*g**2 + 2 - 3 + 6 - 1.
(g + 1)*(g + 2)**2
Suppose -2/9*u**3 + 0*u**2 + 2/9*u**4 + 0*u + 0 = 0. Calculate u.
0, 1
Let u be -9*(4/(-3) - 0). Suppose -3*g + 7*g = u. Solve 3*v**2 - 1 - 2 - g*v + 0*v**3 - v**3 + 4 = 0 for v.
1
Let c = 159/194 + 4/291. What is w in -c*w**3 - 1/2*w**2 + 0 + 1/3*w = 0?
-1, 0, 2/5
Solve -50 - 43 - m**2 + 2*m + 93 = 0.
0, 2
Determine g, given that -6/5*g**2 - 3/5*g**3 + 3/5*g + 6