 - 1)**3*(3*t + 2)/3
Let a(q) = -15*q**2 - 1. Let u be a(-1). Let y = u - -18. Factor -5/3*m**3 + 1/3*m**5 + 1/3*m**y + 4/3 + 8/3*m - 1/3*m**4.
(m - 2)**2*(m + 1)**3/3
Let i(g) = -3*g**4 + 9*g**3 - 11*g**2 + 5*g. Let o(s) = s**2 - s. Let w(a) = -i(a) - 5*o(a). Find q, given that w(q) = 0.
0, 1, 2
Let i = -1 - -4/3. Let t(h) = -3*h**3 - h**2 - h - 1. Let k be t(-1). Factor i*q**k + 2/3 - q.
(q - 2)*(q - 1)/3
Let d(n) be the second derivative of -1/12*n**3 + 1/12*n**4 + 0*n**2 + 0 + 6*n - 1/40*n**5. Factor d(o).
-o*(o - 1)**2/2
Factor 0*f - 1/6*f**3 + 0 - 1/3*f**2.
-f**2*(f + 2)/6
Factor -20/9*a**2 + 0 + 2/3*a + 2/9*a**5 - 4/3*a**4 + 8/3*a**3.
2*a*(a - 3)*(a - 1)**3/9
Determine r, given that -7/2*r - 1/2*r**2 - 3 = 0.
-6, -1
Let l(x) = 19*x**2 + 3*x - 8. Let z(c) = -c**2 + 7*c - 3. Let g be z(5). Let b(s) = 10*s**2 + 2*s - 4. Let f(n) = g*b(n) - 4*l(n). Factor f(y).
-2*(y - 1)*(3*y + 2)
Let k(m) = -6*m + 8. Let s(v) = -4*v + 5. Let q(l) = 5*k(l) - 8*s(l). Let w be q(1). Factor -2*z**2 - z**2 - w*z + z**2.
-2*z*(z + 1)
Suppose 1 = s + 7. Let l be s/(-12) + (-5)/(-2). Factor 3/2*w**2 + 1/2*w**l + 1/2 + 3/2*w.
(w + 1)**3/2
Let f be (-2)/4*(3 - 3). Let v = 9/2 + -25/6. Factor -1/3*r**2 + v*r**4 + f*r + 0 + 0*r**3.
r**2*(r - 1)*(r + 1)/3
Let t(x) = 13*x**4 + 15*x**3 + 13*x**2 - 11*x. Let o(a) = -a**4 - a**3 - a**2 + a. Let j(f) = -22*o(f) - 2*t(f). Factor j(s).
-4*s**2*(s + 1)**2
Let t(j) be the second derivative of -j**7/21 + 2*j**6/3 - 4*j**5 + 40*j**4/3 - 80*j**3/3 + 32*j**2 - 9*j. What is o in t(o) = 0?
2
Let t be (-2)/4*(-20)/5. Suppose -h + 7*h + 7*h**2 - 2 + h**t = 0. Calculate h.
-1, 1/4
Let h be -10*2/12 + 2. Let r(d) be the first derivative of h*d**6 + 0*d + 0*d**2 + 3/2*d**4 + 6/5*d**5 - 2 + 2/3*d**3. Factor r(w).
2*w**2*(w + 1)**3
Let n(s) be the first derivative of s**6/21 + 2*s**5/7 + 9*s**4/14 + 2*s**3/3 + 2*s**2/7 - 8. Suppose n(m) = 0. What is m?
-2, -1, 0
Suppose -2*d = -2*x - 14, -5*d - 3*x + 9 = -2. Suppose 2*h - 3*h**2 - 1/2*h**d + 2*h**3 - 1/2 = 0. Calculate h.
1
Suppose 5*h = h. Suppose 2*y + h*y = 6. What is z in -y*z + 5*z + 4 - z**2 - z**2 - 2*z**3 - 2 = 0?
-1, 1
Let f(r) be the first derivative of r**6/3 + 8*r**5/5 + 3*r**4 + 8*r**3/3 + r**2 + 4. What is n in f(n) = 0?
-1, 0
Let j(n) be the first derivative of n**4/8 + n**3/4 + n**2/8 + 3. Determine a, given that j(a) = 0.
-1, -1/2, 0
Let n(p) be the first derivative of -p**4/4 + 2*p**3/3 - p**2/2 + 13. Suppose n(g) = 0. What is g?
0, 1
Let n = 1213 + -181949/150. Let w(j) be the third derivative of 0*j + n*j**5 + 2*j**2 + 0 + 1/15*j**3 - 1/30*j**4. Factor w(u).
2*(u - 1)**2/5
Let n(a) be the first derivative of a**6/4 - 21*a**5/10 + 57*a**4/8 - 25*a**3/2 + 12*a**2 - 6*a - 21. What is t in n(t) = 0?
1, 2
Let q(g) = -2*g - 10. Let h be q(-9). Factor -32*i + 8*i**3 + 12*i + 6*i**2 - 5*i**4 - h + 5*i**3.
-(i - 2)**2*(i + 1)*(5*i + 2)
Let s(h) be the second derivative of -h**7/10080 + h**6/960 - h**5/240 - h**4/4 - 3*h. Let k(u) be the third derivative of s(u). Factor k(w).
-(w - 2)*(w - 1)/4
Let l(x) be the first derivative of -13/4*x**2 - 9/8*x**4 + x + 4*x**3 + 2. What is o in l(o) = 0?
1/3, 2
Let u(s) be the third derivative of 1/420*s**6 + 0 - 2*s**2 + 0*s**5 + 0*s + 0*s**3 + 0*s**4. Factor u(n).
2*n**3/7
Let x(f) be the second derivative of -2/3*f**3 - 11/12*f**4 + 2*f**2 + 3/10*f**5 + 3/10*f**6 + 2*f + 0. Suppose x(k) = 0. Calculate k.
-1, 2/3
Let i(a) be the second derivative of a**4/8 - a**3/2 - 9*a**2/4 + 13*a. Factor i(s).
3*(s - 3)*(s + 1)/2
Factor 2/3*b**2 - 1/3*b + 1/3*b**3 - 2/3.
(b - 1)*(b + 1)*(b + 2)/3
Let y be (-138)/(-42) - 6/21. Let v = -4 + 6. Factor 2*t**3 + 3*t**3 - 6*t - 2 + v*t**2 + t**y.
2*(t - 1)*(t + 1)*(3*t + 1)
Let n(l) be the second derivative of l**6/45 - l**4/18 + 11*l. Let n(i) = 0. Calculate i.
-1, 0, 1
Let y(f) be the third derivative of 2*f**7/105 - f**6/15 + f**4/3 - 2*f**3/3 - 30*f**2. Factor y(t).
4*(t - 1)**3*(t + 1)
Let u(n) be the third derivative of n**8/1344 - n**7/840 - 7*n**6/480 + 13*n**5/240 - n**4/16 - 31*n**2. Factor u(p).
p*(p - 2)*(p - 1)**2*(p + 3)/4
Suppose 0 = s - 5*u, -4*s + 9*s = u + 24. Factor -4/9*j**3 + 2/9*j**s + 0*j**2 + 0*j**4 + 0 + 2/9*j.
2*j*(j - 1)**2*(j + 1)**2/9
Suppose 0 = -5*g + 3*j - 2, -15 = 3*g - 5*j - 1. Let z(w) be the first derivative of 0*w**3 - w - 1/8*w**4 + 3/4*w**g + 2. Find q, given that z(q) = 0.
-2, 1
Suppose m**2 - 2*m - 2*m**2 - m**2 + 0*m = 0. What is m?
-1, 0
Let k(v) be the third derivative of -2*v**7/105 - v**6/15 + v**4/3 + 2*v**3/3 - 5*v**2. Find o, given that k(o) = 0.
-1, 1
Suppose 0 = 2*b + b + 3*j - 3, 0 = 4*b - 2*j + 2. Solve b*s**2 - 2*s**2 + 1 + s**2 = 0.
-1, 1
Let h(g) be the second derivative of -g**7/2520 + g**6/360 - g**5/120 + g**4/4 - 2*g. Let y(p) be the third derivative of h(p). What is m in y(m) = 0?
1
Let q(a) be the third derivative of 1/525*a**7 + 0 + 0*a**3 - 2*a**2 + 0*a**4 + 0*a + 1/150*a**5 + 1/150*a**6. Factor q(k).
2*k**2*(k + 1)**2/5
Factor -19*p**3 + 18*p**3 + 4 + 5 - 15*p + 7*p**2.
-(p - 3)**2*(p - 1)
Factor 1/5 - 3/5*o - 4/5*o**2.
-(o + 1)*(4*o - 1)/5
Suppose 9 - 19 = -2*f. Suppose 1 = 3*u + 5*j, 0*j = -f*u - j + 9. Factor 0*s - 1/4*s**u + 1/4.
-(s - 1)*(s + 1)/4
Let d(f) be the first derivative of 3*f**4/4 + 4*f**3 + 15*f**2/2 + 6*f - 13. Factor d(i).
3*(i + 1)**2*(i + 2)
Let w be (-2)/(6/3) - -3. Let f be (6/(-2))/(6/(-4)). Let 0*a**5 - w*a**4 - 4*a**5 + 4*a**3 + 0*a**2 - f*a**2 + 4*a**2 = 0. What is a?
-1, -1/2, 0, 1
Let h(j) = j**3. Let l(s) = -6*s**2. Let x(y) = 2*h(y) + l(y). Factor x(m).
2*m**2*(m - 3)
Let l(z) = -z**2 - z - 6. Let x(o) = -7*o + 5*o - 17 + 0*o - 3*o**2. Let u = 18 - 29. Let w(q) = u*l(q) + 4*x(q). Factor w(j).
-(j - 2)*(j - 1)
Let g be 2/11*(8 - 6). Factor 8/11*b**4 + g*b**2 + 0 - 2/11*b + 14/11*b**3.
2*b*(b + 1)**2*(4*b - 1)/11
Let r = 4/99 + 83/396. Find g, given that 3*g + 2 - 3/4*g**3 + 1/2*g**2 - r*g**4 = 0.
-2, -1, 2
Find b, given that -8/7 + 2/7*b**2 + 8/7*b - 2/7*b**3 = 0.
-2, 1, 2
Let v(a) be the second derivative of -a**5/4 + 5*a**3/6 - 2*a. Factor v(n).
-5*n*(n - 1)*(n + 1)
Let n(u) = 8*u**2 + 79*u - 8. Let y be n(-10). Let 0*f - 2/7*f**y + 0 + 2/7*f**3 = 0. What is f?
0, 1
Let j(s) be the first derivative of s**3/6 - 3*s**2/2 + 9*s/2 - 4. What is x in j(x) = 0?
3
Let d(n) be the first derivative of 0*n**4 + 8 - 1/3*n**3 + 1/15*n**5 + 0*n - 1/3*n**2. Factor d(s).
s*(s - 2)*(s + 1)**2/3
Let o(z) be the first derivative of -z**4/30 - 2*z**3/9 + z**2/15 + 2*z/3 - 30. Find b, given that o(b) = 0.
-5, -1, 1
Let d(t) be the first derivative of 7*t**6/50 + 3*t**5/50 + 4*t + 1. Let s(j) be the first derivative of d(j). Find x such that s(x) = 0.
-2/7, 0
Factor 3/7 - 2/7*r - 1/7*r**2.
-(r - 1)*(r + 3)/7
Factor -5/2 - 5*r + 0*r**2 + 5*r**3 + 5/2*r**4.
5*(r - 1)*(r + 1)**3/2
Let c(t) = 4*t**4 - t**3 - 9*t**2 - 26*t - 4. Let g(n) = n**3 - n**2 + n. Let v(q) = 5*c(q) + 30*g(q). Solve v(l) = 0.
-2, -1, -1/4, 2
Let z(m) = -m + 6. Let v be z(5). Let f = -4 + 6. Find o such that v + o**3 + 3*o + 6*o**2 - 2*o**f - o**2 = 0.
-1
What is w in -2/5*w**3 - 8/5*w**2 + 36/5 + 6/5*w = 0?
-3, 2
Let -24/5*x**2 - 2/5*x**4 - 12/5*x**3 - 16/5*x + 0 = 0. What is x?
-2, 0
Determine z, given that -3*z**2 + 0*z**2 + 4*z - z = 0.
0, 1
Let b be -9 + 13 + (-46)/12. Let r(o) be the first derivative of -1/8*o**4 - 1/4*o**2 + 2/3*o**3 - 1/4*o + 2 - 7/20*o**5 + b*o**6. What is m in r(m) = 0?
-1, -1/4, 1
Let u(t) = -6*t + 1. Let p(j) = 5*j - 1. Let v(l) = -4*p(l) - 3*u(l). Let w be v(-1). Factor -i**3 - i**4 + i**w - 2*i**3 - i**2.
-i**2*(i + 1)**2
Let x(p) be the third derivative of -p**6/1080 + p**4/72 - p**3/3 + p**2. Let s(u) be the first derivative of x(u). Suppose s(b) = 0. What is b?
-1, 1
Determine n so that -81 + 513/2*n**2 + 183/2*n**3 + 405/2*n + 21/2*n**4 = 0.
-3, 2/7
Let a(n) be the second derivative of 0 - 3*n - 1/7*n**2 + 1/42*n**4 + 0*n**3. Determine j, given that a(j) = 0.
-1, 1
Let s(o) be the first derivative of -3/7*o**3 - 3/7*o + 3/28*o**4 + 1 + 9/14*o**2. Factor s(y).
3*(y - 1)**3/7
Determine i, given that 0 + 0*i - 2/7*i**2 = 0.
0
Let k(z) be the first derivative of -1/9*z**3 - 1/18*z**4 + 2/3*z**2 + 2 - 2*z. Let t(u) be the first derivative of k(u). Let t(s) = 0. Calculate s.
-2, 1
Let w(o) be the first derivative of 0*o**3 - 1/6*o**4 -