 15*u**2 + 6. Let p(q) = 6*l(q) - 7*x(q). Factor p(o).
3*o*(o + 1)*(9*o - 2)
Let u = -1 + 1. Suppose -2*l + 16 = 4*h + 2, 3*h - 5*l = 17. Factor 1/4*m**h + 0*m + 0 - 1/4*m**2 + u*m**3.
m**2*(m - 1)*(m + 1)/4
Suppose 8 - 4*m + 1/2*m**2 = 0. What is m?
4
Let l = 221/336 - -1/112. Solve -l*b**2 - 2/3 + 4/3*b = 0 for b.
1
Let w(h) be the second derivative of h**6/150 - h**5/100 - h**4/60 + h**3/30 + 4*h. Let w(i) = 0. Calculate i.
-1, 0, 1
Let f(c) = -25*c - 11. Let o(h) = 12*h + 5. Let j(r) = 6*f(r) + 13*o(r). Let w be j(1). Factor -2*p**3 + 4*p**3 - 4*p**3 - 6*p**w + 8*p**4.
-2*p**3*(p - 1)*(3*p - 1)
Let u(c) be the first derivative of -3*c**3 - 6*c**2 - 3*c + 1. Factor u(d).
-3*(d + 1)*(3*d + 1)
Let g(h) = 11*h**4 + 23*h**3 + 12*h**2 + 5*h. Let l(a) = 6*a**4 + 12*a**3 + 6*a**2 + 3*a. Let y(o) = 3*g(o) - 5*l(o). Suppose y(i) = 0. Calculate i.
-2, -1, 0
Let n(c) be the third derivative of c**6/480 + c**5/60 - 21*c**2. Factor n(l).
l**2*(l + 4)/4
Let d = -17 - -19. Let f(b) be the second derivative of -1/15*b**3 - 2*b - 1/30*b**4 + 0 + 0*b**d. Solve f(a) = 0 for a.
-1, 0
Let a = 19/6 + -5/2. Factor -a*v**2 + 1/3*v**3 + 4/3*v**4 + 0 + 0*v - v**5.
-v**2*(v - 1)**2*(3*v + 2)/3
Let l be -4*1/(-2) - (-25)/(-15). Find r, given that -l*r + 1/3*r**2 + 0 = 0.
0, 1
Let a(r) be the first derivative of -2*r**5/65 - r**4/13 + 21. Factor a(d).
-2*d**3*(d + 2)/13
Let c(i) be the first derivative of -1/30*i**5 + 1/9*i**3 - 1/18*i**4 + 2 + 0*i**2 + 1/45*i**6 - 2*i. Let o(r) be the first derivative of c(r). Factor o(w).
2*w*(w - 1)**2*(w + 1)/3
Let g be 1*((-14)/(-84) - 2/(-24)). Factor g*y - 1/4*y**3 - 3/4*y**2 + 3/4.
-(y - 1)*(y + 1)*(y + 3)/4
Let p(r) be the third derivative of r**6/900 + r**5/90 + 2*r**4/45 + 4*r**3/45 + 11*r**2. Factor p(s).
2*(s + 1)*(s + 2)**2/15
Let w(k) be the third derivative of -k**8/84 - 4*k**7/105 + k**6/10 + 4*k**5/15 - 2*k**4/3 + 2*k**2 - 6. Determine v so that w(v) = 0.
-2, 0, 1
Let m(l) be the first derivative of -4/3*l**3 + 4*l - 3/2*l**4 - 3 + 3*l**2. Factor m(t).
-2*(t - 1)*(t + 1)*(3*t + 2)
Let r(p) be the second derivative of 0 + 3*p + 1/5*p**5 + 0*p**2 - 1/3*p**4 - 4/3*p**3. Let r(q) = 0. Calculate q.
-1, 0, 2
Let q(w) = -w**3 + 7*w**2 - w + 6. Let g be q(7). Let d be 54/12 - (-4)/g. Factor -3/4*x**2 + 5/4*x - d.
-(x - 1)*(3*x - 2)/4
Suppose -2*v - 4*r + 5*r = -21, -3*v + 34 = -2*r. Let j = -3 + v. Factor -k**j - 3*k**3 + 2*k**3 - 2*k**3 - k + 5*k**3.
-k*(k - 1)**2*(k + 1)**2
Suppose 41 = 5*r - 19. Suppose -2*q = 2*g, q - 2*g = g + r. Factor -1/3*y**q + 0*y - 1/3*y**2 + 0.
-y**2*(y + 1)/3
Let c(a) be the second derivative of -a**6/30 + a**5/20 + a**4/6 + 8*a. Factor c(f).
-f**2*(f - 2)*(f + 1)
Let l = 9/62 - -2/93. Let t(y) be the first derivative of 0*y + 2/15*y**5 + 0*y**3 - l*y**4 + 0*y**2 - 2. Factor t(n).
2*n**3*(n - 1)/3
Factor 4/3 + 8/3*k + 4/3*k**2.
4*(k + 1)**2/3
Suppose 2*f - 5*f = 0. Let p(q) be the first derivative of 1/3*q**3 + 1/4*q**4 - 3 + f*q - q**2. Solve p(c) = 0 for c.
-2, 0, 1
Let b be 0 - ((-12)/3 + 2). Let o be (-1 - b)*(4 - 5). Determine i, given that -i**2 + 1/3*i**o + 2/3*i + 0 = 0.
0, 1, 2
Let g(a) be the second derivative of -a**5/4 - 5*a**4/4 + 5*a**3 + 20*a**2 + 3*a + 16. Factor g(s).
-5*(s - 2)*(s + 1)*(s + 4)
Let f(p) = 3*p - 5. Let h be f(5). Let c be (6/(-10))/((-2)/h). Let 1 - 4*b - 1 + 1 + c + b**2 = 0. Calculate b.
2
Let v(l) be the second derivative of 14*l**6/9 - 131*l**5/60 + 10*l**4/9 - 2*l**3/9 - l. What is f in v(f) = 0?
0, 1/4, 2/7, 2/5
Let c be 20/12 + 4/(-6). Let w(m) = -8*m**3 - 3*m**2 + 6*m - 1. Let u(d) = -d**3 - d. Let x(i) = c*u(i) + w(i). Factor x(r).
-(r + 1)*(3*r - 1)**2
Factor 3*m**5 - m**4 + 5*m**3 - 5*m**4 + 6*m**2 - 8*m**3.
3*m**2*(m - 2)*(m - 1)*(m + 1)
Let m(d) be the first derivative of -d**6/40 - d**5/60 + d**4/12 + d**2 + 1. Let f(s) be the second derivative of m(s). Factor f(c).
-c*(c + 1)*(3*c - 2)
Let l(c) be the third derivative of -c**11/1496880 + c**10/340200 - c**5/60 + c**2. Let t(f) be the third derivative of l(f). Suppose t(v) = 0. What is v?
0, 2
Find s such that -2/15*s**3 + 4/15 + 2/15*s - 4/15*s**2 = 0.
-2, -1, 1
Let a(p) be the first derivative of 0*p**2 + 1/2*p**4 - 6 + 0*p - 2/3*p**3. Solve a(d) = 0.
0, 1
Suppose 0 = 11*i + 9 - 31. Factor -2/13*k**3 + 6/13*k + 4/13*k**i + 0.
-2*k*(k - 3)*(k + 1)/13
Let x(m) be the third derivative of m**6/780 - m**5/390 - m**4/156 + m**3/39 - 8*m**2. Suppose x(t) = 0. What is t?
-1, 1
Let s(v) be the second derivative of 3*v + 0 - 11/2*v**4 - 5/2*v**3 - 9/4*v**5 + 3*v**2. Suppose s(h) = 0. Calculate h.
-1, -2/3, 1/5
Determine p, given that 0 - 2/3*p**2 + 2/3*p = 0.
0, 1
Suppose -3*o + 2*j = -0*j + 8, 5*o + 4*j = 16. Find r such that 0*r**4 + 1/2*r + 0*r**2 - r**3 + 1/2*r**5 + o = 0.
-1, 0, 1
Let z = 33 + -19. Suppose 5*o = -g + 6*g, -5*g = 2*o - z. Solve -1 + 21*d + 3*d**5 - 6*d**o - 6*d + 15*d**4 + 30*d**3 + 4 + 36*d**2 = 0.
-1
Let h(j) be the second derivative of -1/3*j**3 + 4/15*j**6 + 0 - 3/5*j**5 + 2/3*j**4 - j + 0*j**2 - 1/21*j**7. Factor h(r).
-2*r*(r - 1)**4
Solve -4*n**3 - 4*n + 239 - 239 - 8*n**2 = 0 for n.
-1, 0
Let i(r) = 2*r - 3*r**5 + 3*r**4 - 2*r + 11*r**3 - 2*r**3 - 9. Let n(p) = -p**5 + p**4 + 2*p**3 - 2. Let t(b) = 2*i(b) - 9*n(b). Suppose t(u) = 0. Calculate u.
0, 1
Let j(c) be the first derivative of c**3/7 - 9*c**2/7 + 15*c/7 + 9. Find w, given that j(w) = 0.
1, 5
Let 18/5*k**4 + 0 + 6/5*k**3 - 2*k**2 + 2/5*k = 0. What is k?
-1, 0, 1/3
Factor -32/7 + 0*s + 16/7*s**2 - 2/7*s**4 + 0*s**3.
-2*(s - 2)**2*(s + 2)**2/7
Let y(s) be the third derivative of 0*s**3 + 0 + 3*s**2 + 0*s**5 + 1/168*s**8 - 1/30*s**6 + 0*s + 1/12*s**4 + 0*s**7. Determine g so that y(g) = 0.
-1, 0, 1
Let p = 312/119 + -30/17. Determine v so that -p*v**2 + 0*v**3 + 3/7 + 0*v + 3/7*v**4 = 0.
-1, 1
Let q = 5/4 + -3/4. Let u(n) be the second derivative of -4/3*n**4 - n + 0 - 4/3*n**3 - q*n**2. Factor u(i).
-(4*i + 1)**2
Let b(o) be the first derivative of o**6/180 - 3*o**5/140 + o**4/42 + o**3/3 + 1. Let c(i) be the third derivative of b(i). Factor c(z).
2*(z - 1)*(7*z - 2)/7
Let d(y) be the second derivative of -8*y**5/15 + 2*y**4/3 - y**3/3 + y**2/2 - 2*y. Let a(c) be the first derivative of d(c). Find z such that a(z) = 0.
1/4
Let i(a) be the second derivative of -a**5/20 + a**4/4 + a**3/6 - 3*a**2/2 + 4*a. Let u be i(3). Factor 0 + u*j + 1/2*j**2.
j**2/2
Let p be (12/(-105))/(14/(-105)). Factor -4/7*l**3 + p*l - 4/7*l**2 + 6/7*l**4 - 2/7*l**5 - 2/7.
-2*(l - 1)**4*(l + 1)/7
Let m(g) be the first derivative of g**3/9 - 6. Factor m(h).
h**2/3
Suppose a - 4 = -a. Suppose 3*l + a*l - 22 = -4*z, 0 = 3*l + 3*z - 15. Factor l*d**2 + 2/3*d + 0.
2*d*(3*d + 1)/3
Let j(a) = 7*a**2 - 6*a - 1. Suppose -d = 4*d - 30. Let b(t) = -t**2 + t. Let m(i) = d*b(i) + j(i). Let m(z) = 0. Calculate z.
-1, 1
Let d(y) be the third derivative of -y**7/75 + 23*y**6/300 - 2*y**5/15 + y**4/15 + 8*y**2. Let d(l) = 0. What is l?
0, 2/7, 1, 2
Let w(r) = -4*r**3 + 4*r**2 + 11*r - 3. Let c(v) = -8*v**3 + 8*v**2 + 21*v - 5. Let i(y) = -3*c(y) + 5*w(y). Factor i(b).
4*b*(b - 2)*(b + 1)
Let d be ((-6)/(-12)*(0 - 2))/(-18). Let h(r) be the third derivative of -d*r**3 + r**2 - 1/36*r**4 + 0*r + 0 - 1/180*r**5. Factor h(w).
-(w + 1)**2/3
Let u(b) be the first derivative of -b**4 + 4/3*b**3 + 4*b**2 + 0*b - 4. Determine c so that u(c) = 0.
-1, 0, 2
Suppose 2 = 2*b - 4*g, 0 = 3*g - 0*g. Let l(a) be the first derivative of 0*a**2 + 1/2*a - b - 1/6*a**3. Factor l(w).
-(w - 1)*(w + 1)/2
Let z = 3 - 0. Let h be ((-3)/2)/(z/(-8)). Factor b**2 - 3*b**2 - 5*b**h - 4*b**3 + b**3 - 4*b**3.
-b**2*(b + 1)*(5*b + 2)
Let s(b) = 3*b**4 - 9*b**3 + 10*b**2 - 4*b + 4. Let q(k) = 6*k**4 - 18*k**3 + 21*k**2 - 9*k + 9. Let m(l) = -4*q(l) + 9*s(l). Factor m(o).
3*o**2*(o - 2)*(o - 1)
Let s be ((-10)/3 - 0)/(36/(-54)). Let o(b) be the first derivative of 0*b**2 + 2/9*b**3 + 5/12*b**4 + 0*b - 1/5*b**s + 1. Factor o(a).
-a**2*(a - 2)*(3*a + 1)/3
Suppose 3*s + 4*w = 5 - 19, 5*s + 4*w = -18. Let b(g) = 2*g**2 + 2*g - 1. Let f be b(s). What is a in 1 - a**f + 3*a - a**2 - 4*a + 2*a + 0*a**3 = 0?
-1, 1
Let n(g) be the first derivative of 3*g**8/280 - g**7/28 + 7*g**6/180 - g**5/60 + 2*g**3/3 - 3. Let q(c) be the third derivative of n(c). Factor q(r).
2*r*(r - 1)*(3*r - 1)**2
Suppose 0 = -k - 0