(x) be the second derivative of -147*x**5/20 - 7*x**4 - 2*x**3 - 2*x. Suppose l(v) = 0. What is v?
-2/7, 0
Let x(l) be the first derivative of 2/9*l**3 + 6 + 0*l + 0*l**2 + 1/6*l**4. What is a in x(a) = 0?
-1, 0
Let f = 18 - 13. Factor -2*y**3 + 0*y**f + 2*y**5 - 2*y**3 + 4*y**4 - 16*y**2 - 14*y - 4.
2*(y - 2)*(y + 1)**4
Suppose 0 = 2*a + 5*m - 26, -3*m = a + a - 18. What is u in 2/3*u + 17/3*u**4 + 0 + 5/3*u**5 + 7*u**a + 11/3*u**2 = 0?
-1, -2/5, 0
Let m(f) = 2*f - 2 - f**2 + 0*f - 2 + 2. Let o(j) = -3*j**2 + 7*j - 7. Let z(u) = -14*m(u) + 4*o(u). Factor z(c).
2*c**2
Let b(i) be the second derivative of -i**5/150 + i**4/60 + 2*i**3/15 + i**2/2 + i. Let s(j) be the first derivative of b(j). Factor s(m).
-2*(m - 2)*(m + 1)/5
Let w be -12*4*(-2)/6. Let n = w - 10. Factor -n*f**2 - 4 - 7*f + 2*f**4 + 2*f**3 + 17*f - 4*f**3.
2*(f - 1)**3*(f + 2)
Let p be 0/(-3) - (-6 + 3). Factor 4/15*v**2 + 0 + 2/15*v + 0*v**p - 2/15*v**5 - 4/15*v**4.
-2*v*(v - 1)*(v + 1)**3/15
Let w(y) be the second derivative of -y**5/120 + y**4/24 - 4*y**2 + 6*y. Let g(r) be the first derivative of w(r). Determine b, given that g(b) = 0.
0, 2
Factor 1/2*l**2 - 1/2 - 1/6*l + 1/6*l**3.
(l - 1)*(l + 1)*(l + 3)/6
Let u(b) be the first derivative of 2*b**3/15 + 3*b**2/5 - 8*b/5 - 2. Determine y so that u(y) = 0.
-4, 1
Suppose 6 + 2 = -2*k. Let t(a) = -a**3 + 2*a**2 + 3*a - 2. Let l(w) = -4*w**3 + 9*w**2 + 13*w - 9. Let n(y) = k*l(y) + 18*t(y). Let n(r) = 0. Calculate r.
-1, 0, 1
Let f(i) = -i - 5. Let g(z) = 2*z + 11. Let q(k) = 9*f(k) + 4*g(k). Let j be q(-3). Factor -j - 2*a**3 + a**3 + 4*a + 0*a - a.
-(a - 1)**2*(a + 2)
Let k(l) = -16*l**4 - 32*l**3 + 64*l**2 - 52*l + 20. Let p(u) = -u**4 - u**2 + u + 1. Let i(g) = k(g) - 20*p(g). Let i(q) = 0. Calculate q.
0, 2, 3
Let y(q) be the third derivative of q**7/120 + q**6/40 + q**5/80 - q**4/48 + q**2. What is t in y(t) = 0?
-1, 0, 2/7
Let v(c) = c + 1. Let l be v(2). Let b(i) = i**3 - 3*i**2 + 2*i - 1. Let j be b(l). Factor -3*n**4 + 2*n**5 - 3*n**j + 3*n**2 + 2*n - 6*n**3 + 5*n**3.
-n*(n - 1)*(n + 1)**2*(n + 2)
Let y(p) be the third derivative of p**5/600 + p**4/60 - p**3/12 + 56*p**2. Suppose y(u) = 0. Calculate u.
-5, 1
Suppose y - 3 = -2*a, 0*a = 2*a - y - 1. Let g be 0 - ((-3)/2 + a). Factor 15/4*b**3 + 3/4*b**5 + 11/4*b**4 + 0 + 9/4*b**2 + g*b.
b*(b + 1)**3*(3*b + 2)/4
Let k(p) be the third derivative of p**6/360 - p**5/30 + p**4/6 - p**3/6 - 3*p**2. Let y(t) be the first derivative of k(t). Determine o so that y(o) = 0.
2
Let 2/11*d**2 - 12/11*d + 18/11 = 0. What is d?
3
Let t(f) be the first derivative of 4*f**6/3 + 26*f**5/5 + 7*f**4/2 - 22*f**3/3 - 11*f**2 - 4*f + 11. Solve t(k) = 0.
-2, -1, -1/4, 1
Suppose -9*h + 4*h + 30 = 0. Suppose h*y - 2*y - 16 = -2*f, -4*y + 16 = f. Factor 1/2*d**4 - d**2 + f*d + 0*d**3 + 1/2.
(d - 1)**2*(d + 1)**2/2
Let z(w) be the third derivative of w**7/1155 + w**6/660 + 17*w**2. Factor z(h).
2*h**3*(h + 1)/11
Let t(l) = -l**2 + 2*l + 3. Let i be t(-3). Let d = i + 12. Suppose 0*w**2 + 4/7*w**4 - 2/7*w**3 + d*w + 0 - 2/7*w**5 = 0. Calculate w.
0, 1
Suppose 4*m = 2*m. Let u(s) be the third derivative of 0*s + m + s**2 + 1/30*s**5 - 1/3*s**3 + 0*s**4. Determine t so that u(t) = 0.
-1, 1
Let k(j) be the third derivative of -j**7/105 + j**6/20 - j**5/15 + 14*j**2. Solve k(x) = 0 for x.
0, 1, 2
Suppose -4*w = -6*w + 18. Suppose -w*r = -12*r. Suppose -1/4*t**2 + 1/4*t**3 + r*t + 0 = 0. What is t?
0, 1
Let c(i) be the second derivative of i**8/6720 - i**7/2520 - i**6/720 + i**5/120 + i**4/12 - 2*i. Let u(j) be the third derivative of c(j). Factor u(l).
(l - 1)**2*(l + 1)
Let m(p) be the second derivative of p**5/70 + p**4/21 - 7*p. Solve m(v) = 0 for v.
-2, 0
Let r(t) = 7*t**2 - 52*t + 192. Let o(v) = -8*v**2 + 53*v - 192. Let p(j) = 4*o(j) + 5*r(j). Suppose p(l) = 0. Calculate l.
8
Suppose -8/9 - 2/9*o**3 - 16/9*o - 10/9*o**2 = 0. What is o?
-2, -1
Let f = 41 + -39. Factor 10/3*x**f + 0*x - 20/3*x**3 - 4/3*x**5 - 1/3 + 5*x**4.
-(x - 1)**4*(4*x + 1)/3
Let k(v) be the second derivative of 0 - 1/80*v**5 + v + 0*v**2 + 1/48*v**4 + 0*v**3. Let k(b) = 0. What is b?
0, 1
Find f, given that 2/3*f**4 - 1/2*f**5 + 1/6*f + 1/3*f**3 - 2/3*f**2 + 0 = 0.
-1, 0, 1/3, 1
Let j = -17 - -24. Suppose -2*p = 3 - j. Find m, given that 0 - 2/7*m**4 + 0*m + 2/7*m**3 - 2/7*m**5 + 2/7*m**p = 0.
-1, 0, 1
Let n = 1 + 9. Let i be n*((-24)/9 + 3). Factor 0 - 4*b**3 - 2*b**2 - b**5 - 1/3*b - i*b**4.
-b*(b + 1)**3*(3*b + 1)/3
Let f = 2/57 + 41/456. Let v(o) be the second derivative of -2*o - f*o**2 + 0 - 1/24*o**4 - 1/8*o**3. Suppose v(b) = 0. Calculate b.
-1, -1/2
Let k(l) be the third derivative of l**7/315 - l**6/60 + l**5/90 + l**4/12 - 2*l**3/9 + 6*l**2. Find q, given that k(q) = 0.
-1, 1, 2
Let a(h) be the third derivative of 3*h**2 + 3/160*h**6 + 0*h**5 - 1/8*h**4 + 0*h**3 + 1/280*h**7 + 0 + 0*h. Suppose a(i) = 0. What is i?
-2, 0, 1
Suppose -3*a + 2*a + 0*a = 0. What is x in a - 2/5*x**2 + 0*x + 2/5*x**4 + 0*x**3 = 0?
-1, 0, 1
Let y(x) = 11*x**2 - 20*x + 7. Let b(h) = 6*h**2 - 10*h + 4. Let z(n) = -7*b(n) + 4*y(n). Determine i so that z(i) = 0.
0, 5
Let d(q) be the third derivative of -q**5/120 - q**4/48 + q**3/6 - 18*q**2. Factor d(u).
-(u - 1)*(u + 2)/2
Let u(m) = 5*m**2 - 10*m + 4. Let y(i) = -6*i**2 + 9*i - 3. Let p(j) = 3*u(j) + 4*y(j). Find s such that p(s) = 0.
0, 2/3
Solve 6/5 + 3/5*q - 3/5*q**2 = 0 for q.
-1, 2
Let l(o) = 5*o**3 + 30*o**2 - 86*o + 40. Let p(n) = n**3 + 6*n**2 - 17*n + 8. Let q(h) = 2*l(h) - 11*p(h). Factor q(i).
-(i - 1)**2*(i + 8)
Let l be 2/(-8 - -2) - (-55)/75. Suppose -l*n**5 + 0*n**2 + 0*n**3 + 0*n + 0 + 2/5*n**4 = 0. What is n?
0, 1
Suppose 4*o - 4 = 2*o, -3*f = 5*o - 13. Suppose -g + 1 + f = 0. Factor 4*k**2 - k**2 - 8 + g + 3*k.
3*(k - 1)*(k + 2)
Let w(l) be the second derivative of l**8/336 + 5*l**2/2 - 5*l. Let j(r) be the first derivative of w(r). Factor j(k).
k**5
Let x(b) = b**4 - 17*b**3 - 37*b**2 - 12*b. Let q(a) = -a**4 + 11*a**3 + 25*a**2 + 8*a. Let d(y) = 7*q(y) + 5*x(y). Factor d(h).
-2*h*(h + 1)**2*(h + 2)
Let z = 66 - 40. Suppose 0 = -4*h - 3*y - 7, -5*y - 7 = -4*h + z. What is s in 2/3*s - 2/3*s**h + 0 = 0?
0, 1
Let b = 24 + -21. Let t be (-2)/1 - (-36)/6. Let 1/2*f**t + 1/2*f**b + 0 + 1/6*f**5 + 0*f + 1/6*f**2 = 0. What is f?
-1, 0
Let i(g) be the first derivative of 3*g**4 + 52*g**3/3 - 20*g**2 + 6. Find w, given that i(w) = 0.
-5, 0, 2/3
Let i(v) be the first derivative of 7*v**6/4 - 18*v**5/5 - 3*v**4/2 + 7. Factor i(o).
3*o**3*(o - 2)*(7*o + 2)/2
Let r = 2/27 - -16/27. Factor -r*h**2 + 0 + 2/3*h.
-2*h*(h - 1)/3
Let g = -27 + 34. Suppose 2*f + 1 = g. Factor 1/3*v**2 + 4/3*v**5 + 11/3*v**4 + 3*v**f - 1/3*v + 0.
v*(v + 1)**3*(4*v - 1)/3
Suppose n - 3*l + 28 = 0, n + 2*l - 6*l + 24 = 0. Let x be n/24 - 2*-1. Factor 0 + 1/6*g + 1/6*g**3 + x*g**2.
g*(g + 1)**2/6
Let i = 15 - 11. Let g(d) be the third derivative of 0*d**3 + 0 + 0*d**6 + 0*d + 0*d**i + 1/315*d**7 + 2*d**2 - 1/90*d**5. Factor g(w).
2*w**2*(w - 1)*(w + 1)/3
Let i(j) be the second derivative of j**8/840 - j**7/105 + j**6/60 + j**5/15 - j**4/3 + j**3/6 + j. Let w(h) be the second derivative of i(h). Factor w(d).
2*(d - 2)**2*(d - 1)*(d + 1)
Let y(g) be the first derivative of g**4/16 - g**2/8 + 1. What is f in y(f) = 0?
-1, 0, 1
Let o(j) = -j**2. Let v(r) = r**2 + 20*r + 20. Let f(b) = 4*o(b) - v(b). Factor f(x).
-5*(x + 2)**2
Let m(a) be the third derivative of a**7/350 + 3*a**6/100 + 13*a**5/100 + 3*a**4/10 + 2*a**3/5 + 7*a**2. Factor m(k).
3*(k + 1)**2*(k + 2)**2/5
Let g(m) = -m**2 - 3*m + 4. Let c be g(-4). Find z such that 2*z**3 + 2*z**4 + 2*z**4 + c*z**4 + z**5 - z**4 = 0.
-2, -1, 0
Suppose 2*y + 4*u - 28 = -2*y, -y - 3*u + 11 = 0. Factor 5*m - 4*m - y*m**3 + 4*m**3.
-m*(m - 1)*(m + 1)
Factor 0 + 33/5*r**4 + 27/5*r**2 - 9*r**3 - 6/5*r - 9/5*r**5.
-3*r*(r - 1)**3*(3*r - 2)/5
Let g be -6*(-1)/3 + 0/(-2). Factor 0 - 1/4*q**3 + 0*q - 1/2*q**g.
-q**2*(q + 2)/4
Let p(y) be the first derivative of -4*y**6/9 + 4*y**5/5 + 5*y**4/8 + y**3/9 + 72. Determine t so that p(t) = 0.
-1/4, 0, 2
Let k(x) be the second derivative of -x**4/60 + x**2/10 + 6*x. Factor k(u).
-(u - 1)*(u + 1)/5
Let v(d) be the first derivative of 1/6*d**3 - 1/2*d**2 + 3*d - 1/48*d**4 + 2. Let m(z) be the first derivative of v(z). Solve m(x) = 0.
2
