 given that b(j) = 0.
2/7, 1
Let v(x) be the second derivative of 1/27*x**3 + 1/135*x**6 + 5*x + 1/30*x**5 + 1/18*x**4 + 0*x**2 + 0. Suppose v(l) = 0. Calculate l.
-1, 0
Solve 2/9*l - 2/9*l**3 + 0 + 0*l**2 = 0.
-1, 0, 1
Let d = -3 + 3. Let x(t) be the first derivative of 0*t**3 + 1/22*t**4 + 2 + 0*t - 2/55*t**5 + d*t**2. Factor x(g).
-2*g**3*(g - 1)/11
Let l = 85 + -337/4. Let k(y) be the first derivative of 3/4*y**2 + 3/10*y**5 + 1/4*y**6 + 3/2*y - y**3 + 1 - l*y**4. Suppose k(b) = 0. What is b?
-1, 1
Let k(n) be the first derivative of -n**6/120 - n**5/20 - n**4/8 + 4*n**3/3 + 2. Let a(z) be the third derivative of k(z). Solve a(q) = 0.
-1
Let a = -1 + 4. Suppose a*y = 5*y. Factor -1/5*f**2 + y + 1/5*f**4 + 1/5*f - 1/5*f**3.
f*(f - 1)**2*(f + 1)/5
Let t(k) = k**2 + k + 2. Let v be t(-2). Suppose -2*j = v, -3*j - 5 = q - 1. Determine p, given that 0 + 8/9*p**q + 2/9*p = 0.
-1/4, 0
Let x = -63/4 + 16. Factor 1/4*k + 1/4*k**2 - x - 1/4*k**3.
-(k - 1)**2*(k + 1)/4
Let i(h) be the second derivative of -1/60*h**5 + 5*h + 1/18*h**3 + 0 + 1/90*h**6 - 1/12*h**4 + 1/3*h**2. Factor i(f).
(f - 2)*(f - 1)*(f + 1)**2/3
Suppose 5 = v - 0. Let 0*d**4 - 2*d**2 + d**3 + 3*d**2 - d**v - d**4 = 0. Calculate d.
-1, 0, 1
Suppose -5*f + 3*d + 22 = 0, 2*f + 3*f - 20 = 5*d. Let g(s) be the first derivative of 0*s - 2/25*s**f + 2 + 2/15*s**3 + 0*s**2 + 0*s**4. Factor g(h).
-2*h**2*(h - 1)*(h + 1)/5
Factor -4/3*s**2 + 4/3*s**4 + 1/3*s + 0 - 1/3*s**3.
s*(s - 1)*(s + 1)*(4*s - 1)/3
Let o(p) be the third derivative of -1/42*p**4 + 0 - 1/210*p**5 + 0*p + 0*p**3 + 5*p**2 + 1/420*p**6. Determine q, given that o(q) = 0.
-1, 0, 2
Let g(r) be the first derivative of -r**5/60 - r**4/12 + r**3/2 - 3*r**2/2 + 1. Let u(o) be the second derivative of g(o). Suppose u(s) = 0. Calculate s.
-3, 1
Let a(r) be the first derivative of -r**5/60 + r**4/24 - 3*r**2 + 6. Let s(b) be the second derivative of a(b). Factor s(g).
-g*(g - 1)
Let u(m) be the third derivative of m**8/10080 - m**7/840 + m**5/20 + 7*m**2. Let h(x) be the third derivative of u(x). What is k in h(k) = 0?
0, 3
Factor 0 - 4/11*i**4 + 0*i**3 + 2/11*i + 4/11*i**2 - 2/11*i**5.
-2*i*(i - 1)*(i + 1)**3/11
Let h(a) be the first derivative of -a**4/12 + a**3/2 - a**2 + 4*a - 5. Let k(i) be the first derivative of h(i). Factor k(z).
-(z - 2)*(z - 1)
Let m = -11 - -13. Let j(c) = -c**2 - 3*c. Let p(b) = 3*b**2 + 12*b. Let s(l) = m*p(l) + 9*j(l). Let s(u) = 0. What is u?
-1, 0
Let g = 36 + -33. Let u be (-27)/45 - 6/(-5). Determine q so that -6/5*q**4 - u*q**g + 0 + 3/5*q + 6/5*q**2 = 0.
-1, -1/2, 0, 1
Let 0 - v - 2*v**4 - 10/3*v**2 - 4*v**3 - 1/3*v**5 = 0. What is v?
-3, -1, 0
Let w(d) be the third derivative of d**8/336 + d**7/210 - d**6/120 - d**5/60 - 31*d**2. Find b, given that w(b) = 0.
-1, 0, 1
Let k(d) be the third derivative of -d**8/168 + 4*d**7/315 + 7*d**6/90 + 2*d**5/45 - d**4/12 + d**2 + 11. Find p, given that k(p) = 0.
-1, 0, 1/3, 3
What is b in -8*b - 26*b**2 - 12*b**3 + 0*b + 5*b**2 - 7*b**2 = 0?
-2, -1/3, 0
Let c be (-2 + 0)*4/(-96). Let d(u) be the second derivative of -2*u - c*u**4 + 0 + 0*u**3 - 1/30*u**6 + 0*u**2 - 1/10*u**5. Let d(m) = 0. Calculate m.
-1, 0
Let p = -15/2 - -8. Let y = -1 - -4. Determine k, given that 0 + 1/2*k**y + p*k + k**2 = 0.
-1, 0
Let y be (-1)/(-4) + -3*(-4)/48. Factor -1/4*w**3 + 0*w**2 + 0*w + y*w**4 - 1/4*w**5 + 0.
-w**3*(w - 1)**2/4
Let k = -339 - -3053/9. Find m, given that -k*m + 0 + 2/9*m**4 + 2/9*m**3 - 2/9*m**2 = 0.
-1, 0, 1
Let l(y) be the first derivative of -y**7/168 + y**6/240 + y**5/48 - y**4/48 + y**2 + 7. Let j(d) be the second derivative of l(d). Factor j(t).
-t*(t - 1)*(t + 1)*(5*t - 2)/4
Let u(x) be the first derivative of 11*x**3 + 39*x**2/2 + 6*x + 9. Factor u(o).
3*(o + 1)*(11*o + 2)
Let s = 1721 - 32692/19. Let i = s - 2/57. Determine k so that -i*k**3 - 1/3*k + 0 - 2/3*k**2 = 0.
-1, 0
Let j(t) be the third derivative of -t**6/420 - t**5/105 + t**4/84 + 2*t**3/21 - 4*t**2. Determine x so that j(x) = 0.
-2, -1, 1
Let f(n) be the first derivative of -n**4/6 - 4*n**3/9 + n**2/3 + 4*n/3 - 31. Let f(k) = 0. Calculate k.
-2, -1, 1
Let w be ((-16)/(-10))/((-2)/10). Let s = -6 - w. Factor s*t + 0*t + 5*t**2 - 3*t - 2*t**4 + t**5 - 3*t**2.
t*(t - 1)**3*(t + 1)
Let v(f) = -4*f**3 + 2*f - 2. Let x(z) = -13*z**3 - z**2 + 7*z - 7. Let t(b) = -14*v(b) + 4*x(b). Factor t(d).
4*d**2*(d - 1)
Let y(i) be the second derivative of i**3/6 + 2*i**2 - 2*i. Let d be y(0). Determine p, given that 0 + 2/9*p**3 + 4/9*p**2 - 2/9*p - 4/9*p**d = 0.
-1, 0, 1/2, 1
Let q(n) be the first derivative of -3*n**4/4 + 5. Factor q(a).
-3*a**3
Factor 1 - g - 11*g**4 - 1218*g**3 + 3*g**5 - 2*g**2 - 4*g**2 + 1232*g**3.
(g - 1)**4*(3*g + 1)
What is l in 4/5*l**2 + 0*l + 0 + 4/5*l**3 = 0?
-1, 0
Let p be (8/7)/4*7. Suppose p*n - n = 3. Factor -f**n - 2*f**2 + f**2 - 2*f**3 + 2*f**3.
-f**2*(f + 1)
Let y be ((-1)/(-5))/1 + 0. Suppose -c + 3*c - 4*c = 0. Factor 1/5*h**2 - y*h**3 + 0 + c*h.
-h**2*(h - 1)/5
Let i = -3 + 5. Let w be 24/231 - 10/(-55). What is z in 2/7*z**3 - 4/7*z**i + 0 + w*z = 0?
0, 1
Suppose -4*c - 12 = 0, -5*c - 28 = m - 11. Let z(a) = a + 2. Let w be z(m). What is h in -4/9*h**5 - 2/9*h**2 + w*h**3 + 0 + 2/3*h**4 + 0*h = 0?
-1/2, 0, 1
Let b(s) = -3*s**3 + 2*s**2 + 2. Let x be b(2). Let p be (1/(-5))/(x/35). Factor -p + f - 1/2*f**2.
-(f - 1)**2/2
Let g(l) = -2*l**5 - 4*l**4 + l**3 + 5*l**2 + 4*l - 4. Let k(s) = -7*s**5 - 15*s**4 + 3*s**3 + 19*s**2 + 15*s - 15. Let x(j) = -22*g(j) + 6*k(j). Factor x(u).
2*(u - 1)**3*(u + 1)**2
Let j(o) = 7*o**4 + 24*o**3 + 72*o**2 + 100*o + 44. Let r(q) = -q**4 - q + 1. Let t(n) = j(n) + 4*r(n). Factor t(f).
3*(f + 2)**4
Determine j, given that -2/13*j**2 - 10/13*j - 8/13 = 0.
-4, -1
Factor -12*p**3 + 11*p - 24 - 24*p - 35*p - 51*p**2 + 15.
-3*(p + 1)*(p + 3)*(4*p + 1)
Let f(i) be the second derivative of 0 + 1/15*i**3 + 0*i**2 + 1/50*i**5 - 4*i + 1/15*i**4. Let f(p) = 0. What is p?
-1, 0
Let u be (-2)/(-16) - (-363)/(-24). Let t = -11 - u. Factor 1/3 + r - r**t - 1/3*r**5 - 2/3*r**3 + 2/3*r**2.
-(r - 1)*(r + 1)**4/3
Suppose 3*t - s = 6*t - 1, 2*t - 5*s + 5 = 0. Suppose -2 = -2*b - 2*b - 2*c, 5*b + 5*c = -5. Suppose 0*x + 2 + t*x - b*x**2 = 0. Calculate x.
-1, 1
Let k(m) = -m**5 + m**3 + m**2 + m + 1. Let v(x) = -x**5 + 3*x**4 + 3*x**3 - x**2 + 2. Let o(w) = -4*k(w) + 2*v(w). Factor o(f).
2*f*(f - 1)*(f + 1)**2*(f + 2)
Let h = 10 + -7. Suppose -8 = h*j - 20. Find c such that -2*c**j + 2*c + 2*c**2 - 2*c**3 + 0*c**4 + 0*c = 0.
-1, 0, 1
Suppose -1 = -i + 1. Suppose -i*u + 6 = -0. Solve 7/4*s**u + 1/4*s**2 - 1/4 - 3/4*s - s**5 + 0*s**4 = 0.
-1, -1/2, 1
Suppose 3*x - 6*x + 12 = 0. Suppose 5*h + x = 19. Factor -k**5 + k - 2*k**2 + h*k**5 + 2*k**4 - 3*k**5.
-k*(k - 1)**3*(k + 1)
Let b(x) = 2*x**2 + 17*x - 8. Let s be b(-9). What is q in -1/2*q**3 + s - 5/2*q + 2*q**2 = 0?
1, 2
Let c(i) be the third derivative of 7*i**5/20 - i**4/8 - 4*i**2. Solve c(v) = 0 for v.
0, 1/7
Let w(o) be the second derivative of -2*o**7/21 - 2*o**6/3 - 2*o**5 - 10*o**4/3 - 10*o**3/3 - 2*o**2 - 8*o. Determine d, given that w(d) = 0.
-1
Let v be ((-2)/6)/(10/30). Let d(j) = 8*j**4 + 6*j**3 - 2*j**2 - 6*j + 6. Let z(s) = -s**4 - s**3 + s - 1. Let l(u) = v*d(u) - 6*z(u). Factor l(n).
-2*n**2*(n - 1)*(n + 1)
Determine j so that 8*j - 2*j**2 + 2 + 10*j**2 + 4*j**3 + 6*j**2 - 4*j**2 = 0.
-1, -1/2
Let n be 207/27 - (-2 + 9). Let k(v) = -v**3 + 5*v**2 + 7*v - 4. Let j be k(6). Let -5/6*a + n*a**j + 1/6 = 0. Calculate a.
1/4, 1
Let u be ((-2)/3)/((-6)/9). Solve u - 36*k - 3*k**4 - 38*k**2 - 7 - k**2 - 6 - 18*k**3 = 0.
-2, -1
Find d, given that -2*d - 5*d - d + d**2 + 7*d = 0.
0, 1
Let a be (3 - -1)/2 + 1. Let p(r) be the third derivative of 0 - a*r**2 + 1/36*r**4 + 1/36*r**5 + 0*r**3 + 0*r. Find b such that p(b) = 0.
-2/5, 0
Let h(u) be the third derivative of u**8/10080 - u**6/360 - u**5/30 + u**2. Let d(g) be the third derivative of h(g). Factor d(o).
2*(o - 1)*(o + 1)
Suppose p - 3 = -0*p. Find z such that 0*z**2 - 2*z**5 - 2*z**4 - z**3 + 4*z**3 - z**p + 2*z**2 = 0.
-1, 0, 1
Let n(p) be the first derivative of 3*p**4/4 + p**3 - 15*p**2/2 + 9*p - 34. Factor n(m).
3*(m - 1)**2*(m + 3)
Determine h so that -2*h**4 - 18*h**3 - 36*h**2 - 28*h - 2*h**4 + h**4 + 4*h = 0.
-2, 0
Factor -27*z - 28 + 7