7*y**5/30 - 5*y**4/8 - 21*y**2. Factor j(m).
m*(m - 15)*(m + 1)
Let s(n) = -n**2 - n + 1. Let x(r) = -5*r**2 - r + 4. Let j(d) = -4*s(d) + x(d). Let j(i) = 0. What is i?
0, 3
Let h(y) be the first derivative of 5*y**6/21 - 4*y**5/35 - 5*y**4/14 + 4*y**3/21 + 34. Let h(k) = 0. Calculate k.
-1, 0, 2/5, 1
Let p(f) be the first derivative of -f**4/30 - 2*f**3/45 + f**2/15 + 2*f/15 + 9. Factor p(b).
-2*(b - 1)*(b + 1)**2/15
Let b(n) be the second derivative of n**7/21 - 2*n**6/5 + 11*n**5/10 - n**4 + 31*n. Factor b(y).
2*y**2*(y - 3)*(y - 2)*(y - 1)
Suppose 3*o = -k + 13, 2*o - 3*k + 2*k - 2 = 0. Factor 0*u**2 + 0 + 0*u**o - 1/4*u**5 + 0*u - 1/4*u**4.
-u**4*(u + 1)/4
Let v be (-6)/(((-18)/8)/(-3)). Let u = v - -8. Factor u*o - 2/7*o**2 - 2/7*o**4 + 4/7*o**3 + 0.
-2*o**2*(o - 1)**2/7
Let p(v) be the third derivative of v**7/1155 + v**6/132 + 3*v**5/110 + 7*v**4/132 + 2*v**3/33 - 10*v**2. Factor p(z).
2*(z + 1)**3*(z + 2)/11
Let r = 156451/525 + -298. Let v(y) be the third derivative of 0*y**4 + 1/300*y**6 + 0 - r*y**7 + 0*y + 0*y**3 + 2*y**2 - 1/840*y**8 + 1/150*y**5. Factor v(t).
-2*t**2*(t - 1)*(t + 1)**2/5
Let d(c) = -4*c**4 + 4*c**3 - 6*c**2 - 2*c - 2. Let k(i) = -i**4 - i**3 - i**2 - i - 1. Let p(s) = -2*d(s) + 4*k(s). Factor p(w).
4*w**2*(w - 2)*(w - 1)
Let f(c) = c**2 - c. Let v(r) = 0*r**2 + r - 5*r + 2*r**2. Let z(b) = 5*f(b) - v(b). Let z(x) = 0. What is x?
0, 1/3
Let m(s) be the first derivative of 0*s**2 + 2 + 3*s - 1/42*s**4 - 1/21*s**3. Let g(q) be the first derivative of m(q). Find y such that g(y) = 0.
-1, 0
Suppose 7*k = 11*k - 36. Let 0*n + 6*n + n**5 + k*n**3 + 15*n**2 - 4*n**5 - 3*n**4 = 0. What is n?
-1, 0, 2
Let d = -38 + 41. Suppose 0*p**2 + 0*p**d + 2/3*p**4 + 0 + 0*p - 2/3*p**5 = 0. Calculate p.
0, 1
Let q be (-1)/(1/(-3)*1). Suppose 3*l = 2*l + 3. Factor 5*o**5 - 3*o**5 - o**q + 2*o - l*o**3.
2*o*(o - 1)**2*(o + 1)**2
Let a be (-11)/22 + (-10)/(-4). Factor 11*x**5 + 0*x**2 + 4*x + 6*x**4 - a*x**5 - 4*x**2 - 7*x**3 - 4*x**3.
x*(x + 1)**2*(3*x - 2)**2
Let f(u) = -8*u**2 - 10*u + 4. Let p = 9 - 3. Let k(g) = 2*g - 1 - g**2 + 2*g**2 - g. Let v(w) = p*k(w) + f(w). Suppose v(n) = 0. Calculate n.
-1
Let b(i) = i**2 + i - 1. Let y(v) = v**3 + 8*v**2 + 5*v - 8. Let u(x) = -30*b(x) + 5*y(x). Factor u(z).
5*(z - 1)*(z + 1)*(z + 2)
Suppose -b = -4*b - 2*o - 18, -2*b = o + 13. Let v = 11 + b. Factor 0 + 0*l**v + 2/7*l**5 + 0*l + 0*l**2 + 2/7*l**4.
2*l**4*(l + 1)/7
Let k(d) be the first derivative of -3*d**4/14 - 12*d**3/7 - 19. Suppose k(o) = 0. What is o?
-6, 0
Suppose -20 = 5*c + 2*z + 2*z, -5*z = 3*c + 25. Factor 5/2*f**3 + 0 + f**2 + c*f.
f**2*(5*f + 2)/2
Let s be (4 - 0/2) + -1. Let j be ((4 - 0) + 7 + -10)*0. Let 2/3*k**2 + 0*k**s + j - 2/3*k**4 - 1/3*k + 1/3*k**5 = 0. What is k?
-1, 0, 1
Factor 0 + 1/4*z - 1/4*z**2.
-z*(z - 1)/4
Let r(i) = 6*i**2 - 3*i - 18. Let z(l) = 3*l**2 - 2*l - 9. Let p(b) = 4*r(b) - 9*z(b). Factor p(v).
-3*(v - 3)*(v + 1)
Factor -x + 3*x**3 - 9*x - 3*x**4 + 3*x**2 + 7*x.
-3*x*(x - 1)**2*(x + 1)
Let k(m) be the first derivative of -4*m**3/33 + 3*m**2/11 + 4*m/11 + 7. Factor k(x).
-2*(x - 2)*(2*x + 1)/11
Factor 1/4*y**3 + 1/2*y**2 - 1/4*y - 1/2.
(y - 1)*(y + 1)*(y + 2)/4
Let i = 44 - 42. Let x be (-12)/(-20) + 1 - 1. Factor -6/5 - 3/5*l + x*l**i.
3*(l - 2)*(l + 1)/5
Solve 32/5*z - 2/5*z**2 - 128/5 = 0.
8
Let d(t) be the first derivative of t**7/630 + t**6/180 + t**2 - 2. Let x(z) be the second derivative of d(z). Factor x(l).
l**3*(l + 2)/3
Let n(q) be the second derivative of q**4/30 + 2*q**3/3 + 9*q**2/5 - 12*q. Factor n(p).
2*(p + 1)*(p + 9)/5
Suppose -3*v + 2*v = 5*g - 3, g = 4*v - 12. Let k be 0 - (g + (-342)/8). Factor 67/2*x**2 + 2 - k*x**3 - 13*x - 27/4*x**5 + 27*x**4.
-(x - 1)**2*(3*x - 2)**3/4
Let p(c) be the first derivative of -c**6/288 - c**5/120 + c**4/96 - 3*c**3 - 6. Let i(n) be the third derivative of p(n). Factor i(r).
-(r + 1)*(5*r - 1)/4
Solve 0 - 1/4*b + 0*b**2 + 1/4*b**3 = 0.
-1, 0, 1
Let w = 9 + -4. Suppose -2*b = -w*b + 6. Find v, given that v**4 - b*v - v**2 + v**3 - 3*v + 4*v = 0.
-1, 0, 1
Find o such that 0 + 38/11*o**3 + 2*o**4 + 4/11*o**5 + 26/11*o**2 + 6/11*o = 0.
-3, -1, -1/2, 0
Let a be 0/((-1 - 3) + 3). Let f(i) be the first derivative of 1/5*i**5 + 2 - 1/2*i**2 + a*i + 1/4*i**4 - 1/3*i**3. Suppose f(n) = 0. Calculate n.
-1, 0, 1
Let -9/2*u**3 - 3/2*u**4 + 9*u**2 + 42*u + 36 = 0. What is u?
-2, 3
Let o = 4 + 10. Suppose 3*j + 5 = o. Let y**4 + 0 - 4*y - 1 - 2*y**j + 6*y = 0. What is y?
-1, 1
Let b(o) be the second derivative of o**7/63 - o**6/9 + o**5/5 + o**4/9 - 7*o**3/9 + o**2 - 16*o. Factor b(j).
2*(j - 3)*(j - 1)**3*(j + 1)/3
Let b(m) be the first derivative of 0*m**4 + 0*m**3 - 1/50*m**5 + 1 + 0*m**2 + 3*m - 1/75*m**6. Let a(z) be the first derivative of b(z). Factor a(t).
-2*t**3*(t + 1)/5
Suppose -5*h + 31 = -3*m, -10 = -2*h + 4*m - 2*m. Let k be -7*(1 - 36/h). Factor -12*x**2 - 2*x + k*x**4 + 0 - 21/2*x**3.
x*(x - 1)*(7*x + 2)**2/2
Let j(h) be the second derivative of -h**7/21 - 2*h**6/45 + 12*h. Suppose j(i) = 0. What is i?
-2/3, 0
Let g(k) be the first derivative of k**3/3 - 17*k**2 + 289*k - 41. Find j such that g(j) = 0.
17
Let l(r) = r**2 + r. Let v be l(0). Find w such that w + v*w**3 + 3*w**2 - w**3 - 8 - w**4 + 6 = 0.
-2, -1, 1
Let u = 6 - 6. Suppose -7*y + 2*y + 22 = -3*h, 3*y - 5*h - 26 = u. Determine p so that -5*p**3 - 2*p**3 - 4*p**y + 0*p**4 + 2*p**4 + 5*p**3 = 0.
-1, 0, 2
Let p(r) be the second derivative of -1/4*r**2 + 0 + 1/24*r**4 - 1/12*r**3 + 2*r + 1/40*r**5. Let p(z) = 0. What is z?
-1, 1
Let r(j) be the first derivative of -j**3/3 - j**2/2 + 2*j - 11. Factor r(f).
-(f - 1)*(f + 2)
Let a = 1 + 5. Let z be (a - 7)*-1*2. Suppose -v**3 + 4*v**z - 2*v**2 - v + 0*v**2 = 0. What is v?
0, 1
Factor -2/9*r - 4/9 + 2/9*r**2.
2*(r - 2)*(r + 1)/9
Let l(q) = 2*q**3 - 6*q**2 + 2*q. Let o(g) = 3*g**2 - g + 4*g - 10*g**2 + g**3. Let u(y) = -3*l(y) + 2*o(y). Solve u(b) = 0.
0, 1
Let r be (8/(-5))/((-2)/(-40)). Let q be (r/(-30))/(15/75). Factor -1/3 - q*m**2 + 8/3*m.
-(4*m - 1)**2/3
Let a(w) = 9*w**4 - 6*w**3 + 3*w**2 + 6*w + 6. Let o = 2 - -15. Let p(z) = 26*z**4 - 17*z**3 + 8*z**2 + 17*z + 17. Let t(c) = o*a(c) - 6*p(c). Factor t(m).
-3*m**2*(m - 1)*(m + 1)
Let w(k) be the second derivative of -3/10*k**2 + 3/100*k**5 - 3/20*k**4 + 0 + 2*k + 3/10*k**3. Factor w(r).
3*(r - 1)**3/5
Let r(h) be the second derivative of h**7/42 - h**6/30 - h**5/20 + h**4/12 + 9*h. Find n, given that r(n) = 0.
-1, 0, 1
Let a(c) be the second derivative of 6*c + 0 + 5/4*c**4 - 3/20*c**5 - 4*c**3 + 6*c**2. Factor a(p).
-3*(p - 2)**2*(p - 1)
Let c(r) = -r**2 - 9*r - 6. Let m be c(-8). Let j = -103/35 + 22/7. Suppose 1/5*p + 0 - j*p**m = 0. What is p?
0, 1
Let z(k) = -6*k**4 + 5*k**3 - 2*k**2 - 2*k - 5. Let q(b) = b**4 - b**3 + b**2 + 1. Let p(v) = -5*q(v) - z(v). Factor p(y).
y*(y - 1)**2*(y + 2)
Let l = -190 + 193. Solve -28/3*v**5 + 2/3 - 85/3*v**l - 85/3*v**4 - 25/3*v**2 + 5/3*v = 0 for v.
-1, -2/7, 1/4
Let f(c) be the third derivative of -c**8/2856 + 2*c**7/1785 + c**6/510 - 4*c**5/255 + 7*c**4/204 - 2*c**3/51 - 34*c**2. Determine x, given that f(x) = 0.
-2, 1
Suppose -g - 3*f - 7 = 0, 2*f - 3*f = -2*g - 7. Let n be 2/(-20)*50/g. Factor -n*y**2 + 1 - 2*y.
-(y + 2)*(5*y - 2)/4
Let t(f) be the second derivative of -f**5/30 + 4*f**3/3 + 3*f**2 - 11*f. Let i(l) be the first derivative of t(l). Solve i(q) = 0.
-2, 2
Let r = 33/25 + -89/75. Factor r*g**3 + 0 + 2/5*g**2 + 4/15*g.
2*g*(g + 1)*(g + 2)/15
Let f be 2/2*(145/(-30) + 5). Let 2/3*d**2 - f + 1/2*d = 0. What is d?
-1, 1/4
Let q be (-2)/((-48)/4 - -5). Solve -2/7*u**5 + 2/7*u**3 + 0*u - 2/7*u**2 + q*u**4 + 0 = 0 for u.
-1, 0, 1
Let j(c) be the first derivative of -c**6/50 + 3*c**5/50 - c**3/5 + 3*c**2/10 - 3*c - 4. Let y(n) be the first derivative of j(n). Factor y(v).
-3*(v - 1)**3*(v + 1)/5
Determine j, given that 5/2 - 1/2*j**2 - 2*j = 0.
-5, 1
Let 0*b + 1/3*b**5 - b**3 + 0 + 2/3*b**2 + 0*b**4 = 0. What is b?
-2, 0, 1
Let q(v) be the first derivative of -1/2*v**2 + 0*v - 1/3*v**3 + 3. Factor q(c).
-c*(c + 1)
Factor -8/7 + 26/7*m**2 - 8/7*m - 10/7*m**3.
-2*(m - 2)*(m - 1)*(5*m + 2)/7
Let g = 456 - 454. Solve 81/4*k**3 - 51/2*k**g - 9*k + 6 - 45/4*k**5 + 39/2*k**4 = 0.
-1, -2/3, 2/5, 1, 2
Factor 9*f - f**2 + 1 - 15 - f - 2.
-(