4 - b.
4*(p - 1)**3*(p + 1)*(4*p + 1)
Let n(s) be the first derivative of 2*s**3/39 + 5*s**2/13 + 8*s/13 + 173. Factor n(x).
2*(x + 1)*(x + 4)/13
Let a(q) be the third derivative of 16*q**2 + 0 + 0*q + 0*q**4 - 1/360*q**6 + 1/45*q**5 + 0*q**3. Find n, given that a(n) = 0.
0, 4
Let l(n) = 5*n**2 - 10*n - 1. Let y(i) = 1. Suppose -b = -1 - 24. Suppose b = 7*u - 17. Let s(t) = u*y(t) + l(t). Factor s(f).
5*(f - 1)**2
Factor -1/3*c**2 + 3/2 - 1/2*c.
-(c + 3)*(2*c - 3)/6
Let y(b) be the second derivative of 32*b**4/27 - 112*b**3/27 + 49*b**2/9 + 14*b - 3. Factor y(q).
2*(8*q - 7)**2/9
Let k(i) = i**4 + i**3 + i**2 - i. Suppose 13*w + 16 = 3. Let t(y) = 8*y**4 + 74*y**3 + 87*y**2 + 29*y. Let g(u) = w*k(u) - t(u). Factor g(h).
-h*(h + 7)*(3*h + 2)**2
Let l = 79 + 105. Factor 6 - 3*b + 11*b + l*b**2 - 182*b**2.
2*(b + 1)*(b + 3)
Let m(z) be the first derivative of -z**4 + 14*z**2 - 24*z - 66. Factor m(k).
-4*(k - 2)*(k - 1)*(k + 3)
Factor 14297 + 3*z**3 + 2*z**2 + 18*z - 5*z**3 - 14315.
-2*(z - 3)*(z - 1)*(z + 3)
Let t(c) be the first derivative of 1/10*c**2 + 0*c**5 + 0*c**3 + 0*c - 7 - 1/10*c**4 + 1/30*c**6. Factor t(g).
g*(g - 1)**2*(g + 1)**2/5
Suppose -5*p + 2 = -4*p. Let s(k) be the second derivative of k**3/6 - 5*k. Let z(w) = -w**2 - 2*w - 2. Let o(b) = p*z(b) + 10*s(b). Factor o(r).
-2*(r - 2)*(r - 1)
Let b(t) be the second derivative of -t**4/3 + 14*t**3/3 - 20*t**2 - 74*t. Factor b(v).
-4*(v - 5)*(v - 2)
Let d(l) be the first derivative of -l**3 + 87*l**2 - 2523*l - 400. Factor d(t).
-3*(t - 29)**2
Let q = 317/126 - 35/18. Solve 0 - q*v + 2/7*v**2 + 4/7*v**3 - 2/7*v**4 = 0.
-1, 0, 1, 2
Let w = -563 - -567. Let a(j) be the second derivative of -1/24*j**3 + 2*j + 0*j**2 - 1/48*j**w + 0. Factor a(y).
-y*(y + 1)/4
Let p(b) be the first derivative of -b**6/260 + 4*b**5/195 - b**4/39 + 11*b**2/2 - 14. Let r(s) be the second derivative of p(s). Factor r(c).
-2*c*(c - 2)*(3*c - 2)/13
Let a = 1177/2346 + -2/1173. Let b(j) be the first derivative of -1/6*j**3 - a*j + 1/2*j**2 + 1. Find y, given that b(y) = 0.
1
Solve 1/5*p**4 - 356/5*p**3 + 62742241/5 + 47526/5*p**2 - 2819876/5*p = 0 for p.
89
Let d(r) be the second derivative of 5*r**7/126 + r**6/18 + r**5/30 - 5*r**4/4 - 13*r. Let i(l) be the third derivative of d(l). Factor i(p).
4*(5*p + 1)**2
Let d be (-18)/(-5) + (-39)/65. Find u such that d*u - 15 - 5*u**2 - 14*u + 0*u**2 - 9*u = 0.
-3, -1
Factor 4*u**2 - 40*u - 4*u**4 + 14*u + 24*u + 2 + 2*u**5 - 2.
2*u*(u - 1)**3*(u + 1)
Let t(y) be the second derivative of 4*y**7/21 - 229*y**6/15 + 1707*y**5/5 - 3805*y**4/6 - 1736*y**3/3 + 2352*y**2 - y + 140. What is r in t(r) = 0?
-3/4, 1, 28
Let p(b) be the first derivative of b**4/26 - 74*b**3/39 + 136*b**2/13 - 264*b/13 + 251. Suppose p(u) = 0. Calculate u.
2, 33
Let h(r) be the third derivative of 2*r**7/35 + 41*r**6/10 + 1597*r**5/20 - 861*r**4/4 + 441*r**3/2 - 6*r**2. Factor h(t).
3*(t + 21)**2*(2*t - 1)**2
Suppose 5*k - 13 = a, -2*k - 11 = a + 4*a. Let s = a - -7. Solve -8*r**3 - 2*r**4 + 8*r + r**4 - s*r**2 + 5*r**4 = 0.
-1, 0, 1, 2
Let q(y) be the third derivative of 8/105*y**5 - 2/21*y**4 + 0*y - 12*y**2 + 0 - 1/42*y**6 + 2/735*y**7 + 0*y**3. Factor q(c).
4*c*(c - 2)**2*(c - 1)/7
Factor -12/11*y**3 + 8/11*y**4 - 2/11*y + 0 + 8/11*y**2 - 2/11*y**5.
-2*y*(y - 1)**4/11
Let w(g) be the first derivative of 4*g**7/63 - g**6/5 + g**5/5 - g**4/18 + 5*g + 19. Let l(z) be the first derivative of w(z). What is m in l(m) = 0?
0, 1/4, 1
Let g = 43 - 49. Let y be g/3*(-6)/4. Factor 3/2 + 9*k**2 + 27/4*k + 15/4*k**y.
3*(k + 1)**2*(5*k + 2)/4
Determine x so that 2*x**3 + 238*x - 2*x**2 + 48 - 212*x - 9*x**2 - 9*x**2 = 0.
-1, 3, 8
Let m(v) = -6*v + v**2 - 4 - 1 + 0*v**2 - v**4 + 2*v**4. Let z(k) = k**3 + k + 1. Let y(u) = m(u) + 3*z(u). Suppose y(t) = 0. What is t?
-2, -1, 1
Let o(m) = 36*m + 79. Let i(z) = -7*z - 16. Let w(u) = 11*i(u) + 2*o(u). Let l be w(-4). Factor 4/7 + 2/7*f - 2/7*f**l.
-2*(f - 2)*(f + 1)/7
Let n(b) be the second derivative of 1/6*b**6 + 0 + 0*b**4 + 0*b**3 - 18*b + 0*b**2 + 0*b**5. Factor n(t).
5*t**4
Let n be ((-12)/15)/((-4)/10). Let m(t) = 2*t + 28. Let u be m(-12). Factor -l + l - 2*l**2 + u*l**n.
2*l**2
Suppose -j = 6*j - 126. Suppose 2*n + 0*n + 3*n**2 - 17*n**3 + j*n**3 = 0. What is n?
-2, -1, 0
Let k be (-120)/(-32)*(-3)/(-90). Determine x so that -k*x**3 + 1/8*x - 1/8*x**2 + 0 + 1/8*x**4 = 0.
-1, 0, 1
Let -2*h + 7/4 + 1/4*h**2 = 0. Calculate h.
1, 7
Let k(a) be the first derivative of a**6/3 - 16*a**5/5 + 3*a**4 + 16*a**3/3 - 7*a**2 + 146. What is u in k(u) = 0?
-1, 0, 1, 7
Let k(q) = -11*q**3 - 73*q**2 + 204*q - 48. Let v(m) = 35*m**3 + 218*m**2 - 612*m + 142. Let z(b) = 7*k(b) + 2*v(b). Factor z(t).
-(t - 2)*(t + 13)*(7*t - 2)
Let -158/7*m**2 - 76/7*m**3 - 80/7*m + 2/7*m**4 + 0 = 0. What is m?
-1, 0, 40
Let i(l) be the third derivative of 8*l**7/105 - l**6/6 + l**5/15 - 61*l**2 - 2. Suppose i(g) = 0. Calculate g.
0, 1/4, 1
Let d be 1 + -11 + (1 - -9). Let b(i) be the third derivative of d + 0*i**3 - 1/20*i**5 - 4*i**2 + 0*i + 0*i**4. Suppose b(s) = 0. What is s?
0
Let i(l) = -4*l**3 + 6*l**2 - 5*l + 3. Suppose 4*p = -0 + 8. Let s(q) = -q - q**3 - 1 + 1 + 1 + q**p. Let d(t) = i(t) - 3*s(t). Factor d(j).
-j*(j - 2)*(j - 1)
Factor 423/7*d**2 + 417/7*d + 3/7*d**4 + 21*d**3 + 138/7.
3*(d + 1)**3*(d + 46)/7
Factor -24*x + 1 - 1 - 813*x**3 + 819*x**3 - 10*x**2.
2*x*(x - 3)*(3*x + 4)
Let f(n) be the second derivative of -3*n**5/2 + 41*n**4/6 + 16*n**3/3 - 12*n**2 - 6*n. Factor f(p).
-2*(p - 3)*(3*p + 2)*(5*p - 2)
Suppose 35 = -3*i - 5*n, -2*n - 29 = 4*i - 1. Let r be (-2 + i + 2)/(-26 + 25). Suppose -3/2*k**r - 3/2*k**4 + 15/2*k**2 + 9/2*k**3 + 3*k + 0 = 0. Calculate k.
-1, 0, 2
Find o, given that -3/4*o**2 - 3/4*o + 3/4*o**3 + 3/4 = 0.
-1, 1
Suppose 3714 + y**3 + 3*y**2 + 3720 - 7434 = 0. What is y?
-3, 0
Let k(z) be the second derivative of 2*z**6/15 + z**5/5 - z**4 - 2*z**3/3 + 4*z**2 + 16*z - 3. Factor k(i).
4*(i - 1)**2*(i + 1)*(i + 2)
Let f(g) be the first derivative of -4*g**5/5 - g**4 + 30. Factor f(q).
-4*q**3*(q + 1)
Suppose 0 = 2284*t - 2176*t. Factor t + 3/8*i**2 + 3/2*i.
3*i*(i + 4)/8
Suppose 6*v - 1 = 11. Let -g**2 - 22*g + 7*g**v - 11*g**2 + 8 - g**2 = 0. What is g?
-4, 1/3
Let u(r) be the second derivative of -r**6/180 - r**5/20 + r**4/3 - r**3 + 5*r. Let g(z) be the second derivative of u(z). Solve g(l) = 0 for l.
-4, 1
Let c(g) be the third derivative of -10*g**2 + 11/180*g**5 + 0 - 1/72*g**4 - 1/9*g**3 + 1/210*g**7 + 0*g - 11/360*g**6. Solve c(x) = 0 for x.
-1/3, 1, 2
Determine b, given that -1/4*b**2 - 400 - 20*b = 0.
-40
Let h(t) be the first derivative of 4*t**3/15 - 2*t**2 - 96*t/5 - 297. Find a, given that h(a) = 0.
-3, 8
Suppose 0 = -3*h - 3*d - 0*d + 6, 8 = 4*h - 5*d. Let q be -5 - ((-32)/(-40) + (-132)/15). Determine b so that -3*b**2 + q*b**4 - b**2 + b**h = 0.
-1, 0, 1
Factor 0*z**2 - 16 + 5*z**2 - 38*z - 4*z**2 + 34*z + z**2.
2*(z - 4)*(z + 2)
Let v(q) be the second derivative of -3/20*q**5 + q**3 - 1/4*q**4 + 20 + 0*q**2 + q. Suppose v(h) = 0. Calculate h.
-2, 0, 1
Let g(a) be the second derivative of -5*a**7/252 + 7*a**6/36 - 5*a**5/8 + 65*a**4/72 - 5*a**3/9 - 75*a. Solve g(z) = 0 for z.
0, 1, 4
Let t be 9 - (-4 + (3 - -1)). Factor 2*h**5 - 58*h**2 + h**5 + 70*h**2 - t*h**4.
3*h**2*(h - 2)**2*(h + 1)
Let x(k) = -k**3 - 16*k**2 - 58*k + 50. Let s be x(-8). Factor 0 + 0*f**s - 2/5*f**5 - 2/5*f + 0*f**4 + 4/5*f**3.
-2*f*(f - 1)**2*(f + 1)**2/5
Factor -12/7*z**3 + 0 + 48/7*z + 8/7*z**2 - 2/7*z**4.
-2*z*(z - 2)*(z + 2)*(z + 6)/7
Let j = -326 - -330. Let w(q) be the first derivative of 4/39*q**3 - 1/26*q**j + 4 + 4/13*q**2 - 16/13*q. Suppose w(n) = 0. What is n?
-2, 2
Let a(t) be the first derivative of -t**8/210 + 3*t**7/140 - t**6/30 + t**5/60 - 2*t**3 + 8. Let f(s) be the third derivative of a(s). Factor f(y).
-2*y*(y - 1)**2*(4*y - 1)
Let f(p) be the first derivative of -p**4/14 + 4*p**3/7 + 15*p**2/7 + 22*p - 15. Let s(i) be the first derivative of f(i). Factor s(r).
-6*(r - 5)*(r + 1)/7
Let i(z) = z + 6. Let t be i(-4). Factor 10 + 12 - 19 - t*h - h**2.
-(h - 1)*(h + 3)
Let m be 0/(((-8)/(-10))/((-40)/100)). Let z(o) be the second derivative of -1/12*o**4 + m*o**2 + 0 + 1/3*o**3 + 2*o - 1/20*o**5. Let z(g) = 0. What is g?
-2, 0, 1
Let b(z) be the se