be the second derivative of -s**5/15 + 2*s**3/3 - 4*s**2/3 - 11*s - 1. Factor p(h).
-4*(h - 1)**2*(h + 2)/3
Let r(c) = -4*c**3 + 60*c**2 - 328*c + 576. Let m(b) = -4*b**3 + 59*b**2 - 326*b + 576. Let q(o) = 4*m(o) - 5*r(o). Let q(y) = 0. Calculate y.
4, 6
Let c(v) be the first derivative of 0*v - 7 - 2/9*v**3 - 2/45*v**5 + 5/18*v**4 - v**2. Factor c(o).
-2*o*(o - 3)**2*(o + 1)/9
Let u be -6 + (-1 - (1 - (-1208)/(-16))). Factor 33*m**2 - 81/4*m**5 + 0 - 6*m - u*m**3 + 243/4*m**4.
-3*m*(m - 1)*(3*m - 2)**3/4
Let q(x) be the first derivative of -3*x**4/16 - 2*x**3 - 21*x**2/8 + 99. Factor q(v).
-3*v*(v + 1)*(v + 7)/4
Let x be 21/(252/19) - (-2)/(-8). Let -5/3*r + x + 1/3*r**2 = 0. Calculate r.
1, 4
Suppose 0 = 12*h - 10*h - 40. Suppose -2*s + 3*s - 18 = -3*o, -h = -4*o. Factor -3*y - 1 - s*y**2 + 1.
-3*y*(y + 1)
Let c(a) be the first derivative of 49/12*a**3 - 7/8*a**4 + 0*a + 0*a**2 + 1/20*a**5 - 5. Factor c(i).
i**2*(i - 7)**2/4
Suppose 19*h - 8 = 15*h. Factor -79*i**2 + 28*i**h - 5*i**5 - 100*i**3 - 40*i**4 - 29*i**2.
-5*i**2*(i + 2)**2*(i + 4)
Let q(h) = -21*h**4 - 17*h**3 + 4*h**2 + 17*h - 16. Let z(g) = 2*g**4 + g**3 - g + 1. Let p(o) = -4*q(o) - 44*z(o). Factor p(f).
-4*(f - 5)*(f - 1)**2*(f + 1)
Let i(v) = -38*v**3 + 20*v**2 + 22*v - 74. Let g(b) = 8*b**3 - 4*b**2 - 4*b + 15. Let h(u) = -28*g(u) - 6*i(u). Determine z, given that h(z) = 0.
-2, 1, 3
Factor -52*p**2 - 22*p + 17*p + 13*p - 60*p**3.
-4*p*(p + 1)*(15*p - 2)
Let -7/5*z**3 + 0 - 1/5*z**4 + 1/5*z**2 + 7/5*z = 0. Calculate z.
-7, -1, 0, 1
Let c(i) be the first derivative of -2*i**6/105 + 2*i**5/35 + i**4/3 + 8*i**3/21 + 36*i + 4. Let k(l) be the first derivative of c(l). What is z in k(z) = 0?
-1, 0, 4
What is n in 19/4*n - 5/4 - 70*n**4 + 69/4*n**2 - 187/4*n**3 - 12*n**5 = 0?
-5, -1, -1/3, 1/4
Let k = 675 - 672. Let z(t) be the third derivative of t**4 + 0*t + 1/60*t**6 + 0 - 1/5*t**5 + 12*t**2 - 8/3*t**k. Factor z(h).
2*(h - 2)**3
Suppose l - 4*l + 9 = 0. Let a(f) = 2*f**2 + 2*f + 3. Let i(b) = 3*b**2 + 3*b + 5. Let j(n) = l*i(n) - 5*a(n). Factor j(t).
-t*(t + 1)
Let c(d) = -d**3 + 14*d**2 + 2*d - 24. Let i be c(14). Find k, given that 4*k**i + k**5 - 2*k**3 + 4*k - 4*k**2 + 0*k**4 - 3*k + 2 - 2*k**4 = 0.
-2, -1, 1
Let i(n) be the second derivative of 2*n**7/7 + 13*n**6/6 + 91*n**5/20 + n**4/12 - 31*n**3/6 + 3*n**2 - 225*n - 1. What is p in i(p) = 0?
-3, -2, -1, 1/4, 1/3
Suppose -n + 5 = -2*m - 3*m, -m + 3*n = 1. Let u be (0 - (-4)/6)/(m/(-3)). Factor 0*g + 0 + 2/9*g**3 - 2/9*g**u.
2*g**2*(g - 1)/9
Let f = -17 - -20. Let a = 1181/3 - 390. Let a*b**4 + 0 + 4/3*b**5 + 1/3*b**2 - 1/3*b + f*b**3 = 0. What is b?
-1, 0, 1/4
Suppose -4 = -2*s + 24*g - 28*g, 0 = 2*g - 2. Factor -3*c**3 - 3/4*c**4 - 3/2*c - 15/4*c**2 + s.
-3*c*(c + 1)**2*(c + 2)/4
Let w(v) = v**3 + 24*v**2 - 21*v - 500. Let z be w(-24). Factor 0 + 5/3*i**z - 20/3*i**3 - 10/3*i + 25/3*i**2.
5*i*(i - 2)*(i - 1)**2/3
Let b(o) be the first derivative of -2*o**3/15 - 62*o**2/5 - 1922*o/5 + 38. Factor b(x).
-2*(x + 31)**2/5
Factor 146 + 49 + 3*d + 135*d - 3*d**2 + 60*d + 213.
-3*(d - 68)*(d + 2)
Let d(p) be the third derivative of 5*p**8/336 + 2*p**7/21 - p**6/4 - 4*p**5/3 + 145*p**4/24 - 10*p**3 + 28*p**2 - 1. Factor d(z).
5*(z - 1)**3*(z + 3)*(z + 4)
Let t(q) = -q**4 + q - 1. Let u(y) = 14*y**5 + 77*y**4 + 146*y**3 + 134*y**2 + 53*y + 11. Let o(p) = 3*t(p) + u(p). Suppose o(v) = 0. Calculate v.
-2, -1, -2/7
Let h(u) be the third derivative of 11*u**6/210 + 4*u**5/21 - 2*u**4/21 + 518*u**2. Determine x, given that h(x) = 0.
-2, 0, 2/11
Suppose -9*r + 144 = -5*r. Determine m so that -8*m**2 + 17*m**3 + r*m - 35*m + 2*m**3 - 12*m**4 = 0.
0, 1/4, 1/3, 1
Let f(p) be the third derivative of -p**6/24 - p**5/8 + 5*p**4/24 - p**2. Factor f(s).
-5*s*(s + 2)*(2*s - 1)/2
Suppose 5*x + 9 + 76 = 0. Let a = -8 - x. Determine l, given that -l**2 - 3*l**3 + 3*l**2 - 3*l**2 - a*l - 3 - 8*l**2 = 0.
-1
Let j = -82 + 84. Factor 76*g**3 - 4*g**4 - 196*g**j - 48*g**3 + 28*g**3.
-4*g**2*(g - 7)**2
Factor -479*l**3 + 100*l - 288*l + 92*l**2 + 480*l**3.
l*(l - 2)*(l + 94)
Let x(k) be the first derivative of 0*k - 5/3*k**3 - 8 - 15*k**2. Factor x(v).
-5*v*(v + 6)
Let a(v) = -7*v**2 - v - 2. Let x be a(-2). Let j = -24 - x. Suppose j*b**3 + 614*b + 4*b**2 - 614*b = 0. What is b?
-1, 0
Let r be ((-8)/(-12))/(6/9). Let c be (6 - 2)*r/2. Let -4*u**2 - c*u**5 + 2*u - 43 + 43 + 4*u**4 = 0. What is u?
-1, 0, 1
Let n be 1062/(-472)*8/(-6). Determine p, given that -12 - 7*p**4 - 2/3*p**5 - 157/3*p**2 - 44*p - 28*p**n = 0.
-3, -2, -1/2
Suppose v - 2*v = -3*z - 5, -z + 1 = v. Let s be (2/30)/(z/(-12)*2). Let -3/5*p**2 - s*p + 0 + 0*p**3 + 1/5*p**4 = 0. Calculate p.
-1, 0, 2
Factor 0*j + 0 - 22/9*j**3 + 0*j**2 - 2/9*j**4.
-2*j**3*(j + 11)/9
Let r(o) be the third derivative of -o**6/300 + o**5/75 + o**4/15 - 8*o**3/15 - 20*o**2. Find x, given that r(x) = 0.
-2, 2
Let x(t) be the first derivative of t**6/300 - t**5/75 + 4*t**2 + 19. Let g(s) be the second derivative of x(s). Factor g(b).
2*b**2*(b - 2)/5
Let y = 924 - 916. Let w(l) be the third derivative of 0*l**6 + 0*l**4 + 0 - 1/105*l**7 + 0*l - y*l**2 + 0*l**3 + 1/30*l**5. Determine d so that w(d) = 0.
-1, 0, 1
Suppose 0*o = 2*o - 6. Suppose -o*z = -z - 6. Suppose -i + 2 - 1 - 1 + i**z = 0. Calculate i.
-1, 0, 1
Suppose -5*f + 1 + 19 = 0. Suppose -17*y**4 + 4*y - 4*y**2 + 14*y**f - 4*y**3 + 7*y**4 = 0. What is y?
-1, 0, 1
What is j in -120*j**2 + 4*j**4 + 140*j + 4*j**4 - 3*j**4 + 182*j**3 - 167*j**3 = 0?
-7, 0, 2
Let l(v) = -2*v**2 - 41*v - 26. Let u(d) = d**2 + 20*d + 13. Let q(i) = -6*l(i) - 13*u(i). Find f, given that q(f) = 0.
-13, -1
Let s(l) = -8*l**2 - 8*l - 4. Let h(p) = p**3 - 7*p**2 - 6*p - 3. Let j(m) = -4*h(m) + 3*s(m). What is r in j(r) = 0?
0, 1
Let m(o) be the second derivative of -o**4/24 - o**3/3 - o**2 - 5*o + 9. Solve m(w) = 0.
-2
Let a be (-1)/(-8)*(28/(-20) - -3). Let l(w) be the first derivative of -w**3 - 4 + a*w**5 - 1/4*w**4 + 1/2*w**2 + 2*w. Solve l(y) = 0 for y.
-1, 1, 2
Let r(o) be the second derivative of -3*o**5/4 + 37*o**4/4 - 7*o**3 - 19*o. Factor r(s).
-3*s*(s - 7)*(5*s - 2)
Let y(u) = -2*u**4 + u**3 - u - 1. Let l(a) = 15*a**4 + 5*a**3 - 15*a**2 + 5*a + 5. Let m(c) = -l(c) - 5*y(c). Factor m(n).
-5*n**2*(n - 1)*(n + 3)
Suppose 2*b + 10 = 0, 4*b + 138 = 5*c + 118. Let g(y) be the first derivative of 0*y**2 + 4/9*y**3 + 8 + c*y. Suppose g(q) = 0. What is q?
0
Suppose -h - 3*t + 82 = -4, -78 = -h - 5*t. Let m be h/8 - 7/28. Factor 12*w + 3 - 3*w**2 - m*w.
-3*(w - 1)*(w + 1)
Let h(i) be the third derivative of 0*i**3 + 0*i**4 + 0*i + 0*i**5 - 1/270*i**6 + 0 + 1/756*i**8 + 4*i**2 + 0*i**7. Solve h(l) = 0.
-1, 0, 1
Suppose -17*q + 5 = -46. Let z(i) be the first derivative of 5 + 1/15*i**q + 1/10*i**2 + 0*i. Factor z(a).
a*(a + 1)/5
Let 44/21*d + 2/21*d**2 - 46/21 = 0. What is d?
-23, 1
Let f(w) be the first derivative of 15*w + 25/3*w**3 + 10 + 5/4*w**4 + 35/2*w**2. Let f(v) = 0. What is v?
-3, -1
Let u(z) = 3*z**2 + 32*z - 45. Let f(v) = v**2 + 17*v - 22. Let x(a) = 10*f(a) - 4*u(a). Factor x(k).
-2*(k - 20)*(k - 1)
What is m in -6*m**2 + 3*m**3 + 4*m**2 - m**4 + 0 - 12*m + 4*m**2 - 5 + 13 = 0?
-2, 1, 2
Let i(z) be the first derivative of 1/5*z**5 + 13/3*z**3 + 3/2*z**4 + 6 + 6*z**2 + 4*z. Let i(o) = 0. Calculate o.
-2, -1
Solve 3*r**3 - r**3 + 4*r**2 - 540*r**4 + 538*r**4 = 0 for r.
-1, 0, 2
Let j(f) = -7*f**2 - 170*f - 447. Let z(v) = 3*v**2 + 84*v + 225. Let w(c) = -6*j(c) - 13*z(c). Factor w(b).
3*(b - 27)*(b + 3)
Suppose 5*v + 11*a = 16*a + 35, 4*v + 2*a + 2 = 0. Determine y, given that 1/3*y**2 + v*y + 3 = 0.
-3
Let v(d) be the first derivative of d**6/30 + d**5/25 - 13*d**4/20 - d**3/15 + 24*d**2/5 - 36*d/5 - 42. Let v(f) = 0. What is f?
-3, 1, 2
Let y(z) be the first derivative of -z**6/30 - z**5/10 + z**4/6 + z**3 - 9*z**2/2 - 18. Let n(t) be the second derivative of y(t). Factor n(d).
-2*(d - 1)*(d + 1)*(2*d + 3)
Suppose 12 = 13*v - 9*v. Let x(n) be the second derivative of -6*n + 1/10*n**5 + 1/21*n**7 + 0 + 0*n**2 + 0*n**v + 0*n**4 - 2/15*n**6. Let x(r) = 0. What is r?
0, 1
Let b(n) be the second derivative of n**9/22680 - n**7/1260 - n**6/540 + 11*n**4/6 + 3*n. Let g(q) be the third derivative of b(q). Let g(f) = 0. What is f?
-1, 0, 2
Solve -2*j**3 + 34*j - 104*j +