- c*j + 81/2 + 1/2*j**4.
(j - 3)**4/2
Let y(k) = -5*k**5 - 11*k**4 - 16*k**2 + 36*k - 20. Let x(l) = -4*l**5 - 7*l**4 - l**3 - 16*l**2 + 35*l - 19. Let s(i) = 4*x(i) - 3*y(i). Factor s(w).
-(w - 2)**3*(w - 1)*(w + 2)
Let g = 12 - 14. Let c be (-4)/g - (-77)/(-42). Let 1/6*n**2 + c*n + 0 = 0. What is n?
-1, 0
Let l(d) be the first derivative of -d**7/1260 + d**6/30 - 3*d**5/5 + 6*d**4 + 11*d**3/3 - 9. Let y(h) be the third derivative of l(h). Factor y(n).
-2*(n - 6)**3/3
Let g = 17 + -15. Suppose -4 = g*d - 8. Determine c so that 2 - 2*c**2 - 7*c**d + 14*c**2 - 7*c**2 = 0.
-1, 1
Let f(j) = 2*j + 2. Let y be f(1). Let o be 3/(30/4)*5. Determine t, given that 0*t**3 - 2*t**3 + o*t**5 - 8*t**5 - y*t**4 - 4*t**4 = 0.
-1, -1/3, 0
Let w be (-18)/4 - (-296)/(-132)*414/(-184). Solve 10/11*h - 10/11*h**3 + w*h**2 + 2/11*h**4 - 8/11 = 0.
-1, 1, 4
Let d(l) be the second derivative of -l**4/12 - 5*l**3/3 + 11*l**2/2 - 198*l. Suppose d(x) = 0. Calculate x.
-11, 1
Factor 0 + 2/13*i**5 + 40/13*i**2 + 14/13*i**4 + 36/13*i**3 + 16/13*i.
2*i*(i + 1)*(i + 2)**3/13
Let i = -234232/11 + 21294. Factor -2/11*v**3 + 0*v + 0 + i*v**2.
-2*v**2*(v - 1)/11
Let u(l) = -4*l**2 - l + 4*l**3 - l**3 + 4 + 0*l. Suppose -c - 5 = -3. Let p(b) = -12*b**3 + 15*b**2 + 3*b - 15. Let o(s) = c*p(s) - 9*u(s). Factor o(y).
-3*(y - 2)*(y - 1)*(y + 1)
Let v(s) be the second derivative of -s**9/3780 + s**8/420 - s**7/126 + s**6/90 + 5*s**4/3 + 8*s. Let x(r) be the third derivative of v(r). Factor x(p).
-4*p*(p - 2)*(p - 1)**2
Let r(l) = -2*l + 4. Let f be r(-5). Let d = f + -12. Factor -3*u**4 - 6*u + 3*u**3 + u + 5*u + 6*u**d.
-3*u**2*(u - 2)*(u + 1)
Let l be 17 + 44/(-42)*14. What is o in 3*o**3 + 1/3*o**5 - 5/3*o**4 - l*o**2 + 0 + 2/3*o = 0?
0, 1, 2
Suppose 0 = 5*z + 300 - 50. Let h = -48 - z. Factor -6 - 12*f - 9/2*f**h.
-3*(f + 2)*(3*f + 2)/2
Factor -192*b + 16878*b**3 - 16874*b**3 - 5 + 8*b**2 + 5.
4*b*(b - 6)*(b + 8)
Let u(o) = -o**3 + 15*o**2 - 18*o + 4. Let n(z) = 3*z**3 - 29*z**2 + 34*z - 8. Let y(h) = 3*n(h) + 5*u(h). Factor y(b).
4*(b - 1)**3
Factor -8/5*c - 4/5*c**2 + 12/5.
-4*(c - 1)*(c + 3)/5
Let t = -23 - 43. Let b = -66 - t. Let 8/11*g**2 + b + 8/11*g + 2/11*g**3 = 0. What is g?
-2, 0
Let a(n) be the second derivative of -n**4/4 + 17*n**3 - 99*n**2/2 + 50*n - 2. Factor a(q).
-3*(q - 33)*(q - 1)
Suppose -9 = 5*z - 3*i, 4*i = 3*z + 3 + 9. Suppose 0 = -3*s - z*s + 15. Determine r, given that -2/7*r**3 + 0*r + 2/7*r**s + 0 + 0*r**4 + 0*r**2 = 0.
-1, 0, 1
Suppose 13*u**2 - 28*u**3 + 20*u**4 - u**2 - 4*u**5 - 2*u + 2*u = 0. What is u?
0, 1, 3
Factor 1084*j - 375*j**3 + 381 - 3964*j + 1800*j**2 + 1155.
-3*(5*j - 8)**3
Suppose -3*d = 5*y - 15, 0 = 3*y - 0*d - 5*d + 25. Find o such that -o**3 + y*o**4 - 2*o**4 + 74*o**5 + 2*o**2 + 78*o**5 - 151*o**5 = 0.
-1, 0, 1, 2
Let a = 43 + -37. Factor -c**2 - c**3 + 23*c + 22*c + a*c**3 + 31*c**2.
5*c*(c + 3)**2
Let i(q) be the first derivative of -q**6/4 - 101*q**5/30 - 13*q**4/24 + 101*q**3/18 + 11*q**2/6 - 315. Solve i(g) = 0 for g.
-11, -1, -2/9, 0, 1
Let v be 10/25*30/72. Let i(w) be the third derivative of -1/20*w**5 + 1/8*w**4 - 11*w**2 - v*w**3 + 1/120*w**6 + 0*w + 0. Factor i(x).
(x - 1)**3
Suppose -n + 3398 = 3395. Factor -2/7*d**n - 8/7*d**2 - 6/7*d + 0.
-2*d*(d + 1)*(d + 3)/7
What is y in 3*y**3 + 45*y + 493 + 0*y + 13*y**2 + 14*y**2 - 472 = 0?
-7, -1
Let c(k) be the first derivative of -1/6*k**3 - 1 - 1/4*k**2 + k - 1/24*k**4. Let o(s) be the first derivative of c(s). Find r, given that o(r) = 0.
-1
Let v(s) be the second derivative of -13/110*s**5 + 3/22*s**4 + 16/11*s**2 - 3*s + 0 + 2/165*s**6 + 40/33*s**3. Find r such that v(r) = 0.
-1, -1/2, 4
Let s(g) = g**2 - 53*g - 46. Let i(m) = 3*m + 1. Let f(j) = -4*i(j) - s(j). Factor f(n).
-(n - 42)*(n + 1)
Let t = -44 + 92. Let r be t/(-18)*-3*1. Let u(x) = 6*x**3 - 2*x**2 + 8*x + 8. Let k(l) = -4*l**3 + l**2 - 5*l - 5. Let s(j) = r*k(j) + 5*u(j). Factor s(a).
-2*a**2*(a + 1)
Let m(j) be the first derivative of j**4/28 + j**3/3 - 15*j**2/7 + 155. Factor m(r).
r*(r - 3)*(r + 10)/7
Let t be (-1532)/24 - (-2)/(-3). Let h = t + 66. Factor -3/2*g**2 + h*g + 3/2 - 3/2*g**3.
-3*(g - 1)*(g + 1)**2/2
Let p = 91 - 86. Let m be 2/p*(-35)/(-28). Factor -3/2*r**4 - m*r**2 - 3/2*r**3 + 0*r - 1/2*r**5 + 0.
-r**2*(r + 1)**3/2
Let r(i) be the first derivative of -i**4/26 - 14*i**3/39 - 14*i**2/13 - 16*i/13 - 70. Determine b, given that r(b) = 0.
-4, -2, -1
Factor 2 + b + 7 - 8*b**2 - b**2 + 27*b**3 - 28*b**3.
-(b - 1)*(b + 1)*(b + 9)
Let l(h) = 5*h**2 + 280*h + 730. Let g(x) = 7*x**2 + 420*x + 1093. Let q(c) = 5*g(c) - 8*l(c). Determine i, given that q(i) = 0.
-25, -3
Let v(z) be the third derivative of -z**5/15 - 7*z**4/3 - 16*z**3 + 25*z**2 - z. Let v(j) = 0. What is j?
-12, -2
Let z(k) be the second derivative of -k**5/20 - k**4/16 + 3*k**3/4 - 15*k**2/2 + 10*k. Let j(f) be the first derivative of z(f). What is d in j(d) = 0?
-3/2, 1
Let s be (1 + (-30)/25)*-4. Factor s*g**2 + 4/5*g - 8/5.
4*(g - 1)*(g + 2)/5
Let u(n) be the second derivative of -n**6/60 - 13*n**5/40 + 21*n**4/8 - 83*n**3/12 + 17*n**2/2 - 40*n + 5. Suppose u(v) = 0. Calculate v.
-17, 1, 2
Let u(o) be the first derivative of -o**6/6 + 5*o**4/12 - 3*o + 9. Let k(j) be the first derivative of u(j). Factor k(c).
-5*c**2*(c - 1)*(c + 1)
Let l(o) = -3*o**3 + 70*o**2 - 25*o + 50. Let p be l(23). Let r(j) be the second derivative of 5*j + 0*j**2 + 0 - 1/6*j**p + 0*j**3 + 1/10*j**5. Factor r(t).
2*t**2*(t - 1)
Let b = 19 + -1. Let a be ((-24)/b + 2)*4. Let 2/3*c**2 + a + 8/3*c = 0. What is c?
-2
Let r = 3254 - 3251. Factor 2*l - 1/2*l**4 + 3/2*l**2 - 2 - l**r.
-(l - 1)**2*(l + 2)**2/2
Let w(s) be the first derivative of s**3 + 39*s**2/2 - 42*s - 45. Factor w(z).
3*(z - 1)*(z + 14)
Suppose 2*p = -0*z + 3*z - 8, 5*p = -2*z - 1. Let w(x) be the second derivative of 1/4*x**4 + 2*x + 0 + 6*x**2 + z*x**3. Factor w(r).
3*(r + 2)**2
Let t(f) = -16*f**2 + 62*f + 16. Let l(c) = -c**2 + 1. Let a(v) = 2*l(v) - t(v). Let p(k) = -27*k**2 + 125*k + 27. Let g(s) = -5*a(s) - 2*p(s). Factor g(x).
-4*(x - 4)*(4*x + 1)
Let q(t) be the first derivative of 6 + t**2 - 2/3*t**3 - 2/3*t + 1/6*t**4. Factor q(f).
2*(f - 1)**3/3
Let p(y) = -33*y**4 - 309*y**3 + 1119*y**2 - 1539*y + 699. Let s(a) = 3*a**4 + 31*a**3 - 112*a**2 + 154*a - 70. Let q(t) = -2*p(t) - 21*s(t). Factor q(x).
3*(x - 6)*(x - 2)**2*(x - 1)
Let c(w) be the second derivative of -w**4/48 + 11*w**3/24 - 18*w. Suppose c(x) = 0. What is x?
0, 11
Let t(h) = -6*h**3 - 16*h**2 - 36*h + 4. Let y(l) = 8*l**3 + 16*l**2 + 35*l - 5. Let g(x) = -5*t(x) - 4*y(x). Factor g(f).
-2*f*(f - 10)*(f + 2)
Let q(b) be the first derivative of -1/9*b**2 + 1/54*b**4 + 12 + 3*b + 1/90*b**5 - 1/27*b**3. Let p(a) be the first derivative of q(a). Factor p(v).
2*(v - 1)*(v + 1)**2/9
Let x(g) be the second derivative of g**7/14 - 11*g**6/10 + 51*g**5/20 + 11*g**4/4 - 9*g**3 + 79*g + 4. Find r, given that x(r) = 0.
-1, 0, 1, 2, 9
Let u = 10203/7 + -1455. Let k = -222 + 1562/7. Factor k*q**3 + 12/7*q - u*q**2 - 2/7.
2*(q - 1)**2*(4*q - 1)/7
Let a(t) be the first derivative of -8*t**3 + 23*t**2/2 - t - 25. Let s(m) = 11*m**2 - 11*m. Let v(g) = 6*a(g) + 13*s(g). Factor v(c).
-(c + 2)*(c + 3)
Let f = -21 - -23. Determine s, given that 27*s**3 + 37*s**3 - 4 - 12*s - 68*s**3 - 12*s**f = 0.
-1
Let j be (3/5 - 4/20)*5. Let a(g) be the second derivative of -2*g + 0 - 1/66*g**4 + 0*g**j + 0*g**3. Factor a(y).
-2*y**2/11
Suppose 2*i - 4*c = i - 13, -4*i - 2*c = -20. Suppose i - 5 = -w. Determine j so that -2*j + j**4 + j**3 - 2*j**4 - 5*j**w - 2*j**3 - 3*j**3 = 0.
-2, -1, 0
Let b(f) be the first derivative of -10*f**3/3 - 3*f**2 - 32. Suppose b(m) = 0. Calculate m.
-3/5, 0
Suppose 11*r - 1896 = -510. Let o = -374/3 + r. Factor -4/3 + 8/3*n - o*n**2.
-4*(n - 1)**2/3
Let n be ((-25)/5 - -1)*-4. Suppose 4*v - 28 = -n. Factor 32/9*z**v - 14/9*z**4 + 0*z + 0 - 8/9*z**2.
-2*z**2*(z - 2)*(7*z - 2)/9
Let o be 5/(-15) + (-640)/(-315). Let t = o - 14/9. What is d in 0 + 3/7*d + t*d**2 = 0?
-3, 0
Let l(u) be the first derivative of 2*u**3/57 - 41*u**2/19 - 84*u/19 - 271. Factor l(w).
2*(w - 42)*(w + 1)/19
Suppose -6*n + 9*n = 0. Suppose n = -f - f + 28. Determine s so that -8*s + f*s + s**2 - 3*s**2 = 0.
0, 3
Let w(a) be the second derivative of a**