ose 7 - 27 = -5*t - 4*n, 5*t - 2*n = 20. Factor -t*i + i + 7*i + 2*i**2 + 2*i**2.
4*i*(i + 1)
Let k(j) = -44*j**3 + 40*j**2 + 108*j + 64. Let i(u) = 5*u**3 + u**2 - 1. Let c(h) = -8*i(h) - k(h). Let c(y) = 0. What is y?
-1, 14
Let k be (16/108)/((-4 + 2)/(-6)). Factor 40/9 + 4/3*d - k*d**2.
-4*(d - 5)*(d + 2)/9
Let a(d) be the second derivative of d**6/30 - 21*d**5/20 + 19*d**4/12 + 7*d**3/2 - 10*d**2 - 77*d. What is m in a(m) = 0?
-1, 1, 20
Let n(z) be the third derivative of 0 - 150*z**3 - 1/15*z**5 + 17*z**2 - 5*z**4 - z. Determine a so that n(a) = 0.
-15
Let j(z) be the third derivative of -z**6/780 + z**5/390 + z**4/78 - 15*z**2 - 4. Factor j(m).
-2*m*(m - 2)*(m + 1)/13
Let s = 395 - 392. Let c(a) be the first derivative of -3 + 4/21*a**s + 2/5*a**5 + 0*a + 0*a**2 - 9/14*a**4. Let c(i) = 0. Calculate i.
0, 2/7, 1
Suppose -2*a - a - 15 = 0, -4*o - 3*a = 43. Let v = o + 15. Factor -11*r**4 + 13*r**4 + 6*r**2 + 2*r**2 - v*r**3.
2*r**2*(r - 2)**2
Let s(t) = -11*t**3 + 39*t**2 - 14*t + 4. Let g(q) = -100*q**3 + 350*q**2 - 125*q + 35. Let x(z) = 4*g(z) - 35*s(z). What is y in x(y) = 0?
0, 1/3, 2
Let d be (-2)/(-7) - 11458/119. Let l = 385/4 + d. Determine c so that l*c**2 - 1/2 - 1/4*c = 0.
-1, 2
Let u(l) = -14*l**2 - 5*l - 3. Suppose -9*j = -8*j + 4. Let w(f) = -5*f**2 - 2*f - 1. Let r(h) = j*u(h) + 11*w(h). Factor r(k).
(k - 1)**2
Factor 0 + 36/19*i**2 + 2/19*i**3 - 2*i.
2*i*(i - 1)*(i + 19)/19
Let m(y) be the first derivative of 1/3*y**3 + 3 + 9*y**2 + 81*y. Suppose m(j) = 0. What is j?
-9
Let d(f) be the second derivative of -f**4/12 + 5*f**3/2 - 7*f**2 + f - 4. Factor d(t).
-(t - 14)*(t - 1)
Let z(v) = v**3 - 5*v**2 - 7*v + 8. Let c be z(6). Let y = 341/2 + -170. Suppose 1/2 + y*q**c + q = 0. Calculate q.
-1
Suppose -4*f - 25*h = -21*h - 28, 2*h - 8 = 0. Factor 0*k**2 + 4/7*k**4 + 0*k - 4/7*k**f + 0.
4*k**3*(k - 1)/7
Let t = 36 + -29. Determine j, given that -2*j**3 - j - 2*j**2 - 7*j + j**2 - t*j**2 = 0.
-2, 0
Suppose 8/9*v + 2/9*v**2 - 2/9*v**3 - 8/9 = 0. What is v?
-2, 1, 2
Let k(f) be the first derivative of -1/5*f**5 + 4*f**2 - 16 + 4/3*f**3 + 0*f - 1/2*f**4. Factor k(x).
-x*(x - 2)*(x + 2)**2
Let y(n) = 3*n**3 + 2*n - 1. Let k be y(1). Suppose -3*d + 6 = l - 3, 17 = k*d + 3*l. Factor -2*p**d - 1/3*p - 4/3*p**5 - 13/3*p**3 - 4*p**4 + 0.
-p*(p + 1)**2*(2*p + 1)**2/3
Let p be 2/((-8)/(-6)) - (-75)/(-90). Factor -p*o**3 + 0*o - 2/9*o**5 - 2/3*o**4 + 0 - 2/9*o**2.
-2*o**2*(o + 1)**3/9
Let k(i) = 7*i**2 + 48*i + 38. Let n be k(-6). Factor -1/4 - 1/4*t**3 + 1/4*t**n + 1/4*t.
-(t - 1)**2*(t + 1)/4
Let q = -39 - -41. Let n be 1*(2 - -1) + 0. Factor -2 + f**n + 4*f**q + 4*f - 5*f**3 + 0 - 2.
-4*(f - 1)**2*(f + 1)
Suppose 6 = 6*h - 9*h. Let l = 0 - h. Factor 0*d**l + 0*d + 2*d + 2*d - 4*d**2.
-4*d*(d - 1)
Let w(s) be the first derivative of -2/15*s**5 + 0*s**2 + 0*s**4 - 2/3*s - 22 + 4/9*s**3. Factor w(t).
-2*(t - 1)**2*(t + 1)**2/3
Let s(j) = -22*j + 22. Let o be s(1). Let f(q) be the third derivative of o*q - 1/42*q**4 + 1/21*q**3 + 0 - 3*q**2 + 1/210*q**5. Factor f(z).
2*(z - 1)**2/7
Let q(h) be the second derivative of -h**6/20 - 21*h**5/40 - 3*h**4/2 + h**3 + 12*h**2 - 8*h - 2. Find c such that q(c) = 0.
-4, -2, 1
Let u(a) be the second derivative of a**5/20 + 7*a**4/12 - a**3/6 - 5*a**2/2 + 5*a. Let l be u(-7). Let 16*h**2 - 3 - 12*h**l - 2*h**2 + h = 0. What is h?
-3/2, 1
Let s(t) be the third derivative of 10*t**2 + 1/3*t**4 + 0*t**3 + 0*t + 1/60*t**6 + 1/6*t**5 + 0. Find o such that s(o) = 0.
-4, -1, 0
Let d = 41/36 + 1/252. Let n = 1394/7525 - -108/1075. Solve d*q**3 + 0 + 0*q - 8/7*q**2 - n*q**4 = 0 for q.
0, 2
Let h(a) be the second derivative of -2*a**2 - 8/3*a**4 + 1/21*a**7 - 2/5*a**6 + 6*a + 7/5*a**5 + 3*a**3 + 0. Find s, given that h(s) = 0.
1, 2
Let c be (-8)/(-12) - 13/(-3). Suppose 16 = -k - 5*s, c*k + s = -0*k + 16. Determine x so that x**3 + 13*x**2 - 21*x**2 + k*x + 3*x**3 = 0.
0, 1
Let w(d) be the first derivative of -9/22*d**2 + 10/11*d - 1/33*d**3 + 29. Factor w(p).
-(p - 1)*(p + 10)/11
Let y(v) be the second derivative of 2*v**7/105 - v**5/5 + v**4/3 - 5*v**2 + 12*v. Let w(f) be the first derivative of y(f). Factor w(b).
4*b*(b - 1)**2*(b + 2)
Let q(k) be the first derivative of -7*k**5/5 + 13*k**4/2 - 13*k**3/3 - 3*k**2 - 22. Suppose q(g) = 0. Calculate g.
-2/7, 0, 1, 3
Let i be (-3 - 0)*2/((-552)/115). Factor i + 5/4*m**3 + 15/4*m**2 + 15/4*m.
5*(m + 1)**3/4
Let i = -6/7813 - -7837/31252. Factor 0*m**2 - i*m**3 + 0 + 0*m.
-m**3/4
Suppose -6 = -2*y, -2*z + 4*y = -6*z + 12. Let x be z*(-1)/3 - 0. Solve 18 + x*v + 2*v**2 - 4*v + 10*v + 6*v = 0.
-3
Let w = 248/39 - 196/39. Factor 0 - 4/3*t**3 - 4/3*t**4 + w*t + 4/3*t**2.
-4*t*(t - 1)*(t + 1)**2/3
Let c(v) = -32*v**4 - 65*v**3 + 49*v**2 + 39*v. Let i(s) = -16*s**4 - 32*s**3 + 24*s**2 + 20*s. Let p(f) = 4*c(f) - 9*i(f). Factor p(x).
4*x*(x - 1)*(x + 2)*(4*x + 3)
Let q(w) be the first derivative of -2*w**3/21 - 2*w**2/7 + 18*w + 346. Factor q(l).
-2*(l - 7)*(l + 9)/7
Suppose -3*x - 23 + 32 = 0. Find i such that 15/2*i**x + 5*i**4 + 0 + 5*i**2 + 5/4*i**5 + 5/4*i = 0.
-1, 0
Suppose q = 2*d - 4*q - 6, -d = 5*q - 3. Solve -d*y + 4 + 5*y**2 - 13 - 3*y**2 + 4*y**2 = 0.
-1, 3/2
Let d(s) = -s**2 + 18*s + 58. Let n be d(17). Suppose n*q - 2 = 74*q. Determine t, given that t**q - 2/7*t - 3/7*t**3 + 0 - t**4 + 5/7*t**5 = 0.
-1, 0, 2/5, 1
Let l(o) = -4*o**3 + 24*o**2 + 34*o - 56. Let s(j) = -j**4 + 8*j**3 - 48*j**2 - 67*j + 113. Let h(f) = 5*l(f) + 2*s(f). Factor h(k).
-2*(k - 3)*(k - 1)*(k + 3)**2
Let u = -453/5 + 38057/420. Let l(d) be the third derivative of 0*d + 1/210*d**5 + u*d**4 + 0*d**3 + 0 + 5*d**2. Factor l(v).
2*v*(v + 1)/7
Let t(d) = -13 + d + 40 + 2*d. Let b be t(-8). Factor -2/3*m**2 + 0 + 0*m**b + 2/9*m**4 - 4/9*m.
2*m*(m - 2)*(m + 1)**2/9
Let h = -7/40 - -317/440. Find a, given that 2/11 + h*a**2 + 6/11*a + 2/11*a**3 = 0.
-1
Factor -9690*i**4 + 51*i**2 - 15*i**2 + 9687*i**4 - 3*i**5 + 24*i**3.
-3*i**2*(i - 3)*(i + 2)**2
Let j(f) be the first derivative of f**4/4 - 5*f**3/4 - 9*f**2/4 + 4*f + 11. Let p(l) be the first derivative of j(l). Let p(y) = 0. What is y?
-1/2, 3
Let y(r) = r**3 - 16*r**2 - 17*r - 6. Let x be y(17). Let z = 9 + x. Determine v, given that -v**3 - 2*v**3 + 3*v - 2*v + v**5 + v**z = 0.
-1, 0, 1
Factor 1 - 5/4*k**3 - 1/4*k**4 + 5/4*k - 3/4*k**2.
-(k - 1)*(k + 1)**2*(k + 4)/4
Let j(a) be the second derivative of a**5/100 + 2*a**4/3 - 127*a**3/30 + 43*a**2/5 + 2*a - 179. What is p in j(p) = 0?
-43, 1, 2
Let m(u) be the first derivative of u**4/8 + u**3/2 - 4*u + 15. Let g(p) be the first derivative of m(p). Factor g(w).
3*w*(w + 2)/2
Let z = -17 + 20. Let f be -5*(16/(-10))/2. Factor 0 + 1/3*w**z + 0*w + 0*w**2 - 1/3*w**f.
-w**3*(w - 1)/3
Let q be ((-35)/(-490))/(125/(-35) + 4). Factor -1/3*w**3 + 1/6*w**2 + q*w**4 + 0*w + 0.
w**2*(w - 1)**2/6
Suppose -d + 16 = 15. Let j(c) be the first derivative of 1/14*c**4 + 3/7*c**2 - 18/7*c + d + 10/21*c**3. Factor j(h).
2*(h - 1)*(h + 3)**2/7
Let x(n) be the first derivative of -n**5/60 - n**4/24 + n**3/3 + n**2/2 - 9. Let l(w) be the second derivative of x(w). Factor l(d).
-(d - 1)*(d + 2)
Solve -336/5*s**4 + 176/5*s**2 + 36/5*s + 0 + 36/5*s**5 + 88/5*s**3 = 0.
-1/3, 0, 1, 9
Let m be (83/(-332))/(18/(-40)). Find v such that 8/9*v + 1/3 + m*v**2 = 0.
-1, -3/5
Let a = 17408491/64204 - 5/9172. Let w = 272 - a. Factor 2/7 + 8/7*d**3 + 0*d**2 - w*d.
2*(d + 1)*(2*d - 1)**2/7
Let l(b) be the first derivative of -b**4/20 + b**3/3 - b**2/5 - 8*b/5 - 43. Factor l(g).
-(g - 4)*(g - 2)*(g + 1)/5
Let s(j) be the second derivative of -3*j**5/20 - 37*j**4/4 - 71*j**3/2 - 105*j**2/2 + 137*j - 1. Let s(p) = 0. What is p?
-35, -1
Let n(x) = -3*x**4 - 24*x**3 + 3*x**2 + 12*x. Let l(r) = -r**4 - r**3 + r**2 - r. Let j(k) = 6*l(k) - n(k). Factor j(p).
-3*p*(p - 6)*(p - 1)*(p + 1)
Let t be (14/84)/((-18)/(-12)). Let x(z) be the second derivative of -t*z**3 + 1/54*z**4 + 0 - 9*z - 4/9*z**2. Factor x(p).
2*(p - 4)*(p + 1)/9
Let g(c) be the third derivative of c**6/600 - 7*c**5/300 + 320*c**2. Find d such that g(d) = 0.
0, 7
Let o(x) = 3*x**2 - 584*x + 570. Let m(d) = -d**2 + 146*d - 142. Let p(k) = 22*m(k) + 6*o(k). Factor p(j).
-4*(j - 1)*(j + 74)
Let k(g) be the second derivative of g**8/504 - g**6/180 + g**2 + 3*g. Let y(x) b