2)/7
Let m(w) be the first derivative of w**7/420 + w**6/90 + 4*w**3 - 23. Let f(x) be the third derivative of m(x). Determine l, given that f(l) = 0.
-2, 0
Find b, given that -4/9*b**3 + 16/9*b - 2/3*b**2 + 2/9*b**4 - 8/9 = 0.
-2, 1, 2
Factor -273*h**3 + 498*h**3 - 5*h**4 - 260*h**3 - 50*h**2.
-5*h**2*(h + 2)*(h + 5)
Let q = -3746 - -7493/2. Determine k, given that 0*k**2 + 1 - q*k**3 + 3/2*k = 0.
-1, 2
Let i be 9/6 - (-4)/(-8). Let o = i + 4. Let m(s) = -s**2 - 3*s + 4. Let h(k) = k**2 + k - 2. Let b(j) = o*h(j) + 3*m(j). Let b(f) = 0. Calculate f.
1
Let g(n) be the first derivative of -n**6/20 - 9*n**5/5 - 27*n**4 - 216*n**3 - 972*n**2 - 4*n - 13. Let m(y) be the first derivative of g(y). Solve m(b) = 0.
-6
Solve -30/13*b**4 + 212/13*b**3 + 336/13*b - 470/13*b**2 - 72/13 = 0.
2/5, 2/3, 3
Let p**2 - 2*p - 15*p + 12*p = 0. Calculate p.
0, 5
Let q(b) be the third derivative of b**8/1344 + b**7/168 + 5*b**6/288 + b**5/48 + 7*b**3/2 + 13*b**2. Let i(h) be the first derivative of q(h). Factor i(g).
5*g*(g + 1)**2*(g + 2)/4
What is v in -4/5*v**3 - 36*v - 48/5*v**2 - 40 = 0?
-5, -2
Let p(m) be the first derivative of 2/3*m**3 + 21 - 3*m**2 - 4*m + 3/2*m**4 + 2/5*m**5. Factor p(r).
2*(r - 1)*(r + 1)**2*(r + 2)
Let u(k) = -k + 6. Let i be u(1). Suppose -5*v + i*v = -7*v. Factor 3/2*c**3 + v*c**2 + 0 + 0*c.
3*c**3/2
Let h(i) be the third derivative of 0 - 1/6*i**4 + 2*i**2 + 2/15*i**5 - 1/3*i**3 + 0*i - 7/360*i**6. Let z(g) be the first derivative of h(g). Factor z(p).
-(p - 2)*(7*p - 2)
Let k = -11 + 15. Factor -749*j**5 - k*j**4 + 754*j**5 + 9*j**4.
5*j**4*(j + 1)
Let r be ((15/(-36)*-4)/(-1))/4. Let a = 1/4 - r. What is p in -a - 4/3*p**3 - 1/3*p**5 + 5/3*p + 4/3*p**4 - 2/3*p**2 = 0?
-1, 1, 2
Let f be ((-138)/(-1035)*-15)/(0 - 6/5). Factor 0*x**2 + 0*x**4 + 0 + 0*x + f*x**5 - 5/3*x**3.
5*x**3*(x - 1)*(x + 1)/3
Suppose -f - a + 6 = 0, 0 = -2*f + a - 0*a + 15. Suppose 0 = f*r - 3*r - 8. What is w in 123 - w**2 - r*w - 123 = 0?
-2, 0
Let g(o) be the first derivative of o**6/10 + 3*o**5/5 + 21*o**4/20 + 3*o**3/5 + 215. Suppose g(d) = 0. What is d?
-3, -1, 0
Let h(r) be the second derivative of 3*r**7/14 - r**6/2 - 3*r**5/5 + r**4 + 10*r - 5. Determine x so that h(x) = 0.
-1, 0, 2/3, 2
Let v(p) = 7 + 4*p**3 - 4*p + 5*p**2 - 5*p**3 + 2*p**2 + 2. Let n be v(6). Suppose -n*l**4 + 0 + 24*l + l**3 + 5*l**3 + 63*l**2 - 12 = 0. Calculate l.
-1, 2/7, 2
Let n be ((-79)/237)/((-2)/12). Let z(d) be the second derivative of d - n*d**2 + 0 - 1/6*d**4 + d**3. Suppose z(q) = 0. Calculate q.
1, 2
Let h(c) = -19*c**3 + 6*c**2 - c - 13. Let y(s) = -4*s**3 - s**2 - s**3 + 8*s**3 + 0 + 2. Let t(u) = 6*h(u) + 39*y(u). Find a such that t(a) = 0.
-1, 0, 2
Suppose -13*m + 14*m - 2*c - 5 = 0, c + 7 = 2*m. Let z(t) be the second derivative of 11*t + 1/20*t**4 + 0 + 6/5*t**2 + 2/5*t**m. Factor z(v).
3*(v + 2)**2/5
Let f be (12/1)/(3 - (-3665)/(-1225)). Let t = f - 7302/5. Suppose -72/5*w - 27/5*w**2 - 3/5*w**3 - t = 0. What is w?
-4, -1
Let a(x) = -x**3 + 15*x**2 - 9*x - 20. Let q be a(14). Determine o so that -q*o**4 + 12*o**3 + 32*o**2 - 22*o**3 - 3*o - 5*o = 0.
-1, 0, 2/5
Let s(g) be the first derivative of -g**3/15 - 9*g**2/10 + 52*g/5 - 510. Factor s(j).
-(j - 4)*(j + 13)/5
Let o(m) be the third derivative of 24*m**2 + 0*m - 1/2205*m**7 + 0 + 1/630*m**6 - 4/63*m**3 - 1/63*m**4 + 1/210*m**5. Factor o(y).
-2*(y - 2)**2*(y + 1)**2/21
Let q = 263/26 + -125/13. Determine m so that q*m**2 + 0 + m = 0.
-2, 0
Let c be (324/(-8))/(264/(-32)). Solve -c*p + 0 + 16/11*p**4 + 36/11*p**3 + 2/11*p**5 + 0*p**2 = 0 for p.
-3, 0, 1
Let b = 93 + 56. Let u = b - 101. Suppose 9 + 7 + 88*n**3 + 16*n**4 - 49*n**2 + 68*n**4 - u*n - 11*n**2 = 0. What is n?
-1, 2/7, 2/3
Let p be 549/(-6) + ((-2)/4)/1. Let h = p - -92. Let 6/7*g**2 - 4/7*g - 6/7*g**4 + 2/7*g**5 + h + 2/7*g**3 = 0. Calculate g.
-1, 0, 1, 2
Factor -349*s + 219*s - 2*s**2 + 172*s.
-2*s*(s - 21)
Let v(d) be the third derivative of -d**5/75 - 4*d**4/3 - 160*d**3/3 - 3*d**2 - 4. Factor v(o).
-4*(o + 20)**2/5
Factor 0 + 3/7*f**3 - 54/7*f - 9/7*f**2.
3*f*(f - 6)*(f + 3)/7
Let c(y) be the second derivative of y**4/6 + 7*y**3/3 - 30*y**2 + 78*y. Suppose c(f) = 0. Calculate f.
-10, 3
Let j(l) be the first derivative of l**6/27 + 2*l**5/45 - l**4/18 - 2*l**3/27 + 85. Factor j(u).
2*u**2*(u - 1)*(u + 1)**2/9
Let q(x) be the third derivative of -x**6/210 - 23*x**5/420 - x**4/12 + 5*x**3/42 + 139*x**2. Determine h, given that q(h) = 0.
-5, -1, 1/4
Let n(j) = j**5 + j**4 + 10*j**3 - 2*j**2 + 5. Let r be (15 - 18)/((-6)/10). Let h(x) = -x**5 - 9*x**3 + 2*x**2 - 4. Let o(z) = r*h(z) + 4*n(z). Factor o(p).
-p**2*(p - 2)*(p - 1)**2
Let t(m) be the third derivative of m**5/40 - 43*m**4/8 + 1849*m**3/4 - 70*m**2. Solve t(v) = 0.
43
Let y be (-8)/6*(85/595 - 16/14). Factor -y - 5/3*a - 1/3*a**2.
-(a + 1)*(a + 4)/3
Suppose 5*x + 3*y - 60 = 5*y, 48 = 4*x + 4*y. Suppose 22*a**3 - x*a**4 + a**5 - 16*a**3 + 42*a**3 - 64*a**2 = 0. Calculate a.
0, 4
Suppose -39*p - 28*p - p**3 - 3*p + 17*p + 24*p**2 - 338 - 64*p = 0. Calculate p.
-2, 13
Solve 1/2*b**3 - 1/4*b**4 + 1/4*b**2 + 0 - 1/2*b = 0.
-1, 0, 1, 2
Let m(w) be the first derivative of w**6/6 - 3*w**5/5 + w**4/4 + w**3 - w**2 + 142. Factor m(v).
v*(v - 2)*(v - 1)**2*(v + 1)
Let m(k) be the second derivative of 1/420*k**6 + 1/70*k**5 + 0*k**3 + 0*k**4 - 6*k - k**2 + 0. Let b(u) be the first derivative of m(u). Factor b(s).
2*s**2*(s + 3)/7
Let y(g) be the first derivative of g**6/1620 - 7*g**5/270 + 49*g**4/108 + 4*g**3/3 + 28. Let n(l) be the third derivative of y(l). Let n(z) = 0. Calculate z.
7
Suppose 0 = 1036*k - 1035*k. What is z in z**2 - 3/2*z**3 + 0*z + 1/2*z**4 + k = 0?
0, 1, 2
Let v be 1*15/18*20/(1000/90). Factor 54*a**2 + 18*a**3 + 0*a + v*a**4 + 0.
3*a**2*(a + 6)**2/2
Let y(i) = 2*i**2 - 16*i. Let o be y(8). Determine n so that -122*n**2 + 4*n + 10*n**5 - 15*n**3 + n + 5*n**4 + o*n**5 + 117*n**2 = 0.
-1, 0, 1/2, 1
Let m(k) be the second derivative of -3*k**4/26 + 19*k**3/39 + 28*k**2/13 + 85*k. Determine u so that m(u) = 0.
-1, 28/9
Suppose 14*c + 27 = 17*c. Factor 2*o + 25*o**2 + 10*o**3 - 3*o - c*o - 5*o**4 + 5*o**5 - 25*o**3.
5*o*(o - 1)**3*(o + 2)
Let v = 6917/1214 + -120/607. Suppose 16*b - 24 + v*b**4 + 16*b**2 - 1/2*b**5 - 18*b**3 = 0. Calculate b.
-1, 2, 6
Suppose -5*k - 33 = -2*x, 9*k + 25 = 4*k. Suppose 2*v - 3 = -q + v, -x*v + 14 = 5*q. Factor 4/3*r - q + 2/3*r**2.
2*(r - 1)*(r + 3)/3
Let x(s) be the first derivative of s**7/140 - s**6/40 - 3*s**5/40 + s**4/4 - 28*s**3/3 - 27. Let d(p) be the third derivative of x(p). Solve d(o) = 0 for o.
-1, 1/2, 2
Let n(h) = h**2 + 2*h - 23. Let x be n(-7). Factor -7*s**2 + 5*s + 0*s**2 + x*s**2.
5*s*(s + 1)
Factor 6/11 + 10/11*v - 4/11*v**2.
-2*(v - 3)*(2*v + 1)/11
Suppose 2*u = -w + 3, 3*w - 4*u - 17 + 8 = 0. Factor 2/5*g**w + 0 - 14/5*g**2 - 16/5*g.
2*g*(g - 8)*(g + 1)/5
Let g be (-6)/27*(-279)/31. Let t(f) be the second derivative of -2*f**g - 3/10*f**5 - 4*f - 4/3*f**4 + 0 - 7/3*f**3. Factor t(r).
-2*(r + 1)**2*(3*r + 2)
Let t = -17 - -17. Let m be t*2/(-4)*1. Solve 0*h - 4*h + 6*h**3 + 2*h**2 + 0*h**2 + m*h = 0 for h.
-1, 0, 2/3
Let -171/5*y - 3/5*y**2 + 0 = 0. Calculate y.
-57, 0
Let a(y) be the second derivative of 3*y**5/40 - 53*y**4/24 - 5*y**3/3 + 9*y**2 - 70*y. Solve a(w) = 0 for w.
-1, 2/3, 18
Let a(c) be the second derivative of 5*c**4/48 - 5*c**3/3 + 15*c**2/2 + 23*c - 5. Factor a(d).
5*(d - 6)*(d - 2)/4
Solve 2/7*c**4 + 0 + 16/7*c**2 + 8/7*c + 10/7*c**3 = 0.
-2, -1, 0
Let b = -698 + 702. Let 0*o - 4/3*o**2 + 0 - 2/3*o**b - 2*o**3 = 0. Calculate o.
-2, -1, 0
Let g be (13 + -1*(-1311)/(-105))/(2/28). Suppose 4/5 - g*a + 13*a**2 = 0. Calculate a.
2/13, 2/5
Let d(f) be the third derivative of 2*f**7/735 + f**6/105 - 11*f**5/105 - 2*f**4/7 + 24*f**3/7 - f**2 - 137. Factor d(x).
4*(x - 2)**2*(x + 3)**2/7
Let o(n) be the second derivative of -3*n**5/4 + 2*n**4 - n**3/2 - 3*n**2 + 33*n. Factor o(f).
-3*(f - 1)**2*(5*f + 2)
Let o = -61 + 85. Suppose 0 = -2*s + 8, 7*s - 3*s - o = -4*d. Determine u, given that 9*u**4 + 3*u**5 + 9*u**3 - 12*u**2 + 7*u**2 + 8*u**d = 0.
-1, 0
Suppose -16 = -0*v - 4*v. Suppose -3*p = v*q - 8*p - 46, 2*p = 4*q - 52. Solve i**4 - 13 - 2*i**2 + 0*i**4 + q = 0.
-1, 1
Let n be (266/42)/((-2)/36). Let s = 116 + n. Find