 9/5*v**d - 3*v**2 + 3/5*v**5 - 6/5*v = 0 for v.
-1, 0, 2
Suppose -n + 3*m - 255 = 0, n + 4*m = 3*m - 267. Let s = -264 - n. What is l in s*l + 9/4*l**3 + 0 - 3/2*l**4 - 3/4*l**2 = 0?
0, 1/2, 1
Let f(k) = k**2 + 13*k + 50. Let j be f(-4). Factor r - 5*r - 8*r**2 + j + 10*r**2 - 12.
2*(r - 1)**2
Let p(f) be the third derivative of f**6/600 - 2*f**5/75 + 17*f**4/120 - f**3/3 - 137*f**2. Let p(y) = 0. Calculate y.
1, 2, 5
Let c = 500 - 496. Let j(m) be the first derivative of -4 - 1/6*m**3 + 0*m**2 + 0*m + 1/16*m**c. Factor j(s).
s**2*(s - 2)/4
Let m(x) be the third derivative of x**6/264 - 23*x**5/660 - 5*x**4/132 - 2*x**2 + 9*x. Factor m(s).
s*(s - 5)*(5*s + 2)/11
Let -18 - 23 - 18 - 22*s**2 + 3 + 37*s + 2*s**3 + 27*s = 0. Calculate s.
2, 7
Find m, given that -18/13*m**2 - 482/13*m + 108/13 = 0.
-27, 2/9
Let c(k) be the first derivative of k**3 - 123*k**2 + 5043*k - 152. Factor c(x).
3*(x - 41)**2
Let f be (2/(-3) + -1)*3/((-495)/154). Factor 0*i + 2/3*i**3 + 0 + f*i**5 - 4/9*i**2 + 8/3*i**4.
2*i**2*(i + 1)**2*(7*i - 2)/9
Let a(m) = -3*m**3 - 34*m**2 - 52*m + 68. Let u(y) = 11*y**2 - 4*y - 23 + 21*y + 0*y**3 + 3*y**3 - 2*y**3. Let b(q) = -4*a(q) - 14*u(q). Factor b(o).
-2*(o - 1)*(o + 5)**2
Let b(l) be the third derivative of -l**8/12096 + l**7/1890 + l**6/540 + 13*l**5/60 + 9*l**2. Let f(u) be the third derivative of b(u). Factor f(w).
-(w - 2)*(5*w + 2)/3
Let z = 46 + -44. Suppose -5*m + 8 + 40 = z*v, -5*v = -4*m + 45. Factor 8/5 - 48/5*k - m*k**3 + 18*k**2.
-2*(k - 1)*(5*k - 2)**2/5
Factor v**4 + 0 + 20/3*v**2 - 8*v + 22/3*v**3.
v*(v + 2)*(v + 6)*(3*v - 2)/3
Let q(f) = -f**3 + 4*f**2 - 3*f - 4. Suppose 4*u + 33 = 5*u. Let v(c) = 9*c**3 - 33*c**2 + 24*c + 33. Let i(g) = u*q(g) + 4*v(g). Factor i(k).
3*k*(k - 1)*(k + 1)
Factor 3/2*t + 1/4*t**4 + 11/4*t**2 + 3/2*t**3 + 0.
t*(t + 1)*(t + 2)*(t + 3)/4
Factor -2/3*i**4 + 0*i - 8/3*i**2 - 8/3*i**3 + 0.
-2*i**2*(i + 2)**2/3
Let v = 92 + 27. Let c be (-578)/v - (1 - 6). Determine x, given that -2/7*x + 1/7*x**2 + c = 0.
1
Let h be ((324/(-42))/9)/(10/(-35)). Let j(a) be the first derivative of 3 + 1/18*a**h + 1/18*a**6 + 1/6*a**5 + 0*a**2 + 1/6*a**4 + 0*a. Factor j(c).
c**2*(c + 1)**2*(2*c + 1)/6
Suppose -2*g = s, -2*g + 10*s - 16 = 15*s. Let x(k) be the first derivative of -5/6*k**g - k - 1/9*k**3 + 1/12*k**4 - 2. Find j such that x(j) = 0.
-1, 3
Let p(t) be the second derivative of t**5/50 + t**4/5 + 8*t**3/15 - 2*t - 90. Solve p(r) = 0 for r.
-4, -2, 0
Let d be 4/(-6)*(-9)/(-6) + 135/27. Suppose 0 + 3/4*a**3 - 3/4*a + 3/4*a**d - 3/4*a**2 = 0. What is a?
-1, 0, 1
Let s(h) = h**4 + 4*h**3 - 7*h**2 - 2. Let u(a) = 5*a**3 - 7*a**2 - a - 3. Let l be (10/15)/(3/9). Let p(v) = l*u(v) - 3*s(v). Factor p(x).
-x*(x - 1)*(x + 2)*(3*x - 1)
Suppose -5*g = -0*g - 10. Factor 8*k**3 - 5*k**2 - 21*k**g - 13 - 7*k + 35*k + 3.
2*(k - 1)**2*(4*k - 5)
Suppose 270*x = 268*x - 4*j - 8, 2*x + 2 = -j. Factor 0*w**3 + x*w - 2/3*w**2 + 1/3*w**4 + 1/3.
(w - 1)**2*(w + 1)**2/3
Let a(x) = -60*x**3 + 20*x**2 + 65*x. Let u = -27 + 33. Let t(l) = -15*l**3 + 5*l**2 + 16*l. Let n(w) = u*a(w) - 25*t(w). Find r such that n(r) = 0.
-2/3, 0, 1
Let h be 0/(1*(-1 + 4 - 5)). Suppose h*a - 5*a = 0. Factor 7/4*i**2 - 1 - 3/4*i**3 + a*i.
-(i - 2)*(i - 1)*(3*i + 2)/4
Let l = -96 - -106. Suppose 5*k = a + 4*a - 20, -5*k + l = a. Factor 0*r - k + 1/4*r**2.
(r - 2)*(r + 2)/4
Let n(s) be the second derivative of -s**5/12 - 5*s**4/4 - 49*s. Factor n(g).
-5*g**2*(g + 9)/3
Let p(y) be the third derivative of -3*y**5/100 + 97*y**4/120 + 11*y**3/15 - 380*y**2. Factor p(m).
-(m - 11)*(9*m + 2)/5
Suppose 0 = -5*t + 3*b - 0*b + 7, -3*b + 13 = 5*t. Suppose -26*w = -21*w - 15. Determine v, given that 2*v**w + 0*v**t - 4*v**2 - 2*v**2 + v**3 = 0.
0, 2
Let m = -31/4 + 33/4. Let c be (-7)/(-14)*(0 + 1). Let -1/2*f - m + 1/2*f**2 + c*f**3 = 0. What is f?
-1, 1
Let p(c) be the first derivative of 2*c**3/27 - c**2 - 44*c/9 - 70. Factor p(h).
2*(h - 11)*(h + 2)/9
Factor 2/15*t**2 + 1352/15 - 104/15*t.
2*(t - 26)**2/15
Let n(h) = 288*h + 4899. Let a be n(-17). Factor 1/2*z - 7/2*z**2 + 3/2 - 5/2*z**a.
-(z + 1)**2*(5*z - 3)/2
Let v(j) be the second derivative of -j**7/1155 + j**6/220 - j**5/110 + j**4/132 - 5*j**2 - 5*j. Let x(w) be the first derivative of v(w). Factor x(a).
-2*a*(a - 1)**3/11
Suppose -4*c + 3*q - 45 = -5*c, -4*q + 84 = 2*c. Let u = -321 - -324. Factor c - 288*k**3 + 14*k + 292*k**u - 20*k**2 - 2*k.
4*(k - 3)**2*(k + 1)
Let b(z) be the second derivative of -z**5/4 - 25*z**4/12 - 20*z**3/3 - 10*z**2 - 49*z. Factor b(r).
-5*(r + 1)*(r + 2)**2
Let c(v) = -11*v**2 + 103*v + 202. Let x(g) = -100*g**2 + 930*g + 1820. Let k(w) = -55*c(w) + 6*x(w). Determine t so that k(t) = 0.
-2, 19
Let w(k) be the first derivative of k**3 + 30*k**2 - 75. Factor w(m).
3*m*(m + 20)
Let l = -31 - -67. Suppose -3*d**2 - 19 - 5 + l = 0. Calculate d.
-2, 2
Let v(g) = -g**4 - 5*g**3 + g**2 + 5. Let k(r) be the third derivative of -r**6/40 + r**3/2 - 14*r**2. Let s(h) = -5*k(h) + 3*v(h). Factor s(d).
-3*d**2*(d - 1)*(d + 1)
Let t(q) be the second derivative of -q**5/4 + 5*q**4/4 - 5*q**3/3 + 11*q. Factor t(b).
-5*b*(b - 2)*(b - 1)
Let g = 33 + -30. Find b, given that -9*b**g + 4*b**4 - b**4 + 5*b**2 + b**2 = 0.
0, 1, 2
Let w be -10 - 19/((-285)/198). Factor 8/5 + 2*n**2 - w*n - 2/5*n**3.
-2*(n - 2)**2*(n - 1)/5
Let t = 13 - 11. Factor t - 2 - 49*q**2 + 3*q**4 + 46*q**2.
3*q**2*(q - 1)*(q + 1)
Let 8/5*u**5 + 0 + 8*u**3 + 12/5*u**2 + 0*u + 36/5*u**4 = 0. What is u?
-3, -1, -1/2, 0
Factor -11 + 2*y**3 + 6*y**2 - 25 - 313*y + 2*y**2 + 307*y.
2*(y - 2)*(y + 3)**2
Let g(w) = -w**3 - w**2 + w. Let u(n) = 8*n**3 + 5*n**2 - 6*n. Let y(k) = 6*g(k) + u(k). Factor y(j).
j**2*(2*j - 1)
Let o(g) be the third derivative of -g**8/224 - g**7/28 - g**6/40 + 7*g**5/20 + 3*g**4/16 - 9*g**3/4 - g**2 - 3*g. Let o(i) = 0. What is i?
-3, -1, 1
Let w(a) = 5*a**3 - 3*a**2 + 5*a - 3. Let u be w(1). Suppose -u*h = -7*h + 9. Determine x, given that 0*x + 0 + 4/9*x**2 - 4/9*x**4 - 2/9*x**5 + 2/9*x**h = 0.
-2, -1, 0, 1
Let n(g) be the first derivative of g**4/8 - 11*g**3/8 + 9*g**2/2 - 2*g - 639. Factor n(x).
(x - 4)**2*(4*x - 1)/8
Factor -5/2*y + 1/2*y**2 - 3.
(y - 6)*(y + 1)/2
Let g = -16 - -13. Let l be (1 - -1) + 1 + g. Factor 6*t**2 + 5*t + 3*t**3 + l + 0 - 2*t.
3*t*(t + 1)**2
Let d(j) = 31*j - 3. Let b be d(1). Factor -b*k + 21*k + 16*k**3 + 15*k - 2*k**4 - 20*k**2 - 2*k**4.
-4*k*(k - 2)*(k - 1)**2
Let s(j) be the first derivative of j**4/16 + 2*j**3/3 + 21*j**2/8 + 9*j/2 + 310. Factor s(g).
(g + 2)*(g + 3)**2/4
Let o(g) be the first derivative of -g**7/105 + g**5/10 - g**4/6 - 19*g**2/2 - 26. Let v(m) be the second derivative of o(m). Factor v(x).
-2*x*(x - 1)**2*(x + 2)
Let h(f) = 5*f**2 - 42*f + 86. Let y(t) = 2*t**2 - 14*t + 28. Let v(g) = -4*h(g) + 11*y(g). Let v(c) = 0. Calculate c.
-9, 2
Let z = 16197 + -48589/3. What is t in -4/3*t + z*t**2 + 0 = 0?
0, 2
Factor -24200/3 - 440/3*q - 2/3*q**2.
-2*(q + 110)**2/3
Let o(l) be the first derivative of l**4/26 + 12*l**3/13 + 33*l**2/13 + 32*l/13 + 655. Factor o(r).
2*(r + 1)**2*(r + 16)/13
Let x(d) be the third derivative of 0*d**3 - 1/112*d**8 + 0*d**4 + 1/70*d**7 - 1/20*d**5 + 0*d + 5*d**2 + 1/40*d**6 + 0. Factor x(p).
-3*p**2*(p - 1)**2*(p + 1)
Let r(w) be the third derivative of 5*w**8/2184 + w**7/455 - w**6/390 - 20*w**2. Find q, given that r(q) = 0.
-1, 0, 2/5
Let q(h) = 0*h + 4*h - 6 - 3*h. Let c be q(8). Find y, given that 24*y**3 + 30*y + 42*y - 3*y**4 - 5*y**c - 61*y**2 - 27 = 0.
1, 3
Let t(c) be the first derivative of -3*c**4/20 + 24*c**3/5 - 99*c**2/2 + 726*c/5 + 824. Factor t(i).
-3*(i - 11)**2*(i - 2)/5
Let m = -146 - -159. Let v be (-1 - -1)/(-12 + m). Factor -1/4*c + 1/4*c**2 + v.
c*(c - 1)/4
Suppose 0 = -q - 3, 5*c - 4*q - 23 - 4 = 0. Factor -18*d**2 - 113*d**c + 53*d**3 - 10*d - 26*d + 57*d**3 - 24.
-3*(d + 2)**3
Let y be (955/15*6/(-20))/(-1). Let l = y + -37/2. Find k, given that -l*k**3 + 1/5*k**2 + 0*k + 0 = 0.
0, 1/3
Let n = -8097 + 8099. Find k, given that 2/5*k**3 + 2/5*k**4 - 2/5*k - 6/5*k**n + 4/5 = 0.
-2, -1, 1
Suppose -8*t + 17*t**3 - 4*t - 23*t**2 + 8 - 45*t**3 - 25*t**2 = 0. What is t?
-1, 2/7
Factor -19*m**2 + m**2 + 69*m - 118 + 130.
-3*(m - 4)*(6*m + 1)
Let o(y) be the second derivative of -y**4/4 + 50*y**3 - 375