/3 - 501*g. Factor k(s).
(s - 2)*(s + 1)*(s + 2)/6
Let x be -7 + 8106/792 + 3/(-4). Let j = x - -2/11. Solve -16/3*k + 10/3*k**2 - 2/3*k**3 + j = 0.
1, 2
Let u(g) = -g**2 + 3*g. Let m be u(4). Let h be 3 - m/16*0. Factor v**h - 4*v**3 + 7*v + 3 - v**2 - 2*v**2 - 4*v.
-3*(v - 1)*(v + 1)**2
Factor -2*g**2 + 1695*g + 75*g**3 - 78*g**3 - 1695*g - g**4.
-g**2*(g + 1)*(g + 2)
Determine o so that -64/13*o - 512/13 - 2/13*o**2 = 0.
-16
Let w(d) be the first derivative of -25*d**3/3 - 585*d**2/2 - 230*d - 5. Suppose w(z) = 0. Calculate z.
-23, -2/5
Let x(q) = -3*q**5 - 662*q**4 - 36302*q**3 - 35638*q**2. Let b(v) = -3*v**5 - 663*v**4 - 36303*v**3 - 35637*v**2. Let u(i) = -5*b(i) + 6*x(i). Factor u(o).
-3*o**2*(o + 1)*(o + 109)**2
Let p(l) be the first derivative of l**8/784 - l**7/245 + l**6/280 - 11*l**2 - 9. Let d(t) be the second derivative of p(t). Factor d(s).
3*s**3*(s - 1)**2/7
Let j(d) be the third derivative of d**7/210 - d**6/30 + d**5/20 + d**4/6 - 2*d**3/3 - d**2 - 20. Factor j(p).
(p - 2)**2*(p - 1)*(p + 1)
Let m = 907/380 - -1/76. Let r(g) be the first derivative of 7*g**4 - 4*g - m*g**5 - 32/3*g**3 + 5 + 9*g**2 + 1/3*g**6. Let r(n) = 0. Calculate n.
1, 2
Let x = -111 - -114. Let h(u) be the second derivative of 0*u**x - 1/20*u**5 - 2*u + 0 + 1/15*u**6 + 0*u**2 - 1/42*u**7 + 0*u**4. Suppose h(m) = 0. Calculate m.
0, 1
Let h be (-25)/(-77) - 19/133. Factor 2/11*x**4 - 2/11*x + 0 - 2/11*x**2 + h*x**3.
2*x*(x - 1)*(x + 1)**2/11
Let m(t) be the first derivative of 2*t**3/11 + 81*t**2/11 - 168*t/11 + 272. Factor m(c).
6*(c - 1)*(c + 28)/11
Let -13*x**3 + 12*x - 9 - 49*x**4 - 6 + 18*x**2 + 46*x**4 + x**3 = 0. Calculate x.
-5, -1, 1
Suppose 6*f + 10 = 22. Suppose -444*v - 6912 - 401*v - 571*v - 4*v**3 - 312*v - 144*v**f = 0. What is v?
-12
Factor b**2 + 1/4*b - 3/2 + 1/4*b**3.
(b - 1)*(b + 2)*(b + 3)/4
Let a(s) be the first derivative of -s**4/4 + 5*s**3/3 + 2*s**2 - s - 1. Let i be a(5). Factor -i + 8*z**4 + 19 + 12*z**3 + 0*z**3 + 4*z**2.
4*z**2*(z + 1)*(2*z + 1)
Let t be 12/36 + (-1)/(6/(-88)). Let j be ((-20)/75)/((-18)/t). Let -2/9*c**5 - 2/9*c**4 + 0*c + 0 + j*c**2 + 2/9*c**3 = 0. What is c?
-1, 0, 1
Let u be (35/15 + -2)*9/2. Factor 9/4 - u*l + 1/4*l**2.
(l - 3)**2/4
Let d(p) be the second derivative of -p**7/42 + 11*p**5/20 + 3*p**4/2 + 4*p**3/3 - 218*p. Solve d(u) = 0.
-2, -1, 0, 4
Let g(r) be the second derivative of -r**4/16 - 15*r**3/4 - 87*r**2/8 - 2*r - 147. Determine q so that g(q) = 0.
-29, -1
Suppose -244 - 35 = -166*s + 53. Determine t, given that -1/4*t**s + 0*t + 1/4 = 0.
-1, 1
Let z(h) be the third derivative of -h**7/735 + 13*h**6/420 - 4*h**5/21 + 3*h**4/7 - 43*h**2 + 2*h. What is u in z(u) = 0?
0, 2, 9
Let j(i) be the third derivative of 0 + 0*i**3 - 9*i**2 + 0*i**6 + 0*i**4 + 2/105*i**7 - 4/15*i**5 + 0*i. Find u, given that j(u) = 0.
-2, 0, 2
Factor 60*s + 3/5*s**3 - 12*s**2 + 0.
3*s*(s - 10)**2/5
Let -7/4*s**4 + 4 - 1/4*s**5 - 19/2*s + 19/4*s**2 + 11/4*s**3 = 0. Calculate s.
-8, -2, 1
Let w(n) be the second derivative of -n**6/120 - 4*n. Factor w(f).
-f**4/4
Let f(w) be the third derivative of 0 + 1/4*w**5 + 0*w + w**2 - 3/2*w**3 + 1/4*w**4. Factor f(c).
3*(c + 1)*(5*c - 3)
Let t(p) = -6 - p + 16 - 9. Let k be t(-2). Find r, given that -3*r + 81*r**4 - 15*r + 3 + 83*r**k + 3*r**2 - 11*r**3 - 33*r**4 = 0.
-1, 1/4
Let v(l) be the third derivative of -l**6/30 - l**5/5 + l**4 + 16*l**3/3 + 433*l**2. Find p, given that v(p) = 0.
-4, -1, 2
Let m(n) be the first derivative of 0*n - 1/5*n**3 - 1/150*n**5 + 5*n**2 - 1/12*n**4 + 1/300*n**6 - 5. Let h(r) be the second derivative of m(r). Factor h(c).
2*(c - 3)*(c + 1)**2/5
Suppose 4*c + 0*c - 24 = 0. Suppose 2*i - 12 = 2*u + c, -4*i + 12 = 2*u. Factor -7*n**3 + 12*n**2 - i*n + 22*n**3 + 2*n.
3*n*(n + 1)*(5*n - 1)
Let z = -2202 + 2202. Let h(b) be the second derivative of 1/70*b**5 - 1/14*b**4 + z*b**2 + 0 - b + 2/21*b**3. What is v in h(v) = 0?
0, 1, 2
Let n(t) be the third derivative of 2/21*t**4 - 9*t**2 + 0*t + 1/210*t**5 + 0 - 1/420*t**6 - 4/7*t**3. Factor n(f).
-2*(f - 2)**2*(f + 3)/7
Suppose 2*p + 5*a + 17 = 0, -6*a + 3*a - 35 = -5*p. Solve 2 + p*m - 2 + 123*m**3 - 111*m**3 - 4*m**4 - 12*m**2 = 0 for m.
0, 1
Let w(a) = -3*a**2 - 12*a + 6. Let y(s) = s**3 - 2*s**2 - 11*s + 6. Suppose 0 = 3*z - 3*d - 7 + 4, 0 = -2*z + 5*d - 4. Let o(i) = z*y(i) - 2*w(i). Factor o(f).
3*(f - 1)**2*(f + 2)
Let f(x) be the third derivative of x**8/28 - 22*x**7/105 + 3*x**6/10 + 7*x**5/15 - 2*x**4 + 8*x**3/3 - 178*x**2. Find l such that f(l) = 0.
-1, 2/3, 1, 2
Let k(v) be the first derivative of v**5/15 + v**4/12 - v**3/9 - v**2/6 - 187. Factor k(x).
x*(x - 1)*(x + 1)**2/3
Let s(y) = -y**2 + 27*y + 2. Let i(k) = -2*k**2 + 28*k + 3. Let g(b) = 2*i(b) - 3*s(b). Factor g(j).
-j*(j + 25)
Let c be -19*(-246)/456 + 18/(-2). Let -25/4*t**2 - c - t**3 - 13/2*t = 0. What is t?
-5, -1, -1/4
Let p(w) = 5*w**4 - 3*w**2 + 2. Let m(c) = 2*c + 15. Let i be m(-5). Let x(s) = 10*s**4 - 5*s**2 + 5. Let t(r) = i*p(r) - 2*x(r). What is g in t(g) = 0?
-1, 0, 1
Let x = 2 + 0. Let q be 15/10 - 5/(-2). Factor 2/7*v**3 + 0*v - 1/7*v**x + 0 - 1/7*v**q.
-v**2*(v - 1)**2/7
Let -90*f**5 + 102*f**2 + 1080*f**4 - 26*f**3 - 1102*f**4 + 96*f**5 + 36*f = 0. What is f?
-2, -1/3, 0, 3
Let g = -12062/3 - -4021. Factor 5/3*i - 4/3 + g*i**4 + i**2 - 5/3*i**3.
(i - 4)*(i - 1)**2*(i + 1)/3
Let a(l) be the second derivative of 0 - 3/4*l**4 + 3/20*l**5 + 3*l**2 + 52*l - 1/2*l**3 + 1/10*l**6. Factor a(g).
3*(g - 1)**2*(g + 1)*(g + 2)
Let j(w) = -w**3 - w**2. Suppose 20 = -11*d + 10*d. Let k(q) = q**4 + 9*q**3 + 11*q**2 + 3*q. Let m(b) = d*j(b) - 5*k(b). Determine z, given that m(z) = 0.
-3, -1, 0
Let l(s) = -3*s**2 - 516*s - 22701. Let y(n) = -9*n**2 - 1549*n - 68104. Let q(m) = 17*l(m) - 6*y(m). Let q(p) = 0. Calculate p.
-87
Let n(p) = -11*p**3 - 2*p**2 - 2*p + 3. Let z be n(1). Let m be (-4 + 2)*18/z. Determine r so that 1/2*r**2 - m*r + 9/2 = 0.
3
Let i(m) be the first derivative of 0*m + 13 + 1/2*m**4 + 4*m**2 + 8/3*m**3. Factor i(v).
2*v*(v + 2)**2
Let k be 114/285*1/12. Let a(c) be the second derivative of 3/50*c**5 - 2/75*c**6 + 0*c**2 + k*c**3 - 5*c + 1/210*c**7 - 1/15*c**4 + 0. Factor a(g).
g*(g - 1)**4/5
Factor 4 - 11 + 4*r**2 - 20 + 51 + 20*r.
4*(r + 2)*(r + 3)
Let h be 4 - (-1 + 120/25). Let n(x) be the first derivative of 1/2*x**4 + 0*x - 7 - 1/3*x**3 + h*x**5 - x**2. Factor n(g).
g*(g - 1)*(g + 1)*(g + 2)
Suppose t = 3*k + 23, -46*k + 28 = -50*k. Factor -108/5*m**t + 6/5*m**4 - 162/5*m + 36/5*m**3 - 2/5*m**5 + 486/5.
-2*(m - 3)**3*(m + 3)**2/5
Let m = 192/7 - 33. Let c = 191/28 + m. Factor -a - 1 + 3/4*a**3 + c*a**2.
(a - 1)*(a + 2)*(3*a + 2)/4
Suppose -2185*n + 2218*n = 66. Factor 0*k**n + 0*k**4 + 0 - 2/3*k - 2/3*k**5 + 4/3*k**3.
-2*k*(k - 1)**2*(k + 1)**2/3
Let x(h) be the first derivative of -3*h**5/5 - 4*h**4 - 21*h**3/2 - 27*h**2/2 + 6*h + 14. Let w(s) be the first derivative of x(s). Solve w(z) = 0.
-3/2, -1
Suppose 8*f - 10*f + 4 = 0. Let a(t) = -t**2 - 1. Let v(y) = -5*y**3 + 13*y**2 - 7*y + 3. Let c(m) = f*a(m) + v(m). Factor c(r).
-(r - 1)**2*(5*r - 1)
Let m(f) be the second derivative of -5*f**7/6 - 15*f**6/2 - 109*f**5/4 - 205*f**4/4 - 160*f**3/3 - 30*f**2 - 29*f + 2. What is l in m(l) = 0?
-2, -1, -3/7
Let x(l) = 2*l**2 + 2*l - 2. Suppose 6*n - 3*n = 6. Let d(r) = 6*r**n - 1 - 8 + 8*r + 2*r**2. Let y(j) = -2*d(j) + 9*x(j). Let y(v) = 0. Calculate v.
-1, 0
Let g(u) be the third derivative of -29/240*u**5 + 0*u**3 + 1/16*u**6 - 1/120*u**7 + 1/16*u**4 + 0 + 2*u**2 + 0*u. Suppose g(z) = 0. Calculate z.
0, 2/7, 1, 3
Let m(o) be the first derivative of -350/3*o**3 + 0*o - 22*o**4 + 19 - 6/5*o**5 - 98*o**2. Let m(a) = 0. What is a?
-7, -2/3, 0
Let j = 25 + -6. Let p(x) = -9 - x**2 - j*x + 4*x**2 + 4*x**2 - 3*x**2. Let o(h) = 3*h**2 - 13*h - 6. Let n(s) = -7*o(s) + 5*p(s). Factor n(q).
-(q + 1)*(q + 3)
Suppose -7*p = -6*p. Suppose p*k - 4*k = -8. What is w in 2 - w**2 + 8*w**2 + 0 - w**2 + 6*w + k*w**3 = 0?
-1
Let f = -35572 + 106756/3. Suppose -f*z**3 - 92/9*z**2 - 50/9*z**4 - 8/3*z - 2/9 = 0. What is z?
-1, -1/5
Suppose -36/7*o - 40/7 + 4/7*o**2 = 0. What is o?
-1, 10
Let s(o) be the first derivative of 5*o**4/8 - 125*o**3/6 - 365*o**2/2 - 300*o - 777. Factor s(m).
5*(m - 30)*(m + 1)*(m + 4)/2
Suppose 4 = -x - 0.