87. Let j(y) = -18*g(y) + k(y). Factor j(x).
3*(x + 1)*(x + 11)*(4*x + 1)
Let q = -195346/5 - -39070. Find d such that 3/5*d**2 - q - 4/5*d = 0.
-2/3, 2
Let t(g) be the first derivative of g**4/18 - 5*g - 1. Let v(r) be the first derivative of t(r). Suppose v(n) = 0. What is n?
0
Determine d so that -14*d**2 + 6407*d + 3*d**3 - 9*d**2 - 6415*d = 0.
-1/3, 0, 8
Suppose 0*v - 1/6*v**4 + 23/2*v**3 + 0*v**2 + 0 = 0. What is v?
0, 69
Let w(q) be the third derivative of -q**9/7056 + 3*q**8/3920 - q**7/980 - 2*q**3 - q**2. Let l(c) be the first derivative of w(c). Factor l(s).
-3*s**3*(s - 2)*(s - 1)/7
Let u(g) be the first derivative of -6/5*g**5 - 5/3*g**4 - 2 + 2/3*g**3 - g + 0*g**2. Let o(d) be the first derivative of u(d). Determine i so that o(i) = 0.
-1, 0, 1/6
Let y(i) be the third derivative of 1/150*i**6 - 7*i**2 + 0 - 1/15*i**3 - 7/120*i**4 + 0*i + 1/60*i**5. Factor y(s).
(s - 1)*(s + 2)*(4*s + 1)/5
Suppose 71*r - 12 = 65*r. Let d(v) be the first derivative of -v**3 - 1/3*v**5 + 1/3*v**r + v**4 + 0*v - 1. Factor d(u).
-u*(u - 1)**2*(5*u - 2)/3
Suppose -111 - 114 = -45*p. Let u(n) be the second derivative of 1/5*n**p - 10/3*n**3 + 1/3*n**4 + 6*n**2 + 2*n + 0. Solve u(g) = 0 for g.
-3, 1
Let u(p) = -2*p**2. Let m(n) = -4*n**4 + 4112*n**3 - 1585172*n**2 + 271593488*n - 17449881604. Let c(i) = -m(i) - 2*u(i). Let c(x) = 0. Calculate x.
257
Factor -3/4*i**3 + 0 + 0*i + 0*i**2.
-3*i**3/4
Find d such that -9/2 - 3*d**3 + 13/2*d**2 + 1/4*d**5 + 11/4*d - 2*d**4 = 0.
-2, -1, 1, 9
Let s(g) be the third derivative of -g**4/8 - g**3/6 + 4*g**2. Let i be s(-1). Factor -b**2 - 3*b**3 + i*b**4 + 3*b - 3*b**4 + 2 - 4*b**3 + 4*b**3.
-(b - 1)*(b + 1)**2*(b + 2)
Factor -1/5*m + 1 + 1/5*m**3 - m**2.
(m - 5)*(m - 1)*(m + 1)/5
Factor 19*o - 3*o - 2*o**3 - 1 + 32*o + 20*o**2 + 6*o - 71.
-2*(o - 12)*(o - 1)*(o + 3)
Factor -30 + 1/4*q**3 + 13/2*q + 15/4*q**2.
(q - 2)*(q + 5)*(q + 12)/4
Let y(o) be the first derivative of -2*o**5/5 + o**4 + 2*o**3 - 9. Suppose y(p) = 0. What is p?
-1, 0, 3
Let l(i) be the third derivative of -i**6/480 + i**5/80 + 3*i**4/32 - 9*i**3/8 - 2*i**2 + 15*i. Factor l(m).
-(m - 3)**2*(m + 3)/4
Let s(p) = -12*p - 67. Let c be s(-11). Let o be (-10)/c + (-790)/(-65). Solve 15/2*h**3 - 6*h - 9*h**2 - 3/2*h**4 + o = 0.
-1, 2
Factor -126 - 29*y**4 + 32*y**4 + 96*y - 159*y**2 - 381*y - 27*y**3 - 30*y**2.
3*(y - 14)*(y + 1)**2*(y + 3)
Let x(d) be the second derivative of -d**6/20 - 87*d**5/10 - 2523*d**4/4 - 24389*d**3 - 2121843*d**2/4 + d - 56. Factor x(r).
-3*(r + 29)**4/2
Factor 195/4*k**2 + 36*k + 25/4*k**3 + 7.
(k + 7)*(5*k + 2)**2/4
Let h(n) be the first derivative of n**4/5 - 112*n**3/15 - 118*n**2/5 - 24*n - 197. Solve h(z) = 0.
-1, 30
Let c = -1867 - -1867. Suppose 1/2*z**5 + z**3 + 0*z**2 - 3/2*z**4 + c*z + 0 = 0. Calculate z.
0, 1, 2
Let -2/15*i**2 - 2/15*i + 4/5 = 0. Calculate i.
-3, 2
Let d(c) be the second derivative of -c**7/210 + 4*c**5/25 + 19*c**4/30 + 11*c**3/10 + c**2 + 15*c + 4. Factor d(v).
-(v - 5)*(v + 1)**3*(v + 2)/5
Let m(v) be the first derivative of v**5/15 - v**4/2 + v**3 - 2*v**2/3 + 93. Suppose m(g) = 0. What is g?
0, 1, 4
Suppose -1 - 5 = 2*n. Let v(o) = o**2 - 4*o - 2. Let x(g) = g. Let i be (-13)/((-351)/(-36)) - 1/(-3). Let l(y) = i*v(y) + n*x(y). Let l(u) = 0. What is u?
-1, 2
Suppose p**2 + 16 - 18 - 4*p**2 + 5*p**2 = 0. Calculate p.
-1, 1
Let j(l) = -l**4 + l**3 + 9*l**2 - 9*l - 8. Suppose 0*m = -5*m - 4*x + 15, 4*x + 12 = 4*m. Let r(p) = -p**2 + p + 1. Let b(i) = m*j(i) + 24*r(i). Factor b(y).
-3*y*(y - 1)**2*(y + 1)
Factor 106/11*h**3 + 2/11*h**4 + 1456/11*h**2 + 1352/11*h + 0.
2*h*(h + 1)*(h + 26)**2/11
Let v(j) be the third derivative of j**8/84 - j**6/30 + 9*j**2. Find l, given that v(l) = 0.
-1, 0, 1
Determine l so that 0 - 23/9*l + 1/9*l**2 = 0.
0, 23
Let w be (15/(-18))/((-5)/30). Factor 0*r**5 - 6*r**4 - w*r**5 + 2*r**5.
-3*r**4*(r + 2)
Let s(i) be the second derivative of -i**5/2 + 3*i**4 + 56*i**3 + 64*i**2 - 165*i + 1. Factor s(q).
-2*(q - 8)*(q + 4)*(5*q + 2)
Let d be ((-2)/(-7))/((-16)/152 - 1143/(-5985)). Find q such that 0 + 25/3*q**3 - d*q**4 + 0*q + 1/3*q**5 + 0*q**2 = 0.
0, 5
Let j = -151 + 39. Let c be 15/(-4) + 4 - 4/j. Factor 2/7*a**4 + 0 + c*a**5 - 2/7*a**2 + 0*a - 2/7*a**3.
2*a**2*(a - 1)*(a + 1)**2/7
Let h be ((-14)/(-10) - -1) + (-18)/45. Suppose 0 = h*o - 47 + 41. Factor 0 + 0*p**2 + 0*p + 0*p**o - 2/7*p**4.
-2*p**4/7
Factor 0*m + 0*m + 6 + 5*m + 4 - 5*m**2.
-5*(m - 2)*(m + 1)
Let t = -2/129 + 137/516. Let c(b) be the second derivative of 0*b**2 - 3/40*b**5 - 4*b + 0 + t*b**4 - 1/4*b**3. Factor c(m).
-3*m*(m - 1)**2/2
Suppose -31*l + b + 19 = -26*l, 8 = -2*b. Let g(y) be the first derivative of 8 - 1/3*y**l + 0*y - 1/2*y**2. Factor g(h).
-h*(h + 1)
Let p be 2449/(-310) - (-3 + -5). Factor -1/10*h + p*h**2 - 1/5.
(h - 2)*(h + 1)/10
Factor -33*z**3 + 50*z**3 - 30 - 32*z**3 + 85*z + 20*z**2.
-5*(z - 3)*(z + 2)*(3*z - 1)
Let k(h) be the first derivative of 4*h**6/3 - 26*h**5/5 + 3*h**4/2 + 32*h**3/3 - 4*h**2 - 77. Find i, given that k(i) = 0.
-1, 0, 1/4, 2
Suppose -19 - 1 = -4*b. Let m(h) be the second derivative of 0*h**2 + 5*h - 1/75*h**6 - 1/50*h**b + 0*h**4 + 0*h**3 + 0. Determine i so that m(i) = 0.
-1, 0
Let j = 706 + -704. Solve 0*r**3 - 1/4 - 2/3*r - 1/2*r**j + 1/12*r**4 = 0 for r.
-1, 3
Determine u, given that -1/4*u**4 - u**3 + 3*u**2 + 0*u + 0 = 0.
-6, 0, 2
What is u in 4488/7*u - 2/7*u**4 - 2178/7 + 136/7*u**3 - 2444/7*u**2 = 0?
1, 33
Determine m, given that 12 - 122*m**4 + 121*m**4 + 0*m**3 + 41*m - 13*m + 19*m**2 + 2*m**3 = 0.
-2, -1, 6
Suppose 4*p - 140 = -p. Let a = 31 - p. Suppose 10 + 5*q**a - 25*q + 5*q**2 - 10 + 15 = 0. What is q?
-3, 1
Let g(f) be the third derivative of -f**5/330 - 5*f**4/66 - 7*f**3/11 + 3*f**2 - 38. Factor g(h).
-2*(h + 3)*(h + 7)/11
Suppose 27*m = -76*m + 206. Factor 2/5 + 14/5*u**3 + 16/5*u**m + 6/5*u**4 + 9/5*u + 1/5*u**5.
(u + 1)**4*(u + 2)/5
Let j be -5*(-1 - -2) - (-88 - -81). Factor 676/7 + 104/7*a + 4/7*a**j.
4*(a + 13)**2/7
Suppose 0 = -6*r + 2*r - 12. Let p(w) = -w**4 + w**2 + w. Let o(b) = 6*b**4 - 3*b**3 - 5*b**2 - 5*b. Let q(a) = r*o(a) - 15*p(a). Factor q(z).
-3*z**3*(z - 3)
Let g(u) be the third derivative of u**8/147 - 17*u**7/735 - u**6/35 + 29*u**5/105 - 13*u**4/21 + 5*u**3/7 - 3*u**2 - u. Factor g(z).
2*(z - 1)**4*(8*z + 15)/7
Let t(u) = -2*u**2 - 9*u + 341. Let m be t(11). Let i(v) be the first derivative of m*v**2 - 13 + 0*v + 2/65*v**5 + 0*v**4 - 2/39*v**3. Factor i(z).
2*z**2*(z - 1)*(z + 1)/13
Let s(t) be the second derivative of 0*t**3 + 0 - 1/60*t**5 + 1/12*t**4 - 3*t + 5/2*t**2. Let v(f) be the first derivative of s(f). Let v(x) = 0. What is x?
0, 2
Determine s so that -9/2*s**3 + 0 + 15/2*s - 3/4*s**4 - 9/4*s**2 = 0.
-5, -2, 0, 1
Let f(q) = 13*q**2 + 3*q + 14. Let z(d) = -29*d**2 - 5*d - 29. Let r(u) = 9*f(u) + 4*z(u). Factor r(s).
(s + 2)*(s + 5)
Solve -1/4*v**2 - 15*v - 29 = 0 for v.
-58, -2
Let n be ((-66)/(-440))/(2 - 36/20). Factor n*p - 1/4*p**2 + 1.
-(p - 4)*(p + 1)/4
Let b = 7 - 3. Find z such that 5*z**5 + 10*z**b - 3*z**2 - 3*z**3 - z**3 - z**3 - 7*z**2 = 0.
-2, -1, 0, 1
Let h(n) be the third derivative of -1/45*n**6 + 0*n + 5/72*n**4 - 1/9*n**3 - 44*n**2 + 0 + 7/90*n**5. What is u in h(u) = 0?
-1/2, 1/4, 2
Let i be (-29 + (-12138)/(-420))/((-1)/14). Factor 1 - 1/5*t**3 + i*t**2 - 11/5*t.
-(t - 5)*(t - 1)**2/5
Factor -7*z + 8 + 43*z - 16*z**3 - 18*z**2 + 30*z**2.
-4*(z - 2)*(z + 1)*(4*z + 1)
Let d be 3 + -3 + 2/28 - (-244)/112. Find b, given that -d*b**2 + 0*b + 9/4*b**4 + 3/4*b**3 + 0 - 3/4*b**5 = 0.
-1, 0, 1, 3
Let b(o) be the first derivative of -o**5/90 - 7*o**2 + 21. Let l(w) be the second derivative of b(w). Factor l(k).
-2*k**2/3
Let j(c) be the second derivative of -c**7/14 - 13*c**6/35 + 87*c**5/140 + 30*c**4/7 - 18*c**3/7 - 48*c. Let j(h) = 0. What is h?
-3, 0, 2/7, 2
Let o(g) be the first derivative of g**4/5 - 32*g**3/3 - 166*g**2/5 - 168*g/5 - 250. Factor o(n).
4*(n - 42)*(n + 1)**2/5
Let z be ((-4)/(-2) + -3)*-3. Let j be 4 + 6/z*-2. Solve j*k**3 + 5*k - 2*k + 0*k**2 + 3*k**3 + 6*k**2 = 0.
-1, 0
Suppose 2*j + 3*q - 398 = 288, 2*j + 2*q - 686 = 0. Let u = j - 1019/3. Factor 8/3*b**2 + u*b + 2/3.
2*(b + 1)*(4*b + 1)/3
Let n(x) be the first derivative of 2*x**3/27 - 208*x**2/9 + 21632*x/9 - 645. 