j) = 0.
-1, 0, 2
Let t(x) be the second derivative of x**5/50 - 23*x**4/15 + 172*x**3/15 - 168*x**2/5 - 140*x + 4. Factor t(z).
2*(z - 42)*(z - 2)**2/5
Let r(z) = -28*z**3 + 1346*z**2 + 5418*z + 4146. Let b(v) = -32*v**3 + 1347*v**2 + 5419*v + 4159. Let l(c) = 6*b(c) - 7*r(c). Let l(h) = 0. Calculate h.
-3, -1, 339
Let z(p) be the first derivative of 2*p**3/21 - 23*p**2/7 - 100*p/7 - 89. Factor z(s).
2*(s - 25)*(s + 2)/7
Let r(d) be the first derivative of 4/7*d + 256 + 9/7*d**2 + 2/7*d**4 + 8/7*d**3. Determine x, given that r(x) = 0.
-2, -1/2
Let s(p) be the first derivative of 15/2*p**2 + 1/3*p**3 - 1/60*p**5 + 0*p + 17 + 1/24*p**4. Let r(l) be the second derivative of s(l). Factor r(c).
-(c - 2)*(c + 1)
Let i = 3119 + -3119. Let o(x) be the first derivative of 6 + 1/20*x**5 + 0*x**4 + i*x + 0*x**2 + 0*x**3. Determine q, given that o(q) = 0.
0
Let t(p) be the third derivative of -p**7/42 + 4*p**6/3 + 67*p**5/12 + 85*p**4/12 + 9*p**2 - 15*p. Let t(o) = 0. What is o?
-1, 0, 34
Factor -z**3 - 37*z**3 - 48*z**2 + 14*z**3 + 0*z**3 - 4*z**4 - 32*z.
-4*z*(z + 2)**3
Let v be 120/270*12/16. Let c(f) be the first derivative of 13 + v*f - 1/24*f**4 - 1/9*f**3 + 1/12*f**2. Factor c(z).
-(z - 1)*(z + 1)*(z + 2)/6
Let y be 21 - ((-3)/(-14))/((-267)/623). Factor 5/2*i**3 + y*i**2 + 11*i - 8.
(i + 1)*(i + 8)*(5*i - 2)/2
Let c be 3 - ((-231)/22 - -11). Let j(x) be the first derivative of -c*x - 7/6*x**3 + 11/4*x**2 - 1 + 1/8*x**4. Determine w so that j(w) = 0.
1, 5
Let l = -3724282/5 + 744914. Factor 1/5*a**3 + l + 26/5*a**2 + 192/5*a.
(a + 2)*(a + 12)**2/5
Let x = 5082 - 5082. Let q(d) be the third derivative of x*d**3 - 1/735*d**7 - 2*d**2 + 0*d**4 + 1/210*d**5 - 1/1176*d**8 + 0*d + 1/420*d**6 + 0. Factor q(w).
-2*w**2*(w - 1)*(w + 1)**2/7
Suppose 42*p = 262*p + 30*p - 181500. Factor -66*m - p - 3/2*m**2.
-3*(m + 22)**2/2
Suppose 19*g + 238 = -218. Let p be (2/(-7))/(g/42). Suppose -p*a**2 + 0*a + 0 = 0. What is a?
0
Let v be 30*48/80 - 13. Let s(a) be the second derivative of -1/3*a**4 + 0 - 4/15*a**6 + 1/3*a**3 - 19*a + 0*a**2 - 7/10*a**v. Let s(d) = 0. Calculate d.
-1, 0, 1/4
Let i(l) be the second derivative of -l**4/9 - 16*l**3/9 + 32*l**2 + l - 1076. Find b such that i(b) = 0.
-12, 4
Factor -531/4*c**2 + 0 - 66*c - 3/4*c**4 - 135/2*c**3.
-3*c*(c + 1)**2*(c + 88)/4
Suppose 2*a - 3*a - 17 = 5*d, -4*a - 23 = 5*d. Let x be (d/18)/(-1)*-10*-15. Factor 23*n**4 + 3*n**3 + 3*n**5 - 21*n**5 - 33*n**4 + x*n**4.
-3*n**3*(n - 1)*(6*n + 1)
Let g(k) be the first derivative of k**6/18 + 4*k**5/15 + k**4/12 - 2*k**3/3 - 1320. Factor g(y).
y**2*(y - 1)*(y + 2)*(y + 3)/3
Let d(i) be the first derivative of -8/9*i**2 + 20 + 2/9*i**3 - 10*i - 1/54*i**4. Let w(k) be the first derivative of d(k). Factor w(z).
-2*(z - 4)*(z - 2)/9
Suppose 4*k = 5*f - 32, 183*f - 8 = 4*k + 181*f. Determine j so that 13/4*j**3 + 3/4*j**4 + 3/2 - 29/4*j**k + 7/4*j = 0.
-6, -1/3, 1
Suppose -8303/3*p**3 - 1/6*p**5 - 110/3*p**4 - 231034/3*p**2 + 1431644/3 - 2384393/6*p = 0. What is p?
-71, -8, 1
Let w = -82946 - -746518/9. What is o in 4/9*o + 4/9 + 4/9*o**4 - 8/9*o**3 - 8/9*o**2 + w*o**5 = 0?
-1, 1
Let r(m) be the second derivative of -m**5/30 - 5*m**4/6 - 8*m**3 - 112*m**2/3 - 53*m + 6. Determine u so that r(u) = 0.
-7, -4
Let t(d) = d**3 - 8*d**2 + 11*d - 26. Let j be t(7). Factor -5*r**j + 100*r + 315 - 315.
-5*r*(r - 20)
Let g(d) = -d**2 - 27*d - 124. Let z be g(-6). Let j(y) be the second derivative of 1/78*y**4 + 0*y**z + 4/39*y**3 + 0 - 18*y. Factor j(i).
2*i*(i + 4)/13
Let c(w) be the first derivative of -2*w**3/3 + 462*w**2 - 106722*w + 1866. Factor c(n).
-2*(n - 231)**2
Let j(r) = -r**2 - 16*r + 74. Let d be j(4). Let p be (((-96)/36)/(d/9))/34. Determine k, given that -2/17*k**4 + 0 + 2/17*k**3 + 2/17*k**2 - p*k = 0.
-1, 0, 1
Factor -276/7 + 81/7*s - 3/7*s**2.
-3*(s - 23)*(s - 4)/7
Let i(k) be the first derivative of -k**4/18 - 1286*k**3/27 + 1289*k**2/9 - 430*k/3 + 4191. Factor i(x).
-2*(x - 1)**2*(x + 645)/9
Let s(r) be the first derivative of -4 + 0*r + 0*r**4 - 1/360*r**6 + 0*r**3 + 9/2*r**2 + 1/180*r**5. Let w(i) be the second derivative of s(i). Factor w(y).
-y**2*(y - 1)/3
Let a(u) be the third derivative of u**6/30 + 13*u**5/15 + 13*u**4/3 - 80*u**3/3 - 3*u**2 - 10. What is j in a(j) = 0?
-10, -4, 1
Suppose -8455 = -243*k - 444*k + 404*k - 1408*k. Let k + 2*r - 1/4*r**2 = 0. What is r?
-2, 10
Factor 6400/3 - 160/3*q + 1/3*q**2.
(q - 80)**2/3
Let b(q) = -3*q - 4. Let p be b(-2). Suppose 2 = 11*f - 9*f, -4 = -3*w + 5*f. Factor -1 - 14*g + 2*g**w + 15*g + g**p - 3*g**3.
-(g - 1)**2*(g + 1)
Let v = 135/181 - -3/724. Let x(c) be the first derivative of -v*c**4 - 16/15*c**3 - 2/5*c**2 + 1/6*c**6 + 0*c + 2/25*c**5 - 9. Let x(z) = 0. Calculate z.
-1, -2/5, 0, 2
Let j(n) be the second derivative of 6*n**6/5 + 57*n**5/2 - 349*n**4/6 + 45*n**3 - 17*n**2 + 271*n + 3. What is r in j(r) = 0?
-17, 1/3, 1/2
Let u(n) = n**3 + 3*n**2 - n - 3. Let p be u(-2). Suppose -245*l**5 + 8*l**2 - 10*l**4 - 28*l + 249*l**5 + 24*l**p + 12 - 10*l**4 = 0. Calculate l.
-1, 1, 3
Let x be -4 - (-3)/(36/276). Let b be (0 + 3/3)*7. Solve x*o + b*o - 60*o**3 + 74*o**3 - 12 + 52*o**2 = 0.
-3, -1, 2/7
Let f be (6 + 0)*5/(-15)*-5. Let a be ((-6)/f - -1)/(1105/425). Factor 4/13*b**2 - 6/13*b**4 - 6/13*b + 4/13*b**3 + 2/13*b**5 + a.
2*(b - 1)**4*(b + 1)/13
Let x(s) = 2*s**3 - s**2 + 3*s - 2. Let m(w) = -2*w - 9. Let q be m(-5). Let z be x(q). Factor -3*l**3 + 4*l**2 + 3*l - 9*l + 5*l**z + 0*l**3.
-3*l*(l - 2)*(l - 1)
Let c be (-6 + 3)/(3/4) - -9. Find h such that -2*h + 4*h**2 + 0*h + 18*h**4 - 22*h**4 + 0*h + 2*h**c = 0.
-1, 0, 1
Let g = -34091 + 34091. Let x(d) be the third derivative of 0*d**3 - 2/105*d**7 - 1/6*d**4 + 0 + g*d - 1/10*d**6 - 1/5*d**5 + 31*d**2. Factor x(h).
-4*h*(h + 1)**3
Let f be -5*(-10)/15*(-3)/(-5). Suppose -y = -4*b + 24, 0 = -f*b - 4*y - 1 - 5. Factor -24 + 6*m**2 - b*m**2 - 8*m + 0*m**2 + m**2.
2*(m - 6)*(m + 2)
Suppose -3*d - l = -112, -28 = -4*d + 3*d + 2*l. Let u(o) be the second derivative of -d*o**2 - 7/5*o**5 + 0 + 40/3*o**4 - 34*o**3 - 17*o. Factor u(b).
-4*(b - 3)**2*(7*b + 2)
Let p(o) = -12*o**2. Let n(z) = 140*z**2 + 41*z - 105. Let r(w) = -3*n(w) - 33*p(w). Factor r(u).
-3*(u + 7)*(8*u - 15)
Suppose 10 = -4*r - r. Let b be (-2 - (-4 - -2)) + 0 - r. Factor 2*u**2 + 2*u**b - 2*u**2 + 10*u - 7*u**2.
-5*u*(u - 2)
Let p be (-4)/14 - -1*1/6*(-1586)/(-427). Solve -1323 + 42*a - p*a**2 = 0.
63
What is b in 19*b + 2222 - 1202 - 1108 - b**2 = 0?
8, 11
Let t(w) = 4*w**2 - 3*w + 24. Let u be t(4). Solve -38*q**2 + 27 - 3 + 28*q - 34*q**2 + u*q**2 = 0.
-6, -1
Let o(m) = -8*m**2 + 13*m + 10. Let q(r) = -39*r**2 + 60*r + 51. Let f(v) = 24*o(v) - 5*q(v). Determine c so that f(c) = 0.
-5, 1
Let x(h) be the third derivative of -h**7/6300 + 11*h**6/1800 - 3*h**4/4 + 96*h**2. Let p(c) be the second derivative of x(c). Factor p(z).
-2*z*(z - 11)/5
Suppose 36/5 - 3/5*u - 1/10*u**2 = 0. Calculate u.
-12, 6
Let s(q) be the first derivative of -2*q**5/5 - 13*q**4/2 - 16*q**3/3 + 52*q**2 + 96*q + 9839. Find c such that s(c) = 0.
-12, -2, -1, 2
Let 0 + 1184/5*g + 864/5*g**3 - 2/5*g**5 + 136/5*g**4 + 352*g**2 = 0. Calculate g.
-2, 0, 74
Factor 4148/15*l + 2150738/15 + 2/15*l**2.
2*(l + 1037)**2/15
Let h be (-2)/4 + (-24)/(-30). Let i = 2664 + -2661. Determine q, given that -h*q - 1/5*q**2 - 3/10*q**5 + 3/5*q**i + 1/10 + 1/10*q**4 = 0.
-1, 1/3, 1
Suppose -2525 = -5*h + 4*m - 2507, 3*h - m = 8. Let 1/3*q**h + 2 + 5/3*q = 0. Calculate q.
-3, -2
Let r(x) be the second derivative of -x**4/6 - 10*x**3 - 104*x**2 + 42*x + 5. Suppose r(n) = 0. Calculate n.
-26, -4
Let f(m) be the third derivative of -m**5/45 + 5*m**4/2 - 172*m**3/9 + 2*m**2 + 83. Factor f(x).
-4*(x - 43)*(x - 2)/3
Let z be (665 + -2)/17 - 37. What is v in -2/9*v**z - 8/3 + 26/9*v = 0?
1, 12
Let d(z) = z**2 + 18*z - 60. Let b be d(-21). Let a be (1/(-2))/(3/(-18)). Factor 6 - 4*n**4 - 3*n**4 - a*n**b + 3*n + 10*n**4 - 9*n**2.
3*(n - 2)*(n - 1)*(n + 1)**2
Let a(n) = -12*n**5 - 28*n**4 - 18*n**3 + 8*n**2 - 70*n. Let l(c) = -c**5 - 2*c**4 - 2*c**3 - 7*c. Let b(o) = -a(o) + 10*l(o). Factor b(i).
2*i**2*(i - 1)*(i + 1)*(i + 4)
Let n be (16/3)/((-238)/(-3570)). Let a be ((-14)/96*-2)/(20/n). Let -13/6*c**2 - a*c**4 - 2/3*c - 5/2*c**3 + 0 - 1/6*c**5 = 