*5/5 + 15*q**4/2 - 24*q**3 - 15*q**2 + 75*q + 220. Determine z so that v(z) = 0.
-1, 1, 5
Suppose -i + 6*i - 30 = 0. Factor -4*l**2 - 66 - 12*l**3 + 4*l**5 + 4*l**4 + 14*l + 66 - i*l.
4*l*(l - 1)**2*(l + 1)*(l + 2)
Determine v so that 132*v - 357*v**3 + 25*v**4 + 54*v**2 - 29*v**4 + 24 + 71*v**4 + 65*v**4 + 15*v**4 = 0.
-2/7, 1, 2
Let n(x) be the third derivative of x**5/210 + 37*x**4/84 - x**2 + 5*x. Let n(j) = 0. What is j?
-37, 0
Let o(f) be the first derivative of 5*f**3/3 - 15*f**2 + 25*f + 85. Solve o(s) = 0.
1, 5
Let l(i) = 10*i**5 + 97*i**4 + 120*i**3 + 60*i**2 + 7*i + 1. Let z(g) = 4*g**5 + 49*g**4 + 60*g**3 + 30*g**2 + 4*g + 1. Let b(r) = 4*l(r) - 7*z(r). Factor b(j).
3*(j + 1)**4*(4*j - 1)
Let a(w) be the first derivative of 8*w - 1/3*w**3 - 5 + 2/15*w**4 + 2/5*w**2 - 1/50*w**5. Let l(h) be the first derivative of a(h). Factor l(q).
-2*(q - 2)*(q - 1)**2/5
Factor -12/5 + 0*k + 3/5*k**2.
3*(k - 2)*(k + 2)/5
Let x(v) be the second derivative of 289/36*v**4 + 2/3*v**2 - 13*v - 34/9*v**3 + 0. Let x(p) = 0. What is p?
2/17
Let j(q) = -q**4 + 5*q**3 + 2*q**2 - 6*q. Let w(s) = -s**3 + s**2. Let m(r) = j(r) + 3*w(r). Factor m(g).
-g*(g - 3)*(g - 1)*(g + 2)
Factor -2/5*n**5 + 4/5*n + 6/5*n**3 + 0 + 2/5*n**4 - 2*n**2.
-2*n*(n - 1)**3*(n + 2)/5
Solve 160/3*k - 32*k**2 + 2/3*k**4 + 2/3*k**3 + 256/3 = 0 for k.
-8, -1, 4
Factor -43*x + 4*x**2 - 3*x**2 + 91 - 5*x + 750 - 10*x.
(x - 29)**2
Let g(x) be the second derivative of -x**6/210 + 3*x**5/35 + 67*x**4/84 - 5*x**3/7 - 144*x**2/7 - 350*x. Solve g(c) = 0 for c.
-3, 2, 16
Let m(a) be the first derivative of 3*a**2 + 1/2*a**4 - 8/3*a**3 - 21 + 0*a. Solve m(z) = 0 for z.
0, 1, 3
Let v(k) = -k**2 - 5*k + 11. Let g(u) = -u + 2. Let x(m) = -5*g(m) + v(m). Factor x(w).
-(w - 1)*(w + 1)
Let x(k) = 3*k - 6. Let u be 15 - 11 - (-2)/(-2 + 0). Let n be x(u). Factor 3/5*t**n - 1/5*t**4 - 4/5*t + 0*t**2 + 0.
-t*(t - 2)**2*(t + 1)/5
Let x(h) be the first derivative of 7*h**5/20 + 37*h**4/16 + 19*h**3/6 + h**2 + 76. Suppose x(i) = 0. Calculate i.
-4, -1, -2/7, 0
Let y(k) be the first derivative of 6*k**3/13 - 2*k**2 - 651. Factor y(p).
2*p*(9*p - 26)/13
Let l be 3/1*(6 + -5). Factor -2*f**3 + 7*f**l - 10*f - f**2 - 4*f**2 + 0*f**2.
5*f*(f - 2)*(f + 1)
Suppose 3*j = -5 - 55. Let z = -17 - j. Factor -d**3 + d**3 - d**5 + d**z.
-d**3*(d - 1)*(d + 1)
Let d = -572296/21 - -27261. Let t = d + -93/14. Factor -3/2*l**2 - t*l**3 + 1/3 + 1/6*l - 5/6*l**4.
-(l + 1)**3*(5*l - 2)/6
Let g = -2 - 1. Let t = g + 6. Suppose 2*v**4 + 4*v**2 - 14*v + 22*v**2 - 12*v**t - 20*v + 10*v + 8 = 0. Calculate v.
1, 2
Solve -3*b**2 - 187*b - 177*b + 362*b - b**3 = 0.
-2, -1, 0
Let 2/3*o**2 - 196/3*o + 4802/3 = 0. Calculate o.
49
Let r be (10/(-15))/(4/(-30)). What is g in 0 + 0*g**2 + 1/4*g**r + 0*g + 1/4*g**4 + 0*g**3 = 0?
-1, 0
Solve 1536 + 3/8*r**2 - 48*r = 0.
64
Let o(a) be the third derivative of a**8/1680 + a**7/630 + 17*a**4/12 + 12*a**2 + 3. Let h(n) be the second derivative of o(n). Solve h(k) = 0.
-1, 0
Let x(k) be the first derivative of -10*k**4/21 + k**3 + 5*k**2/7 + 34*k + 14. Let v(r) be the first derivative of x(r). Suppose v(w) = 0. What is w?
-1/5, 5/4
Factor 68/13*s**3 + 2/13*s**4 + 26*s**2 - 4080/13*s + 7200/13.
2*(s - 3)**2*(s + 20)**2/13
Let i be -4*(-2)/16*0. Suppose 4*t + i - 20 = 0. Factor -4*f**3 - 4*f**2 + 0 + 5 - t.
-4*f**2*(f + 1)
Let i be 7/(11*12/66). Let l(f) be the first derivative of -4/3*f**3 - 7*f**2 + i*f**4 + 12 + 4*f. Factor l(y).
2*(y - 1)*(y + 1)*(7*y - 2)
Suppose -2*m = 13 - 1. Let d(p) = 4*p**2 - 8*p - 6. Let u(c) = -204 + 107 + c - 5*c**2 + 103 + 7*c. Let h(x) = m*u(x) - 7*d(x). Factor h(j).
2*(j + 1)*(j + 3)
Let f(q) be the first derivative of -2*q**3/9 + 4*q**2 - 40*q/3 + 63. Factor f(u).
-2*(u - 10)*(u - 2)/3
Let t(o) = -o**3 - 8*o**2 - 7*o + 2. Let l be t(-7). Let f(p) = -7*p. Let c be f(-1). Factor -9 + 15*a**l - c + 17*a + 5*a**2 + 15*a.
4*(a + 2)*(5*a - 2)
Determine f, given that -77308776/17*f + 2/17*f**4 + 544428/17*f**2 + 4116692322/17 - 1704/17*f**3 = 0.
213
Suppose 5*u + 2*z = 5*z + 495, -97 = -u + z. Determine d so that -170*d + 14*d - 24 - u*d**2 + 277*d**3 - 132*d**4 + 194*d**3 - 57*d**4 = 0.
-2/7, -2/9, 1, 2
Let y be (-4 - 0)/(18 - 19). Let r be 1 + (-10)/6 + y/6. Suppose 4/3*c**2 + 10/3*c**3 + r - 14/3*c**4 + 0*c = 0. Calculate c.
-2/7, 0, 1
Let c(v) be the first derivative of 5*v**3/9 - 15*v**2 - 41. Factor c(s).
5*s*(s - 18)/3
Let l be (-42)/(-108)*(-249)/14 - -7. Let w(r) be the second derivative of -l*r**4 + 0*r**2 + 10*r + 0 + 0*r**3. Let w(c) = 0. Calculate c.
0
Let f(g) be the first derivative of g**4/8 - 2*g**3 + 29*g**2/4 - 9*g + 20. Factor f(i).
(i - 9)*(i - 2)*(i - 1)/2
Let k(p) = p - 15. Let t be k(18). Factor 51*o**3 + 0*o**2 - 53*o**2 + 8*o**2 + t - 18*o**4 + 9*o.
-3*(o - 1)**3*(6*o + 1)
Suppose -4*c + 5 = -3. Let d = 86/51 + -6/17. Determine l, given that 1/3*l**c - d*l + 4/3 = 0.
2
Let f(u) be the first derivative of -u**6/9 + 4*u**5/5 - 13*u**4/6 + 8*u**3/3 - 4*u**2/3 - 461. Find l, given that f(l) = 0.
0, 1, 2
Let s = -40 + 46. Let a(n) be the third derivative of 6*n**2 + 0*n**5 + 0 + 1/52*n**4 + 2/39*n**3 + 0*n - 1/780*n**s. Factor a(v).
-2*(v - 2)*(v + 1)**2/13
Determine f, given that 24/7*f - 2/21*f**3 + 32/21*f**2 + 0 = 0.
-2, 0, 18
Let l(r) = 3*r**2 - 5*r - 12. Let a be 12/(9/3)*(-3)/2. Let n(v) = -2*v**2 + 2*v + 6. Let x(f) = a*l(f) - 10*n(f). Suppose x(c) = 0. Calculate c.
-3, -2
Let t be 2 - (-1)/(4/(-8)). Suppose 4*a + 5*i = 28, t = -8*a + 3*a - 2*i + 18. Factor 2*o**3 - 31 + a*o**5 + 31 - 6*o**2 + 6*o**4 - 4*o.
2*o*(o - 1)*(o + 1)**2*(o + 2)
Let i be 4 - (-2 + 6 + (1 - 4)). Factor 2*u**3 - 5*u**2 + 3*u**3 - 10*u**i.
-5*u**2*(u + 1)
Suppose -5*z = j + 21, -j = 2*z + 2*z + 16. Suppose j*x = 31 + 37. Suppose 25 - 40*c**2 + 12*c**3 - c + x*c - 8 + 15 = 0. What is c?
-2/3, 2
Let l be (-4)/20 - (-42)/10. Let c = 9 - l. Let c*d + 3 + 27*d**2 + d - d + 13*d = 0. What is d?
-1/3
Let m = 9 - 15. Let v = -2 - m. Factor a - 3*a**2 + a - v*a - a.
-3*a*(a + 1)
Let n(q) be the first derivative of 2*q**6/135 - q**5/45 - 2*q**4/27 + 5*q - 23. Let a(t) be the first derivative of n(t). Factor a(x).
4*x**2*(x - 2)*(x + 1)/9
Determine j so that -66*j**3 - 56*j**3 - 120*j - 62*j**3 + 15*j**2 + 140 + 189*j**3 = 0.
-7, 2
Suppose 0 = -3*m - 174 + 192. Let d(o) be the first derivative of 0*o**2 + 1/30*o**m - 2 + 0*o + 1/25*o**5 - 1/20*o**4 - 1/15*o**3. Factor d(c).
c**2*(c - 1)*(c + 1)**2/5
Let a be (-24)/42 + 9/15. Let y(f) be the second derivative of 0 + a*f**5 + 0*f**4 - 7*f + 0*f**3 + 1/35*f**6 + 0*f**2. Find b, given that y(b) = 0.
-2/3, 0
Let j(c) be the third derivative of 0*c + 1/600*c**6 - 7*c**2 - 1/300*c**5 + 0 + 0*c**3 + 0*c**4. Factor j(z).
z**2*(z - 1)/5
Let y(l) = -283*l + 2830. Let c be y(10). Suppose -2/3*u**2 + 0*u - 1/3*u**4 + u**3 + c = 0. What is u?
0, 1, 2
Find c, given that 0 - 8/9*c - 2/9*c**2 = 0.
-4, 0
Suppose -3*a + 7*a = 20. Factor -9*o**4 - o**2 - 4*o**a + o**2 + 2*o**3 + 11*o**5.
o**3*(o - 1)*(7*o - 2)
Let o(a) = 3*a**5 + 33*a**4 + 95*a**3 + 127*a**2 + 82*a + 18. Let m(f) = f**2 - f**4 - 4*f + 7*f - f**5 - 1 - 2*f. Let s(y) = -2*m(y) + o(y). Factor s(p).
5*(p + 1)**3*(p + 2)**2
Let f(q) be the second derivative of q**5/50 + 2*q**4/15 - 11*q**3/15 + 6*q**2/5 + 2*q + 91. Solve f(a) = 0 for a.
-6, 1
Let h(t) be the second derivative of -5*t**7/42 + 2*t**6/3 - 5*t**5/4 + 5*t**4/6 - 9*t. Solve h(a) = 0 for a.
0, 1, 2
Let z = 166 + -161. Let a(l) be the first derivative of 0*l + 2/3*l**3 + 14/5*l**z + l**6 + 0*l**2 - 1 + 5/2*l**4. Factor a(q).
2*q**2*(q + 1)**2*(3*q + 1)
Let x(l) be the second derivative of -7*l**4/12 - l**3/2 + 7*l**2/2 + 12*l. Let s(k) = -11*k**2 - 5*k + 10. Let a(p) = 5*s(p) - 8*x(p). Factor a(m).
(m - 3)*(m + 2)
Let a(o) = -o**3 + 1. Let p(w) = -w**3 - 6*w**2 + 18*w - 11. Let x(z) = 14*a(z) + 2*p(z). Factor x(t).
-4*(t - 1)*(t + 2)*(4*t - 1)
Suppose 3*x - 308*v - 18 = -304*v, 0 = -4*v. Let s(r) be the second derivative of 0 + 1/135*r**x + 0*r**3 + 2/27*r**4 - 7*r - 2/45*r**5 + 0*r**2. Factor s(h).
2*h**2*(h - 2)**2/9
Let u(j) be the third derivative of 34*j**7/105 + 11*j**6/5 + 4*j**5 - 4*j**4/3 + 2*j**2 + 119. Solve u(d) = 0.
-2, 0, 2/17
Let g(z) = -z**4 + 8*z**3 - 3*z**2 - 9*z + 3. Let m(j) = -3*j**4 + 23*j**3 - 10*j**2 - 24*j