be the second derivative of -l**6/90 + l**4/3 - 8*l**3/9 + 10*l - 1. Determine k, given that r(k) = 0.
-4, 0, 2
Factor -8/3*t**2 - 4*t + 0 - 1/3*t**3.
-t*(t + 2)*(t + 6)/3
Let d be (-24)/30*3/(-2). Let g = 1275/4 - 6367/20. Factor -6/5*r - d*r**2 - 2/5 - g*r**3.
-2*(r + 1)**3/5
Let g(m) be the second derivative of 2/3*m**3 + 9*m - 1/6*m**4 + 0 + 3*m**2. Solve g(l) = 0.
-1, 3
Suppose -6/5*j**2 + 2/5*j**4 - 22/5*j - 12/5 + 6/5*j**3 = 0. What is j?
-3, -1, 2
Let f(j) = -6*j - 1. Let m(d) = -5*d - 2. Let g(k) = 4*f(k) - 5*m(k). Let u be g(-4). Factor 1/2*y**u + 1/2 + y.
(y + 1)**2/2
Let a(k) be the second derivative of -k**7/1155 - k**6/220 + 3*k**5/110 - 5*k**4/132 - 13*k**2/2 - k + 1. Let w(n) be the first derivative of a(n). Factor w(h).
-2*h*(h - 1)**2*(h + 5)/11
Suppose -u + 2*y + 21 = 0, -4*u + 54 = 8*y - 6*y. Factor 0*j**2 + u - 8*j**2 + 1 + 4*j**2.
-4*(j - 2)*(j + 2)
Let v(z) be the third derivative of z**7/210 + z**6/24 + z**5/15 + 43*z**2 - z. Factor v(x).
x**2*(x + 1)*(x + 4)
Factor -22747/4*r**2 - 91/8*r**4 + 279841/8 + 1/8*r**5 + 231173/8*r + 1541/4*r**3.
(r - 23)**4*(r + 1)/8
Let y = -33 + 41. Let l be 12/(-15)*(-20)/y. Factor 3*u**l - 12*u - u**2 + u**2 + 0*u**2 + 9.
3*(u - 3)*(u - 1)
Let w(o) = -o**2 + 17*o - 58. Let u be w(12). Let r(f) be the third derivative of 0*f - 4*f**u + 0 + 1/4*f**4 + 0*f**3 - 1/40*f**6 - 1/20*f**5. Factor r(y).
-3*y*(y - 1)*(y + 2)
Solve -94 + 17*i**2 - 107*i**2 + 1581*i**3 + 186*i - 1583*i**3 = 0.
-47, 1
Let o(f) be the first derivative of 7*f**4 - 64*f**3/3 + 22*f**2 - 8*f + 21. Factor o(x).
4*(x - 1)**2*(7*x - 2)
Let t(r) be the second derivative of -3*r**5/140 - 19*r**4/84 - r**3/7 + 160*r. Solve t(n) = 0.
-6, -1/3, 0
Suppose 22 = l + 18. Suppose 3*t = l*t - 10*t. Factor t - 1/7*f**3 + 1/7*f**2 + 2/7*f.
-f*(f - 2)*(f + 1)/7
Let f(u) be the third derivative of 2/39*u**3 - 1/156*u**4 + 0 - 4/195*u**5 - 1/156*u**6 + 0*u + 6*u**2. Factor f(i).
-2*(i + 1)**2*(5*i - 2)/13
Let n(h) be the first derivative of -h**2/2 + h - 4. Let o be n(-3). Factor 0*y + o*y**4 - 8*y**3 - 4*y**2 + 0*y + 8*y**2.
4*y**2*(y - 1)**2
Suppose -6*u + u = 0, 0 = 4*i - 4*u - 36. Let 2*h**2 - i*h - 1 - 2*h - 4 - 4*h**2 = 0. Calculate h.
-5, -1/2
Suppose -2*j + 4 = -2*c, -4*c = -0*c - j - 7. Solve -3*y + 3*y**2 - 6 + 3*y**3 - 3*y + c*y + 3 = 0.
-1, 1
Let k be 0/((-12)/(-4)) - -39. Determine l so that -5*l**2 + 29 - k - 3*l - 12*l = 0.
-2, -1
Let t(p) be the third derivative of p**6/120 - 2*p**5/15 - 43*p**4/24 + 55*p**3/3 - 7*p**2 + 19. Factor t(y).
(y - 11)*(y - 2)*(y + 5)
Let j(k) = -k**3 + k**2 - k - 1. Let w(g) = 4392*g**3 - 6082*g**2 + 2806*g - 434. Let i(m) = 2*j(m) - w(m). Find y such that i(y) = 0.
6/13
Let z(s) be the third derivative of -s**5/90 - 29*s**4/36 - 26*s**3/3 + 402*s**2. Factor z(v).
-2*(v + 3)*(v + 26)/3
Let m(q) = 9*q**2 - 6*q + 5. Let h be m(1). Factor -7*z + 4*z + 7*z + h*z**2 - 8 - 4*z**3.
-4*(z - 2)*(z - 1)*(z + 1)
Let u(g) be the first derivative of 16/3*g**3 - 1 + 1/30*g**5 + 2/3*g**4 + 4*g**2 + 0*g. Let m(s) be the second derivative of u(s). What is v in m(v) = 0?
-4
Let q(z) be the second derivative of z**5/4 + 25*z**4/6 + 85*z**3/6 + 20*z**2 - 65*z - 2. What is v in q(v) = 0?
-8, -1
Let g(y) = 3*y**2 - 15*y + 9. Let h be g(11). Let d be (9 + h/(-27))*(-3)/(-2). Factor 0*q + 0 + 3/2*q**d.
3*q**2/2
Find b, given that -13456 + 71*b + 101*b - 28*b + 82*b - b**2 + 6*b = 0.
116
Suppose 264*v**3 + 7158*v**5 - 6*v + 21*v - 96*v**4 + 42 - 7149*v**5 - 234*v**2 = 0. Calculate v.
-1/3, 1, 2, 7
Let z(t) be the first derivative of t**5/15 - 5*t**4/12 + 7*t**3/9 - t**2/2 - 595. Factor z(i).
i*(i - 3)*(i - 1)**2/3
Factor 468*z + 18*z**3 - 5*z**2 + 19*z**2 + 15*z**4 - 5*z**4 + 2*z**5 - 464*z.
2*z*(z + 1)**3*(z + 2)
Let -64/21*z - 8/7 + 22/21*z**3 + 4/21*z**4 - 22/21*z**2 = 0. Calculate z.
-6, -1, -1/2, 2
Let s(x) be the third derivative of x**6/300 + 14*x**5/75 - 59*x**4/60 + 2*x**3 - 306*x**2 - 2*x. Factor s(z).
2*(z - 1)**2*(z + 30)/5
Let v(m) be the third derivative of m**5/80 - 13*m**4/32 + 3*m**3/2 + 98*m**2. Factor v(j).
3*(j - 12)*(j - 1)/4
Let s(j) be the second derivative of -5*j**4/48 - 5*j**3/12 + 15*j**2/8 + 548*j. Determine h, given that s(h) = 0.
-3, 1
Let j(d) be the second derivative of -d**6/165 + 4*d**5/11 - 200*d**4/33 + 28*d + 1. Factor j(z).
-2*z**2*(z - 20)**2/11
Suppose -9/11 + 7/11*s**3 - 43/11*s**2 + 69/11*s = 0. What is s?
1/7, 3
What is j in -2/13*j**2 - 72/13 - 40/13*j = 0?
-18, -2
Factor 10/13*z**2 - 8/13*z - 2/13*z**3 + 0.
-2*z*(z - 4)*(z - 1)/13
Let m be (0/(4/(-4)))/2. Suppose 3*i - 3*r = m, -i + 0*r = -2*r + 2. Factor -3*k + 3*k**3 - 3*k**i - 4*k**3 - k + k - 1.
-(k + 1)**3
Let r(v) be the third derivative of -v**5/120 - 11*v**4/144 + v**3/9 + 488*v**2. Determine m, given that r(m) = 0.
-4, 1/3
Let s = -42 + 45. Let g(c) be the second derivative of c**s + 0 - 2*c - 1/3*c**4 + 2*c**2. Factor g(r).
-2*(r - 2)*(2*r + 1)
Factor -1/4*i**2 + 7*i - 13.
-(i - 26)*(i - 2)/4
Let l(p) be the third derivative of p**7/735 - p**6/70 - 2*p**5/21 + 25*p**4/14 - 125*p**3/21 - 15*p**2 + 2. Determine i, given that l(i) = 0.
-5, 1, 5
Let k(j) = 862*j**2 - 243*j**3 - 265*j**2 + 24 + 0 - 225*j. Let d(m) = -729*m**3 + 1790*m**2 - 676*m + 72. Let t(w) = -3*d(w) + 8*k(w). Factor t(f).
3*(f - 2)*(9*f - 2)**2
Let q = -3 - -5. Suppose 0 = 5*r - 3*r - q*s - 2, 3*r - 2*s = 4. Suppose t + 2*t**3 - 2*t**2 - t**3 + 0*t**r + 4*t**2 = 0. Calculate t.
-1, 0
Let r = 44 - 40. Let v be (-42)/(-105) - (-1 - r/(-5)). Factor v*c - 6/5 + 3/5*c**2.
3*(c - 1)*(c + 2)/5
Let i(y) be the second derivative of 1/18*y**4 + 2/3*y**2 + 0 - 1/3*y**3 + 9*y. Factor i(l).
2*(l - 2)*(l - 1)/3
Let m(c) be the first derivative of 3*c**6 + 183*c**5/5 + 231*c**4/2 + 156*c**3 + 96*c**2 + 21*c - 120. Factor m(h).
3*(h + 1)**3*(h + 7)*(6*h + 1)
Let r(i) = i**2 + 84*i + 1728. Let b be r(-36). Factor -3/2*t**2 + b - 21/2*t.
-3*t*(t + 7)/2
Let r be (-12 + 16)*(-2)/(32/(-12)). Let f be 2 - 2*(-5)/6. Factor -r*k**2 - 2/3 + f*k.
-(k - 1)*(9*k - 2)/3
Let a(j) = -20*j - 1120. Let z be a(-56). Determine r so that -2/7*r**2 + 0 + z*r = 0.
0
Let j(g) be the first derivative of g**6/120 - g**5/15 + 5*g**4/24 - g**3/3 + 6*g**2 - 8. Let a(o) be the second derivative of j(o). Factor a(w).
(w - 2)*(w - 1)**2
Factor -3*k + 21*k**3 - k - 17*k**3 + 8*k**2 - 8 + 0*k.
4*(k - 1)*(k + 1)*(k + 2)
Suppose -5*r - 15 = -5*a, 0 = 2*a - 0*r + 2*r - 2. Factor -a*y**2 - 8*y**2 - 4*y - 3*y**3 + 2*y**2 - y**3.
-4*y*(y + 1)**2
Let f(u) be the second derivative of u**7/2940 + u**6/1260 - u**5/105 - u**4/21 + 7*u**3/6 + 18*u. Let q(w) be the second derivative of f(w). Solve q(r) = 0.
-2, -1, 2
Let z(h) be the first derivative of h**3/12 - 65*h**2/2 + 4225*h + 986. Determine s so that z(s) = 0.
130
Let r = -8404 + 25222/3. Factor r*j - 5/3*j**2 - 5/3.
-5*(j - 1)**2/3
Suppose 8 = -6*t - 16. Let s be -3 + (1 - -2) - t. Solve 1/4*u**s + 0 + 0*u + 3/4*u**3 + 1/2*u**2 = 0 for u.
-2, -1, 0
Determine p, given that 141/2*p - 3/4*p**2 + 144 = 0.
-2, 96
Let u = 12049/30135 + 1/6027. What is h in u*h**2 - 12/5*h + 0 = 0?
0, 6
Let p be ((-27)/(-9))/((-6)/(-4)). Suppose -20*j**4 - 38*j**p - 28*j**3 + 40*j**4 + 6*j**2 + 64*j - 24*j**4 = 0. What is j?
-4, 0, 1
Let r(y) = -2*y + 10. Let l be r(5). Let j be 174/54 + (-3 - l). Factor -2/9*o**2 - 4/9*o - j.
-2*(o + 1)**2/9
Let l(v) be the second derivative of v**5/50 + v**4/2 + 16*v**3/5 + 44*v**2/5 + 258*v. Factor l(p).
2*(p + 2)**2*(p + 11)/5
Let z = -23 + 26. Let n = -5 - -7. Factor 0*r + 17*r**z + 8*r**2 + 8*r**4 - 5*r**3 + 2*r**5 + n*r.
2*r*(r + 1)**4
Let v be (-5)/(-6)*288/1080. Find r such that v*r - 4/9 + 2/9*r**2 = 0.
-2, 1
Let i(d) be the first derivative of -d**6/24 - 9*d**5/20 - 15*d**4/8 - 11*d**3/3 - 3*d**2 + 623. Let i(h) = 0. What is h?
-3, -2, 0
Let r be (-6)/(-10) + (-403)/5 + -1. Let f be 4/(-15) + r/(-135). Factor -5/3*v**3 + 1/3*v**4 + 8/3*v - 4/3 + 1/3*v**5 - f*v**2.
(v - 1)**3*(v + 2)**2/3
Let l(s) be the third derivative of 0 - 2/21*s**4 + 0*s + 8/21*s**3 + s**2 + 1/105*s**5. Suppose l(v) = 0. Calculate v.
2
Let o be -2*(2 - 3) + (6 - 4). Let b be (8/(-6))/(1/(-3)). Factor -4*c**4 + 4*c**4 - b*c**o + 6*c**4.
2*c**4
Let y be 7 - 26 - (-54 - -33). Factor 18/7*b - 2/7*b**y - 16/7.
-2*(b - 8)*(b - 1)/7
Let 0*w + 0*w**4 + 0 + 4/5*w**2