he third derivative of w(a). Suppose j(k) = 0. What is k?
-1, 0
Let a(l) = 2*l**2 + l - 1. Let i(h) = -5*h**2 - 32*h - 223. Let k(p) = -2*a(p) - i(p). What is g in k(g) = 0?
-15
Let d(a) be the third derivative of -a**6/300 + 43*a**5/50 - 1849*a**4/20 + 79507*a**3/15 + 124*a**2. What is u in d(u) = 0?
43
Let z = 4732/3 - 1577. Factor 4/3 - z*o**2 + 0*o.
-(o - 2)*(o + 2)/3
Suppose -72*y + 78*y = 966. Factor 3 - 2*k + y*k**2 - 3 - 159*k**2.
2*k*(k - 1)
Solve -m**5 + 0*m**4 + 6*m**5 + 571*m**2 + 0*m**5 + 5*m**4 - 40*m**3 - 631*m**2 = 0.
-2, 0, 3
Let 148/11*j**4 - 632/11*j - 564/11*j**2 - 112/11 + 18/11*j**5 + 86/11*j**3 = 0. Calculate j.
-7, -2, -1, -2/9, 2
Let x be 9/30*(-3)/(72/10). Let a = 3/8 - x. Suppose -1/2*b**4 + a*b**2 + 0 + 0*b + 0*b**3 = 0. What is b?
-1, 0, 1
Factor 0*d**2 + 376*d + 3*d**2 - 3*d**2 - 2*d**2 - 2*d**2 - 8836.
-4*(d - 47)**2
Factor -24*f**2 + 3*f**3 + 1924 - 1924 + 21*f.
3*f*(f - 7)*(f - 1)
Let k be 1/(-4)*0 - -5. Suppose 17 = k*y + 7. Suppose 2*s**y - 12*s**3 - 8*s**4 - 8*s**2 + 4*s**5 + 6*s**2 = 0. Calculate s.
-1, 0, 3
Let m(y) = 3*y**4 + y**3 - y - 1. Let k(z) = 32*z**4 + 4*z**2 - 12. Let q(x) = k(x) - 12*m(x). What is s in q(s) = 0?
-3, -1, 0, 1
Suppose 0 = 9*t - 2*t - 21. Let w(m) be the second derivative of 0*m**2 + 0*m**5 + 0*m**t - 3*m + 0 - 1/30*m**6 + 0*m**4. Factor w(n).
-n**4
Let g(r) be the third derivative of -r**6/30 + 11*r**5/3 - 364*r**4/3 - 1568*r**3/3 + 9*r**2 + 7. Suppose g(k) = 0. What is k?
-1, 28
Let y(a) be the first derivative of 2*a + 0*a**2 + 1/4*a**3 - 3 - 1/16*a**4. Let w(x) be the first derivative of y(x). Factor w(l).
-3*l*(l - 2)/4
Suppose -6*s + 24 = 12. Let g(t) be the second derivative of -5/16*t**4 - 9/80*t**5 - t + 0 - 1/8*t**s - 7/24*t**3. Factor g(k).
-(k + 1)*(3*k + 1)**2/4
Let c(x) be the third derivative of -x**6/20 + 73*x**5/20 - 76*x**4 - 1083*x**3/2 - 348*x**2. Factor c(p).
-3*(p - 19)**2*(2*p + 3)
Let k(i) = i**2 + 283*i - 184. Let f(z) = 3*z**2 + 1135*z - 735. Let s(r) = -2*f(r) + 9*k(r). Factor s(u).
(u + 93)*(3*u - 2)
Let z = 2 + 4. Let c be 6/10 - z/(-5). Determine a so that -9/5*a**2 - 3/5*a**3 + c*a**4 + 0 - 3/5*a**5 + 6/5*a = 0.
-1, 0, 1, 2
Suppose -16*b = -14*b + t - 5, t - 8 = -3*b. Determine a, given that -6*a**4 + 3/2*a**5 + 6*a**b + 3 - 15/2*a + 3*a**2 = 0.
-1, 1, 2
Let a be 1*4 + (-10 - -8). Factor -3*l**3 + 2*l**a + 4*l + 6*l**4 + l**5 + 2*l**2 - 8*l**4.
l*(l - 2)**2*(l + 1)**2
Let h = 16165 + -80487/5. Solve -h - 132/5*f**2 + 897/5*f + f**3 = 0.
2/5, 13
Let a = -3410 + 3412. Solve 0 - 1/2*n - 1/2*n**a = 0.
-1, 0
Let m(b) be the second derivative of -b**5/5 - 5*b**4/3 + 28*b**3/3 + 306*b. Let m(z) = 0. Calculate z.
-7, 0, 2
Let o(d) be the third derivative of -d**5/120 + 3*d**4/16 + 73*d**2 - 2. Find i, given that o(i) = 0.
0, 9
Let y(w) be the third derivative of 2*w**2 + 0*w**3 + 0*w - 1/1020*w**6 + 0*w**5 + 0*w**4 + 0 + 0*w**7 + 1/2856*w**8. Factor y(c).
2*c**3*(c - 1)*(c + 1)/17
Let k be (-7 + 90/21)*14/(-12) - 3. Factor k*y**5 + 1/6*y**4 + 0 - 1/6*y**3 + 0*y - 1/6*y**2.
y**2*(y - 1)*(y + 1)**2/6
Let v(k) = -k**3 - 18*k**2 - 41*k - 143. Let y be v(-16). Let o(p) = p**3 - 3*p**2 + 4*p - 2. Let q be o(2). Factor 6*g**q - 9*g**3 - 7 + 7*g**3 - y.
-2*(g - 2)**2*(g + 1)
Factor -10 + 3*n**3 + 119*n - 134*n + 2*n**3.
5*(n - 2)*(n + 1)**2
Factor 1/10*a**4 - 1/5*a**3 + 1/5*a - 2/5*a**2 + 3/10.
(a - 3)*(a - 1)*(a + 1)**2/10
Let c(d) be the third derivative of -5/3*d**3 + 0*d - 16*d**2 + 1/12*d**5 - 5/24*d**4 + 0. What is n in c(n) = 0?
-1, 2
Let t(k) be the second derivative of -k**5/60 + 7*k**3/18 + k**2 - k + 48. Factor t(f).
-(f - 3)*(f + 1)*(f + 2)/3
Let j(x) be the first derivative of -x**5/45 + x**4/36 - 182. Factor j(y).
-y**3*(y - 1)/9
Let w(u) be the third derivative of 0 - 1/160*u**5 + 0*u + 0*u**3 + 4*u**2 - 1/64*u**4. Factor w(z).
-3*z*(z + 1)/8
Let g(x) be the third derivative of x**6/600 + 2*x**5/75 + 19*x**4/120 + 2*x**3/5 - 51*x**2. Solve g(c) = 0 for c.
-4, -3, -1
Let q(d) be the third derivative of 0*d - 1/15*d**5 + 1/30*d**6 - 16/3*d**3 - 31*d**2 - 5/3*d**4 + 0. Find k such that q(k) = 0.
-2, -1, 4
Let u = 36310 + -36310. Factor -4*f**2 + 0 - 2/3*f**3 + u*f.
-2*f**2*(f + 6)/3
Let n = 817/545 + 1/1090. Let i(t) be the second derivative of 0*t**3 + 0 - 1/4*t**4 + n*t**2 - 2*t. Factor i(d).
-3*(d - 1)*(d + 1)
Let j(p) be the second derivative of 12*p - 1/4*p**5 + 0 + 0*p**2 + 0*p**3 - 5/12*p**4. Factor j(c).
-5*c**2*(c + 1)
Let f(z) be the second derivative of 0 - 18*z**2 + 20/3*z**3 - 37*z - 1/3*z**4. Factor f(n).
-4*(n - 9)*(n - 1)
Solve 4*p - 2/3*p**4 - 2/3*p**5 + 0 + 14/3*p**3 + 26/3*p**2 = 0.
-2, -1, 0, 3
Factor 5*t**4 + 31*t**3 + 2*t**5 - 3*t**2 - t**4 - 39*t**3 + 6*t - t**2.
2*t*(t - 1)**2*(t + 1)*(t + 3)
Let b be 9/4*4592/2460. Factor 0 + 0*h**2 + b*h**5 - 6/5*h**3 - 3*h**4 + 0*h.
3*h**3*(h - 1)*(7*h + 2)/5
Factor 2*q**5 + 48*q + 8*q**2 + 24*q**4 - 392*q**3 - 32 + 348*q**3 - 6*q**5.
-4*(q - 2)**3*(q - 1)*(q + 1)
Let 4/3*d + 1/3*d**2 + 0 = 0. What is d?
-4, 0
Let a be (10 + -9 - (10 + -11))*1. Suppose -4 = r - 3*r. Factor 1/2*j**r + a + 2*j.
(j + 2)**2/2
Suppose 0 = -7*c + 4*c + 216. Let z = c - 141/2. What is o in 5/2*o + z + 1/2*o**2 - 1/2*o**3 = 0?
-1, 3
Suppose 0 = 21*r - 48 + 6. Determine x so that 2*x + 45*x**r + 7*x - 19*x = 0.
0, 2/9
Let s(c) be the first derivative of -c**4/22 - 20*c**3/11 - 57*c**2/11 - 56*c/11 + 156. Determine q, given that s(q) = 0.
-28, -1
Let o(i) = -7*i**3 + 5*i**2 + 6*i + 9. Let t(h) = -4*h**3 + 3*h**2 + 3*h + 5. Let k = -13 + 23. Let m(g) = k*t(g) - 6*o(g). Factor m(f).
2*(f - 2)*(f + 1)**2
Let v(s) be the third derivative of -s**7/210 + s**6/40 + s**5/10 - s**4/3 + 2*s**2 + 145. Find y, given that v(y) = 0.
-2, 0, 1, 4
Suppose -15*x = -13*x + g - 2, 0 = -5*x + 3*g + 16. Factor 6*t**2 - 4*t**3 + 15*t**x + 4*t**3 + 18*t + 3*t**3.
3*t*(t + 1)*(t + 6)
Let m(i) be the second derivative of -i**5/90 + 7*i**4/54 - 14*i**3/27 + 8*i**2/9 + 2*i - 5. Factor m(p).
-2*(p - 4)*(p - 2)*(p - 1)/9
Let c(x) be the third derivative of 5/3*x**4 - 5/336*x**8 + 0*x**3 - 1/4*x**6 + 17*x**2 + 0*x - 5/42*x**7 + 0 + 1/3*x**5. Factor c(h).
-5*h*(h - 1)*(h + 2)**3
Let 1/7*x**3 + 4/7*x**2 + 0 - 12/7*x = 0. What is x?
-6, 0, 2
Let r(p) = -p**4 + 7*p**3 - 11*p**2 - 4*p + 6. Let t(j) = -10*j**2 - 2*j + 3*j**3 + 6 - 4*j**3 - 2*j + 7*j**3. Let b(n) = 2*r(n) - 3*t(n). Factor b(q).
-2*(q - 1)**2*(q + 1)*(q + 3)
Let c**2 + 22*c + 5*c**4 - 2*c**2 - 11*c**3 - 12*c + c**3 - 4*c**2 = 0. What is c?
-1, 0, 1, 2
Factor 8 - 128 - 38*h - 37*h - h**2 + 3*h**2 + 19*h.
2*(h - 30)*(h + 2)
Suppose 12*j - 33 = 15. Solve j*x**5 - x**5 + 4*x**3 - 7*x**5 + 0*x**5 = 0.
-1, 0, 1
Let d(p) = p**3 - 5*p**2 + 11*p - 7. Let w be d(6). Let a = w - 93. Find m, given that 4*m**3 - 13/5*m**a + 0 - 9/5*m**4 + 2/5*m = 0.
0, 2/9, 1
Factor 4/3*x + 8 - 4/9*x**2.
-4*(x - 6)*(x + 3)/9
Let b(w) be the second derivative of 10*w**6/3 - 4*w**5 - 32*w**4 + 160*w**3/3 - 32*w**2 + w - 97. Factor b(s).
4*(s - 2)*(s + 2)*(5*s - 2)**2
Let s = 3553/6 + -592. Let l(m) be the second derivative of s*m**4 + 0 - 11*m + 0*m**3 + 0*m**2 - 7/20*m**5. Suppose l(r) = 0. Calculate r.
0, 2/7
Solve -17*n**2 - 4*n**3 + 32*n**2 + 8*n**3 - 15*n**2 = 0.
0
Factor -14 + 45/2*l**2 + 26*l.
(5*l - 2)*(9*l + 14)/2
Let t be (-202)/(-300) - (-2)/(-3). Let a(c) be the second derivative of 3*c + 0 + 1/100*c**5 + 0*c**4 + 0*c**3 - t*c**6 + 0*c**2. Factor a(x).
-x**3*(x - 1)/5
Factor -8/15*f**2 + 8/5*f + 0 - 2/15*f**3.
-2*f*(f - 2)*(f + 6)/15
Let l(w) be the third derivative of 0*w + 0*w**3 - 22*w**2 + 0 - 1/672*w**8 - 1/180*w**7 + 1/30*w**5 - 1/18*w**4 + 1/120*w**6. Find v such that l(v) = 0.
-2, 0, 2/3, 1
Let t(s) be the third derivative of s**6/24 + 5*s**5/12 + 5*s**4/4 + 240*s**2. Let t(x) = 0. Calculate x.
-3, -2, 0
Let q = 10706 - 160588/15. Factor 4/15*d**2 - q*d**5 + 0 + 0*d - 2/3*d**3 + 8/15*d**4.
-2*d**2*(d - 2)*(d - 1)**2/15
Suppose 12 = 3*y + 4*s, -43*y = -38*y + 5*s - 15. Suppose -2/5*f + y + 3/5*f**2 - 1/5*f**3 = 0. What is f?
0, 1, 2
Let f = -4981 + 4983. Factor -12/7*p + 6/7*p**4 + 0*p**f + 12/7*p**3 - 6/7.
6*(p - 1)*(p + 1)**3/7
Let z(i) = -3. Let l(w) = -w**2 - 2. Let p = 3 + 3. Suppose -p = -v - v. Let x(m) = v*l(m) - 2*z(m). Factor x(y).
-3*y**2
What is u in 115*u**4 + 28*u**3 - 111*u**4 - 4*u**5 