erivative of y(k). Factor v(a).
-a**2*(a - 1)*(a + 1)/2
Let b(g) = -3*g**3 + 285*g**2 - 2589*g + 2307. Let n(w) = -20*w**3 + 1852*w**2 - 16828*w + 14996. Let h(d) = 32*b(d) - 5*n(d). Factor h(f).
4*(f - 17)**2*(f - 1)
Let l(j) be the third derivative of 1/14*j**3 + 1/490*j**7 + 1/392*j**8 + 1/28*j**4 - 1/70*j**6 + 0*j + 0 - 1/70*j**5 - 5*j**2. Suppose l(m) = 0. What is m?
-1, -1/2, 1
Let j(z) be the second derivative of z**7/504 - z**6/72 + 11*z**4/12 + 6*z. Let v(w) be the third derivative of j(w). Suppose v(a) = 0. What is a?
0, 2
Suppose 5 = n - 5*j - 8, 10 = -5*j. Suppose n*z - 11*t + 14*t + 3 = 0, -t + 1 = 2*z. Factor 3/2*i**3 + 1/2*i - 3/2*i**z + 0 - 1/2*i**4.
-i*(i - 1)**3/2
Let u(b) be the third derivative of 0 + 0*b - 1/24*b**4 - 1/40*b**5 + 0*b**3 - 1/240*b**6 + 11*b**2. Factor u(x).
-x*(x + 1)*(x + 2)/2
Let x = -126 + 128. What is o in -8*o + 22*o - x*o**2 + 16 + o**2 - o**2 = 0?
-1, 8
Suppose -l + 26 = 4*z, 19 = 2*l + z + 9. Solve 4/3*f**3 + 4/3 - 4/3*f**l - 4/3*f = 0.
-1, 1
Let t(k) = k**2 + 4*k + 5. Let d be t(-3). Factor -2*y - 2 - 5/2*y**3 + 13/2*y**d.
-(y - 2)*(y - 1)*(5*y + 2)/2
Let x(i) be the second derivative of 3*i**2 + 0 + 1/4*i**4 + 18*i + 3/2*i**3. Find j, given that x(j) = 0.
-2, -1
Suppose 8/3*f - 2*f**3 - 10/3*f**4 + 0 + 10/3*f**2 - 2/3*f**5 = 0. What is f?
-4, -1, 0, 1
Factor -8/15*f**2 + 24/5 + 6/5*f - 2/15*f**3.
-2*(f - 3)*(f + 3)*(f + 4)/15
Let k(b) be the second derivative of -b**4/30 + 2*b**3/15 - 11*b - 2. Solve k(x) = 0.
0, 2
Suppose 0*n - k - 180 = n, -5*n = -4*k + 945. Let q = n + 187. Find x such that 3/4*x**q + 0 - 3/4*x = 0.
0, 1
Let h(q) be the third derivative of -q**4 + 0*q + 1/20*q**5 - 10*q**2 + 0 + 8*q**3. Factor h(a).
3*(a - 4)**2
Let u be (1/(-6))/((-6)/4). Let p(v) be the first derivative of 2/45*v**5 - 2/27*v**3 - u*v**2 + 1/18*v**4 + 0*v + 2. Factor p(o).
2*o*(o - 1)*(o + 1)**2/9
Let r(c) be the third derivative of -3*c**2 - 5/12*c**3 + 11/48*c**4 - 7/120*c**5 + 0 + 1/240*c**6 + 0*c. Suppose r(w) = 0. Calculate w.
1, 5
Suppose 4*b + 6*b = 720. What is q in 48 + 143*q - b*q - 4*q**2 - 67*q = 0?
-3, 4
Let b(y) = -5*y**4 + 75*y**3 - 5*y**2 - 65*y + 5. Let i(h) = 5*h**4 - 76*h**3 + 7*h**2 + 64*h - 6. Let p(c) = -6*b(c) - 5*i(c). Find d such that p(d) = 0.
-1, 0, 1, 14
Let f = -120 - -125. Let o(i) = -i**3 + i**2 - 1. Let u(m) = 6*m**3 - 4*m**2 - 16*m + 25. Let b(l) = f*o(l) + u(l). Find x, given that b(x) = 0.
-5, 2
Let j be 16/36*432/96. Factor 2/3 - x + 1/3*x**j.
(x - 2)*(x - 1)/3
Let i(w) be the third derivative of -w**7/840 - w**6/96 + 7*w**5/80 - 23*w**4/96 + w**3/3 - 484*w**2. Factor i(z).
-(z - 1)**3*(z + 8)/4
Suppose -75*x = -76*x - 98. Let f = 100 + x. Factor 3/2*w**4 + 0 + 0*w + 1/2*w**f - 2*w**3.
w**2*(w - 1)*(3*w - 1)/2
Let p(i) be the second derivative of -i**5 + 85*i**4/4 + 65*i**3/6 + 6*i. Find h such that p(h) = 0.
-1/4, 0, 13
Let a(f) be the third derivative of -f**6/120 - 3*f**5/20 - f**4/3 + f**2 + 4*f. Find i, given that a(i) = 0.
-8, -1, 0
Factor -2/5*l**3 + 4/5 + 2/5*l - 6/5*l**2 + 2/5*l**4.
2*(l - 2)*(l - 1)*(l + 1)**2/5
Factor -10/7*h**2 + 18/7 - 2/7*h**3 - 6/7*h.
-2*(h - 1)*(h + 3)**2/7
Let p(k) be the third derivative of -k**7/2415 + 4*k**6/345 - 21*k**5/230 - 4*k**4/69 + 64*k**3/69 + 644*k**2. Determine j, given that p(j) = 0.
-1, 1, 8
Let m(q) be the second derivative of -q**7/504 - 5*q**6/144 - q**5/4 - 5*q**4/2 + 32*q. Let d(t) be the third derivative of m(t). Find h, given that d(h) = 0.
-3, -2
Let w(p) = p**3 - p**2 - 4*p + 7. Let j be w(2). Let h(i) be the first derivative of -1/15*i**j + 0*i + 3 + 1/20*i**4 + 0*i**2. Find r such that h(r) = 0.
0, 1
Suppose 114762/11*p**2 - 141678/11*p + 42/11*p**4 - 4338/11*p**3 + 31212/11 = 0. What is p?
2/7, 1, 51
What is n in -85/4*n - 289/12 - 1/12*n**3 + 11/4*n**2 = 0?
-1, 17
Let c(r) be the first derivative of -2*r**3/3 - 10*r**2 - 50*r - 311. Factor c(p).
-2*(p + 5)**2
Let f be 2*1*2*1 + 0/(-2221). Factor -4/5*p**2 + 4/5*p**f - 4/5*p**3 + 4/5*p + 0.
4*p*(p - 1)**2*(p + 1)/5
Let z = 54299/24 + -2262. Let l(t) be the third derivative of 1/2*t**3 + 0 - 4*t**2 + 0*t - 1/15*t**5 + z*t**4. Factor l(o).
-(o - 3)*(4*o + 1)
Let w(x) be the first derivative of x**5/5 + 4*x**4 + 14*x**3/3 - 8*x**2 - 15*x + 59. Suppose w(p) = 0. Calculate p.
-15, -1, 1
Let g(b) be the third derivative of b**6/15 + 7*b**5/18 + 2*b**4/9 - 139*b**2. Factor g(k).
2*k*(3*k + 8)*(4*k + 1)/3
Let g(k) be the first derivative of -5*k**6/6 + 22*k**5 - 170*k**4 + 560*k**3/3 + 1400*k**2 - 4000*k + 122. Find m such that g(m) = 0.
-2, 2, 10
Factor 64/3*w + 512/3*w**2 + 2/3.
2*(16*w + 1)**2/3
Let v be (-62)/(-14) + (-48)/112. Factor 3*g**3 - 7*g**3 + 8*g - v*g + 6*g**2.
-2*g*(g - 2)*(2*g + 1)
Let r(s) = -6*s**4 + 5*s**3 + 31*s**2 + 13*s + 8. Let p(z) = 7*z**4 - 6*z**3 - 35*z**2 - 12*z - 8. Let c(k) = -5*p(k) - 6*r(k). Factor c(j).
(j - 4)*(j + 1)**2*(j + 2)
Suppose -j = 3*j. Suppose j = -3*f + c - 4, 4*c + 0*c - 16 = 0. What is r in -9/2*r**4 - 3/2*r**5 + 0*r + 0 + 6*r**2 + f*r**3 = 0?
-2, 0, 1
Let l = 1/1685 + 26957/5055. Determine o, given that -2/3*o**5 + 136/9*o**2 - 124/9*o**3 + 46/9*o**4 - l*o + 0 = 0.
0, 2/3, 2, 3
Let x = -50 + 22. Let z be 3/(-7) + (-26)/x. Let -11/4*u**2 + 13/4*u**4 + 13/4*u - 41/4*u**3 + 7*u**5 - z = 0. Calculate u.
-1, 1/4, 2/7, 1
Let b(v) be the first derivative of v**4/54 - 4*v**3/27 - 5*v**2/9 + 28*v - 20. Let x(t) be the first derivative of b(t). Factor x(n).
2*(n - 5)*(n + 1)/9
Let s(f) be the first derivative of 5*f**4/48 - 35*f**3/6 + 245*f**2/2 - 24*f + 34. Let g(n) be the first derivative of s(n). Factor g(l).
5*(l - 14)**2/4
Let s(g) = -8*g**3 - 2*g**2 + 6*g - 6. Let j(f) = f**3 + f**2 - f + 1. Suppose c - 12 = -c. Let v(x) = c*j(x) + s(x). Factor v(k).
-2*k**2*(k - 2)
Let a(s) = 6*s**2 + 148*s - 144. Let r(o) = -2*o**2 - 49*o + 48. Let q(f) = 3*a(f) + 10*r(f). Factor q(w).
-2*(w - 1)*(w + 24)
Let i = 3333591/30100 - 4/7525. Let u = 112 - i. Factor -5/4*d**4 - 1/4 - 5/2*d**2 - 1/4*d**5 - u*d - 5/2*d**3.
-(d + 1)**5/4
Let x(n) = 5*n - 5. Let j be x(2). Suppose -j*a + 35 = -4*r - 0*r, 2*a - 4*r = 26. Factor -3*c**3 - 3*c**4 + 2*c**4 + 2*c**a + 0*c**3.
-c**3*(c + 1)
Let a(f) = f**3 + 31*f**2 + 30*f + 12. Let n be a(-30). Solve -n - 39*t**2 - 54*t + 75/2*t**4 + 135/2*t**3 = 0.
-2, -2/5, 1
Let o(d) = -18*d**2 - 305*d + 22. Let f be o(-17). Factor 2/13*i**3 - 2/13*i**f + 2/13*i**2 + 0 + 0*i - 2/13*i**4.
-2*i**2*(i - 1)*(i + 1)**2/13
Let r be -3 + (-2 - 732/(-8)). Let c = r - 79. What is x in 0*x - 6*x**5 - c*x**3 - 3/2*x**2 - 12*x**4 + 0 = 0?
-1, -1/2, 0
Let d be (-18)/(-11 + (-35)/(-7)). Factor -n**4 - 5*n**2 - d*n - 2/3 - 11/3*n**3.
-(n + 1)**3*(3*n + 2)/3
Let b(d) be the first derivative of d**5/66 + d**4/132 + d**2 - 6*d + 3. Let r(q) be the second derivative of b(q). Suppose r(c) = 0. What is c?
-1/5, 0
Suppose -2/3*f**3 - 38/3*f**2 - 40 - 128/3*f = 0. Calculate f.
-15, -2
Let h(j) be the first derivative of 5*j**3/3 - 55*j**2/2 + 50*j - 83. Suppose h(p) = 0. What is p?
1, 10
Let b(y) = y**5 + y**2 - y. Let z(g) = 2*g**5 - 4*g**4 + 6*g**3 - 3*g**2. Let h be (10/(-14))/((-12)/84). Let t(p) = h*b(p) - 5*z(p). Factor t(u).
-5*u*(u - 1)**4
Let k(r) = -r**2 - r - 2. Let s(n) = -4*n**2 - 4*n - 7. Let z = -24 + 20. Let u(o) = z*s(o) + 14*k(o). Solve u(c) = 0.
-1, 0
Let s(x) = -15*x - 90. Let z be s(-6). Factor 0*q + 4/9*q**5 + 0 + z*q**2 + 4/9*q**4 + 0*q**3.
4*q**4*(q + 1)/9
Let -50/9*n + 100/9 + 2/9*n**3 - 4/9*n**2 = 0. What is n?
-5, 2, 5
Let l = -56/3 - -19. Let g be 2/6*0 + (-68)/(-51). What is f in l*f**2 - g*f + 1 = 0?
1, 3
Let b(z) be the first derivative of -4*z**4/3 - 8*z**3/3 + 6*z**2 + 18*z - 192. Find i, given that b(i) = 0.
-3/2, 3/2
Let l(o) be the first derivative of -14/3*o**2 - 4/9*o**3 - 8*o - 36. Factor l(t).
-4*(t + 1)*(t + 6)/3
Let n be (-4 - (-207)/54)/(2/(-8)). Let v be (26/(-39))/((-2)/6). Factor 0 - 8/3*f - 8/3*f**v - n*f**3.
-2*f*(f + 2)**2/3
Let b = 14104/7 - 2008. Let m = b - 89/14. Factor 1/2*o**3 + 0 + m*o - o**2.
o*(o - 1)**2/2
Let o(l) = 6*l**3 - l**2 - l - 1. Let a(j) = 20*j**3 - 40*j**2 - 64*j + 96. Let y(h) = -a(h) + 4*o(h). Factor y(u).
4*(u - 1)*(u + 5)**2
Let d(o) be the second derivative of 8*o**6/15 - 13*o**5/5 + 11*o**4/3 - 4*o**3/3 + 2*o + 8. Factor d(k).
4*k*(k - 2)*(k - 1)*(4*k - 1)
Let m