
Let d(z) be the second derivative of z**4/114 + 11*z**3/57 + 18*z**2/19 - 185*z - 2. What is a in d(a) = 0?
-9, -2
Let d = -2513 - -324175/129. Let p = 139/645 + d. Factor -2/5*x**3 - 1/5*x**4 + 2/5*x**2 - 1/5 + p*x**5 + 1/5*x.
(x - 1)**3*(x + 1)**2/5
Let y(g) be the first derivative of -g**5/15 - 11*g**4/12 - 11*g**3/3 - 3*g**2/2 + 18*g - 371. Let y(x) = 0. Calculate x.
-6, -3, 1
Let q be (-10280)/(-48) - (-10)/12. Let h = 219 - q. Suppose 5/4*m**h - m**5 + 0*m**2 + 0 - 1/4*m**3 + 0*m = 0. What is m?
0, 1/4, 1
Let a(k) be the first derivative of -9*k**6/2 + 18*k**5 - 21*k**4 + 8*k**3 - 219. Factor a(w).
-3*w**2*(w - 2)*(3*w - 2)**2
Let h(t) be the third derivative of -t**8/1848 - 7*t**7/55 - 3673*t**6/330 - 21936*t**5/55 - 28800*t**4/11 - 73728*t**3/11 + 738*t**2. Let h(a) = 0. What is a?
-48, -2, -1
Let x(i) be the first derivative of -i**4/38 + 2*i**3/19 + 4*i**2/19 + 248. Determine d so that x(d) = 0.
-1, 0, 4
Let a(q) be the third derivative of -q**5/330 - q**4/44 + 55*q**2. What is m in a(m) = 0?
-3, 0
Factor -1 - 3/2*x + 3/2*x**3 + x**2.
(x - 1)*(x + 1)*(3*x + 2)/2
Let z(i) be the third derivative of i**5/100 - i**4/40 + 90*i**2. Solve z(r) = 0.
0, 1
Find w such that 40*w**2 + 13/5 - 103/5*w + 16/5*w**3 = 0.
-13, 1/4
Let v be ((-1263)/(-4210))/(4/10). Determine y, given that -y - 1/4*y**2 - v = 0.
-3, -1
Let s(g) = -g - 5. Let v be s(-6). Let d be 1*(v + 6/2). Determine a so that 6*a**3 + a + 2*a**2 + 2*a**5 + 3*a + 6*a**d - 4*a = 0.
-1, 0
Let p(q) be the third derivative of 0*q - 37*q**2 - 29/20*q**5 + 0 + 13/40*q**6 - 3/2*q**3 + 19/8*q**4. Suppose p(d) = 0. Calculate d.
3/13, 1
Let p(z) be the third derivative of -z**6/80 + z**5/20 + z**4/2 + 113*z**2. Factor p(i).
-3*i*(i - 4)*(i + 2)/2
Let x(r) be the third derivative of r**5/12 - 115*r**4/24 - 20*r**3 + r**2 + 58. Factor x(h).
5*(h - 24)*(h + 1)
Suppose 4*d = -2*n + 12 + 2, -2*n = 6. Suppose -6*l = -3*l - d*l. Factor 3/5*t**2 + 0*t + l.
3*t**2/5
Let k(n) be the third derivative of -n**7/15 - 17*n**6/20 - 49*n**5/15 - 2*n**4 - n**2 - 7*n. Solve k(z) = 0 for z.
-4, -3, -2/7, 0
Let u(c) be the second derivative of 23*c + 1/33*c**4 + 4/11*c**2 + 1/110*c**5 - 7/33*c**3 + 0. Determine p so that u(p) = 0.
-4, 1
Suppose 3099*h - 5*l - 35 = 3094*h, 3*l = -2*h - 21. Factor y**3 - y**4 + 7/4*y**2 + 1/2*y + h.
-y*(y - 2)*(2*y + 1)**2/4
Let h(i) be the first derivative of -3/28*i**4 - 1/7*i**3 + 0*i**2 + 0*i + 3. Factor h(w).
-3*w**2*(w + 1)/7
Let p = -5483 - -21941/4. Factor 3/2*b**3 + 3/2*b**2 + 3/4 - p*b**4 + 3/4*b**5 - 9/4*b.
3*(b - 1)**4*(b + 1)/4
Let s(v) be the third derivative of -v**5/180 + 7*v**4/72 - 47*v**2. Factor s(f).
-f*(f - 7)/3
Let m(h) be the third derivative of 0*h - 3/20*h**5 - 1/70*h**7 - 3*h**2 + 1/10*h**6 + 0 - 1/2*h**4 + 2*h**3. Solve m(o) = 0 for o.
-1, 1, 2
Let i = -99 - -102. Suppose 2*n - n + 20 = 5*p, -5*p = i*n - 20. Suppose -1/3*m**2 + 0*m + n + 1/3*m**3 = 0. Calculate m.
0, 1
Let x = 40 - 479/12. Let t(f) be the second derivative of f**2 + 1/2*f**3 + 0 + x*f**4 + 3*f. Let t(u) = 0. Calculate u.
-2, -1
Let o(r) be the third derivative of r**5/300 - r**4/20 - 8*r**3/15 + 74*r**2 + 2*r. Find w, given that o(w) = 0.
-2, 8
Let d be 2/10 - (3 + (-109)/5). Let a be d/(-38)*4/(-6). Factor 1/3*v**2 + 0*v - a.
(v - 1)*(v + 1)/3
Let m(y) be the third derivative of -y**5/90 - 2*y**4/3 - 16*y**3 - 141*y**2. Let m(k) = 0. What is k?
-12
Let a(p) be the third derivative of p**7/1260 - p**6/540 - p**5/90 - 11*p**3/2 - p**2 + 5. Let t(b) be the first derivative of a(b). Let t(n) = 0. What is n?
-1, 0, 2
Let o(p) be the first derivative of -p**6/8 - 3*p**5/20 + 15*p**4/16 + 5*p**3/4 - 3*p**2/2 - 3*p - 115. What is t in o(t) = 0?
-2, -1, 1, 2
Let k be ((-110)/9009)/(-10)*(-12)/(-5). Let m(t) be the third derivative of k*t**7 + 0*t**6 + 0 + 0*t**3 - 1/130*t**5 - 2*t**2 + 1/156*t**4 + 0*t. Factor m(x).
2*x*(x + 1)*(2*x - 1)**2/13
Factor 0*m + 3/4*m**3 + 0 + 6*m**2.
3*m**2*(m + 8)/4
Suppose 0 = 3*y - 26 - 13. Let x be (y/(-13))/(3/(-4)). Solve 1/3*f**2 + x*f**3 - 2/3*f - 2/3*f**5 - 1/6 - 1/6*f**4 = 0.
-1, -1/4, 1
Let b be (-5)/(-10) + (-2 - 574/(-276)). Let l = b - -2/23. Factor 0*d - l*d**3 + 4/9*d**4 + 0 + 2/9*d**2.
2*d**2*(d - 1)*(2*d - 1)/9
Let v(x) be the third derivative of x**8/3024 - 4*x**7/945 + x**6/90 + x**5/270 - 13*x**4/216 + x**3/9 - 162*x**2. Factor v(i).
(i - 6)*(i - 1)**3*(i + 1)/9
Let b(i) = -21*i**5 + 24*i**4 + 18*i**3 - 9*i - 18. Let t(q) = -5*q**5 + 6*q**4 + 5*q**3 - 2*q - 4. Let j(l) = 2*b(l) - 9*t(l). Factor j(c).
3*c**3*(c - 3)*(c + 1)
Let y be (-1 + 7)/(-7 + 8). Let w = 12 + -10. Factor w*c**2 - c**2 + y*c - 4*c**2.
-3*c*(c - 2)
Let f be ((-323)/153)/((-1)/(-3)). Let c = 7 + f. Determine q so that -2/3*q**2 + 0 + c*q**4 + q**3 - q**5 + 0*q = 0.
-1, 0, 2/3, 1
Let t(k) = 21*k + 21. Let s(m) = -3*m**2 + 22*m + 18. Let d(x) = x**2 + 1. Let v(y) = 2*d(y) + s(y). Let w(a) = -4*t(a) + 3*v(a). What is r in w(r) = 0?
-4, -2
Let m(u) be the third derivative of u**8/2184 - u**7/195 + u**6/78 + u**5/195 - 11*u**4/156 + 5*u**3/39 - 71*u**2. Solve m(b) = 0 for b.
-1, 1, 5
Factor 1/2*n**5 + 0*n - 2*n**2 + 1/2*n**4 - 2*n**3 + 0.
n**2*(n - 2)*(n + 1)*(n + 2)/2
Suppose -1099 = -d - 3*d - 5*u, u = -4*d + 1103. Let x = d - 1928/7. What is i in x*i + 0 + 2/7*i**2 = 0?
-2, 0
Suppose -50*h + 17 + 115 = 32. Solve -5/4*b**h - 5/2*b + 15/4 = 0.
-3, 1
Factor -5*l**2 - 36 + 2*l + 4*l + 7*l**2.
2*(l - 3)*(l + 6)
Let -96/13 + 80/13*q + 2/13*q**3 - 22/13*q**2 = 0. What is q?
3, 4
Let o be (0 - (-4)/(-4)) + 1. Let d be 84/24 - (-4)/((-4)/3). Factor -d*m - 1/6*m**2 + o.
-m*(m + 3)/6
Let r be (2*2/90)/(233/27261). Find b such that r*b**2 + 4/5*b + 0 - 6*b**3 = 0.
-2/15, 0, 1
Let j = -51 - -53. Suppose -5*o = 15, 2*o = j*t + t - 12. Factor 0 - n - 1/2*n**3 - 3/2*n**t.
-n*(n + 1)*(n + 2)/2
Let i = 1 - -3. Let b(l) be the first derivative of 0 + 3*l - 2 - 4*l**3 + 6*l**2 + 3*l**3 - 3*l**i. Factor b(u).
-3*(u - 1)*(u + 1)*(4*u + 1)
Let y(u) be the second derivative of -u**4/12 + 5*u**3/3 - 8*u**2 + u - 44. Factor y(v).
-(v - 8)*(v - 2)
Let i(g) = g**2 + 43*g + 91. Let t = 35 + -40. Let z(y) = 21*y + 45. Let x(c) = t*z(c) + 3*i(c). Factor x(w).
3*(w + 4)**2
Let h(x) be the third derivative of x**6/24 - 19*x**5/2 + 5415*x**4/8 - 14*x**2 - 27. Suppose h(b) = 0. What is b?
0, 57
Let m(w) be the first derivative of 0*w**3 + 9 + 0*w - 3/8*w**4 - 3/10*w**5 + 0*w**2. Factor m(k).
-3*k**3*(k + 1)/2
Factor -12 + 50/7*q + 32/7*q**2 + 2/7*q**3.
2*(q - 1)*(q + 3)*(q + 14)/7
Let d(b) be the third derivative of b**5/30 + 35*b**4/12 + 34*b**3/3 - 151*b**2. Solve d(q) = 0 for q.
-34, -1
Let v(j) be the second derivative of j**4/78 + 32*j**3/39 + 256*j**2/13 - 2*j - 48. Factor v(z).
2*(z + 16)**2/13
Let g be (91/(-26))/(2/(-16)). Let c be g/3 + 2/(-6). Let 2*b**3 - 3*b**3 - 4*b**4 + 0*b**3 + c*b**3 = 0. Calculate b.
0, 2
Let j be 22/(-4) + (7 - 1). Let f(s) be the second derivative of -j*s**2 + 6*s - 1/24*s**4 - 1/4*s**3 + 0. Factor f(r).
-(r + 1)*(r + 2)/2
Let m(k) = k**2 - 22*k - 104. Let p be m(-4). Factor 3/2*u**3 + p + 3/2*u**2 + 0*u.
3*u**2*(u + 1)/2
Let s = 22 + -16. Let p(v) be the third derivative of -1/32*v**4 + 0*v**3 - 1/80*v**5 + 0*v + 0 + 1/280*v**7 + 1/160*v**s + 4*v**2. Find d such that p(d) = 0.
-1, 0, 1
Let l(n) = 105*n**2 + 2365*n + 4550. Let g(h) = -8*h**2 - 182*h - 350. Let v(f) = 40*g(f) + 3*l(f). Find p, given that v(p) = 0.
-35, -2
Let y be 6*(5 + (-35)/15). Let d(h) = -h + 16. Let r be d(y). Factor -3/2*k**2 + 3*k + r.
-3*k*(k - 2)/2
Suppose 0 = 8*w - 25*w + 68. Let o(k) be the first derivative of -1/6*k**6 - 5/2*k**2 + 9 + 3*k - 2/3*k**3 - 1/5*k**5 + 3/2*k**w. Factor o(v).
-(v - 1)**3*(v + 1)*(v + 3)
Let s(y) be the third derivative of y**5/15 - 47*y**4/6 - 32*y**3 + 261*y**2. Let s(k) = 0. Calculate k.
-1, 48
Let p be (1 + -2 - -3) + (-50)/(-25). Solve -1/3*v**2 - 4/3*v**p + 7/6*v**3 + 0*v + 1/2*v**5 + 0 = 0 for v.
0, 2/3, 1
Let l(q) be the second derivative of 1/15*q**5 + 0*q**4 - 2/3*q**3 + 0 + 4/3*q**2 + 11*q. Suppose l(a) = 0. Calculate a.
-2, 1
Let c = -4 - -4. Suppose -5 = -x - 2*j + 3, c = -2*x + 4*j. Let -d**4 - 2*d**3 + x*d**4 - d**4 - 2*d**2 + 2*d = 0. Calculate d.
-1, 0, 1
What is x in 0 + 34/3*x**3 + 2/3*x**2 - 34/3*x - 2/3*x**4 = 0?
-1, 0, 1, 17
Let z(i) be the first d