ven that -i**3 - l*i**2 + 3078*i**2 + 5 - 1 = 0.
-2, 1
Suppose 4*c - 10 = s, 10*s + 3*c - 17 = 6*s. Let 1/4*j**3 + 3*j - s - 3/2*j**2 = 0. What is j?
2
Let z(n) be the first derivative of n**5/180 + n**4/24 - 2*n**3/9 - 5*n**2 + 3. Let w(o) be the second derivative of z(o). Suppose w(g) = 0. Calculate g.
-4, 1
Let b(x) be the third derivative of -5*x**8/336 - 11*x**7/126 - x**6/12 + x**5/3 + 5*x**4/9 + 31*x**2. Let b(h) = 0. What is h?
-2, -2/3, 0, 1
Determine s, given that 0*s**2 - 3*s**4 + 30*s - 2*s**2 + 10*s**2 - 24 + s**2 - 12*s**3 = 0.
-4, -2, 1
Let x(r) be the first derivative of 1/6*r**3 + 0*r + 3/4*r**2 - 8. What is y in x(y) = 0?
-3, 0
Let 8/3 + 274/9*d**2 - 208/9*d**3 + 178/9*d + 32/9*d**4 = 0. Calculate d.
-1/4, 3, 4
Let i(l) = 18*l - 56. Let h be i(5). Suppose -28*j - 30 = -h*j. Let 0 - 4*a**2 + 5/2*a**4 + a**j + 2*a - 3/2*a**3 = 0. Calculate a.
-2, 0, 1/2, 1
Let p = -2 + 5. Let g be -2 - (p + 21/(-3)). Solve 0*l**g - 4 + 5 - l**2 = 0 for l.
-1, 1
Let w(z) = -z + 13. Let x be (-108)/24*-2*1. Let b be w(x). Solve -b + 3 + 1 + 2 + 20*p**2 - 14*p = 0.
1/5, 1/2
Suppose -14*q - 3 = -19*q + 3*x, 3*q + 3*x - 21 = 0. Let r(b) be the first derivative of -9/2*b**2 + q + b**3 + 6*b. Factor r(f).
3*(f - 2)*(f - 1)
Suppose 1296*b - 907*b**2 - 119*b**3 - 81*b**3 - 101*b**2 + 53*b**3 - 384 = 0. Calculate b.
-8, 4/7
Let l(q) = -q + 1. Let f be l(-4). Determine d so that 17*d**2 + 5*d + 12*d**3 - 5*d + 4*d + 4*d**4 - f*d**2 = 0.
-1, 0
Let d = 5 - -30. Let z = -33 + d. Let 0 - 30/11*k**5 + z*k**4 + 0*k**2 - 4/11*k**3 + 0*k = 0. Calculate k.
0, 1/3, 2/5
Let w(l) be the first derivative of -27 + 1/2*l**6 + 0*l**3 + 0*l**2 + 0*l**4 + 0*l - 9/5*l**5. What is x in w(x) = 0?
0, 3
Let y(u) be the first derivative of u**5 - 5*u**4/2 - 5*u**3/3 + 5*u**2 - 26. Factor y(g).
5*g*(g - 2)*(g - 1)*(g + 1)
Determine y, given that 2/15*y**2 + 0 - 2*y = 0.
0, 15
Let v be 3289/66 - 2*3/(-36). Let m = v - 46. Solve 3/4*s**m + 0*s**3 + 0 + 0*s - 3/4*s**2 = 0 for s.
-1, 0, 1
Suppose 4*y - 5*y = -9. Suppose 0 = 4*n + 5*a + 10, -2*n - y + 7 = a. Factor n*c**2 + 0 + 2/9*c**4 + 0*c - 2/9*c**3.
2*c**3*(c - 1)/9
Let v(k) = k**2 + 11*k - 12. Let z be v(-15). Suppose 0 = 2*f - z - 48. Suppose 21*i**5 + 6*i**5 - 42*i**4 - 24*i**3 + 96*i**2 + f*i - 30*i**4 = 0. Calculate i.
-2/3, 0, 2
Factor -2/3*s**2 - 296/3*s - 10952/3.
-2*(s + 74)**2/3
Factor 3*h**5 + 44*h**3 - 21*h**3 + 18*h**4 - 36*h - 12*h**2 + 4*h**3 + 0*h**3.
3*h*(h - 1)*(h + 2)**2*(h + 3)
Let c(b) be the third derivative of -1/35*b**7 + 0*b - 1/168*b**8 + 1/10*b**5 + 0*b**4 + 0 + 19*b**2 + 1/60*b**6 + 0*b**3. Determine w so that c(w) = 0.
-3, -1, 0, 1
Suppose -4*d + x + 9 = -0*d, -12 = -d - 3*x. Suppose 0 = -4*j - 8, d*o + j + 4 - 8 = 0. Factor 1/6*s**o + 1/3*s + 0.
s*(s + 2)/6
Suppose -3*j - 68*p = -72*p - 9, 0 = -2*j - 3*p + 6. Factor 0 + 3/2*i**2 - 3/4*i - 3/4*i**j.
-3*i*(i - 1)**2/4
Let u(n) be the third derivative of n**8/6720 - n**7/1680 + n**5/240 - n**4/96 + 2*n**3 + 4*n**2. Let p(h) be the first derivative of u(h). Factor p(a).
(a - 1)**3*(a + 1)/4
Suppose -n - l + 100 = 0, -3*n - 3*l + 308 = 2*l. Let b be 3/2*n/720. Factor -b*t - 1/5*t**2 + 2/5.
-(t - 1)*(t + 2)/5
Let w(n) be the third derivative of 0*n**7 + 1/672*n**8 + 0*n + 0*n**3 - 1/80*n**6 + 0 + 1/60*n**5 + 0*n**4 - 17*n**2. Factor w(s).
s**2*(s - 1)**2*(s + 2)/2
Suppose 0 = -y - 1 + 7. Suppose 0 = y*x - x - 20. Determine r, given that -3*r**5 + 2*r**5 - 3*r**4 + 2*r**x = 0.
-1, 0
Let f(h) be the second derivative of -h**5/20 + h**4/3 + h**3 - 3*h**2/2 + h. Let b be f(5). Factor -24*i - 3*i + 24*i**b + 6 - 3*i**2.
3*(i - 1)*(7*i - 2)
Factor 15/4 + 1/4*j**2 + 2*j.
(j + 3)*(j + 5)/4
Let b = -43/3 - -173/12. Let l(q) be the third derivative of -2/27*q**3 + b*q**4 + 3*q**2 + 0 + 1/135*q**6 - 2/45*q**5 + 0*q. Determine z, given that l(z) = 0.
1/2, 2
Let l(f) be the second derivative of 17*f + 0*f**2 + 1/20*f**5 + 0*f**3 + 1/42*f**7 + 0 - 1/15*f**6 + 0*f**4. Let l(t) = 0. Calculate t.
0, 1
Let t(g) be the second derivative of g**8/3920 + g**7/1960 + 3*g**3 + 16*g. Let i(k) be the second derivative of t(k). Solve i(p) = 0 for p.
-1, 0
Let a(l) = l**3 - 3*l**2 - 5*l + 6. Let n be a(4). Factor -11*s + 12*s**2 + 7*s**2 + 23*s + 5*s**4 - 33*s**3 - 3*s**n.
s*(s - 6)*(s - 1)*(5*s + 2)
Determine g, given that -14/15*g**2 + 88/15*g - 8/5 = 0.
2/7, 6
Factor -34/13*a**2 + 0 + 32/13*a**3 + 2/13*a.
2*a*(a - 1)*(16*a - 1)/13
Factor 0 + 1/4*o**2 + 7/4*o.
o*(o + 7)/4
Let u(t) be the third derivative of -t**5/12 - 2*t**4/3 - 11*t**3/6 + 116*t**2. Determine f, given that u(f) = 0.
-11/5, -1
Factor -1079*q + 34 + 2*q**2 + 2133*q - 1090*q.
2*(q - 17)*(q - 1)
Let d(g) = -12*g**4 - 188*g**3 - 568*g**2 - 520*g + 8. Let b(a) = -8*a**4 - 125*a**3 - 379*a**2 - 347*a + 5. Let n(h) = 8*b(h) - 5*d(h). Factor n(q).
-4*q*(q + 2)**2*(q + 11)
Let i = -7 + -6. Let q = i + 16. Factor a + 2 + 0*a - 4*a**4 - a**5 + 4*a + 0*a**q + 2*a**2 - 4*a**3.
-(a - 1)*(a + 1)**3*(a + 2)
Let l = -4402/7 - -630. Let i = l + -6/7. Determine w so that 2/7*w**3 - 2/7*w**4 + 0 + 0*w - i*w**5 + 2/7*w**2 = 0.
-1, 0, 1
Let h(o) = -26*o**3 - 8*o**2 + o + 17. Let a(z) = 9*z**3 + 3*z**2 - 6. Let g be (-28)/(-5) + 10/25. Let n(p) = g*h(p) + 17*a(p). Factor n(d).
-3*d*(d - 2)*(d + 1)
Let l(z) be the third derivative of 4*z**3 - 3*z**2 + 0 - 1/15*z**6 + 0*z - 7/6*z**4 - 3/5*z**5. Solve l(d) = 0.
-3, -2, 1/2
Factor 32*p - 7*p**2 + p**3 - 4*p**3 - 23*p**2 - 32*p.
-3*p**2*(p + 10)
Let l be 2/9*(-7 - (-85)/10). Solve -l*n**3 + n - 2/3*n**2 + 0 = 0 for n.
-3, 0, 1
Let k(h) be the third derivative of -h**6/210 - 4*h**5/105 + 2*h**4/7 + 135*h**2. What is m in k(m) = 0?
-6, 0, 2
Let c(r) be the third derivative of r**6/180 - 17*r**5/90 + 20*r**4/9 - 64*r**3/9 - 6*r**2 - 3*r. Factor c(w).
2*(w - 8)**2*(w - 1)/3
Let g = 6813 + -6809. Suppose -20/7*r**g + 0 + 0*r - 4/7*r**3 - 8/7*r**5 + 8/7*r**2 = 0. Calculate r.
-2, -1, 0, 1/2
Let f(t) = 4*t**3 - 13*t**2 - 26*t - 18. Let p(g) = 9*g**3 - 27*g**2 - 53*g - 38. Let c(z) = 7*f(z) - 3*p(z). Factor c(y).
(y - 12)*(y + 1)**2
Suppose 5*p = 4*p + 4. Let d be (-1 + 1)*(2 - 12/p). Factor 0*f**3 + d*f**2 + 0*f + 0 + 3/5*f**4.
3*f**4/5
Let x(u) = 3*u**2 + 3. Let l be 5*4/10*3. Let m(y) = -y**2. Let c(h) = l*m(h) + x(h). Factor c(n).
-3*(n - 1)*(n + 1)
Factor 0*z + 0 + 2*z**2 + 2/5*z**3.
2*z**2*(z + 5)/5
Find x, given that -3/4*x**2 - 15*x - 57/4 = 0.
-19, -1
Let k(y) = -11*y - 42. Let b be k(-4). Let p(t) be the third derivative of 0*t**3 + 0*t + 0 - t**b - 1/12*t**4 - 1/120*t**6 - 1/20*t**5. Solve p(l) = 0.
-2, -1, 0
Let o(v) be the third derivative of -25*v**8/2856 + 2*v**7/51 + 14*v**6/255 - 8*v**5/15 + 44*v**4/51 - 32*v**3/51 - 2*v**2 - 78. Solve o(f) = 0 for f.
-2, 2/5, 2
Factor -75 + 10*t + 17/4*t**2 + 1/4*t**3.
(t - 3)*(t + 10)**2/4
Let i be 92/22 + 15 + 2171/(-143). Determine j, given that -21/5*j**i - 6/5*j**2 + 0 - 6/5*j**5 - 21/5*j**3 + 0*j = 0.
-2, -1, -1/2, 0
Let v(d) = -4*d**2 + 8*d + 4. Suppose -5*t = -5*r - 5, r + 4*t - 2*t - 11 = 0. Let m(l) = -12 + r + 8. Let i(b) = 4*m(b) + v(b). Find u such that i(u) = 0.
0, 2
Factor -2/15*w + 2/15*w**3 + 2/5*w**2 - 2/5.
2*(w - 1)*(w + 1)*(w + 3)/15
Let t(d) be the first derivative of d**8/1260 - 2*d**7/315 + 2*d**6/135 - 2*d**3/3 + 14. Let c(p) be the third derivative of t(p). Suppose c(b) = 0. What is b?
0, 2
Let u(o) be the first derivative of o**5/15 - o**4/3 + 11*o**2/2 - 6. Let d(v) be the second derivative of u(v). Find l such that d(l) = 0.
0, 2
Suppose -8*h = -57 - 7. Suppose -h*l = -6*l - 4. Find m such that 0 + 4/3*m**l - 4/3*m**4 + 0*m - 2/3*m**5 + 2/3*m**3 = 0.
-2, -1, 0, 1
Let f(u) be the second derivative of 1/6*u**3 + 0 - 1/12*u**4 - 1/20*u**5 + 0*u**2 + 10*u + 1/30*u**6. Solve f(x) = 0.
-1, 0, 1
Let w(d) = -18*d**2 - 68*d - 18 + 1 + 1. Let k(i) = -37*i**2 - 136*i - 32. Let c(p) = -2*k(p) + 5*w(p). Factor c(o).
-4*(o + 4)*(4*o + 1)
Let d(j) be the first derivative of -4*j**2 - 1/270*j**5 + 0*j**3 - 1/108*j**4 + 0*j - 2. Let i(g) be the second derivative of d(g). Let i(p) = 0. What is p?
-1, 0
Let u(v) be the third derivative of -v**7/42 + 7*v**6/24 + 3*v**5/4 - 575*v**4/24 + 250*v**3/3 + 22*v**2. Find s such that u(s) = 0.
-4, 1, 5
Factor -25*h + h + 3*h**2 - 28 - 32.
3*(h - 10)*(h + 2)
Factor -9/2*p**2 + 21/2 - 11/2*p - 1/2