 for n.
-2, -1, 0, 1
Let f(u) be the first derivative of u**5/15 + u**4/2 - 8*u**3/3 + 13*u**2/3 - 3*u - 128. Let f(n) = 0. Calculate n.
-9, 1
Let p(r) = -2*r**2 + 9*r - 9. Let k be p(4). Let d be (-1)/((k/(-15))/(-1)). Factor -1 - 4*y**2 - 4*y**2 + 4*y**4 - 4*y + 2 - 4*y**5 + 8*y**d + 3.
-4*(y - 1)**3*(y + 1)**2
Let m(s) be the third derivative of s**5/80 - 11*s**4/32 + 9*s**3/4 - 2*s**2 + 17. Suppose m(y) = 0. What is y?
2, 9
Let u = 106 + -71. Factor -u*y - 4 - 5*y + 12 + 4*y**2 + 92.
4*(y - 5)**2
Let z(h) be the first derivative of -h**3/7 - 27*h**2/7 + 57*h/7 - 12. Factor z(t).
-3*(t - 1)*(t + 19)/7
Let j(z) be the first derivative of -z**7/30 + z**6/45 + 7*z**5/30 - z**4/3 + 7*z**3/3 + 3. Let r(s) be the third derivative of j(s). Factor r(d).
-4*(d - 1)*(d + 1)*(7*d - 2)
Let g be 1*(-1)/(-1)*190/10. Determine n so that 3*n**3 + n**4 + 44*n**2 + 0*n**4 - 23*n**2 - g*n**2 = 0.
-2, -1, 0
Let n(z) = -3*z**3 - 241*z**2 - 6559*z - 59049. Let q(o) = -9*o**3 - 722*o**2 - 19676*o - 177147. Let i(k) = -7*n(k) + 2*q(k). Factor i(f).
3*(f + 27)**3
Let o(h) be the second derivative of h**7/1680 - h**6/240 + h**5/80 + h**4/12 + 7*h. Let n(i) be the third derivative of o(i). Factor n(a).
3*(a - 1)**2/2
Suppose -3*q = 0, 0*q = -2*f - 5*q. Suppose -15/2*m**3 + 6*m + 0 + 0*m**2 + 3/2*m**5 + f*m**4 = 0. Calculate m.
-2, -1, 0, 1, 2
Find h such that 0*h**4 + 0 - 12/5*h + 3*h**3 + 0*h**2 - 3/5*h**5 = 0.
-2, -1, 0, 1, 2
Let j be (-35)/56 - (-87)/24. Let b(i) be the third derivative of -1/60*i**5 + 0*i + 0*i**j + 9*i**2 - 1/24*i**4 + 0. Find r such that b(r) = 0.
-1, 0
Let j = 2992 - 20908/7. Let g = -19/24 - -3733/168. What is o in -16/7*o - 170/7*o**4 + 0 - j*o**3 + g*o**5 + 72/7*o**2 = 0?
-2/3, 0, 2/5, 1
Suppose 9*j - 49 = 8*j. Let o = j + -45. Factor -2/5*p**o + 0 + 0*p - 2/5*p**2 - 4/5*p**3.
-2*p**2*(p + 1)**2/5
Let j(h) be the third derivative of h**7/504 + h**6/18 + 2*h**5/3 + h**4/8 + 5*h**2. Let v(t) be the second derivative of j(t). Let v(o) = 0. What is o?
-4
Let x(s) = -13*s**3 + 43*s**2 - 29*s - 36. Let n(y) = 7*y**3 - 22*y**2 + 17*y + 18. Let k(t) = 7*n(t) + 4*x(t). Let k(d) = 0. What is d?
-1, 1, 6
Let j be 3 + 92/(-28) - 130/35. Let c be j + (1 - 0) + 4 + 2. Factor -2/3*g + 4/3*g**2 + 0 - 2/3*g**c.
-2*g*(g - 1)**2/3
Let f(l) be the third derivative of -21125*l**6/6 - 260*l**5/3 - 2*l**4/3 - 47*l**2 - 4*l. Factor f(t).
-4*t*(325*t + 2)**2
Let s be (-3744)/(-22) - (-18)/(-99). Suppose 0 = 169*a - s*a. Find v, given that -5/4*v**2 - 5/2*v + a = 0.
-2, 0
Let j(q) be the second derivative of q**7/840 - q**6/120 + q**5/60 - q**3 - 2*q. Let o(t) be the second derivative of j(t). Let o(c) = 0. What is c?
0, 1, 2
Let t(n) = n**3 + 8*n**2 - 10. Let s be t(-7). Factor 164 - 164 - s*p**3 - 8*p - 64*p**2 - 51*p**3 + 162*p**4.
2*p*(p - 1)*(9*p + 2)**2
Let f(z) = 7*z**4 + z**3 - 8*z**2 - 2*z + 2. Let a(k) = 5*k - 2 - 13*k**4 + 6*k**2 - k**3 + 11*k**2 - 3. Let m(w) = 2*a(w) + 5*f(w). Factor m(b).
3*b**2*(b + 1)*(3*b - 2)
Solve -17*f**2 - 40*f**3 + 546*f**4 - 564*f**4 - 2*f**2 - 2*f**5 - 5*f**2 = 0 for f.
-6, -2, -1, 0
Let o(v) = -2*v - 5. Let a be o(-4). Suppose -54*w - 104 = -62*w. Factor -w*x**2 - 4*x - 3*x**a + 6*x**3 - 8*x**3 + 4.
-(x + 1)*(x + 2)*(5*x - 2)
Let n be 184/(-990) - 18/(-81). Let g(y) be the first derivative of n*y**5 + 4/11*y**3 + 2/11*y**4 + 4/11*y**2 + 2/11*y - 2. Factor g(s).
2*(s + 1)**4/11
Let g(l) be the first derivative of 47 - l**4 - 16/7*l**3 + 8/7*l**2 + 0*l. Factor g(c).
-4*c*(c + 2)*(7*c - 2)/7
Suppose -3*h = -17*h + 42. Let q(z) be the third derivative of 9*z**2 + 0 - 2/15*z**5 - 2/3*z**h - 1/60*z**6 - 5/12*z**4 + 0*z. Let q(y) = 0. Calculate y.
-2, -1
Let j(f) be the first derivative of 2*f**4/5 + 12*f**3/5 + 6*f**2/5 - 16*f/5 + 251. Factor j(x).
4*(x + 1)*(x + 4)*(2*x - 1)/5
Let o(s) = -11*s**2 - 6*s - 4. Let v(j) = 10*j**2 + 4*j + 4. Let d(c) = -6*o(c) - 7*v(c). Solve d(x) = 0.
1
Let 381/5*t + 27/5*t**2 + 42/5 = 0. Calculate t.
-14, -1/9
Factor 0 + 32/5*m**2 + 2/5*m**3 + 6*m.
2*m*(m + 1)*(m + 15)/5
Let b = 2793 - 2788. Factor -8/5 + 8/5*o**2 - 16/5*o**3 + 4/5*o**b + 12/5*o + 0*o**4.
4*(o - 1)**3*(o + 1)*(o + 2)/5
Let u(w) be the first derivative of 2/5*w**5 + 0*w**3 + 1/2*w**4 + 0*w - 4 + 0*w**2. Suppose u(v) = 0. Calculate v.
-1, 0
Let b(j) be the second derivative of -j**4/30 - 16*j**3/15 + 49*j. Factor b(i).
-2*i*(i + 16)/5
Suppose 11*d**3 + 4*d**2 + 5*d**4 + 25*d + 51*d**2 + 24*d**3 = 0. Calculate d.
-5, -1, 0
Let d(r) be the first derivative of -2*r**3/21 + r**2/7 + 24*r/7 - 5. Factor d(q).
-2*(q - 4)*(q + 3)/7
Let r(y) be the third derivative of -y**8/80640 - y**7/10080 - y**6/2880 + 2*y**5/15 - 9*y**2. Let q(h) be the third derivative of r(h). Factor q(k).
-(k + 1)**2/4
Let p(a) be the first derivative of -5*a**4/4 + 10*a**2 - 9. What is o in p(o) = 0?
-2, 0, 2
Let z(q) be the first derivative of -q**6/2 + 9*q**5/5 + 9*q**4/4 - 11*q**3 + 9*q**2 - 159. Let z(p) = 0. Calculate p.
-2, 0, 1, 3
Let y = 98 + -97. Let q be (((-7)/(-10))/y)/((-44)/(-110)). Solve -5/4*w - q*w**2 + 1/2 = 0 for w.
-1, 2/7
Let u(h) be the second derivative of h**7/126 - h**5/20 + h**4/18 - 42*h. Factor u(k).
k**2*(k - 1)**2*(k + 2)/3
Let q = 17 - 15. Factor 6*x**4 - q*x**2 - 2*x**4 - 7*x**3 + 3*x**2 + 11*x**3.
x**2*(2*x + 1)**2
Let m be -3 - (-4 + -16)/4. Find l such that 5*l**m + 4*l - 7*l**2 + 3 - 5 = 0.
1
Let h be (-1512)/3528*14/(-8). Factor h + 1/4*z**2 - z.
(z - 3)*(z - 1)/4
Let v(q) = q**3 + 7*q**2 - 2*q - 18. Let l(c) = -4*c**3 - 29*c**2 + 7*c + 71. Let n(s) = -4*l(s) - 18*v(s). Find a such that n(a) = 0.
-5, -2, 2
Let u be 3/(-6 + (-65)/(-10)). Let d(x) be the third derivative of -1/480*x**u + 0*x - 1/32*x**4 + 0 + 2*x**2 - 1/80*x**5 - 1/24*x**3. Factor d(b).
-(b + 1)**3/4
Let r(k) = -k**2 + 2*k + 38. Let b be r(-6). Let g be (-5)/(-2) + 5/b. Find u such that -6/7*u**g - 6/7*u**3 + 0 - 2/7*u - 2/7*u**4 = 0.
-1, 0
Suppose 2/11*l**2 + 30*l + 0 = 0. What is l?
-165, 0
Let m(s) be the third derivative of s**8/140 - 8*s**7/525 - 13*s**6/150 + 6*s**5/25 + 2*s**4/15 - 16*s**3/15 + 2*s**2 - 10*s. Solve m(d) = 0.
-2, -2/3, 1, 2
Suppose 9*s - 4*s - 20 = -3*f, 3*s = 4*f + 41. Solve -30*q - 2*q**2 + 35*q + s*q**2 = 0.
-1, 0
Let t(o) be the third derivative of o**7/525 + 3*o**6/100 + 4*o**5/75 + o**2 - 9. Factor t(g).
2*g**2*(g + 1)*(g + 8)/5
Suppose -285/7*i**3 - 3/7*i**5 + 330/7*i**2 + 54/7*i**4 - 384/7 + 288/7*i = 0. What is i?
-1, 1, 2, 8
Let j(r) be the first derivative of 9*r**5/10 + 15*r**4/4 - 27*r**3/2 - 15*r**2/2 - 7. Let j(i) = 0. What is i?
-5, -1/3, 0, 2
Let v(j) be the second derivative of j**6/2 + 57*j**5/20 - 5*j**4/4 - 19*j**3/2 - 20*j + 2. Let v(y) = 0. Calculate y.
-19/5, -1, 0, 1
Let v(c) be the first derivative of -3*c**5/5 + 9*c**4/2 - 9*c**3 + 6*c**2 + 41. Factor v(w).
-3*w*(w - 4)*(w - 1)**2
Let s(h) be the first derivative of -h**5/10 + 6*h**4 + 151*h**3/6 + 51*h**2/2 - 50. Suppose s(b) = 0. What is b?
-2, -1, 0, 51
Let v(h) be the second derivative of h**4/4 + 8*h**3 + 45*h**2/2 - h - 16. Factor v(d).
3*(d + 1)*(d + 15)
Let d(k) be the first derivative of k**6/6 - k**5/10 - k**4/8 - 147. Factor d(a).
a**3*(a - 1)*(2*a + 1)/2
Let u(x) be the first derivative of 0*x - 16/3*x**2 - 8/9*x**3 + 52 + 1/3*x**4. Factor u(k).
4*k*(k - 4)*(k + 2)/3
Find o, given that 27/4*o**3 - 33/2*o**2 - 3/4*o**4 + 24 + 0*o = 0.
-1, 2, 4
Suppose 0*h + 2*h = 188. Let f = h + -57. Find w, given that -15*w**3 - f*w**4 - 10 + 5*w**2 - w + 16*w + 42*w**4 = 0.
-1, 1, 2
Factor -3*z**3 - 1/4*z**4 - 5/2*z - 21/4*z**2 + 0.
-z*(z + 1)**2*(z + 10)/4
Let u(t) = -t**2 + 10*t + 3. Let d be u(10). Let x(i) be the third derivative of 0 - 1/60*i**6 + 0*i - 3/16*i**4 - 1/6*i**3 - 1/10*i**5 - d*i**2. Factor x(z).
-(z + 2)*(2*z + 1)**2/2
Let i(f) be the first derivative of 0*f - 7 + 1/11*f**2 + 2/33*f**3. Determine m, given that i(m) = 0.
-1, 0
Let o(m) be the second derivative of -m**7/6 - 3*m**6/10 + 41*m**5/10 + 2*m**4 - 105*m. Let o(x) = 0. What is x?
-4, -2/7, 0, 3
Let a(t) = t**3 + 7*t**2 + t + 10. Let y be a(-7). Suppose -y*z + 10 = r, -22 - 4 = -5*z - 4*r. Factor 6 + 2*p - p - 4*p - z*p**2 - p**2.
-3*(p - 1)*(p + 2)
Let v(g) be the third derivative of 1/30*g**6 + 2/105*g**7 + 0*g + 0*g**3 - 1/6*g**4 - 4*g**2 - 1/15*g**5 + 0. Factor v(d).
4*d*(d - 1)*(d + 1)**