given that p(x) = 0.
0, 1/8, 3, 8
Let v(d) be the second derivative of -d**7/399 - 2*d**6/285 + 1023*d. Factor v(g).
-2*g**4*(g + 2)/19
Let c be 4/(-14) + (-406)/(-147)*3. Let u be c - (0/5 - -4). Factor 9 - 30*d - 10*d**2 - 5*d**u - 20*d**4 + 26*d**2 + 30*d**3.
-(d - 1)*(d + 1)*(5*d - 3)**2
Let u be (-5)/2*87552/(-23940). Find h such that -768/7*h**3 - u*h - 416/7*h**2 - 2/7 = 0.
-1/4, -1/24
Suppose -91 = -16*c + 5. Let d be c/(-5) - (-540)/200. What is s in 3*s**2 + 3*s**3 - 3/2*s**5 - 3/2*s - d - 3/2*s**4 = 0?
-1, 1
Let v(l) be the first derivative of -l**5 + 165*l**4/4 - 560*l**3 + 2450*l**2 - 2587. Solve v(c) = 0 for c.
0, 5, 14
Let x(l) be the first derivative of l**4/2 - 458*l**3/3 - 461*l**2 - 462*l - 3244. Factor x(b).
2*(b - 231)*(b + 1)**2
Let o(v) be the third derivative of -98*v**2 + 0*v + 0*v**3 + 1/3*v**4 + 0 - 1/15*v**5. Factor o(i).
-4*i*(i - 2)
Let s(u) be the third derivative of -u**6/18 + 23*u**5/10 + 7*u**4/3 - 36*u**3 + 91*u**2. Let w(v) be the first derivative of s(v). Factor w(i).
-4*(i - 14)*(5*i + 1)
Let r(q) be the third derivative of -q**5/40 - 15*q**4/16 - 25*q**3/2 - 6*q**2 + 51*q. Solve r(j) = 0 for j.
-10, -5
Let z(h) be the first derivative of -3*h**4/4 + 46*h**3 - 2091*h**2/2 + 10404*h - 160. What is c in z(c) = 0?
12, 17
Solve 8/5*l - 552/5*l**2 + 736/5 - 38*l**3 - 2/5*l**4 = 0 for l.
-92, -2, 1
Let y(o) be the first derivative of -3*o**4/16 + 41*o**3/12 - 29*o**2/2 + 15*o + 7551. Factor y(m).
-(m - 10)*(m - 3)*(3*m - 2)/4
Let s(a) be the second derivative of 2*a**7/105 - 13*a**6/75 + 27*a**5/50 - 17*a**4/30 - a**3/3 + 6*a**2/5 + 19*a + 1. Find o such that s(o) = 0.
-1/2, 1, 2, 3
Let b(g) be the first derivative of g**4/54 - 2*g**3/9 - 3*g**2 + 20*g - 6. Let r(s) be the first derivative of b(s). Factor r(h).
2*(h - 9)*(h + 3)/9
Let i(a) be the second derivative of -a**6/90 + 101*a**5/20 - 2567*a**4/4 + 22801*a**3/18 + 218*a + 1. Let i(t) = 0. Calculate t.
0, 1, 151
Suppose 51/7*d**4 + 72/7 + 345/7*d**2 + 258/7*d + 207/7*d**3 + 3/7*d**5 = 0. What is d?
-12, -2, -1
What is v in 1/2*v**3 + 0 - 8*v + 3*v**2 = 0?
-8, 0, 2
Let x be (8 + (-88)/16)*(5 - (0 + 4)). Factor -x*p + 3/2 + 1/4*p**3 + 7/8*p**2 - 1/8*p**4.
-(p - 2)**2*(p - 1)*(p + 3)/8
Let u be (((-28)/(-126))/(4 + 70/(-15)))/((-21)/18). Find f such that 2/7 + u*f**3 + 6/7*f + 6/7*f**2 = 0.
-1
Let u(y) = -y**2 - 1. Let m(z) = -3*z**2 - 2. Let a(k) = 10*k + 9. Let g be a(4). Let s = 44 - g. Let l(t) = s*u(t) + 2*m(t). Find b, given that l(b) = 0.
-1, 1
Let w = -11929 - -11932. Let b(p) be the third derivative of 1/40*p**6 + 11/15*p**5 + 0*p + 49/3*p**w + 7*p**2 + 0 + 175/24*p**4. Solve b(f) = 0 for f.
-7, -2/3
Let f(k) be the first derivative of 0*k + 1/2*k**5 + 0*k**2 + 5/12*k**4 + 0*k**3 + 131 + 5/36*k**6. Factor f(v).
5*v**3*(v + 1)*(v + 2)/6
Let y(x) = -5*x**3 - x**2 - 2*x + 6. Let i = -111 + 112. Let g(r) = -r**3 + r**2 - r - 1. Let j(z) = i*y(z) - 6*g(z). Factor j(f).
(f - 6)*(f - 2)*(f + 1)
Find x such that 32 + 6*x**4 - x**5 - 65*x + x + 20*x**3 + 16*x**2 - 5*x**4 - 63 - 49 = 0.
-2, 2, 5
Let i = -4896 + 4902. Let n(q) be the third derivative of 0 + 0*q + 1/1260*q**7 - 9*q**2 + 1/360*q**i - 1/72*q**4 - 1/36*q**3 + 0*q**5. Factor n(a).
(a - 1)*(a + 1)**3/6
Let i = 623 - 574. Let t be 1/(i/42)*63/33. Suppose -12/11*x**3 + t*x**2 + 0*x + 2/11*x**4 + 0 = 0. Calculate x.
0, 3
Let f be 1 + 2 - 2/(-2). Suppose -12 = -f*a - 4. Let 4 - 6*u**2 + 14*u**2 + a*u - 9*u**2 - 5*u = 0. What is u?
-4, 1
Let g(c) be the second derivative of 3*c**6/20 - 41*c**5/16 + 111*c**4/8 - 65*c**3/2 + 31*c**2 - 336*c. What is n in g(n) = 0?
1/2, 2, 62/9
Suppose -129*g = 240 - 215 - 412. Factor 1/3*l**g - 2*l - 8/3 + l**2.
(l - 2)*(l + 1)*(l + 4)/3
Let a be (3 - 3)*7/14. Let w(l) be the third derivative of 0*l**3 + 1/80*l**6 + 0*l + a + 1/4*l**4 - 1/10*l**5 + 12*l**2. Find f, given that w(f) = 0.
0, 2
Suppose 101*c + 34*c - 7*c = 0. Let i(u) be the second derivative of 0*u**2 + 0 + 1/140*u**5 + c*u**3 + 1/84*u**4 + 10*u. Solve i(b) = 0.
-1, 0
Suppose -291 = -31*x + 3181. Let m be 622/275 + x/(-1400). Determine a, given that -8/11*a**2 - 18/11 - m*a = 0.
-3/2
Let y = 1304 + -1160. Suppose -53*j + y = -5*j. Suppose 0 - 2/3*m**j - 16/9*m**2 + 4/9*m**4 - 8/9*m + 2/9*m**5 = 0. What is m?
-2, -1, 0, 2
Let p(b) be the first derivative of -4*b**3/3 - 7068*b**2 - 14132*b + 2641. Factor p(n).
-4*(n + 1)*(n + 3533)
Let t = 3215 - 3212. Let h(a) be the first derivative of 2/3*a**2 - 1/3*a**4 + 2/3*a + 0*a**t - 12 - 2/15*a**5. What is u in h(u) = 0?
-1, 1
Let v(l) be the third derivative of 0*l - 4/5*l**5 - l**3 + 6 - 7/40*l**6 - 3*l**2 - 11/8*l**4. Factor v(y).
-3*(y + 1)**2*(7*y + 2)
Let l(w) be the third derivative of -w**6/24 - w**5/2 + 5*w**4/24 + 25*w**3 + 1033*w**2. Let l(a) = 0. Calculate a.
-5, -3, 2
Let j(t) = -544*t**3 + 1284*t**2 - 390*t - 178. Let x(k) = -2719*k**3 + 6419*k**2 - 1949*k - 983. Let a(d) = -11*j(d) + 2*x(d). Factor a(h).
2*(h - 2)*(3*h - 1)*(91*h - 2)
Let q(y) be the third derivative of y**5/150 + 47*y**4/2 + 33135*y**3 - 4*y**2 + 595. What is c in q(c) = 0?
-705
Let m(x) = 5*x**3 - 8699*x**2 - 17402*x - 8709. Let q(c) = -6*c**3 + 10874*c**2 + 21752*c + 10886. Let z(b) = 14*m(b) + 11*q(b). Solve z(g) = 0 for g.
-1, 545
Let 900 - 1095/7*o**3 + 5520/7*o + 3/7*o**5 - 1773/7*o**2 - 99/7*o**4 = 0. Calculate o.
-5, -1, 2, 42
Let s(p) be the first derivative of 0*p + 12/5*p**5 - 3/4*p**4 - 1/2*p**6 + 257 + 0*p**2 - 6*p**3. What is m in s(m) = 0?
-1, 0, 2, 3
Suppose -5*v = -3*f + 46, 16026*f + 5*v = 16025*f - 38. Suppose -1/4*k**f - 3 - 2*k = 0. What is k?
-6, -2
Let v(u) be the second derivative of -u**6/150 - 69*u**5/25 - 1587*u**4/5 + 1097*u. Determine n, given that v(n) = 0.
-138, 0
Let b be (-1)/(-3) + (-1007)/(-57). Let h = b - 14. Suppose -3*y**5 - h*y**2 + y + 4*y**4 - 6*y**3 + 3*y**5 - 3*y**5 + 8*y**3 = 0. What is y?
-1, 0, 1/3, 1
Let u(j) = 18*j**2 - 740*j - 69930. Let q(d) = 5*d**2 + 2*d + 2. Let f(z) = 4*q(z) - u(z). Determine y, given that f(y) = 0.
-187
Suppose 9 = s + n, -2*n = -19 + 7. Let a(p) be the third derivative of 1/24*p**4 + 0*p - 19*p**2 + 1/180*p**5 + 1/9*p**s + 0. Factor a(l).
(l + 1)*(l + 2)/3
Let c = 46 + -20. Factor -11*h**4 + 10*h**2 + 48*h**3 + c*h**4 + 21*h**4 + 6*h**2.
4*h**2*(3*h + 2)**2
Factor 2/11*k**2 - 630/11 + 628/11*k.
2*(k - 1)*(k + 315)/11
What is y in -252*y**3 - 54*y**4 + 2*y**5 - 5120 + 161*y**3 + 6144*y + 334*y**3 - 2704*y**2 + 313*y**3 = 0?
2, 4, 5, 8
Let s be 9045/21 + -1 + 9/7. Factor 373*o + 36*o**2 - 128*o - 152 + s*o.
4*(o + 19)*(9*o - 2)
Let p be (-64)/6*27/(-12). Let n be (5/(7 + -22))/((-4)/p). Find y such that 0*y + y**4 - 1/3*y**5 + 0*y**3 + 0 - 4/3*y**n = 0.
-1, 0, 2
Suppose 296*v - 137 = -156*v + 1768 + 355. Factor -1/3*p + 1/6*p**3 + 1/2*p**2 + 1/6*p**v + 0 - 1/2*p**4.
p*(p - 2)*(p - 1)**2*(p + 1)/6
Let c(w) be the third derivative of -w**8/56 - 1181*w**7/315 + 463*w**6/90 + 44*w**5/15 - w**2 + 3*w - 76. Determine s so that c(s) = 0.
-132, -2/9, 0, 1
Let p(r) = -5*r**3 - 20*r**2 - 65*r. Let q(h) be the first derivative of -h**3/3 - h**2 + 51. Let v(y) = p(y) - 30*q(y). Let v(c) = 0. What is c?
0, 1
Suppose -2*n = 0, 42 = 10*h - 7*h + 4*n. Let a be (-1*h/49)/((-3)/42). Factor 2/9*x**2 + 0 - 2/9*x**5 + 0*x + 2/3*x**a - 2/3*x**3.
-2*x**2*(x - 1)**3/9
Suppose 0 = 18*r - 2*r - 48. Suppose 71*o = 142*o. Factor -2/3*k**r + 0*k + o - 1/6*k**2.
-k**2*(4*k + 1)/6
Let p(r) be the third derivative of r**8/84 - 22*r**7/35 - 23*r**6/10 - 7*r**5/3 + 3802*r**2. Factor p(u).
4*u**2*(u - 35)*(u + 1)**2
Determine l, given that 14*l**3 + 14*l**3 + 90*l**2 - 5*l**4 - 40*l**3 + 27*l**3 = 0.
-3, 0, 6
Let r = -695 + 805. Let k = r + -110. Solve 0 - 8/3*w**3 + 4/3*w**2 + 4/3*w**4 + k*w = 0.
0, 1
Let w(f) be the second derivative of -f**5/20 - 5*f**4/12 + 11*f**3 - 4*f + 17. Factor w(p).
-p*(p - 6)*(p + 11)
Let v(w) = 31*w**4 - 7*w**3 - 88*w**2 + 64*w + 63. Let m(h) = -61*h**4 + 13*h**3 + 176*h**2 - 128*h - 105. Let p(o) = -3*m(o) - 5*v(o). Let p(k) = 0. What is k?
-2, 0, 1, 8/7
Let l(d) be the second derivative of d**4/18 + 845*d**3/9 + 844*d**2/3 - 177*d - 2. Factor l(n).
2*(n + 1)*(n + 844)/3
Let y(q) be the second derivative of -3*q**5/20 + q**4/2 + 55*q**3/2 - 300*q**2 - q + 8631. Suppose y(r) = 0. What is r?
-8, 5
Let r(x) = 58*x - 5