or g(j).
4*j*(j + 4)
Suppose 0 = 2*x - 3*x - 3*j - 1, x - j - 3 = 0. Suppose x*n - f - 5 = 0, 3*n = 5*f + 7 - 3. Factor a**5 - 3*a**n - 2*a**3 - a**2 + 3*a**2 + 2*a**3.
a**2*(a - 1)**2*(a + 2)
Let n(x) be the second derivative of 3*x**5/20 + 125*x**4/4 + 2296*x**3 + 61152*x**2 - 5760*x. Factor n(m).
3*(m + 13)*(m + 56)**2
Let t = 963 - 964. Let q(h) = 2*h**2 + h + 2. Let a(g) = -67*g**2 + 134*g - 72. Let y(x) = t*a(x) - 6*q(x). Let y(k) = 0. What is k?
6/11, 2
Let w be 4/6*(-1 - (-457 + -6)). Determine h, given that -69*h - 167 + w - 30*h**2 - 3*h**3 - 183 = 0.
-7, -2, -1
Let c = 2737/731100 - 1/2437. Let l(f) be the third derivative of 0*f**3 - c*f**6 - 12*f**2 + 1/30*f**4 - 1/150*f**5 + 0 + 0*f. Factor l(j).
-2*j*(j - 1)*(j + 2)/5
Let j(l) = -6*l + 56. Let k be j(0). Suppose 6*z = 4*z + k. Factor -4*v**3 - 2173*v - z*v**2 - 32 + 0*v**3 + 2117*v.
-4*(v + 1)*(v + 2)*(v + 4)
Determine u so that 144/13*u + 0 + 76/13*u**2 + 2/13*u**3 = 0.
-36, -2, 0
Suppose -3*s - 74 + 14 = 0. Let f(x) = -7*x**3 - 7*x + 7*x + 5*x**3 + 105*x**2 - 33*x**3. Let k(l) = -5*l**3 + 15*l**2. Let n(c) = s*k(c) + 3*f(c). Factor n(q).
-5*q**2*(q - 3)
Suppose -418403/6*t - 715822/3 - 1/6*t**4 - 217/6*t**3 - 5325/2*t**2 = 0. Calculate t.
-71, -4
Factor 1728/5 - 3/5*d**2 + 108/5*d.
-3*(d - 48)*(d + 12)/5
Suppose -2172/7*i**3 - 1922/7*i + 0 + 3968/7*i**2 - 2/7*i**5 + 128/7*i**4 = 0. What is i?
0, 1, 31
Let t be (28/14)/(-2 - 16/(-6)). Suppose 4*x + 47 = 3*r - 77, 3*r + t*x - 159 = 0. Factor 2*a + a**4 + r*a**2 - 29*a**2 - 2*a**3 - 20*a**2.
a*(a - 2)*(a - 1)*(a + 1)
Let w(u) = 894*u**2 + 480*u + 70. Let r(l) = 1789*l**2 + 960*l + 139. Let z = 152 + -163. Let p(n) = z*w(n) + 6*r(n). Determine t, given that p(t) = 0.
-4/15
Suppose 0 = 115*d - 117*d - 4*s - 28, 20*d + 3*s - 16 = 0. Find h such that 0 + 0*h + 1/3*h**d = 0.
0
Let l be 2*-1 + (27/6)/(1176/532). Let s(o) be the first derivative of -l*o**4 - 5 + 3/7*o**3 + 0*o + 0*o**2. Determine m so that s(m) = 0.
0, 9
Let q(d) be the first derivative of -49*d**3/2 + 516*d**2 - 42*d - 43. Determine f so that q(f) = 0.
2/49, 14
Let o(b) = -19*b + 15. Let w(x) = 58*x - 46. Let u(k) = 11*o(k) + 4*w(k). Let h be u(1). Suppose 3/2*m + 3/2*m**5 + 6*m**2 + 6*m**h + 9*m**3 + 0 = 0. What is m?
-1, 0
Suppose -5*z = -0*z - 2*t - 23, -18 = -3*z - 3*t. Find b, given that b**2 + 5*b + 11*b**2 - 10*b**4 - 5*b**z - 2*b**2 = 0.
-1, 0, 1
Let i(b) be the second derivative of -b**5/20 - b**4/2 + 5*b**3/2 - 3*b**2 + 6*b. Let a be i(-8). Let -22*o - 1 + 12*o + 13*o + 6*o**a - 2 = 0. What is o?
-1, 1/2
Factor -244 - 2192/9*m + 4/9*m**2.
4*(m - 549)*(m + 1)/9
Factor -4/5*m**2 - 1016*m + 0.
-4*m*(m + 1270)/5
Let n(i) = -2*i**2 + 59*i + 56. Let m be n(29). Suppose 28*g**4 + 76*g**3 + m*g**3 - 3*g**5 - 4*g**2 - 210*g**3 + 28*g = 0. What is g?
-2/3, 0, 1, 2, 7
Let m(y) = 2*y**3 + 11*y**2 + 30*y + 32. Let z(p) = -16 - 16*p - p**3 - 8*p**2 + 6*p**2 + p**2 - 5*p**2. Let k(j) = 4*m(j) + 10*z(j). Factor k(o).
-2*(o + 2)**2*(o + 4)
Find l such that 47*l**2 + 36*l + l**4 + 37*l - 50*l + 25*l**3 = 0.
-23, -1, 0
Determine l, given that -13/2*l**4 + 0 + 97/2*l**2 + 1/2*l**5 + 27/2*l**3 + 28*l = 0.
-1, 0, 7, 8
Let w(i) = 3 + 50*i + 18 + 65*i**2 + 35*i**3 - 1 + 15*i**4 - 5*i**4. Let n(q) = 9*q**4 + 34*q**3 + 64*q**2 + 50*q + 19. Let m(f) = 5*n(f) - 4*w(f). Factor m(o).
5*(o + 1)**3*(o + 3)
Let k be 284/994*(1/20 + 0). Let i(f) be the second derivative of 0 - 8*f + k*f**6 - 3/14*f**4 - 9/14*f**2 + 4/7*f**3 + 0*f**5. Factor i(s).
3*(s - 1)**3*(s + 3)/7
Let k be ((-6)/(-48) - 1665/3848) + 5896/234. Suppose -62/3*d**2 - 4/9 - 6*d - 8*d**4 - k*d**3 = 0. Calculate d.
-2, -1/2, -1/9
Let j(v) be the second derivative of v**5/20 - 53*v**4/6 + 209*v**3/6 - 52*v**2 + 1261*v. Factor j(t).
(t - 104)*(t - 1)**2
Let x = -12251/7 + 5251/3. Let n(i) be the first derivative of 28 + 24/7*i + 10/7*i**2 + x*i**3. Factor n(k).
4*(k + 2)*(k + 3)/7
Factor 3389*r - 374 + 2771 + 581*r + 7718*r - 273 + 33*r**2.
3*(r + 354)*(11*r + 2)
Determine g, given that -224/5 + 2*g**2 - 272/5*g = 0.
-4/5, 28
Let k(m) = -2. Let d = -271 - -272. Let o(c) = -2*c**2 + 2*c + 12. Let j(b) = d*o(b) + 6*k(b). Factor j(l).
-2*l*(l - 1)
Let g(b) be the second derivative of -15/4*b**2 + 5 + b**3 + 1/8*b**4 - 3*b. Solve g(j) = 0 for j.
-5, 1
Let y = 66 - 14. Let r be (y/(-65))/((-2)/20). Find s, given that r*s**2 - 4*s**3 - 8*s**4 - 5*s**3 + 5*s**3 + 0*s**2 + 4*s = 0.
-1, -1/2, 0, 1
Let y(z) be the second derivative of 190*z + 0*z**2 + 0 + 5/24*z**4 - z**3 - 1/80*z**5. Find k, given that y(k) = 0.
0, 4, 6
Let r(b) = -2. Let z(a) = a**2 - a - 3. Let s(f) = f**3 - 6*f**2 + 3*f - 4. Let t be s(3). Let x = t + 24. Let l(j) = x*z(j) - 3*r(j). Factor l(u).
2*u*(u - 1)
Let i(z) = 14*z**3 - 516*z**2 - 1014*z - 500. Let s(y) = 10*y**3 - 515*y**2 - 1015*y - 502. Let o(q) = 3*i(q) - 4*s(q). What is l in o(l) = 0?
-254, -1
Let o = -16 + 20. Suppose 3*z + w = -1, -3*z + o = -6*z - 4*w. Let 6*l - l + z*l**2 + l**2 - 3*l = 0. Calculate l.
-2, 0
Suppose -5*s = s - s. Let a be -3 + -1 + s - -6. Suppose -46*q**3 + 65*q**3 - 60*q**a - 58*q - 33*q**3 - 12 = 0. What is q?
-3, -1, -2/7
Let y(p) be the third derivative of p**8/112 - 36*p**7/35 + 1857*p**6/40 - 9977*p**5/10 + 19239*p**4/2 - 47916*p**3 + 7667*p**2. Factor y(x).
3*(x - 22)**3*(x - 3)**2
Let g(z) = -z**2 - 45*z - 82. Suppose 0 = -3*m - 4*i + 3*i - 134, 4*i = 2*m + 66. Let j be g(m). Factor 0*n + 1/3*n**3 + 1/3*n**5 + 0 + 0*n**2 + 2/3*n**j.
n**3*(n + 1)**2/3
Let g be (-9 + (-340)/(-35))/((-15)/(-18)). Factor -g + 45/7*y + 12*y**3 - 108/7*y**2.
3*(2*y - 1)**2*(7*y - 2)/7
Suppose 547 + 215 = 127*t. Let v(m) be the third derivative of 0*m**5 + 0*m - 1/100*m**t + 0 + 40*m**2 + 1/350*m**7 + 0*m**3 + 0*m**4. Solve v(j) = 0.
0, 2
Determine p, given that 0 + 564/7*p - 3/7*p**2 = 0.
0, 188
Let m = -4649 - -4652. Let j(b) be the second derivative of 1/6*b**4 + 0*b**2 + 19*b + 1/42*b**7 + 0*b**m + 0 - 3/20*b**5 + 0*b**6. Let j(n) = 0. Calculate n.
-2, 0, 1
Let a be (2/(-2) - (-3 + -2)) + 0. Let v = 14 - 3. Factor 4*j + a*j**2 - j**2 - 3*j + 12 + v*j.
3*(j + 2)**2
Let d(r) = -6*r**2 + 8*r + 6. Let x(s) = -17*s**2 + 25*s + 20. Let q(v) = 22*d(v) - 8*x(v). Determine g, given that q(g) = 0.
-1, 7
Let d = -201 + 209. Solve 0*k**3 - 4*k - 4*k + 4*k**3 + d*k**2 - 4*k = 0 for k.
-3, 0, 1
Let c be 2/4 + 308/56. Let n be 4/(-56) - (-3)/c. Find z, given that n*z**3 - 5/7*z + 8/7*z**2 - 6/7 = 0.
-3, -2/3, 1
Let d = -603 - -608. Let m be (d - (-88)/(-20))/(4/8). Factor 1/5*k - m + 1/5*k**2.
(k - 2)*(k + 3)/5
Suppose -35*l - 43236 = 26624. Let r = l - -1998. Factor 6/17*y**r + 2/17*y**3 + 0*y - 8/17.
2*(y - 1)*(y + 2)**2/17
Let a(g) be the second derivative of -2 + 0*g**2 + 12*g - g**3 + 15/4*g**4 - 21/20*g**5. Factor a(z).
-3*z*(z - 2)*(7*z - 1)
Let u(b) be the second derivative of b**5/5 + 314*b**4/3 + 47360*b**3/3 - 307200*b**2 - 2012*b. Solve u(x) = 0 for x.
-160, 6
Suppose a - 3*z + 24 = z, -5*z - 159 = 4*a. Let c be 2/(-9) - 152/a. What is l in c*l**2 + 4*l - 4*l - 5 + l**2 = 0?
-1, 1
Let w(b) be the third derivative of b**7/42 + 299*b**6/24 + 7299*b**5/4 - 338995*b**4/24 + 114005*b**3/3 + 8*b**2 - 64*b. Factor w(q).
5*(q - 2)*(q - 1)*(q + 151)**2
Let q(g) be the first derivative of 0*g + 1/9*g**3 - g**2 - 202. Factor q(p).
p*(p - 6)/3
Factor 0 + 10/3*u**3 + 11/3*u - 43/6*u**2 + 1/6*u**4.
u*(u - 1)**2*(u + 22)/6
Let c(w) = 103 - 316*w**2 + 631*w**2 + 33*w - 308*w**2. Let f(z) = 4*z**2 + 17*z + 52. Let o(p) = 3*c(p) - 5*f(p). Factor o(h).
(h + 7)**2
Factor -118*s**2 - 386 + 1093*s - 60*s**2 - 12*s**2 - s**3 - 1025*s + 509*s.
-(s - 2)*(s - 1)*(s + 193)
Let o be (-13*(-10)/1040)/(-12 - (-1188)/96). Let v**2 + v + 1/3*v**3 + o = 0. Calculate v.
-1
Let l(k) be the first derivative of k**7/70 + 8*k**2 - 67. Let q(a) be the second derivative of l(a). Factor q(g).
3*g**4
Let p = -230 + 232. Factor -7*g**2 + 5*g**2 - 14 - g**2 - g**3 + 16*g + p.
-(g - 2)*(g - 1)*(g + 6)
Let r(f) be the first derivative of -11*f**5/80 + 17*f**4/96 - f**3/12 + 8*f**2 + 3*f + 23. Let p(d) be the second derivative of r(d). Factor p(i).
-(3*i - 1)*(11*i - 2)/4
Suppose 13*n - 99*n + 158*n = 0. Solve n - 21/4*k**4 + 3*k + 45/4*k**3 + 3/4*k**5 - 39/4*k**2 = 0.
0, 1, 4
Let m(x) = -x**3 - 13*x**2 - 2*x - 22. Let b(o) = 24*o - 613. Le