- 126. Let n be z(-22). Solve -46*j - 4*j**2 - j**3 + 3*j**2 - 2*j**3 + 21*j**2 + j**3 + n = 0.
1, 2, 7
Let a be ((-2)/160)/((-52)/2470). Let m = -79/160 + a. Factor 1/10 - 1/5*q + m*q**2.
(q - 1)**2/10
Factor -2*w**3 - 138*w + 270 + 42*w**2 + 64*w - 124*w.
-2*(w - 15)*(w - 3)**2
Let -6*m**3 - 4/3*m**2 + 0 + 0*m + 10/3*m**4 = 0. What is m?
-1/5, 0, 2
Let p(s) = s**3 - s**2 - 2*s. Let b(g) = -2*g**3 - 13*g**2 - 65*g - 54. Let c(i) = b(i) + 5*p(i). Factor c(h).
3*(h - 9)*(h + 1)*(h + 2)
Let k(z) = -z**3 - 2*z**2 + 15*z. Let u be k(-5). Suppose 6*j + 2*j - 2*j = u. Factor -36/5*m**3 + 2*m**4 + 16/5*m + j + 24/5*m**2.
2*m*(m - 2)**2*(5*m + 2)/5
Let t(y) be the second derivative of 0*y**2 - 2/3*y**3 + 0*y**4 + 6*y - 1/30*y**6 + 3/20*y**5 + 17. Find k such that t(k) = 0.
-1, 0, 2
Let t(x) be the first derivative of 20 - 1/360*x**5 + 5/72*x**4 + 8*x**2 - 1/720*x**6 - 2/9*x**3 + 0*x. Let f(d) be the second derivative of t(d). Factor f(s).
-(s - 2)*(s - 1)*(s + 4)/6
Let p = 176 + -174. Find q, given that -116*q**2 + 7*q**3 + 578 - 86*q**2 + 1955*q + 0*q**p - 34*q**2 = 0.
-2/7, 17
Suppose -2*j + i = -4, 0 = 3*j + 3*i - 5*i - 6. Let 10*o**2 + 733*o + 12 - 741*o - 14*o**j = 0. What is o?
-3, 1
Factor 33/2 - 1/4*v**2 + 19/4*v.
-(v - 22)*(v + 3)/4
Let r(u) be the third derivative of -u**5/60 - u**4/24 + 111*u**2. Let n(g) = 4*g**2 + 10*g + 6. Let q(l) = n(l) + 5*r(l). Determine w so that q(w) = 0.
-1, 6
Factor -193573*j**2 + 532*j**3 + 194653*j**2 + 34*j - 2*j.
4*j*(j + 2)*(133*j + 4)
Let d(k) be the third derivative of -k**4/6 + k**3 - 15*k**2. Let p be d(1). Factor -2*u - 4 + 2*u**3 + 0*u**3 + 0 - 14*u**p + 18*u**2.
2*(u - 1)*(u + 1)*(u + 2)
Solve 6304/9*b + 4186/3*b**2 + 1112/3*b**3 - 14/9*b**4 - 968/3 = 0 for b.
-3, -1, 2/7, 242
Let x(g) be the second derivative of -g**5/10 - 139*g**4/6 - 1760*g**3 - 30492*g**2 - 2*g - 467. What is s in x(s) = 0?
-66, -7
Let m(z) be the second derivative of -59*z**5/25 + 116*z**4/15 - 22*z**3/3 - 4*z**2/5 - 4127*z. What is y in m(y) = 0?
-2/59, 1
Let k(a) = 2*a**2 + 4*a - 5. Let v(x) = x**2 + 2*x - 3. Let s be 1/(((-1)/(-1))/(-21)). Let g be (-50)/(-8) - s/(-84). Let j(z) = g*k(z) - 10*v(z). Factor j(l).
2*l*(l + 2)
Factor 90 - 9/2*n - 1/4*n**2.
-(n - 12)*(n + 30)/4
Suppose -y - 173 = -5*a + 201, 5*a - 5*y - 370 = 0. Let o = a - 149/2. Factor -h + 0 + o*h**2 + 2*h**3 - 3/2*h**4.
-h*(h - 1)**2*(3*h + 2)/2
Suppose -33*c - 2844 - 2568 = 0. Let z = 168 + c. Suppose 0 + 0*a**3 + 0*a**2 - 1/7*a**z + 0*a = 0. What is a?
0
Suppose 2/3*w**3 - 80/3*w**2 - 178*w - 276 = 0. What is w?
-3, 46
Let l be (0 - (-251)/4) + (-9)/12. Factor -45 + 4*x**3 - 44 + 86*x - 51 + 112 - l*x**2.
2*(x - 14)*(x - 1)*(2*x - 1)
Factor -y**4 + 147*y + 54*y - 2*y**4 + 51*y**3 - 78 - 77*y**2 - 94*y**2.
-3*(y - 13)*(y - 2)*(y - 1)**2
Suppose 0 = -41*a + 23*a + 72. Find d such that -2*d**2 - 88*d**4 + 4*d**2 + 86*d**a + 2*d**5 - 2*d**3 = 0.
-1, 0, 1
Let b(v) be the second derivative of 8/9*v**3 + 0 + 232*v + 1/36*v**4 + 0*v**2. Find x, given that b(x) = 0.
-16, 0
Suppose -3*t + 5*q = -62, 30*q = 6*t + 28*q - 44. Solve 12*v - 3/2*v**5 + 6*v**2 + 0 - 9*v**3 - 15/2*v**t = 0.
-2, 0, 1
Suppose -2*u + m + 545 = 46, 15 = -5*m. Suppose -381 = -3*b + 3*x, -2*b + 3*x = 4*x - u. Factor -120*c**2 + 125*c**3 - 50*c - 5*c**4 - 46*c**3 + b - 29*c**3.
-5*(c - 5)**2*(c - 1)*(c + 1)
Suppose 70*h + 352 = 59082. Let t = h - 4186/5. Let -t + 6/5*b + 3/5*b**2 = 0. Calculate b.
-3, 1
Let t(c) be the second derivative of 1/6*c**4 + 0 - 1/90*c**5 + 0*c**3 - 22*c + 0*c**2. Determine m so that t(m) = 0.
0, 9
Let s(w) be the third derivative of 0*w + 24 + 1/90*w**5 - 2*w**2 - 2/9*w**4 + 1/180*w**6 - 4/3*w**3. Determine u so that s(u) = 0.
-2, 3
Let l(h) = -4*h - 2*h - 5*h + h + 8*h**3 - 9*h**2. Let i(v) = -7*v**3 + 8*v**2 + 9*v. Let s(c) = -7*i(c) - 6*l(c). Suppose s(m) = 0. What is m?
-1, 0, 3
Suppose 17 + 15 = 4*x + 32. Let d(s) be the first derivative of 1 + 2/9*s**3 + x*s + 2/3*s**2. Factor d(y).
2*y*(y + 2)/3
Determine c, given that -31/9 + 1/9*c**2 - 10/3*c = 0.
-1, 31
Let i(x) be the first derivative of -x**6/72 - 7*x**5/12 - 5*x**4 + 55*x**3/3 + 113. Let a(z) be the third derivative of i(z). Factor a(s).
-5*(s + 2)*(s + 12)
Factor 747*d**3 - 2230*d**3 + 740*d**3 - 48*d**2 + 746*d**3 - 108*d.
3*d*(d - 18)*(d + 2)
Let g be 18 + 1320/(-216) + 3/3 + -8. Let x be 574/90 + (-12)/20. Find n such that 4/3*n**4 - 8/3 + g*n**2 - 20/9*n + x*n**3 = 0.
-3, -1, 2/3
Suppose 83*c + 25*c + 34*c - 284 = 0. Let y(f) be the third derivative of -1/330*f**5 + 0 - 1/44*f**4 + 24*f**c - 2/33*f**3 + 0*f. Solve y(l) = 0.
-2, -1
Let v be 3/(-2) - 33/(-22). What is j in 0 + v*j + 45/2*j**2 + 3/2*j**3 = 0?
-15, 0
Factor 11800*i**2 - 18612*i + 28867212 + 11788*i**2 - 23585*i**2.
3*(i - 3102)**2
Let r(a) be the first derivative of 4*a**5/25 - 27*a**4/5 + 16*a**3/3 + 312*a**2/5 - 314. Factor r(z).
4*z*(z - 26)*(z - 3)*(z + 2)/5
Let i be (4/20)/(134/45 - 80/(-360)). Let a(t) be the second derivative of -1/80*t**5 + 0 + 0*t**2 - i*t**4 + 23*t - 1/12*t**3. Factor a(c).
-c*(c + 1)*(c + 2)/4
Let s = -1800 + 19816/11. Let t be 6/21 - 32/308. Factor -t*n**3 + 12/11*n**2 + s - 24/11*n.
-2*(n - 2)**3/11
Let h(s) be the first derivative of -s**6/90 + s**5/20 + s**4/36 - s**3/6 - 9*s + 13. Let g(w) be the first derivative of h(w). Let g(b) = 0. Calculate b.
-1, 0, 1, 3
Let h(n) be the second derivative of -67*n**6/150 + 34*n**5/25 - 71*n**4/60 + n**3/15 - 2301*n. Factor h(c).
-c*(c - 1)**2*(67*c - 2)/5
Let x(l) be the second derivative of 19*l**4/12 - 63*l**3 - 20*l**2 - 413*l. Determine t so that x(t) = 0.
-2/19, 20
Let a(r) be the first derivative of 39 - 3*r**2 + r**3 - 5838*r + 5838*r. Factor a(c).
3*c*(c - 2)
Let l(n) be the second derivative of -n**6/3 + 34*n**5/5 + 283*n**4/6 + 34*n**3 - 9*n - 234. Find g, given that l(g) = 0.
-3, -2/5, 0, 17
Factor 26*d**2 - 72/5 - 11/5*d**3 - 372/5*d.
-(d - 6)**2*(11*d + 2)/5
Let q(t) be the second derivative of 529*t**6/15 + 14766*t**5/5 + 204794*t**4/3 - 23968*t**3 + 3136*t**2 - 2820*t. Factor q(m).
2*(m + 28)**2*(23*m - 2)**2
Let r be 0 - (11 + (-10 - 30)). Suppose -r = -4*j - u - 17, -3 = -j + u. Solve -9/4*i**2 + 9/4*i**j + 3/4*i - 3/4*i**4 + 0 = 0.
0, 1
Suppose 143 = 18*n + 71. Factor 11*s**4 + 4 + 2*s**4 - 14*s**n + 9*s**2 - 11*s - s**3.
-(s - 1)**3*(s + 4)
Let j = 433 - 437. Let h be 8/(6 + j) - (-25)/(-10). What is b in -1/2 - b**2 + 1/2*b**5 + b**3 + h*b**4 - 3/2*b = 0?
-1, 1
Let j(k) be the first derivative of -k**4/2 + 62*k**3/3 - 86*k**2 + 112*k + 80. Factor j(a).
-2*(a - 28)*(a - 2)*(a - 1)
Let t = -2397 - -38361/16. Let s(n) be the second derivative of 9/20*n**5 - t*n**4 + 1/4*n**3 - 1/8*n**6 + 0*n**2 + 0 + 3*n. Determine p, given that s(p) = 0.
0, 2/5, 1
Determine o so that -128 + 100*o + 15*o**3 + 29*o**3 + 2*o**4 - 24*o**3 - 122 + 120*o**2 + 8*o**3 = 0.
-5, 1
Suppose -19*k + 31*k = 336. Solve -k - 7*c**3 + 432*c**2 + 0*c**3 + 2*c**3 - 419*c**2 + 8*c = 0.
-7/5, 2
Determine i so that 0 + 41/9*i**4 + 1355/9*i**2 + 131/3*i**3 + 1450/9*i + 1/9*i**5 = 0.
-29, -5, -2, 0
Determine u, given that -56 - 1/4*u**3 - 19/4*u**2 - 29*u = 0.
-8, -7, -4
Let k = -137 + 141. Factor -4*f**2 - 81*f**4 + 0*f**3 + 82*f**4 - 2*f**3 + k*f**3 - 8*f.
f*(f - 2)*(f + 2)**2
Suppose 55 = 22*l - 11*l. Find r such that 17*r**2 + 4*r**2 + l*r**3 - 32*r**3 + 75*r**2 - 8*r**4 + 9*r**4 - 92*r = 0.
0, 2, 23
Solve -214/9*b**2 + 2/9*b**4 - 64 - 212/3*b - 16/9*b**3 = 0.
-3, -2, 16
Let m(k) be the third derivative of -k**5/210 + 74*k**4/21 - 1426*k**2. Factor m(d).
-2*d*(d - 296)/7
Let w(o) = o**3 + 4*o**2 - 13*o - 37. Let l be w(-5). Let z(p) be the first derivative of -9/5*p**5 - 2 + p + 8/3*p**3 + l*p**2 - 3/2*p**4. Factor z(v).
-(v - 1)*(v + 1)*(3*v + 1)**2
Suppose -10*s = 25*s + 4*s - 195. Let u(o) be the second derivative of -2/5*o**2 + 1/5*o**3 - 3/50*o**s + 1/15*o**4 - 18*o + 0. Determine c so that u(c) = 0.
-1, 2/3, 1
Let h be (684/399)/6*(-7)/(-6). Factor 4*m + h*m**2 + 0.
m*(m + 12)/3
Let v be (-8)/(-216)*-537 + 20. Let n(j) be the first derivative of 16/15*j**5 - 4*j**3 - 27*j**2 - 36*j + v*j**6 - 33 + 8/3*j**4. Factor n(m).
2*(m - 2)*(m + 1)*(m + 3)**3/3
Let z(n) be the third derivative of 1/15*n**6 + 0*n**3 + 1/5*n**5 + 12*n**2 + 3 + 0*n**4 - 2/105*n**7 + 0*n. What is y in z(y) = 0?
