3*z**3 + 5*z**2 - 5/2*z**4 + 9 + z**5 + 0*z. Factor k(v).
5*v*(v - 2)*(v - 1)*(v + 1)
Let p = -82 - -85. Suppose -5*f - 65 = -6*z + p*z, z - 3*f = 19. Let 170*n**2 - z*n**3 + 10 - 210*n**2 - 20*n**5 + 44*n**4 + 16*n**4 + 15*n = 0. What is n?
-1/2, 1, 2
Let t be -8 - -11 - (-4)/4. Let l(p) be the third derivative of 1/7*p**3 + 0*p - 1/210*p**5 + t*p**2 + 0 + 1/42*p**4. Factor l(q).
-2*(q - 3)*(q + 1)/7
Let b = -172 - -162. Let f(n) = 27*n**3 + 267*n**2 + 130*n + 21. Let s(o) = 14*o**3 + 134*o**2 + 65*o + 10. Let x(z) = b*s(z) + 4*f(z). Factor x(w).
-2*(w + 8)*(4*w + 1)**2
Let t be ((-30)/12)/5*-6. Let w be 2 + (6 - (9 - t)). Let -10/3*j - 4/3 + w*j**2 = 0. What is j?
-1/3, 2
Let y(c) be the first derivative of c**4/14 - 18*c**3/7 + 74*c**2/7 - 96*c/7 - 2017. Suppose y(d) = 0. Calculate d.
1, 2, 24
Suppose 4*j - 383 = u, -5*j + 465 = -3*u - u. Factor -95*w**4 + 8*w + 1 + 18*w**2 + 12*w**3 - 1 + j*w**4.
2*w*(w + 1)**2*(w + 4)
Suppose -3*m = -3, -b = -6*b + 3*m + 7. Suppose 50*v - 24*v = -53*v - 25*v. What is n in -1/4*n**b - n + v = 0?
-4, 0
Let z(h) = -7*h**5 + 8*h**4 + 3*h**3. Let i = 108 + -103. Let f(m) = 8*m**5 - 9*m**4 - 4*m**3. Let p(x) = i*z(x) + 4*f(x). Factor p(n).
-n**3*(n - 1)*(3*n - 1)
Let y = 32 - 47. Let x be (80/36)/((-10)/y). Factor 0 + 1/3*g**4 - x*g**3 + 0*g + 25/3*g**2.
g**2*(g - 5)**2/3
Let i = 14393/18412 - 146/4603. Factor -21/2 + 15/4*d + i*d**2.
3*(d - 2)*(d + 7)/4
Suppose j + 0*j - 22 = 3*l, -5*l - 42 = -3*j. Let p(k) be the second derivative of 0 + 2*k**2 - 1/6*k**j - 1/15*k**6 - 22*k - 3/10*k**5 + k**3. Factor p(t).
-2*(t - 1)*(t + 1)**2*(t + 2)
Let v(l) be the second derivative of -18*l**6/5 - 18*l**5/5 + 443*l**4/4 - 145*l**3/2 + 18*l**2 - 12741*l. Suppose v(z) = 0. Calculate z.
-4, 1/6, 3
Suppose 101*v - 584 = -424*v + 93 + 898. Determine r so that 0*r**4 + 2/5*r**2 - 3/5*r**v + 0*r + 1/5*r**5 + 0 = 0.
-2, 0, 1
Let r be (-13 - -6)/(2*3/(-2022)). Let t = r + -1631. Factor 2*b**2 - 828 - 20*b - 4*b**2 + b**2 + t.
-(b + 10)**2
Let s(y) = 2*y + 10. Let n be s(-5). Suppose n = -o - 2*c + 12, -2*c = 5*o - 10 - 10. Let 5*i**o - 4 + 5*i**2 + 8*i - 14*i**2 = 0. Calculate i.
1
Let t(y) be the first derivative of 12/7*y**2 + 71 - 16/7*y - 11/14*y**4 + 4/21*y**3 + 12/35*y**5 - 1/21*y**6. Solve t(w) = 0 for w.
-1, 1, 2
Let o = -49 + 49. Suppose p = -o*p + 12. Determine a so that -9*a - 4*a**5 + 10*a**4 + 6*a**2 - 6 - 10*a**4 + a**5 + p*a**3 = 0.
-1, 1, 2
Suppose 11*z = 14*z + 1830. Let o = 610 + z. Determine n so that -4/5*n**4 + o*n - 64/5 + 32/5*n**2 + 0*n**3 = 0.
-2, 2
Let u(y) be the first derivative of y**6/48 + 173*y**5/40 - 177*y**4/32 - 517*y**3/24 + 217*y**2/4 - 87*y/2 - 4521. Factor u(w).
(w - 1)**3*(w + 2)*(w + 174)/8
Let 3/4*h**5 + 4586430*h**3 - 219328479910824 - 3586588260*h**2 + 1402356009660*h - 5865/2*h**4 = 0. What is h?
782
Suppose -2418/11*y**2 + 2412/11*y + 0 + 6/11*y**3 = 0. What is y?
0, 1, 402
Suppose -56 = -r - 3*g, -5*g + 647 = -5*r + 587. Solve 0*l - 84/5*l**4 + 0 + 4/5*l**r + 396/5*l**3 + 484/5*l**2 = 0.
-1, 0, 11
Let q(o) be the second derivative of -7*o - 1 + 3/20*o**5 + 3*o**2 + o**4 + 5/2*o**3. Factor q(n).
3*(n + 1)**2*(n + 2)
Let s(z) be the second derivative of z**5/80 + z**4/12 - 457*z**3/24 - 115*z**2/2 - 1485*z. Factor s(g).
(g - 20)*(g + 1)*(g + 23)/4
Let l = 52 - 48. Let t(w) = 56*w**2 - 108*w**2 + l*w + 53*w**2. Let g(p) = p. Let u(i) = -15*g(i) + 5*t(i). Factor u(a).
5*a*(a + 1)
Let j(r) be the first derivative of -r**7/490 + 3*r**6/280 - 3*r**5/140 + r**4/56 - 20*r**2 - 59. Let x(t) be the second derivative of j(t). Factor x(p).
-3*p*(p - 1)**3/7
Let p(z) be the second derivative of z**7/336 + 3*z**6/40 - 9*z**5/32 - 47*z**4/48 + 5*z**3/2 - z - 2547. Let p(g) = 0. What is g?
-20, -2, 0, 1, 3
Let s be (24 - 31)/(123/(-287)). What is w in s*w - 35/3*w**2 + 0 - 13/3*w**3 - 1/3*w**4 = 0?
-7, 0, 1
Factor 0 + 0*t + 2/15*t**5 - 2/5*t**4 - 6/5*t**3 - 2/3*t**2.
2*t**2*(t - 5)*(t + 1)**2/15
Suppose 3*v - 15 = w, 3*w - 2*v = -0*v - 10. Let p(u) be the first derivative of 0*u**4 + 32 + 1/18*u**3 + 1/72*u**6 - 1/30*u**5 + w*u - 1/24*u**2. Factor p(b).
b*(b - 1)**3*(b + 1)/12
Let o be (30/(-36))/((-9)/(-18))*4/(-35). Find s such that 2/21*s**3 - 2/7*s**2 - 2/21*s + o*s**4 + 2/21 = 0.
-1, 1/2, 1
Let h(m) be the second derivative of -1/27*m**4 + 16 + 7/90*m**5 - 4/135*m**6 + 2*m - 1/27*m**3 + 0*m**2. What is q in h(q) = 0?
-1/4, 0, 1
Solve 4945*f + 1765*f + 2970 + 5*f**2 - 2063 + 5798 = 0.
-1341, -1
Suppose 3 = 4*x - 21. Suppose 3 = 2*o + b, -18 = -5*o + 3*b + x. What is r in -16 - 15*r**2 - 15*r + 5 - 5*r**o + 6 = 0?
-1
Let o(c) = -8*c - 2. Suppose 0 = 2*s - 4*l - 10, 0*l = -3*s - 3*l - 12. Let r be o(s). Factor 0 + 9*p + p**2 - r - 4*p**2.
-3*(p - 2)*(p - 1)
Let v(l) be the third derivative of -l**7/1890 - 29*l**6/540 - 1081*l**5/540 - 529*l**4/18 - 418*l**2 - 4. Suppose v(i) = 0. Calculate i.
-23, -12, 0
Factor -39 - 81/2*s**2 - 315/4*s - 3/4*s**3.
-3*(s + 1)**2*(s + 52)/4
Suppose 26*p - 100 = 7*p - 31*p. Factor -116/5*i - 1682/5 - 2/5*i**p.
-2*(i + 29)**2/5
Let 128000 + 339587*v**2 + 328513*v**2 - 20*v**5 - 3115*v**4 - 139983*v - 140080*v**2 - 496817*v - 114500*v**3 = 0. Calculate v.
-80, 1/4, 2
Let l(r) be the second derivative of 8*r**5/5 - 4*r**4 + 3*r**3 - r**2 + 262*r + 2. Factor l(i).
2*(i - 1)*(4*i - 1)**2
Let a = 97 - 70. Factor -9*q - 3*q**2 - 20*q**2 + a*q**2 + 5.
(q - 1)*(4*q - 5)
Suppose 4*b = 2*i - 46 + 118, b - 17 = i. Determine g, given that 36/5*g**i + 0*g + 2/5*g**4 + 0 - 22/5*g**3 = 0.
0, 2, 9
Let x be -14*(-3)/(-6)*(86/(-7) + 12). Let y(n) be the first derivative of 8 + 35/3*n**3 + 45/2*n**x + 10*n. Find c such that y(c) = 0.
-1, -2/7
Let a be 12/8*4 + (-13 - 5)/(1 - -6). Let -22/7*m**3 + 0*m - a*m**2 + 4/7*m**4 + 2/7*m**5 + 0 = 0. Calculate m.
-4, -1, 0, 3
Suppose -7*w - 49 = 56. Let k = w + 19. Factor 87*g**2 + 8*g**3 + 84*g**2 - 4*g**5 - 171*g**2 - k*g.
-4*g*(g - 1)**2*(g + 1)**2
Factor -2/3*u**3 - 26/3*u**2 + 56 + 40/3*u.
-2*(u - 3)*(u + 2)*(u + 14)/3
Suppose 6*s + 296 = 2*s. Let v = 76 + s. Suppose -6*a**2 + 1 + 0*a + 3*a**v + 4*a**3 - 9*a - 3 = 0. Calculate a.
-1, -1/4, 2
Let l = 12 + -13. Let j be (-11 - -13 - 2)*(0 - l). Solve -1/3*x**3 + 0 + j*x - 1/6*x**4 + 0*x**2 + 1/6*x**5 = 0.
-1, 0, 2
Let r = -124 + 249. Factor 20*g - 55 - r*g - 60*g**2 - 3*g**3 + 15*g**2 + 8*g**3.
5*(g - 11)*(g + 1)**2
Let u(t) be the second derivative of -t**5/8 - 3715*t**4/24 + 5*t**3/12 + 3715*t**2/4 - 66*t + 21. Find p such that u(p) = 0.
-743, -1, 1
Let d(h) be the first derivative of h**6/960 - 33*h**5/160 + 1089*h**4/64 - 11979*h**3/16 - 4*h**2 - 79. Let c(x) be the second derivative of d(x). Factor c(m).
(m - 33)**3/8
Let a = -6830 + 6835. Let q(k) be the second derivative of -10/3*k**3 - 4/3*k**4 + 0 + 26*k + 1/5*k**a + 0*k**2. Factor q(l).
4*l*(l - 5)*(l + 1)
Let k(o) be the third derivative of -1/72*o**6 + 5/4*o**4 - 1/24*o**5 - 17*o**2 + 0*o - 3*o**3 + 0. Let d(a) be the first derivative of k(a). Solve d(n) = 0.
-3, 2
Let g(v) = -202*v**2 - 1805*v + 117. Let j be g(-9). Factor 12/5*z**3 + 0 + j*z**2 + 4/5*z**4 - 16/5*z.
4*z*(z - 1)*(z + 2)**2/5
Let c be 4*(3 + ((-420)/364 - 1)). Find z, given that 2/13*z**5 + 64/13 + 62/13*z**3 - 20/13*z**4 - c*z**2 - 64/13*z = 0.
-1, 1, 2, 4
Suppose 5*h + 376 - 416 = 0, 4*x + 2*h = 24. Factor -38/5*w**2 - x*w + 8/5*w**3 + 0.
2*w*(w - 5)*(4*w + 1)/5
Let f(w) = 28*w**2 + 11256*w + 7929848. Let u(q) = 31*q**2 + 11255*q + 7929847. Let n(t) = -9*f(t) + 8*u(t). Factor n(p).
-4*(p + 1408)**2
Suppose -3*d + 24 = -6*k + 7*k, -5 = -5*d. Let f be k/18 + 12/36. Find a such that 9/2*a**4 + 0 - 3*a**3 + 0*a**2 + 0*a - f*a**5 = 0.
0, 1, 2
Let b(n) = -6*n**2 - 18*n + 20. Let i(d) = -20*d**2 + 34. Let w(k) = -7*k**2 + 12. Let m(r) = -6*i(r) + 17*w(r). Let l(x) = b(x) + 4*m(x). Factor l(v).
-2*(v - 1)*(v + 10)
Let l(i) = 10*i**3 + 28*i**2 + 21*i + 25. Let f(z) = 3*z**3 + 9*z**2 + 7*z + 5. Let m(q) = -14*f(q) + 4*l(q). Factor m(o).
-2*(o - 1)*(o + 3)*(o + 5)
Let s(y) = 5*y**2 - 3*y - 9. Let r(w) = 14*w**2 - 8*w - 27. Let f(c) = -4*r(c) + 11*s(c). Let h be f(2). Factor -1/2*v - 1/2*v**2 + h.
-(v - 2)*(v + 3)/2
Let c(w) be the first derivative of -w**8/4200 - w**7/1050 + 71*w**3/3 + 8. Let h(r) be the third derivative of c(r). Factor h(v).
-2*v**3*(v + 2)/5
Let y(d) b