42735*o + 38614481. Let b(r) = -6*g(r) - 26*y(r). Factor b(q).
-2*(q + 338)**3
Let v(d) be the first derivative of -d**2/2 + 29. Let y(q) = -2*q**2 - 24*q. Let f(w) = 28*v(w) - 2*y(w). Factor f(t).
4*t*(t + 5)
Suppose 21*t + 27 = 69. Factor -1 + 28*i + 211*i**2 - 215*i**t - 39.
-4*(i - 5)*(i - 2)
Let b(u) be the second derivative of u**6/10 - 231*u**5/20 + 1707*u**4/4 - 8015*u**3/2 - 14700*u**2 - 207*u - 1. Suppose b(g) = 0. Calculate g.
-1, 8, 35
Let n be ((-3)/2)/((-18)/24). Let u be 9/5 + n/10. Suppose -83*m**3 - 3*m**2 + m**u + 85*m**3 = 0. Calculate m.
0, 1
Let r(k) be the second derivative of -5*k**4/12 + 45*k**2/2 + 6*k - 18. Factor r(q).
-5*(q - 3)*(q + 3)
Suppose 4*j + 220 = -j. Let t be 1*3 + 132/j. What is d in t - 4/7*d - 4/7*d**2 = 0?
-1, 0
Let o(x) = x**3 - 52*x**2 + 159*x + 64. Let h be o(49). Determine v so that 7*v**4 - 2692*v**2 + 32*v**4 - 592 - 432 + 77*v**4 - 2944*v - h*v**3 - 4*v**5 = 0.
-1, 16
Suppose -2817*o = -2794*o. Let a(q) be the third derivative of o*q + 0 + 1/4*q**4 + 27*q**2 + 3*q**3 + 1/120*q**5. Factor a(x).
(x + 6)**2/2
Let l(n) = n**3 - 5*n**2 - 13*n - 5. Let a be l(7). Factor 77*x - 7 - 55*x - 9*x**2 - a*x**3 + x**2 - 5.
-2*(x - 1)**2*(x + 6)
Let m(y) be the second derivative of -y**5/60 + 5*y**4/12 + 3*y**3 - 73*y. Factor m(i).
-i*(i - 18)*(i + 3)/3
Let t(c) be the first derivative of 2*c**3/15 - 382*c**2/5 - 1536*c/5 + 494. Factor t(s).
2*(s - 384)*(s + 2)/5
Let m(z) = 85*z**4 + 217*z**3 + 208*z**2 + 19*z - 19. Let c(f) = -9*f**4 - 24*f**3 - 23*f**2 - 2*f + 2. Let v(r) = 38*c(r) + 4*m(r). Let v(a) = 0. Calculate a.
-21, -1, 0
Let q = -52 - -72. Suppose 0 = -14*k + q*k - 30. Factor -201*j**4 - 2*j**2 + 211*j**4 + k*j - 5*j**5 - 8*j**2.
-5*j*(j - 1)**3*(j + 1)
Determine x so that 391/4*x - 1/4*x**3 + 48*x**2 - 291/2 = 0.
-3, 1, 194
Suppose 9635 = 16*i - 36445. Factor -7 + 240*n**2 - 4 + 13 - 5*n**3 - 2 - i*n.
-5*n*(n - 24)**2
Let g(j) = -j - 29. Let c be g(-46). Let i(m) be the third derivative of 0 + 1/160*m**5 + 1/8*m**3 - 3/64*m**4 + 0*m - c*m**2. Factor i(x).
3*(x - 2)*(x - 1)/8
Let t(f) be the first derivative of -5*f**4/4 + 15*f**3 + 405*f**2/2 + 675*f - 926. Factor t(d).
-5*(d - 15)*(d + 3)**2
Suppose 472/3*o + 2/3*o**3 + 104 + 54*o**2 = 0. What is o?
-78, -2, -1
Let o(b) = -2*b**2 + 32*b - 24. Let w(j) = 2*j + 5. Let c(a) = 4*a + 12. Let p(y) = 2*c(y) - 5*w(y). Let n(z) = -2*o(z) - 4*p(z). Solve n(m) = 0.
1, 13
Let m be (15/65)/(2*((-1155)/390 - -3)). Suppose 43/3*k**m + 88/3*k**2 + 4/3*k + 0 = 0. What is k?
-2, -2/43, 0
Let t = -124427/80 - -7777/5. Let s(q) be the second derivative of 0 + 1/4*q**3 - 46*q - 3/10*q**5 + t*q**4 + 1/8*q**6 + 0*q**2. Factor s(h).
3*h*(h - 1)**2*(5*h + 2)/4
Let j(m) = m**3 + 12*m**2 - 30*m - 24. Let w be j(-14). Suppose 0*q = -2*u + 2*q - 2, 0 = 2*u - 4*q + w. Factor 6 + 6*y**3 + 7*y**3 - 9*y + u*y - 10*y**3.
3*(y - 1)**2*(y + 2)
Determine v so that -32/5*v - 1/5*v**3 + 0 - 12/5*v**2 = 0.
-8, -4, 0
Suppose 63 = 7*p + 49. Let f(a) be the first derivative of 17 - 5*a**p - 1/2*a**4 - 4*a - 8/3*a**3. What is w in f(w) = 0?
-2, -1
Let m(f) be the second derivative of -27*f**2 + 9/2*f**3 + 243*f - 1/4*f**4 + 0. Solve m(h) = 0.
3, 6
Let r be (-642 - -641) + 1/3*-1*-3. Let q(k) be the third derivative of 0*k - 1/6*k**4 - 1/15*k**5 + 2*k**2 + 0 + r*k**3. Determine i so that q(i) = 0.
-1, 0
Let y(v) be the first derivative of -v**5/4 - 17*v**4/4 - 35*v**3/2 + 49*v**2/2 + 343*v/4 + 949. Suppose y(x) = 0. What is x?
-7, -1, 7/5
Let k(a) be the third derivative of 7/32*a**4 + 5/4*a**3 + 20*a**2 + 0*a + 1/80*a**5 + 0. Factor k(c).
3*(c + 2)*(c + 5)/4
Suppose 33*q = 7 + 59. Let p(f) be the second derivative of 1/84*f**7 + 0*f**q + 0 - 1/40*f**5 - 1/24*f**4 - 15*f + 0*f**3 + 1/60*f**6. Factor p(v).
v**2*(v - 1)*(v + 1)**2/2
Suppose -2 + 20 = 6*j. Suppose -2*x - 21 = -m, m - 8 - 17 = j*x. Factor -6*d + 22*d**2 - 18*d**4 + d**3 + 14*d - 8 - m*d**3.
-2*(d + 1)**2*(3*d - 2)**2
Let o(h) = -12*h - 14. Let b be o(-2). Let w be (-5 - -11 - b)/(-22). Find p, given that -w*p**2 + 2/11 + 0*p = 0.
-1, 1
Let n = -334/5 - -67. Let x = -24176 - -241761/10. Find k such that x*k**2 + 1/10 - n*k = 0.
1
Let n(s) be the first derivative of s**6/15 - 7*s**5/10 + 8*s**4/3 - 4*s**3 - 128*s + 206. Let k(m) be the first derivative of n(m). Let k(c) = 0. Calculate c.
0, 2, 3
Determine v, given that 100/7*v**2 + 310/7*v**3 - 144/7 - 136/7*v**4 - 72*v + 2*v**5 = 0.
-1, -2/7, 2, 3, 6
Let v(o) be the third derivative of 0*o - 1/30*o**5 + 0*o**4 + 1/210*o**7 + 0 - 1/120*o**6 + 0*o**3 + 56*o**2. What is a in v(a) = 0?
-1, 0, 2
Suppose 193*u = 183*u + 12790. Let o = 1282 - u. What is n in -16/7*n**2 + 2/7*n**4 + 0*n - 4/7*n**o + 0 = 0?
-2, 0, 4
Let g be 187/44 + (-1100)/176 + (-82)/(-16). Find k such that -g + 5/4*k - 1/8*k**2 = 0.
5
Let q be (-24255)/4158*(-23 + 2). Determine x so that 210*x - 1415/2*x**3 + 40 + 20*x**2 + q*x**5 + 315*x**4 = 0.
-4, -2/7, 1
Let z(r) = 13*r**2 - 18*r + 39. Let l = 655 - 651. Let q(w) = 16*w**2 - 16*w + 40. Let v(m) = l*z(m) - 3*q(m). Solve v(g) = 0 for g.
3
Let k(l) = -9*l**3 + 94*l**2 - 213*l - 239. Let s(r) = 5*r**3 - 48*r**2 + 109*r + 120. Let q(h) = -6*k(h) - 11*s(h). Factor q(t).
-(t - 3)*(t + 1)*(t + 38)
Let x(s) be the first derivative of 2/5*s**2 - 16/15*s**3 - 1/5*s**4 - 33 + 16/5*s. Determine z so that x(z) = 0.
-4, -1, 1
Let n(f) = -12*f**2 + 1665*f - 1689. Let r(x) = -7*x**2 + 832*x - 845. Let l(j) = 5*n(j) - 9*r(j). Solve l(t) = 0 for t.
-280, 1
Suppose 918/11 - 2/11*d**3 + 114/11*d**2 - 630/11*d = 0. Calculate d.
3, 51
Let r be ((-3)/(84/(-16)))/((-636)/(-2968)). Factor -2/3*y**3 + 2/3*y + r - 8/3*y**2.
-2*(y - 1)*(y + 1)*(y + 4)/3
Let c(s) be the first derivative of 4*s**3/3 - 458*s**2 + 912*s + 966. Determine d, given that c(d) = 0.
1, 228
Let j(g) be the second derivative of 2*g**7 + 10*g**6 + 783*g**5/140 - 54*g**4/7 + 27*g**3/14 - 25*g - 18. Find u such that j(u) = 0.
-3, -1, 0, 3/14
Suppose 3741*j - 3531*j = 1050. Let 2/15*r**j + 16/15*r - 2/3*r**3 + 2/15*r**4 - 8/15 - 2/15*r**2 = 0. Calculate r.
-2, 1
Let l = -104 - -105. Let a be l/((-27)/119 - (-10)/35). Factor -80*t**2 + 5*t**5 + 72*t**3 - a*t**4 + 7*t**4 + 32*t - 18*t**4 - t**5.
4*t*(t - 2)**3*(t - 1)
Let 372 + 133*s - 3*s**2 + 148*s + 88*s = 0. Calculate s.
-1, 124
Let c(l) be the second derivative of 2187*l**5/100 + 297*l**4 + 434*l**3/5 + 48*l**2/5 - 915*l. Factor c(d).
3*(d + 8)*(27*d + 2)**2/5
Let q = 3 + 17. Let m = q - 6. Suppose -4*r**3 + 5*r**2 - m*r**2 + r**2 = 0. What is r?
-2, 0
Let l(r) be the second derivative of 2*r**6/15 + 81*r**5 - 136*r**4 - 1624*r**3/3 - 9025*r. Determine y, given that l(y) = 0.
-406, -1, 0, 2
Suppose 2*t - 1013 = -5*r + 874, 3*t - 2859 = 2*r. Let v = t - 949. Solve 0 + 3/2*h**3 - 3/2*h**4 + 0*h**v + 0*h = 0 for h.
0, 1
Let a = -196465 + 1375259/7. Solve -a*r**4 + 0 - 72/7*r - 24/7*r**3 + 100/7*r**2 = 0 for r.
-9, 0, 1, 2
Let g = 4164407/7 - 594893. Suppose 6/7*a**2 + 0*a + 0 - 171/7*a**4 + 9/7*a**3 + g*a**5 = 0. What is a?
-2/13, 0, 1/4, 1
Solve -2*g**4 + 9013*g**2 - 15001 + 390*g**3 + 3659*g**2 + 5*g**4 + 5757 - 390*g - 3431 = 0 for g.
-65, -1, 1
Let o be (-30321)/(-6738)*2/3. Find v, given that -1/4*v**5 - 3/2*v**o - v**2 + 2*v + 5/4*v**4 + 0 = 0.
-1, 0, 2
Factor -144*v**2 + 804 - 426 + 357*v**2 - 216*v + 3*v**3 - 378.
3*v*(v - 1)*(v + 72)
Let f be (-11304)/(-560) - 6 - (386/28 - 14). What is j in 48/5 + 3/5*j**3 + f*j + 27/5*j**2 = 0?
-4, -1
Let p be (-2 - -3)/((-28)/(-196)). Let g be p + -1 - (-2592)/(-480). Determine r so that -1/5*r**2 - 4/5*r - g = 0.
-3, -1
Let t(q) be the third derivative of -2*q**5/45 - 3151*q**4/36 + 788*q**3/9 + 3*q**2 + 1133*q - 2. Determine p, given that t(p) = 0.
-788, 1/4
Let o(a) be the second derivative of a**6/90 - 7*a**5/30 - 13*a**4/12 + 58*a**3/9 - 32*a**2/3 + 2*a - 5463. Factor o(h).
(h - 16)*(h - 1)**2*(h + 4)/3
Let m(r) = 5*r**2 - 14*r - 3. Let q(n) be the first derivative of -5*n**3/3 + 13*n**2/2 + n - 10. Let u(z) = -3*m(z) - 4*q(z). Factor u(j).
5*(j - 1)**2
Let k(o) be the third derivative of -3*o**7/280 + 61*o**6/160 - 11*o**5/5 - 87*o**4/2 - 144*o**3 + 2*o**2 - 281*o - 1. Solve k(t) = 0.
-8/3, -1, 12
Let d = -369 - -391. Let a be (-3)/2 + 165/d - 4. Find w such that 12/5*w**4 + 0 - 12/5*w**a + 4/5*w + 4/5*w**3 - 8/5*w**5 =