n that x(w) = 0.
-1248, -2
Let v = 38 - 12. Suppose 0 = 4*n - v + 14. Determine a, given that -19*a + 23*a - 3 + n + 2*a**2 = 0.
-2, 0
Let g(r) = -r**4 - 14*r**3 + 1108*r**2 + 3854*r + 3607. Let d(w) = -5*w**4 - 60*w**3 + 4800*w**2 + 16700*w + 15630. Let a(f) = 7*d(f) - 30*g(f). Solve a(j) = 0.
-6, -2, 10
Let s(z) be the second derivative of 0*z**2 - 1 + 3/20*z**5 + 120*z - 1/2*z**4 - 3/2*z**3. Factor s(q).
3*q*(q - 3)*(q + 1)
Let g = 75045/1606 - 183/803. Suppose -20*c**2 + g*c - 63/2 + 2*c**3 = 0. What is c?
3/2, 7
Let u be (-6 + 4100/30)/((-585)/(-468)). Solve 112/15*s**3 + 2/15*s**4 + u*s**2 + 0 + 0*s = 0 for s.
-28, 0
Let n(v) = 8*v**3 - 448*v**2 - 9171*v - 8690. Let d(t) = -2*t**3 + 112*t**2 + 2292*t + 2172. Let o(f) = -25*d(f) - 6*n(f). Let o(p) = 0. Calculate p.
-15, -1, 72
Suppose -16/3 + 44/9*x - 10/9*x**2 = 0. What is x?
2, 12/5
Let s be (0 + -4)/2 - -4. Factor 26*i + 0*i + 24*i + 2*i - 2*i**s + 6*i**2.
4*i*(i + 13)
Suppose u - 2*u - 2 = 0, -3*u - 20 = -j. Let v be 12/j + (10 - (-4158)/(-392)). Solve -r + 0 + v*r**4 + 1/4*r**3 - r**2 = 0.
-2, -1, 0, 2
Suppose 7*i = -35 + 217. Suppose -28*g + 14 = -i*g. Factor -45*k**3 + 27*k**2 - 10*k**4 - 30*k - g*k**2 + 65*k**2.
-5*k*(k - 1)*(k + 6)*(2*k - 1)
Let -1568 + 1393/3*f - 110/3*f**2 + 1/3*f**3 = 0. What is f?
7, 96
Solve 18/7*r**2 + 1200/7 - 405/7*r + 3/7*r**3 = 0 for r.
-16, 5
Let q(c) be the first derivative of c**6/900 - c**5/50 + c**4/12 + 64*c**3/3 - c**2 - 12. Let m(f) be the third derivative of q(f). Solve m(i) = 0.
1, 5
Factor -468/7*d**3 - 19164/7*d**2 - 71136/7*d - 3/7*d**4 - 69312/7.
-3*(d + 2)**2*(d + 76)**2/7
Let j(y) be the first derivative of -9*y**5/5 - 345*y**4/4 - 149*y**3 - 111*y**2/2 + 804. Determine x so that j(x) = 0.
-37, -1, -1/3, 0
Factor 15/2*c**3 - 12*c - 3*c**2 - 3/2*c**4 + 0.
-3*c*(c - 4)*(c - 2)*(c + 1)/2
Let r(p) be the first derivative of 6/115*p**5 - 9/46*p**4 + 10/69*p**3 + 78 + 0*p + 0*p**2 + 1/69*p**6. Factor r(j).
2*j**2*(j - 1)**2*(j + 5)/23
Suppose 450*l - 502*l + 43 + 61 = 0. Factor 15/8*t**l + 57/8*t - 3/2.
3*(t + 4)*(5*t - 1)/8
Let x(y) be the second derivative of -y**5/90 + 4*y**4/9 + 19*y**3/3 + 30*y**2 + 346*y - 1. Find g, given that x(g) = 0.
-3, 30
Determine u so that -1/4*u**4 + 14*u + 1/4*u**5 - 9/2*u**3 + 7*u**2 - 24 = 0.
-4, -2, 2, 3
Let r be (-21)/(-6)*140/49. Factor -4*b**3 - 80*b**2 + 149*b**2 - 101*b**2 + r*b + 26*b.
-4*b*(b - 1)*(b + 9)
Let n(b) be the second derivative of b**6/30 + b**5/5 - 9*b**4/4 + 19*b**3/3 - 8*b**2 - b - 155. Factor n(q).
(q - 2)*(q - 1)**2*(q + 8)
Let p(d) be the third derivative of 1/30*d**6 - 5*d**2 + 20/3*d**4 + 0*d - 1 - 11/15*d**5 - 32*d**3. Factor p(q).
4*(q - 4)**2*(q - 3)
Let f(g) be the second derivative of g**4/16 + 7*g**3/2 - 87*g**2/8 - 1049*g. Factor f(o).
3*(o - 1)*(o + 29)/4
Let c(x) be the first derivative of -2*x**3/21 + 956*x**2/7 - 1910*x/7 - 5435. Factor c(r).
-2*(r - 955)*(r - 1)/7
Suppose 3*g + 9 + 3 = -3*h, -g - 4 = -2*h. Suppose -172 = -106*o - 54*o + 148. Factor h*n**4 + 0 - 2/15*n**5 + 2/5*n + 4/5*n**3 - 16/15*n**o.
-2*n*(n - 1)**3*(n + 3)/15
Let s(q) = 3*q + 15. Let f be s(1). Solve -f - 5*j**2 + 2 - j**4 - 6*j**3 - 4 + 56 + 24*j = 0.
-3, -2, 2
Determine z so that 4/7*z**5 + 72/7*z**4 - 552/7 + 436/7*z - 440/7*z**3 + 480/7*z**2 = 0.
-23, -1, 1, 2, 3
Let p = 6578665/7 + -939809. Solve -p*j**2 + 2/7*j + 16 = 0 for j.
-7, 8
Let m = -12095/3 - -4033. Let n be 85/25 + 2/(-5). Suppose -4/3*y + m*y**n + 0*y**2 + 0 = 0. Calculate y.
-1, 0, 1
Let o(h) be the third derivative of h**7/210 + 83*h**6/60 + 112*h**5 - 588*h**4 + 83*h**2 + 15*h. Determine g, given that o(g) = 0.
-84, 0, 2
Solve 221*n**3 + 34*n**3 - 5165*n + 150*n**2 + 9690 - 250*n**3 = 0.
-51, 2, 19
Let c(b) = -3*b**4 - 11*b**3 - 61*b**2 - 131*b - 110. Let i(u) = -u**4 + u**3 + u**2 + 2*u - 1. Let q(m) = -c(m) + 2*i(m). Solve q(p) = 0.
-4, -3
Let d = -476 + 479. Factor -8 + 7*h + 4*h**2 + 4 - d*h - 4*h.
4*(h - 1)*(h + 1)
Let k(h) = -35*h + 7*h - 106*h**2 + 112*h**2 - 6. Let z(b) = 23*b**2 - 113*b - 24. Let j(f) = 26*k(f) - 6*z(f). Factor j(x).
2*(x - 3)*(9*x + 2)
Let r(z) be the second derivative of 0 - 49*z - 1/12*z**4 + 1/140*z**5 - 6/7*z**2 + 8/21*z**3. Suppose r(q) = 0. Calculate q.
2, 3
Let v(c) be the second derivative of c**4/8 + 99*c**3/4 + 147*c**2/2 + 88*c - 10. Factor v(s).
3*(s + 1)*(s + 98)/2
Suppose 5*c = -3*f + 34, 5*f - 21 = -3*c + 3*f. Let w(g) = 2*g**2 - 11*g + 7. Let l be w(c). Factor 0*p**3 - 4*p**4 - 4*p**3 + 33*p**2 - 9*p**l.
-4*p**2*(p - 2)*(p + 3)
Let i(x) be the second derivative of -x**7/56 - 19*x**6/40 - 291*x**5/80 - 45*x**4/16 + 81*x**3/4 - 168*x - 5. Determine o, given that i(o) = 0.
-9, -2, 0, 1
Let l(h) = 14*h**2 + 102*h + 2624. Let g(w) = -2*w**2 - 17*w - 375. Let z(q) = -22*g(q) - 3*l(q). Suppose z(s) = 0. What is s?
-27, -7
Let k = -736081/2193 + -12/731. Let s = k + 337. Factor s*b + 2/3*b**2 + 2/3.
2*(b + 1)**2/3
Let b = 276 + -223. Find o such that 792 - b*o - 837 + 5*o**2 + 13*o = 0.
-1, 9
Let b(w) be the first derivative of -1156*w**3 + 1360*w**2 - 1600*w/3 - 1060. Let b(v) = 0. Calculate v.
20/51
Let g be 4*-1 - 31210/50. Let t = 629 + g. What is u in -8/5*u**4 + 0*u + 0*u**2 + 0 - 4/5*u**5 - t*u**3 = 0?
-1, 0
Let x be 1 + 1 - 11840/256. Let c = x - -183/4. Factor -3*n**3 + 0*n**2 + c*n**5 + 0*n**4 + 3/2*n + 0.
3*n*(n - 1)**2*(n + 1)**2/2
Factor -2/3 + 25/3*k - 14*k**2.
-(2*k - 1)*(21*k - 2)/3
Find z, given that 4533615*z - 3*z**2 + 5*z**2 + 81 - 4533452*z = 0.
-81, -1/2
Let f(s) = -2*s - 21. Let y be f(-12). Factor 199*d + 113*d + 48 + 155*d**4 + 723*d**2 - 70*d**3 + 88*d**4 + 772*d**y.
3*(d + 1)**2*(9*d + 4)**2
Let h(g) = -2*g**2 - 2*g + 62. Let b be h(-6). Factor 75*v**2 + 57*v**2 - 19*v**b + 32*v - 34*v**2 - 28*v**3 + 25*v**2.
-4*v*(v - 4)*(7*v + 2)
Let r(c) be the second derivative of c**6/12 + 19*c**5/120 - 203*c**4/72 - 139*c**3/36 + 17*c**2/3 - 3236*c. Determine x, given that r(x) = 0.
-4, -1, 1/3, 17/5
Let p(k) be the third derivative of k**7/280 + 11*k**6/160 - 5*k**5/16 + 13*k**4/32 - 494*k**2 + 3*k. Factor p(s).
3*s*(s - 1)**2*(s + 13)/4
Let k(h) = 5*h**2 - 1433*h - 126733. Let c(y) = -28*y**2 + 7168*y + 633664. Let r(b) = -3*c(b) - 16*k(b). Determine p, given that r(p) = 0.
-178
Factor 4171*g - 2*g**3 + 2*g**3 + 5*g**3 - 7196*g + 645 + 740*g**2 + 1635.
5*(g - 3)*(g - 1)*(g + 152)
Let h(l) be the third derivative of l**5/10 + 461*l**4/8 + 459*l**3/2 + 10*l**2 - 32. Factor h(o).
3*(o + 1)*(2*o + 459)
Let n(f) = -20*f - 117. Let s be n(-6). Suppose -4*a + 5*q = -25 + 4, 0 = s*a - 3*q - 15. Let -1/2*g**2 + g**3 + 0 + 1/2*g**a - g = 0. What is g?
-2, -1, 0, 1
Solve 5/4*k**2 + 203/2 + 213/4*k = 0.
-203/5, -2
Factor 540 - 450*y**2 + 293*y**2 + 560*y + 312*y**2 + 5*y**3.
5*(y + 2)**2*(y + 27)
Suppose -1646*c**3 + 214/3*c**4 - 21964/3*c + 14/3*c**5 + 0 - 78302/3*c**2 = 0. Calculate c.
-17, -2/7, 0, 19
Let p(j) = j**3 - 361*j**2 - 1108*j + 5827. Let s be p(364). Factor -858/7*v**2 - 108/7*v**s - 1083/7 + 2052/7*v - 3/7*v**4.
-3*(v - 1)**2*(v + 19)**2/7
Let s(c) = 7*c**2 + 13*c + 18. Let v(w) be the second derivative of -2*w**4/3 - 2*w**3 - 10*w**2 + 4*w + 10. Let r(a) = 4*s(a) + 3*v(a). Factor r(d).
4*(d + 1)*(d + 3)
Let g(o) be the second derivative of -o**5/60 + o**4/3 - 8*o**3/3 + 88*o**2 - 9*o. Let m(s) be the first derivative of g(s). Suppose m(q) = 0. What is q?
4
Let p(b) be the second derivative of b**5/110 + 40*b**4/33 + 700*b**3/11 + 18000*b**2/11 - 180*b - 1. Solve p(n) = 0 for n.
-30, -20
Suppose 60*f**3 - 232/3*f**2 + 4/3*f**5 - 16*f**4 + 0 + 32*f = 0. What is f?
0, 1, 4, 6
Let y(h) be the second derivative of 1585*h**4/8 + 4753*h**3/12 - h**2/2 + 129*h - 1. Factor y(a).
(a + 1)*(4755*a - 2)/2
Let l(a) be the first derivative of -784*a**5 + 69 - 512*a + 1600*a**2 + 343/3*a**6 - 7520/3*a**3 + 2030*a**4. What is m in l(m) = 0?
4/7, 2
Suppose 40*f = -47 + 167. Let o(r) be the second derivative of -9/70*r**5 + 3/7*r**f + 1/14*r**4 - 6/7*r**2 + 6*r + 0 + 1/35*r**6. What is w in o(w) = 0?
-1, 1, 2
Let r = 13051 + -13022. Let b(a) be the first derivative of -10/3*a + r - 4/3*a**2 + 2/9*a**3. Solve b(t) = 0 for t.
-1, 5
Let z(v) be the second derivative of 7*v**5/60 - 13*v**4/24 - v**3/3 + 9*v**2/2 + 71*v. Let f(q) be the first derivative of z(q). Factor f(o).
(o - 2)*(7*o + 1)
