(7*w - 4)
Let l = 1210/5391 + -4/1797. Let g(b) be the second derivative of 0 + 0*b**3 - 16*b + 0*b**2 + l*b**4 + 2/15*b**5 + 1/45*b**6. Determine r, given that g(r) = 0.
-2, 0
Let y(w) be the second derivative of w**7/294 - 2*w**6/35 - 37*w**5/70 + 55*w**4/7 + 3025*w**3/42 - 2853*w - 2. Suppose y(a) = 0. What is a?
-5, 0, 11
Factor 262*z + z**2 - 2*z**2 + 0*z**2 - 25 - 235*z - 25.
-(z - 25)*(z - 2)
Let f = 95227/208 - 7207/16. Find w such that -2/13*w**3 + 0 - 1152/13*w - f*w**2 = 0.
-24, 0
Let a = -238 + 238. Suppose -n + 3 = a, -8*z + 6*z + 14 = 2*n. Solve 9*h**2 - 21/2*h**3 + 3/2*h - 3 + 3*h**z = 0 for h.
-1/2, 1, 2
Let r(w) = -w**2 - 45*w - 47. Suppose 2*x = 9*x - 21. Let u(v) = 44*v + 48. Let a(n) = x*u(n) + 4*r(n). Factor a(k).
-4*(k + 1)*(k + 11)
Let w be 139/6 + (-7)/(4 - -38). Suppose 5*s - w*s**3 - s**4 + 3 + 19*s**3 - s - 2*s**2 = 0. What is s?
-3, -1, 1
Let l(q) be the first derivative of 48*q**5/5 - 105*q**4/4 + 22*q**3 - 9*q**2/2 + 639. Factor l(n).
3*n*(n - 1)**2*(16*n - 3)
Let w(c) be the second derivative of -c**5/40 + 35*c**4/24 - 127*c**3/12 + 93*c**2/4 - 908*c. Find u, given that w(u) = 0.
1, 3, 31
Let x(l) = 2*l**3 + 6*l**2. Let s(k) = -75*k**3 + 185*k**2 + 1640*k + 1620. Let r(p) = s(p) + 40*x(p). Factor r(c).
5*(c + 2)**2*(c + 81)
Let k(l) = l**3 + 91*l**2 + 434*l + 346. Let i be k(-86). Factor -2/9 - 1/9*t**i - 1/3*t.
-(t + 1)*(t + 2)/9
Let r(g) be the third derivative of -g**5/90 + 7*g**4/3 - 164*g**3/9 - 316*g**2. Factor r(h).
-2*(h - 82)*(h - 2)/3
Suppose 5*p + q = 15, 4*q = 6*q. Let x be 36/24*p - (4 + 0). Let -x - 2*a**4 - 15/2*a**2 - 7/2*a - 13/2*a**3 = 0. What is a?
-1, -1/4
Factor -795/2*g - 5/4*g**2 - 126405/4.
-5*(g + 159)**2/4
Suppose 4*l - 8 = -0*l. Suppose 0 = 4*p - 8*h + 11*h - 8, l*p + 2*h - 4 = 0. Factor -4 - 3*k**p + 10 - 2*k + 2*k**2 - 7.
-(k + 1)**2
Factor 2*y**4 - 162*y**3 + 42*y**2 - 476*y**2 - 6*y**4 + 200*y**2.
-2*y**2*(y + 39)*(2*y + 3)
Let m be 0 + (-12)/7 - (56/(-84) - (-36)/(-27)). Find n such that 0 - 34/7*n - m*n**2 = 0.
-17, 0
Let 12 + 3*d**2 - 4*d**2 - 27*d**2 + d + d**4 + d**2 + 14*d**2 - d**3 = 0. Calculate d.
-3, -1, 1, 4
Factor 1/3*p**3 + 0 + 7/3*p**2 - 6*p.
p*(p - 2)*(p + 9)/3
Let n(d) be the third derivative of d**7/630 - 3*d**6/10 + 1081*d**5/45 - 1056*d**4 + 247808*d**3/9 - 4204*d**2. Factor n(u).
(u - 32)**2*(u - 22)**2/3
Let k(q) = -23*q - 98. Let y be k(-4). Let m(b) = -14*b**2 - 104*b - 1670. Let c(z) = -2*z**2 + 2*z + 2. Let l(f) = y*c(f) + m(f). Factor l(p).
-2*(p + 29)**2
Suppose -2*r + 90 = -3*x, -5*x + x + 169 = 3*r. Let y = r + -15. Solve -48*z + 2*z**2 + y*z**2 - 10*z**2 + 3 - 19 = 0 for z.
-2/7, 2
Determine m so that -9/2*m - 3 + 3/2*m**4 + 3/2*m**2 + 9/2*m**3 = 0.
-2, -1, 1
Let a be (17 - 1)/4*5. Determine q, given that -8*q**2 + 3 + 4 + 26*q**2 - q**4 + 4*q**3 + a*q = 0.
-1, 7
Let b(j) be the third derivative of j**6/40 - 67*j**5/20 + 8*j**4 + 66*j**3 - 1505*j**2. Factor b(p).
3*(p - 66)*(p - 2)*(p + 1)
Let j(l) = 3*l**3 - 17*l**2 - 28*l - 13. Let z = -1 - -6. Let b(q) = q**3 - 8*q**2 - 13*q - 6. Let v(s) = z*b(s) - 2*j(s). Let v(g) = 0. What is g?
-4, -1
Factor -9/7*h + 1/7*h**2 - 10/7.
(h - 10)*(h + 1)/7
Let 268/5*s - 4/5*s**2 - 768/5 = 0. Calculate s.
3, 64
Suppose -60 - 60 = -30*m. Let w(c) = 2*c - 6. Let t be w(5). Factor 20*h**3 + 6 - 32*h + 233*h**5 - 237*h**5 + 10 + t*h**2 - m*h**4.
-4*(h - 1)**3*(h + 2)**2
Factor 243 - 261*j - 163*j**2 - 30 + 223*j**2 - 697 - 286 - j**3.
-(j - 55)*(j - 7)*(j + 2)
Let x(i) be the first derivative of -2*i**3/27 - 73*i**2/9 + 260*i/3 - 1149. What is v in x(v) = 0?
-78, 5
Let a(o) = -o - 2. Let s be a(-5). Suppose 0 = 3*u - 0*k - 2*k - 164, -3*k - s = 0. Suppose -6*m - 3*m**3 - 54 - 9*m**2 + u = 0. Calculate m.
-2, -1, 0
Let t(j) = 5*j**2 - 540*j + 625. Let m(o) = 6*o**2 - 538*o + 637. Let x(q) = -6*m(q) + 7*t(q). Suppose x(h) = 0. Calculate h.
-553, 1
Factor -432 + 683/3*x**2 + 1/6*x**4 - 192*x - 73/6*x**3.
(x - 36)**2*(x - 2)*(x + 1)/6
Let r(x) be the first derivative of -55 + 4/5*x**5 - 2*x**4 - 16*x + 16*x**2 - 4*x**3. Suppose r(t) = 0. Calculate t.
-2, 1, 2
Suppose 8*y - 2*n - 199 = 7*y, -731 = -4*y - 5*n. Suppose -85*c + y = -22*c. Let -2/3 - 4*k**2 + 11/3*k - c*k**3 = 0. What is k?
-2, 1/3
Let f(q) be the second derivative of 18*q**7/7 + 66*q**6/5 + 144*q**5/5 + 104*q**4/3 + 224*q**3/9 + 32*q**2/3 - 25*q + 9. Factor f(y).
4*(y + 1)*(3*y + 2)**4/3
Let x = -10079 - -10084. Let r(l) be the third derivative of 0 + 1/4*l**x + 0*l**3 + 1/24*l**6 + 0*l + 5/12*l**4 + 22*l**2. Factor r(g).
5*g*(g + 1)*(g + 2)
Let y(c) be the second derivative of -c**4/2 - 82*c**3/3 + 376*c**2 + 11267*c. Factor y(j).
-2*(j - 4)*(3*j + 94)
Let f(h) be the second derivative of -1/33*h**6 + 1 - 1/55*h**5 + 0*h**4 + 0*h**2 + 0*h**3 - 57*h + 1/33*h**7. Factor f(t).
2*t**3*(t - 1)*(7*t + 2)/11
Let b(q) be the third derivative of q**7/1260 + 7*q**6/120 + 9*q**5/40 + 5*q**4/18 + 4756*q**2. Factor b(y).
y*(y + 1)**2*(y + 40)/6
Factor -721 - 835 - 4*b**2 - 268 - 4063*b + 4983*b.
-4*(b - 228)*(b - 2)
Suppose 6*c = 7*c + 9*c. Let n = -12 + 16. Factor -21*t**3 + 13*t**3 + 2*t - t**n + 1 + c*t**4 + 6*t**3.
-(t - 1)*(t + 1)**3
Suppose -4*s + 9630 = -38738. Determine k so that -12086 - 128*k**4 + 2*k**4 + 33*k**5 - 96*k**2 + 9*k + s + 174*k**3 = 0.
-2/11, 1
Suppose -4*q + 364 = 24*q. Let r be 154/q + 0 - 26/(-169). Suppose -9/5*h**4 - 3*h**3 + r*h + 24/5 + 6*h**2 = 0. What is h?
-2, -1, -2/3, 2
Find h such that 373*h**3 + 905 - 131*h + 131*h**2 - 371*h**3 - 838 - 69*h = 0.
-67, 1/2, 1
Factor -1/7*u**4 + 94/7*u**3 + 0 + 591/7*u**2 + 900/7*u.
-u*(u - 100)*(u + 3)**2/7
Let g be 13/10 - 2/(-10). Let i = 330/307 + 5787/614. Find j, given that -g*j**3 + 6 + i*j + 3*j**2 = 0.
-1, 4
Let f(b) = -b - 1. Let y be f(-8). Let v(a) = 5*a**3 + 17*a**2 + 2*a - 24. Let d(t) = 4*t**3 + 18*t**2 + 2*t - 24. Let s(h) = y*d(h) - 6*v(h). Factor s(g).
-2*(g - 12)*(g - 1)*(g + 1)
Solve -473312 - 3*t**3 + 486*t + 473312 + 237*t**2 = 0.
-2, 0, 81
Suppose -92 = -5*m - 7. Suppose -a - 14 = a + 5*w, -5*w - m = a. Let -a*x - 9*x**2 + 8*x - 10*x**2 + 4*x**2 = 0. Calculate x.
0, 1/3
Suppose 9*c - 37 = -19. Let v be -2 - (-5 - (c + 4 - 9)). Factor v*y**4 + 2/7*y**3 - 1/7*y - 1/7*y**5 + 0 + 0*y**2.
-y*(y - 1)**2*(y + 1)**2/7
Let m(u) be the first derivative of 2/3*u**3 + 5000*u - 100*u**2 + 180. What is f in m(f) = 0?
50
Let q = 199063/11 + -398115/22. Let 0*t**3 - q*t**4 + 0*t + 5/2*t**2 - 2 = 0. Calculate t.
-2, -1, 1, 2
Let k(o) = 2*o**2 + 11*o - 9. Let f be k(1). Let r be ((-488)/1586)/(6/f - 2). Factor -2/13*y**3 - r*y**2 + 10/13*y + 0.
-2*y*(y - 1)*(y + 5)/13
Factor -122/7*b - 100/7 - 22/7*b**2.
-2*(b + 1)*(11*b + 50)/7
Let p(d) = 2*d**2 - 6*d - 5. Let v be p(-1). Factor 5*s**v + 21*s - 102 + 45*s**2 + 22 - 5*s + 14*s.
5*(s - 1)*(s + 2)*(s + 8)
Suppose -4 = -0*z - z + k, 5*z - k = 20. Suppose -3*m - 4*t + 25 = 8, -5*m + 7 = -z*t. Factor 2/15*y**m - 2/3 - 6/5*y - 2/5*y**2.
2*(y - 5)*(y + 1)**2/15
Let d be -10*(8/70 + 0)*-1687. Let r = d + -1926. Factor 0 + 0*v**3 + v - 1/2*v**4 + 3/2*v**r.
-v*(v - 2)*(v + 1)**2/2
Let v(w) be the second derivative of w**6/40 - 249*w**5/40 + 420*w**4 + 1764*w**3 + w + 194. Factor v(b).
3*b*(b - 84)**2*(b + 2)/4
Let t = -7/517 + 1139/7755. Let u(y) be the first derivative of 0*y - t*y**3 + 1/5*y**2 + 9. Factor u(i).
-2*i*(i - 1)/5
Factor -8*j**2 + 64386*j**5 + 46*j**4 + 8*j**2 + 240*j**3 - 64384*j**5.
2*j**3*(j + 8)*(j + 15)
Let i(t) = 13*t**4 - 110*t**3 + 800*t**2 - 1924*t. Let p(r) = 24*r**4 - 220*r**3 + 1600*r**2 - 3847*r. Let g(l) = -7*i(l) + 4*p(l). Solve g(f) = 0.
0, 6, 8
Suppose l + 0*l = 5*a - 45, 0 = -5*l. Find h, given that a*h**2 + 119 + 601 - 120*h - 4*h**2 = 0.
12
Let g(k) be the third derivative of -k**6/360 + 129*k**5/20 - 49923*k**4/8 + 6440067*k**3/2 - 2*k**2 + 673. Factor g(a).
-(a - 387)**3/3
Let p(t) = 9*t**3 + 32*t**2 + 58*t - 10. Let f(o) = o**3 + 2*o - 2. Let g be 3 - 10 - (1 + -9). Let m(x) = g*p(x) - 5*f(x). Factor m(i).
4*i*(i + 2)*(i + 6)
Let b(p) be the second derivative of 5/14*p**7 - 6*p**2 - 4 - 13/4*p**4 + 17/10*p**6 + 7*p - 8*p**3 + 33/20*p**5. Solve b(m) = 0 for m.
-2, -1, -2/5, 1
Factor 1 - 140*q + 200*q - 61*q + 6*q**2 - 1.
q*(6*q - 1)
Let l(o) be the first derivative of 4*o**5/5 - 10*o**4 + 68*o**3/3 + 56*o**2 + 6852. Fin