- 21*v**3 + 4488*v. Find w such that l(w) = 0.
-2, 0, 2, 21
Let f be 93/(-868) - 6/72*-3. Factor -s**2 + 0 - f*s.
-s*(7*s + 1)/7
Factor 105/2 + 39/2*v**2 + 3/2*v**3 + 141/2*v.
3*(v + 1)*(v + 5)*(v + 7)/2
Let t(b) = 702*b + 19658. Let z be t(-28). Let -36*j + 108/5 + 3/5*j**4 + 6*j**3 + 39/5*j**z = 0. Calculate j.
-6, 1
Let y(k) be the second derivative of -k**5/10 - 2*k**4 - 11*k**3/3 - 7927*k. Factor y(h).
-2*h*(h + 1)*(h + 11)
Let i(q) = -q**2 + 113*q + 603. Let r(h) = -h**2 - 112*h - 602. Let x(l) = 2*i(l) + 3*r(l). Factor x(m).
-5*(m + 10)*(m + 12)
Let g(y) be the second derivative of -2*y**2 - 1/80*y**5 + 152*y - 5/48*y**4 + 0 + 11/12*y**3. Determine f, given that g(f) = 0.
-8, 1, 2
Let g(u) be the second derivative of u**4/8 + 9*u**3/2 - 30*u**2 - 63*u. Find k such that g(k) = 0.
-20, 2
Let l be -5 + -11*(-17)/34. Let z(t) be the second derivative of -1/9*t**3 - 1/36*t**4 + 0 + 18*t + l*t**2. Factor z(x).
-(x - 1)*(x + 3)/3
Let h(x) be the second derivative of x**7/1120 - x**6/480 - 3*x**5/80 - 3*x**3 - x**2 + 169*x. Let b(o) be the second derivative of h(o). Factor b(j).
3*j*(j - 3)*(j + 2)/4
Let z(u) = 21858*u + 131152. Let r be z(-6). Find y, given that -40/7*y**2 - 26/21*y**3 - 128/21 - 2/21*y**r - 32/3*y = 0.
-4, -1
Let g(k) = 1392*k + 1392. Let o be g(-1). What is s in 2/3*s**2 - 2/3*s**4 - 4/9*s + o - 10/9*s**5 + 14/9*s**3 = 0?
-1, 0, 2/5, 1
Suppose 44 = 4*b + 268. Let u be (-6)/(-21) + (-5360)/b. Factor -6*g**4 - 96*g**3 + 3*g + u*g**3 - 3*g**5 + 6*g**2.
-3*g*(g - 1)*(g + 1)**3
Suppose -k = -3*f + 19, -3*f + 20 = -2*k - 3. Factor -25*y**4 + 61*y + 21*y - 42*y - 5*y**f + 20*y**2 - 30*y**3.
-5*y*(y - 1)*(y + 2)**3
Let s be (1 - ((-365)/1533 + (-4)/(-3)))/(-1). Solve 722/21 + s*w**2 - 76/21*w = 0 for w.
19
Let r(l) be the first derivative of -l**5/100 - l**4/10 - l**3/6 - 16*l + 101. Let h(z) be the first derivative of r(z). Factor h(n).
-n*(n + 1)*(n + 5)/5
Let c be (1*(4180/114 + -36))/(1/((-12)/(-7))). What is x in 4/7*x**3 - c*x**2 + 8/7 - 4/7*x = 0?
-1, 1, 2
Let p(d) = -d + 1. Let l be p(1). Suppose -6*s - 9*s + 30 = l. Determine g so that -5/9*g**3 + 19/9*g - 2/3 - 8/9*g**s = 0.
-3, 2/5, 1
Let a(m) be the third derivative of m**5/60 - 13*m**4/24 - 23*m**3/3 - 19*m**2. Let y be a(16). Find f such that f**2 + y - 2 + 6 + 7*f + 0*f**2 = 0.
-6, -1
Let a be 584/(-803) - (-30)/11. Let d(q) be the second derivative of 0 - 16/15*q**3 - 1/15*q**4 - 24/5*q**a - 8*q. Factor d(m).
-4*(m + 2)*(m + 6)/5
Factor -20/3*x**2 + 0 - 2/3*x**5 - 2*x - 4*x**4 - 8*x**3.
-2*x*(x + 1)**3*(x + 3)/3
Let d(j) = -2*j**4 + 6*j**3 - 17*j**2 - 46*j + 19. Let c(y) = 3*y**4 - 9*y**3 + 22*y**2 + 69*y - 29. Let s(p) = 5*c(p) + 7*d(p). Factor s(q).
(q - 4)*(q - 1)**2*(q + 3)
Let g(o) be the first derivative of 3/8*o**4 + 3/10*o**5 + 0*o**3 + 0*o + 0*o**2 + 43. Let g(z) = 0. What is z?
-1, 0
Let v(u) = 8*u**2 - 760*u + 740. Let g(s) = 2*s**2 - 4*s. Let l(c) = -6*g(c) + v(c). Factor l(i).
-4*(i - 1)*(i + 185)
Factor 2*p**3 + 13779*p - 17*p**2 - 133*p**2 - 6579*p - 90*p**2.
2*p*(p - 60)**2
Let q(m) be the first derivative of 5*m**3/9 - 340*m**2/3 - 1246. Let q(l) = 0. What is l?
0, 136
Let q be (-4296)/(-462) + 31252/4207. Determine m, given that -4232/11 - 2/11*m**2 - q*m = 0.
-46
Let g(p) be the first derivative of 16/9*p + 2/3*p**2 + 2/27*p**3 - 143. Determine f so that g(f) = 0.
-4, -2
Let z(h) = 24*h - 87. Let q be z(8). What is a in 5*a + q*a**2 + 53*a - 103*a**2 + 56 = 0?
-28, -1
What is g in -3146/17 - 2512/17*g**2 - 6/17*g**4 - 10252/17*g - 212/17*g**3 = 0?
-13, -11, -1/3
Solve 44 + 218/5*b**2 + 439/5*b - 1/5*b**3 = 0.
-1, 220
Determine b, given that -1382*b + 3089*b + 258*b**2 - 520 - 2*b**3 - 1443*b = 0.
-2, 1, 130
Let s be (-1)/4 + 286/120. Let j = 1228698/5 - 3686078/15. Factor -2/15*b**2 - s + j*b.
-2*(b - 4)**2/15
Suppose 5*v - 3*z - 19 = -z - 11, 0 = -2*v + 4*z. Let -9/4*i - 1/2 - 7/4*i**v = 0. What is i?
-1, -2/7
Let a(l) be the first derivative of -l**8/560 - l**7/140 - l**6/120 - 22*l**3/3 + 10. Let g(i) be the third derivative of a(i). Factor g(z).
-3*z**2*(z + 1)**2
Let q(d) be the second derivative of d**4/8 - 1163*d**3 + 4057707*d**2 + d + 4808. Factor q(w).
3*(w - 2326)**2/2
Let z(p) be the third derivative of -p**5/390 + 7*p**4/39 + 255*p**3/13 + 18*p**2 - 6*p + 1. Factor z(w).
-2*(w - 45)*(w + 17)/13
Let s(i) = -25*i**2 - 60*i - 35. Let m(p) = -34*p + 2*p**2 - 1 - 6*p**2 + 5*p**2 + 34*p. Let y(c) = -30*m(c) - s(c). Suppose y(o) = 0. Calculate o.
-1, 13
Let b(k) be the third derivative of 151*k**2 - 1/12*k**5 + 0 + 0*k + 5/4*k**4 + 0*k**3. Let b(j) = 0. Calculate j.
0, 6
Suppose -4*z - 2 = -2*m, 5*m + 4*z - 33 = -0*z. Suppose 0 = 8*a - m*a - 3. Factor 3*f**2 - 9 - a + 7.
3*(f - 1)*(f + 1)
Suppose -10 = -5*j - r, 0 = -5*j - 4*r - 5. Suppose j*t = -5*f + 11 + 10, 4*f - 22 = -5*t. Factor 45*z**f - 5*z**4 + 10*z**4 + 39*z**2 + 36*z**2 - 125*z.
5*z*(z - 1)*(z + 5)**2
Let w = 34058 - 34056. Solve 0 - 1/2*y**w + 5/2*y = 0.
0, 5
Suppose -2*h + f = -31, -4*f + 32 = 2*h + 2*h. Suppose -8*t + h*t = 25. Suppose -4/3*p**4 + 0*p**3 + 4/3*p**2 - 2/3*p**t + 2/3*p + 0 = 0. Calculate p.
-1, 0, 1
Let m(z) be the third derivative of 7/240*z**5 + 9*z + 0*z**3 - 4*z**2 - 1/480*z**6 - 5/48*z**4 + 0. Factor m(b).
-b*(b - 5)*(b - 2)/4
Let j = 180829/210 + -743/42. Let c = j - 843. Determine s so that -3/10*s + c*s**2 - 1/10 = 0.
-1/4, 1
Let l(c) = -c - 15. Let d be l(-17). Let f(v) be the first derivative of v**d - v**2 - v**3 + 0*v**3 + 38. Solve f(s) = 0.
0
Solve 7*h**3 - 13185*h - 5*h**3 + 4735*h + 0*h**3 - 4*h**3 + 260*h**2 = 0.
0, 65
Let w(k) be the second derivative of -k**5/5 - 55*k**4/3 + 116*k**3/3 + 224*k**2 - 161*k. Let w(o) = 0. Calculate o.
-56, -1, 2
Let a = 2741 + -2739. Let d(n) be the second derivative of 19*n + 0 - 1/70*n**7 + 0*n**a - 1/25*n**6 + 1/5*n**4 - 2/5*n**3 + 9/100*n**5. Factor d(m).
-3*m*(m - 1)**2*(m + 2)**2/5
Factor -28/3 + 86/9*f - 2/9*f**2.
-2*(f - 42)*(f - 1)/9
Suppose 23 = 160*k - 297. Factor -k - 1/4*q**4 + 3/2*q**2 + 1/4*q**3 - q.
-(q - 2)**2*(q + 1)*(q + 2)/4
Suppose -104*d + 126 + 82 = 0. Solve -26/3*k**d + 2/3*k**3 + 0 + 0*k = 0.
0, 13
Let j = 167 + -151. Factor 10*y**4 - j*y**2 + 14*y**3 - 4137 + 4137 - 8*y.
2*y*(y - 1)*(y + 2)*(5*y + 2)
Let h = 7667755/7 - 1095391. Solve 78/7*p**2 + 0 + h*p**4 - 36/7*p - 58/7*p**3 - 2/7*p**5 = 0.
0, 1, 2, 3
Let j(r) = -4*r**3 - 10*r**2 + 73*r - 56. Let s(a) = 116*a**3 + 288*a**2 - 2116*a + 1624. Let f(z) = -88*j(z) - 3*s(z). Factor f(t).
4*(t - 2)*(t - 1)*(t + 7)
Let r(h) be the third derivative of h**6/660 + 52*h**5/165 + 103*h**4/132 - 7*h**2 - 193. What is c in r(c) = 0?
-103, -1, 0
Let z be (143/22 + -7)*-3. Factor 2883/2 + z*c**2 - 93*c.
3*(c - 31)**2/2
Let h(o) be the third derivative of -11*o**5/20 + 39*o**4/8 + 61*o**3 - 6394*o**2. Determine z so that h(z) = 0.
-2, 61/11
Let x(q) = -136*q**3 - 81*q**2 - 95*q - 31. Let s(u) = 77*u**3 + 41*u**2 + 48*u + 16. Let p(i) = 7*s(i) + 4*x(i). Factor p(h).
-(h + 1)*(h + 6)*(5*h + 2)
Suppose 0*j - 10/3*j**2 - 3*j**3 + 0 + 1/3*j**4 = 0. Calculate j.
-1, 0, 10
Let n = 20 + -18. Let o be (-10)/15 + 0 + 460/330. Find k, given that -1/11*k**5 + o*k**4 - 24/11*k**3 + 0 - 16/11*k + 32/11*k**n = 0.
0, 2
Let u(r) be the first derivative of 22 - 5/114*r**4 - 6/95*r**5 + 0*r**2 + 2/57*r**3 - 21*r. Let g(m) be the first derivative of u(m). Let g(s) = 0. What is s?
-2/3, 0, 1/4
Let o = 397 - 377. Let t be (-29)/(-6) + o/30. Factor -8*b + 9/2*b**3 + t*b**2 - 2.
(b - 1)*(b + 2)*(9*b + 2)/2
Factor 5/3*l**2 + 23/6*l + 2 - 1/6*l**3.
-(l - 12)*(l + 1)**2/6
Factor 288*d**3 - 3979*d**2 - 51727 + 8*d**4 - 13809 - 12*d**4 - 599*d**2 - 1630*d**2 + 36864*d.
-4*(d - 32)**2*(d - 4)**2
Let g(d) be the first derivative of d**6/480 + d**5/32 + 3*d**4/16 + 9*d**3 - d**2/2 - 55. Let j(r) be the third derivative of g(r). Factor j(u).
3*(u + 2)*(u + 3)/4
Factor 444*v**2 + 133 + 143*v**5 + 14*v**4 + 34*v**4 + 363*v + 138*v**5 + 234*v**3 - 25 - 278*v**5.
3*(v + 1)**3*(v + 4)*(v + 9)
Factor -231*x**2 - 514*x**2 + 505*x**4 - 1485*x**3 + 5*x**5 - 409*x**4 - 831*x**4.
5*x**2*(x - 149)*(x + 1)**2
Suppose -2*d = 34 - 268. Suppose -9*r + d - 90 = 0. Determine c so that 3/2*c + 2/3*c**5 - 13/6*c**r - 1/3 + 1/2*c**4 - 1/6*c**2 = 0.
-2, -1, 1/4, 1
Let k(u) be the third derivative of -11