3*p**2 + 2/9*p**6 - 10. Factor y(w).
4*w*(w - 1)**3*(w + 1)/3
Let -145*u + u**5 + 43 - 52*u**2 - 12*u**4 + 38*u**3 - 141*u + 319*u - 51 = 0. What is u?
1, 8
Let b(d) be the third derivative of -d**8/20160 + d**7/5040 - d**5/30 + 5*d**3/3 - 83*d**2. Let x(m) be the third derivative of b(m). Factor x(w).
-w*(w - 1)
Let 4/5*i**4 + 1546/15*i + 94/3*i**3 + 598/5*i**2 + 14 = 0. What is i?
-35, -3, -1, -1/6
Let -298*f + 597/4*f**2 + 33 - 17/4*f**3 = 0. Calculate f.
2/17, 2, 33
Let c be 414/1620 + (-8)/36. Let j(a) be the second derivative of -c*a**3 + 0 + 0*a**2 + 1/60*a**4 - 25*a. Suppose j(w) = 0. Calculate w.
0, 1
Let k(p) be the first derivative of 177*p**4/16 - 796*p**3/3 + 14301*p**2/8 + 81*p/2 + 214. Suppose k(z) = 0. What is z?
-2/177, 9
Let x(p) = -p + 23. Suppose 10 + 7 = d. Let h be x(d). Find i, given that -22*i**3 + 2 + 7*i**3 - 6*i + 13*i**3 + 0*i + h*i**2 = 0.
1
Let b be 132/(-12) - (4 + -9). Let n be 7/(-91) + 855/130 + b. Solve -3/2*h - n*h**2 - 1 = 0 for h.
-2, -1
Let 758/3*l - 1/9*l**2 - 143641 = 0. Calculate l.
1137
Let d(j) = -j**2 - 7*j - 895*j**3 - 11*j**2 + 3 + 897*j**3. Let x be d(7). Let x + 4*y**2 - 4*y**4 + 4*y**2 - 56 = 0. Calculate y.
-1, 1
Let d be (-534)/623 + (-7 + 6 + 6 - (-58)/(-14)). Factor -94/7*h**2 + 96/7*h - 2/7*h**3 + d.
-2*h*(h - 1)*(h + 48)/7
Let g be 2/(-9)*6 + (-494)/(-78). Suppose -4*m + g*p - 17 = 0, -58*m - 12 = -54*m - 4*p. Suppose 1 + 3/2*b + 1/2*b**m = 0. What is b?
-2, -1
Let v(n) be the first derivative of 4*n - 194 + 1/7*n**4 + 30/7*n**2 + 12/7*n**3. Find f, given that v(f) = 0.
-7, -1
Let b = -553 - -557. Determine z, given that 0*z**4 + 6*z + b*z**3 + 5*z**2 - 2*z**4 + 0*z + 5*z**2 - 2*z**3 = 0.
-1, 0, 3
Let v = -13022 + 13024. Solve 14/13 - 2/13*u**3 + 2*u + 10/13*u**v = 0 for u.
-1, 7
Let y(i) be the third derivative of i**6/40 + 7*i**5/10 + 35*i**4/8 + 11*i**3 + 588*i**2. Factor y(s).
3*(s + 1)*(s + 2)*(s + 11)
Solve -178/5*d - 2/5*d**4 - 6/5*d**2 + 18/5*d**3 + 168/5 = 0 for d.
-3, 1, 4, 7
Solve -100 + 25/3*v**3 - 355/3*v - 65/6*v**2 + 5/6*v**4 = 0.
-10, -3, -1, 4
Let f(u) be the first derivative of 88/9*u**3 - 1/6*u**2 - 28/15*u**5 - 33 + 55/12*u**4 - 2*u. Let f(s) = 0. What is s?
-1, -2/7, 1/4, 3
Let f = 0 - -2. Let q = 14 - 10. Find y such that 2*y**q + 22*y**f - 2 - 10*y**2 + 8*y + 8*y**3 + 4 = 0.
-1
Suppose -32 = -3*u - u. Suppose -2*o - 54 = -3*a - 42, -16 = -4*a - 3*o. Determine x so that -a*x + u + 1/2*x**2 = 0.
4
Let o be 4*((2 - (-105)/(-20)) + 4). Factor -25*h**2 - 15*h**4 + h - 52990*h**o - h + 52945*h**3 + 5*h**5.
5*h**2*(h - 5)*(h + 1)**2
Let z be 2/((4/(-14))/((-21)/(-49))). Let g(t) = -3*t**3 - 60*t**2 - 225*t + 723. Let c(j) = 2*j - 1. Let o(p) = z*c(p) + g(p). Factor o(n).
-3*(n - 2)*(n + 11)**2
Let b(x) be the first derivative of 4*x**3/3 - 206*x**2 - 841. Let b(d) = 0. What is d?
0, 103
Let t(v) be the third derivative of 0*v + 56*v**2 - 7/156*v**4 - 1/390*v**5 + 0 + 8/39*v**3. Find d, given that t(d) = 0.
-8, 1
Let s(r) = -5*r**2 + 1. Let z(o) = 3*o**3 - 19*o**2 + 23*o + 17. Let y(b) = 7*s(b) - z(b). Factor y(h).
-(h + 1)**2*(3*h + 10)
Let z(c) = c**2 + 2*c - 14. Let a be z(4). Let -5*u - 45*u**2 - 45*u + 4*u**3 + 9*u**2 + a*u = 0. Calculate u.
-1, 0, 10
Let o(i) = 8*i**2 + 3*i. Let u(t) = t**2 - 4*t + 2. Let r be u(5). Let m(f) = -12*f**2 - 50*f + 139*f - 48*f - 46*f. Let v(g) = r*o(g) + 5*m(g). Factor v(k).
-4*k*(k + 1)
Factor 12*w**2 - 24*w + 2259*w**3 + 2263*w**3 - 4518*w**3 - 32.
4*(w - 2)*(w + 1)*(w + 4)
Let f(c) be the second derivative of -c**4/12 + 65*c**3/6 + 33*c**2 + 777*c. Factor f(q).
-(q - 66)*(q + 1)
Let d = -1064 - -1074. Suppose -15*w + d*w = -25. Factor 5/2*j**4 + 0 + 5*j - 5/2*j**2 - w*j**3.
5*j*(j - 2)*(j - 1)*(j + 1)/2
Let p(t) be the second derivative of -t**6/90 - 23*t**5/5 - 4897*t**4/9 - 12512*t**3/3 - 36992*t**2/3 + 592*t. Factor p(g).
-(g + 2)**2*(g + 136)**2/3
Let u(i) be the second derivative of 3*i**5/100 - 3*i**4/20 - 5*i**3/2 - 63*i**2/10 - 4969*i. Factor u(x).
3*(x - 7)*(x + 1)*(x + 3)/5
Let q be ((-14985)/(-945))/(-37) + 0 + (-6)/(-14). What is f in 2/9*f**5 + q*f + 0 + 2/3*f**2 - 2/9*f**3 - 2/3*f**4 = 0?
-1, 0, 1, 3
Determine s, given that 2*s**2 + 50/3 - 20*s + 4/3*s**3 = 0.
-5, 1, 5/2
Let h = -84313 - -843131/10. Factor -1/10*w**2 + h*w**4 + 0 - 1/5*w**3 + 1/5*w.
w*(w - 2)*(w - 1)*(w + 1)/10
Let b(t) be the third derivative of -t**9/173880 - t**8/19320 - t**4/8 - 8*t**3/3 + 21*t**2 - 1. Let y(i) be the second derivative of b(i). Factor y(l).
-2*l**3*(l + 4)/23
Suppose -3*a = -6 - 0. Factor -26*l**4 + 12*l**a - 16 - 16*l + 5*l**3 - 28*l**4 + 50*l**4 + 3*l**3.
-4*(l - 2)**2*(l + 1)**2
Let h(n) be the second derivative of 11*n - 2/15*n**6 - 14/5*n**5 - 12*n**4 + 4 - 22*n**2 - 68/3*n**3. Let h(z) = 0. What is z?
-11, -1
Let q(v) = 2*v**3 - 17*v**2 + 12*v - 17. Let i be (-36)/(-5) + 8*2/20. Let k be q(i). Factor 2*c - 4*c + k - 3*c**2 + 7*c + 7*c.
-3*(c - 5)*(c + 1)
Let r(z) = z**4 + z**3. Let b(a) = 11*a**4 + 26*a**3 - 10*a**2 - 60*a + 45. Let f(s) = -13*s + 142. Let q be f(11). Let t(o) = q*b(o) + 6*r(o). Factor t(g).
-5*(g - 1)**2*(g + 3)**2
Let p(j) = j**3 + 26*j**2 + 70*j + 78. Let l be p(-24). Let o be l/125*(-10)/8. Solve 0 + 3/2*m**5 - 3*m + 3/2*m**3 + o*m**2 - 9/2*m**4 = 0.
-1, 0, 1, 2
Let s(f) be the second derivative of 10/3*f**3 + 35*f - 25/12*f**4 + 0 + 5/2*f**2. Factor s(h).
-5*(h - 1)*(5*h + 1)
Let z be ((-266)/76)/((-7)/6). Let q(s) be the first derivative of 0*s + 1/35*s**5 - 2/21*s**z - 5 + 0*s**2 - 1/28*s**4. Suppose q(i) = 0. What is i?
-1, 0, 2
Let t(c) be the first derivative of -c**3/15 + 397*c**2/10 - 396*c/5 - 3386. Find x such that t(x) = 0.
1, 396
Factor -2*x**2 + 8151/2*x + 1019.
-(x - 2038)*(4*x + 1)/2
Let q(t) = -5*t**2 + 1766*t - 779681. Let l(g) = 4*g**2 - 8. Let c(v) = 5*l(v) + 5*q(v). Solve c(o) = 0.
883
Solve 38*g + 413*g + 118098 + 419*g - 115*g + 2*g**2 + 217*g = 0.
-243
Let i(o) = 22*o**3 - 53*o**2 + 239*o + 671. Let h(r) = 70*r**3 - 160*r**2 + 718*r + 2012. Let b(n) = -5*h(n) + 16*i(n). Factor b(y).
2*(y - 13)**2*(y + 2)
Let l(r) = -r**3 + 14*r**2 - 24*r + 5. Suppose -8*d + 54 = -42. Let w be l(d). Factor -55*q**3 + 0 - 200/3*q**2 - 80/3*q - 5/3*q**w - 50/3*q**4.
-5*q*(q + 1)**2*(q + 4)**2/3
Let x = -45 + 58. Suppose 5*f - 17 = x. Let -6*a - f*a + 6*a + 4 - 14*a**2 + 10*a**4 + 6*a**3 = 0. Calculate a.
-1, 2/5, 1
Suppose 188*a**2 - 93*a**3 + 377*a**3 + 84*a**4 + 257*a + 4*a**5 - 545*a - 272 = 0. Calculate a.
-17, -2, -1, 1
Let h(o) = 8*o**3. Let d = 1 - 0. Let a(i) = i**3. Let c = -260 - -256. Let m(v) = c*a(v) + d*h(v). Suppose m(b) = 0. Calculate b.
0
Let b = 111918 - 111914. Suppose -1/2*p**b - 23/4*p**2 - 13/4*p**3 - 3/4*p + 9/4 = 0. What is p?
-3, -1, 1/2
Let q = 590 + -588. Let -106 + 88*h - 20*h**q - 24*h**2 - 378 + 40*h**2 = 0. What is h?
11
Let c(g) be the second derivative of g**5/50 + 41*g**4/15 + 161*g**3/15 + 16*g**2 - 2010*g + 2. Let c(d) = 0. Calculate d.
-80, -1
Factor -190 + 3*b - 194 - 9*b - b + 390 + b**2.
(b - 6)*(b - 1)
Let o(l) = -21*l**3 + 447*l**2 - 939*l + 369. Let f(b) = 3*b**3 - 64*b**2 + 134*b - 53. Let c(y) = -36*f(y) - 5*o(y). Determine t, given that c(t) = 0.
1, 21
Solve -8/9*q**5 - 76/9*q**4 - 236/9*q**2 - 68/3*q**3 - 124/9*q - 8/3 = 0.
-6, -1, -1/2
Suppose 4044/7*n**2 - 4600/7*n - 8464/7 + 26*n**3 + 2/7*n**4 = 0. What is n?
-46, -1, 2
Let s(u) = u**2 - 10*u - 20. Let b be s(15). Let n = b + -35. Let -n*q + 10*q**2 + 3*q**3 - 3 + 17*q**3 - 12 + 5*q**4 = 0. Calculate q.
-3, -1, 1
Let k(j) be the second derivative of -j**5/4 - 30*j**4 + 5*j**3/6 + 180*j**2 + 576*j + 2. Determine o so that k(o) = 0.
-72, -1, 1
Determine w, given that -4/3*w**2 - 2912/3 - 92*w = 0.
-56, -13
Let g be (6/5)/(9*(-3)/(-90)). Factor u**2 + 23*u**2 - 18*u**3 - 27 + 3*u**g - 5*u + 23*u.
3*(u - 3)**2*(u - 1)*(u + 1)
Let n be ((-10773)/2520)/((-1)/5). Let s = n + -1165/56. Determine v, given that -8/7*v**2 - 10/7*v - s - 2/7*v**3 = 0.
-2, -1
Let z be 114/135 - 2/5. Let g be 5429/3204 - 30/24. Factor 1/9*d**5 - 2/9*d**4 + 0 - 1/3*d**3 + z*d**2 + g*d.
d*(d - 2)**2*(d + 1)**2/9
Let j(v) = -40*v**2 - 416*v + 456. Let a(h) = -10 - 11*h - 34*h - 17*h - 14*h**2 - 76*h + 162. Let o(p) = -14*a(p) + 5*j(p). Factor o(g).
-4*(g - 1)*(g + 38)
Let a(v) be the first derivative of -3*v**4/28 - 6*v**3/7 + 270*v*