c(w) = -12*g(w) + 5*t(w). Factor c(y).
-3*(y + 1)*(y + 2)*(y + 169)
Factor -353/3 + 1/3*u**2 + 352/3*u.
(u - 1)*(u + 353)/3
Suppose -864/5 + 2/5*d**3 - 116/5*d**2 + 978/5*d = 0. What is d?
1, 9, 48
Let s be ((-10)/2340*-13)/((-2)/(-4)). Let a(m) be the second derivative of s*m**2 + 0 + 1/54*m**4 + 2/27*m**3 + m. Factor a(k).
2*(k + 1)**2/9
Let k(x) be the second derivative of 3*x**5/20 + 33*x**4/4 + 255*x**3/2 - 867*x**2/2 + 538*x - 2. Factor k(f).
3*(f - 1)*(f + 17)**2
Let y(j) be the second derivative of -4/3*j**3 + 23/9*j**4 + 0 - 39*j - 24*j**2 - 13/30*j**5 + 1/45*j**6. Solve y(m) = 0 for m.
-1, 2, 6
Factor 24/7*b + 0 + 38/7*b**2 + 5/7*b**3 - 4/7*b**4.
-b*(b - 4)*(b + 2)*(4*b + 3)/7
Let z(o) be the first derivative of -o**6/42 + 7*o**5/5 + 107*o**4/14 - 94*o**3/21 - 645*o**2/14 + 477*o/7 + 868. Determine j so that z(j) = 0.
-3, 1, 53
Let n(x) = x**3 - 2*x**2 + 2*x + 22. Let h be n(0). Let g be h/(-33) - (2 + (-30)/9). Find i, given that g - i + 1/3*i**2 = 0.
1, 2
Solve -405/8 - 5295/8*y**2 - 1800*y**4 - 27/2*y**5 - 4053/8*y + 24261/8*y**3 = 0 for y.
-135, -1/6, 1
Let t = -174385/2 + 87193. Factor 3/2*x**2 + t*x**4 - 3*x**3 + 0 + 5*x.
x*(x - 5)*(x - 2)*(x + 1)/2
Let k = -3792 + 8939/2. Let t = k - 673. Determine w so that 0 - 9/2*w**2 + w**3 - w + t*w**4 = 0.
-1, -2/9, 0, 1
Suppose 0 = 5*m - 4 - 81. Suppose 47*y**3 + m*y**3 - 9*y**2 - 8*y**4 - 47*y**2 + 9*y - 12*y**5 + 3*y = 0. What is y?
-3, 0, 1/3, 1
Let o = 235/3 + -1787/15. Let v = 41 + o. Determine w so that v*w + 2/5*w**4 + 2/5 - 4/5*w**2 + 1/5*w**5 - 2/5*w**3 = 0.
-2, -1, 1
Suppose -4*f = 2*u - 8, -3*u + 16 = u - 2*f. Suppose z + k = 4*k + 6, -2*k - 4 = u*z. Determine p, given that 2/17*p**3 + 6/17*p**4 + z + 0*p + 0*p**2 = 0.
-1/3, 0
Factor -28*a**3 + 29*a + 57*a - 4559 - 3*a**2 + a**4 - 4486 + 8989.
(a - 28)*(a - 1)**2*(a + 2)
Let v(f) be the second derivative of -f**6/75 - 9*f**5/25 + 9*f**4/10 + 28*f**3/3 - 228*f**2/5 - 2961*f. Determine c so that v(c) = 0.
-19, -3, 2
Let u(g) be the second derivative of g**6/6 + 3*g**5/2 - 5*g**4/4 - 40*g**3/3 + 30*g**2 + 641*g + 2. Determine z so that u(z) = 0.
-6, -2, 1
Let h(z) be the third derivative of z**6/420 - 22*z**5/105 + 25*z**4/4 - 42*z**3 - z**2 - 743. Factor h(k).
2*(k - 21)**2*(k - 2)/7
Let i be 4/28 - (-913)/77. Solve 47*n**4 - 100*n**2 - 16*n**4 - i*n**4 + n**5 - 80*n**3 - 2*n**5 = 0 for n.
-1, 0, 10
Let h be 1/1 + (1 + (-72)/54 - 0). Suppose 1/3 - 2/3*b**3 + b - 1/3*b**5 - b**4 + h*b**2 = 0. Calculate b.
-1, 1
Let r(s) be the second derivative of -1/24*s**3 + 1/80*s**5 + 1/8*s**4 + 0 - 3/4*s**2 + 37*s. Factor r(w).
(w - 1)*(w + 1)*(w + 6)/4
Factor 20135858 - 3677*n + 3958*n - 4183*n - 4484*n - 4306*n + 2*n**2.
2*(n - 3173)**2
Let u(q) be the first derivative of 306 - 47/10*q**2 + 1/15*q**3 + 46/5*q. Determine y so that u(y) = 0.
1, 46
Let j(l) = -2*l**3 - 10*l**2 + 99*l - 10. Let p be j(-10). Let r(i) be the first derivative of -23 + p*i + 2/3*i**3 + 0*i**2 - 1/2*i**4. Solve r(k) = 0 for k.
0, 1
Suppose 35/4*r**2 + 9 + 18*r - 1/4*r**4 - 1/2*r**3 = 0. What is r?
-6, -1, 6
Let p(k) be the first derivative of 22 - 1/36*k**5 + 0*k - 10*k**2 + 0*k**4 + 0*k**3. Let s(j) be the second derivative of p(j). Solve s(d) = 0.
0
Let r(u) be the first derivative of -2*u**5/35 - 5*u**4/14 + 22*u**3/7 - 27*u**2/7 + 3303. Suppose r(i) = 0. What is i?
-9, 0, 1, 3
Let r = -7 + 8. Let s(h) = h + 3 + r - 5 - h**2. Let a(f) = -16*f**2 + 4*f - 12. Let o(c) = a(c) - 12*s(c). Determine l, given that o(l) = 0.
-2, 0
Let p(g) be the third derivative of -g**7/210 - g**6/120 + 3*g**5/20 + 3*g**4/8 - 2602*g**2. Find u, given that p(u) = 0.
-3, -1, 0, 3
Factor 312987/2*n**2 + 3876*n + 24.
3*(323*n + 4)**2/2
Factor 494*q - 717 + 72 - 3*q**2 + 154*q.
-3*(q - 215)*(q - 1)
Let b(a) = -13*a**4 - 23*a**3 - 194*a**2 - 220*a - 6. Let x(t) = -3*t**4 + 2*t**3 + t**2 - 1. Let v(w) = b(w) - 6*x(w). Factor v(f).
5*f*(f - 11)*(f + 2)**2
Let b be (-40 - -2)/(0 + (-4)/(-118)). Let u = 5607/5 + b. Factor -u*h**3 + 3/5*h**2 - 2/5 + 3/5*h.
-(h - 2)*(h + 1)*(2*h - 1)/5
Let j(d) be the second derivative of 142*d - 63/4*d**2 + 0 + d**3 + 1/8*d**4. Factor j(n).
3*(n - 3)*(n + 7)/2
Let r be 77 + 83460/(-1092) + 118/(-84) + 1. Let f = -87 + 523/6. Factor -f*o + r*o**2 + 0.
o*(o - 1)/6
Let c = 419 + -416. Factor 7*o**3 + 13*o + 5*o**3 - 2 - 1 + 5*o**4 - 15*o**2 - 13*o**c + 1.
(o - 1)**2*(o + 2)*(5*o - 1)
Let v = 5480 + -5480. Let h(u) be the third derivative of 1/240*u**6 + 1/24*u**4 - 1/40*u**5 + 0*u - 7*u**2 + v*u**3 + 0. Determine z so that h(z) = 0.
0, 1, 2
Let f = -1176 + 1184. Suppose 3*p + u = f, p + 0 = 5*u - 8. Determine w, given that 0 - 1/4*w**p + 3/4*w**3 - 3/4*w + 1/4*w**4 = 0.
-3, -1, 0, 1
Suppose -2*n + 16 = -2*l, -l - 2*n - 3*n - 38 = 0. Let y be (1 + 4)*l/(-13). Suppose -406*u**3 - 2*u**y + 406*u**3 + 2*u**4 = 0. Calculate u.
0, 1
Let t = 118 + -101. Determine r, given that -24*r**4 + 6*r**4 + 36*r + 3*r**3 + 13*r**4 + t*r**4 - 3*r**5 - 48*r**2 = 0.
-2, 0, 1, 2, 3
Let o(z) = -6 + 7*z**2 + 31 - 16 + 99 + 40*z. Let x(y) = 15*y**2 + 81*y + 216. Let j be 1 - 1 - -1*9. Let m(r) = j*o(r) - 4*x(r). Let m(u) = 0. Calculate u.
-6
Factor -165*m**4 - 208*m - 421*m**2 + 45*m**2 + 240*m**4 - 8*m**5 - 252*m**3 - 149*m**4.
-2*m*(m + 2)**3*(4*m + 13)
Let o(p) = -11*p - 104. Let z be o(-22). Let c = z + -135. Factor 13/6*y**c + 17/6*y - 1/3 - 14/3*y**2.
(y - 1)**2*(13*y - 2)/6
Let -c**2 + 73 + 69*c - 22*c + 8*c + 17*c = 0. Calculate c.
-1, 73
Let b(m) be the second derivative of m**5/100 - 27*m**4/20 + 39*m**3/5 + 755*m. Let b(o) = 0. Calculate o.
0, 3, 78
Let a = 35053 + -455681/13. Let c(d) be the first derivative of -a*d**2 + 2/65*d**5 + 28 - 4/13*d**3 - 6/13*d + 0*d**4. Let c(j) = 0. Calculate j.
-1, 3
Let o(u) be the second derivative of -u**5/60 - 13*u**4/18 - 49*u**3/18 - 4*u**2 + 7*u + 10. Suppose o(d) = 0. Calculate d.
-24, -1
Find v such that 5*v**2 + 3/2*v**4 - 4/3*v + 0 - 31/6*v**3 = 0.
0, 4/9, 1, 2
Let c(h) be the second derivative of h**6/80 + h**5/15 + h**4/12 - 61*h**2/2 + 23*h - 2. Let g(w) be the first derivative of c(w). Suppose g(r) = 0. What is r?
-2, -2/3, 0
Factor -946*t**3 + 60 + 293*t + 957*t**3 + 4*t**4 - 5*t**4 + 165*t**2 - 27 + 107.
-(t - 20)*(t + 1)**2*(t + 7)
Let c(x) be the first derivative of x**5/30 + 1021*x**4/12 + 1044481*x**3/18 + 173570*x**2 + 173400*x - 2621. What is o in c(o) = 0?
-1020, -1
Let o(v) be the first derivative of v**5/10 - 3*v**4/8 - 5*v**3/6 + 3*v**2/4 + 2*v + 3269. Factor o(q).
(q - 4)*(q - 1)*(q + 1)**2/2
Let h(i) be the third derivative of i**8/672 + i**7/210 - 13*i**6/240 - 7*i**5/60 + i**4/2 + 4*i**2 - 99. Solve h(c) = 0.
-4, -2, 0, 1, 3
Let v(x) be the second derivative of 2*x**6/35 - 171*x**5/140 - 45*x**4/28 - 3*x + 714. Factor v(p).
3*p**2*(p - 15)*(4*p + 3)/7
Let o = -739 + 2403. Find g such that 5 + 3 - 22*g - 4 + 11*g**2 - o*g**4 - 131*g**2 + 992*g**3 = 0.
-2/13, 1/4
Let b(d) be the third derivative of -2 - 92*d**2 - 3/64*d**4 + 1/160*d**5 + 0*d**3 + 0*d. Factor b(k).
3*k*(k - 3)/8
Let c(g) = g**3 - 34*g**2 - 31*g - 38. Let b be c(35). Suppose -22*o = 29*o - b. Find i, given that -12/5 - 16/5*i + 28/5*i**o = 0.
-3/7, 1
Suppose -4*i = -u - 3*i + 14, -4*u - 3*i + 63 = 0. Suppose u = 4*h + 3. Find f, given that 6*f**2 - 7*f**5 + 87*f**h + 9*f**4 - 62*f**3 + 7*f**4 - 4*f**4 = 0.
-1, -2/7, 0, 3
Let a = 24602 - 24600. Let s(o) be the second derivative of 0 - 28*o - 1/13*o**3 + 0*o**a + 1/78*o**4. Find v such that s(v) = 0.
0, 3
Let o(q) be the first derivative of -1/24*q**4 + 22 - 1/6*q**3 - 1/6*q**2 + 0*q. Factor o(y).
-y*(y + 1)*(y + 2)/6
Find a, given that -1440*a**2 - 1124*a**5 + 825*a**3 - 50*a**4 - 6140*a + 1125*a**5 + 16140*a - 657*a**2 - 2903*a**2 = 0.
0, 5, 20
Let b(q) = 28*q**3 + 328*q**2 + 188*q - 88. Let z(w) = w. Let k(c) = -b(c) - 24*z(c). Factor k(s).
-4*(s + 1)*(s + 11)*(7*s - 2)
Let q(f) be the third derivative of 19/18*f**4 + 0 - 2*f - 361/9*f**3 - 1/90*f**5 + 73*f**2. Let q(n) = 0. Calculate n.
19
Let r be 3543/7 + 5 + 348/(-84). Factor r*n**3 + 40*n + 4*n**4 - 258*n**3 - 52*n**2 - 241*n**3.
4*n*(n - 2)*(n - 1)*(n + 5)
Let o = -17801/5 - -3575. Let n = o + -596/45. Determine h, given that -4/9*h**2 + n*h**3 + 0 - 10/9*h**4 + 0*h = 0.
0, 2/5, 1
Let k be ((-6)/(-18))/(2 + 330/(-270)). What is g in 48/7*g 