*f**3 - 177 - 55*f**4 = 0. What is f?
-3, -1, 3/4
Let b(t) be the first derivative of 3*t**5/10 - 3*t**4/2 + 3*t**3/2 + 728. Suppose b(m) = 0. Calculate m.
0, 1, 3
Factor 24*n**4 - 1/2*n**3 + 0 - 24*n**2 + 1/2*n.
n*(n - 1)*(n + 1)*(48*n - 1)/2
Suppose -4*l + 2*y = -16, -5*y = 8*l - 12*l + 28. Suppose 2 + 0 = l*o, -w = -o + 1. Let -2/5*z**2 + 0*z + w - 2/5*z**3 = 0. Calculate z.
-1, 0
Let p = -30505 + 30507. Let h(w) be the first derivative of 0*w**3 - 1/4*w**4 - 2*w + 42 + 3/2*w**p. Factor h(i).
-(i - 1)**2*(i + 2)
Let j(h) be the second derivative of h**8/420 + h**7/70 - 2*h**5/15 + 10*h**3 + 2*h - 74. Let t(c) be the second derivative of j(c). Factor t(s).
4*s*(s - 1)*(s + 2)**2
Factor 189 + 128 - 113 + 52*r**2 - 340*r - 94*r.
2*(2*r - 1)*(13*r - 102)
Let s be 19 + (6 - (-101235)/(-4050)). Let y(o) be the second derivative of 17/54*o**3 + 1/3*o**2 - 11*o + 0 - s*o**6 + 5/36*o**4 + 1/60*o**5. Factor y(r).
-(r - 6)*(r + 1)**3/9
Let o(a) be the second derivative of -1/195*a**6 + 7/65*a**5 + 4/3*a**3 - 15/26*a**4 - 20/13*a**2 + 242*a + 0. Let o(b) = 0. Calculate b.
1, 2, 10
Let c be 1 - (4/(-3) - (-520)/(-15)). Find h such that -8 - 112*h**2 - 21 + 268*h - 1 + 113*h + c*h**2 = 0.
2/25, 5
Let j(o) = -2*o + 42. Let h be j(9). Suppose 7*v = v + h. Suppose 5*m**3 + 5*m**4 - 20 - v*m**2 - 40*m + 5*m**3 - 11*m**2 = 0. What is m?
-2, -1, 2
Factor -111*s**2 - 4038*s + 1651728 + 238*s**2 - 124*s**2 - 292941.
3*(s - 673)**2
Let w(h) = 2*h**3 - 2*h**2 - h + 2. Let q(l) = -3*l**3 + 30*l**2 - 53*l + 24. Let g(a) = -q(a) - 2*w(a). Factor g(i).
-(i - 1)**2*(i + 28)
Let -972196*a - 4/3*a**3 - 1972*a**2 - 479292628/3 = 0. Calculate a.
-493
Suppose -5*u - 30*u = -14526 + 14421. Factor -4/3*x**4 + 10/3*x**2 - 1/3*x**u - 1/3*x**5 + 4/3*x - 8/3.
-(x - 1)**2*(x + 2)**3/3
Let j(n) be the second derivative of n**8/560 - n**3/3 + 5*n**2/2 - 80*n. Let b(i) be the second derivative of j(i). Determine w, given that b(w) = 0.
0
Let y = 3163901/2 + -1581943. Factor 0*w**2 + 0*w - y*w**4 + 0 - 9*w**3 + 3/2*w**5.
3*w**3*(w - 6)*(w + 1)/2
Factor 0*g + 0 + 2/17*g**3 - 8/17*g**2.
2*g**2*(g - 4)/17
Suppose 1524/7*i**4 + 0*i + 9/7*i**5 + 0 + 2019/7*i**3 + 72*i**2 = 0. What is i?
-168, -1, -1/3, 0
Let d be 7 - (-1 + (-77)/14). Let l(y) be the second derivative of 3*y + 81/2*y**2 + 0 + 9/4*y**4 - d*y**3 - 3/20*y**5. Suppose l(k) = 0. Calculate k.
3
Let -1680 + 40*h**3 + 5*h**4 - 712 - 1440*h - 120*h**2 + 85 + 147 = 0. What is h?
-6, -2, 6
Let l be 35/10*(-8)/(-28). Let c be (l - -4)/((-2)/(-4)). Factor -5*g + c*g**2 - 12*g**3 + 8*g**3 - 3*g + 2*g**2.
-4*g*(g - 2)*(g - 1)
Let n(w) be the first derivative of w**5/20 - 9*w**3/2 - 47*w**2/2 + 27. Let g(l) be the second derivative of n(l). Factor g(h).
3*(h - 3)*(h + 3)
Let y(v) = -v**2 - 23*v - 4. Let h be y(-16). Factor -3*z**3 + 1214 + 0*z**3 + 2606 - 576*z - 720*z + h*z**2 + 1364.
-3*(z - 12)**3
Let o(i) = -159*i**3 - i**2 - 4*i - 1. Let l be o(-2). Let -191*y**4 + 23*y**4 - 34*y**2 - 611*y**2 + 723*y**3 - 375 - l*y + 12*y**5 = 0. Calculate y.
-1/2, 5
Let w(y) be the third derivative of 1/360*y**5 + 1/720*y**6 - 1/72*y**4 + 0 + 0*y**3 - 45*y**2 + 0*y. Factor w(k).
k*(k - 1)*(k + 2)/6
Let l be (-4)/(-18) - 2068/(-90). Let b be (55 + -1)/(240/(-150) + 5*91/50). Let -14/5*v**5 - 88/5*v**3 + l*v**2 + 102/5*v - b - 16*v**4 = 0. What is v?
-3, -1, 2/7, 1
Let c(d) be the first derivative of 89*d**3/6 - 23*d**2 + 3*d/2 - 3362. Factor c(u).
(u - 1)*(89*u - 3)/2
Let v = -22859 - -22863. Let z = -34 + 47. Factor -v*o**2 + 4*o - 26*o - 11*o + z*o.
-4*o*(o + 5)
Let h = 667/20 + -131/4. Let d(x) be the first derivative of 3/2*x**4 - 3*x**2 + h*x**5 + 0*x**3 - 3*x - 18. Let d(t) = 0. What is t?
-1, 1
Find m such that 2/11*m**5 + 0*m + 0 + 26/11*m**4 + 46/11*m**3 + 2*m**2 = 0.
-11, -1, 0
Suppose -10982 + 3093 = -23*j. Let r be 7*((-259)/j - -1). Determine u, given that 4/7*u**4 + 0 + 4/7*u + r*u**3 + 12/7*u**2 = 0.
-1, 0
Let n(q) be the first derivative of -q**6/4 + 331*q**5/10 - 9183*q**4/8 + 935*q**3/2 + 3025*q**2/2 + 820. Let n(t) = 0. Calculate t.
-2/3, 0, 1, 55
Factor -1035 - 122680*m + 30*m**2 + 249097*m - 120212*m.
5*(m + 207)*(6*m - 1)
Find s, given that 22/3*s + 50/3*s**3 + 182/9*s**2 - 4/9 + 38/9*s**4 = 0.
-2, -1, 1/19
Let z(v) = 2*v**3 + 5*v**2 - 15*v - 8. Let f be z(3). Factor -45*u - f*u**3 + 31*u**3 + 108 - 6*u**2 + 18*u**3.
3*(u - 3)**2*(u + 4)
Let v be (1 - 1)/((-11)/(-616)*8*-7). Let i(y) be the first derivative of 0*y**2 + v*y + 1/8*y**3 - 7. Factor i(r).
3*r**2/8
Suppose 5 + 3 = 2*j, m + 2*j = 350. Suppose 4*u = 2*q + m, 3*q = -0*u + u - 93. Factor 9 - 8*l**2 - u*l - 3*l**2 + 89*l - 3.
-(l - 1)*(11*l + 6)
Let t(a) = a**2 - 11*a - 19. Let j be t(12). Let f be 1*(j - -7)/3. Factor f*q - 16/3 + 4*q**2 - 4/3*q**3.
-4*(q - 2)**2*(q + 1)/3
Let d(g) = -6*g**2 + 238*g - 156. Let w be d(39). Let r(f) be the third derivative of 1/120*f**6 + 1/60*f**5 - 3*f**2 + w*f**4 + 0 + 0*f + 0*f**3. Factor r(k).
k**2*(k + 1)
Let j(o) = o**2 - 23*o - 50. Suppose -4*n + 21 = g, -4*g - 72 = -4*n - 176. Let c be j(g). What is h in 1/9*h + c*h**2 + 0 - 1/9*h**3 = 0?
-1, 0, 1
Let a(w) = w**4 + 83*w**3 + 256*w**2 - 3. Let l(s) = 2*s**4 + 82*s**3 + 256*s**2 - 2. Let i(d) = 2*a(d) - 3*l(d). Find n, given that i(n) = 0.
-16, -4, 0
Let w(s) be the first derivative of -7*s + 32 + 1/2*s**3 + 1/4*s**4 - 3*s**2. Let j(f) be the first derivative of w(f). Factor j(k).
3*(k - 1)*(k + 2)
Let b be 790/(-200) + 399/95. Let s = 46 - 44. Factor 0*j + 0 - b*j**s - 1/4*j**3.
-j**2*(j + 1)/4
Let p(t) be the first derivative of -15*t**5/4 - 4755*t**4/16 - 631*t**3/4 - 189*t**2/8 - 429. Factor p(z).
-3*z*(z + 63)*(5*z + 1)**2/4
Let w be 18738/(-399) + 1 + (-6 - -1). Let r = -356/7 - w. Determine b, given that 2/19 + r*b**3 + 6/19*b + 6/19*b**2 = 0.
-1
Let l(b) be the third derivative of b**7/42 + 331*b**6/12 + 9019*b**5 - 367965*b**4/4 + 554445*b**3/2 - 759*b**2 - 3*b. Suppose l(x) = 0. What is x?
-333, 1, 3
Let 2/11*a**3 - 9720/11 + 3312/11*a - 294/11*a**2 = 0. What is a?
6, 135
Let o = -464 + 466. Factor a - 15*a + 4*a - 18*a + 5 + 25 - 2*a**o.
-2*(a - 1)*(a + 15)
Let v be 3*8/(-12) - -4. Find g, given that -v*g + 4*g**2 - g + 4 - 2*g + 13*g = 0.
-1
Let d(g) be the third derivative of -g**9/6300 - g**8/11200 - 25*g**4/6 - 20*g**2 - g. Let c(l) be the second derivative of d(l). Determine k so that c(k) = 0.
-1/4, 0
Let w(p) be the second derivative of p**4/12 + 11*p**3 + 232*p**2 + 743*p. Factor w(x).
(x + 8)*(x + 58)
Let f(x) = 3*x**3 - 36*x**2 + 15*x. Let y(m) be the first derivative of -3*m**3 - 5 + 2*m**2 + 1/4*m**4 + 0*m. Let o(c) = -2*f(c) + 9*y(c). Factor o(v).
3*v*(v - 2)*(v - 1)
Let x(m) be the first derivative of -m**8/336 - m**7/168 + m**6/72 + m**5/24 - 230*m**3/3 + 235. Let o(i) be the third derivative of x(i). Factor o(f).
-5*f*(f - 1)*(f + 1)**2
Let s be (-112)/(-21)*(25/10 + -1). Let n(x) = -4*x + 42. Let o be n(s). Solve 512 - 80*b**3 - 1/2*b**5 - 640*b + o*b**4 + 320*b**2 = 0 for b.
4
Suppose -18*q - 20435 = 11065. Let v = 1752 + q. Solve -10/3 + 20*p - 365/6*p**3 + 245/6*p**5 - 85/6*p**v + 35/2*p**4 = 0.
-1, 2/7, 1
Suppose a + 42 = 2. Let k be a/(-72) + 3/9. Factor 8/9 + k*l + 2/9*l**2.
2*(l + 2)**2/9
Determine i so that 393129 - 2982849*i + 2981595*i + i**2 + 0*i**2 = 0.
627
Factor -235/2*b + 45*b**2 + 75 - 5/2*b**3.
-5*(b - 15)*(b - 2)*(b - 1)/2
Let t be (33/(-22))/(3/(-18)). Factor -t*c**2 + 2*c**4 - 9*c**2 + c**3 + 9*c**3 - 3*c**4 - 2*c**3 + 27.
-(c - 3)**3*(c + 1)
Let l = 399 - 394. Let y(b) be the first derivative of 38/33*b**3 - 5 + 4/11*b + 13/22*b**4 + b**2 + 6/55*b**l. What is c in y(c) = 0?
-2, -1, -1/3
Let o(b) be the first derivative of 3*b**4/4 - 188*b**3 + 27063*b**2/2 - 51894*b + 203. Solve o(t) = 0.
2, 93
Let f(m) = m**3 - 366*m**2 - 2277*m - 268. Let t be f(-6). Solve 14/5 - 4/5*y - 2*y**t = 0.
-7/5, 1
Let x = -265 - -220. Let p be 2*x/140*8/(-6). Factor -15/7*v - 3/7*v**3 - p - 12/7*v**2.
-3*(v + 1)**2*(v + 2)/7
Let l be (-21)/18*(-71)/((-17395)/(-560)). Determine w, given that -2/3*w**2 + 8/3 - 2/3*w**3 + l*w = 0.
-2, -1, 2
Suppose -29*l = -23 - 2587. What is s in -41 + 5*s - 9*s**2 + 141 + 4*s**2 + l*s = 0?
-1, 20
Let v(f) be the first derivative of f**4/2 + 340*f**3/3 + 7392*f**2 + 28224*f + 877. Factor v(n).
2*(n + 2)*(n + 84)**2
Let