 + (-66)/(-70) + -1. Factor -4/5 + 0*m + n*m**2.
4*(m - 1)*(m + 1)/5
Suppose -16*r = -26*r + 320. Let f be (20/(-32))/((-80)/r). Let -f*l**2 - 3*l - 9 = 0. What is l?
-6
Let x(m) be the third derivative of 11*m**8/392 + 97*m**7/735 - 13*m**6/140 - 97*m**5/210 + m**4/14 - 7097*m**2. Let x(k) = 0. What is k?
-3, -1, 0, 2/33, 1
Let b be (468/(-182))/(-6) - (12/42 - (-76865)/(-210)). Factor 7/6 + b*r**4 - 7943/3*r**3 - 137/3*r + 598*r**2.
(r - 7)*(13*r - 1)**3/6
Let j(o) be the third derivative of 0 - 45/8*o**4 - 3/8*o**6 - 9/4*o**5 - 1/42*o**7 + 174*o**2 + 0*o**3 + 0*o. Solve j(s) = 0.
-3, 0
Let k(u) be the first derivative of u**6/70 - 3*u**5/28 + 9*u**4/28 - u**3/2 + 3*u**2/7 - 47*u - 74. Let s(y) be the first derivative of k(y). Solve s(d) = 0.
1, 2
Find t, given that -223/4*t**4 + 0 + 193/4*t**2 + 33/2*t - 4*t**3 - 5*t**5 = 0.
-11, -3/4, -2/5, 0, 1
Let w(c) be the first derivative of -4*c**5 - 110*c**4 - 1585*c**3/3 + 1925*c**2/2 - 510*c + 44. Suppose w(h) = 0. Calculate h.
-17, -6, 1/2
Let u(x) = 5*x**3 + 148*x**2 - 315*x - 454. Let n(g) = 5*g**3 + 150*g**2 - 315*g - 455. Let c(o) = -4*n(o) + 5*u(o). Find q such that c(q) = 0.
-30, -1, 3
Let v(o) = o**3 - 8*o**2 - 46*o - 34. Let l be v(-1). Let -2*s - 1/5*s**4 + 0 - 8/5*s**l - 17/5*s**2 = 0. Calculate s.
-5, -2, -1, 0
Suppose -28*u**4 - 3*u**5 - 1512*u + 12*u**4 + 6652*u**2 - 8065*u**2 - 418*u**3 - 47*u**4 - 47*u**3 = 0. Calculate u.
-8, -7, -3, 0
Factor -108/5 - 1/5*q**2 + 56/5*q.
-(q - 54)*(q - 2)/5
Factor 0*z + 0 - 133/3*z**4 - 1/3*z**5 + 0*z**2 - 44*z**3.
-z**3*(z + 1)*(z + 132)/3
Let y be ((-30)/(-20))/((-2328)/(-2134)). Factor -1/8*q**3 - 9/8*q**2 + 1/8*q**4 - y*q - 1/2.
(q - 4)*(q + 1)**3/8
Let x(p) be the first derivative of -2 + 0*p**3 + 1/24*p**6 + 0*p + 7/2*p**2 + 0*p**4 - 1/12*p**5. Let d(w) be the second derivative of x(w). Factor d(f).
5*f**2*(f - 1)
Suppose -304 + 332 = 14*p. Suppose p*s - 2*s = 30*s. Factor s - 6/5*b - 2/5*b**2.
-2*b*(b + 3)/5
Let l be 23025/(-1228) - (-23 - 0). Factor 1/4*i**4 - 17/4*i + l*i**2 - 7/4*i**3 + 3/2.
(i - 3)*(i - 2)*(i - 1)**2/4
Let t(c) be the second derivative of -2*c**5/5 - 2587*c**4 - 5020720*c**3 - 7527200*c**2 - 3*c - 191. Factor t(i).
-4*(i + 1940)**2*(2*i + 1)
Let r(u) = -u**2 - 162*u - 185. Let s(d) = 5*d**2 + 811*d + 938. Let g(w) = -22*r(w) - 4*s(w). Factor g(v).
2*(v + 1)*(v + 159)
Suppose -3*i - 34 = -5*l - 0*l, -3*i + 11 = 4*l. Suppose 0 = l*o - 3*o - 4. Factor 4*c**o - 7*c**2 + 3*c**2 - 15*c**2 - 10 - 35*c.
-5*(c + 2)*(3*c + 1)
Solve -154*s + 30*s**2 - 12*s + 24 - 9*s**2 - 16*s**2 - 19*s**2 = 0.
-12, 1/7
Find b, given that -57*b**4 - 109*b**3 + 33*b**2 + 13*b**2 - b**5 + 11*b**2 - 589*b + 699*b = 0.
-55, -2, -1, 0, 1
Let s(y) be the third derivative of 0*y**6 + 3*y + 0*y**5 + 0*y**4 - 1/105*y**7 - 5*y**2 + 0 + 0*y**3 - 5/168*y**8. Let s(t) = 0. Calculate t.
-1/5, 0
Let q(t) be the third derivative of t**5/20 - 219*t**4/4 + 47961*t**3/2 + 1730*t**2. Factor q(h).
3*(h - 219)**2
Let a(c) be the second derivative of -c**6/10 - 6*c**5/5 + c**4/4 + 4*c**3 - 3*c - 92. Find k, given that a(k) = 0.
-8, -1, 0, 1
Let h(t) be the third derivative of t**6/120 - 259*t**5/60 + 125*t**4 - 1482*t**3 - 40*t**2 + 60*t - 1. Find n such that h(n) = 0.
6, 247
Let h be (-664)/(-20) - 4/(-5). Factor 75*t**2 - h*t**3 - 86*t**3 - 10*t + 103*t**4 - 48*t**4.
5*t*(t - 1)**2*(11*t - 2)
Let q(n) = -7*n - 313. Let b(w) = -4*w - 9. Let m be b(9). Let d be q(m). Factor 16*g + 32/5 + 56/5*g**d + 12/5*g**3.
4*(g + 2)**2*(3*g + 2)/5
Let g = 620 + -379. Suppose -c + g = -261. Factor 5*i - 4*i**2 - 502 + 3*i + c.
-4*i*(i - 2)
Let c = -236 + 353. Let l = -583/5 + c. Suppose l*m - 1/5*m**2 + 0 = 0. Calculate m.
0, 2
Let q = 1300 + -1295. Let s be (750/300)/(q/4). Let -4/7*j**3 + 0 + 8/7*j**s - 4/7*j = 0. Calculate j.
0, 1
Let x(s) be the third derivative of -31 + 0*s + 4*s**2 + 1/660*s**6 - 5/44*s**4 - 8/33*s**3 - 1/55*s**5. Find a, given that x(a) = 0.
-1, 8
Let y(r) = 2*r**2 - 760*r - 1526. Let b be y(-2). Determine p so that -24/5*p - 132/5*p**b + 0 - 15*p**4 - 42*p**3 = 0.
-2, -2/5, 0
Let m = 261 - 2348/9. Let h(y) be the first derivative of 1/15*y**5 + 0*y + 0*y**4 - 11 - m*y**3 + 0*y**2. Determine l so that h(l) = 0.
-1, 0, 1
Suppose 0 = -7*b - 9*b + 640. Let f be ((-16)/(-60))/(16/b). Solve -2/3*c + f*c**2 + 0 = 0.
0, 1
Let y(t) be the first derivative of 4*t**3/3 - 65*t**2/2 + 16*t + 2154. Suppose y(z) = 0. What is z?
1/4, 16
Let v(w) = -2*w**2 + 15*w + 92. Let s be v(-5). Let c be (0 + 1)/(s/(-11)). Solve c*f**2 + 0*f - 1/3 = 0.
-1, 1
Suppose 385*q - 1284 = 185*q - 442*q. Factor -21*h + 45/2*h**q - 3/2.
3*(h - 1)*(15*h + 1)/2
Let m be (-3 - (-46)/14)*(-83 - -88). Factor 2/7*l**3 + 2*l + 6/7 + m*l**2.
2*(l + 1)**2*(l + 3)/7
Let p(d) = -20*d**4 + 110*d**3 + 1413*d**2 + 7210*d + 11664. Let w(n) = -23*n**4 - n**3 + n. Let y(m) = p(m) - w(m). Factor y(o).
3*(o + 3)*(o + 9)**2*(o + 16)
Let w(y) be the third derivative of y**6/540 - y**5/90 - 4*y**4/3 + 832*y**3/27 - 133*y**2 + 31*y. Solve w(g) = 0 for g.
-13, 8
Let n(l) be the third derivative of 20/39*l**4 + 0 - 5/78*l**5 - 59*l**2 - 64/39*l**3 + 0*l. Factor n(y).
-2*(5*y - 8)**2/13
Let u be 14/(-4)*(-16)/28. Suppose -l - l = -h - u, -35 = -5*h + l. Let -q - h*q - 12*q**2 - q**5 + 18*q**3 + 3*q**4 - 16*q**3 + q**4 = 0. What is q?
-1, 0, 3
Let c(w) be the first derivative of 0*w**2 - 2/5*w + 68 + 1/30*w**3. Solve c(x) = 0.
-2, 2
Determine n so that -1/3*n**3 - 8 + 4/3*n + 2*n**2 = 0.
-2, 2, 6
Let x(m) be the third derivative of -11*m**6/30 + 62*m**5/15 - 40*m**4/3 + 2558*m**2. Factor x(o).
-4*o*(o - 2)*(11*o - 40)
Let f be 366/(-61) + 14144/6. Let k = -2351 + f. Factor 0 + k*s**2 + 4/3*s.
s*(s + 4)/3
Factor -8*a**2 - 35/3 - 173/3*a.
-(a + 7)*(24*a + 5)/3
Let m(v) be the first derivative of v**5 + 45*v**4/4 + 25*v**3 - 125*v**2/2 - 308. Factor m(k).
5*k*(k - 1)*(k + 5)**2
Suppose -y + 4*j + 205 - 175 = 0, -j - 21 = -7*y. Suppose 69/5*n - 3/5*n**y - 36 = 0. Calculate n.
3, 20
Determine f, given that 612*f**3 - 582*f**2 + 19 - 80*f + 34*f**2 - 3 = 0.
-2/9, 2/17, 1
Suppose 1 - 1 = -66*l - 27*l. Factor -2/15*q**2 + 2/15*q**3 + 0 + 2/15*q**4 + l*q - 2/15*q**5.
-2*q**2*(q - 1)**2*(q + 1)/15
Suppose -32*q = 53632 - 53696. Factor 18/5 - 7/5*h - 1/5*h**q.
-(h - 2)*(h + 9)/5
Let s(h) be the second derivative of h**6/165 - 43*h**5/55 + 83*h**4/22 + 3*h + 78. Factor s(x).
2*x**2*(x - 83)*(x - 3)/11
Solve -2/7*s**2 + 15152/7*s - 28697888/7 = 0 for s.
3788
Suppose -9*z**4 - 27/2*z**3 - 6*z**2 + 0*z - 3/2*z**5 + 0 = 0. Calculate z.
-4, -1, 0
Factor 5/3*y**2 + 557/3*y + 74.
(y + 111)*(5*y + 2)/3
Let m be 53/(-210) + 254/889. Let k(f) be the third derivative of 0*f + 0 - 2*f**2 + 0*f**3 + 0*f**5 + 0*f**4 - 4/105*f**7 - m*f**6 - 1/84*f**8. Factor k(z).
-4*z**3*(z + 1)**2
Let s(g) be the third derivative of g**6/720 - 13*g**5/60 - 53*g**4/48 - 20*g**3/9 - 1043*g**2. Let s(c) = 0. Calculate c.
-1, 80
Let l be 424/280 + 15*4/300. Factor 40/7*m + 4/7*m**4 + l + 48/7*m**2 + 24/7*m**3.
4*(m + 1)**3*(m + 3)/7
Suppose 29*x - 127 = 18. Let w(a) be the third derivative of 0*a + 0 + 0*a**3 - 1/12*a**4 - 1/15*a**x + 3*a**2 - 1/60*a**6. Factor w(o).
-2*o*(o + 1)**2
Let a(f) be the first derivative of 2*f**5/25 - 4*f**4/5 - 184*f**3/5 + 3168*f**2/5 - 10368*f/5 - 15747. Find o, given that a(o) = 0.
-18, 2, 12
Let f(o) be the first derivative of -o**6/3 + 31*o**4/2 + 4*o**3/3 - 192*o**2 + 320*o - 10502. Determine s so that f(s) = 0.
-4, 1, 2, 5
Suppose 2*i - 32 = 2*z + 2*z, -4*i + 38 = 5*z. Factor -10*n + i*n + 2*n**3 + 2*n**5 - 5*n**3 - n**3.
2*n*(n - 1)**2*(n + 1)**2
Factor 45*p + 7 + 5*p**3 - 190*p + 113 - 11*p**2 - 16*p**2 + 47*p**2.
5*(p - 3)*(p - 1)*(p + 8)
Let r be ((6/(-22))/(51/(-34)))/(36/99). Factor 1369/2 + r*p**2 - 37*p.
(p - 37)**2/2
Solve 20*s**3 + 908*s**2 - 2751/5*s + 414/5 = 0 for s.
-46, 3/10
Let j(c) = 95*c + 244. Let l be j(-8). Let t be l/430*(-5)/2. Factor 0*f**t + 4/5*f**4 + 0*f**2 + 0 + 0*f - 2/5*f**5.
-2*f**4*(f - 2)/5
Let b(g) = 19*g**2 - 20*g - 45. Let x be b(-5). Suppose -4 = 529*y - x*y. Find d, given that 9/4*d**2 - 1/2 - 1/4*d + 5/4*d**y + 13/4*d**3 = 0.
-1, 2/5
Suppose 427*x = 408*x + 114. Let g(b) be the third derivative of 0*b + 0*b**4 - 47*b**2 + 0*b**5 - 1/945*b**7 + 7/540*b**x + 0 + 0*b**3. Factor g(m).
-2*m**3