) + (-130)/(-4))*-82*(-82)/90774. Factor -32/3 - 2/9*a**3 - o*a**2 - 80/9*a.
-2*(a + 3)*(a + 4)**2/9
Let g(n) be the first derivative of -n**4/32 - 3*n**3/8 - 25*n + 144. Let o(t) be the first derivative of g(t). Factor o(w).
-3*w*(w + 6)/8
Let o(g) be the third derivative of 0*g**3 + 1/960*g**6 + 1/48*g**5 - 80 + 0*g + 25/192*g**4 + g**2. Factor o(a).
a*(a + 5)**2/8
Suppose -295*k + 4*c = -299*k - 40, -k = 2*c + 20. Factor k - 4/17*z + 6/17*z**2 - 2/17*z**3.
-2*z*(z - 2)*(z - 1)/17
Let i(p) be the third derivative of -10/27*p**3 - 2*p**2 - 2/135*p**5 + 41/108*p**4 - 60 + 0*p. Suppose i(c) = 0. Calculate c.
1/4, 10
Let v(p) be the third derivative of 3*p**6/20 - 7*p**5/5 + 85*p**4/48 + 289*p**3/12 - 18*p**2 + 45*p - 2. Factor v(t).
(t + 1)*(6*t - 17)**2/2
Let l be 1 - (-12)/(-8) - (9/6 - 5). Let f(t) be the second derivative of 35*t - 5/24*t**4 + 0 - 1/2*t**l + 0*t**2 - 1/40*t**5. Solve f(r) = 0.
-3, -2, 0
Let c(a) be the third derivative of -176*a**2 - 625/12*a**3 + 1/5*a**5 + 0 + 175/32*a**4 + 0*a + 1/480*a**6. Factor c(s).
(s - 2)*(s + 25)**2/4
What is x in 727 - 430 + 4*x**3 + 120*x**2 - 6*x**3 - 417 + 2*x = 0?
-1, 1, 60
Let r(b) = -38*b**3 + 132*b**2 + 36*b. Let k(o) = 13*o**3 - 44*o**2 - 12*o. Let z be -2 + -2 + -6 + 0 + 0. Let l(j) = z*k(j) - 3*r(j). Factor l(c).
-4*c*(c - 3)*(4*c + 1)
Let y = -173334 - -1040009/6. Let d = 2/5 + 21/10. Factor -5/6*b**4 + y*b**2 + 0 - d*b**3 + 5/2*b.
-5*b*(b - 1)*(b + 1)*(b + 3)/6
Let z be 5 - (11/(-6) + 15/255*17)*-6. Factor 2/11*m**3 + z - 4/11*m**2 + 0*m.
2*m**2*(m - 2)/11
Let u be ((-19)/(950/15))/(-1*(-10)/(-75)). Determine c, given that -1/4*c**3 - u*c**2 - 3/2*c + 4 = 0.
-8, -2, 1
Determine l, given that 65/4*l**3 - 45*l + 105/2*l**2 - 270 + 5/4*l**4 = 0.
-6, -3, 2
Let r be 920/(-116) - 14/203. Let k be 48/(-216) - r/36. Let -2/9*n**2 + k + 2/3*n = 0. What is n?
0, 3
Let p(n) be the second derivative of n**6/120 + 13*n**5/60 - n**4/24 - 13*n**3/6 + 72*n**2 + n + 27. Let o(q) be the first derivative of p(q). Factor o(k).
(k - 1)*(k + 1)*(k + 13)
Let q(o) be the third derivative of 11*o**8/120 - 37*o**7/840 - o**6/180 - 13*o**3/6 + 27*o**2 + 3*o. Let a(m) be the first derivative of q(m). Factor a(v).
v**2*(7*v - 2)*(22*v + 1)
Let v = -2294/35 - -459/7. Let w(h) be the third derivative of -43*h**2 - 1/7*h**4 - 1/420*h**6 + 0*h + 8/21*h**3 + 0 + v*h**5. Factor w(i).
-2*(i - 2)**3/7
Let s(m) = m**2 - m. Let p(g) = -2*g**2 - 15*g + 81. Let l be (4 - 5) + 10/5. Let o(c) = l*p(c) + 3*s(c). Suppose o(h) = 0. What is h?
9
Let z(t) be the first derivative of -208*t**3/7 + 1251*t**2/14 - 6*t/7 + 7441. Suppose z(r) = 0. What is r?
1/208, 2
Let n(r) be the third derivative of 13/105*r**7 - 1/4*r**6 + 1/15*r**5 - 7*r + 0*r**4 - 2*r**2 + 0*r**3 + 0. Determine f, given that n(f) = 0.
0, 2/13, 1
Let o(h) be the first derivative of 108 + 4/3*h + 77/24*h**4 - 9*h**3 + h**2. Solve o(w) = 0.
-2/11, 2/7, 2
Let n(u) be the third derivative of 1/42*u**7 + 0 - 40/3*u**3 - 35/6*u**4 + 1/24*u**6 + 0*u - u**5 - 26*u**2. Factor n(v).
5*(v - 4)*(v + 1)*(v + 2)**2
Let z(g) = -54*g**3 + 444*g**2 - 54*g - 21. Let p(y) = -45*y**3 + 222*y**2 - 27*y - 10. Let q(l) = 9*p(l) - 4*z(l). Determine b, given that q(b) = 0.
-1/9, 2/7, 1
Let 244 + 4*u**2 + u**3 - 8*u - 52*u - u**2 - 144 = 0. What is u?
-10, 2, 5
Let d(f) be the second derivative of -f**5/160 + 9*f**4/32 - 81*f**3/16 + 85*f**2/2 + 66*f. Let c(q) be the first derivative of d(q). Let c(s) = 0. What is s?
9
Factor 2052*q - 40248 - 2*q**2 - 505711 + 19621.
-2*(q - 513)**2
Determine r, given that -677/3*r**4 - r**5 - 1039*r**3 - 884/3 - 1180*r - 5099/3*r**2 = 0.
-221, -2, -1, -2/3
Let d = -1285 - -612. Let m = d + 675. Solve 5/2*n - 3 - 1/2*n**m = 0 for n.
2, 3
Solve 2/11*v**5 + 76/11*v**4 + 928/11*v + 1424/11*v**2 + 570/11*v**3 + 0 = 0.
-29, -4, -1, 0
Let n(i) = i**3 + 5*i**2 + 4*i + 4. Let t be n(-4). Let k = -124 - -128. Determine l so that 5*l + l**2 + 3*l + 4*l**3 + t*l**2 + k - 3*l**3 = 0.
-2, -1
Let m(w) be the first derivative of -3*w + 1/4*w**2 - 62 + 1/6*w**3. Factor m(r).
(r - 2)*(r + 3)/2
Let i(o) be the second derivative of -o**5/10 + 25*o**4/2 + 51*o**3 + 77*o**2 - 165*o + 1. Suppose i(h) = 0. Calculate h.
-1, 77
Let r(q) be the third derivative of -q**6/1380 + 16*q**5/115 - 135*q**4/23 + 7600*q**3/69 - 8231*q**2 + 2. Factor r(z).
-2*(z - 76)*(z - 10)**2/23
Suppose -2820 = -1270*y + 14960. Factor -y*p**2 + 68/5*p - 16/5.
-2*(5*p - 2)*(7*p - 4)/5
Let y(x) be the third derivative of x**8/420 + 629*x**7/525 + 4389*x**6/20 + 30429*x**5/2 - 77175*x**4/4 - 3*x**2 - 5*x - 16. Factor y(k).
2*k*(k + 105)**3*(2*k - 1)/5
Let p = -1/19080 + 99641/19080. Determine q so that p*q + 1/9*q**2 - 16/3 = 0.
-48, 1
Let h(b) be the first derivative of 2*b**3/9 + 8*b**2 - 1280*b/3 + 1168. Find k such that h(k) = 0.
-40, 16
Let c(f) = -f**2 - 7*f - 6. Let j be 5*(4/(-12))/((-4)/(-12)). Let k be c(j). Find s such that -18/5*s + 12/5*s**2 + 16/5*s**3 - 12/5*s**k + 0 + 2/5*s**5 = 0.
-1, 0, 1, 3
Let z(n) = -n**3 - 13*n**2 - 24*n - 20. Let f be z(-11). Find q, given that 99*q - 16 - 206*q - 2*q**f + 125*q = 0.
1, 8
Let j(w) be the second derivative of w**7/147 + 53*w**6/105 + 389*w**5/35 + 1013*w**4/21 + 275*w**3/3 + 625*w**2/7 - 703*w - 1. Find s such that j(s) = 0.
-25, -1
Let j be (15/(-378)*14)/(5/(-222)). Factor -40*g**2 - 4 + j*g + 6*g**3.
2*(g - 6)*(3*g - 1)**2/3
Let k(m) be the second derivative of m**8/6720 + m**7/840 - m**6/80 + m**5/24 + 23*m**4/6 + 109*m. Let y(l) be the third derivative of k(l). Factor y(t).
(t - 1)**2*(t + 5)
Let g(v) be the second derivative of -3/5*v**2 + 22*v - 1/30*v**4 + 0 - 4/15*v**3. Let g(i) = 0. Calculate i.
-3, -1
Suppose 3*g - b - 1527 = 2*b, 0 = 4*g + 3*b - 2057. Suppose 1134*y + 1936*y - 50160*y**3 - 196*y**5 + g*y**2 + 439*y - 6272*y**4 + 587*y = 0. Calculate y.
-16, -2/7, 0, 2/7
Let l(s) be the first derivative of 2*s**3 + 521*s**2 - 348*s + 946. Factor l(o).
2*(o + 174)*(3*o - 1)
Let g = -101106811579/3315 - -30499793. Let y = -2/1105 + g. Factor -y*h**3 + 8/3*h - 8/3 + 2/3*h**2.
-2*(h - 2)*(h - 1)*(h + 2)/3
Let j(z) be the third derivative of 0*z**3 + 1/105*z**7 - 4/9*z**4 + 4/9*z**5 + 2*z**2 - 68*z + 0 + 23/180*z**6. Factor j(g).
2*g*(g + 4)**2*(3*g - 1)/3
Let s(t) = t**2 + 2402*t + 12. Let b be s(0). Suppose 0*h**2 - 3/2*h**5 + 3*h**4 + 0*h + b*h**3 + 0 = 0. Calculate h.
-2, 0, 4
Let j(q) be the first derivative of -2*q**6/135 + q**5/15 - 2*q**4/27 + 82*q + 223. Let i(c) be the first derivative of j(c). Factor i(k).
-4*k**2*(k - 2)*(k - 1)/9
Let i(y) be the second derivative of -4*y - 310/3*y**3 - 205/12*y**4 - 4 + 13/4*y**5 + 50*y**2. Factor i(v).
5*(v - 5)*(v + 2)*(13*v - 2)
Let g(z) be the first derivative of z**6/4 + 84*z**5/5 - 261*z**4/4 + 88*z**3 - 177*z**2/4 - 1713. Solve g(x) = 0 for x.
-59, 0, 1
Suppose -4*d + 4*a = -9*d - 263, -2*a = -3*d - 149. Let p be (-255)/d + (-3 - -1). Factor 0 - b - b**2 - 1/4*b**p.
-b*(b + 2)**2/4
Let s be (-28)/49 - 625/(-175). Let h(c) be the first derivative of 0*c**2 - 1/3*c**s + 0*c + 10. Factor h(a).
-a**2
Factor 2002*a**3 - 16*a**4 - 12*a**2 - 1870*a**3 - 20*a**2.
-4*a**2*(a - 8)*(4*a - 1)
Let z = -17 - -30. Suppose 2*i + 9 = z. Factor -10*x + 29*x**4 - 40*x**i - 10*x - 4*x**4 + 35*x**3.
5*x*(x - 1)*(x + 2)*(5*x + 2)
Suppose 0*w - w - 5*m = 8, 2*m + 20 = 16. Suppose 4/3*a**3 + a**w - 20/3*a + 1/6*a**4 + 25/6 = 0. What is a?
-5, 1
Find x such that 3008/3*x + 496*x**2 + 672 - 2/3*x**4 + 80*x**3 = 0.
-2, 126
What is p in -1/2*p**3 - 107/2*p + 25/2*p**2 - 133/2 = 0?
-1, 7, 19
Let t(f) be the third derivative of -f**5/15 - 256*f**4/3 + 452*f**2 - f. Factor t(n).
-4*n*(n + 512)
Let g = 83 - 80. Let p(r) be the first derivative of -6*r - 7*r**2 - 8 - 4/3*r**g. Determine s, given that p(s) = 0.
-3, -1/2
Determine v, given that v**5 + 71/2*v**4 - 18*v**2 - 37/2*v**3 + 0 + 0*v = 0.
-36, -1/2, 0, 1
Find o such that -3/2*o - 537/2*o**2 + 3/2*o**3 + 537/2 = 0.
-1, 1, 179
Let s(p) = 2*p**3 - 688*p**2 + 706*p - 2. Let x(m) = m**2 + 9*m - 1. Let n(g) = -2*s(g) + 4*x(g). Solve n(t) = 0.
0, 1, 344
Let x(l) be the first derivative of -5*l**3/2 + 9*l**2 + 66*l + 1446. Factor x(u).
-3*(u + 2)*(5*u - 22)/2
Suppose 4/9*y**5 + 0 - 6*y**3 - 2/9*y**4 + 0*y + 8*y**2 = 0. What is y?
-4, 0, 3/2, 3
Let r = -10107/5 + 111187/55. 