)/(-8). Factor 1/2*g + w - 1/4*g**2.
-(g - 3)*(g + 1)/4
Suppose -h - j = 101, 5*h - 3*j + 156 = -381. Let l be ((-5)/(h/4))/(30/490). Factor 2/9*c**2 - l*c + 98/9.
2*(c - 7)**2/9
Let q(y) = -y. Let z be q(-6). Suppose -a + z*a = 25. Factor 25*u**4 + 2*u**5 + 5*u**3 - 15*u**4 + 3*u**a.
5*u**3*(u + 1)**2
Let y = -396 - -400. Suppose 40*i**3 - 6 + 3*i**y - 7*i**4 + 40*i**2 - 36*i - 4*i**5 - 11 - 19 = 0. What is i?
-3, -1, 1, 3
Let b(d) be the third derivative of 0*d**3 + 0 + 157/40*d**6 + 81/112*d**8 - 99/35*d**7 + 1/2*d**4 - 11/5*d**5 - 2*d**2 - 5*d. Determine a so that b(a) = 0.
0, 2/9, 1
Let x(w) be the third derivative of w**5/270 - 1265*w**4/27 + 6400900*w**3/27 + 8784*w**2. Determine k so that x(k) = 0.
2530
Suppose -108 = 210*w - 219*w. Factor -2*r + w*r**3 + 29*r + 344*r**2 - 232 - 165*r + 14*r.
4*(r - 1)*(r + 29)*(3*r + 2)
Let d = -523795/3 + 174603. Find h such that -32/3 + d*h**2 + 2/3*h**3 - 20/3*h = 0.
-8, -1, 2
Let w be (-1 + 0 + 1)*(-8 + 7). Suppose w = -0*j - 6*j. Factor j*x + 0 + 3/4*x**2 - 3/4*x**3.
-3*x**2*(x - 1)/4
Let p(y) = 19*y**3 + 1465*y**2 + 98298*y + 96735. Let z(s) = -9*s**3 - 735*s**2 - 49149*s - 48369. Let o(t) = 6*p(t) + 13*z(t). Factor o(m).
-3*(m + 1)*(m + 127)**2
Let v(b) be the second derivative of -b**6/90 - 13*b**5/60 - 3*b**4/2 - 46*b**3/9 - 28*b**2/3 + b - 232. Factor v(r).
-(r + 2)**3*(r + 7)/3
Let x(w) = 8*w**3 + 16*w**2 - 451*w - 450. Let a(r) = -65*r**3 - 130*r**2 + 3610*r + 3600. Let i(u) = 3*a(u) + 25*x(u). Factor i(g).
5*(g - 9)*(g + 1)*(g + 10)
Let s(r) = 6*r**4 - 347*r**3 - 930*r**2 + 360*r. Let j(d) = -d**4 + 88*d**3 + 233*d**2 - 90*d. Let v(a) = 9*j(a) + 2*s(a). Determine x so that v(x) = 0.
-30, -3, 0, 1/3
Let h = 291 + 324. Find l such that -292*l**3 + 33*l**2 - 302*l**3 + h*l**3 - 30*l - 24 = 0.
-2, -4/7, 1
Let p(o) = 4*o**3 - o**2 + 2*o. Let d(j) = -10*j**3 + 60*j**2 + 118*j + 62. Let r(q) = -2*d(q) - 4*p(q). Factor r(v).
4*(v - 31)*(v + 1)**2
Let n(u) be the first derivative of u**5/5 - 13*u**4/6 - 8*u**3/3 + 7*u**2 - 89*u - 246. Let r(d) be the first derivative of n(d). Find k such that r(k) = 0.
-1, 1/2, 7
Let j(y) = -5*y**3 - 2*y. Let l(d) = -27*d**3 + 15*d**2 + 6*d. Let m(g) = 6*j(g) - l(g). Solve m(q) = 0 for q.
-3, -2, 0
Let t(o) be the second derivative of -1/3*o**3 + 0 + 70*o + 0*o**2 - 1/15*o**4. Determine b, given that t(b) = 0.
-5/2, 0
Let h(c) be the second derivative of -c**7/1400 + c**6/100 - c**5/40 - 29*c**3/3 - 20*c. Let n(o) be the second derivative of h(o). Solve n(d) = 0.
0, 1, 5
Suppose 483*d + 130 = 478*d. Let h be 14/(308/33)*(-24)/d. Factor 8/13*o**4 + 2/13*o**5 - 24/13*o**2 + h*o + 0 - 4/13*o**3.
2*o*(o - 1)**2*(o + 3)**2/13
Let m(y) = 38*y + 118. Suppose 5*g + 2*q = -9, -2*g + 18*q + 6 = 22*q. Let s be m(g). Solve -3/7*a**5 - 27/7*a**3 + 3*a**2 + 15/7*a**s + 0 - 6/7*a = 0 for a.
0, 1, 2
Let k(n) be the first derivative of 0*n**2 + 39 - 1/990*n**6 + 0*n**4 + 1/220*n**5 + 0*n - 14/3*n**3. Let x(r) be the third derivative of k(r). Factor x(z).
-2*z*(2*z - 3)/11
Let w(o) = 130*o**4 + 24*o**3 - 116*o**2 - 59*o + 7. Let h(d) = -2*d**4 + 5*d - 1. Let c(i) = 7*h(i) + w(i). Determine j, given that c(j) = 0.
-1, -6/29, 0, 1
Let b(w) = -15*w**2 - 95*w - 105. Let z(j) = -2*j**2 - 12*j - 13. Let v be 3*(5 - (1 - -19)/5). Let c(q) = v*b(q) - 25*z(q). Factor c(o).
5*(o + 1)*(o + 2)
Let a(f) be the first derivative of 5*f**3/3 - 1050*f**2 + 220500*f + 205. Factor a(x).
5*(x - 210)**2
Let o(d) = 5*d**3 - 105*d**2 - 370*d + 2730. Let i(h) = -2*h**3 + 35*h**2 + 123*h - 909. Let y(s) = -10*i(s) - 3*o(s). Let y(z) = 0. Calculate z.
-5, 6
Solve -1337 + 467*y + 115 + 2*y**3 - 271*y**2 + 1979*y - 459*y**2 - 496*y**2 = 0.
1, 611
Let t(u) be the second derivative of 17*u**4/12 + u**3/6 + 3*u**2/2 + 16*u. Let j be t(-1). Factor 5*x + j*x**2 - 12*x**2 - 12*x**2.
-5*x*(x - 1)
Let u(i) be the third derivative of i**8/5040 - i**7/2100 - i**6/450 + i**5/15 - i**3/6 + 31*i**2 + i. Let y(z) be the third derivative of u(z). Factor y(w).
4*(w - 1)*(5*w + 2)/5
Factor -184/3 + 13/2*n - 1/6*n**2.
-(n - 23)*(n - 16)/6
Let s(u) be the third derivative of -u**5/120 + 317*u**4/24 - 100489*u**3/12 + 1810*u**2. Factor s(b).
-(b - 317)**2/2
Let s(c) = 112*c**2 + 254*c - 6. Let t(x) = -13*x - 4 + 141*x + 56*x**2 + 4 - 1 - 3. Let u(q) = -6*s(q) + 11*t(q). Factor u(m).
-4*(m + 2)*(14*m + 1)
Let u be (117/156)/((-3)/(-16)) - (-98)/(-35). Solve -u*d**2 - d + 1/5 = 0 for d.
-1, 1/6
Solve 1244/3 - 1/3*d**2 - 307/3*d = 0.
-311, 4
Let h = -281 - -545. Suppose 264 = -x + h. What is r in 5*r**4 + 5/2*r**5 - 5*r**2 + x*r**3 - 5/2*r + 0 = 0?
-1, 0, 1
Let 809029716 + 3/2*s**3 + 3663*s**2 + 2981682*s = 0. What is s?
-814
Let v(c) be the second derivative of 0*c**2 - 9/70*c**5 + 150*c + 0 - 44/21*c**4 + 20/21*c**3. Let v(m) = 0. What is m?
-10, 0, 2/9
Suppose 0 = 2*w - i - 1, -6*i + 5*i = -5. Suppose 8*y + 3*y - 33 = 0. What is h in 6*h**w + 1223*h**2 + 15*h**y - 12*h - 1259*h**2 = 0?
-2/7, 0, 2
Suppose -10 = -149*s + 153*s - 2*d, -3*s + 4*d - 20 = 0. Suppose 4*u - x - 41 = 4*x, -18 = -2*u + 2*x. Factor 0*m**3 + 3/5*m**2 + 0*m - 3/5*m**u + s.
-3*m**2*(m - 1)*(m + 1)/5
Let g(s) be the second derivative of -s**7/350 - 3*s**6/200 + s**5/25 + 27*s**2/2 - 6*s - 5. Let c(d) be the first derivative of g(d). Factor c(k).
-3*k**2*(k - 1)*(k + 4)/5
Let i(z) be the third derivative of -2*z**7/1155 - 9*z**6/220 + 29*z**5/330 - 2*z**2 + 718*z + 3. Factor i(s).
-2*s**2*(s - 1)*(2*s + 29)/11
Let m(u) be the first derivative of u**6/165 - u**5/5 + 7*u**4/22 + 236*u + 129. Let c(z) be the first derivative of m(z). Suppose c(p) = 0. Calculate p.
0, 1, 21
Let l(x) be the first derivative of -x**4/4 + 360*x**3 - 290517*x**2/2 - 585362*x - 2330. Factor l(s).
-(s - 541)**2*(s + 2)
Let b(g) = g**3 - 6*g**2 - 42*g + 17. Let f be b(10). Let d be (f - -3)*(-8 - -7). What is c in -4*c**4 + 5/2*c**5 + 1/2*c**3 + 0 + d*c + c**2 = 0?
-2/5, 0, 1
Suppose -8 = 2*g - 12. Factor -1 - 8*m**2 + g*m**2 - 5*m - 9 + 11*m**2.
5*(m - 2)*(m + 1)
Let h = 109 + -106. Find l, given that -840*l**3 - 3*l**2 + 0*l**2 - 3*l + h + 843*l**3 = 0.
-1, 1
Let d(p) be the third derivative of -p**8/560 + 57*p**7/350 + 77*p**6/40 - 441*p**5/100 + 7973*p**2 + p. Solve d(c) = 0.
-7, 0, 1, 63
Factor 0 - 2/11*b**4 + 0*b - 442/11*b**3 + 0*b**2.
-2*b**3*(b + 221)/11
Suppose -5*z = 3*q + 1484, 2*z = -3*q + 3*z - 1478. Let i = 493 + q. What is c in -1/4*c**3 + i + 0*c + 3/8*c**4 + 0*c**2 = 0?
0, 2/3
Let z be 2*(-1 - (-3)/4)*-122. Let f = z + -58. What is g in 5*g**3 - 34*g**2 + 0*g**f + 12*g**2 + 12*g**2 + 5*g**4 = 0?
-2, 0, 1
Let s(r) be the second derivative of -r**6/50 + 3*r**5/100 + 9*r**4/5 - 18*r**3/5 - 14*r - 46. Determine x, given that s(x) = 0.
-6, 0, 1, 6
Let v(q) be the second derivative of q**7/70 + 9*q**6/50 - 147*q**5/100 + 39*q**4/20 - 3*q - 283. Determine i so that v(i) = 0.
-13, 0, 1, 3
Let d = 1459/189 + -85/27. Let u(v) be the first derivative of -25/7*v**4 + 11 + d*v + 32/35*v**5 - 8*v**2 - 2/21*v**6 + 152/21*v**3. Find x such that u(x) = 0.
1, 2
Let c be (((-16)/(-22))/(-4))/((-32840)/45155). Let 14*h**4 + 43/4*h**2 + 11/4*h + 73/4*h**3 + c + 4*h**5 = 0. What is h?
-1, -1/4
Let i(q) be the third derivative of q**6/120 - 153*q**5/10 + 70227*q**4/8 - 2*q**2 + 1167. Factor i(o).
o*(o - 459)**2
Let y be (-5)/15*-1 - -3. Suppose 52 = -79*i + 105*i. Determine p so that 2*p**i - 2/3*p**4 + y*p - 2/3*p**3 + 4/3 = 0.
-1, 2
Let r(i) = -i**2 + 21*i + 1635. Let y be r(0). Let h = -1631 + y. Factor 0 + 3/2*o**3 - 1/2*o**2 + 1/2*o**5 + 0*o - 3/2*o**h.
o**2*(o - 1)**3/2
Let t(q) be the second derivative of -q**6/120 + 31*q**5/80 - 7*q**4/3 + 9*q**3/2 - 1299*q. Factor t(c).
-c*(c - 27)*(c - 2)**2/4
Let b(j) be the first derivative of 5*j**6/6 + 11*j**5 + 165*j**4/4 + 25*j**3/3 - 125*j**2 - 1009. Factor b(p).
5*p*(p - 1)*(p + 2)*(p + 5)**2
Factor 60 - 1/10*g**2 + 149/5*g.
-(g - 300)*(g + 2)/10
Let s(h) be the second derivative of -1/160*h**5 + 0*h**2 - 1/96*h**4 + 2*h + 1/240*h**6 + 1/48*h**3 - 2. Factor s(r).
r*(r - 1)**2*(r + 1)/8
Let n(p) be the third derivative of p**7/630 + p**6/180 - 43*p**5/180 - 10*p**4/9 + 50*p**3/3 + 84*p**2 + 18. Suppose n(h) = 0. Calculate h.
-5, 2, 6
Let q be -11 - (-84)/50*100/15. Let i(z) be the second derivative of -7/45*z**6 - 4/63*z**7 + 0*z**2 + q*z