ctor v(s).
-(s - 35)*(s + 15)/2
Let o be (-30)/795 + 21008/530. Determine j so that -2/5*j**3 + 162/5 + 38/5*j**2 - o*j = 0.
1, 9
Suppose 31*y = 8*y + 25553. Let n = y + -1111. Factor -1/3*r**4 + r**3 + n + 0*r**2 - 4/3*r.
-r*(r - 2)**2*(r + 1)/3
Factor -1/3*y**4 - 8/3*y + 10/3*y**2 - 3 + 8/3*y**3.
-(y - 9)*(y - 1)*(y + 1)**2/3
Let w(l) be the third derivative of -l**5/15 + 59*l**4/2 - 352*l**3/3 - 19*l**2 - 25*l + 2. Factor w(b).
-4*(b - 176)*(b - 1)
Let r(b) = b**3 + 229*b**2 + 5*b + 1145. Let x be r(-229). Let h = -10 - -13. Find f such that -1/10*f**5 + 0 + x*f - 6/5*f**h - 4/5*f**2 - 3/5*f**4 = 0.
-2, 0
Let c(t) be the first derivative of t**4/4 + 2*t**3 - 145*t**2/2 - 150*t - 800. Find f such that c(f) = 0.
-15, -1, 10
Let g(x) be the third derivative of -3*x + 36*x**2 + 1/120*x**6 + 0*x**4 - 1/210*x**7 + 1/60*x**5 + 0*x**3 - 1/336*x**8 + 0. Factor g(y).
-y**2*(y - 1)*(y + 1)**2
Let b(u) = u**4 + u**3 + 6*u**2 + u - 1. Let i(y) = y**5 - 49*y**4 + 525*y**3 + 611*y**2 - 530*y - 574. Let k(q) = -10*b(q) - 5*i(q). What is z in k(z) = 0?
-1, 1, 24
Let j(d) be the third derivative of -d**5/90 - 14*d**4/3 - 332*d**3/9 + 199*d**2. Factor j(r).
-2*(r + 2)*(r + 166)/3
Let r = 145688 - 437056/3. Factor r*c**2 - 2/3*c - 2/3*c**3 - 4.
-2*(c - 3)*(c - 2)*(c + 1)/3
Determine o, given that 20*o**5 + 96*o**4 + 51*o**4 + 105*o**4 + 75*o**2 + 0*o**2 + 676*o**3 + 153*o**2 - 216*o = 0.
-9, -3, -1, 0, 2/5
Let m be -4 + -5 + 2 - -17. Factor -m + 2*k - 15*k**3 + 53*k**3 - 135*k**2 + 63*k - 35*k**4 + 21*k**3 + 56*k**3.
-5*(k - 1)**3*(7*k - 2)
Let c be (12/44)/(585/143 - 4). Let q be 9/10 - (-2)/(-4). Factor -1/5*n**c - q - 4/5*n**2 - n.
-(n + 1)**2*(n + 2)/5
Let w(r) be the third derivative of -2/33*r**4 - 5*r**2 + 4/11*r**3 + 0*r + 2 + 1/330*r**5. Factor w(u).
2*(u - 6)*(u - 2)/11
Suppose 5*g = i + 5, 4*i = 6*i - 4*g - 2. Suppose i*p = 3*c + 2*c, -5*c + 3 = -4*p. Factor -6*r**4 - 3*r**3 - 6*r**c + 349*r**5 - 346*r**5.
3*r**3*(r - 3)*(r + 1)
Find m such that -111 + 353 + 4*m**2 + 140*m - 106 = 0.
-34, -1
Factor -3/4*b**3 + 0 - 351/2*b - 357/4*b**2.
-3*b*(b + 2)*(b + 117)/4
Suppose 11*b + 825 = 3289. What is m in b*m**3 - 28*m**2 - 244*m**3 - 60*m**2 - 2*m - 30*m = 0?
-4, -2/5, 0
Solve -4/7*u**4 + 4*u**2 + 0 + 24/7*u**3 + 0*u = 0.
-1, 0, 7
Let y(l) be the first derivative of 0*l + 1/4*l**4 - 2/3*l**3 + 0*l**2 + 70. Factor y(p).
p**2*(p - 2)
Let f = -249974/35 - -50020/7. Solve 3/5*d**4 - 9/5*d**2 - 168/5*d + f*d**3 - 144/5 = 0 for d.
-4, -1, 3
Let v = -12062 - -12066. Suppose 5*h = -0*h. What is l in h*l**3 + 4/7*l**5 - 4/7*l + 8/7*l**2 + 0 - 8/7*l**v = 0?
-1, 0, 1
Suppose 3*n + 30 = 30. Suppose 5*b + o - 12 = 0, n = 2*o - 1 - 3. Suppose 1015 - 5*t**b - 1015 = 0. Calculate t.
0
Let x(l) = 13*l**2 + 3908*l - 764405. Let b(q) = 490*q**2 + 144595*q - 28282985. Let k(f) = 2*b(f) - 75*x(f). Solve k(i) = 0 for i.
391
Let f be ((-6)/16)/((-23)/(-184)) + 194 + -149. Determine x so that 1/4*x**2 - f*x + 1764 = 0.
84
Let c(t) be the second derivative of -t**7/84 - 13*t**6/60 - 11*t**5/10 + 2*t**4/3 + 16*t**3 + 36*t**2 - 828*t. Let c(m) = 0. Calculate m.
-6, -2, -1, 2
Let y(p) = 3*p**2 + 5*p - 2. Let f(z) = -20*z**2 - 12*z - 64. Let x(a) = -f(a) - 7*y(a). Let x(n) = 0. What is n?
-26, 3
Suppose -5*c + 3*q - 99 = 0, -7*c - 5*q = -11*c - 87. Let z be 3/(-2) + 2 + (-297)/c. Factor 11*d**4 - 3*d**4 + 13*d**3 - 4*d**5 - z*d**3.
-4*d**3*(d - 1)**2
Suppose -1540 = 4*x - 5*b - 6472, b = -3*x + 3680. Let h = 1230 - x. Solve -3/2*u + 1/4*u**3 + 0 + 1/4*u**h = 0.
-3, 0, 2
Suppose -2*n = 4*p - 2, -355*n + 354*n - 5 = p. Factor 0 + p*z**3 - 3/2*z**4 + 0*z - 9/2*z**2.
-3*z**2*(z - 3)*(z - 1)/2
Let h = 96453487/4538988 + 2/1134747. Factor 0 - 5/4*t**5 - 25/2*t**4 - h*t**3 + 0*t - 10*t**2.
-5*t**2*(t + 1)**2*(t + 8)/4
Let q(z) be the first derivative of -9*z**5/20 - 6*z**4 - 325*z**3/12 - 169*z**2/4 + 587. Let q(t) = 0. What is t?
-13/3, -2, 0
Suppose -4*n + 6 = -2*p, -5*n - 11*p + 7*p = 12. Suppose n = -3*u - s, 3*u = -15*s + 16*s. Solve 4/3*v**3 + 0*v + u*v**2 + 0 = 0.
0
Let t(c) be the third derivative of -c**6/180 + c**5/6 - 3*c**4/4 - 107*c**3/6 + 25*c**2 - 3. Let p(q) be the first derivative of t(q). Factor p(o).
-2*(o - 9)*(o - 1)
Let r = -8165/2 - -2551. Let b = r - -1532. Factor 0*g - 1/2*g**2 + b.
-(g - 1)*(g + 1)/2
Factor 246 + 37 - 46 + 1239*c**2 - 3 + 147*c**3 - 1794*c + 174.
3*(c - 1)*(7*c - 2)*(7*c + 68)
Let n be ((-84)/(-63))/(-2*(-3)/18). Solve -2*r - 29*r + 32 - 8*r**2 + 28*r**3 - 14*r - 3*r - n*r**5 = 0.
-2, 1, 2
Determine i so that -i**3 - 1350212*i - 1641*i**2 - 63339395 + 452585*i - 42881881 - 57446047 = 0.
-547
Let f(k) = 17*k**4 + 37*k**3 - 77*k**2 + 59*k - 72. Let m(r) = -7*r**4 - 15*r**3 + 31*r**2 - 24*r + 30. Let n(a) = 5*f(a) + 12*m(a). What is y in n(y) = 0?
-7, 0, 1
Let b(r) = 4*r**4 + 18*r**3 + 22*r**2 + 2*r. Let j(g) = -11*g**4 - 52*g**3 - 65*g**2 - 3*g. Let p(n) = -7*b(n) - 2*j(n). Suppose p(o) = 0. What is o?
-2, -1, -2/3, 0
Let m(r) be the second derivative of -r**4/3 - 60*r**3 + 182*r**2 - 102*r - 6. Let m(w) = 0. Calculate w.
-91, 1
Let q(o) be the first derivative of o**7/1260 - o**6/135 - o**5/15 - 68*o**3/3 + 64. Let z(n) be the third derivative of q(n). Factor z(g).
2*g*(g - 6)*(g + 2)/3
Solve 4305/4*s**2 + 118199515/4 + 5/4*s**3 + 1235535/4*s = 0.
-287
Let p(g) be the third derivative of g**8/560 + g**7/350 - g**6/40 + 3*g**5/100 - g**2 + 104*g + 7. Factor p(y).
3*y**2*(y - 1)**2*(y + 3)/5
Determine f, given that -122/5*f + 2/5*f**2 + 0 = 0.
0, 61
Let z be ((-1109)/(-86502))/((-2)/(-4 - 48)). Factor 0 - 8/3*i**3 + 3*i**2 - z*i**4 + 0*i.
-i**2*(i - 1)*(i + 9)/3
Determine g so that -18/7 - 2/7*g + 2/7*g**3 + 18/7*g**2 = 0.
-9, -1, 1
Suppose 7732*z = 7639*z + 465. Solve -2/15*r**z - 56/15*r - 16/5*r**2 + 4/5*r**4 + 22/15*r**3 + 0 = 0 for r.
-2, -1, 0, 2, 7
Factor 13872 + 1/3*f**2 - 136*f.
(f - 204)**2/3
Let n(d) = d**2 - 17*d + 52. Let l be n(13). Let w(g) be the third derivative of 2/45*g**5 + 1/36*g**4 + l*g**3 + 0 + 1/60*g**6 + 0*g - 4*g**2. Factor w(k).
2*k*(k + 1)*(3*k + 1)/3
Suppose -5*q - 2*z + 1 = 0, 5*q - z - 5 = 2*q. Let b be (44/(-66))/(q/(-3)). Suppose 2/7*k**3 - 6/7*k - 4/7 + 0*k**b = 0. What is k?
-1, 2
Let i(b) = -b**2 + 3. Let n(j) = -10*j**2 + 0*j**2 - j**2 + 26*j - 40 + j**2. Let p(l) = -12*i(l) - n(l). Factor p(f).
2*(f - 1)*(11*f - 2)
Determine o so that -669 + 1648*o**2 - 92*o**3 + 7496*o + 21 - 14804*o = 0.
-2/23, 9
Let t(v) be the third derivative of -v**5/300 + 41*v**4/120 - 44*v**3/5 - 3*v**2 + 2255. Factor t(z).
-(z - 33)*(z - 8)/5
Suppose 64/3 + 52/3*b**3 - 22/3*b**4 - 208/3*b + 24*b**2 = 0. Calculate b.
-2, 4/11, 2
Let z(h) be the third derivative of 25/168*h**8 + 27/5*h**6 - 92/15*h**5 - 34/21*h**7 + 0*h**3 - 17*h**2 - 3 + 0*h + 8/3*h**4. Determine j, given that z(j) = 0.
0, 2/5, 2, 4
Let r(g) = g**2 - 6*g + 246. Let p be r(0). Suppose -251*u + p*u = -15. Factor -4/17*x**u + 0*x - 2/17*x**2 + 0.
-2*x**2*(2*x + 1)/17
Find k, given that -1146/5 - 21/5*k**2 + 4017/5*k = 0.
2/7, 191
Suppose 50*t + 4*q - 8 = 48*t, -3*t + 8 = 4*q. Let y(o) be the third derivative of 0 - 11*o**2 + t*o**3 + 0*o + 1/6*o**4 + 1/30*o**5. What is k in y(k) = 0?
-2, 0
Suppose 4*l + 0*l = -k + 20, 5*l = 5*k - 25. Find h such that 20*h**2 - 7*h**2 + 100 - k*h**2 - 45*h = 0.
4, 5
Let m be ((-279)/12)/((-15)/20). Let -252*h**3 - m*h**2 - 9*h + 107*h**2 - 27*h**4 - 21*h + 101*h**2 = 0. Calculate h.
-10, 0, 1/3
Let p(v) = 3096*v - 5*v**2 + 4*v**2 - 3095*v. Let g(h) = 9*h**2 + 150*h + 2028. Let m(s) = g(s) + 6*p(s). Find z, given that m(z) = 0.
-26
Let d(g) be the first derivative of -4*g**5/5 + 13*g**4 - 32*g**3/3 - 104*g**2 + 192*g - 1320. Determine y so that d(y) = 0.
-2, 1, 2, 12
Let m(v) = -v**2 + 1293*v + 214888. Let y be m(-149). What is h in 54 - y*h + 2*h**2 + 2/3*h**3 = 0?
-9, 3
Let l be (-90)/27*((-264)/20)/11. Let d(a) be the first derivative of 0*a + 4/13*a**2 - 1/26*a**l + 6 + 0*a**3. Find x, given that d(x) = 0.
-2, 0, 2
Let z be 382/(-319) + ((-2)/2)/(-1). Let i = 11/29 + z. Factor 2/11*t - i*t**2 + 0.
-2*t*(t - 1)/11
What is y in -39*y**3 + 448*y - 907*y - 231*y**2 - 270 - 3*y**4 - 6*y**3 = 0?
-6, -5, -3, -1
Suppose 0 = -19*f + 9*f + 23130. Factor 18*h**2 + 2311*h**3 - 30*h - 24 - 26 - f*h**3.
-2*(h - 5)**2*(h + 1)
Let m(h) be the second