9778/(-3538))/(26/(-5) + 1). Let s = 1/427 + v. Suppose 0 - 4/3*l**3 - 4/3*l**4 + s*l**5 + 0*l + 4/3*l**2 = 0. Calculate l.
-1, 0, 1
Solve -350*k**3 - 46255 - 53650*k - 5*k**4 - 3530*k**2 - 4905*k**2 + 1936*k**2 + 219*k**2 - 1460*k**2 = 0 for k.
-29, -11, -1
Let k(w) = -4*w + 4. Let x be k(1). Let m be -3*(-3)/9*(x + 0). Factor 0*o + m + 12/5*o**3 + 0*o**4 - 4/5*o**5 - 8/5*o**2.
-4*o**2*(o - 1)**2*(o + 2)/5
Let k(m) be the third derivative of m**8/1008 - 4*m**7/315 - m**6/180 + 4*m**5/45 + m**4/72 - 4*m**3/9 + 1532*m**2. Let k(i) = 0. Calculate i.
-1, 1, 8
Let l(i) be the first derivative of i**5/50 - 23*i**4/30 + 8*i**3 + 144*i**2/5 + 27*i + 139. Let f(v) be the first derivative of l(v). Factor f(o).
2*(o - 12)**2*(o + 1)/5
Let d be (-1625)/75 - (-3 - 19). Solve 2/3*x**2 + d*x - 2/3 - 1/3*x**3 = 0 for x.
-1, 1, 2
Factor -15*y**2 + 714*y - 274 - 29*y**2 - 6 + 4*y**3 + 324*y**2 - 718*y.
4*(y - 1)*(y + 1)*(y + 70)
Let u(t) be the second derivative of 1/15*t**5 + 0 - 31/2*t**2 + 20/3*t**3 + 32*t + 7/6*t**4. Let l(y) be the first derivative of u(y). Solve l(x) = 0 for x.
-5, -2
Let s(l) be the first derivative of -l**3/3 + 51*l**2/2 - 45*l - 135. Let a(z) = z. Let u(c) = -5*a(c) + s(c). Suppose u(b) = 0. Calculate b.
1, 45
Let p be (3/(-2))/(15/(-1)). Let k be (-516)/((-860)/20) - 10. Factor -p*h**k - 4/5*h - 8/5.
-(h + 4)**2/10
Let k(t) = t**2 + 5*t - 3. Let z be k(-7). Suppose -r + z = 7. Let 12*q**r - 6*q**3 - 48*q**2 + 47*q**2 - 19*q**2 + 4*q + 2*q**3 + 8 = 0. Calculate q.
-1, -2/3, 1
Let c(l) = -7*l - 48. Let f be c(-12). Suppose b**2 + 38 + f - 87 - 5*b - 7*b = 0. Calculate b.
-1, 13
Let z(q) be the first derivative of q**4/6 + 82*q**3/9 + 79*q**2/3 + 26*q - 516. Let z(v) = 0. Calculate v.
-39, -1
Suppose 0 = -31*a - 76*a. Let z(q) be the first derivative of 9/4*q**4 + 3/5*q**5 + 0*q**3 + a*q**2 + 0*q - 14. Solve z(o) = 0 for o.
-3, 0
Solve -905*v**2 + 3773 - 258*v - 7*v**3 - 3773 = 0.
-129, -2/7, 0
Let v(a) be the third derivative of 9/5*a**3 + 0 + 9/40*a**4 - 108*a**2 + 1/100*a**5 + 0*a. Factor v(p).
3*(p + 3)*(p + 6)/5
Let x(c) be the second derivative of -c**6/30 - 21*c**5/20 - 14*c**4/3 - 6*c**3 - 20*c - 173. Factor x(n).
-n*(n + 1)*(n + 2)*(n + 18)
Suppose -5*k - 65 + 285 = 0. Let i = k + -24. Let -i + 215*y**2 - 38*y + 38*y + 105*y**3 = 0. What is y?
-2, -1/3, 2/7
Let n(z) be the second derivative of z**4/4 - 167*z**3/2 - 1026*z**2 - 2917*z. Factor n(w).
3*(w - 171)*(w + 4)
Let f(k) be the first derivative of k**5/300 - k**4/60 + k**3/30 + 26*k**2 - 5. Let y(b) be the second derivative of f(b). Find n, given that y(n) = 0.
1
Let j(h) be the first derivative of -16/15*h**5 - 56/9*h**3 + 17/3*h**2 + 27 + 1/9*h**6 + 11/3*h**4 - 8/3*h. Determine u, given that j(u) = 0.
1, 4
Let c(w) be the second derivative of 1042568*w**6/5 + 164616*w**5/5 + 2166*w**4 + 76*w**3 + 3*w**2/2 + 4*w + 387. Factor c(x).
3*(38*x + 1)**4
Let q(h) be the third derivative of -h**6/540 + h**5/54 + 2*h**4/27 - 4*h**3/9 + 1608*h**2. Solve q(b) = 0 for b.
-2, 1, 6
Let h(w) = w + 45. Let d be h(-16). Suppose -19 = -2*r + 3*v, d = r + r - 5*v. Let 18*n**r - 147*n + 165*n - 24 + 15*n**2 - 9*n**3 = 0. What is n?
-1, 2/3, 4
Let i be 152/70 - 6*18/189. Let z = 36/65 - 2/13. Factor 12/5*g**2 + 2/5*g**4 + z - 8/5*g - i*g**3.
2*(g - 1)**4/5
Find j such that 1004/5*j**2 - 16/5*j**5 + 28/5*j**4 - 432/5 - 1536/5*j + 952/5*j**3 = 0.
-6, -2, -1/4, 1, 9
Let p(c) be the second derivative of -25*c**7/21 + 2*c**6/3 + 87*c**5/5 + 40*c**4/3 - 53*c**3/3 + 6*c**2 + 2*c + 610. What is b in p(b) = 0?
-2, -1, 1/5, 3
Let p(l) = 77*l**2 + 446*l - 2919. Let g(i) = -29*i**2 - 149*i + 973. Let w(j) = 8*g(j) + 3*p(j). Solve w(x) = 0 for x.
7, 139
Suppose -2*c + 81 - 15 = 0. Factor c*o - 90*o + 72*o**2 - 2*o**3 + 341 - 81*o - 273.
-2*(o - 34)*(o - 1)**2
Suppose 5*n - 105 + 65 = 0. Suppose -n*y**4 - 3*y - 5*y - y + 5*y + 8*y**2 + 4*y**5 = 0. Calculate y.
-1, 0, 1
Let k(y) be the first derivative of -5*y**3/3 + 3145*y**2/2 - 3140*y - 2181. Solve k(s) = 0 for s.
1, 628
Let f(m) = 17*m**3 - 4*m**2 - 56*m + 83. Let t = 87 + -81. Let l(o) = 4*o**3 - o**2 - 14*o + 21. Let i(n) = t*f(n) - 26*l(n). Factor i(c).
-2*(c - 3)*(c - 2)*(c + 4)
Let z(w) = w**3 - 59*w**2 - 303*w + 11046. Let x be z(61). Suppose -20/7*p**2 - 44/7*p**3 + 0*p - 4*p**4 - 4/7*p**x + 0 = 0. What is p?
-5, -1, 0
Let w(f) = -21*f - 313. Let k be w(-15). Let d(o) be the first derivative of 3/2*o**4 + 13 + 0*o + o**k + 2/5*o**5 + 2*o**3. Suppose d(h) = 0. What is h?
-1, 0
Let r = 1307 - 1309. Let c be (-76)/114*15/r. Let 5/6*p**5 + 25/6*p - c*p**3 + 5 + 5/3*p**4 - 20/3*p**2 = 0. What is p?
-3, -1, 1, 2
Let k(y) = -45*y**3 - 3*y**2 + 13*y + 30. Let q be k(-2). Let i = q - 350. Factor 4 + 16/3*z + 4/3*z**i.
4*(z + 1)*(z + 3)/3
Let w = -122 + 124. Suppose w = 18*v - 70. Solve 4/7 - 24/7*t**2 - 12/7*t**v + 0*t + 32/7*t**3 = 0 for t.
-1/3, 1
Find q such that 5072/7*q**2 + 96/7 + 1184/7*q + 8768/7*q**3 + 5526/7*q**4 + 162*q**5 = 0.
-2, -3/7, -2/9
Let n = -110 - -62. Let c = -45 - n. Find j, given that 15*j**3 - 6*j**c - 2*j + j**4 - 10*j + 2*j**4 = 0.
-2, 0, 1
Let k = -22632 - -22634. Let s(d) be the first derivative of 4*d + 3*d**4 + 16/5*d**5 - 19 - 6*d**k - 20/3*d**3. Factor s(i).
4*(i - 1)*(i + 1)**2*(4*i - 1)
Let n(y) be the first derivative of y**6/50 + 27*y**5/100 + 10*y - 149. Let r(o) be the first derivative of n(o). Factor r(t).
3*t**3*(t + 9)/5
Let l(r) = 7*r**2 - 14252*r - 6083072. Let c(g) = -3*g**2 + 7116*g + 3041536. Let p(a) = 15*c(a) + 7*l(a). Factor p(z).
4*(z + 872)**2
Let z be (200/32 - 7) + -2 + (-549)/(-12). Suppose 2*y - 48 = -y. Factor -43 - y*g + z - 4*g**2.
-4*g*(g + 4)
Factor 3642*v + 4*v**5 + 32*v**4 - 1853*v - 16*v**2 - 1869*v - 19*v**3 + 79*v**3.
4*v*(v - 1)*(v + 2)**2*(v + 5)
Let -1/3*k**4 - 16/3*k**3 + 0 + 0*k + 1/3*k**5 - 20/3*k**2 = 0. Calculate k.
-2, 0, 5
Suppose w + 46 = 232*p - 237*p, 0 = 5*w - 5*p - 70. Factor -w + 1/2*o**2 - o.
(o - 4)*(o + 2)/2
Let -6*d + 57299320 - 230*d**2 - 57299320 = 0. Calculate d.
-3/115, 0
Factor -11*j - 16 - 1/4*j**3 + 19/4*j**2.
-(j - 16)*(j - 4)*(j + 1)/4
Let k(l) = -32*l**3 - 222*l**2 + 24*l + 73. Let y be k(-7). Solve -43*v + 6 + 51/2*v**2 + 783/4*v**y + 243/4*v**4 = 0.
-3, -2/3, 2/9
Let f be (-66)/(-9) - 5106/(-828). Let -117/2*b - 87/2*b**2 - f*b**3 - 3/2*b**4 - 27 = 0. Calculate b.
-3, -2, -1
Let z be (-2*(-2)/12)/(48/(-144)). Let q be 25/10 - z/(-2). Factor 0*y**q + y**3 - 2*y**2 + 2*y**5 + 3*y**3 - 5*y**4 + y**2.
y**2*(y - 1)**2*(2*y - 1)
Suppose -3*y + 32 - 5 = 0. Suppose 3*f - 6 = -0, -4*v = -4*f - 252. Factor -4*u**2 - 24*u + y - 77*u**3 + v*u**3 - 41*u**2.
-3*(u + 1)*(u + 3)*(4*u - 1)
Suppose -2*h + 10450 = y, -2*y + 2868 = -5*h + 28993. What is k in 357*k**2 - 1805 + 208*k**2 + h*k - 2*k**3 + 17*k**3 = 0?
-19, 1/3
Let z(b) = -b**2 + 2*b - 2. Let t(x) = -x**3 - 4*x**2 + 6*x + 14. Let n(y) = -t(y) - z(y). Determine h so that n(h) = 0.
-6, -1, 2
Suppose 97 = -2*z + 103. Factor 0*p**4 + 10*p**2 + 58*p**z + p**4 - 51*p**3.
p**2*(p + 2)*(p + 5)
Let d(v) be the third derivative of -v**8/20160 + v**7/210 + 5*v**6/144 + 11*v**5/60 - 67*v**2. Let o(k) be the third derivative of d(k). Factor o(b).
-(b - 25)*(b + 1)
Suppose 0 + 93/2*a**3 + 87/2*a - 177/2*a**2 - 3/2*a**4 = 0. Calculate a.
0, 1, 29
Let s(w) be the first derivative of w**6/18 - 68*w**5/15 + 107*w**4/4 - 374*w**3/9 - 130*w**2/3 + 168*w - 3409. Factor s(y).
(y - 63)*(y - 2)**3*(y + 1)/3
Suppose 2*x + 12 = -3*v + 7, -4*v - 1 = -3*x. Let j be (v + 2)/((-24)/(-48)). Factor 2/13*w**4 - 6/13*w**j - 10/13*w + 2/13*w**3 - 4/13.
2*(w - 2)*(w + 1)**3/13
Suppose -2/3*z**2 + 24*z**3 - 8*z + 0 - 14*z**4 - 4/3*z**5 = 0. Calculate z.
-12, -1/2, 0, 1
Determine t, given that 432/5*t + 2/5*t**3 - 30*t**2 + 0 = 0.
0, 3, 72
Suppose 2*u + 44 = 4*j - 2*u, -2*u = 3*j - 53. Let h(l) = l**2 - 16*l + 18. Let a be h(j). Suppose a*z**2 - 10 + 3*z + 15 - 5 = 0. What is z?
-1, 0
Let j = 23143/2618 - 445/1309. Factor 1/2*f**4 + j*f**2 + 4*f**3 + 5*f + 0.
f*(f + 1)*(f + 2)*(f + 5)/2
Let v(c) be the first derivative of -3*c**4/20 + 129*c**2/10 - 126*c/5 + 115. Factor v(z).
-3*(z - 6)*(z - 1)*(z + 7)/5
Let a be 260/425*5*((-441)/(-42) + -10). Find m such that 328/17*m**2 + a*m - 30/17*m**3 - 44/17 = 0.
-2/5, 1/3, 11
Suppose 35*b - 48 = 29*b. Find 