 - 12/17*b = 0. What is b?
-2/19, 0, 1, 3
Let a be ((-111)/4)/((-69)/184). Determine l so that 7*l**3 + 35*l**2 - 222*l**4 + 10*l - 37*l**3 + 20*l**5 + a*l**4 + 113*l**4 = 0.
-1, -1/4, 0, 1, 2
Factor 321/5*z - 3/5*z**2 - 936/5.
-3*(z - 104)*(z - 3)/5
Suppose -3*t - 5*i = -11, 4099*i - 4098*i = 5*t - 9. Suppose -33/5*w**3 - 69/5*w**t + 3*w**4 - 39/5*w - 6/5 + 12/5*w**5 = 0. What is w?
-1, -1/4, 2
Let j(l) be the third derivative of l**6/40 - 37*l**5/30 - 169*l**4/24 + 40*l**3 - 92*l**2 - 2*l - 1. Factor j(g).
(g - 1)*(g + 3)*(3*g - 80)
Let w(a) = -1681*a - 55470. Let q be w(-33). Determine g so that 3/2*g**4 + 9/2*g**3 - q*g**2 - 18*g - 12 = 0.
-2, -1, 2
Let g(d) be the second derivative of d**5/20 - d**4/12 - 4*d**3/3 + 6*d**2 - 347*d. Determine f, given that g(f) = 0.
-3, 2
Suppose -2*y = 0, 0*q + 3 = q + 5*y. Suppose -2*w + 43 = -5. Factor 3*n**3 - 3*n**4 - 14*n**2 - 7*n**2 - q*n**5 + w*n**2.
-3*n**2*(n - 1)*(n + 1)**2
Determine p, given that -214*p - 22*p**2 + 340 - 746 + 130 - 120*p - 184*p = 0.
-23, -6/11
Let u = -259 + 265. Let p(b) = -9*b**4 - 16*b**3 + 11*b**2 - 3*b + 4. Let f(k) = -4*k**4 - 8*k**3 + 6*k**2 - 2*k + 2. Let y(r) = u*p(r) - 13*f(r). Factor y(g).
-2*(g - 1)**4
Let o(h) be the third derivative of -h**8/336 - h**7/84 + h**6/72 + h**5/12 - 67*h**3/2 + 4*h**2 + 24*h. Let r(s) be the first derivative of o(s). Factor r(c).
-5*c*(c - 1)*(c + 1)*(c + 2)
Let u(h) be the third derivative of -h**5/510 - 691*h**4/102 - 477481*h**3/51 - 2*h**2 + 467*h - 2. Find z, given that u(z) = 0.
-691
Suppose -3/2*x**2 - 2232600 - 3660*x = 0. What is x?
-1220
Let t be (-796)/1191*7/(-14). Let o = t - 1/1191. Factor -2 - v**3 - o*v + 10/3*v**2.
-(v - 3)*(v - 1)*(3*v + 2)/3
Let j(r) = -r**3 + 13*r**2 + 28*r + 29. Let h be j(15). Let b be (-548)/(-140) + h - (-10)/35. Factor -14/5*z**4 - 4/5*z**2 + 4/5*z + 2/5 - 4/5*z**5 - b*z**3.
-2*(z + 1)**4*(2*z - 1)/5
Let v = -4/1013 - -1133/30390. Let l(a) be the third derivative of -1/210*a**6 - 4*a**2 + 0*a + 0 + 0*a**3 + v*a**5 - 1/14*a**4. Factor l(w).
-2*w*(w - 2)*(2*w - 3)/7
Let d(r) = 7*r - 86. Let z be d(11). Let p be ((-1148)/z)/7 + 6/(-27). Solve 54 - p*m + 3/2*m**2 = 0 for m.
6
Let p = 298 - 664. Let k = p + 369. Suppose 0*m**2 + 0 + 0*m + 4/5*m**k = 0. What is m?
0
Factor 0 + 87*z**3 + 15 - 15 - 5*z**5 + 40*z**2 - 12*z**3 + 30*z**4.
-5*z**2*(z - 8)*(z + 1)**2
Let o = -107824 - -107827. Determine h so that 0 + 27/7*h**o - 3/7*h**4 - 81/7*h**2 + 81/7*h = 0.
0, 3
Suppose 237*k + 832 - 2154 + 47 = 2517. Factor -1/2*q**2 - k*q - 128.
-(q + 16)**2/2
Factor 20/3*t**2 - 104/3*t + 112/3 + 2/3*t**3.
2*(t - 2)**2*(t + 14)/3
Let z be ((-28)/(-672))/(((-165)/36)/11*8/(-20)). Determine n, given that 3/4*n**2 - z*n**5 + 0 - 1/4*n**3 - 3/4*n**4 + 1/2*n = 0.
-2, -1, 0, 1
Let s = -838355/13 + 64489. Factor 0 + s*d**3 - 8/13*d - 6/13*d**2.
2*d*(d - 4)*(d + 1)/13
Let m(t) be the second derivative of t**7/168 + t**6/24 - 11*t**5/16 + 115*t**4/48 - 11*t**3/4 + 2*t - 178. Solve m(n) = 0 for n.
-11, 0, 1, 2, 3
Let s = 62444 + -62438. Factor -9*f**2 + s*f**3 + 15/2 - 6*f + 3/2*f**4.
3*(f - 1)**2*(f + 1)*(f + 5)/2
Factor -279/10 - 1/10*q**2 - 28*q.
-(q + 1)*(q + 279)/10
Let g = 256 + -262. Let s(n) = 2*n**3 + 12*n**2 + 14*n + 88. Let h be s(g). Determine r so that -12/13*r**2 + 10/13*r**3 + 0*r - 2/13*r**h + 0 = 0.
0, 2, 3
Let q(y) be the second derivative of -y**7/315 + y**6/90 + 47*y**2/2 - 96*y. Let f(l) be the first derivative of q(l). Let f(n) = 0. What is n?
0, 2
Let w(c) = 2*c**5 + 10*c**4 + 6*c**3 - 2*c**2 - 2*c. Let a(p) be the first derivative of -p**6/3 + 53. Let z(f) = 2*a(f) - 2*w(f). Determine v so that z(v) = 0.
-1, 0, 1/2
Solve -26/3*x**2 - 44/3*x - 1/3*x**5 + 40/3 + 23/3*x**3 + 8/3*x**4 = 0 for x.
-2, 1, 10
Let h be 93*((-828)/84 + -5 + 4 + 11). Find k, given that 3*k**2 - h*k**3 - 12/7 + 48/7*k + 36/7*k**4 = 0.
-2/3, 1/4, 1, 2
Let i(r) = -2*r**2 + 2*r + 12. Let a be i(4). Let v be ((-96)/30 - -3) + a/(-35). Factor -1/7*c**2 + v*c + 2/7.
-(c - 2)*(c + 1)/7
Let o(k) = 39*k + 42. Let c be o(-1). Factor -438*n - c*n**5 + 438*n + 27*n**2 - 15*n**4 - 9*n**3.
-3*n**2*(n - 1)*(n + 3)**2
Let j(q) be the third derivative of 0*q - 1/300*q**6 - 4/5*q**4 - 13/150*q**5 + 0 + 55*q**2 - 12/5*q**3. Factor j(p).
-2*(p + 1)*(p + 6)**2/5
Let q(v) = -2*v**3 + 2*v**2 + 3*v - 3. Let s be q(2). Let x be (-39)/9 - (-1)/((-1)/s). Solve -2/3*f - 4/3 + x*f**2 = 0 for f.
-1, 2
Factor -71*b**3 - 4445*b - 4440*b**2 + 290*b**3 - 66*b**3 - 78*b**3 - 70*b**3.
5*b*(b - 889)*(b + 1)
Let o = 20515 + -20511. Let w(v) be the second derivative of 0 + 0*v**2 - 5*v**o - 3/2*v**5 - 1/6*v**6 - 20/3*v**3 - 18*v. Let w(t) = 0. Calculate t.
-2, 0
Let w be (-6)/(-1) - 180/(-80)*32/(-12). Factor w - 1/2*k + k**3 - 1/2*k**5 + 0*k**4 + 0*k**2.
-k*(k - 1)**2*(k + 1)**2/2
Factor 1984/5*i - 2/5*i**2 - 492032/5.
-2*(i - 496)**2/5
Let i(u) = -160703301*u**2 - 87840*u - 12. Let k(v) = 4499692437*v**2 + 2459526*v + 336. Let o(g) = -57*i(g) - 2*k(g). Factor o(q).
3*(7319*q + 2)**2
Let h(q) be the third derivative of -49*q**2 + 35/12*q**3 - 1/120*q**5 + 0 + 17/24*q**4 + 0*q. Determine c so that h(c) = 0.
-1, 35
Let a(o) = -25*o - 30. Let l be a(-1). Let s be l/3 - (1 + (-100)/15). Factor 10/3*d - s + 2/3*d**2.
2*(d - 1)*(d + 6)/3
Let w be ((-3127)/295)/((-1)/5). Let l = -105/2 + w. Solve -1/2*q**2 + l - 1/6*q**3 + 1/6*q = 0 for q.
-3, -1, 1
Let x(d) be the third derivative of d**8/2520 - d**7/42 + 5*d**6/8 - d**5/3 + d**3/3 + 42*d**2. Let h(k) be the third derivative of x(k). Factor h(s).
2*(2*s - 15)**2
Let t(r) be the second derivative of 23*r**6/21 + 82*r**5/5 + 2855*r**4/42 - 50*r**3/21 + 179*r + 1. Factor t(b).
2*b*(b + 5)**2*(115*b - 2)/7
Find y such that 250 - 2285/3*y**2 - 715/3*y**3 - 845/3*y - 25/3*y**4 = 0.
-25, -3, -1, 2/5
Let c(q) be the second derivative of 8*q**7/105 + 2*q**6/15 + q**5/15 + 61*q**2/2 + 42*q. Let g(u) be the first derivative of c(u). Factor g(b).
4*b**2*(2*b + 1)**2
Suppose 456*b + 237*b - 484 = 899 + 3. Find x such that -1/3*x**2 + b*x - 3 = 0.
3
Suppose -3*p + 2*a = 9, -p + 5*a - 2 = 1. Let y = 5 + p. Factor 1 - 8*w - 2*w**y - w**3 + 7 + 3*w**3.
2*(w - 2)*(w - 1)*(w + 2)
Let c be ((-5 - -3) + 2)*(990/108)/55. Factor 0*p + 9/7*p**3 + c - 12/7*p**2 + 3/7*p**4.
3*p**2*(p - 1)*(p + 4)/7
Let i(u) = 24*u + 4. Let s be i(1). Find d such that 16*d**2 + 4 + 5*d**3 - s*d**2 + 9 - d**3 + 3 = 0.
-1, 2
Suppose -158*l = -408*l + 750. Let y(r) be the second derivative of -1/4*r**4 + 3*r + 0 + r**l + 0*r**2. Factor y(a).
-3*a*(a - 2)
Let b(u) be the second derivative of u**8/16800 + 17*u**7/6300 + 2*u**6/225 - 13*u**4/3 + 10*u - 4. Let m(q) be the third derivative of b(q). Factor m(o).
2*o*(o + 1)*(o + 16)/5
Find j such that 81*j**2 + 130*j**2 + 50*j + 95*j**2 + 3 - 259*j**2 = 0.
-1, -3/47
Factor 27/2*m**2 + 3/2*m**3 + 0 - 33*m.
3*m*(m - 2)*(m + 11)/2
Suppose 2*d - 21210 = 5*k - 21236, 5*d - 4*k + 14 = 0. Find y, given that 2/9*y**d + 0 - 28/9*y = 0.
0, 14
What is x in -14673/4*x**3 + 3675*x + 0 - 27/4*x**5 + 315*x**2 - 315*x**4 = 0?
-70/3, -1, 0, 1
Let s be 27/(-3)*(-41)/3198. Let f(p) be the first derivative of -s*p**4 + 0*p**2 - 4/39*p**3 - 2/65*p**5 - 5 + 0*p. Factor f(w).
-2*w**2*(w + 1)*(w + 2)/13
Let h(g) be the first derivative of 3*g**4 + 0*g + 1/3*g**6 + 8/3*g**3 - 2*g**5 - 8*g**2 + 51. Factor h(y).
2*y*(y - 2)**3*(y + 1)
Let i(k) be the first derivative of 4*k**5/5 + 375*k**4 - 1508*k**3 + 2266*k**2 - 1512*k - 2162. Let i(n) = 0. Calculate n.
-378, 1
Let h be (18*(-6)/(-225))/((-264)/55 + 5). Factor -11/5*f + h - 2/5*f**2 + 1/5*f**3.
(f - 4)*(f - 1)*(f + 3)/5
Let m be 6/21 - 16/(-42). Let z(k) = 863*k + 69052. Let b be z(-80). Let -m*t**2 - 54 - b*t = 0. What is t?
-9
Let c be (1 - -1 - (-741)/60) + (-393)/4585*7. What is l in c*l**4 - 81 + 261/2*l + 269/4*l**2 - 3/8*l**5 - 1041/8*l**3 = 0?
-1, 2/3, 1, 18
Factor 11/3*j - 1/3*j**2 + 14.
-(j - 14)*(j + 3)/3
Let n = 549821/9 + -61890. Let c = n - -799. Find w, given that -4/3*w - c*w**2 - 10/9 = 0.
-5, -1
Let r(m) be the second derivative of -2/9*m**3 - 1/3*m**2 - 1/18*m**4 + 0 + 5*m. Suppose r(y) = 0. Calculate y.
-1
Let f = 2250 - 1574. Factor 305*j + 323*j - 4*j**2 - f*j - 44.
-4*(j + 1)*(j + 11)
Find k such that -184/5*k - 4/5*k**2 + 588/5 = 0.
-49, 3
Let d = 39 + -35. Suppose -d*c 