0, 1
Let v = 171 + -163. Find s, given that 2*s + 12 + 4*s**3 - 22*s**2 + 4*s**3 - 10*s**3 + 2*s**4 + v*s**2 = 0.
-2, -1, 1, 3
Let a(k) = -566*k + 570. Let g be a(1). Let w(m) be the third derivative of g*m**2 + 0 - 1/60*m**5 + 5/3*m**3 + 0*m + 1/8*m**4. Factor w(i).
-(i - 5)*(i + 2)
Let r(k) be the second derivative of -4/33*k**4 + 1/231*k**7 - 42 + 8/165*k**6 + 2*k - 16/33*k**3 + 3/22*k**5 + 0*k**2. Determine z so that r(z) = 0.
-4, -1, 0, 1
Suppose 2 = -4*u - 2*x + 4*x, -u - 3*x = -17. Suppose 2*n**4 - 69*n**u + n**4 - 8*n + 65*n**2 + 8*n**3 + n**4 = 0. Calculate n.
-2, -1, 0, 1
Let q be ((-27246)/1673)/(45/(-1596)). Solve -q - 152/5*s - 2/5*s**2 = 0.
-38
Let h = -4693 + 4695. Let t = -7 - -22. Factor 3/5*g**h - 6*g + t.
3*(g - 5)**2/5
Let 2/3*r**2 - 148*r + 442/3 = 0. Calculate r.
1, 221
Let n(z) be the third derivative of 2*z**2 + 1/42*z**5 + 0 + 4*z - 44/21*z**3 - 9/7*z**4. Let n(j) = 0. What is j?
-2/5, 22
Suppose -23*p + 76 = -62. Let n be 4/(-6)*(p - 12). Determine x so that x**n - x**2 + 1/3*x**3 - 2/3*x + 0 + 1/3*x**5 = 0.
-2, -1, 0, 1
Factor -6772/7*d + 4/7*d**2 - 968.
4*(d - 1694)*(d + 1)/7
Let w(p) be the second derivative of p**6/720 - p**5/90 - p**4/36 + 4*p**3/9 + 61*p**2/2 + p. Let u(v) be the first derivative of w(v). Factor u(t).
(t - 4)*(t - 2)*(t + 2)/6
Let j(k) = k**3 - 17*k**2 + 17*k - 14. Let a be j(16). Find r such that -20*r**3 - 19*r**3 + 3*r**3 + 4*r**4 + 96*r**a - 64*r = 0.
0, 1, 4
Let w(j) = 2*j**3 + 16578*j**2 + 45838266*j + 42232239491. Let t(h) = 4*h**3 + 33158*h**2 + 91676502*h + 84464478981. Let a(c) = 3*t(c) - 5*w(c). Factor a(n).
2*(n + 2764)**3
Let b(g) = 10*g**3 - 305*g**2 + 575*g - 300. Let a(d) = -11*d**3 + 304*d**2 - 569*d + 300. Let h(x) = -5*a(x) - 6*b(x). Factor h(c).
-5*(c - 60)*(c - 1)**2
Suppose -13*d = -12*d + b - 154, -2*d = b - 307. Let m be 17/d - (-5)/117. Factor -12/13*n**2 + 0 - m*n**4 - 14/13*n**3 + 0*n.
-2*n**2*(n + 1)*(n + 6)/13
Let x be 168*162/3024 + 17/(-3). Solve 0*d + 2/3*d**5 + x*d**3 + 0 + 16/3*d**4 - 100/3*d**2 = 0 for d.
-5, 0, 2
Let a = 1258937/7 + -179847. What is c in 0 - 2/7*c**3 - 4*c**2 + a*c**4 - 18/7*c = 0?
-1, 0, 9/4
Factor 0 + 0*c + 4100/17*c**2 + 2/17*c**3.
2*c**2*(c + 2050)/17
Let d be 11/((-15180)/(-1390)) - 1. Let k(r) be the second derivative of -4/69*r**3 + 0 + 4/23*r**2 + d*r**4 + 10*r. Factor k(l).
2*(l - 2)**2/23
Let q(k) = -5*k**5 + 3*k**4 - 32*k**3 - 105*k**2 - 122*k - 45. Let y(n) = -2*n**5 + n**4 - n**2 - 3*n - 1. Let z(x) = -q(x) + 3*y(x). Find u such that z(u) = 0.
-3, -2, -1, 7
Let o(n) be the first derivative of 24 + 6/5*n**5 - 6*n**2 + 27/4*n**4 + 0*n + 3*n**3. Suppose o(x) = 0. What is x?
-4, -1, 0, 1/2
Let w(o) be the first derivative of -o**6/2 + 123*o**5/5 - 1065*o**4/4 - 1321*o**3 - 2112*o**2 - 1452*o + 4108. Factor w(d).
-3*(d - 22)**2*(d + 1)**3
Suppose 4*p - 555 = -h, -2*p + 5*h = 3*h - 270. Suppose -p*c + 125*c = -26. Factor -2/3*j + 4/3*j**c + 0 - 2/3*j**3.
-2*j*(j - 1)**2/3
Let z(d) = -d**3 - 6*d**2 - 3*d - 11. Let b be z(-6). Suppose -43 + 36 - 62*h - 53 - 6*h**4 + h**4 + 62*h**3 + 58*h**2 + b*h**4 = 0. Calculate h.
-30, -1, 1
What is l in 1/2*l**2 + 3/2*l - 5 = 0?
-5, 2
Let y = -106760 + 1601402/15. What is p in -y*p**3 + 0 + 0*p - 2/15*p**5 + 0*p**2 + 4/15*p**4 = 0?
0, 1
Let u(d) = 25*d**3 - 72*d**2 - 540*d - 1204. Let f(i) = -168*i**3 + 504*i**2 + 3780*i + 8427. Let o(t) = -4*f(t) - 27*u(t). Let o(z) = 0. What is z?
-10, -4
Let 0*n - 9*n**2 + 0 - 48/5*n**3 - 3/5*n**4 = 0. What is n?
-15, -1, 0
Let t = -3435 - -3252943/947. Let v = t - -1908/6629. Suppose 0 + v*a**3 + 0*a + 2/7*a**2 = 0. Calculate a.
-1, 0
Let v be 5*1/(-6)*(-3 - 3). Suppose -v*n = 4*g - 101, 3*n + 21 = g - 0*n. Factor 5*m**2 - 11*m + 3*m**2 + 4*m**3 - 9*m - g.
4*(m - 2)*(m + 1)*(m + 3)
Suppose -6*c + 2*c = 0. Let i be 16 + (-264)/(-216) - 17. Determine d, given that c*d + 2/9*d**3 + 0 - i*d**4 + 0*d**2 = 0.
0, 1
Let j(s) = -4*s**3 + 4*s + 6*s**2 + 10 + 5*s + 3*s**3 - 2*s. Let u be j(6). Factor -u - 6*t**3 + 4 + 36*t**2 + 16*t - 4*t**4 + 6*t**3.
-4*(t - 3)*(t - 1)*(t + 2)**2
Determine s so that -152*s - 37*s - 20 - 12*s**2 + 153*s + 4*s**3 = 0.
-1, 5
Let a(w) = 4*w**2 - 116*w - 244. Let m be a(31). Let j(l) be the third derivative of 5/72*l**m - 16*l**2 + 1/3*l**3 - 1/180*l**5 + 0 + 0*l. Factor j(v).
-(v - 6)*(v + 1)/3
Factor 46*l**3 - 39*l**3 - 67*l**3 + 143*l**2 + 3*l**4 - 54*l - 32*l**2.
3*l*(l - 18)*(l - 1)**2
Let p be 180/25*3/(-18)*1004. Let f = 1205 + p. Factor 2/5*j - 3/5*j**2 + f*j**3 + 0.
j*(j - 2)*(j - 1)/5
Suppose 300*h + 15*h**4 - 44*h**2 - 144 - 124*h**2 + 15163*h**3 - 15166*h**3 = 0. Calculate h.
-4, 1, 6/5, 2
Let p be (-6)/105*-133 + 4/10. Suppose 0 = 4*w + 3*l + 12, -13*l + 15*l + p = 5*w. Suppose 0 + d**4 - 1/4*d**3 - 3/4*d**2 + w*d = 0. Calculate d.
-3/4, 0, 1
Solve 1280*l + 788*l**2 + 0 - 2244/5*l**3 + 44*l**4 + 4/5*l**5 = 0.
-64, -1, 0, 5
Suppose -14 = -2*k + 2*x, -4*k - 4*x + 22 = -6. Let i(o) be the first derivative of -16/3*o - 52/3*o**2 + 49/6*o**4 - 140/9*o**3 + k. Factor i(w).
2*(w - 2)*(7*w + 2)**2/3
Suppose -34 + 41*c - 25*c**4 - 9*c - 104*c**3 + 28*c**2 + 31*c**4 + 72*c = 0. Calculate c.
-1, 1/3, 1, 17
Let f(i) = -4*i**4 + 3*i**3 + 7*i**2 - 3. Let g(p) = 8*p**4 - 7*p**3 - 15*p**2 + 7. Let r(u) = 7*f(u) + 3*g(u). Suppose r(d) = 0. What is d?
-1, 0, 1
Let -49*p - 17*p + 68*p - 27*p + 410*p**2 = 0. What is p?
0, 5/82
Let t(i) be the first derivative of -i**5/30 - 11*i**4/20 + 14*i**3/15 - 17*i**2 + 77. Let l(m) be the second derivative of t(m). Factor l(p).
-2*(p + 7)*(5*p - 2)/5
Let j(n) be the second derivative of -2*n**7/35 + 44*n**6/75 + 19*n**5/25 - 22*n**4/15 - 32*n**3/15 + 1300*n + 1. Solve j(r) = 0 for r.
-1, -2/3, 0, 1, 8
Suppose 165 = 14*k - 3*k. Suppose 0 = k*d - 12*d - 9. Factor 3*c**4 + 60*c + 54*c**2 + 21*c**d + 3 + 0 + 21.
3*(c + 1)*(c + 2)**3
Factor 2/15*s**3 - 8/15*s**2 - 1564/15 - 806/15*s.
2*(s - 23)*(s + 2)*(s + 17)/15
Let a(i) be the first derivative of i**5/80 + i**4/12 + i**3/8 + 74*i - 79. Let c(h) be the first derivative of a(h). Factor c(k).
k*(k + 1)*(k + 3)/4
Let q(c) be the second derivative of -1/6*c**3 - 1/3*c**2 + 3 - 1/36*c**4 + c. Determine j so that q(j) = 0.
-2, -1
Let z(i) be the second derivative of 13/2*i**2 - 2/15*i**5 + 0*i**3 + 1/4*i**4 + 1/60*i**6 - 3*i + 0. Let s(f) be the first derivative of z(f). Factor s(l).
2*l*(l - 3)*(l - 1)
Let i(m) = 7*m**3 - 2*m**2 + 2*m - 5. Let o be i(2). Let c be -8*(-3)/32*(-1 + o). Find l, given that -45*l + 27/2 - 48*l**2 + 39*l**3 + c*l**4 + 6*l**5 = 0.
-3, -1, 1/4, 1
Let m be 1230/(-492) + -35*(-3)/6. Let j(l) be the second derivative of m*l - 5/2*l**3 + 5/12*l**4 + 5*l**2 + 0. Factor j(y).
5*(y - 2)*(y - 1)
Let -486/5 - 30*x**3 + 27/5*x + 72*x**2 + 3/5*x**5 + 6/5*x**4 = 0. What is x?
-9, -1, 2, 3
Suppose 0*u + 9 = -u + q, -4*u + 5*q - 41 = 0. Let x be u/18 + 9/(162/76). Factor 22*c**2 - 12*c - 48*c**x + 21*c**2 - 12 - 16*c**3 + 13*c**2 + 28*c**5 + 4.
4*(c - 1)**3*(c + 1)*(7*c + 2)
Let m(y) be the first derivative of y**6/420 - 2*y**5/105 + y**4/28 - 3*y**2 + 16*y - 143. Let b(i) be the second derivative of m(i). Factor b(g).
2*g*(g - 3)*(g - 1)/7
Suppose 0 = -5*k + 12 - 12. Factor k*c + 12*c**2 + 8*c + 407*c**3 - 403*c**3.
4*c*(c + 1)*(c + 2)
Let g(x) be the first derivative of x**4/10 + 464*x**3/15 - 467*x**2/5 + 468*x/5 - 1727. Suppose g(c) = 0. Calculate c.
-234, 1
Suppose 268*c = 2118*c. Suppose -2/11*m + 0 + c*m**2 + 0*m**4 - 2/11*m**5 + 4/11*m**3 = 0. Calculate m.
-1, 0, 1
Factor 21*i - 1 + 40 + 6 - 10*i**2 - 11*i**2 + i**3 + 2*i**3.
3*(i - 5)*(i - 3)*(i + 1)
Factor 1048576/9 + 176/9*m**4 + 19456/9*m**2 + 4640/9*m**3 + 2/9*m**5 - 425984/9*m.
2*(m - 4)**2*(m + 32)**3/9
Let t(y) = y**3 + y**2 - 2. Let d(s) = -s**3 + 1. Let g(k) = -2*d(k) - t(k). Let h(x) = 6*x**3 - 15*x**2 - 12*x. Let r(f) = 9*g(f) + h(f). Factor r(i).
3*i*(i - 2)*(5*i + 2)
Suppose 0 = 114704*q - 114513*q. Factor q + 1/2*c**5 + 7*c**2 - 5/2*c - 6*c**3 + c**4.
c*(c - 1)**3*(c + 5)/2
Solve 539/5*v + 1/5*v**2 + 1074/5 = 0.
-537, -2
Solve -112*k**4 + 5*k**3 + 120 - 20*k + 2*k**3 - 2*k**3 + 63*k**4 + 54*k**4 - 50*k**2 = 0.
-3, -2, 2
Let j(u) be the second derivative of -u + 31/24*u**3 + 1/80*u**5 - 3 - 15/8*u**2 - 17/48*u**4. What is p in j(p) = 0?
1, 15
Suppose s - 1780 = -3*r, 27*r - 3*s + 11