
Suppose 0 = -2*k + 2*h + 872, 13*h = -5*k + 12*h + 2186. Factor -84*z - 445 - 342*z**2 - k + 340*z**2.
-2*(z + 21)**2
Suppose 3*n = 5*j - 29, -5*n + 32 = -4*j + 50. Let k(x) be the second derivative of -25/4*x**5 - 2*x + 0 + 5*x**n - 25/2*x**4 - 5/2*x**3. Solve k(l) = 0.
-1, -2/5, 1/5
Let u be ((-128)/36)/(-8) - 77/180. Let k(t) be the third derivative of -1/150*t**5 - 2*t**2 + 0 + u*t**4 + 2/15*t**3 + 0*t. Suppose k(x) = 0. Calculate x.
-1, 2
Let h(t) be the third derivative of -t**6/30 + 74*t**5/3 - 737*t**4/6 + 736*t**3/3 + 553*t**2 + 7. Factor h(p).
-4*(p - 368)*(p - 1)**2
Let a(b) be the first derivative of 1/3*b**4 - 2*b**3 + 3/5*b**5 + 2/15*b**6 - 4*b**2 + 14*b - 9. Let z(u) be the first derivative of a(u). Factor z(v).
4*(v - 1)*(v + 1)**2*(v + 2)
Let z(q) be the second derivative of -4*q**6 - 13*q**5 + 5515*q**4/72 + 475*q**3/18 + 10*q**2/3 - 51*q + 4. What is m in z(m) = 0?
-4, -1/12, 2
Suppose 2*d + 13 = -37. Let o be (-1 + 2)/((-5)/d). Let -26*s**2 + s + 15*s**3 + 18*s**2 + 16*s**2 - 16*s**o + 0*s - 8*s**4 = 0. Calculate s.
-1, -1/4, 0, 1
Let s(d) be the first derivative of -d**3/3 + 2223*d**2/4 + 556*d - 10309. What is p in s(p) = 0?
-1/2, 1112
Let a be ((-26)/(-6) - 2)*198/77. Let x(d) be the first derivative of 3/5*d**5 - 1/9*d**a - 7/6*d**4 - 15 + 0*d - 1/3*d**2 + d**3. Solve x(s) = 0 for s.
0, 1/2, 1, 2
Let b = -36 - -38. Suppose -u = b*z - 11, -5*z - u - u + 25 = 0. What is v in -254*v + 144*v + 131*v - 9 + z*v**3 - 15*v**2 = 0?
1, 3
Let c be ((-48)/(-70))/(((-8)/(-364) + 0)/(160/2080)). What is y in -7/5*y**3 + 0 + 5*y**2 + c*y = 0?
-3/7, 0, 4
Let d be (-519 - -570) + (-228)/5. Factor 0 - 3/5*v**2 + d*v + 3/5*v**4 - 27/5*v**3.
3*v*(v - 9)*(v - 1)*(v + 1)/5
Let a(z) be the first derivative of -4/5*z**2 - 10 + 2/15*z**3 + 8/5*z. Suppose a(h) = 0. Calculate h.
2
Suppose 0 = -4*b + 19 - 19. Let q be b/(-8)*2/2. Factor 0 + q*c + 3/7*c**3 + 0*c**2.
3*c**3/7
Let a(y) be the first derivative of y**3/3 - 23*y**2/2 + 126*y - 671. Factor a(r).
(r - 14)*(r - 9)
Let g(d) be the second derivative of 13*d**6/6 + 49*d**5/4 + 50*d**4/3 - 10*d**3 - d - 193. Factor g(q).
5*q*(q + 2)**2*(13*q - 3)
Let t(v) be the second derivative of -v**5/5 + 47*v**4/6 + 74*v**3/3 + 25*v**2 + 455*v - 1. Solve t(d) = 0.
-1, -1/2, 25
Let z(i) be the first derivative of i**3/5 + 78*i**2 - 108. Factor z(n).
3*n*(n + 260)/5
Let 7700*s**3 + 0*s - 7500*s**2 + 0 - 604/3*s**4 + 4/3*s**5 = 0. What is s?
0, 1, 75
Let m be (-55)/(-77)*(-161)/(-92). Let u(c) be the second derivative of 0 + m*c**5 - 20/3*c**3 + 3*c + 0*c**2 + 15/2*c**4. Factor u(o).
5*o*(o + 4)*(5*o - 2)
Let a = 2438 - 99949/41. Let r = a + 105/82. Factor -1/2*u**2 - r*u - 1.
-(u + 1)*(u + 2)/2
Determine l, given that 1406*l + 1/2*l**2 + 988418 = 0.
-1406
Let m = 136804 - 684019/5. Factor 0 + 17/5*n**2 - 2*n**3 - 8/5*n + m*n**4.
n*(n - 8)*(n - 1)**2/5
Let h be (234/(-13))/((6/(-10))/((-30)/(-80))). Factor 25/2 + 3*m**2 + 1/4*m**3 + h*m.
(m + 2)*(m + 5)**2/4
Factor -g + 23/2*g**2 + 0.
g*(23*g - 2)/2
Let q(s) = 298*s + 7152. Let z be q(-24). Suppose 54/7*d**2 + 4/7*d**3 + z + 26/7*d = 0. Calculate d.
-13, -1/2, 0
Let p = 1007 + -1755. Let k = p - -1273. What is m in 2*m**4 + k*m**5 - 522*m**5 + m**4 = 0?
-1, 0
Let d(c) be the second derivative of c**4/4 + 1336*c**3 + 2677344*c**2 - 505*c. Factor d(n).
3*(n + 1336)**2
Let m(k) be the second derivative of -k**6/30 + 13*k**5/20 + 5*k**4/4 - 13*k**3/6 - 7*k**2 + 179*k + 2. Factor m(a).
-(a - 14)*(a - 1)*(a + 1)**2
Let u(r) be the second derivative of -r**4/12 + 569*r**3/3 - 323761*r**2/2 - 645*r. Determine b, given that u(b) = 0.
569
Factor 30 + 11*o + 0*o**2 + 231*o + 2*o**2 + 110 + 336.
2*(o + 2)*(o + 119)
Let x(u) be the second derivative of u**8/1680 + 4*u**7/315 - 11*u**6/45 + 8*u**5/5 + 49*u**4/6 - 5*u. Let c(l) be the third derivative of x(l). Factor c(d).
4*(d - 2)**2*(d + 12)
Let o(i) = 8*i**2 + 174*i - 1758. Let y(r) be the second derivative of 3*r**4/2 + 349*r**3/6 - 3515*r**2/2 - 41*r. Let u(l) = 13*o(l) - 6*y(l). Factor u(s).
-4*(s - 21)**2
Suppose -13*x = 3*w - 99, 3*w + 3*x - 40 = 29. Let h be 19/(-190) + 82/w. Suppose 0 - 4/15*b**5 + 0*b**3 - 2/15*b**2 + 2/5*b**h + 0*b = 0. Calculate b.
-1/2, 0, 1
Let z(f) be the third derivative of f**7/15 + 92*f**6/5 + 14457*f**5/10 - 6241*f**4/6 + 324*f**2. Find y, given that z(y) = 0.
-79, 0, 2/7
Let i(b) be the second derivative of -b**4/54 - 130*b**3/9 - 4225*b**2 + 831*b. What is a in i(a) = 0?
-195
Let a(d) = -59*d - 586. Let i be a(-10). Let l(j) be the first derivative of 1/38*j**i - 4/19*j - 7 - 8/57*j**3 + 5/19*j**2. What is k in l(k) = 0?
1, 2
Factor -50/9 - 22/9*t**2 + 184/3*t.
-2*(t - 25)*(11*t - 1)/9
Let d be 6/(-11) + (-6975)/341. Let y be (-4)/(-10)*((-51)/d + -1). Factor 0*u**2 + 0 + y*u - 4/7*u**3.
-4*u*(u - 1)*(u + 1)/7
Suppose 6*z = 10*z - s - 60, -2*z + 3*s + 20 = 0. Suppose 5*n - y + 3 = 0, -n = y + 13 - z. Factor 0*p - 1/3*p**2 + 5/3*p**4 + n - 4/3*p**3.
p**2*(p - 1)*(5*p + 1)/3
Let l(u) be the first derivative of -14*u**3 - 125*u**2/2 + 3*u + 2380. Factor l(j).
-(j + 3)*(42*j - 1)
Let v(r) = -r**2 - 6*r + 2. Let j be -2*1/(-1) - (-32)/(-4). Let s be v(j). Suppose -34*d**s + 9*d**2 - 147*d + 7*d**2 - 24*d**2 - 3*d**3 = 0. Calculate d.
-7, 0
Let n be 126/30 + (-423)/(-1410). Factor -3/2*v**2 + n*v + 15.
-3*(v - 5)*(v + 2)/2
Suppose 0 = -3*q, 2*c + 3*q = q + 6. Suppose -1808*x + c*x**3 + 3*x**3 + 1790*x + 15*x**2 - 3*x**4 = 0. What is x?
-2, 0, 1, 3
Let m(j) = j - 6. Let h be m(0). Let s be 1 + 0 + 6 + (h - -2). Factor 133*o**2 + 29*o**s - 63*o**2 - 62*o**2 - 9*o**3.
4*o**2*(5*o + 2)
Find g such that -14 + 481*g**2 + 227*g - 424*g**2 + 10 = 0.
-4, 1/57
Let v(b) = 65 - 18*b + 62*b + 47*b - 16*b. Let a(k) = k**2 + 74*k + 65. Let d(i) = -5*a(i) + 4*v(i). Factor d(z).
-5*(z + 1)*(z + 13)
Let w be ((-16)/(-560))/((-16)/208) - (-4)/5. Factor 0 + 27/7*y - w*y**2.
-3*y*(y - 9)/7
Let t = 1207 - 54314/45. Let v(h) be the second derivative of 2/9*h**3 - t*h**6 + 0*h**2 + 1/18*h**4 + 9*h - 1/15*h**5 + 0. Suppose v(p) = 0. Calculate p.
-2, -1, 0, 1
Let s(t) = -164*t**3 - 8600*t**2 + 39088*t - 8304. Let i(l) = -33*l**3 - 1720*l**2 + 7821*l - 1661. Let z(d) = -16*i(d) + 3*s(d). Solve z(q) = 0 for q.
-52, 2/9, 4
Let r(f) be the second derivative of -5*f**4/24 - 105*f**3 - 6*f - 29. Suppose r(p) = 0. Calculate p.
-252, 0
Let p = -306120 - -306120. Factor -15/4*m**3 + 3/2*m**2 - 3/4*m**5 + 0 + p*m + 3*m**4.
-3*m**2*(m - 2)*(m - 1)**2/4
Factor -1878*f**2 + 342 - 4716*f + 4341*f + 117*f**3 - 6198*f.
3*(f - 19)*(f + 3)*(39*f - 2)
Let h be 114 - 12/(6 + -3). Factor -209*j - 8 + 39*j - h*j**2 + 22 - 4 - 45*j.
-5*(j + 2)*(22*j - 1)
Let m(d) be the third derivative of 10/7*d**3 + 1/14*d**4 - 11/140*d**6 - d**2 - 1/4*d**5 - 85 + 0*d - 3/490*d**7. Find u, given that m(u) = 0.
-5, -2, -1, 2/3
Let c(q) be the first derivative of -63*q**5/20 + 2055*q**4/16 + 253*q**3/2 - 75*q**2 + 2729. Find l, given that c(l) = 0.
-1, 0, 2/7, 100/3
Let s be (4 - 2)*-1 + 40 + -2. What is r in -3*r**4 - 36*r + 6*r**4 - 24 + 58*r**2 - 28*r**2 + 9*r**3 - s*r**2 = 0?
-2, -1, 2
Suppose -4*q = 4*f + 595 + 1573, -q = -4*f - 2153. Let t be f/(-44) + 1/(-8)*2. Factor 23 - t*z + 5*z**3 - 63 + 10*z**2 - 8*z.
5*(z - 2)*(z + 2)**2
Find r, given that -2/7*r**3 + 0 - 72/7*r**2 - 256/7*r = 0.
-32, -4, 0
Let d(n) = -n**2 + 37*n + 322. Let y be d(-7). Suppose -2*q = 3*u, q = -4*u + y - 9. Determine t, given that -u*t**3 - 5/2*t**2 + 0 - t - 1/2*t**4 = 0.
-2, -1, 0
Let u(k) = -k**2. Let f(h) = -213*h - 8*h**2 + 97*h + 104*h + 16. Suppose v + g = 5*v - 18, -4 = -2*v - 2*g. Let s(j) = v*u(j) - f(j). Solve s(w) = 0.
-4, 1
Factor -106/3*c**3 + 35894/15*c**2 + 2/15*c**4 + 0 - 34322/5*c.
2*c*(c - 131)**2*(c - 3)/15
Let l(i) be the third derivative of i**7/1400 - i**6/40 + 3*i**5/8 - 25*i**4/8 - 25*i**3/3 - 4*i**2 + i. Let o(v) be the first derivative of l(v). Factor o(c).
3*(c - 5)**3/5
Let x be (4/11)/(((-22490)/1903)/(-130)). Solve a**5 + 0 + 13/4*a**3 + 53/4*a**x + 0*a + 0*a**2 = 0.
-13, -1/4, 0
Let g be (32/(-20))/((-52)/20 + 3). Let q(l) = l**3 + 56*l**2 - 8. Let k(u) = 3*u**3 + 222*u**2 - 30. Let j(p) = g*k(p) + 15*q(p). Let j(s) = 0. What is s?
0, 16
Let w be (-1519)/(-994) - 2/71. Factor -3/2*u - 1/2*u**2 + 1 - 1/2*u**4 + w*u**3.
-(u - 2)*(u - 1)**