w. Factor j(u).
5*(u - 4)*(u + 1)/3
Let w(a) = -2*a**2 - 8*a + 21. Let l(v) = 11*v**2 + 48*v - 124. Let o be (-104)/6*-2 + 2/(-3). Let y(f) = o*w(f) + 6*l(f). Factor y(c).
-2*(c - 5)*(c - 3)
Let t be 204/8 + (142 - 166). Suppose -4 = -l + 2*n, 0*l + 5*l = n + 2. Find p such that t*p**3 - 9/4*p**2 + 3/4*p + l = 0.
0, 1/2, 1
Let x = -3/272 - -2129/20400. Let c(q) be the second derivative of 0 + 3/10*q**4 - 2/5*q**2 + 9*q - 1/10*q**5 - x*q**6 + 1/3*q**3. Suppose c(s) = 0. What is s?
-1, 2/7, 1
Let k(u) be the second derivative of -u**5/30 - 5*u**4/18 + 77*u**3/9 + 147*u**2 + 1542*u. Determine p so that k(p) = 0.
-7, 9
Let f(u) = -u**2 + 4*u + 6. Let l(r) = -r**2 + r. Let p(n) = -f(n) - 2*l(n). Let c be p(-1). Factor 48*m**2 - 216*m + 0*m**c - 4*m**3 + 146 + 110 + 24*m.
-4*(m - 4)**3
Let g be -3*157740/378 - (-2)/(-21). Let u = g - -1254. Let -48 - 8*p - 1/3*p**u = 0. Calculate p.
-12
Let x(d) be the second derivative of -d**7/336 - d**6/16 - 43*d**5/80 - 59*d**4/24 - 13*d**3/2 - 10*d**2 + 2991*d. What is z in x(z) = 0?
-5, -4, -2
Factor -2/15*u**4 - 28/15*u + 0 - 32/15*u**3 - 58/15*u**2.
-2*u*(u + 1)**2*(u + 14)/15
Let a(c) = -c**4 + 17*c**3 - 3*c**2 - c - 1. Let u(q) = q**4 + 167*q**3 + 715*q**2 + 1113*q + 501. Let f(r) = 3*a(r) - u(r). Determine i, given that f(i) = 0.
-21, -6, -1
Let f(l) be the second derivative of 0*l**2 + 2/15*l**5 + 0 + 1/45*l**6 - 2/9*l**4 - 16/9*l**3 + 81*l. Factor f(y).
2*y*(y - 2)*(y + 2)*(y + 4)/3
Let f(x) be the first derivative of -1/3*x**2 - 4/9*x - 2/27*x**3 + 42. Find g such that f(g) = 0.
-2, -1
Let d be (96/(-84)*1)/((-20)/70). Solve -21/4*p**2 - 1/2*p**4 + d*p + 11/4*p**3 - 1 = 0.
1/2, 1, 2
Solve 395/4*f**3 + 35/4*f**5 + 0 - 13*f + 243/2*f**4 - 27*f**2 = 0 for f.
-13, -1, -2/7, 0, 2/5
Let h(l) be the second derivative of -l**4/15 - 442*l**3/5 - 1324*l**2/5 + 2191*l. Determine q, given that h(q) = 0.
-662, -1
Let y be (-17 - 9834/(-132)) + -57. Let 13/2*z - y*z**2 - 6 = 0. What is z?
1, 12
Let j = 12325 - 12321. Let i(c) be the second derivative of 0 + 0*c**2 - 23*c + 1/30*c**j + 2/15*c**3. Factor i(g).
2*g*(g + 2)/5
Suppose -1/2*h**3 - 411/2*h + 73/2*h**2 + 603/2 = 0. What is h?
3, 67
What is n in 425*n**2 - n**3 - 20*n - 776*n**2 + 389*n**2 - 85*n = 0?
0, 3, 35
Let i(r) = -r**3 - 18*r**2 + 88*r + 45. Let s be i(-22). Factor -1466*o**2 + 1460*o**2 - 13 - s + 64*o.
-2*(o - 1)*(3*o - 29)
Suppose -36 = -4*r - 24. Find q such that 4/9*q**r - 8/9*q + 4/9*q**2 + 0 = 0.
-2, 0, 1
Let v(a) be the third derivative of a**8/1680 + a**7/75 - 37*a**6/300 - 2*a**5/25 + 15*a**4/8 + 27*a**3/5 - 45*a**2. Suppose v(h) = 0. What is h?
-18, -1, 3
Let r(o) be the second derivative of o**5/60 + 11*o**4/6 - o**3/18 - 11*o**2 + 3*o - 112. Factor r(w).
(w - 1)*(w + 1)*(w + 66)/3
Let b(w) be the first derivative of -1/3*w**2 + 8/9*w**3 - 4*w + 53 - 1/6*w**4. Determine z, given that b(z) = 0.
-1, 2, 3
Let l = 1862152/3 + -620717. Suppose -1/3*u**2 + 0*u + l*u**3 - 1/3*u**5 + 0 + 1/3*u**4 = 0. Calculate u.
-1, 0, 1
Let x(f) be the third derivative of 7*f**6/240 - 31*f**5/30 - 3*f**4/4 - 3694*f**2. Factor x(d).
d*(d - 18)*(7*d + 2)/2
Let g = 3177427/190644 - 9/63548. Factor -25/6*m**3 + g - 55/2*m**2 - 30*m.
-5*(m + 2)*(m + 5)*(5*m - 2)/6
Solve -4*m**4 + 0 - 1/3*m**5 + 0*m + 0*m**2 + 13/3*m**3 = 0.
-13, 0, 1
Let h(m) be the third derivative of 0 + 1/450*m**5 - 49*m**2 + 1/225*m**6 - 1/90*m**4 - 1/525*m**7 + 0*m + 0*m**3. Factor h(z).
-2*z*(z - 1)**2*(3*z + 2)/15
Let q(k) = -k - 6. Let j be q(-29). Let j - 2 + 4*v**2 + 8*v - 53 = 0. What is v?
-4, 2
Let s = -966 - 259. Let u = s + 3707/3. What is y in -8/3 + 10/3*y**4 + 2*y**5 - u*y - 14/3*y**3 - 14*y**2 = 0?
-1, -2/3, 2
Let j = -211/62 - -245/31. Factor j + 15/4*b + 3/4*b**2.
3*(b + 2)*(b + 3)/4
Suppose -2*o = 2*r - 163 - 127, -3*r + 451 = -5*o. Factor -2*z**3 + 4*z**4 + 156*z**5 - 300*z**5 - z**3 + r*z**5 - 4*z**2.
z**2*(z - 1)*(z + 1)*(3*z + 4)
Let s(l) = -7*l**3 + 229*l**2 + 224*l - 4. Let i(z) = 8*z**3 - 231*z**2 - 221*z + 6. Let h(b) = -2*i(b) - 3*s(b). Determine o so that h(o) = 0.
-1, 0, 46
Let z(g) be the first derivative of 25*g**4/4 + 80*g**3/3 + 15*g**2/2 + 1218. Solve z(i) = 0.
-3, -1/5, 0
Let 36*r**3 + 102*r**2 + 2*r**4 + 14*r + 53*r + 78 + 76*r + 42*r**2 + 45*r = 0. What is r?
-13, -3, -1
Let t(b) be the second derivative of -b**6/75 - 14*b**5/5 - 2714*b**4/15 - 2464*b**3 - 69696*b**2/5 - b - 12512. Determine m, given that t(m) = 0.
-66, -4
Factor 136 + 260 - 457*n + 5*n**2 + 284 + 194*n - 87*n.
5*(n - 68)*(n - 2)
Factor 0*h + 1728 - h - 198*h**2 + h**3 - 1524 - 6*h**2.
(h - 204)*(h - 1)*(h + 1)
Let k(c) be the second derivative of -c**5/100 - 79*c**4/30 + 487*c**3/30 + 322*c**2/5 + 2432*c - 1. Factor k(b).
-(b - 4)*(b + 1)*(b + 161)/5
Let j(t) be the first derivative of 375*t**4/2 - 4496*t**3/9 + 1121*t**2/3 + 4*t/3 - 135. Factor j(g).
2*(g - 1)**2*(1125*g + 2)/3
Let z(p) be the first derivative of 0*p**2 + 0*p + 2/3*p**3 - 1/2520*p**6 + 25 - 1/168*p**4 + 1/420*p**5. Let m(u) be the third derivative of z(u). Factor m(v).
-(v - 1)**2/7
Let h = -27511/9 - -3057. Let g(z) be the third derivative of -19/180*z**5 + h*z**3 + 0 + 8*z**2 - 1/24*z**6 + 0*z**4 + 0*z. Determine a, given that g(a) = 0.
-1, -2/3, 2/5
Let q be (532/19)/(2/14). Let j = -193 + q. Factor 0 - 1/2*r**j - 8*r - 4*r**2.
-r*(r + 4)**2/2
Suppose -r + 11 = 2*h - 17, -6*h + 84 = -5*r. Solve 2/5*k + r + 2/5*k**3 + 4/5*k**2 = 0 for k.
-1, 0
Let s(r) be the second derivative of -r**9/9072 - r**8/2016 - r**7/1512 - 11*r**4/6 - 81*r. Let h(q) be the third derivative of s(q). What is l in h(l) = 0?
-1, 0
Find f, given that 95*f**2 + 48*f**4 + 114*f**3 - 52*f**4 - 148*f**2 - 139*f**2 + 184*f - 42*f**3 - 60 = 0.
1, 15
Let r be (72*99/484 - 10)/((-54)/(-99)). Factor -8*f + r - 2/3*f**2.
-2*(f - 1)*(f + 13)/3
Let t(r) be the second derivative of 10/3*r**4 + 2/21*r**7 - 65*r + 2/3*r**6 + 10/3*r**3 + 0 + 2*r**2 + 2*r**5. Factor t(o).
4*(o + 1)**5
Suppose -26 = i - 3*i - 20. Let u(x) be the first derivative of 8/15*x**i - 1/5*x**2 - 19 + 3/10*x**4 - 4/5*x. Solve u(q) = 0.
-1, 2/3
Solve 677/7*f**2 - 172/7*f**3 + 1/7*f**4 + 48 - 842/7*f = 0 for f.
1, 2, 168
Let i(t) be the first derivative of t**6/24 + 39*t**5/20 + 93*t**4/4 + 340*t**3/3 + 216*t**2 - 543. Solve i(h) = 0 for h.
-27, -4, 0
Suppose -339*l - 3*l**2 - 3233 - 18955 + 55*l + 0*l**2 - 232*l = 0. Calculate l.
-86
Let p(u) = -u**2 + 7*u. Let l(q) = -12*q**2 + 42*q + 414. Let t(x) = 2*l(x) - 20*p(x). Factor t(n).
-4*(n - 9)*(n + 23)
Let c(k) be the second derivative of -k**5/140 - 37*k**4/42 - 215*k**3/6 - 350*k**2 + 1393*k. Solve c(w) = 0 for w.
-35, -4
Let r = -1715 + 5191/3. Let a = 95/6 - r. Determine w so that -1/2*w**3 - 3/8*w**2 - 1/8*w**4 + a*w + 1/2 = 0.
-2, -1, 1
Let m(t) be the second derivative of -6*t**6/5 + 78*t**5/5 - 661*t**4/12 + 535*t**3/6 - 75*t**2 + 900*t. Let m(u) = 0. Calculate u.
5/6, 1, 6
Suppose -28*z**5 - 738 - 764*z**4 - 3904*z - 5984*z**2 - 291150*z**3 + 287630*z**3 + 34 = 0. What is z?
-22, -2, -1, -2/7
Let a be (-2*((-50)/(-15) - 9) - 11)/((-3)/(-2)). Solve 44/9*u**2 + a*u**3 + 0 + 0*u = 0.
-22, 0
Factor -175/4*f**3 - 5/2 + 93/4*f - 45*f**2.
-(5*f - 1)**2*(7*f + 10)/4
Let z be -124 - 28080/(-225) - (2*-1)/(20/7). Factor 5/2*p**2 + z*p + p**3 + 0.
p*(p + 1)*(2*p + 3)/2
Let y(u) be the second derivative of 9*u**5/100 - 119*u**4/4 + 392*u**3/5 + 1182*u**2/5 + 5291*u. Determine s, given that y(s) = 0.
-2/3, 2, 197
Suppose 5*n - 360 = 45*n. Let c be ((-27)/6)/((-399)/28 - n). Solve 6/7*l**3 + 0 + 2/7*l**4 + 2/7*l + c*l**2 = 0 for l.
-1, 0
Let f(h) be the second derivative of -7/12*h**4 - h - 1/20*h**5 - 1/84*h**7 + 1/4*h**3 + 1/12*h**6 + 9/4*h**2 - 6. Suppose f(u) = 0. What is u?
-1, 1, 3
Let h(z) be the second derivative of -z**6/45 - 17*z**5/30 - 4*z**4/3 - 5*z**3/6 - 7*z**2/2 - 30*z. Let l(o) be the second derivative of h(o). Factor l(g).
-4*(g + 8)*(2*g + 1)
Suppose 0 = -15*r + 49 + 11. Factor -8*u - 5 + 3*u**3 + 4*u**r - 8*u**3 + 1 + 13*u**3.
4*(u - 1)*(u + 1)**3
Let t(c) be the third derivative of -1/150*c**5 + 0*c + 0*c**3 - 1/1200*c**6 - c**2 - 63 - 1/80*c**4. Factor t(j).
-j*(j + 1)*(j + 3)/10
Let q = 24729/26 + -12332/13. Suppose -q*i**4 + 8*i - 2*i**2 - 8*i**3 + 0 = 0. Calculate i.
-2, 0, 4/5
Suppose 0 = -6538*d + 6167*d + 1113. What 