)/(((-1750)/(-28))/25)*(-2)/14. Factor 6/7*q + 0 + a*q**3 - 10/7*q**2 + 2/7*q**4.
2*q*(q - 1)**2*(q + 3)/7
Let r(g) be the third derivative of 5*g**8/336 + g**7/21 - 7*g**6/24 - 2*g**5/3 + 5*g**4/2 - 507*g**2 + 2. Find t such that r(t) = 0.
-3, -2, 0, 1, 2
Let u(q) be the second derivative of -q**5/60 + 117*q**4/4 - 41067*q**3/2 + 14414517*q**2/2 - 4843*q. Suppose u(z) = 0. What is z?
351
Factor -51576*r + 12*r**2 + 23847*r + 49 + 23737*r + 2607.
4*(r - 332)*(3*r - 2)
Let z(q) be the third derivative of -q**6/180 + 2*q**5/15 - 11*q**4/9 + 16*q**3/3 - 3*q**2 - 40. Factor z(a).
-2*(a - 6)*(a - 4)*(a - 2)/3
Suppose -2*c = 5*c - 28. Suppose -c*j = -12, -2*j + 3*j - 5 = -z. Solve -9*k**2 - k**z + k**2 + 8*k - 11*k**2 = 0 for k.
0, 2/5
Let f(k) be the second derivative of -2 - 17/10*k**5 + 1/15*k**6 + 128*k**2 + 16*k**4 + 86*k - 208/3*k**3. Factor f(j).
2*(j - 8)*(j - 4)**2*(j - 1)
Let r(q) be the second derivative of 2*q - 3/20*q**5 + 11/6*q**3 + 3 - 3*q**2 - 1/4*q**4 + 1/30*q**6. Find b, given that r(b) = 0.
-2, 1, 3
Let u = -3271651/3206 - 36/1603. Let j = u - -1021. Find o such that j*o**4 - 8*o + 9*o**2 + 5/2 - 4*o**3 = 0.
1, 5
Let w(j) = -15*j**3 + 2*j**2 - 2*j. Let p(m) = 119*m**3 - 22*m**2 + 56*m + 192. Let d(y) = p(y) + 8*w(y). Factor d(c).
-(c - 6)*(c + 4)*(c + 8)
Let h(i) = 7*i**4 - 200*i**3 - 188*i**2 + 948*i - 549. Let y(w) = 6*w**4 - 198*w**3 - 189*w**2 + 948*w - 552. Let f(c) = 5*h(c) - 6*y(c). Solve f(b) = 0.
-3, 1, 189
Suppose 443831*m + 21*m**4 - 39*m**3 - 52*m**2 - 443840*m - 17*m**2 = 0. Calculate m.
-1, -1/7, 0, 3
Suppose 3*j + 286 = -j + 298. Let d(i) be the second derivative of 0*i**j + 1/18*i**4 + 0*i**2 + 0 - 9*i. Let d(v) = 0. What is v?
0
Let c(r) be the first derivative of 8*r**3/21 - 69*r**2/7 + 34*r/7 + 338. Solve c(a) = 0.
1/4, 17
Let p(g) be the first derivative of 25*g**4/4 - 320*g**3 + 1090*g**2 - 720*g + 1509. Factor p(y).
5*(y - 36)*(y - 2)*(5*y - 2)
Let j = 305667/62930 + -1/8990. Solve -j - 1/7*b**2 - 19/7*b = 0 for b.
-17, -2
Let r = -62175/17 + 3659. Let x = r + -128/119. Factor 2/7*b + x - 6/7*b**2.
-2*(b - 1)*(3*b + 2)/7
Let m(x) be the first derivative of -2/5*x**3 + 2/5*x**2 - 1 + 1/10*x**4 + 0*x. Factor m(y).
2*y*(y - 2)*(y - 1)/5
Let y(j) be the first derivative of -j**6/20 + 3*j**4/4 + 2*j**3 + 9*j**2/4 + 59*j + 70. Let h(z) be the first derivative of y(z). Solve h(k) = 0.
-1, 3
Suppose 8*m = 98 - 418. Let k(h) = h**3 + 40*h**2 + h + 42. Let b be k(m). Factor 10/3*v**4 - 16/3*v**3 + 2/3*v**b + 0 + 4/3*v.
2*v*(v - 1)**2*(5*v + 2)/3
Let h(s) be the third derivative of 7*s**6/240 + 491*s**5/60 + 3157*s**4/48 + 137*s**3/2 + 964*s**2. Factor h(v).
(v + 3)*(v + 137)*(7*v + 2)/2
Let b(r) be the second derivative of 1/12*r**5 + 0*r**2 + 8*r - 1/72*r**6 + 4*r**3 + 5/8*r**4 + 0. Let c(w) be the second derivative of b(w). Factor c(d).
-5*(d - 3)*(d + 1)
Let j(i) be the first derivative of i**4/26 - 18*i**3/13 + 116*i**2/13 - 264*i/13 + 1316. Determine z, given that j(z) = 0.
2, 3, 22
Determine h, given that 12*h**3 + 3/2*h**5 + 9*h**4 - 3*h**2 - 27/2*h - 6 = 0.
-4, -1, 1
Let -40 - 49 + 126 + 251 + 136*n - 4*n**2 = 0. Calculate n.
-2, 36
Solve 642*j**2 - j**5 + 604 + 3*j**5 - 2*j**4 + 3146 - 370*j**3 + 1658*j**2 - 5750*j + 70*j**3 = 0.
-15, 1, 5
Let l be -1 + -26 - -1 - (-4)/4. Let o be 10*(90/l + 4). Solve -x + 0*x + 4 - 2*x**5 - 72*x**2 - x + 64*x**2 + o*x**4 + 4*x**3 = 0.
-1, 1, 2
Let b(g) be the second derivative of -g**8/294 - g**7/245 + g**6/420 - 9*g**2/2 - 4*g + 1. Let n(p) be the first derivative of b(p). Factor n(z).
-2*z**3*(z + 1)*(4*z - 1)/7
Let u(g) be the first derivative of 2*g**5/65 - 4*g**4/13 + 12*g**3/13 - 54*g/13 - 34. Factor u(f).
2*(f - 3)**3*(f + 1)/13
Let k(y) = 33*y**2 + y + 1. Let m be k(-1). Let -m*v + 65*v**2 + 8 - 16 + 6*v**3 - 12 - 45*v**4 + 93*v - 101*v**3 + 35*v**5 = 0. Calculate v.
-1, 2/7, 1, 2
Let w(u) = u**3 - 7*u**2 - 12*u + 86. Let x be w(7). Factor x*g**2 - 229 + 44*g + 476 - 5.
2*(g + 11)**2
Let l(o) be the second derivative of 56/9*o**4 + 36 - 3/5*o**5 + 20/3*o**2 - o - 38/3*o**3. Factor l(s).
-4*(s - 5)*(s - 1)*(9*s - 2)/3
Let n(h) be the second derivative of 0 + 7/2*h**4 + 185*h - 4/7*h**2 - 54/35*h**6 - 9/14*h**5 + 64/21*h**3. Solve n(m) = 0.
-2/3, 1/18, 1
Let b(w) be the first derivative of -w**5/15 - 31*w**4/12 - 88*w**3/3 - 114*w**2 + 1071. Determine v, given that b(v) = 0.
-19, -6, 0
Suppose -r - 3 = -v, -4*v - 2*r + 3 = 3*r. Suppose b + 7 - 3 = -4*o, 0 = -v*b - 4*o. Solve 12*p**2 - 16*p**2 + b + 3*p**2 = 0 for p.
-2, 2
Suppose -824328/7 + 2560/7*b**2 - 407028/7*b - 4/7*b**3 = 0. Calculate b.
-2, 321
Let d = 277 + -274. Factor -8*t**4 - 9758 - 28*t**d + 9758.
-4*t**3*(2*t + 7)
Let h(x) be the first derivative of -10*x + 15/4*x**4 + 91 + 20/3*x**3 - 25/2*x**2. Solve h(v) = 0 for v.
-2, -1/3, 1
Suppose 10*a - 19*a = -27. Suppose -2*r + 6 = -4. Factor -3*p**2 - a*p**2 - 4*p**2 - 4 + 9 + r*p**4.
5*(p - 1)**2*(p + 1)**2
Let x be 231 + (-2 - -6)*-1. Solve 111*q**3 + 126*q**4 + 18*q + 116*q**4 + 93*q**2 - 21*q**5 - x*q**4 = 0.
-1, -2/7, 0, 3
Let u(t) be the third derivative of -t**5/210 + 493*t**4/84 + 494*t**3/21 + 3804*t**2. Factor u(d).
-2*(d - 494)*(d + 1)/7
Let r(z) be the first derivative of -24 + 1/6*z**3 - 4*z**2 + 0*z. Factor r(l).
l*(l - 16)/2
Factor -133120*t + 28680 - 116*t**3 - 159752 - 34824*t**2 + 33*t**4 + 28*t**4 - 63*t**4 - 404*t**3.
-2*(t + 2)**2*(t + 128)**2
Solve 240/7*l - 2*l**5 + 64/7 - 28*l**3 + 8/7*l**2 - 102/7*l**4 = 0.
-4, -2, -2/7, 1
Let a = -29585 + 29587. Factor -3/2*l**3 + 9/4*l**a + 9/4 + 6*l.
-3*(l - 3)*(l + 1)*(2*l + 1)/4
Suppose -13*p - 29*p - 504 = 0. Let u be 40/p - (-17 - -13). Factor u*q**3 + 0*q + 0 + 2/3*q**2.
2*q**2*(q + 1)/3
Let y(l) = 3*l**3 - 2*l**2 + 2*l + 3. Let r(o) = 8*o**3 - 80*o**2 + 1500*o + 1572. Let x(n) = -r(n) + 4*y(n). Factor x(p).
4*(p - 13)*(p + 1)*(p + 30)
Let y(b) = b**2 + 58*b - 366. Let g(w) = 5*w**2 + 232*w - 1466. Let t(h) = -3*g(h) + 13*y(h). Find n such that t(n) = 0.
9, 20
Suppose -25*s - 222 = -19*s. Let o = s + 37. Factor -7*t**4 + o*t**2 + 7*t**2 + 7*t**3 - 2*t - 4*t**3 - t**3.
-t*(t - 1)*(t + 1)*(7*t - 2)
Let a be 1/(-1) - (-31 + 31). Let y(h) = -33*h - 33. Let w be y(a). Find j, given that 0*j - 3/2*j**2 + w + 3/4*j**3 = 0.
0, 2
Let g(v) be the first derivative of 5/7*v**2 + 2/21*v**3 + 8/7*v - 1. Factor g(o).
2*(o + 1)*(o + 4)/7
Let n(z) be the second derivative of -z**5/110 - 633*z**4/11 - 1202067*z**3/11 + 16*z - 202. Factor n(m).
-2*m*(m + 1899)**2/11
Let f(l) = -6*l**3 + 138*l**2 + 1573*l + 3920. Let t(m) = -m**3 + 28*m**2 + 314*m + 784. Let h(b) = -4*f(b) + 22*t(b). Factor h(n).
2*(n + 4)*(n + 14)**2
Let g(z) = z**2 + z - 1. Let a(x) = x + 0 + 0 - 9*x**2 + 3 - 2. Let q be (-3)/15 - 9/5. Let w(j) = q*g(j) - 2*a(j). What is l in w(l) = 0?
0, 1/4
Let j(m) = -12*m**3 + 420*m**2 - 1208*m + 776. Let d(a) = -4*a**3 + 140*a**2 - 404*a + 259. Let v(f) = -8*d(f) + 3*j(f). Factor v(u).
-4*(u - 32)*(u - 2)*(u - 1)
Factor 152*b + 384 - 12*b - 31*b**2 + 0*b**2 - 10*b**2 + 45*b**2.
4*(b + 3)*(b + 32)
Suppose -4*p - 2*m + 494 = 0, 4*m - 262 = 15*p - 17*p. Suppose -4*c + 129 = p. Suppose 4/3*u**3 + 0 + 2*u**4 - 2/3*u**c + 0*u = 0. Calculate u.
-1, 0, 1/3
Let y(l) = l**2 + 8*l - 4. Let v be y(7). Let -48 - 80 - 3*a**3 + v - 45*a - 21*a**2 = 0. Calculate a.
-3, -1
Let n be 8/(-2) + (-380)/(-80). Let d(p) be the first derivative of -15 - 1/2*p**2 - 1/12*p**3 - n*p. Factor d(c).
-(c + 1)*(c + 3)/4
Let n be (-42933)/66*8/36. Let c = n - -457/3. Determine h so that 0 - 50/9*h**4 - c*h**3 - 22/9*h**2 - 2/9*h = 0.
-1, -1/5, 0
Let -352*l**3 - 36 + 372 + 1364*l**2 - 1416*l - 20*l**4 - 1785*l - 1642*l + 3515*l = 0. Calculate l.
-21, 2/5, 1, 2
Factor -26*m**2 - 3*m - 28*m**2 - 870 + 86*m**2 + 172*m - 31*m**2.
(m - 5)*(m + 174)
Let l(y) be the second derivative of y**6/6 + 269*y**5/4 + 40495*y**4/4 + 3762475*y**3/6 + 3524845*y**2 - y - 30. Determine c, given that l(c) = 0.
-89, -2
Let p(u) be the second derivative of 0*u**3 - 18*u + 2 + 0*u**2 - 1/15*u**5 - 1/45*u**6 - 1/18*u**4. Suppose p(l) = 0. What is l?
-1, 0
Let v be -11 + 6 + 12 + (-40)/10. Let j(x) be the second derivative of -31*x + 0 + 0*x**2 - 1/140*x**5 + 0*x**4 + 0*x**v. Determine b so that j(b) = 0.
0
Determine a so that -81/7*a**3 + 68/7 - 1377/7*a**2 + 4/