p). Factor f(q).
q**4*(q - 14)/4
Let h(w) be the second derivative of -w**4/66 - 983*w**3/33 + 2958*w**2/11 - 100*w - 11. Factor h(n).
-2*(n - 3)*(n + 986)/11
Let o(z) be the first derivative of z**6/60 - 37*z**5/30 - 111*z**2/2 - 63. Let y(p) be the second derivative of o(p). Determine b, given that y(b) = 0.
0, 37
Let n(g) = -201*g**2 - 4688*g - 24312. Let l(m) = -135*m**2 - 3125*m - 16209. Let p(r) = 8*l(r) - 5*n(r). Factor p(i).
-3*(5*i + 52)**2
Let x(w) be the second derivative of -2*w**6/105 + 6*w**5/35 - w**4/7 - 20*w**3/21 + 19*w - 13. Factor x(a).
-4*a*(a - 5)*(a - 2)*(a + 1)/7
What is v in -2/17*v**5 - 88/17*v**4 - 80/17*v**3 + 82/17*v + 260/17*v**2 - 172/17 = 0?
-43, -2, -1, 1
Let p be -5 + 3 + 9 - (-3 - -4). Let k(o) = 88*o**2 - 44*o - 32. Let q(c) = c**3 - 87*c**2 + 45*c + 31. Let y(v) = p*q(v) + 5*k(v). Factor y(x).
2*(x - 13)*(x - 1)*(3*x + 1)
Factor -168/11*m + 2/11*m**2 - 344/11.
2*(m - 86)*(m + 2)/11
Let h(s) be the second derivative of -s**4/36 - 97*s**3/9 - 193*s**2/6 + 4227*s. Factor h(g).
-(g + 1)*(g + 193)/3
Let z(c) = -29*c**3 - 319*c**2 - 409*c - 34. Let g(t) = -10*t**3 - 106*t**2 - 138*t - 12. Let p(k) = -17*g(k) + 6*z(k). Factor p(y).
-4*y*(y + 1)*(y + 27)
Let x = 225 + -313. Let p be 3 - (2/(-4) - 209/x). What is t in p*t**3 + 0*t + 3/4*t**2 + 3/8*t**4 + 0 = 0?
-2, -1, 0
Suppose v - s = 3, v + 2*s = -2*s + 3. Find o such that 4*o**2 + 2*o**2 + v*o**2 + 64*o - 4*o**2 - 414*o = 0.
0, 70
Let j(r) = r**2 - 19*r + 36. Let b be j(17). Determine k, given that -59*k**3 + 20*k**2 + b*k**4 + 8*k**2 + 41*k**3 = 0.
0, 2, 7
Let t(o) be the first derivative of -o**4/6 + 26*o**3/3 - 169*o**2 + 177*o + 137. Let l(y) be the first derivative of t(y). Find s such that l(s) = 0.
13
Let i = 761440/142779 + 16/47593. Let -4/3*m**4 + 0 - 20/3*m**2 - 8/3*m - i*m**3 = 0. Calculate m.
-2, -1, 0
Let a(w) be the second derivative of 27/55*w**6 + 0*w**2 + 1/77*w**7 + 0*w**3 - 7 + 729/22*w**4 + 729/110*w**5 - 2*w. What is b in a(b) = 0?
-9, 0
Find m such that 100/3*m - 1/3*m**3 - 7*m**2 + 0 = 0.
-25, 0, 4
Let h = -125 + 133. Suppose h*s = -15*s + 5*s. Factor 1/5*l**5 + 3/5*l**4 + 3/5*l**3 + s*l + 1/5*l**2 + 0.
l**2*(l + 1)**3/5
Let k(w) be the second derivative of -w**6/45 + 2*w**5/15 + w**4/9 - 4*w**3/3 - 3*w**2 - 583*w. Let k(i) = 0. Calculate i.
-1, 3
Let t be 1/(7/(-42))*6/288*-6. Determine g so that -45/4*g**2 - t*g**3 + 48 - 36*g = 0.
-8, 1
Let o(h) be the second derivative of -h**4 + 25*h**3/6 - h**2 - 80*h. Let s be o(2). Let s*w - 2/15*w**3 + 0 - 2/15*w**4 + 4/15*w**2 = 0. Calculate w.
-2, 0, 1
Factor 34/11*f - 168/11 + 2/11*f**2.
2*(f - 4)*(f + 21)/11
Let b be ((-81)/138)/((-3)/(-18)). Let o = 821/207 + b. Factor 0*x + 0 + 2/9*x**3 - 2/9*x**4 + o*x**2.
-2*x**2*(x - 2)*(x + 1)/9
Let j(v) be the second derivative of 3/50*v**5 + 51/20*v**4 + 0*v**2 + v - 51/50*v**6 + 22 - 1/5*v**3. Let j(c) = 0. What is c?
-1, 0, 2/51, 1
Let h(f) be the third derivative of 7/240*f**6 + 0 + 0*f - 1/15*f**5 - 1/12*f**3 + 3/32*f**4 + 1/1344*f**8 - 1/140*f**7 + 117*f**2. Factor h(g).
(g - 2)*(g - 1)**4/4
Suppose 28*w - 16*w = 60. Suppose 0 = w*l - 3*v - 25, -6*v = 5*l - 8*v - 20. Factor 3/5*d - 1/5*d**4 - 1/5*d**l + 2/5 - 3/5*d**3.
-(d - 1)*(d + 1)**2*(d + 2)/5
Let z(x) be the first derivative of -x**7/63 - 8*x**6/45 - 13*x**5/30 - x**4/3 + 12*x - 45. Let n(i) be the first derivative of z(i). Factor n(q).
-2*q**2*(q + 1)**2*(q + 6)/3
Let a(z) = -57*z**4 + 1377*z**3 + 2793*z**2 + 1392*z - 66. Let x(c) = -7*c**4 + 172*c**3 + 349*c**2 + 174*c - 8. Let m(y) = 4*a(y) - 33*x(y). Factor m(n).
3*n*(n - 58)*(n + 1)**2
Factor -8 + 8 + 5*j**2 - 10396*j**3 + 15*j**4 + 10381*j**3 - 5*j**5.
-5*j**2*(j - 1)**3
Let u be 2/6*0 - -3. Suppose 523*f - 520*f - 4*l = -14, -f = -5*l + 23. Factor 0 - 8/5*w**4 - 2/5*w**5 + 0*w - 2*w**u - 4/5*w**f.
-2*w**2*(w + 1)**2*(w + 2)/5
Let k be (12/(-30))/((-264)/2970). Find d, given that k*d + 3/2 + 3/2*d**3 + 9/2*d**2 = 0.
-1
Let u be 1/(5264/5257 - 1)*-1. Let l = 1505/2 + u. Suppose -15/2*i - l*i**2 + 0 = 0. Calculate i.
-5, 0
Let c(y) = -16*y**4 + 40*y**3 - 17*y**2 - 7*y + 6. Let p(i) = -i**4 + i**3 + i**2 - i + 2. Let k(z) = 2*c(z) - 6*p(z). Suppose k(t) = 0. What is t?
-2/13, 0, 1, 2
Let f be -5*4*(-5)/850. Let r be (-7 + -9*(-400)/510)/1*6. Find s such that 4/17*s + f*s**3 + 0 + r*s**2 = 0.
-2, -1, 0
Let 18/5*q**4 - 26/5*q**2 - 12/5*q + q**5 + 8/5 + 7/5*q**3 = 0. What is q?
-2, -1, 2/5, 1
Let s(q) be the second derivative of -q**6/30 + 11*q**4/12 + 3*q**3 + 4*q**2 - 414*q - 1. Let s(g) = 0. Calculate g.
-2, -1, 4
Factor -2/9*y**3 + 10/9*y - 8/9*y**2 + 0.
-2*y*(y - 1)*(y + 5)/9
Let b(q) be the first derivative of -28*q + 4/3*q**3 - 50 + 12*q**2. Factor b(t).
4*(t - 1)*(t + 7)
Suppose 4*t + 23*t + 30888 = 0. Let i be -2*3 - (t/117 + 2). Factor 0 - i*l**3 - 8/3*l**2 + 2/9*l**4 + 0*l + 2/9*l**5.
2*l**2*(l - 3)*(l + 2)**2/9
Let a(m) be the second derivative of m**7/840 - m**5/40 - m**4/12 - m**3/8 + 143*m**2/2 + 6*m + 20. Let s(t) be the first derivative of a(t). Factor s(l).
(l - 3)*(l + 1)**3/4
Let i(u) be the first derivative of -6*u - 9/5*u**5 + 4/3*u**3 + 18 + 0*u**2 + 7/3*u**4. Let m(v) be the first derivative of i(v). Let m(k) = 0. Calculate k.
-2/9, 0, 1
Let y = 73626 - 73626. What is n in 4/9*n**2 + 2/9*n**3 - 2/3*n + y = 0?
-3, 0, 1
Let x be (3 - 34/12) + 2/(-12). Let b = -827 - -9099/11. Factor 2/11*h**4 + 0*h + 0*h**2 + 0*h**3 + x - b*h**5.
-2*h**4*(h - 1)/11
Let y(c) be the first derivative of -3*c**4/16 + c**3 + 1137*c**2/8 + 561*c/2 + 2778. Factor y(z).
-3*(z - 22)*(z + 1)*(z + 17)/4
Suppose 168 = 2*o - 0*o. Let f = 95 - o. Factor 47*l**3 - 10*l**5 + 14*l**5 - 17*l**4 - f*l**4 + 13*l**3 - 36*l**2.
4*l**2*(l - 3)**2*(l - 1)
Let z(b) = 11*b**4 - 9*b**3 + 3*b**2 + 5*b + 84. Let p(t) = 24*t**4 - 19*t**3 + 6*t**2 + 9*t + 181. Let m(q) = -6*p(q) + 13*z(q). What is i in m(i) = 0?
-3, -1, 2
Let v = 56 - 52. Let i(d) = 2*d - 6. Let q be i(v). Suppose -100*j + 60*j**2 - 20*j**4 - 40 - 24*j**3 - 15*j**5 + 93*j**3 + 30*j**q + 16*j**3 = 0. What is j?
-2, -1/3, 1, 2
Suppose -4*r + 510 = -2*n, -4545*n + 45 = r - 4540*n. Factor 160*c + 5/2*c**4 + r*c**2 - 75/2*c**3 + 0.
5*c*(c - 8)**2*(c + 1)/2
Let w(l) = 4*l**3 + 29*l**2 + 38*l - 74. Let n(f) = 8*f**3 + 59*f**2 + 78*f - 150. Let g(b) = 3*n(b) - 5*w(b). Factor g(u).
4*(u - 1)*(u + 4)*(u + 5)
Let p be -2*((-62)/(-16) + (-11 - -7)). Let r(k) be the first derivative of -1/25*k**5 - 8/15*k**3 - 2/5*k**2 - p*k**4 + 0*k + 8. Factor r(j).
-j*(j + 1)*(j + 2)**2/5
Let p(g) be the second derivative of 0*g**2 - 3/4*g**4 + 3/20*g**5 - 5*g**3 + 0 - 73*g. Factor p(z).
3*z*(z - 5)*(z + 2)
Let a(d) = -2*d**2 + 8*d + 27. Let g be a(6). Suppose g*r - 35 = 10. Factor -57 + 107 + r*l**2 - 85*l + 0*l**2.
5*(l - 5)*(3*l - 2)
Factor 27 + 8*z**3 + 60*z**2 + 153/2*z.
(z + 6)*(4*z + 3)**2/2
Solve 488601/4 + 699/2*d + 1/4*d**2 = 0 for d.
-699
Let z(d) be the third derivative of -d**5/12 - 2975*d**4/24 + 6668*d**2. Factor z(t).
-5*t*(t + 595)
Suppose 0 = 8606*m - 6519*m - 6717 + 2543. What is u in 15/7*u**3 + 9/7*u**m + 12/7 - 36/7*u = 0?
-2, 2/5, 1
Factor -1682 - 2*j**4 - 74*j**3 + 28*j**3 + 166*j**3 + 317*j - 762*j**2 + 3163*j - 1154*j**2.
-2*(j - 29)**2*(j - 1)**2
Let z = 593 - 589. Factor -9*s + s**4 - 2*s**4 - 3*s + 2*s**4 + 7*s**3 - 2*s**4 - z*s**2.
-s*(s - 6)*(s - 2)*(s + 1)
Let v be 1 + 6 + (-14)/2. Let j(a) be the second derivative of 24*a - 1/60*a**4 + v - 49/10*a**2 - 7/15*a**3. Factor j(z).
-(z + 7)**2/5
Suppose 2 = -n - 2*j - 2, -2 = 2*n + 2*j. Factor 16*x + 128*x**3 - n*x**4 - 4*x**5 - 23*x**2 - 21*x**2 - 92*x**3 - 2*x**4.
-4*x*(x - 1)**3*(x + 4)
Let r(p) be the second derivative of 127*p + 41/4*p**4 - 3/20*p**5 - 220*p**3 + 600*p**2 + 0. Find y such that r(y) = 0.
1, 20
What is l in -170/3*l**3 + 170/3*l - 250/9*l**2 + 254/9 - 4/9*l**4 = 0?
-127, -1, -1/2, 1
Let k(s) be the third derivative of s**5/330 + 17*s**4/66 + s**3 + 2220*s**2. Factor k(p).
2*(p + 1)*(p + 33)/11
Let -18*g + 75*g**2 - 190*g**2 - 111*g**2 - 59*g**2 + 303*g**3 = 0. Calculate g.
-6/101, 0, 1
Solve 3698/7 + 2/7*y**2 - 172/7*y = 0 for y.
43
Let h = -173299 + 1386393/8. Factor 0*k**2 - 1/8*k**3 + 0 + h*k.
-k*(k - 1)*(k + 1)/8
Let s(q) be the third derivative of 2/7*q**3 + 0*q + 0 + 1/42*q**5 + 13/84*q**4 - 77*q**2. Factor s(b).
2*(b 