 + 47*u + 107. Let k(v) = 6*i(v) - 14*p(v). Factor k(w).
-4*(w + 5)**2
Let l = -245 + 249. Let -l*f**4 - 5*f - 12*f**3 + 4*f**5 - f**2 + 13*f + 5*f**2 + 0*f = 0. Calculate f.
-1, 0, 1, 2
Let t be (6/(-4))/(((-16)/8)/1644). Solve -2*d**2 + 4*d**2 - 1249*d + t*d - 4*d**2 = 0 for d.
-8, 0
What is q in 4 - 301*q - 681*q + 26*q + 170*q**2 - 291*q**2 - 358*q**2 = 0?
-2, 2/479
Let n be 58*-1 - (-163157)/2708. Factor 3/4*q**3 + 0 + n*q**2 + 3/2*q.
3*q*(q + 1)*(q + 2)/4
Let o = -67243/15 - -13457/3. Factor 0 - o*d**2 - 4/5*d**3 + 2/5*d**4 - 8/5*d.
2*d*(d - 4)*(d + 1)**2/5
Let q(f) = -9*f**4 - 150*f**3 + 157*f**2 + 293*f - 5. Let a(l) = -7*l**4 - 149*l**3 + 154*l**2 + 292*l - 4. Let b(k) = -5*a(k) + 4*q(k). Factor b(m).
-m*(m - 144)*(m - 2)*(m + 1)
Let i(p) = -2*p**3 + p**2 + p - 2. Let b(j) = -33*j**3 + 69*j**2 + 508*j + 406. Let d(w) = 3*b(w) - 51*i(w). Factor d(q).
3*(q + 1)*(q + 11)*(q + 40)
Let p(t) = -85*t**5 - 75*t**4 + 45*t**3 + 125*t**2 - 120*t - 180. Let l(n) = 3*n**5 + n**4 + n**3 - 2*n. Let k(d) = -30*l(d) - p(d). Find y such that k(y) = 0.
-1, 2, 3, 6
Factor 0 + 2/7*c**4 + 2/7*c**3 + 160/7*c - 92/7*c**2.
2*c*(c - 5)*(c - 2)*(c + 8)/7
Let l(i) be the first derivative of -i**8/560 + i**7/175 - i**6/200 - 13*i**2/2 - 57. Let q(f) be the second derivative of l(f). Factor q(b).
-3*b**3*(b - 1)**2/5
Let z = 590 - 588. Suppose -12 = -3*t + 4*r - 2, -2 = z*r. Find m, given that 4/3 - 4/9*m**t - 8/9*m = 0.
-3, 1
Let h(o) be the second derivative of 33 - 1/2*o**2 + o + 47/48*o**4 - 63/80*o**5 + 0*o**3 + 1/6*o**6. Find g such that h(g) = 0.
-1/4, 2/5, 1, 2
Let r(h) be the second derivative of 5*h**4/12 + 125*h**3/6 - 135*h**2 + 90*h. Find q such that r(q) = 0.
-27, 2
Suppose 0 = 4*n + n - 15. Suppose -n*u = 3*u. Let -34*g**4 - 2*g**4 - 12*g + 15*g + u*g**4 - 33*g**3 + 6*g**2 = 0. Calculate g.
-1, -1/4, 0, 1/3
Let p be 0 - (-200)/36*110/2825. Let i = p + 2/339. Factor -4/9*j + 0 + i*j**2.
2*j*(j - 2)/9
Let h(g) = g**2 - 10*g + 13. Let p be h(2). Let o be 38 + -32 - p*(0 + -1). Solve -6/5*l**2 + 2/5*l**o - 2/5 + 6/5*l = 0.
1
Let u(a) be the first derivative of -183 + 3/10*a**4 - 184/15*a**3 + 59/5*a**2 + 12*a. Factor u(p).
2*(p - 30)*(p - 1)*(3*p + 1)/5
Let z(s) be the second derivative of s**4/12 - 8*s**3/3 - 17*s**2/2 - 61*s - 3. Factor z(w).
(w - 17)*(w + 1)
Find k such that -10/3 - 8/3*k - 2/3*k**4 + 8/3*k**3 + 4*k**2 = 0.
-1, 1, 5
Let t(w) be the second derivative of w**7/147 + 2*w**6/15 + 6*w**5/7 + 25*w**4/21 - 125*w**3/21 + 1372*w. Determine a so that t(a) = 0.
-5, 0, 1
Suppose 65*d = 66*d - 68. Factor -32*z + 25*z**2 - d*z**4 + 64*z**4 - 9*z**2 + 8*z**3.
-4*z*(z - 2)**2*(z + 2)
Let o(r) be the third derivative of r**5/180 - 17*r**4/72 - 10*r**3/3 + 39*r**2 + 65. Factor o(u).
(u - 20)*(u + 3)/3
Let p(o) be the second derivative of 0 - 65*o + 5*o**2 + 4/3*o**3 - 1/6*o**4. Let p(l) = 0. What is l?
-1, 5
Let q(v) be the second derivative of -v**7/70 + 403*v**6/50 - 122409*v**5/100 + 40401*v**4/20 - 6548*v. Factor q(u).
-3*u**2*(u - 201)**2*(u - 1)/5
Factor -347*l**2 + 4*l**4 + 8*l**2 - 518*l**3 - 185*l**2 - 2*l**3.
4*l**2*(l - 131)*(l + 1)
Let x(l) be the second derivative of 0 - 6*l**2 - 7/9*l**3 + 1/18*l**4 - 17*l. Find n such that x(n) = 0.
-2, 9
Let q(x) be the first derivative of 2*x**3/21 - 168*x**2 + 98784*x - 1507. Factor q(j).
2*(j - 588)**2/7
Let i = 22964 - 9839. Let k be 4575/i - (-4)/50. Factor 3/7 - 3/7*p**2 - k*p**3 + 3/7*p.
-3*(p - 1)*(p + 1)**2/7
Let i = 157 + -122. Let d be (969/(-189) - -6) + (-15)/i. Solve 4/9 - d*g**3 + 10/9*g + 2/9*g**2 = 0 for g.
-1, -1/2, 2
Factor -240/7*v - 128/7*v**2 + 4/7*v**3 + 0 + 4/7*v**4.
4*v*(v - 6)*(v + 2)*(v + 5)/7
Let l be -8*(31/155)/((-6)/15). Let w(k) be the second derivative of -1/10*k**3 + 0*k**2 + 1/60*k**l - 12*k + 0. Find q, given that w(q) = 0.
0, 3
Determine l so that 3*l**3 - 56*l + 13*l**2 - 35 - 75*l - 52 + 42 = 0.
-9, -1/3, 5
Suppose 53 - 17 = 9*o. Factor 3677*r**2 - 3676*r**2 + 1 - r + o*r + 1.
(r + 1)*(r + 2)
Factor 0 - 3933/5*p + 3/5*p**2.
3*p*(p - 1311)/5
Let g be (44*24/(-42))/(10 - (11 + 1)). Factor -g*m**2 + 384/7*m + 1152/7 + 4/7*m**3.
4*(m - 12)**2*(m + 2)/7
Let g(h) be the first derivative of -h**5/7 + h**4/3 + 16*h**3/21 - 8*h**2/7 + 37*h + 132. Let d(l) be the first derivative of g(l). Factor d(y).
-4*(y - 2)*(y + 1)*(5*y - 2)/7
Let z(p) be the first derivative of 2*p**3/3 - 50*p**2 + 3802. Let z(x) = 0. Calculate x.
0, 50
Let c be 1 - -134 - (-27 - -31). Determine b so that -131*b**3 + 264*b**3 + 24*b**2 - c*b**3 = 0.
-12, 0
Let -150*t + 45*t**5 - 5 + 5 - 75*t**5 + 155*t**3 - 5*t**4 + 5*t**2 + 25*t**5 = 0. Calculate t.
-6, -1, 0, 1, 5
Let o(i) be the second derivative of i**4/15 - 2108*i**3/15 + 555458*i**2/5 + 76*i - 4. Suppose o(s) = 0. What is s?
527
Let x(h) be the first derivative of 0*h**2 - 74 - 6/7*h**3 - 3/28*h**4 + 0*h. Let x(f) = 0. Calculate f.
-6, 0
Factor 49*k**2 - 1539*k**3 + 774*k**3 - 117*k**2 - 119*k + 763*k**3 + 7*k + 2*k**4.
2*k*(k - 7)*(k + 2)*(k + 4)
Let b(g) = 5*g + 3. Let n(s) = 168*s - 48. Let k(z) = 144*b(z) - 4*n(z). Let w be k(-13). Suppose 5/6*d + w - 1/6*d**2 = 0. What is d?
0, 5
Let p = -29520 + 29524. Factor -1/2*q**5 + 0 + 0*q + 0*q**2 - 9/2*q**3 + 3*q**p.
-q**3*(q - 3)**2/2
Let q(k) be the third derivative of -k**2 + 13/42*k**7 - 1/12*k**5 + 0 + 0*k**6 - 5/28*k**8 + 0*k**4 + 9*k + 0*k**3. Determine z, given that q(z) = 0.
-1/4, 0, 1/3, 1
Let d(c) = 4*c**2 + 22517*c - 22519. Let z be d(1). Factor -7/4*n**z + 0 + 3/4*n - 1/4*n**4 + 5/4*n**3.
-n*(n - 3)*(n - 1)**2/4
Let d be 12 - 16 - 126/(-15). Suppose 6/5*p**4 + 2*p + d*p**2 - 12/5 - 26/5*p**3 = 0. Calculate p.
-2/3, 1, 3
Let z = 62376 + -311844/5. Factor -108/5 - 3/5*m**2 - z*m.
-3*(m + 6)**2/5
Let d = -260405 - -260409. What is u in 0*u - 4/3*u**2 - u**3 + 1/3*u**d + 0 = 0?
-1, 0, 4
Let q(n) be the second derivative of n**5/80 - 29*n**4/16 + 645*n**3/8 - 1849*n**2/8 - 343*n. Factor q(g).
(g - 43)**2*(g - 1)/4
Let t be (-180)/24 + ((-508)/(-64) - 44/(-704)). Factor -5/2 - 3/2*d**2 + t*d**3 - 9/2*d.
(d - 5)*(d + 1)**2/2
Suppose -4*y - 104 = 2*g, g - 4*y + 15 = -7. Let w be 18/21*g/(-9). Factor 0 + 0*q - 1/2*q**w - 5/2*q**3 - 2*q**2.
-q**2*(q + 1)*(q + 4)/2
Let n(j) be the second derivative of -4/9*j**3 + 2/3*j**2 - 22 + 1/9*j**4 - j. Factor n(w).
4*(w - 1)**2/3
Suppose -3*p - 8 = -20. Factor -p + 4 + 94*o + 24*o**3 - 39*o**2 - 76*o - 3*o**4.
-3*o*(o - 6)*(o - 1)**2
Let y be 1/(-2) - (8 - 4)/8. Let r be 0/(y - -6 - 3) - -4. Factor -20/7*c**3 + 0 - r*c**2 - 12/7*c - 4/7*c**4.
-4*c*(c + 1)**2*(c + 3)/7
Let y(o) = 8*o - 70. Let p be y(8). Let u be 6 + (-16)/(-88) + p. What is c in -3/11*c**3 + 3/11*c - 1/11*c**4 - 1/11*c**2 + u = 0?
-2, -1, 1
Let x(m) be the first derivative of -5/3*m**3 - 5780*m - 170*m**2 + 53. Factor x(a).
-5*(a + 34)**2
Suppose 430*q - 1932 = 155*q - 691*q. Solve -2*h + 9/4 - 1/4*h**q = 0 for h.
-9, 1
Suppose -279*x = -284*x + 15. Determine q, given that -6052/9*q - 1720/9*q**x - 2312/9 - 4/9*q**5 - 152/9*q**4 - 5312/9*q**2 = 0.
-17, -2, -1
Let o(u) = -11*u**2 + 327*u - 978. Let j(g) = 80*g**2 - 2288*g + 6848. Let k(l) = -3*j(l) - 22*o(l). Factor k(x).
2*(x - 162)*(x - 3)
Let m = 86221 + -172441/2. Factor 0 + 1/2*k - m*k**3 + 0*k**2.
-k*(k - 1)*(k + 1)/2
Let c(i) be the third derivative of i**6/40 - 9*i**4/8 + 1047*i**2. Factor c(d).
3*d*(d - 3)*(d + 3)
Let q(p) be the third derivative of 0 + 14/15*p**5 - p + 29*p**2 + 0*p**3 + 1/18*p**6 - 2*p**4 - 5/63*p**7. Factor q(k).
-2*k*(k + 2)*(5*k - 6)**2/3
Suppose 92*x - 3744 = 95*x. Let v = -8718/7 - x. Let -v*i - 4/7 + 46/7*i**2 + 60/7*i**3 = 0. Calculate i.
-1, -1/6, 2/5
Let q = -205 + 216. Factor q - 2 + 5 - 27*r**2 + 10 - 102*r.
-3*(r + 4)*(9*r - 2)
Let u(c) be the first derivative of -c**6/16 - 71*c**5/40 + 183*c**4/32 + 19*c**3/24 - 45*c**2/4 + 13*c/2 + 5041. Suppose u(g) = 0. Calculate g.
-26, -1, 1/3, 1, 2
Factor 1035387 - 12*s - s**2 - 1035312 + 34*s.
-(s - 25)*(s + 3)
Suppose -97 = 33*k - 66*k + 35. Factor 0 + 2/9*u**2 + 0*u + 4/9*u**3 + 2/9*u**k.
2*u**2*(u + 1)**2/9
Let -1348/3*c**2 + 486 + 522*c - 2/3*c**5 - 110/3*c**4 - 1564/3*c**3 = 0. What is c?
-27, -1, 1
Suppose 11 - 11 = 36*p - 0. Factor -11/2*b + 1/2*b**2 + p.
b*(b - 11)/2
Solve 5506*h**2 + 5618*h**2 - 3*h**3 - 11568*h**2 = 0.
-148, 0
Let t(u) be the fir