9 - 8 = 0. Let z(j) be the first derivative of 8/13*j**t + 8/13*j - 10/39*j**3 - 11. Factor z(o).
-2*(o - 2)*(5*o + 2)/13
Let b(w) be the third derivative of -w**5/240 - 63*w**4/16 + 835*w**2 + 2. Factor b(l).
-l*(l + 378)/4
Suppose 21*u = -16*u + 4*u + 9*u. Factor 0 + u*t - 1/4*t**3 + 0*t**2.
-t**3/4
Let l(a) be the second derivative of -a**8/840 - a**7/360 + a**6/720 + 23*a**4/12 - 2*a + 1. Let g(t) be the third derivative of l(t). Factor g(y).
-y*(y + 1)*(8*y - 1)
Let f(z) be the second derivative of z**4/4 - z**2/2 - 4*z - 6. Let y(p) = -9*p**2 + 2. Let a be -6 + -2*2/4. Let g(x) = a*f(x) - 2*y(x). Factor g(i).
-3*(i - 1)*(i + 1)
Let a(j) be the first derivative of -139 - 20/7*j**2 + 24/7*j**3 + 0*j**5 - 17/14*j**4 + 1/21*j**6 + 0*j. Find b such that a(b) = 0.
-5, 0, 1, 2
Suppose -3*g = -5*s - 293, 10*g - 9*g - 93 = 4*s. Suppose -92*b = -g*b + 18. Determine w, given that -4/7*w**3 + 36/7*w**b + 0 + 0*w = 0.
0, 9
Let k(z) be the third derivative of z**7/16380 + z**6/936 - 7*z**5/390 - 8*z**4 - 3*z**2 - 7. Let o(q) be the second derivative of k(q). Factor o(r).
2*(r - 2)*(r + 7)/13
Let j be 1598/8874 + 6/(-87). Let f(n) be the second derivative of -2/3*n**2 + 2/9*n**3 + j*n**4 - 1/15*n**5 + 14*n + 0. Suppose f(p) = 0. What is p?
-1, 1
Let h(d) be the first derivative of -d**5/40 - 7*d**4/24 - 62*d - 165. Let t(j) be the first derivative of h(j). Determine s, given that t(s) = 0.
-7, 0
Let d be (67 + -117)*25/(-90) + -13. Factor -1/9*s**2 + 7/9*s + d.
-(s - 8)*(s + 1)/9
Let a = 2255/61 - 6704/183. Factor -b**2 + 0*b + 4/3 - a*b**3.
-(b - 1)*(b + 2)**2/3
Factor -1/4*i + 1/4*i**3 - 1 + i**2.
(i - 1)*(i + 1)*(i + 4)/4
Suppose -n - 3 = 2*j, -256*n + 2*j = -255*n - 9. Let i(o) be the second derivative of -1/84*o**4 - 9*o + 1/21*o**n + 0 - 1/140*o**5 + 0*o**2. Factor i(h).
-h*(h - 1)*(h + 2)/7
Let w = 11194 - 44775/4. Let d(r) be the first derivative of -3/8*r - 1/24*r**3 + 3 + w*r**2. What is u in d(u) = 0?
1, 3
Suppose 103*d = 95*d + 16. Let h(q) be the third derivative of 0 + 1/36*q**3 - 1/360*q**5 + 0*q - 30*q**d - 1/240*q**6 + 1/48*q**4. Factor h(k).
-(k - 1)*(k + 1)*(3*k + 1)/6
Let s(g) be the third derivative of g**6/900 - 2*g**5/75 - g**4/180 + 4*g**3/15 + 34*g**2 + 42. Solve s(p) = 0 for p.
-1, 1, 12
Let t(m) be the third derivative of 0 - 17/120*m**5 - 2*m + 0*m**3 - 45*m**2 + 0*m**4 - 1/240*m**6. Factor t(o).
-o**2*(o + 17)/2
Let m(z) be the second derivative of 0*z**3 - 1/20*z**5 - 1/20*z**6 - 119*z + 0*z**2 + 0*z**4 - 1/84*z**7 + 0. Factor m(p).
-p**3*(p + 1)*(p + 2)/2
Let g(c) be the second derivative of c**7/42 - c**6/30 - c**5/20 + c**4/12 - 1000*c. What is w in g(w) = 0?
-1, 0, 1
Let w(r) be the third derivative of -r + 35*r**2 - 3/4*r**3 + 5/16*r**4 + 1/240*r**6 - 7/120*r**5 + 0. Find t, given that w(t) = 0.
1, 3
Let m be 209625/100 + 4/(-16). Let b be m/60 - (-104)/(-65). Find f such that b*f**2 + 314/9*f**4 - 4*f**5 + 256/9*f - 64/9 - 770/9*f**3 = 0.
-1/2, 2/9, 1, 4
Suppose -3*w + 21 = -12. Suppose -w*y = -9*y - 4. What is t in t**2 - 3*t**y + 49 - 45 - 2*t = 0?
-2, 1
Suppose a - 80*a = 41*a + 105*a + 361*a. Let j(r) = -3*r**3 - r**2 - r. Let i be j(-1). Factor a + x**2 + 0*x - 1/2*x**i.
-x**2*(x - 2)/2
Let b(a) = -a**3 + 2*a**2 + 3*a - 6. Let q be b(2). Suppose 2*k - 28 = -q*k. Factor k*j - 10*j**2 - 9*j + 5*j**2.
-5*j*(j - 1)
Let o be (-114)/6156*81/(-6). Factor 5/4*b - 3/2 - o*b**2.
-(b - 3)*(b - 2)/4
Determine h so that -17*h**4 - 39*h**5 + 66870*h**2 - 5835*h - 702 + 791*h**4 - 75582*h**2 - 2766*h**3 = 0.
-1, -2/13, 9, 13
Factor 200*z - 2/7*z**2 - 35000.
-2*(z - 350)**2/7
Let m(c) be the first derivative of 2*c**5/55 - 7*c**4/11 + 8*c**3/3 - 40*c**2/11 - 317. Find u, given that m(u) = 0.
0, 2, 10
Let j(w) be the first derivative of -w**4/9 + 28*w**3/27 + 40*w**2 + 144*w - 4953. Factor j(m).
-4*(m - 18)*(m + 2)*(m + 9)/9
Let y be 10*(0 - 5)/(-5). Let p be (-2)/y + (3 - 968/360). Factor 1/3*t**2 - 1/9*t - 1/9*t**4 + p*t**3 - 2/9.
-(t - 2)*(t - 1)*(t + 1)**2/9
Let x be 2*(44/(-8) + -2). Let n be (12/x)/(((-16)/(-10))/(-4)). Solve 5*m**4 + 1 + 10*m**n - 60*m + 111*m - m**5 - 56*m - 10*m**3 = 0 for m.
1
Let g(d) be the second derivative of -2*d + 4*d**3 + 0*d**2 - 2/3*d**4 - 21 + 1/15*d**6 - 3/10*d**5. Factor g(j).
2*j*(j - 3)*(j - 2)*(j + 2)
Let y = 693 + -337. Suppose -s + q + 66 = 0, 2*q + y = 4*s + 88. Factor -34*i**2 - 49 - 35*i**2 + 14*i + s*i**2.
-(i - 7)**2
Let g be -12 + (7 + -2)/5. Let d(q) = q**3 + 12*q**2 + 10*q + 17. Let p be d(g). What is v in 2*v - 5*v**3 + 92*v**2 + 139*v**3 - 128*v**2 + p*v**3 = 0?
0, 1/9
Let s(x) be the first derivative of x**6/3420 - x**5/76 + 3*x**4/19 - 13*x**3 + x - 39. Let j(a) be the third derivative of s(a). Suppose j(i) = 0. Calculate i.
3, 12
Let w = 578 + -459. Let d = w - 592/5. Suppose 1/5*p**2 + 7/5*p**3 - d + 2/5*p**4 - 7/5*p = 0. What is p?
-3, -1, -1/2, 1
Suppose -2*z = 3*t + 21, -2*z + 6*z + 2*t = -14. Let k(u) be the first derivative of -1/3*u**4 + 31 + 2*u**2 + z*u - 8/9*u**3. Let k(m) = 0. Calculate m.
-3, 0, 1
Let z(a) be the second derivative of -8*a - 76/9*a**3 + 1/9*a**4 + 0 + 0*a**2. Factor z(c).
4*c*(c - 38)/3
Let z be (53760/(-616))/160 - (-261)/110*2. Factor 0 - 9*p**2 - z*p**3 - 27/5*p - 3/5*p**4.
-3*p*(p + 1)*(p + 3)**2/5
Let m be (-6351)/(-87) + -62 + 64/(-6). Factor -2/3*o**2 + 0 - o + m*o**3.
o*(o - 3)*(o + 1)/3
Let g = -103 + 102. Let b be -1*(g/5 + (-28)/10). Find j, given that 18/13*j**2 + 12/13*j**b + 2/13*j**4 + 0*j + 0 = 0.
-3, 0
Solve 30*p**2 + 132*p**2 - 1155*p - 3*p**3 + 843*p = 0 for p.
0, 2, 52
Let w(t) be the third derivative of t**5/390 - 25*t**4/156 - 18*t**3/13 - 225*t**2. Factor w(d).
2*(d - 27)*(d + 2)/13
Let z(t) = -t**2 + 2*t + 1. Let m(l) = 6*l**2 - 21*l - 13. Let r = -367 - -371. Let b(w) = r*m(w) + 28*z(w). Factor b(y).
-4*(y + 1)*(y + 6)
Let z(q) = -4*q**3 + 24*q**2 + 290*q + 898. Let h(b) = -9*b**3 + 52*b**2 + 570*b + 1795. Let l(y) = -2*h(y) + 5*z(y). Determine v, given that l(v) = 0.
-5, 18
Let g(a) be the second derivative of 7*a**6/30 - 159*a**5/20 + 187*a**4/6 + 20*a**3 + a + 1279. Solve g(y) = 0.
-2/7, 0, 3, 20
Let f(z) be the third derivative of -13*z**4/24 - 115*z**3/6 + 283*z**2. Let k be f(-9). Solve -k*q + q**3 - 3/2*q**2 + 1/2*q**4 + 2 = 0 for q.
-2, 1
Let j(k) be the first derivative of k**6/1260 + k**5/210 - 7*k**3/3 - 13*k**2/2 - 184. Let o(s) be the third derivative of j(s). Factor o(u).
2*u*(u + 2)/7
Let b(d) be the third derivative of -d**6/150 - 62*d**5/75 - 55*d**4/2 + 2904*d**3/5 + 11*d**2 + 127. Factor b(j).
-4*(j - 4)*(j + 33)**2/5
Let x(l) = 2*l**2 + 72*l + 75. Let q be x(-35). Suppose 4*r + 1 = v, -q*r + 3*v = -2*v + 5. Determine j so that 12*j + 3/2*j**2 + r = 0.
-8, 0
Find i, given that -4*i**4 + 2924*i - 85*i**3 - 320*i**2 - 15724*i + 213*i**3 = 0.
-8, 0, 20
Let l(i) = -2*i**3 + i**2 - i. Let t(r) = 3*r**3 - 39*r**2 + 251*r - 387. Let s(j) = -10*l(j) - 5*t(j). Factor s(y).
5*(y - 3)**2*(y + 43)
Let u = -1/131278 + 1050229/656390. Let 3/5*f**3 - 2/5*f**2 + 1/5*f**4 - u - 12/5*f = 0. What is f?
-2, -1, 2
Let a(w) = 18*w**3 - 63*w**2 + 30*w. Let h(p) = -5*p**2 + p**3 + 9 - 9 + 3*p**2. Let q(j) = a(j) - 15*h(j). Factor q(f).
3*f*(f - 10)*(f - 1)
Let v be 6/(-1 + 0)*16/(-144)*3. Let z(o) be the first derivative of -2/3*o**6 + 4*o - 8/3*o**3 - v*o**2 + 2*o**4 + 50 + 4/5*o**5. Suppose z(m) = 0. What is m?
-1, 1
Find d such that -57/4*d - 405/8*d**2 + 207/8*d**3 + 0 + 3/2*d**4 = 0.
-19, -1/4, 0, 2
Factor 0 - 4/7*w**3 + 176/7*w + 172/7*w**2.
-4*w*(w - 44)*(w + 1)/7
Let y = 166769 + -833841/5. Factor 84/5 + y*q**2 - 88/5*q.
4*(q - 21)*(q - 1)/5
Let z(x) be the third derivative of -30*x**2 - 2*x - 4/5*x**5 + 0*x**3 - 1/30*x**6 + 0 + 14/3*x**4. Let z(y) = 0. What is y?
-14, 0, 2
Let m(i) be the third derivative of 0*i**3 + 28*i + 5/6*i**4 + 2/5*i**5 - 4/35*i**7 - 1/84*i**8 - 2/15*i**6 + 0 + i**2. Determine n so that m(n) = 0.
-5, -1, 0, 1
Let z(n) be the third derivative of -5*n**8/48 - 1333*n**7/14 - 284855*n**6/12 + 34177*n**5 + 102245*n**4/3 + 2576*n**2. Let z(u) = 0. What is u?
-286, -2/7, 0, 1
Let q(j) be the first derivative of -10*j**2 + 0*j + 2/3*j**3 + 72. What is y in q(y) = 0?
0, 10
Suppose 3*n = a + n - 201, -2*a - 3*n = -430. Let r = a - 205. Determine v, given that 9/4*v**5 + 33/4*v**r + 37/4*v**3 + 1/2*