(j) be the first derivative of j**4/66 - 52*j**3/33 + 676*j**2/11 + 10*j + 81. Let l(r) be the first derivative of q(r). Solve l(z) = 0.
26
Factor -4/5*p + 2/5*p**4 + 0 - 9/5*p**3 + 12/5*p**2.
p*(p - 2)**2*(2*p - 1)/5
Suppose -138 + 238 = -10*i. Let v be (12/i)/((-10)/30). Factor -v - 1/10*k**2 - 6/5*k.
-(k + 6)**2/10
Let u(x) be the third derivative of -17/80*x**5 - 1/1344*x**8 + 0*x + 1/280*x**7 + 31/48*x**4 + 39*x**2 - x**3 + 11/480*x**6 + 0. Find z, given that u(z) = 0.
-4, 1, 2, 3
Let x(q) be the third derivative of -2*q + 0 - 10/3*q**3 - 29/12*q**5 - 1/14*q**7 + 2/3*q**6 + 25/6*q**4 - 2*q**2. Determine b so that x(b) = 0.
1/3, 1, 2
What is h in 2329628 + 371712*h - 3333173 - 13302629 - 29308034 - 1056*h**2 + h**3 = 0?
352
Factor -103*x**2 - 20*x**3 + 491 - 586 + 290*x + 250*x**2 + 133*x**2 + 85*x**2.
-5*(x - 19)*(x + 1)*(4*x - 1)
Let f = 33310 - 33284. Let v(w) be the second derivative of -7/9*w**2 - 1/54*w**4 + f*w + 0 + 8/27*w**3. Factor v(u).
-2*(u - 7)*(u - 1)/9
Let d(l) be the second derivative of -l**6/36 + 27*l**5/40 + 23*l**4/24 - 17*l**3/36 - 15*l - 30. Suppose d(f) = 0. Calculate f.
-1, 0, 1/5, 17
Let g(p) be the second derivative of -2*p**6/15 + 128*p**5/5 - 3694*p**4/3 - 17152*p**3 - 80802*p**2 + 7165*p. What is w in g(w) = 0?
-3, 67
Suppose 3*z = c + 53, 0 = -3*z - 9*c + 5*c + 28. Let w(a) be the first derivative of 1/3*a**2 + z + 8/27*a**3 + 0*a + 1/18*a**4. Solve w(m) = 0 for m.
-3, -1, 0
What is v in -56/9 + 4/3*v - 100/9*v**3 + 16*v**2 = 0?
-14/25, 1
Let i be (-10)/2 + (-322)/(-46). Let q(a) be the first derivative of 4/5*a**5 + a**4 + 15 + 0*a - 4/3*a**3 - 2*a**i. Let q(r) = 0. Calculate r.
-1, 0, 1
Let b(f) be the second derivative of 6*f + 0 + 1/360*f**5 + 2*f**2 + 1/72*f**4 + 0*f**3. Let g(p) be the first derivative of b(p). Factor g(h).
h*(h + 2)/6
Let r be 3*9/(108/8). Suppose r*h + 234 = w + 3*h, 1164 = 5*w + 3*h. What is c in -6*c - 2 + 2 - w*c**3 - 21*c**2 + 243*c**3 = 0?
-1/4, 0, 2
Let a be (252/84)/(0 + (3 - 2)). Suppose -5*r = 25, 3*r - 2 = -a*x - 5. Find m, given that -23/4*m**3 + 5/4*m**x + 2*m + 0 + 5/2*m**2 = 0.
-2/5, 0, 1, 4
Suppose 0 = 24*k + 31 + 41. Let q be k + -18*6/(-30). Suppose q*z**2 - 3/5 + 0*z = 0. Calculate z.
-1, 1
Let u be (12 + -1 - -3) + -2. Factor 14 + 50*i - 2*i**3 - 4026*i**2 + 4048*i**2 + u.
-2*(i - 13)*(i + 1)**2
Factor -40*v**2 + 32*v - 9 + 48*v + 2183 + 68 + 38*v**2.
-2*(v - 59)*(v + 19)
Factor -2/9*r**2 + 332/9*r - 742/3.
-2*(r - 159)*(r - 7)/9
Let m(t) = -t**3 + 10*t**2 + 24*t + 30. Let g be m(12). Factor -7812 + g*q - 35*q**2 + 5*q**4 + 7812.
5*q*(q - 2)*(q - 1)*(q + 3)
Let m(j) = -10*j + 19. Let f(l) = 3*l - 6. Let b(v) = 14*f(v) + 4*m(v). Let o be b(5). Factor 185*i + i**2 + o*i**2 - 179*i + 3.
3*(i + 1)**2
Let m(f) be the first derivative of -f**6/12 + 11*f**5/15 - 23*f**4/12 + 2*f**3 + 4*f**2 - 3*f + 45. Let b(o) be the second derivative of m(o). Factor b(u).
-2*(u - 3)*(u - 1)*(5*u - 2)
Let q(j) be the second derivative of 1/14*j**7 - 1/2*j**3 + 47 + 0*j**5 + j + 0*j**2 + 1/5*j**6 - 1/2*j**4. Factor q(y).
3*y*(y - 1)*(y + 1)**3
Let w(i) be the second derivative of -8/27*i**3 + 6 - 8*i + 4/9*i**2 - 1/90*i**5 + 5/54*i**4. Factor w(u).
-2*(u - 2)**2*(u - 1)/9
Let x(h) be the third derivative of -1/280*h**7 - 3*h - 3/80*h**6 + 5/32*h**4 - 1/40*h**5 + 3*h**2 + 0 + 1/448*h**8 + 3/8*h**3. Factor x(s).
3*(s - 3)*(s - 1)*(s + 1)**3/4
Let u(l) be the third derivative of l**5/8 - 65*l**4/72 - 5*l**3/12 + 2955*l**2. Determine r, given that u(r) = 0.
-1/9, 3
Let b be 4 + 117*(-16)/576. Determine y, given that -15/4*y**2 + 0*y + 0 + b*y**3 = 0.
0, 5
Suppose 388*t - 899 = -123. Factor 1/2*f**t - 2*f - 6.
(f - 6)*(f + 2)/2
Let b(m) = -m**2 - 13*m - 6. Let t be 3/((-15)/5)*11. Let z be b(t). Let -l**3 - 39*l**5 + 12*l**4 + z - 28*l**2 - 3*l**3 + 43*l**5 = 0. Calculate l.
-2, -1, 1
Let r(q) be the second derivative of q**6/120 - q**5/20 + 5*q**4/48 - q**3/12 - 903*q. Factor r(b).
b*(b - 2)*(b - 1)**2/4
Let h = 1780/3 - 585611/987. Let x = h - -2623/987. Factor 1/3*o + 5/3*o**3 - x*o**2 + 2/3.
(o - 1)**2*(5*o + 2)/3
Let x(k) be the third derivative of -6*k**2 - 968*k**3 + 2*k + 0 - 11*k**4 - 1/20*k**5. Factor x(o).
-3*(o + 44)**2
Let h be 27*12/36 + 6*-1. Let l(w) be the first derivative of 1/6*w**h + 0*w - 1/4*w**2 - 12. Determine q, given that l(q) = 0.
0, 1
Let v be (-68)/(-10)*((4 - (-252)/(-60)) + 114/70). Factor 72/7*p**2 + 1/7*p**4 - 3*p**3 - v*p + 0.
p*(p - 17)*(p - 2)**2/7
Let y be 2/4 - 0 - 271/2. Let c be 6 + -6*(-126)/y. Determine i so that -2/5*i**2 + 2/5*i + c - 2/5*i**3 = 0.
-1, 1
Let q be (153/63 - -7)/((-1)/(-14)). Let p be 24/q + 42/11. Factor 0*n - 2/7*n**3 - 2/7*n**p + 0*n**2 + 0.
-2*n**3*(n + 1)/7
Suppose -61*m = -109*m + 192. Let f(o) be the second derivative of 1/70*o**5 - 5/42*o**3 - 1/84*o**m - 37*o - 1/7*o**2 + 0. Suppose f(z) = 0. What is z?
-1, -1/2, 2
Let r(c) be the third derivative of c**8/336 - c**7/70 - c**6/24 + c**5/20 + c**4/6 - 1678*c**2. Determine b so that r(b) = 0.
-1, 0, 1, 4
Factor -141/10*x + 1/10*x**3 - 45/2 - 19/10*x**2.
(x - 25)*(x + 3)**2/10
Let b = -9648 - -9684. Let m(q) be the second derivative of 0*q**3 + 25/6*q**4 + b*q + 1/15*q**6 + 0 + q**5 + 0*q**2. Factor m(t).
2*t**2*(t + 5)**2
Let j be ((-2)/25 + (-134)/(-1675))/(-2). Let q(w) be the second derivative of 10/3*w**3 + j*w**2 - 4/3*w**4 + 0 + 11*w - 1/5*w**5. Let q(k) = 0. Calculate k.
-5, 0, 1
Let h(w) be the first derivative of 2*w**3/15 + 4*w**2/5 - 192*w/5 - 4329. Factor h(t).
2*(t - 8)*(t + 12)/5
Let k(d) = d**2 + 3*d - 28. Let b be k(0). Let o be 5 + 2/(-8) + 133/b. Factor 0 - 4/5*w**3 + 0*w**2 + o*w.
-4*w**3/5
Let x(o) be the third derivative of o**6/120 + o**5/15 - o**4/3 - 11*o**3/6 + 3*o**2. Let i be x(-5). Factor -2*k**2 + 3 + 3*k**2 + 0 - i*k.
(k - 3)*(k - 1)
Let n be (-18)/(-30) - ((-726)/(-10) - 3). Let y = n + 65. Let v(s) = -s**2. Let q(k) = k**4 + 3*k**3 - k**2. Let p(d) = y*q(d) + 12*v(d). Factor p(a).
-4*a**2*(a + 1)*(a + 2)
Suppose -4*v - 35 = -c, 9*v + 2*c = 4*v - 34. Let l be (-18)/(-24) + (-618)/v. Find o such that 74 - 4*o - l + 2*o**2 + 2*o = 0.
-1, 2
Let n be 2 + 2*(-106)/100. Let r = 107/150 - n. Solve 1/6 - 7/6*f**4 + f**2 - 1/3*f**3 + r*f - 1/2*f**5 = 0 for f.
-1, -1/3, 1
Let f(o) be the first derivative of -7*o**4/30 + 122*o**3/15 - 26*o**2/15 - 13205. What is a in f(a) = 0?
0, 1/7, 26
Let k(m) be the third derivative of 30*m**2 + 0*m + 0 + 0*m**3 + 1/12*m**5 + 35/24*m**4. Suppose k(l) = 0. What is l?
-7, 0
Find t, given that 223/2*t**4 - 395/2*t**2 - 5/2*t**5 - 433*t + 331/2*t**3 - 184 = 0.
-1, 8/5, 46
Let v(w) be the second derivative of 5*w**7/21 + 14*w**6/5 + 4*w**5 - 41*w**4/3 - 47*w**3 - 56*w**2 - 3154*w. Factor v(n).
2*(n + 1)**3*(n + 7)*(5*n - 8)
Let b = -236856 + 236861. Factor 0*u**3 + 0*u**2 + 0*u + 0 + 3/5*u**b - 21*u**4.
3*u**4*(u - 35)/5
Determine b so that 3/5*b**3 - 12*b + 0 + 3/5*b**2 = 0.
-5, 0, 4
Let z(d) be the third derivative of d**5/20 - 31*d**4/8 + 105*d**3 - d**2 + 121. Factor z(l).
3*(l - 21)*(l - 10)
Suppose 0 = -a - 5*o + 5154, 20578 = 4*a - 40*o + 41*o. Let -544*r - 161*r + a + 72*r + 4*r**2 + 39800 - 215*r = 0. What is r?
106
Solve 412/7*m - 228/7 + 11/7*m**2 = 0 for m.
-38, 6/11
Let s be (-13950)/160*6 - 2/(-16). Let b = s + 531. Solve 8/3*y**4 - 16/3*y + 0 - 1/3*y**5 + 32/3*y**2 - b*y**3 = 0.
0, 2
Let g(q) = 5*q - 12. Let u be g(4). Suppose -5*i = 3*z - 44, -3*z = -4*i - z + 22. Let -7*d + d**4 - 9*d**3 + i*d + u*d**3 = 0. Calculate d.
0, 1
Let d = 36505/292552 + 8/36569. Suppose -d*v**2 + 1/2*v - 1/2 = 0. Calculate v.
2
Let q be ((-48)/1728*-18)/((-6)/(-28)). Factor 10/3 + 23/3*n - 40/3*n**2 + q*n**3.
(n - 5)*(n - 1)*(7*n + 2)/3
Factor -140*k**3 + 162*k**2 - 14*k**2 + 28*k**2 - 111*k**2 + 25*k**4 + 50*k.
5*k*(k - 5)*(k - 1)*(5*k + 2)
Let b be (-6)/(-18)*(-5*18/45 - -8). Factor -22*h - b - 57/2*h**2.
-(3*h + 2)*(19*h + 2)/2
Suppose -317*q - 458*q + 100*q - 20*q**2 + 170 = 0. Calculate q.
-34, 1/4
Let u(p) = p**4 - 25*p**3 + 30*p**2 - 4*p - 2. Let c(k) = -15*k**4 + 425*k**3 - 510*k**2 + 70*k + 35. Let b(j) = 2*c(j) + 35*u(j). Factor b(t).
5*t**2*(t - 3)*(t - 2)
Factor 148/9 + 2/9*k**2 + 50/3*k.
2*(k + 1)*(k + 74)/9
Let w be (-10)/2 - -6 - -1. Factor 10*o**w - o**4 - 15*o**3 + 6*o**4 + 0*o**4.
5*o**2*(o - 2)*(o - 1)
Let a = 