ative of 0 + 1/180*y**5 + 5/12*y**4 - 39*y - y**2 + 0*y**3. Factor p(n).
n*(n + 30)/3
Let b(x) be the first derivative of -3*x**3 + 5*x**2 - 18*x - 90. Let o(v) = -5*v**2 + 4*v - 8. Let u(a) = 4*b(a) - 9*o(a). Factor u(z).
z*(9*z + 4)
Suppose -12*d - 10412 = 10374 - 20822. Let -6 - 15/2*w - 9/2*w**4 + 57/2*w**2 - 21/2*w**d = 0. What is w?
-4, -1/3, 1
Factor -500/9*u - 2/9*u**2 - 31250/9.
-2*(u + 125)**2/9
Let n(k) be the first derivative of -k**6/540 + 2*k**5/45 + k**4/4 + 27*k**3 - 91. Let i(y) be the third derivative of n(y). Factor i(f).
-2*(f - 9)*(f + 1)/3
Let b(c) be the third derivative of 0 - 11/6*c**3 - 14*c**2 + 0*c - 1/60*c**5 - 1/360*c**6 + 1/3*c**4. Let q(t) be the first derivative of b(t). Factor q(u).
-(u - 2)*(u + 4)
Suppose 2*r = -3*g + 47, -2*g = -3*g - 4*r + 9. Suppose 5*h + 0*h = -4*k + 31, 0 = 3*h + 2*k - g. Factor 0*b**2 + 4/5*b**h + 0*b + 0.
4*b**3/5
Let b be -5*(-6)/60 + ((-11907)/(-70))/7. Find u, given that -3844/5 + b*u - 1/5*u**2 = 0.
62
Let z(b) = 14*b**2 - 950*b - 133. Let p be z(68). Let f(t) be the first derivative of 0*t**2 - 12 + 25/2*t**4 - t**5 - 125/3*t**p + 0*t. Factor f(g).
-5*g**2*(g - 5)**2
Factor 64/13 - 386/13*t + 12/13*t**2.
2*(t - 32)*(6*t - 1)/13
Let u(v) be the third derivative of 2*v**7/105 + 5*v**6/6 + 23*v**5/5 - 435*v**4/2 - 900*v**3 - 13*v**2 + 65. Factor u(h).
4*(h - 6)*(h + 1)*(h + 15)**2
Factor 0 + 404*z**3 + 6*z**4 + 176*z + 1592/3*z**2.
2*z*(z + 66)*(3*z + 2)**2/3
Let z(t) = -t**3 + 93*t**2 - 346*t + 6844. Let q be z(90). Factor -54/5*l + 36/5 + 14/5*l**3 + 2/5*l**2 + 2/5*l**q.
2*(l - 1)**2*(l + 3)*(l + 6)/5
Let x(f) be the first derivative of -f**9/3024 - f**8/420 - 287*f**3/3 - 90. Let o(b) be the third derivative of x(b). Factor o(a).
-a**4*(a + 4)
Let a(y) be the third derivative of 7*y**8/264 - 34*y**7/55 + 281*y**6/60 - 609*y**5/55 + 349*y**4/33 - 56*y**3/11 - y**2 - 127. Let a(o) = 0. What is o?
2/7, 1, 6, 7
Factor 0*a**2 - 5*a**2 - 362*a - 269120 - 1597*a - 361*a.
-5*(a + 232)**2
Suppose -58 = -5*l + 32. What is u in -l*u**3 - 54*u - 37*u**4 - u**2 - 40*u**4 + 75*u**4 - 53*u**2 = 0?
-3, 0
Let q(z) be the third derivative of 0 + 1/280*z**7 + 1/160*z**6 - 11*z + 1/4*z**4 + 3*z**2 + 0*z**3 - 1/8*z**5. Factor q(k).
3*k*(k - 2)*(k - 1)*(k + 4)/4
Let o be (6 - (6 - 6/3))/1. Let x be (42/9 - 5)/(o/(-32)). Factor 14/3*f**2 + x*f - 10/3*f**3 - 8/3.
-2*(f - 2)*(f + 1)*(5*f - 2)/3
Let z = 4/1107 + 20969/17712. Let l = 137/16 + z. Factor -l*n**3 + 0 - 3/2*n**2 - 27/4*n**5 - 15*n**4 + 0*n.
-3*n**2*(n + 1)**2*(9*n + 2)/4
Let w be ((-396)/(-15))/(-4)*(-16 - (-2996)/196). Factor -81/7*m**2 - 3/7*m**4 - 24/7 - w*m**3 - 75/7*m.
-3*(m + 1)**3*(m + 8)/7
Let v(h) be the second derivative of 0 + 2/9*h**4 + 0*h**2 - 1/45*h**6 + 1/126*h**7 + 0*h**3 + 219*h - 1/15*h**5. Factor v(q).
q**2*(q - 2)**2*(q + 2)/3
Let j(r) be the first derivative of -1/15*r**5 - 37/9*r**3 - 15/2*r**2 - 128 - 6*r - 11/12*r**4. Factor j(f).
-(f + 1)**2*(f + 3)*(f + 6)/3
Determine q so that 6611*q - 2880 + 5665*q - 996*q + 20*q**3 + 1188*q**2 - 233*q**2 = 0.
-24, 1/4
Suppose 27*q = 15*q + 2196. Let l = 185 - q. What is d in 3/8 + 1/4*d - 1/8*d**l = 0?
-1, 3
Let u(s) be the third derivative of 25*s**2 + 3/11*s**3 + 0 + 1/660*s**6 + 5/44*s**4 + 7/330*s**5 + 0*s. Factor u(n).
2*(n + 1)*(n + 3)**2/11
Let j(u) = -3*u**2 + 7*u + 107. Let p be j(-8). Let n = p - -989/7. Let -2/7*w**5 - 2/7 + 4/7*w**3 + 4/7*w**2 - n*w - 2/7*w**4 = 0. What is w?
-1, 1
Let t(z) = 10*z**3 + 61*z**2 + 7*z + 6. Suppose -3*l + 4*p = 22, 3*l - 5*p = 8*l + 25. Let m be t(l). Factor 1/3*v + m + 1/3*v**2 - 1/3*v**4 - 1/3*v**3.
-v*(v - 1)*(v + 1)**2/3
Factor 2952424*d**2 + 31620*d + 2287449*d**2 - 1907125*d**2 + 75.
3*(1054*d + 5)**2
Let b(n) = 2*n**2 + n + 2. Let i(z) = -8*z**2 - 262*z - 135. Let w(x) = -3*b(x) - i(x). Factor w(p).
(p + 129)*(2*p + 1)
Let q = -212/5 - -214/5. Let a(p) be the first derivative of 0*p**2 - 3/2*p**4 + q*p**5 - 8 + 0*p + 4/3*p**3. Determine y, given that a(y) = 0.
0, 1, 2
Let c be 5 - (-2 + 3 - 82). Solve 41*i**2 - c*i**2 - 20*i + 49*i**2 = 0.
0, 5
Let k = 3395/528 + -193/176. Suppose 68/3*p + k + 38/3*p**2 - 14/3*p**3 = 0. Calculate p.
-1, -2/7, 4
Find b, given that -36*b**5 + 51*b + 173*b**2 + 54 - 2*b**3 + 74*b**2 - 13*b - 30 - 223*b**4 - 48 = 0.
-6, -1, -4/9, 1/4, 1
Suppose 4*l + 2*v - 24 = 0, 72 - 108 = -2*l - 5*v. Factor -1/5*c**l - 1 - 7/5*c**2 - 11/5*c.
-(c + 1)**2*(c + 5)/5
Let o(k) be the second derivative of -k**8/1120 + k**7/35 - 4*k**6/15 - k**3/6 + 53*k**2/2 + 29*k + 2. Let p(g) be the second derivative of o(g). Factor p(d).
-3*d**2*(d - 8)**2/2
Let i(p) be the second derivative of 4096*p**5/5 + 2304*p**4 + 2592*p**3 + 1458*p**2 - 1024*p. Factor i(x).
4*(16*x + 9)**3
Let j(r) be the second derivative of -3/2*r**4 - 9*r**2 + 11/2*r**3 + r - 42 + 3/20*r**5. Find h, given that j(h) = 0.
1, 2, 3
Let r(w) be the first derivative of -w**3/15 + 71*w**2/10 - 6979. Factor r(x).
-x*(x - 71)/5
Let p(k) be the second derivative of -k**7/63 + k**6/9 + 2*k**5/5 - 38*k**4/9 + 80*k**3/9 + 3135*k. Solve p(w) = 0 for w.
-4, 0, 2, 5
Suppose -17*s = -12*s - 17*m + 36, 5*m = s + 12. Let -16 - 2/3*y**s - 20/3*y**2 - 56/3*y = 0. What is y?
-6, -2
Suppose -50 = -5*b + 6*c, -5 = 5*b - 20*c + 25*c. Let -4/5*j**5 + 4*j**3 - 16/5*j - 4*j**2 + 4/5*j**b + 16/5 = 0. Calculate j.
-2, -1, 1, 2
Let i(b) be the second derivative of b**4/54 + 2*b**3/27 - b**2/3 - 1251*b. Suppose i(q) = 0. What is q?
-3, 1
Factor -828 + 497*o + 104*o + 224*o + 6*o**2 - 3*o**2 + 0*o**2.
3*(o - 1)*(o + 276)
Let i(v) be the third derivative of v**6/600 + 11*v**5/30 - 116*v**4/15 + 944*v**3/15 - 15*v**2 - 70*v - 2. Factor i(t).
(t - 4)**2*(t + 118)/5
Determine z, given that -9*z + 99 - 44*z**2 - 75 - 10*z + 35*z**2 = 0.
-3, 8/9
Let s(c) be the second derivative of 0*c**2 + 1/100*c**5 - 1/20*c**4 + 97*c + 1/15*c**3 + 0. Factor s(n).
n*(n - 2)*(n - 1)/5
Let l(x) be the second derivative of -x**4/4 + 25*x**3/2 - 231*x**2 + 13*x + 4. Determine g so that l(g) = 0.
11, 14
Suppose h = -5*q + 23, -3 = -2*h + 3*q - 9. What is d in 16*d - 7*d**2 + d**2 + 5*d**2 + 15*d**3 + 9*d**2 - 14*d**h = 0?
-4, 0
Let f be (-2)/(42/(-18) + 2). Let i be 9492/756 - (f - -1). Factor i - 2/9*t**3 - 10/3*t - 2*t**2.
-2*(t - 1)*(t + 5)**2/9
Let u(l) be the first derivative of -9/130*l**5 + 4*l + 8/39*l**3 + 4/13*l**2 - 11 - 1/26*l**4. Let z(o) be the first derivative of u(o). Factor z(d).
-2*(d - 1)*(3*d + 2)**2/13
Let n(z) be the second derivative of z**6/90 + z**5/10 - 25*z**3/2 + 153*z. Let l(t) be the second derivative of n(t). Factor l(v).
4*v*(v + 3)
Let d(j) = 19*j**2 + 8*j - 21 + 31 - 5*j**3 - 22. Let r(m) = -m**3 + m**2 - 1. Let b(h) = 5*d(h) - 40*r(h). Factor b(w).
5*(w + 2)**2*(3*w - 1)
Let u(b) be the third derivative of -5*b**8/48 - 13*b**7/21 + 89*b**6/8 - 275*b**5/6 + 485*b**4/6 - 60*b**3 + 1190*b**2. What is m in u(m) = 0?
-9, 2/7, 1, 2
Let c(u) = 22*u**3 + 1290*u**2 + 1308*u - 2572. Let q(p) = 13*p**3 + 774*p**2 + 784*p - 1543. Let f(m) = -7*c(m) + 12*q(m). Factor f(z).
2*(z - 1)*(z + 2)*(z + 128)
Let b(u) be the first derivative of -4*u - 8*u**3 + 43 + 4*u**4 - 4/5*u**5 + 8*u**2. Factor b(l).
-4*(l - 1)**4
Factor -126161*u - 118864*u - 4*u**3 + 1849831 + u**3 - 1485*u**2 - 15326206.
-3*(u + 165)**3
Let p(b) be the first derivative of -2*b**3/27 + 64*b**2/9 - 160*b/3 + 1099. Suppose p(f) = 0. Calculate f.
4, 60
Let w(o) be the second derivative of 2*o**7/21 - 4*o**6/15 - 37*o**5/5 + 158*o**4/3 - 112*o**3 + 752*o. Suppose w(k) = 0. Calculate k.
-7, 0, 2, 3, 4
Let d be 78/24*(-340)/(-442). Let q(p) be the second derivative of d*p**3 + 25*p**2 - 5/12*p**4 + 50*p + 0. Factor q(f).
-5*(f - 5)*(f + 2)
Let c(x) be the second derivative of -1/180*x**6 + 0*x**2 + 1/6*x**3 + 4*x + 0 - 1/20*x**5 - 1/6*x**4. Let p(t) be the second derivative of c(t). Factor p(q).
-2*(q + 1)*(q + 2)
Suppose 0 = 2*q + 3*n + 2835, -3*q - 3*n - 1652 = 2605. Let h be q/(-648) - 2/(-8). Find w, given that 4/9*w + 8/3*w**3 + 0 + h*w**2 - 2*w**4 = 0.
-1/3, 0, 2
Let i(l) be the third derivative of 1/102*l**6 + 0*l + 5/51*l**3 - 1/595*l**7 + 0 - 1/2856*l**8 - 1/255*l**5 - 3/68*l**4 + 8*l**2. Solve i(b) = 0 for b.
-5, -1, 1
Let a(n) = 7*n**2 + 182*n + 1620. Let t(o) = 162 + 365*o + 4 + 2537 + 15*o**2 + 537. Let s(g) = 5*a(g) 