 - 22*l - 12. Suppose -3*s = -5 + 2. Let n(d) = s*f(d) + y*g(d). Factor n(z).
-4*(z + 1)*(z + 3)
Solve 8025*i - 4800 - 2745*i + 132*i**3 - 396*i**2 - 1296*i**2 + 21*i**4 - 24*i**4 = 0 for i.
2, 20
Let s(r) be the first derivative of -11*r**4/40 - 97*r**3/30 - 7*r**2/2 + 8*r/5 + 66. Factor s(f).
-(f + 1)*(f + 8)*(11*f - 2)/10
Let f(s) be the first derivative of -s**7/735 + s**6/140 - s**4/21 - 29*s**2/2 - 36. Let t(j) be the second derivative of f(j). Factor t(l).
-2*l*(l - 2)**2*(l + 1)/7
Factor -1/4*p**3 + 0 - p**2 - 3/4*p.
-p*(p + 1)*(p + 3)/4
Suppose -33052 = -2*d - 33052. Factor 3/2*t + 9/4*t**2 - 3/4*t**4 + d + 0*t**3.
-3*t*(t - 2)*(t + 1)**2/4
Factor -2/5*x**3 + 0*x + 0 - 2*x**2.
-2*x**2*(x + 5)/5
Let f be ((-1)/(-5))/((-2)/1230*2). Let u = 619/10 + f. Factor 0*k + 0 - u*k**3 - 2/5*k**2.
-2*k**2*(k + 1)/5
Let a(m) be the first derivative of 0*m - 2 - m**3 + 1/8*m**4 + m**2 - 1/40*m**6 + 1/10*m**5. Let y(s) be the second derivative of a(s). Factor y(w).
-3*(w - 2)*(w - 1)*(w + 1)
Let t be (-5)/7 - (20366/476 + -45). Solve 3 - t*h**3 + 6*h**2 - 15/2*h = 0 for h.
1, 2
Suppose 2*f + 32 = -3*x, -2*f = 2*x + 2*f + 32. Let i be -4 - (-1)/(x/(-38)). What is r in 3/2 - 3/4*r**4 + 9/4*r - i*r**2 - 9/4*r**3 = 0?
-2, -1, 1
Let r(v) be the second derivative of v**9/7056 + v**8/3920 - v**7/1960 - v**6/840 - 11*v**3/3 + 23*v. Let j(q) be the second derivative of r(q). Factor j(u).
3*u**2*(u - 1)*(u + 1)**2/7
Suppose -7*v + 6 + 15 = 0. Determine b so that 25*b**3 + 11*b**v - 4*b + 9*b**5 + b**3 - 34*b**4 - 8*b**2 = 0.
-2/9, 0, 1, 2
Suppose -7*s + 30 = 18*j - 17*j, -4*s = -j - 3. Determine y so that 0*y - 4/5*y**s - 2/5*y**4 - 2/5*y**2 + 0 = 0.
-1, 0
Let y(x) be the second derivative of -1/16*x**5 - 1715/8*x**2 - 35/16*x**4 - 19*x - 245/8*x**3 + 0. Factor y(u).
-5*(u + 7)**3/4
Let r(g) be the first derivative of 2 + 1/30*g**5 - 1/6*g**4 + 0*g**3 + 3/2*g**2 + 0*g. Let k(b) be the second derivative of r(b). Find x such that k(x) = 0.
0, 2
Suppose -136*r + 0*r**4 + 11*r**4 + 135*r**3 - 8*r**4 - 1451*r + 1449*r**2 = 0. What is r?
-23, 0, 1
Let a(t) be the second derivative of t**6/10 + 27*t**5/10 + 30*t**4 + 176*t**3 + 576*t**2 - 8*t + 5. Suppose a(f) = 0. Calculate f.
-6, -4
Let b(j) be the third derivative of -j**8/112 - 4*j**7/35 - j**6/2 - 4*j**5/5 - 812*j**2. Factor b(i).
-3*i**2*(i + 2)**2*(i + 4)
Let i(s) = 60840*s**2 - 6190*s + 185. Let d(r) = -7605*r**2 + 774*r - 23. Let g(t) = 25*d(t) + 3*i(t). Determine o so that g(o) = 0.
2/39
Let w be 2 + -5 + ((-5)/(-1) - 0). Let k = 3079/7 + -439. Factor 0 + k*n**3 - 2/7*n**4 + 2/7*n - 6/7*n**w.
-2*n*(n - 1)**3/7
Let n be (6/4)/3*(1 + 67). Find h such that -20*h**2 - 2 - n*h + 19*h + 7 = 0.
-1, 1/4
Let n be 0/(21/56 - (-39)/24). Factor -5/4*g**5 - 5/2*g**4 + 0*g**2 - 5/4*g**3 + 0 + n*g.
-5*g**3*(g + 1)**2/4
Let q be 66/14 - 2/(-7). Suppose 3*p = q*d - 29, 0*p + p + 3 = 0. Factor 12*k - d*k**2 - 17 + k**2 + 9 - k**2.
-4*(k - 2)*(k - 1)
Let -30 + 19*d**2 + 30*d**3 - 11*d**2 - 88*d - 2*d**4 + 32*d**2 - 8*d**4 + 63*d - 5*d**5 = 0. What is d?
-3, -1, 1, 2
Let w be 57/(-9) + 10/(-15). Let q = 8 - w. Solve a**2 - 5*a**2 - 15*a**3 - 5*a**4 - 2*a**2 + q*a + 10 + a**2 = 0 for a.
-2, -1, 1
Let b(o) be the first derivative of 0*o**3 + 1/36*o**4 - o + 0*o**2 - 6. Let h(w) be the first derivative of b(w). Factor h(x).
x**2/3
Let t(a) be the first derivative of -a**5/30 - 7*a**4/6 - 15*a**3 - 81*a**2 - 243*a/2 + 441. Solve t(l) = 0 for l.
-9, -1
Let h(s) be the first derivative of -s**6/30 + 16*s**5/25 + 9*s**4/5 + 2*s**3/15 - 7*s**2/2 - 18*s/5 - 35. Factor h(f).
-(f - 18)*(f - 1)*(f + 1)**3/5
Suppose -1 + 3 = c. Factor -11*i**2 + 17*i**2 - 5*i**3 - i**c - 5*i**4 + 5*i.
-5*i*(i - 1)*(i + 1)**2
Suppose 0 = -2*u - 5*h + 28, -3*u + 2*u = h - 8. Factor -3*o**2 - o - 3*o**2 - u*o**4 - 5*o**3 - 4*o**3.
-o*(o + 1)**2*(4*o + 1)
Let o(z) = -z**2 - 13*z - 36. Let w(j) = -j**2 - 4*j - 35. Let l(s) = 4*o(s) - 5*w(s). Factor l(p).
(p - 31)*(p - 1)
Let h be 4/(54648/44130) + -3. Let u = h + -2/253. Let -2/9 + 0*l + u*l**2 = 0. Calculate l.
-1, 1
Let w(d) be the first derivative of d**5/20 + 17*d**4/16 - 19*d**3/6 + 123. Factor w(l).
l**2*(l - 2)*(l + 19)/4
Let a(q) = -4*q**3 - 118*q**2 - 236*q - 125. Let s(t) = -10*t**3 - 354*t**2 - 710*t - 374. Let k(b) = -8*a(b) + 3*s(b). Factor k(c).
2*(c - 61)*(c + 1)**2
Let n(f) be the third derivative of 1/18*f**3 + 0*f - 21*f**2 + 0 + 1/120*f**5 - 5/144*f**4 - 1/1260*f**7 + 1/720*f**6. Factor n(t).
-(t - 1)**3*(t + 2)/6
Let m(q) = -25*q**3 - 307*q**2 - 605*q - 192. Let j(v) = 37*v**3 + 460*v**2 + 908*v + 288. Let t(l) = -5*j(l) - 8*m(l). Determine w so that t(w) = 0.
-8, -2, -2/5
Solve 119*h**4 + 3*h**5 + 3*h**3 - 248*h**4 + 123*h**4 = 0 for h.
0, 1
Let x be (51/(-6) - -7) + 2. Let f(y) be the second derivative of x*y**3 + 5*y + 0 + 1/12*y**4 + y**2. Find m, given that f(m) = 0.
-2, -1
Let s be (-6)/520*2*(-218)/12. Let z = -1/52 + s. Factor 0 + z*n**2 + 6/5*n.
2*n*(n + 3)/5
Factor -6*d**2 - 201*d - 73 - 73 + 146 + 3*d**2.
-3*d*(d + 67)
Suppose 20 = 117*u - 112*u. Let d(m) be the third derivative of -25/24*m**4 + 0 - u*m**2 + 0*m + 5/2*m**3 + 1/12*m**5 + 1/24*m**6. Find o, given that d(o) = 0.
-3, 1
Let d(q) be the second derivative of -3*q**5/100 + q**4/5 - 3*q**3/10 - 3*q - 7. Factor d(m).
-3*m*(m - 3)*(m - 1)/5
Let g be 0 + 0 + (-1)/(-7). Let w(z) = -z**3 + 189*z**2 + 771*z - 1. Let h be w(-4). Determine k, given that 2/7 + g*k**h - 3/7*k + 0*k**2 = 0.
-2, 1
Suppose -12*x = -9*x. Let n be (-32)/(-4) + (-3 - 0). Find o, given that 0*o + 4/5*o**2 + x*o**4 + 2/5*o**n - 6/5*o**3 + 0 = 0.
-2, 0, 1
Let d(q) be the third derivative of 0 + 3/50*q**5 + 0*q - 26*q**2 - 1/350*q**7 + 0*q**6 + 3/10*q**3 - 1/5*q**4. Factor d(y).
-3*(y - 1)**3*(y + 3)/5
Let q(v) be the first derivative of -v**5/15 + 2*v**4/3 + 16*v**3/3 - 66. Factor q(l).
-l**2*(l - 12)*(l + 4)/3
Let m(f) be the second derivative of -f**4/48 + f**3/6 - f**2/2 - 4*f - 3. Let m(d) = 0. What is d?
2
Let v(x) = 3*x**2 - x + 2. Let s be v(-2). Factor -2*q**3 - 16*q**2 + 28*q**2 - s*q + 8 - 2*q**2.
-2*(q - 2)**2*(q - 1)
Find j such that 72 + 72*j**2 - 120*j - 18*j**3 + 3/2*j**4 = 0.
2, 6
Let u(f) be the third derivative of f**8/784 + 3*f**7/490 - 29*f**6/280 - 3*f**5/140 + f**4/2 + 416*f**2. Let u(z) = 0. Calculate z.
-7, -1, 0, 1, 4
Suppose -370*h**5 - 7*h**2 + 2 + 2*h**4 + 181*h**5 + 180*h**5 - 9*h + 18*h**3 + 3*h**2 = 0. What is h?
-1, 2/9, 1
Let z(x) be the first derivative of 20*x**5 + 165*x**4 - 92*x**3 + 14*x**2 + 252. Factor z(y).
4*y*(y + 7)*(5*y - 1)**2
Let s = -41/2 - -21. Suppose -5*g - 2*k = 6, -g + 3 = -7*k + 6*k. Suppose -1/2*v**3 + g + 0*v - v**2 + s*v**4 = 0. Calculate v.
-1, 0, 2
Let k(t) be the third derivative of 0*t + 1/200*t**6 + 1/100*t**5 + 1/120*t**4 + 0*t**3 + 21*t**2 + 1/1050*t**7 + 0. Determine o so that k(o) = 0.
-1, 0
Let d(y) = y**2 + y - 1. Let o be d(2). Let r = o - 0. Solve -147*c**r - 26*c**4 - 51*c**4 + 135*c**3 + 12*c + 84*c**2 - 7*c**4 = 0.
-1, -2/7, 0, 1
Let g(a) = -a**2 + 3*a + 7. Let h be g(4). Let k(b) be the third derivative of 0*b - 3/280*b**6 - 2*b**2 - 1/20*b**5 + 0 - 1/14*b**h - 5/56*b**4. Factor k(t).
-3*(t + 1)**2*(3*t + 1)/7
Let q(a) be the first derivative of -1/6*a**4 - 2/3*a**3 - a**2 - 2/3*a + 6. Factor q(n).
-2*(n + 1)**3/3
Let k(w) be the third derivative of -7*w**6/90 + w**5/15 + w**3 + 11*w**2. Let i(p) be the first derivative of k(p). Suppose i(b) = 0. Calculate b.
0, 2/7
Let c = -5 + 9. Let f(k) = 102*k - 9*k**3 - 5*k**3 - 122*k + 32*k**2 - 20. Let n(l) = -l**3 - l**2 + l - 1. Let a(m) = c*n(m) - f(m). Solve a(w) = 0.
-2/5, 2
Let s(o) = -o**2 + 5*o - 10. Let k(f) = 2. Let x(p) = -3*k(p) - s(p). Factor x(u).
(u - 4)*(u - 1)
Let q(a) = 3*a**2 - 40*a + 39. Let b(n) = -17*n**2 + 201*n - 195. Let d(l) = 4*b(l) + 22*q(l). Factor d(o).
-2*(o - 1)*(o + 39)
Let v(h) be the second derivative of -h**5/10 + 6*h**4 + 25*h**3 + 38*h**2 - 274*h. Factor v(x).
-2*(x - 38)*(x + 1)**2
Let y(m) be the first derivative of m**6/12 - m**5/8 - 5*m**4/8 + 5*m**3/12 + 5*m**2/2 + 17*m - 1. Let x(g) be the first derivative of y(g). Factor x(a).
5*(a - 2)*(a - 1)*(a + 1)**2/2
Let o(p) be the second derivative of p**4/6 + 3*p**3 - 10*p**2 - p + 2. Solve o(d) = 0.
-10, 1
Let v(j) = -j**3 - 8*j**2 + 2*j + 19. Let b b