 + 0*g**2 + 5 + 9/2*g**3 + g - 3/20*g**5. Factor i(b).
-3*b*(b - 3)*(b + 1)*(b + 3)
Factor 1656*g + 1531*g**2 - 29*g**3 + 370 + 443*g**3 + 3*g**5 - 319*g**2 + 494 + 63*g**4.
3*(g + 2)**3*(g + 3)*(g + 12)
Let s(o) = 1523*o - 12182. Let i be s(8). Solve 160/13*z + 9200/13*z**4 + 314/13*z**i - 4682/13*z**3 - 5000/13*z**5 + 8/13 = 0.
-2/25, 1/2, 1
Let s be (-4)/(-8) - (-33)/(-66). Let h(l) be the second derivative of 0*l**2 - 35*l + 1/20*l**5 + 1/2*l**3 + s - 1/3*l**4. Let h(g) = 0. Calculate g.
0, 1, 3
Let y(g) be the first derivative of 3/4*g**4 + 4/3*g**3 + 13 - 1/5*g**5 + 0*g**2 + 0*g. Factor y(w).
-w**2*(w - 4)*(w + 1)
Let o(f) be the third derivative of 5*f**2 - 16/3*f**3 + 5/6*f**4 - 1/30*f**5 + 0*f + 3. Factor o(h).
-2*(h - 8)*(h - 2)
Determine j, given that -20*j + 61/3 - 1/3*j**2 = 0.
-61, 1
Let s be ((-1)/(-9))/((-158)/(-237)). Let f(k) be the first derivative of 23 + 2*k + s*k**3 - k**2. Let f(i) = 0. What is i?
2
Let j(q) be the first derivative of q**6/675 + 13*q**5/900 - q**4/15 - 11*q**3/3 + 3*q - 8. Let l(d) be the third derivative of j(d). Solve l(h) = 0 for h.
-4, 3/4
Let y be (-49)/35 - (1 - (-896)/(-315)). Let l(x) be the first derivative of -12 - 8/9*x - 2/27*x**3 - y*x**2. Factor l(b).
-2*(b + 2)**2/9
Let y(m) be the second derivative of m**7/12600 + m**6/1800 - m**4/4 + m**2 - 11*m. Let b(j) be the third derivative of y(j). What is v in b(v) = 0?
-2, 0
Let o(s) be the first derivative of -s**7/420 - s**6/36 - s**5/15 - 53*s**3/3 + 25. Let z(j) be the third derivative of o(j). What is y in z(y) = 0?
-4, -1, 0
Suppose -4*j = 2*j - 150. Let a be -2*(j/(-10) - -1). Factor -7*u - 8*u**2 - 8*u + a*u**2.
-5*u*(u + 3)
Let i be -310 - -317 - (2/(-8) - (-135)/20). Suppose 0 - 9/4*v**2 - i*v - v**3 = 0. What is v?
-2, -1/4, 0
Determine b, given that -54*b**2 + 88 + 112/5*b - 2/5*b**4 + 56/5*b**3 = 0.
-1, 2, 5, 22
Let u(y) = 10*y**2 + 135*y + 170. Let a(x) = -11*x**2 - 128*x - 171. Let h(g) = -5*a(g) - 6*u(g). Find i such that h(i) = 0.
-33, -1
Let u(w) = 4*w**2 - 5*w - 35. Let k(r) = r**2 - r. Let s(q) = -3*k(q) + u(q). Let m be s(11). Determine v so that -m - 40 - 45*v**2 - 135*v - 5*v**3 - 31 = 0.
-3
Let u(d) be the second derivative of d**4/66 + 17*d**3/3 - 4858*d. Find c such that u(c) = 0.
-187, 0
Determine p so that -337/6*p + 1/6*p**2 + 56 = 0.
1, 336
Let u(i) be the first derivative of 1/2*i**4 - 70/3*i**3 + 288*i**2 + 648*i - 199. Factor u(s).
2*(s - 18)**2*(s + 1)
Let x be (-24 - -20) + (0 - (-3362)/840). Let k(g) be the third derivative of 0*g - 1/14*g**3 + 14*g**2 + 0 + x*g**5 + 1/84*g**4. Find i such that k(i) = 0.
-3, 1
Let s(q) be the third derivative of 0*q + 15*q**2 - 1/90*q**5 - 1/9*q**4 + 5/9*q**3 + 0. Factor s(o).
-2*(o - 1)*(o + 5)/3
Let w = -2977 + 2981. Let j(v) be the third derivative of 0 - 49/15*v**3 - 1/150*v**5 + 0*v + v**2 + 7/30*v**w. Factor j(z).
-2*(z - 7)**2/5
Let h(t) = 308 + 7*t - 161 - 149 - t**2. Let b(x) = -7*x**2 + 42*x - 13. Let r(y) = 6*b(y) - 39*h(y). Solve r(a) = 0 for a.
-7, 0
Suppose -80*i = 6*i - 172. Factor 0*n - 16/5*n**3 + 0 - 32/5*n**i - 2/5*n**4.
-2*n**2*(n + 4)**2/5
Suppose 20*l**2 + 720/7 - 12/7*l**4 - 176/7*l**3 + 1248/7*l = 0. What is l?
-15, -2, -2/3, 3
Let x(i) be the third derivative of i**5/360 + 3*i**4/8 - 28*i**3/9 + 423*i**2. Factor x(a).
(a - 2)*(a + 56)/6
Let y(r) be the first derivative of 6*r**2 - 10*r**3 + 6*r**3 + 3*r**3 + 15*r - 93. Factor y(k).
-3*(k - 5)*(k + 1)
Let c be (2 - -1)*((-832)/60 - -14). Let n(z) be the second derivative of 1/30*z**4 + 3*z + 0 + c*z**3 + 9/5*z**2. Let n(o) = 0. Calculate o.
-3
Let w(g) be the first derivative of 4*g**5/35 - g**4 + 16*g**3/7 + 8*g**2/7 - 64*g/7 - 1121. Factor w(x).
4*(x - 4)*(x - 2)**2*(x + 1)/7
Suppose 599*g - 128 = 583*g. Let c(j) be the first derivative of 6 + 2*j**2 + g*j - 4/3*j**3. Factor c(k).
-4*(k - 2)*(k + 1)
Let x = -1551625/2 + 775815. Factor x*z**2 + 4*z + 1/2*z**3 + 2.
(z + 1)*(z + 2)**2/2
Suppose -63*k + 60*k = -4*z + 36, 5*z = -k + 26. Let o(x) be the second derivative of 8*x**3 - 72*x**2 + z*x + 0 - 1/3*x**4. Factor o(i).
-4*(i - 6)**2
Let 100/13*b**2 + 2/13*b**3 + 1106/13*b + 3528/13 = 0. What is b?
-36, -7
Suppose -43/3 - 1/6*o**2 - 29/2*o = 0. Calculate o.
-86, -1
Suppose -3*c + 4*c - 2 = 0. Let o be (-2532)/(-26164) - 78/(-155). Factor 6/5*r**4 - o*r - 6/5*r**c + 0 + 3/5*r**5 + 0*r**3.
3*r*(r - 1)*(r + 1)**3/5
Suppose -427 = 2*i - 433. Suppose -i*m = 5*p - 25, -4*p + 28 = -m + 5*m. Determine a so that 2/5*a**2 + 0 + 1/5*a**m + 0*a + 4/5*a**4 + a**3 = 0.
-2, -1, 0
Let r(d) be the third derivative of d**5/15 - 2*d**4/3 - 10*d**3/3 + 76*d**2 + 3. Determine i, given that r(i) = 0.
-1, 5
Let m(o) be the first derivative of 0*o**2 + 1/18*o**4 - 5/9*o**3 + 9 + 21*o. Let d(y) be the first derivative of m(y). Factor d(i).
2*i*(i - 5)/3
Let u(r) be the second derivative of -3*r + 5*r**2 - 19 + 15/4*r**4 - 5/4*r**5 - 35/6*r**3 + 1/6*r**6. Find f such that u(f) = 0.
1, 2
Let c = 1517 + -30339/20. Let h(k) be the third derivative of -20*k**2 + 0 - 1/40*k**6 + 0*k**4 + 0*k + 0*k**3 - c*k**5. Factor h(y).
-3*y**2*(y + 1)
Let r be ((-4)/10 - 1/((-1540)/10836)) + 15/(-3). Factor 2/11*b**2 + r + 12/11*b.
2*(b + 3)**2/11
Let w be 11/(-55)*-10*(-25)/(-10). Let v(p) be the third derivative of -1/32*p**4 + 1/480*p**w + 16*p**2 + 0*p + 1/6*p**3 + 0. Factor v(i).
(i - 4)*(i - 2)/8
Let h(z) = z**3 - 3*z**2 + 3*z - 5. Let k be h(6). Factor -34*o + k + 83 - 169 - o**2.
-(o - 1)*(o + 35)
Let s(d) = 32*d + 322. Let o be s(-10). What is c in 3/2*c**2 + o*c - 2*c**3 - 2 + 1/2*c**4 = 0?
-1, 1, 2
Suppose -20*z + 24*z = 0. Factor -h**2 + z*h**2 + 3*h**2 + 0*h**2 + 47*h + 23.
(h + 23)*(2*h + 1)
Let l be 55/220 - 0/5. Find b such that l*b**2 - 49/4 + 12*b = 0.
-49, 1
Let f(p) = -9*p**3 - 61*p**2 - 96*p - 52. Let b(z) = 3*z**3 + 20*z**2 + 32*z + 18. Let u(c) = -8*b(c) - 3*f(c). Factor u(k).
(k + 1)*(k + 6)*(3*k + 2)
Let k(y) = 14*y**2 + 32*y - 34. Let r be k(1). Let -25/2*j**3 - 62*j - r - 85*j**2 = 0. What is j?
-6, -2/5
Suppose 0 = s - 9 + 7. Let q = 39 + -31. Factor 5*j**s - 8 + 14*j - 2*j - j**2 - q.
4*(j - 1)*(j + 4)
Let m(n) be the first derivative of n**3/9 + 67*n**2/3 - 137*n - 5300. Suppose m(u) = 0. Calculate u.
-137, 3
Let v(n) be the first derivative of -3*n**5/140 + 11*n**4/14 - 121*n**3/14 + 186*n - 279. Let z(j) be the first derivative of v(j). Let z(t) = 0. Calculate t.
0, 11
Let f(w) = -14*w**3 - 1202*w**2 + 345*w - 3. Let m(p) = -56*p**3 - 4804*p**2 + 1379*p - 13. Let g(x) = -26*f(x) + 6*m(x). Factor g(r).
4*r*(r + 87)*(7*r - 2)
Let w(r) be the third derivative of 1/3*r**3 + 2*r + 0 - 3*r**2 + 1/3*r**4 + 1/10*r**5. Determine l, given that w(l) = 0.
-1, -1/3
Factor 53/3*w**4 + 152/3*w**2 - 7/3*w**5 - 48*w**3 - 16 - 16/3*w.
-(w - 2)**4*(7*w + 3)/3
Let k(v) = v**4 - 71*v**3 + 111*v**2 - 25*v - 32. Let l(y) = 145*y**3 - 223*y**2 + 51*y + 63. Let d(w) = -9*k(w) - 4*l(w). Suppose d(x) = 0. What is x?
-4/9, 1, 3
Let u be (-14)/1575*5/(-4). Let a(p) be the third derivative of -1/1890*p**7 + 0*p + 0 - 1/216*p**6 + 4/27*p**3 + 6*p**2 - u*p**5 + 1/54*p**4. Factor a(g).
-(g - 1)*(g + 2)**3/9
Let z = -137 - -162. Suppose -z*r + 20 = -21*r. Find i such that 7*i**5 - 12*i**2 + 10*i**4 + r*i**3 + 2*i**2 - 12*i**5 = 0.
-1, 0, 1, 2
Let f be (-448)/(-14) - (-837)/(-30). Factor -11/5*g**2 - 2 - 1/10*g**3 - f*g.
-(g + 1)**2*(g + 20)/10
Let z(w) be the third derivative of -w**6/420 - 47*w**5/210 + 166*w**4/21 + 1508*w**3/21 - 9031*w**2. Factor z(s).
-2*(s - 13)*(s + 2)*(s + 58)/7
Solve -26 + 1/6*w**2 + 1/6*w = 0 for w.
-13, 12
Let x(c) be the third derivative of -139*c**5/150 + 277*c**4/30 + 8*c**3/15 - 78*c**2 + 14. Factor x(s).
-2*(s - 4)*(139*s + 2)/5
Suppose 5*f + 5*j = -5, 3*f - 17 = 2*f + 5*j. Let x be 2*(-3)/14 - 1080/(-1120)*2. Determine h, given that -2 + 1/2*h**4 + 2*h**3 - f*h + x*h**2 = 0.
-2, -1, 1
Let l(d) = -15*d**4 + 208*d**3 - 141*d**2 - 48*d + 1. Let a(b) = b**4 + 4*b**3 - b**2 + 1. Let y(s) = a(s) - l(s). Suppose y(m) = 0. What is m?
-1/4, 0, 1, 12
Let u(n) = -n**3 + 97*n**2 - 171*n - 10430. Let m be u(94). Determine o so that 2 - m*o + o**3 + 3/2*o**2 - 1/2*o**4 = 0.
-2, 1, 2
Find s, given that -220*s**2 + 24*s + 369*s + 711*s + 445*s**2 - 228*s**2 = 0.
0, 368
Let w = -205 + 219. Factor -8 - 29*o + 3*o - 2*o**4 - w*o