)**2
Factor 2/3*l**2 - 2/3 - 1/3*l + 1/3*l**3.
(l - 1)*(l + 1)*(l + 2)/3
Let r(z) be the second derivative of z**8/2240 + z**7/84 - 13*z**6/60 + 7*z**5/5 + 65*z**4/4 + 2*z - 21. Let d(x) be the third derivative of r(x). Factor d(b).
3*(b - 2)**2*(b + 14)
Let a(k) be the third derivative of -k**6/48 - 83*k**5/120 - 89*k**4/16 - 63*k**3/4 + 3003*k**2. Factor a(j).
-(j + 1)*(j + 3)*(5*j + 63)/2
Let 1876*l**3 + 2190*l - 1038*l**3 - 833*l**3 + 2195*l**2 = 0. What is l?
-438, -1, 0
Let -989*v + 494*v + v**3 + 7 + 494*v - 7*v**2 = 0. What is v?
-1, 1, 7
Let u(z) = -9*z - 710*z**3 + 701*z**3 - z**2 - z**4 + 0*z + 8. Let b(q) = -3*q**4 - 25*q**3 - 3*q**2 - 26*q + 23. Let i(o) = -6*b(o) + 17*u(o). Factor i(v).
(v - 2)*(v - 1)**2*(v + 1)
Let n(w) be the first derivative of w**4/2 + 82*w**3 + 3843*w**2 + 7442*w - 1302. Let n(u) = 0. Calculate u.
-61, -1
Let i(v) be the third derivative of v**6/30 - 7*v**5/15 + 8*v**4/3 - 8*v**3 - 5*v**2 - 13. Factor i(k).
4*(k - 3)*(k - 2)**2
Suppose n = 2*x, 5*x + 1 = 36*n - 33*n. Let y(i) be the first derivative of 8/3*i**3 + n*i**2 + i**4 + 0*i + 12. Find t, given that y(t) = 0.
-1, 0
Determine t, given that 1558/7*t + 514/7*t**3 - 222*t**2 - 520/7 + 2/7*t**4 = 0.
-260, 1
Suppose -4*q + 8 = -3*p, -p + 5*q = 16 + 5. Suppose 0 = -5*i + 889 - 179. Factor -5*y**2 - y - y**p + 146*y**3 + 3*y - i*y**3.
-y*(y - 2)*(y - 1)**2
Factor 0 - 25*j**2 + 35/2*j**3 - 5/2*j**4 + 0*j.
-5*j**2*(j - 5)*(j - 2)/2
Let l = 5305 - 5305. Let v(z) be the first derivative of 0*z**3 - 11 + 0*z - 3/4*z**4 + l*z**2. Determine n so that v(n) = 0.
0
Let l(n) = 80*n**2 + 418*n - 633. Let x(w) = -20*w**2 - 108*w + 158. Let s(v) = -2*l(v) - 9*x(v). Let s(b) = 0. Calculate b.
-39/5, 1
Let y be -3 - -10 - 2/6*(-138)/(-23). Let k(b) be the first derivative of 9/8*b**6 - 1/2*b - 41/6*b**3 + 21/8*b**2 + 7 - 27/5*b**y + 9*b**4. Factor k(p).
(p - 2)*(p - 1)*(3*p - 1)**3/4
Let z(m) be the second derivative of m**5/8 + 65*m**4/8 - 50*m**3/3 - 243*m + 8. Factor z(k).
5*k*(k - 1)*(k + 40)/2
Factor -21/4*l**3 - 47/4*l**2 - 3 + 1/4*l**5 - 10*l - 1/4*l**4.
(l - 6)*(l + 1)**3*(l + 2)/4
Let t = 9198 - 5836. Let p = t + -57132/17. Factor 70/17*a + 2/17*a**3 - 50/17 - p*a**2.
2*(a - 5)**2*(a - 1)/17
Suppose 5*k - 2*j = 4, -4 = -13*k + 17*k - 4*j. Factor 0 - 2/5*d**3 - 4/5*d**k + 0*d.
-2*d**2*(d + 2)/5
Determine l so that -1147*l - 155*l + 579*l - 1194*l + 852*l**2 - 1155*l - 87*l**3 + 3*l**4 + 2304 = 0.
1, 8, 12
Let p(u) be the third derivative of -u**6/40 - 37*u**5/20 - 21*u**4/2 + 306*u**3 + 937*u**2. Find i such that p(i) = 0.
-34, -6, 3
Let q(a) be the first derivative of -a**6/20 - 3*a**5/40 + 5*a**4/8 - 3*a**3/4 + 49*a - 64. Let s(t) be the first derivative of q(t). Factor s(b).
-3*b*(b - 1)**2*(b + 3)/2
Let q = 11/1608 - -13925/1608. Factor -q*g + 0 - 2/3*g**3 - 28/3*g**2.
-2*g*(g + 1)*(g + 13)/3
Suppose -q + 170 = 16*q. Let l be ((-16)/q + 0)/((-432)/720). Factor -4/3*v - 4/3 + l*v**2.
4*(v - 1)*(2*v + 1)/3
Let k(b) = -4*b**2 + 7*b + 5. Let h be k(5). Let p = -57 - h. Factor -10*o**3 - 27*o**p - 5*o - 3*o + 36*o**2 + 9*o**3.
-4*o*(o - 1)*(7*o - 2)
Let f(u) = -3*u**4 - 11*u**3 - 39*u**2 + 18*u - 7. Let a(k) = k**4 + 4*k**3 + 11*k**2 - 6*k + 2. Let h(q) = -21*a(q) - 6*f(q). Factor h(i).
-3*i*(i - 1)*(i + 1)*(i + 6)
Let c be (-125)/20*(-2 + 1 + -3). Suppose p + 3*p = 3*b + 27, 5*b = -c. Factor 860*x**2 + x**3 - 858*x**2 + 2*x**4 + 3*x**p.
2*x**2*(x + 1)**2
Determine s so that 32*s + 17*s - 80 - 3*s**2 - 293 + 14*s + 49 = 0.
9, 12
Determine k, given that 33/4 + 15/2*k - 3/4*k**2 = 0.
-1, 11
Let v(p) = 11*p**3 - 3*p**2 - 3*p - 16. Let s be v(4). Let m = s - 1255/2. Factor -m*w**3 + 1/4*w**4 + 0*w + 1/4*w**5 + 0 + 0*w**2.
w**3*(w - 1)*(w + 2)/4
Let z = 3503 + -3498. Let j(s) be the first derivative of -1/9*s**4 + 0*s + 0*s**3 + 0*s**2 - 2/45*s**z + 6. Factor j(k).
-2*k**3*(k + 2)/9
Let q(u) be the second derivative of u**6/15 + 8*u**5/5 + 9*u**4 - 16*u**3/3 - 55*u**2 + 6*u + 1352. Let q(g) = 0. What is g?
-11, -5, -1, 1
Suppose 33*h + 15*h - 192 = 0. Factor 35*v**3 - 478*v + h + 4*v**2 + 434*v + 2*v**2 + 11*v**4 - 12.
(v - 1)*(v + 2)**2*(11*v + 2)
Let b = -41987 + 210289/5. Let -10443/5 - 3/5*s**2 - b*s = 0. What is s?
-59
Factor -7/3*v**3 - 1/6*v**4 - 50/3 - 23/2*v**2 - 70/3*v.
-(v + 2)**2*(v + 5)**2/6
Find f, given that -6*f**3 + 14*f**3 - 2*f**5 + 34 - 16*f**4 - 69*f - 14*f + f**5 + 46*f**2 + 12*f**3 = 0.
-17, -2, 1
Let q = 68 - 59. Suppose -36*o + 232 = 52. Solve 33/2*a**4 + 3/2*a + q*a**2 - 21*a**3 - 3/2 - 9/2*a**o = 0.
-1/3, 1
Let 1499 + 9*k**3 - 1254 - 336*k - 981 - 7*k**3 - 30*k**2 = 0. What is k?
-4, 23
Let m(o) be the first derivative of -4*o**3/3 + 114*o**2 - 1040*o + 3287. Let m(y) = 0. What is y?
5, 52
Let z(k) be the third derivative of k**8/26880 + k**7/2016 + k**6/480 - 49*k**4/12 - 2*k**2 + 11*k. Let n(o) be the second derivative of z(o). Factor n(u).
u*(u + 2)*(u + 3)/4
Let p(a) be the first derivative of 1/6*a**3 + 1/6*a**4 + 1/20*a**5 + 19 + 2*a + 0*a**2. Let l(j) be the first derivative of p(j). Determine b so that l(b) = 0.
-1, 0
Let d be 12/9 + 20/12. Suppose -17*r + 35*r**d - 90 + 5*r**4 + 40*r**2 + 25*r**2 - 13*r + 15*r = 0. What is r?
-3, -2, 1
Let r(g) be the third derivative of 0*g**7 + 0*g**3 + 0*g**4 + 0*g**5 + 0*g + 0 + 1/2184*g**8 - 1/780*g**6 - 19*g**2. Find q, given that r(q) = 0.
-1, 0, 1
Let m(v) be the second derivative of v**7/42 + 487*v**6/15 + 316873*v**5/20 + 2886921*v**4 + 11389896*v**3 + 17006112*v**2 + 541*v - 4. Solve m(l) = 0.
-324, -1
Suppose 0 = -k - 2*u + 11 - 3, -4*k - 16 = -4*u. Suppose k - 2 = -g. Factor 2/3*n**g + 0 + 1/3*n**3 - n.
n*(n - 1)*(n + 3)/3
Let f(c) = 95*c + 1921. Let a be f(-20). Let u(t) be the first derivative of 4/3*t**3 - a - t**4 - 4/5*t**5 + 0*t**2 + 2/3*t**6 + 0*t. Factor u(b).
4*b**2*(b - 1)**2*(b + 1)
Let 77/3*s**2 + 0 - 59/3*s**3 - 13/3*s - 5/3*s**4 = 0. What is s?
-13, 0, 1/5, 1
Suppose 2*y = 2*b - 0*b - 2, -3*b = 2*y - 18. Factor 203*h - 4*h**y - 49 - 41 - 30 - 31*h - 48*h**2.
-4*(h - 2)*(h - 1)*(h + 15)
Factor 66150 + 2/3*r**2 + 420*r.
2*(r + 315)**2/3
Let j(w) be the first derivative of -5*w**3/3 - 6015*w**2/2 + 12410. Factor j(s).
-5*s*(s + 1203)
Let u(c) = 3*c**2 - 124*c - 73. Let w be u(42). Let b be (0 - (-5 + w)) + (-78)/(-10). Let -b*v**2 + 3/5*v**4 - 3/5*v + 6/5 + 3/5*v**3 = 0. What is v?
-2, -1, 1
Let o be 19*36/21 + (-90)/(-210). Factor -o + 4*q**2 + 10*q + 18*q + 57.
4*(q + 1)*(q + 6)
Let l(v) be the third derivative of 0*v**3 + 0*v + 0 - 14*v**2 - 1/60*v**5 - 1/8*v**4. Factor l(z).
-z*(z + 3)
Let u = 78/19 + -352/95. Let c = 1/35 + u. Factor 0 + 0*w + 9/7*w**2 + c*w**3.
3*w**2*(w + 3)/7
Let y(b) be the third derivative of b**8/6720 + b**7/420 - b**6/180 - b**5/5 + 91*b**4/24 - 16*b**2. Let p(q) be the second derivative of y(q). Factor p(a).
(a - 2)*(a + 2)*(a + 6)
Let r(w) = 0 - 1 + w**3 + 2*w**2 + 1 - 4 - 5*w. Let n be r(-3). Factor -5*c + 2*c**2 - c + c**n - 5*c**2.
-2*c*(c + 3)
Let x(d) = 2*d**2 - 2718*d + 922058. Let y(a) = a + 12. Let b(q) = 2*x(q) + 4*y(q). Factor b(s).
4*(s - 679)**2
Let d be (6 - (0 - -5)) + 3. Factor -119*j**5 + 131*j**5 - 7*j**3 + 56*j**4 + d*j**3 - 17*j**3.
4*j**3*(j + 5)*(3*j - 1)
Let v(z) be the second derivative of -z**4/66 - 10*z**3/33 + 144*z**2/11 - 2345*z. Factor v(x).
-2*(x - 8)*(x + 18)/11
Let x be 11811/60 + (-8)/(-32). Let i = x - 197. Solve 1/5*w - 1/10*w**5 - 3/10*w**2 + 3/10*w**4 - i*w**3 + 0 = 0 for w.
-1, 0, 1, 2
Let o = 4913 + -1916069/390. Let d(q) be the third derivative of o*q**5 + 0*q - 8/39*q**3 + 1/78*q**4 - 23*q**2 + 0. What is l in d(l) = 0?
-4, 2
Let f(x) be the second derivative of x**7/315 - 14*x**6/45 + 1459*x**5/150 - 1177*x**4/9 + 5540*x**3/9 + 8200*x**2/3 + 6576*x. Find m, given that f(m) = 0.
-1, 10, 41
Let h(i) be the first derivative of -21*i**4/4 + 47*i**3 + 651*i**2 + 360*i + 386. Solve h(o) = 0 for o.
-5, -2/7, 12
Let c be (-2 + 0 + 3)*(-552318)/1560. Let n = c - -1864/5. Suppose -15/2*v - 3/4*v**2 - n = 0. Calculate v.
-5
Suppose 0 = 3872*z - 3904*z. Let p(c) be the third derivative of z*c**4 + 19*c**2 + 0*c**5 - 1/360*c**6 + 0 + 0*c + 0*c**3. Solve p(d) = 0 for d.
0
Let i(m) be the first derivative of 1/600*m**6 + 0*m - 12*m**3 + 0*m**2 + 3/40*m**4 - 1/50*m**5 + 10. Let p(q) be the third derivative of i(q). So