2)
Let w(n) be the second derivative of -n**10/302400 + n**8/33600 - n**6/7200 + 13*n**4/4 - 40*n. Let o(v) be the third derivative of w(v). Factor o(u).
-u*(u - 1)**2*(u + 1)**2/10
Suppose -7 = 16*a - 119. Factor 30*d - 45 - 9*d**2 + 11*d**2 - a*d**2 + 0*d**2.
-5*(d - 3)**2
Let l(s) be the first derivative of s**2/2 - 5*s + 3. Let d be l(10). Suppose -b**3 - 7 + d + 2 = 0. Calculate b.
0
Let y(k) be the second derivative of -k**4/72 - 17*k**3/36 - 4*k**2/3 - 2*k - 8. Suppose y(u) = 0. What is u?
-16, -1
Suppose -3*q + 4*q = 20. Suppose x = 4*i - 27, 0*i = 3*i + 3*x - 39. Factor i*w + 4*w**3 + 20 - q - 12*w**2.
4*w*(w - 2)*(w - 1)
Let m(o) = -2*o**2 - o + 8. Let n(k) = 22*k**3 - 142*k**2 + 94*k + 168. Let g(p) = 36*m(p) - 2*n(p). Factor g(h).
-4*(h - 3)*(h - 2)*(11*h + 2)
Let d(b) = -37*b**2 + 478*b + 39. Let r be d(13). Determine p so that 6/5*p - 3/5*p**2 + r = 0.
0, 2
Let o = 1378 + -5509/4. Factor -1/4*i**2 - o*i - 1/2.
-(i + 1)*(i + 2)/4
Let p(j) be the third derivative of 0 + 0*j**4 + 0*j**5 + 10*j**2 + 0*j + 0*j**6 + 0*j**3 + 1/490*j**7 - 1/784*j**8. Solve p(m) = 0.
0, 1
Let x(z) be the second derivative of -6*z - 1/30*z**5 + 0*z**2 - 2/9*z**3 + 0 - 1/6*z**4. Factor x(j).
-2*j*(j + 1)*(j + 2)/3
Suppose 10 = -9*q + 8*q. Let s be 6/4 - 5/q. Factor -4/5*i**3 - 2/5 + 2/5*i**s + 4/5*i.
-2*(i - 1)*(i + 1)*(2*i - 1)/5
Let a(w) = w**3 + 8*w**2 + 8*w - 3. Let g be a(-6). Let h be 25/7 + (-60)/105. Factor -g*l**3 + h*l**4 - 4*l**4 + 4*l**4 + 18*l**3.
3*l**3*(l - 1)
Factor 80/9 + 4/3*q - 2/9*q**2.
-2*(q - 10)*(q + 4)/9
Let g(o) be the second derivative of 2*o**7/105 + 149*o**6/150 + 1477*o**5/100 + 138*o**4/5 + 54*o**3/5 - 2*o - 5. Find f, given that g(f) = 0.
-18, -1, -1/4, 0
Let l(y) be the third derivative of -y**7/11340 - y**6/1080 - y**5/270 - y**4/6 - 14*y**2. Let u(j) be the second derivative of l(j). Factor u(s).
-2*(s + 1)*(s + 2)/9
Let i(m) be the second derivative of -m**8/13440 - m**7/1680 - m**6/480 - m**5/240 - m**4/4 - 10*m. Let x(j) be the third derivative of i(j). Factor x(w).
-(w + 1)**3/2
Let v(z) be the first derivative of z**5/10 + 33*z**4/4 + 949*z**3/6 - 1155*z**2 + 2450*z - 80. Solve v(m) = 0.
-35, 2
Factor 592/5*p + 21904/5 + 4/5*p**2.
4*(p + 74)**2/5
Let k(m) be the second derivative of m**8/1680 - 11*m**4/12 + 22*m. Let l(x) be the third derivative of k(x). Find t, given that l(t) = 0.
0
Let s(u) be the third derivative of 1/24*u**4 - 2/9*u**3 + 0 + 1/180*u**5 + 12*u**2 + 0*u. Solve s(k) = 0.
-4, 1
Let y(g) be the first derivative of 52 - g**2 + 1/6*g**3 + 3/2*g. Let y(j) = 0. What is j?
1, 3
Let d(j) be the third derivative of -j**6/60 + j**5/12 - j**4/12 - 575*j**2. Find h such that d(h) = 0.
0, 1/2, 2
Let v(b) be the first derivative of b**4 - 8*b**3/3 - 6*b**2 + 61. Let v(q) = 0. Calculate q.
-1, 0, 3
Let g(j) be the first derivative of 5*j**6/14 - 81*j**5/35 - 15*j**4/7 + 12*j**3/7 - 63. Let g(x) = 0. What is x?
-1, 0, 2/5, 6
Suppose -4*o + 8 = -6*o. Let w(f) = f**2 + f + 3. Let d be w(o). Factor -2*l**3 - 4*l**3 + d*l**4 - 14*l**3 + 5*l**2.
5*l**2*(l - 1)*(3*l - 1)
Let c(s) = s**3 + 8*s**2 + 16*s + 9. Let x(i) = i**3 + 8*i**2 + 17*i + 10. Let g(z) = 4*c(z) - 3*x(z). Let g(h) = 0. What is h?
-6, -1
Let p(h) = 20*h**2 - 12*h - 8. Let q = -8 + 13. Let z = -794 + 802. Let m(u) = -13*u**2 + 8*u + 5. Let r(o) = q*p(o) + z*m(o). Determine i so that r(i) = 0.
0, 1
Let t(o) be the second derivative of -o**7/168 + 3*o**6/40 - 3*o**5/16 - 25*o**4/48 + 7*o + 3. Solve t(f) = 0 for f.
-1, 0, 5
Let w be (65/15 + -4)*3. Let f be ((-3)/(-2) - w)*(-90 + 90). Determine x so that 0*x - 2/7*x**4 + 2/7*x**3 - 2/7*x**5 + 2/7*x**2 + f = 0.
-1, 0, 1
Let n(j) = 5*j**2 + 37*j + 36. Let f(q) = q**2 - q. Let x(z) = 2*f(z) - n(z). Suppose x(p) = 0. What is p?
-12, -1
Suppose -10*s + 6 = -12*s. Let r be (-2)/(-5) + s/(-30). Factor 0 + 1/2*m**3 + r*m - m**2.
m*(m - 1)**2/2
Let b(y) be the second derivative of -y**7/5040 + y**6/360 - y**5/60 + 19*y**4/12 + 21*y. Let c(k) be the third derivative of b(k). Let c(o) = 0. What is o?
2
Let n(m) be the second derivative of -m**4/4 + 13*m**3/2 - 82*m. Factor n(p).
-3*p*(p - 13)
Let p(f) = f. Let l = 19 - 18. Suppose -d + l = -0*d. Let n(a) = 10*a**2 + 9*a. Let s(b) = d*n(b) - 4*p(b). Let s(i) = 0. What is i?
-1/2, 0
Let a(o) = o**3 + 3*o**2 + 5. Let b be a(-3). Solve -2*z**4 - 8*z**3 + 5*z**2 + b*z**2 - 8*z**2 + 4*z + 2*z**5 + 2*z**3 = 0.
-1, 0, 1, 2
Let j(w) be the second derivative of -w**6/15 + 27*w**5/10 - 63*w**4/2 + 13*w**3/3 + 1014*w**2 + 335*w. Let j(l) = 0. What is l?
-2, 3, 13
Determine m so that -3/4*m**3 + 9 + 6*m - 3/4*m**2 = 0.
-2, 3
Let n(j) = -j**2 - 9*j + 4. Let c be n(-8). Suppose -u + 8 = 2*b - 4*u, -4*b = -4*u - c. Find o such that -5*o**2 + 6*o**2 + 0 - b = 0.
-1, 1
Let b(x) be the first derivative of -x**3/3 + 5*x**2 - 7*x + 2. Let v be b(9). Let 14*z**2 - 8*z**2 - 48 + 33*z - 9*z - 9*z**v = 0. What is z?
4
Let p = -123 - -125. Let c(a) be the second derivative of 0 - 12*a + 1/110*a**5 + 5/66*a**4 + 8/33*a**3 + 4/11*a**p. Determine y, given that c(y) = 0.
-2, -1
Let h = -194 + 972/5. Solve h*c**2 - 6/5*c + 4/5 = 0 for c.
1, 2
Let u(y) be the third derivative of -y**5/450 + y**4/4 + 94*y**3/45 - 427*y**2. Find n, given that u(n) = 0.
-2, 47
Suppose 2*c - 7*c + 5 = 0. Let i be (((-39)/3)/(-1))/c. What is o in 7*o**3 - 4*o**2 + 15*o**5 - 28*o**3 + 6*o + i*o**2 - 9*o**4 = 0?
-1, -2/5, 0, 1
Let q(n) be the second derivative of 0 + 1/4*n**4 + 25*n + 1/40*n**5 - 1/12*n**3 - 3/2*n**2. Factor q(l).
(l - 1)*(l + 1)*(l + 6)/2
Let x be (533/26 + -19)*(32/6)/4. Let 72/17*y**3 + 5832/17*y + 2/17*y**4 + 13122/17 + 972/17*y**x = 0. What is y?
-9
Let d(n) = n**2 + 31*n + 241. Let w be d(-14). Factor 0 + 0*l**2 + 0*l + 2/3*l**4 - 1/9*l**5 - l**w.
-l**3*(l - 3)**2/9
Let n = 219/5 + -216/5. Let o(k) be the second derivative of 0 - 11/10*k**3 + 3/5*k**2 + 3*k + n*k**4 + 27/100*k**5. What is z in o(z) = 0?
-2, 1/3
Suppose -4*q - 1 = -9. Suppose -g = q*g - 15. Factor g*n**2 - 15*n**2 + 5*n**2 + 5*n.
-5*n*(n - 1)
Solve 3*y**4 + 140 - 50*y**3 + 23*y - 8*y**4 - 105*y**2 + y - 4*y = 0 for y.
-7, -2, 1
Let x(i) = 5*i - 24. Let f be x(6). Let z(g) be the first derivative of 0*g**4 - f + 2*g**3 + 2*g**2 - 2/5*g**5 + 0*g. Determine q so that z(q) = 0.
-1, 0, 2
Suppose -3*z + 8 = -4. Let i(s) = s**3 + s**2 + s - 1. Let v(o) = -2*o**3 - o**2 - 10*o + 7. Let b(y) = z*v(y) + 12*i(y). Factor b(u).
4*(u - 1)**2*(u + 4)
Let m(h) = 3*h**2 + 7*h + 4. Let u(p) = -3*p**2 - 3*p + 27. Let a be u(4). Let d(o) = 24*o**2 + 57*o + 33. Let g(r) = a*m(r) + 4*d(r). Factor g(q).
-3*q*(q + 1)
Let s(q) = q**2 - 4*q + 39. Let l be s(5). Let x be (0 - 2) + (-2 - l/(-10)). What is c in 0*c + 8/15 - 2/15*c**3 - x*c**2 = 0?
-2, 1
Let u be (2 - 3 - -4) + (3 - 3). Factor -12 - 7*w**2 - 5*w**5 - 6*w**3 + 25*w**4 - 3*w**2 + 35*w - 24*w**u - 3.
-5*(w - 3)*(w - 1)**3*(w + 1)
Let u(v) be the first derivative of -v**7/105 - v**6/75 + v**5/50 + v**4/30 - v + 18. Let t(o) be the first derivative of u(o). Factor t(g).
-2*g**2*(g - 1)*(g + 1)**2/5
Let b = -5062 + 25314/5. Factor -b*a - 6/5 + 2/5*a**2.
2*(a - 3)*(a + 1)/5
Let a(f) be the third derivative of f**6/120 - 19*f**5/60 - 5*f**4/6 + 12*f**2. Let x be a(20). Factor 3/5*w**2 + x - 9/5*w.
3*w*(w - 3)/5
Let v(j) be the first derivative of j**7/1050 - j**6/225 + j**5/150 + 5*j**3 + 14. Let s(q) be the third derivative of v(q). Factor s(r).
4*r*(r - 1)**2/5
Factor 2*f**2 + 8/5*f - 6/5*f**3 - 8/5.
-2*(f - 2)*(f + 1)*(3*f - 2)/5
Let o(f) = 10*f**3 + 46*f**2 - 49*f. Let k(h) = -3*h**3 - 15*h**2 + 16*h. Let g(n) = -21*k(n) - 6*o(n). Solve g(t) = 0.
-14, 0, 1
Let x(m) be the third derivative of 0 + 0*m**3 - 2/45*m**5 + 1/180*m**6 + 1/12*m**4 + 6*m**2 + 0*m. Let x(n) = 0. What is n?
0, 1, 3
Determine r so that -11*r - 80*r**3 - 78*r**4 - 85*r**3 + 3*r - 9*r**5 - 28*r - 132*r**2 = 0.
-6, -1, -2/3, 0
Let b(d) = -1 + 5 + 2*d**2 + 7*d - 3*d**2. Let u be b(7). Find g such that -7*g**4 - 3*g**2 - 6*g**3 + 7*g**2 - 3*g**u = 0.
-1, 0, 2/5
Let c = 53/150 - 1/3. Let r(g) be the third derivative of -1/40*g**4 + 0 - 1/5*g**3 + 0*g - 2*g**2 + c*g**5 + 1/200*g**6. Factor r(w).
3*(w - 1)*(w + 1)*(w + 2)/5
Factor 37 + 10*u**2 - 223*u - 11*u**2 + 297*u + 38.
-(u - 75)*(u + 1)
Let m(j) be the third derivative of -j**8/1