2). Let u(q) be the second derivative of 0 + 1/50*q**5 - f*q - 1/5*q**3 - 2/5*q**2 + 0*q**4. Factor u(t).
2*(t - 2)*(t + 1)**2/5
Let g(c) be the third derivative of 0*c + 11/50*c**5 + 0 - 31/60*c**4 - 13/300*c**6 + 1/525*c**7 - 40*c**2 + 2/3*c**3. Factor g(j).
2*(j - 10)*(j - 1)**3/5
Let q(u) be the third derivative of -u**6/40 - 2*u**5/5 - 21*u**4/8 - 9*u**3 + 24*u**2 - 6. Find p such that q(p) = 0.
-3, -2
Factor 0 + 0*y**2 - 12/11*y**3 - 2/11*y**4 + 0*y.
-2*y**3*(y + 6)/11
Let u(l) = -38*l**2 + 78*l - 176. Let a(g) = -12*g**2 + 26*g - 60. Let d(b) = 16*a(b) - 5*u(b). Find y such that d(y) = 0.
5, 8
Let k(x) be the second derivative of -x**5/200 + 2*x**4/3 - 1517*x**3/60 - 1681*x**2/10 + 57*x + 4. Factor k(n).
-(n - 41)**2*(n + 2)/10
Let v(o) be the first derivative of o**4/16 - o**3/3 - 3*o**2/2 + 211. Find n such that v(n) = 0.
-2, 0, 6
Let h be (3 + 623/(-210))/(0 + 10). Let s(g) be the third derivative of 1/15*g**3 + 1/120*g**4 - h*g**5 + 0*g + 0 + g**2. Solve s(t) = 0 for t.
-1, 2
Find s such that -21 + 6*s - 3/7*s**2 = 0.
7
Let t = 8 - 1. Suppose 4*i = -3*k + 14, t*i = 6*i - 3*k + 8. Suppose 2/9*y + 0 - 2/9*y**i = 0. Calculate y.
0, 1
Let u(j) be the first derivative of 0*j - 1/5*j**4 + 1/25*j**5 + 4/15*j**3 + 13 + 0*j**2. Let u(m) = 0. What is m?
0, 2
Let x(h) be the first derivative of 2*h**5/35 - h**4/14 - 2*h**3/7 + h**2/7 + 4*h/7 - 69. Solve x(g) = 0.
-1, 1, 2
Let t(z) be the third derivative of z**5/10 - 3*z**4/8 + 322*z**2. Find v, given that t(v) = 0.
0, 3/2
Let g(z) be the second derivative of -z**7/252 - 7*z**6/180 - z**5/10 - 166*z. Find q such that g(q) = 0.
-4, -3, 0
Let j be 2/9 - (-80)/45. Factor -4*o + 3*o**2 + 7*o**j + 30*o**3 + 2*o**4 - 38*o**3.
2*o*(o - 2)*(o - 1)**2
Determine d, given that 20*d**2 - 3*d**3 - 205 + 58 + 5*d**2 - 105*d + 14*d**2 = 0.
-1, 7
Let l(h) = -3*h**2 + 9*h + 66. Let o(y) = y - 1. Let r(i) = l(i) - 18*o(i). Let r(a) = 0. Calculate a.
-7, 4
Suppose 3 = 2*i + 9. Let z be i + ((-387)/(-162) - (-6)/4). Suppose -4/9*l**3 + z*l**2 - 10/9*l**4 - 4/9*l**5 + 8/9*l + 2/9 = 0. What is l?
-1, -1/2, 1
Suppose 8 = 5*y - 4*g, 0 = -y + 4*g + g - 11. Let h(t) be the first derivative of 0*t**2 + 12 - 2/45*t**3 + 0*t + 1/30*t**y. What is j in h(j) = 0?
0, 1
Let u = 13 + -11. Suppose -15*s**u - 4*s**4 + 14*s**4 - 2*s - 3*s + 5*s**2 + 5*s**5 = 0. What is s?
-1, 0, 1
Suppose 2*i = 9*o - 4*o - 589, 2*o - 586 = 2*i. Let u = i - -878/3. Factor -8/9*y**4 + u*y**3 + 0*y**2 + 1/3*y**5 - 1/9*y + 0.
y*(y - 1)**3*(3*y + 1)/9
Suppose 4*v + l - 8 = 0, -88*l = -84*l. Solve -h + 1/4*h**v + 3/4 = 0 for h.
1, 3
Let t(z) = 730*z**2 - 8560*z - 3125. Let n(j) = 27*j**2 - 317*j - 116. Let f(x) = -55*n(x) + 2*t(x). Factor f(a).
-5*(a - 13)*(5*a + 2)
Let 4/5*d**2 + 16/5*d - 4 = 0. Calculate d.
-5, 1
Let x(h) be the third derivative of h**5/270 + 61*h**4/108 + 20*h**3/9 - 203*h**2. Find i, given that x(i) = 0.
-60, -1
Find l, given that -20*l**2 - 508/5*l - 8 = 0.
-5, -2/25
Solve -552*j - 127*j**2 + 226*j**2 + 38088 - 97*j**2 = 0 for j.
138
Let o(l) be the third derivative of 3*l**6/40 - 17*l**5/20 + 11*l**4/4 - 4*l**3 - 70*l**2. Find m, given that o(m) = 0.
2/3, 1, 4
Let t(h) = -5*h**4 + 2*h**3 + 7*h**2 + 8*h + 4. Let j(z) = -9*z**4 + 4*z**3 + 14*z**2 + 15*z + 7. Let s(n) = -8*j(n) + 14*t(n). Factor s(g).
2*g*(g - 4)*(g + 1)**2
Let b(r) be the second derivative of -r**4/12 + 5*r**3/3 - 8*r**2 + 163*r. Factor b(v).
-(v - 8)*(v - 2)
Suppose -p = 17*p - 468. Let q be (-8)/(-16) + p/20. Determine d so that 0 + q*d - 3/5*d**2 - 9/5*d**3 + 3/5*d**4 = 0.
-1, 0, 1, 3
Let o(w) = -19*w - 17. Let t be o(-2). Suppose 12*m - t = 5*m. Factor 9/2*k**m - 3/2*k**4 - 9/2*k**2 + 3/2*k + 0.
-3*k*(k - 1)**3/2
Let v = 271/658 + 15/94. Factor -v*r**2 + 8/7*r - 4/7.
-4*(r - 1)**2/7
Let s(l) be the first derivative of -9*l**5/5 + 4*l**4 - 5*l**3/3 - l**2 + 144. Suppose s(d) = 0. Calculate d.
-2/9, 0, 1
Let v(o) = 21 - 16*o**2 + 4*o**3 + 11 + o**3 - 8*o**2 + 30*o. Let g(m) = -6*m**3 + 25*m**2 - 29*m - 32. Let z(a) = 2*g(a) + 3*v(a). Factor z(j).
(j - 4)**2*(3*j + 2)
Let m(u) be the first derivative of -6 + 3/20*u**5 - 3*u**4 + 24*u**3 - 96*u**2 + 14*u. Let t(l) be the first derivative of m(l). Factor t(n).
3*(n - 4)**3
Let s(a) be the third derivative of a**7/70 - 3*a**5/20 - a**4/4 + 89*a**2. What is n in s(n) = 0?
-1, 0, 2
Let v be (-6)/(-7)*-1 + 1. Let y(u) = -u**3 + 7*u**2 + 21*u - 25. Let d be y(9). Factor -4/7 - v*q**d + 4/7*q.
-(q - 2)**2/7
Let r(b) be the second derivative of -b + 0*b**3 - 1/5*b**5 + 2/15*b**6 - 2/3*b**4 + 0*b**2 + 0. Factor r(g).
4*g**2*(g - 2)*(g + 1)
Suppose 24*j**2 + 12*j + 3/4*j**5 + 18*j**3 + 0 + 6*j**4 = 0. Calculate j.
-2, 0
Let m = -921 + 8297/9. Factor -4/3*t**2 - 2/9 - m*t - 8/9*t**3 - 2/9*t**4.
-2*(t + 1)**4/9
Let j(i) be the first derivative of 7*i**5 - 12 + 5/3*i**3 - 25/4*i**4 - 5/2*i**6 + 0*i + 0*i**2. Factor j(a).
-5*a**2*(a - 1)**2*(3*a - 1)
Let n be (-7 + 22)*1*2*2/20. Factor 0*a**2 + 7/2*a + 3 - 1/2*a**n.
-(a - 3)*(a + 1)*(a + 2)/2
Let o = -73 - -68. Let d(k) = -5*k**3 + 2*k**2 + 5*k + 6. Let j(u) = -6*u**3 + 3*u**2 + 6*u + 7. Let p(x) = o*d(x) + 4*j(x). Find s, given that p(s) = 0.
-2, -1, 1
Let v(o) be the first derivative of o**4/2 + 436*o**3/3 + 11881*o**2 - 498. Factor v(c).
2*c*(c + 109)**2
Let x(m) = 2*m**2 - 11*m - 5 - 2*m**2 + m**2. Let o(y) = 6*y + 3. Let k(i) = -5*o(i) - 3*x(i). Factor k(w).
-3*w*(w - 1)
Let y(z) be the second derivative of -1/3*z**4 - 4*z**3 - 24*z + 0 + 8*z**2 + 0*z**6 + 7/10*z**5 - 1/21*z**7. Let y(m) = 0. What is m?
-2, 1, 2
Let w(j) be the third derivative of j**6/1140 + j**5/114 - j**4/19 - 12*j**3/19 - 6*j**2 + 16*j. Factor w(z).
2*(z - 3)*(z + 2)*(z + 6)/19
Let u(d) be the third derivative of d**5/390 + 11*d**4/78 - 16*d**3/13 + 227*d**2. Factor u(o).
2*(o - 2)*(o + 24)/13
Let o(n) be the first derivative of -n**7/42 - n**6/15 - n**5/20 - 2*n + 9. Let r(q) be the first derivative of o(q). Solve r(f) = 0.
-1, 0
Suppose 0 = b - 5*s + 11, s = -9*b + 14*b - 17. Let n(g) be the second derivative of 1/42*g**b - 3/7*g**2 + 2/21*g**3 + 0 + g. Let n(q) = 0. What is q?
-3, 1
Let y = 941 + -926. Factor 3/2*p**5 + y*p**2 + 15/2*p + 15*p**3 + 15/2*p**4 + 3/2.
3*(p + 1)**5/2
What is o in 186/7*o**2 + 9/7*o**3 + 600/7 + 1020/7*o = 0?
-10, -2/3
Let f(n) be the first derivative of n**6/9 + 4*n**5/15 - n**4 - 40*n**3/9 - 19*n**2/3 - 4*n + 164. Suppose f(c) = 0. Calculate c.
-2, -1, 3
Let d be (-3239)/540 + (6 - 0). Let s(g) be the third derivative of -1/27*g**3 - 1/90*g**5 + 1/36*g**4 + 0*g + 0 + d*g**6 - g**2. Factor s(c).
2*(c - 1)**3/9
Let s(r) be the first derivative of -25*r**6/2 - 378*r**5 - 11127*r**4/4 + 3276*r**3 - 1014*r**2 + 128. Let s(m) = 0. Calculate m.
-13, 0, 2/5
Let p(r) = r**2 - 6*r - 6. Let v(b) = 9*b**2 - 28*b - 28. Let q(h) = h**2 + h + 1. Let f(m) = -3*q(m) + v(m). Let i(y) = -4*f(y) + 22*p(y). Factor i(s).
-2*(s + 2)**2
Let q be (((-3)/(-14))/(-3))/((-27)/18). Let o(g) be the second derivative of -q*g**3 + 1/42*g**4 + 0 + 0*g**2 + 8*g. Factor o(t).
2*t*(t - 1)/7
Let -1/3*t**3 + 0*t + 0 - 20*t**2 = 0. What is t?
-60, 0
Let v(k) be the second derivative of 1/6*k**6 + 0*k**3 + 0*k**2 - 5/12*k**4 - 7*k + 0*k**5 + 0. Factor v(i).
5*i**2*(i - 1)*(i + 1)
Suppose -6 = -r + 3. Factor -4*s - 2*s**3 + s + r*s**2 - 4*s**3.
-3*s*(s - 1)*(2*s - 1)
Let l(d) = -d**3 + d**2 - d - 2. Let s(t) = -225*t**3 - 7173*t**2 - 3126*t - 312. Let v(a) = 18*l(a) + s(a). Factor v(o).
-3*(o + 29)*(9*o + 2)**2
Let f(k) be the first derivative of 2*k**5/55 - 3*k**4/22 + 2*k**3/33 + 3*k**2/11 - 4*k/11 + 104. Solve f(n) = 0.
-1, 1, 2
Let k(i) be the first derivative of 23 - 1/10*i**2 + 0*i + 1/15*i**3. Suppose k(w) = 0. What is w?
0, 1
Let c(n) be the first derivative of -6/7*n + 10 + 3/14*n**2 + 1/7*n**3. Solve c(k) = 0.
-2, 1
Let o(x) be the third derivative of -5*x**8/84 - 52*x**7/105 - 5*x**6/6 - 4*x**5/15 - x**2 + 244. Determine k so that o(k) = 0.
-4, -1, -1/5, 0
Let f be 72/3*(-262)/(-2096). Factor 0 + 0*m - 1/2*m**f - 9/2*m**2.
-m**2*(m + 9)/2
Let d = 2242/15 - 895/6. Let a(s) be the second derivative of 0 - 1/14*s**7 - 1/2*s**3 + d*s**5 + 1/15*s**6 - 1/3*s**4 - 9*s + s**2. Find g such that a(g) = 0.
-1, 2/3, 1
Factor -1/5*n**2 + 316/5*n - 24964/5.
-(n - 158)**2/5
Factor h**2 - 515*h**3 - 520*h**3 + 1