13. Let a(f) be the third derivative of y(f). Solve a(m) = 0.
-2, 0, 1
Let o be 1/(-10)*-2*(6 - 5). Let v(p) be the first derivative of 2/15*p**3 + o*p**2 - 4/5*p + 3. Factor v(c).
2*(c - 1)*(c + 2)/5
Let g(m) = -28*m**5 + 16*m - 16. Let l(k) = -9*k**5 + 5*k - 5. Suppose 16 = 5*a - 4*a. Let r(f) = a*l(f) - 5*g(f). Solve r(w) = 0 for w.
0
Let t(h) be the third derivative of -1/280*h**7 + 0*h**3 + 1/16*h**4 + 12*h**2 + 0*h + 1/40*h**6 - 1/16*h**5 + 0. Factor t(u).
-3*u*(u - 2)*(u - 1)**2/4
Let j be 3/30 + (-9)/6*5/(-15). Let -j - 33/5*a**2 - 36/5*a = 0. What is a?
-1, -1/11
Suppose 0 = 6*t + 27 - 39. Factor 3*l + 7*l + t*l**2 + 18 + 10*l.
2*(l + 1)*(l + 9)
Let t(g) be the first derivative of 4/7*g**2 - 8/35*g**5 - 32 + 0*g + 10/7*g**4 - 34/21*g**3. Solve t(d) = 0.
0, 1/2, 4
Let s(a) be the third derivative of 0*a + 0 - 1/360*a**5 + 0*a**3 + 0*a**6 + 1/1260*a**7 + 13*a**2 + 0*a**4. Factor s(n).
n**2*(n - 1)*(n + 1)/6
Let f(t) be the second derivative of 0 - 1/60*t**5 - 1/2*t**2 + 1/12*t**4 + 0*t**3 - 5*t. Let h(v) be the first derivative of f(v). Factor h(a).
-a*(a - 2)
Let m(h) be the third derivative of -2*h**7/945 - h**6/90 - h**5/135 + h**4/18 + 4*h**3/27 - 10*h**2 - 4. What is i in m(i) = 0?
-2, -1, 1
Let b = 1142/879 + 10/293. Factor -b*w - 1 + 1/3*w**4 + 4/3*w**3 + 2/3*w**2.
(w - 1)*(w + 1)**2*(w + 3)/3
Let w(l) = -l**3 - 8*l**2 + 11*l + 16. Let s(k) = -6*k**3 - 40*k**2 + 56*k + 79. Let x(u) = 2*s(u) - 11*w(u). Factor x(n).
-(n - 6)*(n - 3)*(n + 1)
Suppose 0*j - 2/7*j**4 + 0 - 8/7*j**3 - 8/7*j**2 = 0. What is j?
-2, 0
Let l(z) = -z - 2. Let k be l(-2). Let h be (-1)/(-8)*1080/405. Let -h*x + 1/3*x**3 + 0*x**2 + k = 0. What is x?
-1, 0, 1
Let b(r) be the first derivative of -11 + 0*r + 8/21*r**3 - 1/7*r**4 - 2/7*r**2. Find m, given that b(m) = 0.
0, 1
Suppose 2*g - 10 = -5*s + 18, -5*s = 20. Let d be (g/(-84))/((-4)/7). Factor -w - 1/2*w**4 + 0*w**2 + d + w**3.
-(w - 1)**3*(w + 1)/2
Let d(c) be the second derivative of -2*c**6/3 + 13*c**5/5 - 11*c**4/3 + 2*c**3 - 343*c. Factor d(r).
-4*r*(r - 1)**2*(5*r - 3)
Let p(l) be the first derivative of -4*l**5/15 - 2*l**4 - 20*l**3/9 + 228. Suppose p(x) = 0. Calculate x.
-5, -1, 0
Let s(q) be the first derivative of 5*q**4/4 + 10*q**3/3 - 15*q**2/2 + 248. Suppose s(o) = 0. Calculate o.
-3, 0, 1
Find z, given that -16/7*z + 2/7*z**2 + 30/7 = 0.
3, 5
Let k(v) be the first derivative of 1/20*v**5 + 4 + 0*v**3 + 0*v + 3*v**2 - 1/8*v**4. Let q(i) be the second derivative of k(i). Factor q(b).
3*b*(b - 1)
Let o(c) be the second derivative of 0 - 14*c + 5/6*c**3 + 1/3*c**4 + 1/20*c**5 + c**2. Suppose o(t) = 0. Calculate t.
-2, -1
Let c(v) = -15*v**5 - 4*v**4 + 47*v**3 - 21*v**2 - 9*v - 18. Let t(p) = -7*p**5 - 2*p**4 + 23*p**3 - 10*p**2 - 4*p - 8. Let q(s) = 4*c(s) - 9*t(s). Factor q(d).
d**2*(d - 2)*(d + 3)*(3*d - 1)
Let o be 2/30 + (-12)/(-36). Let x(t) be the first derivative of -t**4 - o*t - 2/5*t**5 - t**2 - 4/3*t**3 - 4 - 1/15*t**6. Suppose x(i) = 0. What is i?
-1
Suppose 0 = -5*n + 2*b - 4*b - 6, 5*n + 5*b = 0. Let l(q) = q**3 + 4*q**2 + 4*q + 3. Let p be l(n). Suppose 3 - 4*t - 6 + p*t - 3*t**2 - 5*t = 0. Calculate t.
-1
Find g, given that 4*g**5 - 18*g**4 + 2 + 10*g**2 + 9*g**2 - 18*g + 26*g**3 + 12*g - 29*g**2 + 2 = 0.
-1/2, 1, 2
Let g = 253 + -253. Let u(p) be the second derivative of -1/3*p**4 + g + 3*p - 2*p**2 + 4/3*p**3. Factor u(s).
-4*(s - 1)**2
Suppose 0 = -4*p - 16, 4*a + 21*p = 26*p + 28. Factor 0 + 15/4*f + 3/4*f**a.
3*f*(f + 5)/4
Let p(z) be the first derivative of -2*z**5/25 + z**4/2 + 169. Factor p(u).
-2*u**3*(u - 5)/5
Let r(v) be the second derivative of -3*v**5/20 + 69*v**4/4 - 1587*v**3/2 + 36501*v**2/2 - 14*v + 5. Solve r(c) = 0 for c.
23
Let o(b) = 6*b**4 + 2*b**3 - 4*b**2 + 5. Let f(p) = -p**4 + p**2 - 1. Let t(q) = -2*q + 9. Let z be t(2). Let j(c) = z*f(c) + o(c). Factor j(s).
s**2*(s + 1)**2
Let k = -57 + 59. Let b(v) be the second derivative of -1/20*v**5 + 0 - 9/2*v**3 + 3*v - 27/2*v**k - 3/4*v**4. Let b(s) = 0. Calculate s.
-3
Solve -18/5*l - 2*l**2 - 2/15*l**3 + 162/5 = 0.
-9, 3
Let l(b) be the first derivative of b**6/120 - b**5/10 + b**4/2 + 5*b**3/3 - 21. Let k(q) be the third derivative of l(q). Determine r, given that k(r) = 0.
2
Let b be (-18)/(-60) - (-136)/80. Let x(k) be the first derivative of 4/3*k**3 - 6 + 0*k - 8*k**b. Find n such that x(n) = 0.
0, 4
Let u be 5/(-25) - (-72)/10. Factor 4*x**2 - u*x + 2*x + 18*x + 7*x.
4*x*(x + 5)
Let j = -19 - -28. Let q = j - 6. Determine s so that -18*s**3 - 12*s**4 - s**5 - 3*s - 12*s**2 - q*s**5 + s**5 = 0.
-1, 0
Factor m**3 - 1/2*m**5 + 0*m**2 + 0 + 0*m + 1/2*m**4.
-m**3*(m - 2)*(m + 1)/2
Factor 214*q - 13*q**2 - 94*q - 38 - 169*q**3 + 2.
-(q + 1)*(13*q - 6)**2
Let c(h) be the third derivative of -h**6/285 + h**5/114 - h**4/228 + 173*h**2. Factor c(w).
-2*w*(w - 1)*(4*w - 1)/19
Let v(s) be the second derivative of 27/140*s**5 + 0*s**2 + 0 - 27/28*s**4 + 27/14*s**3 - s - 1/70*s**6. Factor v(j).
-3*j*(j - 3)**3/7
Let l = 6716/5 + -1340. Factor -l - 48/5*r - 52/5*r**2 - 4/5*r**4 - 24/5*r**3.
-4*(r + 1)**2*(r + 2)**2/5
Suppose -6/19*h - 10/19*h**2 - 2/19*h**3 + 18/19 = 0. Calculate h.
-3, 1
Let r(j) be the second derivative of -j**5/20 + 5*j**4/3 - 19*j**3/6 + j**2 - 18*j. Let a be r(19). Factor 4/5*x - 2/5*x**a - 2/5.
-2*(x - 1)**2/5
Let c(o) be the third derivative of -o**5/390 - 137*o**4/78 - 18769*o**3/39 - 304*o**2. Suppose c(q) = 0. What is q?
-137
Let r(d) be the first derivative of -2*d**3/21 - 12*d**2/7 - 72*d/7 - 49. Factor r(q).
-2*(q + 6)**2/7
Let a(t) = t**2 + 2*t + 4. Let b be a(0). Let n(k) be the third derivative of 0*k + k**2 + 0*k**3 - 1/24*k**b + 0 + 1/180*k**5. Suppose n(z) = 0. Calculate z.
0, 3
Let q be 0/(3*(-4 - -13)/(-9)). Factor q + 0*l + 1/3*l**3 + 2/3*l**2.
l**2*(l + 2)/3
Let n be (-2)/(-11) + 696/3190. Let w(l) be the first derivative of -n*l + 3/5*l**3 + 7/10*l**2 - 3. Factor w(k).
(k + 1)*(9*k - 2)/5
Let d(a) be the third derivative of a**7/490 - a**6/140 - a**5/140 + a**4/28 - 165*a**2. Factor d(x).
3*x*(x - 2)*(x - 1)*(x + 1)/7
Determine y, given that -13112724*y + 381924*y**2 - 4944*y**3 + 24*y**4 + 337652643/2 = 0.
103/2
Let a(l) be the second derivative of -3*l**5/50 - 2*l**4/5 + 3*l**3 + 54*l**2/5 + 4*l + 9. Suppose a(u) = 0. What is u?
-6, -1, 3
Suppose -5*o = -5*a + 25, -o + 2*o + 5*a + 5 = 0. Let t be o*(8/10)/(-2). Factor -j + 4 - 3*j - 2*j + 8*j**3 - 2*j**5 + j**t - 5*j**2.
-2*(j - 1)**3*(j + 1)*(j + 2)
Let h(n) be the third derivative of n**6/720 - n**5/120 + n**4/48 - 2*n**3 - 5*n**2. Let b(o) be the first derivative of h(o). Factor b(x).
(x - 1)**2/2
Suppose -2*z = -5*s + 32, 2*z + 30 - 10 = 3*s. Suppose 11*t = 28 - s. Factor 4/3 + 2/3*p - 2/3*p**t.
-2*(p - 2)*(p + 1)/3
Let p(f) be the third derivative of 1/2*f**4 - 1/3*f**3 - 3/10*f**5 + 0*f + 7*f**2 + 0 + 1/15*f**6. Solve p(c) = 0 for c.
1/4, 1
Suppose 33*q = 51*q. Let z(r) be the third derivative of 0*r**4 + 1/300*r**6 + 0*r**3 - 1/1680*r**8 + 0*r - 13*r**2 + 1/1050*r**7 + 0 + q*r**5. Factor z(s).
-s**3*(s - 2)*(s + 1)/5
Let r be 1*(-9 - (-3520)/390). Let h(a) be the second derivative of 0 + 15*a + 2/13*a**2 - 1/39*a**4 + r*a**3 - 1/130*a**5. Find f such that h(f) = 0.
-2, -1, 1
Let o be (-14 - -15)*0/(-2). Let d(n) be the third derivative of 0*n + 3*n**2 + 4/21*n**3 + 1/210*n**5 + 1/21*n**4 + o. Factor d(p).
2*(p + 2)**2/7
Let v(m) be the first derivative of -1/5*m**2 + 12/5*m - 2/15*m**3 - 40. Factor v(i).
-2*(i - 2)*(i + 3)/5
Let v(f) = 7*f**2 + 3*f - 58. Let a(w) = 20*w**2 + 19*w - 175. Let o(n) = 6*a(n) - 17*v(n). Factor o(t).
(t - 1)*(t + 64)
Let r(q) be the second derivative of -15*q - 4/9*q**4 + 0 + 2/3*q**2 - 1/6*q**5 - 1/9*q**3. Factor r(b).
-2*(b + 1)**2*(5*b - 2)/3
Suppose r - 3*m - 11 = 0, m = -m - 6. Let -20 + 26 - 7*u**3 - 26 - 40*u + r*u**3 - 25*u**2 = 0. Calculate u.
-2, -1
Let n be (-1)/(-7) - 1729/(-931). Factor 2/7*p**3 + 2/7 + 6/7*p**n + 6/7*p.
2*(p + 1)**3/7
Let h(i) be the first derivative of -i**5/110 + i**4/33 + 7*i**3/33 + 4*i**2/11 + 9*i - 12. Let y(b) be the first derivative of h(b). Factor y(a).
-2*(a - 4)*(a + 1)**2/11
Find i such that -116/7 + 2/7*i**2 - 54/7*i = 0.
-2, 29
Let v(u) be the third derivative of -1/12*u**5 + 0*u**3 - 5/336*u**8 + 0*u + 0 + 0*u**4 - 1/14*u**7 + 4*u**2 - 1/8*u**