e third derivative of y**5/15 + 3*y**4/2 + 28*y**3/3 + 20*y**2. Factor l(g).
4*(g + 2)*(g + 7)
Let k(t) = -t**2 + t. Let n(d) = -d**2 + d - 1. Let p(y) = -5*k(y) + 4*n(y). Let a be p(3). Factor 0*f + a*f - 5*f - 3*f**2.
-3*f*(f + 1)
Let g(q) be the second derivative of -q**4/12 + q**3/6 + q**2/2 + 4*q. Let r(f) = -4*f**2 + 10*f + 12. Let n(m) = -2*g(m) + r(m). Factor n(i).
-2*(i - 5)*(i + 1)
Let l = -2 - -6. Suppose 0 = 2*r + 5*r - l*r. Factor 2/3*y + 8/3*y**3 + r + 10/3*y**2.
2*y*(y + 1)*(4*y + 1)/3
Suppose 1/4*p**2 + 55/4 + 4*p = 0. Calculate p.
-11, -5
Let u = 61 - 58. Solve -d**2 + 1 - d**4 - 7*d**u - 10 + 2*d**5 + 5*d + 11 = 0.
-1, -1/2, 1, 2
Let a(i) be the first derivative of 2*i**3/33 - 9*i**2/11 + 36*i/11 + 71. Factor a(s).
2*(s - 6)*(s - 3)/11
Solve -19044/7 - 552/7*v - 4/7*v**2 = 0.
-69
Determine s, given that 152*s**4 + 36*s**5 + 140*s**3 - 176*s + 324 + 342 - 120*s**2 - 698 = 0.
-2, -1, -2/9, 1
Let j(i) = i + 2*i - 5 - 3*i - i. Let a be j(-7). Solve -8*l + 4*l**3 - 2*l**2 + 8 + l**4 + 0*l**4 - 4*l**a + l**4 = 0 for l.
-2, 1
Let r(h) = 4*h. Let c be r(0). Factor 0*v + v**2 + 3 + c*v + 2*v**2 - 6*v.
3*(v - 1)**2
Let l = -15 - -16. Let t be (-1 + l)*(-2)/4. Factor t*m**3 - 2*m - 5*m**3 + 2*m**3 + 5*m.
-3*m*(m - 1)*(m + 1)
Let f(q) = q**2 - 10*q + 2. Let b be f(8). Let l be (6/b)/(18/(-12)). Factor -4/7 + 2/7*d**2 - l*d.
2*(d - 2)*(d + 1)/7
Let k(q) be the third derivative of -2/27*q**3 - 1/108*q**4 + 0 + 21*q**2 - 1/45*q**7 + 0*q + 23/270*q**5 + 1/540*q**6. Suppose k(y) = 0. Calculate y.
-1, -2/7, 1/3, 1
Let z(y) be the second derivative of 16/3*y**3 + 0 + 6*y**2 + 2/15*y**5 + 19*y + 13/9*y**4. Factor z(g).
4*(g + 3)**2*(2*g + 1)/3
Suppose -2*w = 3*o - 17, 0 = -8*o + 3*o - w + 19. What is s in 2 + o*s**3 + 1 - 3*s + 3 - 6*s**2 = 0?
-1, 1, 2
Let v(s) be the third derivative of -s**9/211680 + s**7/1470 + 2*s**6/315 - 43*s**5/60 - 20*s**2. Let c(y) be the third derivative of v(y). Solve c(j) = 0.
-2, 4
Let i(a) be the first derivative of -2*a**6/105 - 9*a**5/35 - 8*a**4/7 - 32*a**3/21 - 5*a + 15. Let x(c) be the first derivative of i(c). Factor x(k).
-4*k*(k + 1)*(k + 4)**2/7
Let h = 12453 - 62263/5. Factor h*q**3 + 0 + 0*q**2 + 0*q - 2/5*q**4.
-2*q**3*(q - 1)/5
Let l(b) = -6*b**3 - 114*b**2 - 107*b + 20. Let k be l(-18). Determine f so that 4/7 - 4/7*f**k + 2/7*f**3 - 2/7*f = 0.
-1, 1, 2
Let h(p) be the third derivative of 0 + 1/120*p**6 + 0*p + 5*p**2 + 1/90*p**5 + 0*p**3 + 0*p**4 - 1/1008*p**8 + 0*p**7. Factor h(w).
-w**2*(w - 2)*(w + 1)**2/3
Suppose 0 = -11*b + 58 - 14. Let o(s) be the second derivative of -1/20*s**5 + 0 - 2*s + 1/6*s**3 - 1/2*s**2 + 1/12*s**b. Factor o(i).
-(i - 1)**2*(i + 1)
Let o = 59/40 + 1/8. Let l = 17/4 + -53/20. Let -o + l*n - 2/5*n**2 = 0. What is n?
2
Let i = 46588 + -326112/7. Let 0 - i*f**2 + 2/7*f**3 + 0*f = 0. Calculate f.
0, 2
Let i = -5012/3 + 1671. What is a in -i*a**4 + 0*a**3 + 0 + 0*a + 1/3*a**2 = 0?
-1, 0, 1
Let r(c) be the first derivative of -c**3/3 + 13*c**2/2 + 7. Let a be r(12). Factor -17*w + 4*w**3 + 11*w + a + 4*w**2 - 14*w.
4*(w - 1)**2*(w + 3)
Let f be (13 - 20) + 8 + (0 - 1). Let o(k) be the third derivative of 0*k + f - 1/12*k**4 - 1/30*k**5 + 2/3*k**3 + 3*k**2. Factor o(s).
-2*(s - 1)*(s + 2)
Factor 24/13*f**3 - 96/13*f**2 + 0 + 128/13*f - 2/13*f**4.
-2*f*(f - 4)**3/13
Let o be 14/(-2 + 0) - 87/(-12). Factor -o*a**2 - a + 0.
-a*(a + 4)/4
Factor 5417*c + 48 - 2738*c - 2729*c + 2*c**2.
2*(c - 24)*(c - 1)
Let w = -24 - -15. Let v = 47/5 + w. Factor v + 1/5*p**2 + 3/5*p.
(p + 1)*(p + 2)/5
Let d(f) be the third derivative of 0 - 1/270*f**5 + 1/1080*f**6 + 0*f**3 + 0*f - 4*f**2 + 1/216*f**4. Factor d(u).
u*(u - 1)**2/9
Let m(c) be the third derivative of c**5/15 + c**4/2 - 12*c**3 + 2*c**2 - 45. What is u in m(u) = 0?
-6, 3
Let c be (-14 - 1)/(-11 - -8). Suppose c*t + 1 - 11 = 0. Factor -1/5*s**t - 16/5 - 8/5*s.
-(s + 4)**2/5
Determine o so that -13*o**2 + 41*o**2 - 112*o**2 + 153*o - 4*o**3 - 3*o**4 + 31*o**3 - 45*o - 48 = 0.
1, 2, 4
Let v(c) be the second derivative of -c**7/504 - c**6/36 - c**5/8 - 13*c**4/12 + 4*c. Let b(t) be the third derivative of v(t). Find l, given that b(l) = 0.
-3, -1
Let r be ((-3 - 0)/(0 + (-3)/4))/4. Determine d so that 3/2*d**3 + 1/2*d**2 + 1/2*d**4 - r - 3/2*d = 0.
-2, -1, 1
Find l, given that 136*l**3 - 5 - 58 + 8*l**2 - 5 + 60*l**4 - 132*l - 4*l**5 = 0.
-1, 1, 17
Solve -28/5*y**2 - 64/5*y**3 + 6/5*y**4 + 22/5 + 64/5*y = 0.
-1, -1/3, 1, 11
Let n be (-5)/((-1275)/(-476)) + 2. Factor n*l + 0 - 2/15*l**2.
-2*l*(l - 1)/15
Factor 3*n**4 + 5*n**5 - 6*n**2 + 2*n**3 - 3*n**3 + 3*n**2 - 4*n**5.
n**2*(n - 1)*(n + 1)*(n + 3)
Find u, given that 0 + 2/7*u**2 - 150/7*u = 0.
0, 75
Factor 59 - 2 + 39 + 4*c**4 + 5*c - 12*c**3 - 21*c - 72*c**2.
4*(c - 6)*(c - 1)*(c + 2)**2
Let v(o) be the third derivative of -o**5/30 + 5*o**4/2 + 64*o**3/3 + 457*o**2. Factor v(d).
-2*(d - 32)*(d + 2)
Let u be 58/18 + 4/(-18). Factor -164*g**2 + g + 10*g + g - 4*g**u + 172*g**2.
-4*g*(g - 3)*(g + 1)
Let p = 51/1150 + -1/230. Let k(b) be the third derivative of 0*b - 1/150*b**6 + p*b**5 + 0 - 1/10*b**4 + 2/15*b**3 - 6*b**2. Factor k(m).
-4*(m - 1)**3/5
Let f(p) be the first derivative of p**5/60 + p**4/12 - p**3/18 - p**2/2 - 6*p + 12. Let b(s) be the first derivative of f(s). Find g such that b(g) = 0.
-3, -1, 1
Let u(m) = -11*m**5 - 12*m**4 - m**3 + 10*m**2 - 5*m - 5. Let d(y) = -17*y**5 - 18*y**4 - y**3 + 16*y**2 - 8*y - 8. Let z(n) = -5*d(n) + 8*u(n). Factor z(p).
-3*p**3*(p + 1)**2
Factor 0*g - 3*g**3 - 3/2*g**2 + 0 - 3/2*g**4.
-3*g**2*(g + 1)**2/2
Suppose 386 = -3*w + 71. Let y be ((-11)/44)/((w/(-12))/(-5)). Factor 1/7*m**3 - 1/7 - y*m + 1/7*m**2.
(m - 1)*(m + 1)**2/7
Let c(k) be the third derivative of -k**6/60 + 7*k**5/30 - k**4/3 - 4*k**3 - 27*k**2. What is y in c(y) = 0?
-1, 2, 6
Let o = 107/12 - 89/12. Factor 0*q - o*q**2 - 3/2*q**3 + 0.
-3*q**2*(q + 1)/2
Let i(b) be the third derivative of b**7/105 + b**6/20 - b**4/3 - 54*b**2. Factor i(p).
2*p*(p - 1)*(p + 2)**2
Let l = -104 + 114. Let c be (16/l)/((-42)/(-15)). Suppose c - 2/7*k**2 - 2/7*k = 0. What is k?
-2, 1
Suppose -3 + 38 = -5*z. Let q = 16 + z. Factor -q - u + 9 + u**3.
u*(u - 1)*(u + 1)
Let d = 420 - 420. Let a(t) be the first derivative of -1/6*t**2 + 2/15*t**5 - 1 - 2/9*t**3 + 0*t + 1/18*t**6 + d*t**4. Let a(h) = 0. What is h?
-1, 0, 1
Let a(g) be the third derivative of 0 + 0*g**3 - 1/160*g**6 - 1/840*g**7 + 1/24*g**4 + 11*g**2 + 0*g**5 + 0*g. What is y in a(y) = 0?
-2, 0, 1
Let b(g) = 4*g + 46. Let f be b(-11). Suppose 2*w**5 - 2*w - 2*w**2 - 4*w**4 - 10*w**f + 16*w**2 = 0. Calculate w.
-1, 0, 1
Let m(o) = -9*o**2 + o + 10. Let u(z) = 3*z**2 + 7 - 15 + 7 - 2*z**2. Let n(i) = -3*m(i) - 24*u(i). Determine b so that n(b) = 0.
-1, 2
Suppose 5*u - 12 = -l - 0*u, 2*l - 5*u = -6. Let -17*c**l - 6*c - 3*c**3 + c**2 + 7*c**2 = 0. What is c?
-2, -1, 0
Find j such that -34*j**3 + 14*j**3 - 29*j**3 - 5*j**2 - 5*j**2 + 4*j**3 = 0.
-2/9, 0
Let u(p) = 14*p**2 + 74*p + 282. Let k(v) = -75*v**2 - 369*v - 1411. Let j(q) = -2*k(q) - 11*u(q). Factor j(y).
-4*(y + 5)*(y + 14)
Suppose 1216*b - 1220*b + 8 = 0. Find z, given that 1/4*z**b - 3/2*z + 9/4 = 0.
3
Factor 0 + 14*w**2 - 2/3*w**4 + 30*w - 2/3*w**3.
-2*w*(w - 5)*(w + 3)**2/3
Let v be (-3)/(3/(-2)) - 1196/(-322). Let z = 44/7 - v. Factor -3/7*j + 1/7*j**2 - z.
(j - 4)*(j + 1)/7
Let f(m) be the first derivative of m**4/4 + 3*m**3 + 11*m**2/2 - 21*m - 51. What is c in f(c) = 0?
-7, -3, 1
Let g(b) be the second derivative of -b**8/9240 + b**7/1540 - b**6/990 - 11*b**3/3 + b. Let j(h) be the second derivative of g(h). Let j(t) = 0. Calculate t.
0, 1, 2
Let b(f) be the first derivative of -3*f**6/140 - 4*f**5/35 - 13*f**4/84 - 2*f**3/21 + 15*f**2 + 37. Let g(a) be the second derivative of b(a). Factor g(c).
-2*(c + 2)*(3*c + 1)**2/7
Let j = -33 + 41. Let s be (-12)/(-32)*-4*j/(-42). What is m in 2/7*m - 4/7 - 2/7*m**3 + 6/7*m**2 - s*m**4 = 0?
-2, -1, 1
Let r(y) be the first derivative of 7*y**3/12 - 3*y**2/4 - 261. Factor r(a).
a*(7*a - 6)/4
Suppose 11*w = -7*w. Let m(h) be the third derivative of -1/60*h**5 - 3/2*h**3 + w - 1/4*h**4 - h**2 + 0*h. What is i in m(i) = 0?
-3
Let m(w) be the third derivative of -w**5/210 + w**4/6 - 16*w**3/7 + 31*w**2. Let m(h) = 0. Calculate h.
6, 8
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