 + 0*y + 9/4*y**3 - a*y**4 + 1/40*y**5 - 5*y**2. Solve d(u) = 0 for u.
3
Factor 630/17*b + 2/17*b**3 - 1350/17 - 66/17*b**2.
2*(b - 15)**2*(b - 3)/17
Let v(c) be the third derivative of -c**8/20160 + c**7/5040 - 11*c**5/60 + 9*c**2. Let l(n) be the third derivative of v(n). Factor l(f).
-f*(f - 1)
Let x be (-6 + 3 + 4)/(18/4 + -4). Factor -2/3 - 4/9*g + 2/9*g**x.
2*(g - 3)*(g + 1)/9
Let t(w) be the first derivative of 4/3*w**3 + 18 + 12*w - 8*w**2. Factor t(l).
4*(l - 3)*(l - 1)
Factor 179*t - 33*t**2 - 209*t - 3*t**3 + 5 - 5.
-3*t*(t + 1)*(t + 10)
Factor 5*n**4 + 3872*n**3 - 7*n**2 - 4*n**2 - 3867*n**3 + n**2.
5*n**2*(n - 1)*(n + 2)
Solve -98/9*j + 2/9*j**2 + 32/3 = 0.
1, 48
Suppose -2*m - 8*m + 30 = 0. Let p(y) be the third derivative of 0 - y**2 + 0*y + 0*y**m + 1/150*y**5 + 1/30*y**4. Factor p(w).
2*w*(w + 2)/5
Let d be (-4914)/(-22932)*(-2 - (-1)/((-4)/(-50))). Let -1/4*v**4 - 1/4*v**3 + 9/4*v**2 + d*v + 0 = 0. What is v?
-3, -1, 0, 3
Solve 103684*l**4 + 48668*l**5 + 1589*l**2 + 5640*l**2 + 284*l - 325*l**2 + 4 - 22171*l**3 + 83811*l**3 = 0 for l.
-1, -1/23
Let k(q) be the first derivative of 2*q**3/51 - 8*q**2/17 + 30*q/17 - 439. Factor k(l).
2*(l - 5)*(l - 3)/17
Let t be (4 - 3)*(-12)/(-6). Let 12*i - t*i**2 + 54 - 62 - 4*i = 0. Calculate i.
2
Let n be (-4)/4 - (-2 + 8/(-1)). Let b(f) = 10*f**3 - f. Let r be b(1). Factor 14*v**2 + 8*v**5 + n + 2*v + 26*v**4 - r + 30*v**3.
2*v*(v + 1)**3*(4*v + 1)
Let q(r) be the first derivative of -4*r**3/9 + 23*r**2 - 111. Factor q(t).
-2*t*(2*t - 69)/3
Let j = 1623 - 1623. Solve -4/3*n**2 + j - 1/3*n = 0.
-1/4, 0
Let a(g) be the second derivative of -g**7/1680 - g**6/120 - g**5/20 + 2*g**4/3 + 13*g. Let c(y) be the third derivative of a(y). Suppose c(m) = 0. What is m?
-2
Let m(s) be the first derivative of 3*s**4/20 + 4*s**3/5 - 3*s**2/2 - 12. Factor m(n).
3*n*(n - 1)*(n + 5)/5
Let o(m) = 3*m**2 - 246*m + 2. Let l be o(82). Factor 2/3*a**l + 0*a - 2/3.
2*(a - 1)*(a + 1)/3
Determine v, given that 3*v**5 - 54*v**2 + 4*v**3 + 27*v**3 - 18*v**4 - 106*v**3 = 0.
-2, -1, 0, 9
Let j(o) be the third derivative of -5*o**2 - 1/42*o**7 - 4/3*o**3 + 0 + 9/40*o**6 + 3/2*o**4 - 5/6*o**5 + 0*o. Solve j(c) = 0.
2/5, 1, 2
Let n(i) = -8*i**4 - 80*i**3 - 120*i**2 + 1603*i - 2000. Let d(w) = -25*w**4 - 240*w**3 - 360*w**2 + 4810*w - 6000. Let p(o) = 3*d(o) - 10*n(o). Factor p(j).
5*(j - 2)**2*(j + 10)**2
Let g(s) be the second derivative of 1/10*s**2 - 1/100*s**5 - 7/60*s**3 - 4*s + 0 + 7/120*s**4. Solve g(c) = 0.
1/2, 1, 2
Let b(u) be the first derivative of 4*u**4/5 + 476*u**3/15 + 172*u**2/5 - 116*u/5 + 129. Factor b(p).
4*(p + 1)*(p + 29)*(4*p - 1)/5
Let q(b) be the third derivative of 0 - 7/12*b**4 - 1/10*b**5 + 0*b + 2*b**3 - 43*b**2. Find f such that q(f) = 0.
-3, 2/3
Let g(b) be the second derivative of -675*b**5/2 - 1800*b**4 - 3840*b**3 - 4096*b**2 - 351*b. Factor g(k).
-2*(15*k + 16)**3
Let s(p) be the second derivative of -p**7/63 - p**6/9 + 7*p**5/15 - p**4/9 - 13*p**3/9 + 7*p**2/3 + 674*p. Let s(y) = 0. What is y?
-7, -1, 1
Let p be ((-2)/(-9))/(103 - 83). Let i(c) be the third derivative of -1/360*c**6 + 0 + p*c**5 + 1/72*c**4 - 1/9*c**3 + 9*c**2 + 0*c. Let i(g) = 0. What is g?
-1, 1, 2
Let a(l) be the first derivative of -l**6/540 + l**5/180 + l**4/6 - l**3/3 + 6. Let j(b) be the third derivative of a(b). Factor j(u).
-2*(u - 3)*(u + 2)/3
Let c(r) = -6*r**3 + r**2 + 54*r - 24. Let y(o) = -8*o**3 + 52*o - 24. Let n(i) = -4*c(i) + 5*y(i). Factor n(t).
-4*(t - 1)*(t + 2)*(4*t - 3)
Factor -3*f + 24/7 - 3/7*f**2.
-3*(f - 1)*(f + 8)/7
Let a(m) be the second derivative of -m**4/9 - 80*m**3/9 - 152*m**2/3 - 389*m. Find s, given that a(s) = 0.
-38, -2
Suppose 41*d + 68 = 58*d. Let w(m) be the third derivative of 11/12*m**d - 8/15*m**5 + 7/60*m**6 + 0 + 0*m - 2/3*m**3 - 4*m**2. Find y, given that w(y) = 0.
2/7, 1
Let l(o) be the second derivative of o**9/3024 + o**8/1344 - o**7/126 - o**6/36 - 5*o**4/12 + o. Let x(k) be the third derivative of l(k). Solve x(u) = 0 for u.
-2, -1, 0, 2
Find w, given that -71*w + 30*w**2 - 5*w - 8*w**3 + 6*w**3 - 96 + 58 + 86 = 0.
1, 2, 12
Suppose 12*c = 9*c + 27. Suppose -21*a + 21*a + c*a**3 - 4*a**3 + 5*a**2 = 0. What is a?
-1, 0
Let w(m) be the first derivative of -3/2*m**2 - 1/12*m**4 - 2/3*m**3 - 16 - 4/3*m. Factor w(z).
-(z + 1)**2*(z + 4)/3
Let m(h) be the second derivative of 1/70*h**5 + 0 - 2/21*h**4 + 0*h**2 + 1/7*h**3 + h. What is j in m(j) = 0?
0, 1, 3
Let h = -4580/141 - -1652/47. Factor 0*a**3 - 4/3*a**5 + 0 + 4/3*a + 8/3*a**4 - h*a**2.
-4*a*(a - 1)**3*(a + 1)/3
Factor 0*f**3 + 2/5*f**5 + 0*f + 0*f**2 - 2/5*f**4 + 0.
2*f**4*(f - 1)/5
Let p = 1643 + -1643. Factor p*j - 2*j**4 + 0 + 1/2*j**5 + 5/2*j**3 - j**2.
j**2*(j - 2)*(j - 1)**2/2
Let x be -4 - (-338)/135 - 24/(-16). Let w(k) be the third derivative of 3*k**2 + 1/270*k**6 - x*k**5 + 0*k**4 + 0*k**3 + 0 - 1/945*k**7 + 0*k. Factor w(n).
-2*n**2*(n - 1)**2/9
Let h = 397901/5 - 79930. Let u = h - -351. Factor -u*i**2 + 2/5*i + 0.
-2*i*(3*i - 1)/5
Let o(h) be the third derivative of h**5/330 + h**4/66 - h**3/11 - 160*h**2. Suppose o(q) = 0. Calculate q.
-3, 1
Let v be 2/(-5) - (-20)/50. Suppose 5*s + 25 - 105 = v. Factor 2*o**5 + 2*o**3 + s*o**2 - 6*o - 23*o**3 + 9*o**3.
2*o*(o - 1)**3*(o + 3)
Let w(c) be the second derivative of c**5/50 - c**4 + 15*c**3 - 78*c. Factor w(q).
2*q*(q - 15)**2/5
Let i(u) be the second derivative of u**6/45 + 11*u**5/20 - u**4/2 - 17*u**3/18 - 48*u. Factor i(t).
t*(t - 1)*(t + 17)*(2*t + 1)/3
Let t(p) be the third derivative of p**5/63 - 19*p**4/252 - 2*p**3/63 + 131*p**2 - 1. Let t(c) = 0. Calculate c.
-1/10, 2
Let m(d) be the first derivative of 1/4*d - 1/4*d**2 + 7 + 1/12*d**3. Suppose m(q) = 0. What is q?
1
Let y(j) be the first derivative of -3*j**4/4 + 3*j**3 + 24*j**2 + 36*j - 38. Solve y(c) = 0.
-2, -1, 6
Let g(k) be the third derivative of 0*k - 1/600*k**5 + 13*k**2 + 0 + 0*k**4 + 1/60*k**3. Factor g(w).
-(w - 1)*(w + 1)/10
Let i(m) be the third derivative of m**8/70560 - m**7/1764 + m**6/280 - 17*m**5/30 + 11*m**2. Let r(p) be the third derivative of i(p). Factor r(d).
2*(d - 9)*(d - 1)/7
Let k(v) be the second derivative of 0 + 2*v**3 + 3/2*v**4 + 1/10*v**6 - 13*v + 3/2*v**2 + 3/5*v**5. Let k(n) = 0. What is n?
-1
Let o(l) be the first derivative of 2*l**3/15 - l**2/5 - 8*l - 523. Suppose o(r) = 0. What is r?
-4, 5
Let f(n) = -5*n**4 + 3*n**3 + 12*n**2 - 14*n - 6. Let q(a) = 15*a**4 - 11*a**3 - 34*a**2 + 43*a + 17. Let t(x) = 17*f(x) + 6*q(x). Find j, given that t(j) = 0.
-1, 0, 2
Let u(f) be the third derivative of f**5/105 + 2*f**4/21 + 8*f**3/21 - f**2 + 2. Suppose u(p) = 0. Calculate p.
-2
Let r(i) be the third derivative of -289*i**6/6 + 17*i**5/3 - 5*i**4/24 - 4*i**2 + 11. Factor r(z).
-5*z*(34*z - 1)**2
Let z = -130 + 142. Factor 5*m**5 - m**5 - 7*m**5 + z*m**2 - 9*m**4.
-3*m**2*(m - 1)*(m + 2)**2
Let h(k) be the second derivative of 0 + 1/40*k**5 - 4*k + 0*k**2 + 1/24*k**4 + 0*k**3. Find g, given that h(g) = 0.
-1, 0
Factor 3/2*c**2 + 105/2 - 54*c.
3*(c - 35)*(c - 1)/2
Factor 75*f - 13*f**3 - 65*f**2 - 12*f**3 - 111*f**4 + 225*f**4 + 10*f**3 - 109*f**4.
5*f*(f - 5)*(f - 1)*(f + 3)
Let r(n) be the third derivative of -n**8/336 + n**6/40 + n**5/30 - 181*n**2. Solve r(k) = 0.
-1, 0, 2
Determine l, given that -167*l**2 - 1/2*l**4 - 16*l**3 - 624*l - 1521/2 = 0.
-13, -3
Suppose 2*q + 4*u = -532, 111 + 430 = -2*q + 5*u. Let a = q - -1348/5. Suppose -2*h**2 - 4/5*h + a - 3/5*h**3 = 0. What is h?
-2, 2/3
Let d = 16489 + -16485. Factor 32/3*k - d + 0*k**3 - 8*k**2 + 4/3*k**4.
4*(k - 1)**3*(k + 3)/3
Let j = -75 - -78. Factor 3*c**2 - 13*c**2 - 25*c**j + 4*c**2 + 16*c**2.
-5*c**2*(5*c - 2)
Let x(b) be the first derivative of -1/15*b**4 + 0*b**2 + 1/15*b**6 - 3/50*b**5 + 0*b**3 + 2*b - 3. Let w(a) be the first derivative of x(a). Factor w(n).
2*n**2*(n - 1)*(5*n + 2)/5
Let x(i) be the first derivative of 0*i**2 - 1/7*i**3 + 0*i - 1. Let x(g) = 0. What is g?
0
Suppose -j = 0, -2*b + 77 = 5*j + 17. Factor -21*w**5 + 13 - b + 17 + 39*w**2 - 6*w - 81*w**3 + 69*w**4.
-3*w*(w - 1)**3*(7*w - 2)
Factor -19/8*c**2 + 2*c + 5/2 + 3/8*c**3.
(c - 5)*(c - 2)*(3*c + 2)/8
Let o(x) be the first derivative of -37 - 4/21*x**3 + 2/7*x**4 + 1/21*x**6 - 4/7*x + 8/35*x**5 - 5/7*x**2. Solve o(y) = 0.
-2