third derivative of m**8/336 + m**7/30 - 17*m**6/120 + 3*m**5/20 - 1577*m**2. Factor h(p).
p**2*(p - 1)**2*(p + 9)
Let n(a) be the third derivative of -a**5/60 - a**4/2 + 7*a**3/2 - 2*a**2 - 12. Let d(l) = -l**2 - 9*l + 20. Let u(f) = -3*d(f) + 2*n(f). Factor u(s).
(s - 3)*(s + 6)
Let n(b) be the first derivative of 2/9*b**3 - 1/12*b**4 + 0*b + 0*b**2 - 1/15*b**5 - 82. Factor n(o).
-o**2*(o - 1)*(o + 2)/3
Let a(d) = 56 - 41*d - 8*d**2 + 8*d**2 - 8*d**2 + 7*d**2. Let v(y) = -2*y**2 - 42*y + 57. Let i(w) = -7*a(w) + 6*v(w). Solve i(s) = 0.
2, 5
Let p(s) = -115*s**2 + 8*s**3 + 74*s + 3*s**3 - 3*s**4 - s**4 + 34*s**3. Let c(z) = -z**4 + z. Let d(q) = -c(q) - p(q). Factor d(b).
5*b*(b - 5)*(b - 3)*(b - 1)
Let g(p) be the third derivative of -p**7/840 + p**6/60 - 7*p**5/240 + 215*p**2. Factor g(y).
-y**2*(y - 7)*(y - 1)/4
Let j = -104646 + 941816/9. Determine c, given that -j*c**3 - 10/9*c**2 - 14/9 + 26/9*c = 0.
-7, 1
Let z(v) be the second derivative of 3*v**6/10 - 111*v**5/20 + 45*v**4/4 - 11*v**3/2 + 226*v - 3. Solve z(k) = 0 for k.
0, 1/3, 1, 11
Let a = -62 + 62. Let g = a - -13. Factor -21 - p**2 + g - 2*p**2 + 10*p.
-(p - 2)*(3*p - 4)
Suppose -3413/2*c - 3411/2*c**2 - 569 + 1/2*c**4 - 1135/2*c**3 = 0. Calculate c.
-1, 1138
Let x(z) be the first derivative of -z**6/70 - 3*z**5/70 + z**4/28 + z**3/7 + 110*z - 82. Let h(m) be the first derivative of x(m). Let h(r) = 0. What is r?
-2, -1, 0, 1
Determine w, given that 16 - 700/3*w + 172/3*w**2 = 0.
3/43, 4
Let a(p) be the third derivative of 7/8*p**4 + 1/80*p**6 + 0*p**3 + 0 - 289*p**2 + 9/40*p**5 + 0*p. Factor a(n).
3*n*(n + 2)*(n + 7)/2
Factor -3*q**5 - 90636*q**4 + 90690*q**4 - 36*q**3 - 65*q**3 + 0*q**5 - 67*q**3.
-3*q**3*(q - 14)*(q - 4)
Let v(d) = d**3 - 9*d**2 - 9*d - 8. Let b be v(10). Solve 3*q**3 - 3*q**b + 3*q**4 + 4*q**2 + 0*q**3 - 3*q - 4*q**2 = 0 for q.
-1, 0, 1
Let i = 192 - 185. Factor 3*o + 65 - i*o**3 - 3*o**4 - 63 + 0*o**4 - 3*o**2.
-(o + 1)**3*(3*o - 2)
Suppose -8*s = 23*s - 1488. Let i be s/66*5/4. Factor 0*d + 2/11*d**5 + 0 + 14/11*d**3 - i*d**4 - 6/11*d**2.
2*d**2*(d - 3)*(d - 1)**2/11
Let m = -809031/2 + 7281283/18. Factor m*w**5 + 0 - 4/9*w**3 + 0*w**2 + 2/9*w + 0*w**4.
2*w*(w - 1)**2*(w + 1)**2/9
Let i = 425 - 398. Factor -i + 4 - 31*v**5 - 41 + 27*v**5 - 52*v**4 - 232*v - 316*v**2 - 196*v**3.
-4*(v + 1)**3*(v + 2)*(v + 8)
Let f(l) be the second derivative of -l**6/105 - 18*l**5/35 - 33*l**4/14 + 4303*l. Factor f(v).
-2*v**2*(v + 3)*(v + 33)/7
Let r(z) be the first derivative of 232 + 0*z - 5/3*z**4 + 2/5*z**5 + 2*z**3 - 2/3*z**2. Solve r(x) = 0 for x.
0, 1/3, 1, 2
Let c(n) be the first derivative of 0*n**4 + 0*n + 4/35*n**5 + 4/7*n**2 + 32 - 4/7*n**3. Solve c(p) = 0 for p.
-2, 0, 1
Suppose 0 = 3*h - 5*g - 10, 1 = -3*h - 3*g - 5. Suppose h = -5*d + 6 + 4. Determine f, given that 5*f**d - 15*f**2 - 1 + 1 - 5*f**3 = 0.
-2, 0
Let f(i) be the second derivative of i**5/270 + 7*i**4/27 + i**3 + 125*i**2/2 - 105*i. Let n(c) be the first derivative of f(c). Suppose n(s) = 0. What is s?
-27, -1
Let n(q) be the third derivative of -q**7/2520 + q**5/360 - 73*q**3/3 + 136*q**2. Let t(v) be the first derivative of n(v). What is y in t(y) = 0?
-1, 0, 1
Let 0*i + i**4 - 42 + 7 + 43*i**2 - 42*i**3 - 9*i**2 + 36*i + 6*i**3 = 0. What is i?
-1, 1, 35
Suppose -111*m + 102*m = 18. Let i(j) = -4*j**4 - j**3 + 2*j**2 + 3. Let s(d) = -3*d**4 + d**2 + 2. Let t(q) = m*i(q) + 3*s(q). Solve t(o) = 0 for o.
0, 1
Let -6627/2*y**4 - 8/3 + 6439*y**3 - 17641/6*y**2 - 548/3*y = 0. What is y?
-4/141, 1
Let c be ((-1)/2)/((-462)/(-18)). Let y = 113/154 + c. Find r such that 10/7*r**2 - 11/7*r**4 - 2/7*r**3 + 1/7 + r - y*r**5 = 0.
-1, -1/5, 1
Let u(s) be the first derivative of -s**5/15 + 17*s**4/12 + 14*s**3 + 134*s**2/3 + 184*s/3 + 2104. Let u(v) = 0. Calculate v.
-2, 23
Let l(i) = -109*i**2 + 1892*i + 149. Let p(c) = -1196*c**2 + 20812*c + 1640. Let t(z) = -32*l(z) + 3*p(z). Let t(a) = 0. What is a?
-2/25, 19
Let i(t) = t**4 - t + 1. Let f(b) = 8*b**4 - 10*b**3 + 8*b**2 - 6*b + 6. Let v be (-5)/(-1) - (1 + (-1 - 1)). Let p(q) = v*i(q) - f(q). Factor p(u).
-2*u**2*(u - 4)*(u - 1)
Let m(u) = -2*u**2 + u. Let h(i) = -4*i**2 + 32*i - 1. Let d be h(8). Let f(b) = 2*b**3 + 352*b**2 + 20182*b + 390224. Let c(g) = d*f(g) - 2*m(g). Factor c(y).
-2*(y + 58)**3
Let h be ((-19644)/(-72) - 6/(-4)) + 396/66. Factor -58/3*q - h - 1/3*q**2.
-(q + 29)**2/3
Let j(m) = 3*m**3 + 27*m**2 + 1. Let k(l) = 4*l**3 - 233*l**2 + 259*l + 1. Let n(v) = 3*j(v) - 3*k(v). Factor n(o).
-3*o*(o - 259)*(o - 1)
Let h(d) = -22*d**2 - 14*d. Let x(m) = -27*m**2 - 15*m. Let c(p) = 5*h(p) - 4*x(p). Factor c(k).
-2*k*(k + 5)
Let k(o) be the first derivative of -o**5/510 - o**4/102 + 55*o**2/2 + 2*o - 35. Let j(q) be the second derivative of k(q). Suppose j(a) = 0. What is a?
-2, 0
Solve 46/7*r**2 + 8/7*r**3 - 144/7 - 2/7*r**4 - 108/7*r = 0.
-4, -1, 3, 6
Suppose -4 = -c + 1. Suppose 2*u + 2*u - 22 = -3*p, -2*u - 2 = -c*p. Suppose -63 + 30 - 8*z + 45 - u*z**2 = 0. What is z?
-3, 1
Let p(d) be the third derivative of d**6/840 - d**5/70 - d**4/168 + d**3/7 + 4898*d**2. Let p(n) = 0. Calculate n.
-1, 1, 6
Let x(t) be the third derivative of 0 + 0*t**4 - 76*t**2 + 1/240*t**5 + 2*t - 3/8*t**3. Find q, given that x(q) = 0.
-3, 3
Let z(i) be the first derivative of -i**6/360 - i**5/45 - i**4/18 - i**3 - 79*i + 120. Let a(l) be the third derivative of z(l). Find r, given that a(r) = 0.
-2, -2/3
Let b(y) be the second derivative of 11/27*y**3 + 42*y + 0 - 1/108*y**4 - 121/18*y**2. Factor b(l).
-(l - 11)**2/9
Let v(k) = -19*k**3 - 5321*k**2 - 541821*k - 83229. Let t(j) = -17*j**3 - 5316*j**2 - 541822*j - 83230. Let l(s) = -3*t(s) + 2*v(s). Let l(z) = 0. What is z?
-204, -2/13
Let t(x) be the third derivative of 0*x + 5/24*x**4 + 2*x**2 + 0 + x**3 - 1/60*x**5. Factor t(u).
-(u - 6)*(u + 1)
Suppose 0 = 8*t + 2*p + 8 - 14, -4*t = -2*p - 30. Factor -3/2*g - 18*g**t + 0 + 39/4*g**2 + 27/4*g**4.
3*g*(g - 2)*(3*g - 1)**2/4
Let c be ((-279)/(-25) - 11)/((-34)/(-85)). Factor 1444/5 - c*s**3 + 16*s**2 - 874/5*s.
-2*(s - 19)**2*(s - 2)/5
Solve -3/4*i**5 - 33/4*i**4 - 33*i**3 - 36*i - 57*i**2 + 0 = 0 for i.
-4, -3, -2, 0
Factor -732/5 - 2564/5*g - 7/5*g**2.
-(g + 366)*(7*g + 2)/5
Let p be -1*12/(-4 + 0). Let f = p - -13. What is a in -37 + 1 + 1 + 3 - 2*a**2 + f*a = 0?
4
Determine m, given that -30*m**2 - 546*m**2 + 3480*m**3 - 184*m**2 - 504 - 1793*m**4 + 628*m**4 + 35*m**5 - 4240*m + 1704 = 0.
-1, 2/7, 2, 30
Factor 894*w**2 + 1133*w**2 - 40 - 1857*w**2 + 5*w.
5*(2*w + 1)*(17*w - 8)
Let b be 1029/63 + -16 - 47/150. Let m(j) be the first derivative of 8/5*j**2 + 1/5*j**4 + 8/5*j + b*j**5 + 4/5*j**3 - 13. Find k, given that m(k) = 0.
-2
Suppose 9*n**3 + 0*n**3 + 204*n**2 - 117*n - 57*n**2 + 3*n**3 = 0. Calculate n.
-13, 0, 3/4
Let l(k) be the first derivative of -5*k**4/4 - 1775*k**3/3 + 3565*k**2/2 - 1785*k - 1304. Solve l(s) = 0 for s.
-357, 1
Factor -3864*y**2 + 122*y - 28*y + 40 + 7728*y**2 - 3835*y**2 + 2*y**3.
(y + 4)*(y + 10)*(2*y + 1)
Let q be 3*(-152)/72 - (-10 + 3/3). Determine w so that -2/3*w**5 - 38/3*w**3 - 32/3*w + 14/3*w**4 + 50/3*w**2 + q = 0.
1, 2
Factor -90 + 21/2*f**2 + 22*f + 1/2*f**3.
(f - 2)*(f + 5)*(f + 18)/2
Let y(v) = v**3 - 39*v**2 - 43*v + 122. Let s be y(40). Determine n, given that -6071 - 641 + 273*n**s + 364 + 3*n**3 + 2442*n - 1468*n + 5098*n = 0.
-46, 1
Factor 1168/7 + 12/7*c**2 + 1760/7*c.
4*(c + 146)*(3*c + 2)/7
Let n(s) be the second derivative of -s**5/190 - 49*s**4/114 + s**3/57 + 49*s**2/19 - 4479*s. What is l in n(l) = 0?
-49, -1, 1
Suppose -1598472/5 - 2/5*z**2 + 3576/5*z = 0. Calculate z.
894
Factor 356670*i**2 - 33483/2*i**3 - 3/2*i**5 + 273*i**4 - 664200*i + 324000.
-3*(i - 60)**3*(i - 1)**2/2
Suppose -2*r + 24 = 10*r. Let q(f) be the first derivative of 2 - 8/3*f**r + 1/2*f**4 + 2/9*f**3 + 8/3*f. Find v, given that q(v) = 0.
-2, 2/3, 1
Let s(i) be the first derivative of 19*i**5/10 + 6*i**4 - 4*i**3/3 - 61*i + 70. Let f(u) be the first derivative of s(u). Let f(h) = 0. Calculate h.
-2, 0, 2/19
Let f be (100 - (27 - -14)) + -56. Factor -b**f + 29/3*b**2 - 25/3 - 65/3*b.
-(b - 5)**2*(3*b + 1)/3
Let g(w) be the second derivative of w**4/4 + 139*w**3/2 + 612*w**2 + 584*w - 5. Factor g(i).
3*(i + 3)*(i + 136)
Let a(h) = 2 + 2