vative of t**9/3024 + t**8/672 - 5*t**4/6 - 14*t. Let l(c) be the third derivative of p(c). Solve l(o) = 0 for o.
-2, 0
Suppose 100 = 24*n + 10*n + 16*n. Solve 5/2*f**n - 3 - 13/2*f = 0 for f.
-2/5, 3
Let l be 226*-1*(-9 - (-147)/14)/(-9). Let 37*p - l*p**2 - 6 - 5/3*p**4 + 41/3*p**3 = 0. What is p?
1/5, 2, 3
Solve -284/7*d**2 + 16 + 172/7*d**4 - 36/7*d**3 - 12/7*d**5 + 48/7*d = 0.
-1, -2/3, 1, 14
Let n = 0 - -5. Suppose u + 0 = n. Let -2*d**3 + 0*d**u + 6*d**4 - 16*d**4 + 6*d**3 - 14*d**5 = 0. Calculate d.
-1, 0, 2/7
Let d(o) be the third derivative of o**6/240 - o**5/120 - 5*o**4/48 - o**3/4 + 64*o**2. Factor d(w).
(w - 3)*(w + 1)**2/2
Let g(o) = -5*o**2 + 9*o - 11. Let l = -28 - -31. Let h(r) = 2*r**2 - 4*r + 5. Let x(d) = l*g(d) + 7*h(d). Factor x(i).
-(i - 1)*(i + 2)
Let t(x) = 4*x**3 - 9*x**2 + 27*x. Let d(j) = -11*j**3 + 20*j**2 - 81*j. Let i(m) = 3*d(m) + 8*t(m). Let i(h) = 0. What is h?
-9, -3, 0
Let s be 5/((-10)/(-16)) + -2. Suppose 5*u - d - 2*d = 3, 4*u = -d + 16. Solve 36*i + s - 12*i**3 - u*i**3 + 9*i**2 + 6 = 0 for i.
-1, -2/5, 2
Let f(n) = 5*n - 30. Let l be f(6). Factor 4*s**4 + 2*s**5 + 26*s**2 - 2*s**3 + l*s**4 - 30*s**2.
2*s**2*(s - 1)*(s + 1)*(s + 2)
Factor -8*b - 4*b**2 + 15/2*b**3 + 4*b**4 + 0 + 1/2*b**5.
b*(b - 1)*(b + 1)*(b + 4)**2/2
Factor 2/7*a + 12 - 2/7*a**2.
-2*(a - 7)*(a + 6)/7
Let d = -311/23155 + -2/421. Let j = 2477/110 + d. Let j*c**2 + 5 + 5/2*c**4 + 25/2*c**3 + 35/2*c = 0. Calculate c.
-2, -1
Let b = -12267 - -12270. Factor -32/5*u + 0 - 16/5*u**2 - 2/5*u**b.
-2*u*(u + 4)**2/5
Suppose 0 + 96/13*o - 2/13*o**3 + 94/13*o**2 = 0. Calculate o.
-1, 0, 48
Let c(t) = -11*t**2 - 12*t - 20. Let v be (-7 + 7)/(-3 - -1). Let g = -5 + v. Let m(h) = 7*h**2 + 8*h + 13. Let n(i) = g*c(i) - 8*m(i). Factor n(f).
-(f + 2)**2
Let j(z) be the first derivative of 1/30*z**5 + 0*z**3 + 1/36*z**4 - 3*z - 4 + 0*z**2 + 1/90*z**6. Let w(u) be the first derivative of j(u). Factor w(d).
d**2*(d + 1)**2/3
Let m = -1144 - -1146. Let 0*u + 32/5*u**4 + 4/5*u**m + 16/5*u**5 + 0 + 4*u**3 = 0. Calculate u.
-1, -1/2, 0
Let v(s) be the third derivative of s**5/240 + 11*s**4/12 + 29*s**3/8 + 3*s**2 + 119*s. Factor v(r).
(r + 1)*(r + 87)/4
Find q such that -138 - 81/2*q - 3/2*q**2 = 0.
-23, -4
Let t(p) be the first derivative of -19 + 1/24*p**4 - 1/3*p + 5/12*p**2 - 2/9*p**3. Let t(u) = 0. What is u?
1, 2
Let u = 3091 - 3089. Suppose 142/17*w**3 + 40/17*w**4 - 220/17*w**u + 104/17*w - 16/17 - 50/17*w**5 = 0. Calculate w.
-2, 2/5, 1
Find d, given that 2/11*d**3 + 40/11*d**2 + 4 - 86/11*d = 0.
-22, 1
Let d(l) be the second derivative of l**7/168 - l**5/80 + 87*l. Solve d(a) = 0 for a.
-1, 0, 1
Let t(g) be the second derivative of g**4/27 - 34*g**3/27 - g + 53. Factor t(z).
4*z*(z - 17)/9
Let h(o) be the third derivative of o**5/30 - 4*o**4/3 + 5*o**3 + 140*o**2. Factor h(c).
2*(c - 15)*(c - 1)
Suppose 0 = 5*q - 10*q + 130. Suppose -2*o + q = -5*f, 0 = o + 2*f - 6*f - 19. Solve -a**2 + 3*a**2 + 4*a - 5*a**3 - 6*a**4 - 3*a**o = 0.
-1, 0, 2/3
Suppose -437*n = -424*n. Solve 4/7*s**3 + 1/7*s**4 + n - 5/7*s**2 + 0*s = 0.
-5, 0, 1
Let a(i) be the second derivative of -i**5/450 - i**4/30 + 9*i**2 + 18*i. Let m(n) be the first derivative of a(n). Factor m(r).
-2*r*(r + 6)/15
Let y(k) = -57*k**3 - k**2 + 65*k + 9. Let q(x) = -14*x**3 + 16*x + 2. Let p(o) = 9*q(o) - 2*y(o). Factor p(w).
-2*w*(w + 1)*(6*w - 7)
Let l(o) be the second derivative of 1/10*o**5 + 0 + 0*o**2 - 1/6*o**4 + 1/15*o**6 + 0*o**3 - 1/21*o**7 - o. Factor l(c).
-2*c**2*(c - 1)**2*(c + 1)
Let r(p) be the second derivative of 0*p**5 + 0 + 1/6*p**4 + 4*p + 0*p**3 - 1/15*p**6 + 0*p**2. Factor r(g).
-2*g**2*(g - 1)*(g + 1)
Let y(a) be the first derivative of -a**8/168 + 2*a**7/105 - a**5/15 + a**4/12 - 8*a**2 - 3. Let n(f) be the second derivative of y(f). Factor n(r).
-2*r*(r - 1)**3*(r + 1)
Let y = 59 + -21. Factor -y + 29 - 41*v**2 - 18*v**3 - 30*v + 0*v**4 + 5*v**2 - 3*v**4.
-3*(v + 1)**3*(v + 3)
Let v(t) be the first derivative of t**7/840 + t**6/90 - t**3/3 + 35. Let n(a) be the third derivative of v(a). Determine u so that n(u) = 0.
-4, 0
Suppose 335 = 26*i - 237. Suppose b + 5*j + i = 0, 3*j + 19 = -b + 7. What is s in -6*s**2 - 50 + 2/5*s**b + 30*s = 0?
5
Factor -6*s**3 - s**3 + 3*s**3 + 6*s**3.
2*s**3
Let j(w) = -w**2 - 2*w. Let m be j(-2). Let l be (-3)/30*(-8 - 0 - -4). Factor -l*v**3 + m + 2/5*v**2 + 0*v.
-2*v**2*(v - 1)/5
Let n(l) be the third derivative of l**7/735 + l**6/70 + 13*l**5/210 + l**4/7 + 4*l**3/21 + 119*l**2. Solve n(x) = 0 for x.
-2, -1
Let r = -9038 - -43776/5. Let f = r - -284. Factor -4/5 - 2/5*m**2 - f*m.
-2*(m + 1)*(m + 2)/5
Let u(q) be the third derivative of q**8/672 - q**7/252 - 11*q**6/720 + q**5/40 + q**4/9 + q**3/9 + 23*q**2 + q. Suppose u(s) = 0. What is s?
-1, -1/3, 2
Let f(r) = 22*r**3 + 150*r**2 + 644*r + 710. Let j(l) = -8*l**3 - 50*l**2 - 214*l - 237. Let b(s) = -5*f(s) - 14*j(s). Factor b(u).
2*(u - 29)*(u + 2)**2
Let l(k) = 7*k**2 + 257*k - 72. Let n be l(-37). Factor -2/3*o + 4*o**3 - 10/3*o**n + 0.
2*o*(o - 1)*(6*o + 1)/3
Factor 8/3*j**2 + 4/3*j**3 - 8 - 20/3*j.
4*(j - 2)*(j + 1)*(j + 3)/3
Suppose -2*u - 58 = -0*h - 5*h, 4*u - h = -80. Let k = 22 + u. Factor -k*t**3 - 3*t**4 + 0*t**3 - 3*t**3 + 0*t**3.
-3*t**3*(t + 2)
Let n = -12 - -145/12. Let b(o) be the second derivative of 1/2*o**2 + 4*o - n*o**4 + 0 + 0*o**3. Find p such that b(p) = 0.
-1, 1
Factor 12/5*y**3 + 2/5*y**4 - 48/5*y - 72/5 + 2*y**2.
2*(y - 2)*(y + 2)*(y + 3)**2/5
Factor 160*d - 384 - 120*d**2 - 29*d**3 + 11*d**3 + 144*d**2 + 2*d**4.
2*(d - 4)**3*(d + 3)
Let v(s) be the third derivative of -s**8/84 + 114*s**7/35 - 7223*s**6/30 - 7567*s**5/15 + 1204*s**4 + 14792*s**3/3 - 271*s**2. Determine u so that v(u) = 0.
-1, 1, 86
Let g(w) be the second derivative of -w**8/13440 - w**7/840 - w**6/120 - w**5/30 + 11*w**4/12 - 33*w. Let s(o) be the third derivative of g(o). Factor s(l).
-(l + 2)**3/2
Suppose 0 = -4*x - 0*x - 12, -4*y = -5*x - 79. Suppose -18*v = -y*v - 4. Determine r so that 4/9*r - 2/3*r**v + 2/9 = 0.
-1/3, 1
Let s(r) be the first derivative of 14 - 8/9*r + 2/9*r**2 - 1/9*r**4 + 8/27*r**3. Solve s(b) = 0.
-1, 1, 2
Let w(m) be the third derivative of -1/14*m**6 + 1/21*m**4 + 0 + 0*m - 1/105*m**5 - 1/84*m**8 + 0*m**3 - 38/735*m**7 + m**2. Factor w(x).
-4*x*(x + 1)**3*(7*x - 2)/7
Let w(r) be the second derivative of 0*r**4 + r + 0*r**3 - 1/10*r**5 - 1/70*r**7 + r**2 - 3/40*r**6 + 0. Let f(o) be the first derivative of w(o). Factor f(q).
-3*q**2*(q + 1)*(q + 2)
Factor 822 - 220*h + 1952 + 5*h**2 - 354.
5*(h - 22)**2
Let q = 9657372/607 - 15910. Let d = 1204/3035 + q. What is v in 1/5*v**3 + d*v**2 + 1/5*v + 0 = 0?
-1, 0
Let t(m) be the first derivative of 4/5*m**5 + 0*m + 14 + 4/3*m**3 + 0*m**2 + 2*m**4. Factor t(p).
4*p**2*(p + 1)**2
Let w(o) be the second derivative of 38*o + 0*o**2 + 0*o**3 - 3/20*o**5 - 1/2*o**4 + 0. Suppose w(p) = 0. What is p?
-2, 0
Suppose -2*k - 9*k = -55. Suppose k*v - v + v + 30 + 22*v - 3*v**2 = 0. What is v?
-1, 10
Let z be ((-9)/(-6) + -3)*(132/(-45))/11. Let 0*d + z*d**2 - 8/5 = 0. What is d?
-2, 2
Let d(k) be the second derivative of k**4/6 + 268*k**3/3 + 17956*k**2 + k + 35. Factor d(i).
2*(i + 134)**2
Let z(b) be the second derivative of -20*b - 65/12*b**4 + 0 - 9/4*b**5 + 30*b**2 + 20/3*b**3 + 1/6*b**6 + 5/42*b**7. Solve z(t) = 0 for t.
-2, -1, 1, 3
Let i = -1408 + 1410. Let -2/5 - 2/5*p**i - 4/5*p = 0. Calculate p.
-1
Suppose 12/13*i**3 + 2/13*i**4 + 0 - 18/13*i**2 - 28/13*i = 0. What is i?
-7, -1, 0, 2
Factor 30/7*p - 27/7 - 3/7*p**2.
-3*(p - 9)*(p - 1)/7
Let c = -809/186 - -13/3. Let f = c - -33/124. Factor -1/2*v + f*v**2 + 1/4*v**3 + 0.
v*(v - 1)*(v + 2)/4
Let f(h) = -h**2 - 6*h - 4. Let d be f(-5). Let r(y) = 14*y - 2. Let l be r(d). Suppose -12 + 4*m**2 - 13 + 25 + l*m = 0. Calculate m.
-3, 0
Let j be ((-2 + 2)/(-3))/1. Let t(d) = 36*d - 72. Let x be t(2). Factor j + 2/9*b**2 + x*b.
2*b**2/9
Let v = -413/2 + 1243/6. Factor v*i**3 + 0 + 2/9*i**4 + 4/9*i**2 + 0*i.
2*i**2*(i + 1)*(i + 2)/9
Let i be (-2 - -4) + 2526/2. Suppose -1351 = -4*y - 3*c, -i = -3*y + 2*c - 256. Factor -10*j - y - 15*j**2 + 337.
-5*j*(3*j + 2)
Let n be (-11)/7 - (-21 + 22)/(2/(-10)). Factor -64/7*k + 8/7*k**3 + n*k**2 - 2/7*k**4 - 128/7.
-2*(k - 4)**2*(k + 2)**2/7
Le