2/7, 1
Let y(u) be the third derivative of -u**7/504 + u**6/144 + u**4/8 - 11*u**3/6 + 4*u**2 - 3. Let g(x) be the second derivative of y(x). Factor g(r).
-5*r*(r - 1)
Let p(h) be the first derivative of 3*h**4/4 + 25*h**3/4 - 33*h**2/4 - 21*h/4 - 116. What is c in p(c) = 0?
-7, -1/4, 1
Let l(g) be the first derivative of -g**9/1512 - g**8/840 + g**7/420 + g**6/180 - 16*g**3/3 - 4. Let a(q) be the third derivative of l(q). Factor a(o).
-2*o**2*(o - 1)*(o + 1)**2
Let k(l) be the second derivative of 5/6*l**3 + 0 + l**5 + 0*l**2 + 5/3*l**4 + 27*l. Factor k(c).
5*c*(2*c + 1)**2
Let w(a) be the third derivative of -a**9/1008 + a**7/140 - a**5/40 - 2*a**3/3 - 21*a**2. Let o(f) be the first derivative of w(f). Let o(g) = 0. Calculate g.
-1, 0, 1
Let d = -366 - -368. Let k(b) be the first derivative of -2/5*b**5 + 4/3*b**3 + 0*b**d + 0*b**4 + 3 - 2*b. Suppose k(j) = 0. Calculate j.
-1, 1
Suppose 0 = q - 2*n + 10, 3*q - 14*n - 15 = -17*n. What is v in 0 + q*v + 15/2*v**4 + 9/2*v**5 - 3/2*v**2 + 3/2*v**3 = 0?
-1, 0, 1/3
Let t = 15320 + -15317. Suppose -2/11 - 14/11*u + 32/11*u**t - 16/11*u**2 = 0. What is u?
-1/4, 1
Let d(o) be the second derivative of -o**8/2240 + 3*o**7/1120 - o**6/240 - 7*o**3/6 - 20*o. Let q(w) be the second derivative of d(w). Factor q(s).
-3*s**2*(s - 2)*(s - 1)/4
Let a = -27703/1230 + -19/246. Let q = 23 + a. Factor -6/5*c**2 - 6/5*c**3 - q*c**4 + 0 - 2/5*c.
-2*c*(c + 1)**3/5
Let k(v) be the second derivative of 0*v**5 + 1/60*v**6 + 0 + 14*v - 1/24*v**4 + 0*v**3 + 0*v**2. Determine j, given that k(j) = 0.
-1, 0, 1
Suppose 0 = 10*g - 67 - 33. Let u(z) be the second derivative of 10*z**5 + 4*z**2 + 0 - z + g*z**3 + 40/3*z**4 + 4*z**6 + 2/3*z**7. Factor u(q).
4*(q + 1)**4*(7*q + 2)
Let a(n) be the second derivative of -2*n**7/21 - 4*n**6/3 - 33*n**5/5 - 40*n**4/3 - 32*n**3/3 - 88*n. Factor a(p).
-4*p*(p + 1)**2*(p + 4)**2
Factor 6/5*a**4 + 18/5 - 3/5*a**5 + 96/5*a**2 + 69/5*a + 54/5*a**3.
-3*(a - 6)*(a + 1)**4/5
Solve 0*l**5 + 17*l**3 - 4*l**5 - 12*l**3 - l**5 = 0 for l.
-1, 0, 1
Let f = 6870 + -6868. Factor -2/3*w**f - 16/3*w + 0.
-2*w*(w + 8)/3
Let b(u) be the first derivative of -u**8/840 - u**7/105 - u**6/45 + 5*u**3/3 - 5*u**2/2 - 4. Let o(s) be the third derivative of b(s). Factor o(f).
-2*f**2*(f + 2)**2
Let f(g) be the second derivative of g**6/24 + g**5/4 + 25*g**4/48 + 5*g**3/12 - 279*g. Factor f(y).
5*y*(y + 1)**2*(y + 2)/4
What is b in -1/5*b**4 + 13/5*b**2 + 0 + 0*b**3 + 12/5*b = 0?
-3, -1, 0, 4
Let h(u) be the second derivative of -u**5/40 - u**4/24 + 7*u**3/6 + 6*u**2 + 190*u. Factor h(s).
-(s - 4)*(s + 2)*(s + 3)/2
Let n be (-6)/(-9) - 236/(-6). Suppose 9*g = g + n. Factor -3*d**4 - 3/4*d - d**3 + 7/4*d**g - 1/2 + 7/2*d**2.
(d - 1)**3*(d + 1)*(7*d + 2)/4
Let z(c) be the third derivative of -c**6/80 - 27*c**5/40 - 27*c**4/2 - 108*c**3 - 281*c**2 - 1. Factor z(t).
-3*(t + 3)*(t + 12)**2/2
Let w be (-2 - -1)*(-4 - (3 - 14)). Let g be (w + 5 - -1) + 6/2. Determine x, given that -1/3*x + 1/3*x**g - 2/3 = 0.
-1, 2
Let s(q) be the first derivative of -q**6/6 - q**5 - 5*q**4/2 - 10*q**3/3 - 5*q**2/2 - q - 69. Determine j so that s(j) = 0.
-1
Let j(q) be the second derivative of q**4/6 - q**3/3 - 12*q**2 - 131*q. Factor j(s).
2*(s - 4)*(s + 3)
Let g be ((-576)/(-12))/(-12) + 33/(-24)*-7. Factor -g*j**3 - 3/4*j + 0 + 27/8*j**2 + 33/8*j**4 - 9/8*j**5.
-3*j*(j - 1)**3*(3*j - 2)/8
Let m(k) be the third derivative of -k**6/120 - k**5/15 + k**4/2 - 115*k**2 + 2*k. Suppose m(a) = 0. What is a?
-6, 0, 2
Let d(i) be the second derivative of i**4/21 + 58*i**3/21 - 60*i**2/7 + 39*i. Factor d(a).
4*(a - 1)*(a + 30)/7
Suppose -v + 0*v + 3 = 0. Suppose -v*i = -c - 1, 0*i = 3*c - 2*i - 4. Factor -3 + 17*y - 15*y - 2*y**c + 7.
-2*(y - 2)*(y + 1)
Let n(s) be the second derivative of -1/140*s**5 - 1/7*s**2 + 1/42*s**4 + 27*s + 1/42*s**3 + 0. Let n(p) = 0. Calculate p.
-1, 1, 2
Let f be (-102)/(-5)*(-35)/(-21). Let i be 72/f - (-4)/(-34). Factor -3/5*t**i + 2/5 + 1/5*t.
-(t - 1)*(3*t + 2)/5
Let t = 22 - 16. Suppose b + t = 4*b. Factor -2*l + b - 2 - 3*l**2 - l**3.
-l*(l + 1)*(l + 2)
Let p(y) be the third derivative of y**6/180 - 8*y**5/45 + 5*y**4/4 + 18*y**3 + 18*y**2 - 7*y. Determine q, given that p(q) = 0.
-2, 9
Let q = -159/1079 - -25/83. Solve 4/13*z**3 - 8/13 - q*z**4 - 8/13*z + 6/13*z**2 = 0.
-1, 2
Let s = 1434 - 10030/7. Factor -2/7*t**3 + 8/7*t**2 + 0 - s*t.
-2*t*(t - 2)**2/7
Let z = 36 + -31. Solve 5*b**2 - 15*b + 5 - z = 0 for b.
0, 3
Solve 7*n**3 + 6*n**5 + 5*n**4 - 13*n**4 + n**3 - 4*n**5 = 0 for n.
0, 2
Suppose 0 = -2*z - 4*h - 8, 2*z - 2*h + h = 7. Let p(q) be the third derivative of 1/60*q**6 + 0*q + 0*q**3 + 1/48*q**4 + 1/30*q**5 + 0 - z*q**2. Factor p(f).
f*(2*f + 1)**2/2
Let x = -145 + 145. Suppose -4*q = -y + 16, 2*q = y - x*q - 8. Factor 0 + 1/6*o**2 + y*o + 1/6*o**4 + 1/3*o**3.
o**2*(o + 1)**2/6
Let g(t) be the second derivative of -2*t**6/15 - 7*t**5/5 - 11*t**4/3 - 10*t**3/3 - 172*t. Factor g(j).
-4*j*(j + 1)**2*(j + 5)
Let v = -1361 + 65333/48. Let c(z) be the second derivative of v*z**4 - z + 1/80*z**5 + 3/8*z**2 + 7/24*z**3 + 0. Factor c(a).
(a + 1)**2*(a + 3)/4
Let d(a) be the second derivative of a**9/3024 + a**8/1344 - 19*a**4/12 + 14*a. Let t(y) be the third derivative of d(y). Let t(v) = 0. Calculate v.
-1, 0
Suppose -1 = 4*z + n, 60*z - 57*z = -5*n - 5. Factor z*h + 1/2*h**2 + 1/4*h**5 - 1/2*h**4 - 1/4*h**3 + 0.
h**2*(h - 2)*(h - 1)*(h + 1)/4
Let l(v) be the third derivative of -1/120*v**5 + 1/48*v**4 + 0*v - 45*v**2 + 0 + 0*v**3. Factor l(d).
-d*(d - 1)/2
Let q(k) = -k**4 + 31*k**3 - 61*k**2 + 36*k. Let u(p) = -p**4 + 46*p**3 - 91*p**2 + 54*p. Let x(i) = -8*q(i) + 5*u(i). Solve x(y) = 0 for y.
0, 1, 2, 3
Let l(z) = -2*z**3 - 8*z**2 + 4*z. Let x(u) be the first derivative of -u**4/4 + 8. Let o(i) = -l(i) + 6*x(i). Factor o(w).
-4*w*(w - 1)**2
Let n(i) be the first derivative of -i**6/21 - 18*i**5/5 - 736*i**4/7 - 29696*i**3/21 - 49152*i**2/7 + 131072*i/7 + 705. Factor n(y).
-2*(y - 1)*(y + 16)**4/7
Let k = 184 - 43. Find q, given that 15*q + 5*q**3 - k + 73 + 73 + 15*q**2 = 0.
-1
Let d(o) be the third derivative of 0*o**7 + 0*o**3 + 0*o - 1/570*o**6 + 1/228*o**4 + 0*o**5 + 16*o**2 + 1/3192*o**8 + 0. Factor d(m).
2*m*(m - 1)**2*(m + 1)**2/19
Let o(i) = -i**2 - 9*i - 11. Let m be o(-6). Suppose m*p + 3*j = 3*p + 8, -1 = 3*p + 4*j. Factor 0*n + n**4 + 0*n**2 - 1/2*n**p + 0 + 0*n**3.
-n**4*(n - 2)/2
Let w = -28/1623 + -559366/1623. Let o = 348 + w. Factor o*k + 2/3*k**4 - 2*k**2 - 2/3*k**3 - 4/3.
2*(k - 1)**3*(k + 2)/3
Let m(p) = 26*p**2 - 198*p - 77. Let x be m(8). Factor -224/5*n**x - 16/5 - 128/5*n - 49/5*n**4 - 312/5*n**2.
-(n + 2)**2*(7*n + 2)**2/5
Let a(f) be the first derivative of f**8/336 - f**7/168 - f**6/72 + f**5/24 - 6*f**3 + 18. Let c(k) be the third derivative of a(k). Solve c(t) = 0.
-1, 0, 1
Suppose 195*y + y**2 + 2 - 200*y + 3 - 1 = 0. Calculate y.
1, 4
Let o(t) = -3262*t + 6526. Let d be o(2). Factor -2/15*n**3 + 0*n**d + 2/5*n + 4/15.
-2*(n - 2)*(n + 1)**2/15
Let z(y) be the first derivative of 0*y + 3/4*y**4 + 13 - 3/2*y**3 + 3/4*y**2. Solve z(w) = 0.
0, 1/2, 1
Let q(b) = b**2 + b + 1. Let c(h) = h**2 - 17*h + 2. Let r(f) = -c(f) + 2*q(f). Suppose r(l) = 0. What is l?
-19, 0
Let y(m) be the third derivative of 0*m - 5/32*m**4 - 29*m**2 + 3/80*m**6 - 3/8*m**3 - 1/448*m**8 + 0 + 1/280*m**7 + 1/40*m**5. Let y(n) = 0. What is n?
-1, 1, 3
Let d = -8123 + 8128. Let 3/2*h + 3*h**4 + 6*h**3 + 5*h**2 + 0 + 1/2*h**d = 0. What is h?
-3, -1, 0
Suppose -5*p - 4*k = k, -4*p = -3*k - 21. Factor w**3 - 4*w**4 + 2*w + 8*w**2 - 4*w**4 - 3*w**p.
-2*w*(w - 1)*(w + 1)*(4*w + 1)
Let s(l) be the first derivative of -4*l + 26/3*l**2 + l**3 + 50. Factor s(r).
(r + 6)*(9*r - 2)/3
Let z = 26 + -9. Solve -v**2 - 3114*v**5 + 4 + 3109*v**5 + z*v**3 - 12*v - 4*v**4 + v**4 = 0.
-2, -1, 2/5, 1
Let d(t) be the first derivative of -t**5 + 5*t**4 + 5*t**3/3 - 40*t**2 + 60*t - 11. Suppose d(q) = 0. Calculate q.
-2, 1, 2, 3
Let t = -6/1597 - -22448/23955. Factor -t*z**2 + 0 + 4/15*z.
-2*z*(7*z - 2)/15
Let f(a) be the third derivative of -a**5/300 + 17*a**4/60 - 289*a**3/30 + 2*a**2 - 31. Let f(c) = 0. What is c?
17
Let y(l) be the third derivative of -l**6/120 + 7*l**5/30 - 35*l**4/24 + 11*l**3/3 - 151*l**2. Factor y(m).
-(m -