 + 1)
Let w(h) be the second derivative of -h**7/840 + h**6/30 - 2*h**5/5 + 4*h**4/3 + 26*h. Let n(t) be the third derivative of w(t). Factor n(o).
-3*(o - 4)**2
Let f(g) be the first derivative of 14 + 2/3*g**3 - 2*g**2 + 0*g. Factor f(t).
2*t*(t - 2)
Let u be (2 - -1) + -2 + -7. Let b be (-12)/25*((-16)/(-6) + u). Solve b - 8/5*w + 2/5*w**2 = 0 for w.
2
Let y(c) be the first derivative of -4*c**3/3 + 52*c**2 - 100*c + 71. Find b, given that y(b) = 0.
1, 25
Let v = -2221/9 - -247. Let w(t) be the first derivative of 2/3*t**2 + v*t**3 - 1/2*t**4 + 1/9*t**6 - 5 + 0*t - 2/15*t**5. Solve w(y) = 0.
-1, 0, 1, 2
Let o(g) = -2*g**2 - 108*g + 3. Let c be o(-54). Let a = -7 + 15/2. Factor -1 + 5/2*s + 1/2*s**4 - a*s**c - 3/2*s**2.
(s - 1)**3*(s + 2)/2
Let v(h) be the first derivative of -8/3*h**3 + 17/2*h**2 + 43 + 1/4*h**4 - 10*h. Find p such that v(p) = 0.
1, 2, 5
Suppose -11*z = 2*c - 14*z + 18, 2*c = -2*z + 12. Factor c + 2/3*a**2 + 0*a.
2*a**2/3
Let b(w) = 2*w**4 - 18*w**3 - 2*w**2 - 38*w + 64. Let f(z) = z**3 - z**2 + z. Let t(r) = 2*b(r) + 44*f(r). What is y in t(y) = 0?
-4, -2, 2
Let z(g) be the first derivative of -2*g**3/15 - 16*g**2 - 640*g + 132. Factor z(a).
-2*(a + 40)**2/5
Let o = -2335 - -2337. Determine t, given that 23/4*t**o + 3/4*t**4 - 25/2 - 145/4*t + 25/4*t**3 = 0.
-5, -1/3, 2
Let v = 1385/7073 - 9/643. Find q such that 8/11*q**4 + 0 - v*q**3 + 2/11*q - 8/11*q**2 = 0.
-1, 0, 1/4, 1
Determine b, given that 15*b**2 - 33502 - 700*b + 9002 - 20*b**2 = 0.
-70
Let l(f) be the first derivative of 1/2700*f**6 + 1/225*f**5 + 4/3*f**3 + 1/45*f**4 + 0*f**2 + 0*f - 5. Let k(x) be the third derivative of l(x). Factor k(q).
2*(q + 2)**2/15
Let m(f) be the second derivative of f**5/80 + 7*f**4/24 + 49*f**3/24 - 301*f. Factor m(g).
g*(g + 7)**2/4
Suppose -151*y + 146*y = -2*c - 16, y - 3*c = 11. Factor 3*v**2 + y + 9/2*v + 1/2*v**3.
(v + 1)**2*(v + 4)/2
Let c = 6163 + -12325/2. What is g in 1/2*g - 1/2*g**2 + 1/2 - c*g**3 = 0?
-1, 1
Let w be (-1 + 4 + 2)*1. Suppose 0 = -27*c + 983 - 11. Factor 9*r**2 - 3/2*r**3 - 24*r**w - 3/2*r - c*r**4 + 0.
-3*r*(r + 1)**2*(4*r - 1)**2/2
Let k be (7 - (-3968)/(-564))/((-2)/40). Let v = -2/47 + k. Solve v*b**5 + 0 + 2/3*b + 0*b**2 + 0*b**4 - 4/3*b**3 = 0.
-1, 0, 1
Let c = 143 + -140. Let i(z) be the third derivative of 1/6*z**4 + 0*z + 1/45*z**6 + 0 + 1/9*z**c + 1/10*z**5 - 4*z**2. Solve i(k) = 0 for k.
-1, -1/4
Let d(s) = 2*s**2 + 114*s - 1078. Let v(m) = -m**2 - 114*m + 1079. Let j(f) = 4*d(f) + 5*v(f). Factor j(i).
3*(i - 19)**2
Let n(q) = 4*q**4 + 2*q**3 + 2*q**2 - 5*q. Let a(k) = -k**4 - k**2 + k. Let p = 16 + -17. Let u(x) = p*n(x) - 3*a(x). Factor u(m).
-m*(m - 1)*(m + 1)*(m + 2)
Let s = -4 - -6. Factor -5*q**2 + 4*q**s + q**4 - 4*q**3 + q**5 + 3*q**3.
q**2*(q - 1)*(q + 1)**2
Factor -39*a - 21 + 32*a - 19 + 47*a + 175*a**2 + 170*a + 30*a**3.
5*(a + 2)*(a + 4)*(6*a - 1)
Factor -2/3*q**2 - 8*q + 0.
-2*q*(q + 12)/3
Suppose 10/7*f - 25/7 - 1/7*f**2 = 0. Calculate f.
5
Let k(m) = -3121*m**2 + 254*m + 3. Let s(x) = x**2 + x + 2. Let r(u) = k(u) - 4*s(u). Determine v, given that r(v) = 0.
1/25
Let n(v) be the second derivative of -5*v**4/36 - 10*v**3/9 - 5*v**2/2 - 297*v - 1. Let n(o) = 0. What is o?
-3, -1
Let v = -85 + 87. Factor -4*l + 8*l**v - 3*l**5 - 8*l**4 - 11*l**5 + 18*l**5.
4*l*(l - 1)**3*(l + 1)
Let j(r) = 6*r**5 - 2*r**4 + 14*r**3 + 18*r**2 + 4*r - 8. Let n(k) = -k**5 - k**3 - k**2 + 1. Let d(m) = j(m) + 8*n(m). Determine a, given that d(a) = 0.
-1, 0, 2
Let u(i) be the third derivative of 1/80*i**6 - 1/8*i**5 + 0*i**3 + 3/8*i**4 + 0 + 0*i + 12*i**2. Factor u(l).
3*l*(l - 3)*(l - 2)/2
Let w(a) be the first derivative of a**6/120 + a**5/10 - 5*a**4/8 - 26*a**3/3 + 16. Let l(k) be the third derivative of w(k). Suppose l(u) = 0. Calculate u.
-5, 1
Let c(f) be the third derivative of f**8/1008 + f**7/210 - 69*f**2. Factor c(p).
p**4*(p + 3)/3
Suppose -140 = -2*d - 2*j, 2*d - 3*j - 192 = -52. Let a be (-32)/(-40) - (-34)/d. What is o in 0 - 6/7*o**3 + 12/7*o**2 - 3/7*o - 12/7*o**4 + a*o**5 = 0?
-1, 0, 1/3, 1
Let z be 3 + 5 + -1 - 3. Suppose 16*d**z - 2*d**5 - 44*d**4 + 26*d**4 = 0. What is d?
-1, 0
Let j be (-2)/10 + (46/(-30))/(-1). Let i = -2810/3 + 938. Factor -i*r**2 + 8/3 + j*r.
-4*(r - 2)*(r + 1)/3
Let k = -21 + 32. Suppose 0 = -4*j + 1 + k. Solve -3/2*s + 3/2*s**2 - 1/2*s**j + 1/2 = 0.
1
Let r be 6/(-4)*(-12)/54. Let n(h) be the second derivative of -3/2*h**2 + 1/12*h**4 - r*h**3 + 0 + 3*h. Determine q, given that n(q) = 0.
-1, 3
Let m be 34/6 + -1 + (2 - 4). Let f be -1 - (3 - 8) - 0. Solve -8/3*c**3 - m*c + 2/3 + 2/3*c**f + 4*c**2 = 0 for c.
1
Let f(d) be the third derivative of -d**6/120 + 3*d**5/20 + 17*d**4/12 + 4*d**3 - 136*d**2. Find c such that f(c) = 0.
-2, -1, 12
Let v(u) be the third derivative of -1/360*u**6 - 1/12*u**4 + 0*u + 0 - 3*u**2 - 1/40*u**5 - u**3. Let i(q) be the first derivative of v(q). Factor i(f).
-(f + 1)*(f + 2)
Let b(f) be the third derivative of -1/60*f**6 - 2/15*f**5 + 0*f**3 + 20*f**2 + 0 + 0*f - 1/4*f**4. Find r, given that b(r) = 0.
-3, -1, 0
Let k(g) be the third derivative of -g**6/480 - g**5/60 + 5*g**4/32 + 3*g**3/4 - 397*g**2. Factor k(p).
-(p - 3)*(p + 1)*(p + 6)/4
Let z(m) be the third derivative of -m**8/240 + 31*m**7/350 - 257*m**6/600 + 283*m**5/300 - 11*m**4/10 + 2*m**3/3 + 59*m**2. Let z(g) = 0. Calculate g.
2/7, 1, 10
What is k in -121/10 - 132/5*k - 12/5*k**3 - 83/5*k**2 - 1/10*k**4 = 0?
-11, -1
Let k = -882 - -882. Solve 0*c**2 - 3/2*c**4 + 0 + k*c + 3/2*c**3 = 0 for c.
0, 1
Let c(j) be the first derivative of 0*j + 16 + 0*j**2 - 1/5*j**5 + 0*j**3 - 1/4*j**4. Solve c(p) = 0.
-1, 0
Let q(b) be the first derivative of 8/5*b**2 + 27 - 16/5*b + 1/40*b**4 - 1/3*b**3. Factor q(o).
(o - 4)**2*(o - 2)/10
Let g(m) = -32*m**3 - 168*m**2 + 266*m - 60. Let b(d) = 65*d**3 + 335*d**2 - 530*d + 120. Let y(s) = -3*b(s) - 5*g(s). Solve y(f) = 0 for f.
-6, 2/7, 1
Let l(r) = -r**3 + 2*r - 1. Let d be l(-2). Let -1 + 3 - 10*m**d + 14*m**2 - 2 - 4*m = 0. Calculate m.
0, 2/5, 1
Let k(t) be the first derivative of -12*t**2 - 12*t + 8 + 3/2*t**4 + 3/5*t**5 - 3*t**3. Determine h, given that k(h) = 0.
-2, -1, 2
Let v(l) be the second derivative of -l**7/1470 - l**6/105 - 3*l**5/70 + 9*l**3/14 + 16*l**2 + 41*l. Let y(x) be the first derivative of v(x). Factor y(q).
-(q - 1)*(q + 3)**3/7
Let w(i) be the second derivative of -1/4*i**4 + 24*i + 0 - 1/5*i**5 + 3*i**3 + 0*i**2 + 1/30*i**6. Factor w(m).
m*(m - 3)**2*(m + 2)
Let o(a) be the first derivative of -a**5/60 + a**4/24 + a**3/3 + 6*a**2 - 3. Let c(n) be the second derivative of o(n). Find t, given that c(t) = 0.
-1, 2
Let n(h) be the first derivative of 8/5*h**3 - 3/5*h**4 - 12/5*h + 1/5*h**6 + 19 + 3/5*h**2 - 12/25*h**5. Suppose n(d) = 0. Calculate d.
-1, 1, 2
Let t(w) be the third derivative of -13*w**8/112 - 29*w**7/14 - 9*w**6 - 13*w**5 - 4*w**4 - 326*w**2. Find x such that t(x) = 0.
-8, -2, -1, -2/13, 0
Suppose 57*h**2 - 35*h**4 - 22*h**4 + 4*h - 51*h**3 + 13*h + 25*h + 9*h**5 = 0. What is h?
-1, -2/3, 0, 1, 7
Let f(w) be the first derivative of -w**5/5 + 2*w**3/3 - w - 71. Factor f(r).
-(r - 1)**2*(r + 1)**2
Determine k so that 0*k**2 + 16*k + 6 - k**2 + 0*k**2 - 12*k**2 + 7*k**2 = 0.
-1/3, 3
Factor 56/9 - 88/9*h - 2/9*h**3 + 34/9*h**2.
-2*(h - 14)*(h - 2)*(h - 1)/9
Let w(u) be the second derivative of 2*u**6/45 - 13*u**5/30 + 10*u**4/9 - u**3 + 209*u. Factor w(k).
2*k*(k - 1)**2*(2*k - 9)/3
Let u(z) = -6*z - 225. Let n be u(-38). Let r(j) be the first derivative of 3 + 11/3*j**n + 21/8*j**4 - 1/4*j**2 - j. Factor r(d).
(d + 1)*(3*d + 1)*(7*d - 2)/2
Let s(w) be the second derivative of 1/3*w**3 + 1/2*w**2 - 1/10*w**5 - 1/3*w**4 + 3*w + 1/10*w**6 + 0. Factor s(x).
(x - 1)**2*(x + 1)*(3*x + 1)
Factor 12 + 8*w**3 + 691*w - 751*w - 20*w**3 + 51*w**2.
-3*(w - 2)**2*(4*w - 1)
Factor -3831 + 15*l + 3833 - 7*l**2 - l**2.
-(l - 2)*(8*l + 1)
Suppose -2*g = -5*g + 6. Suppose 6*j = 4*j - 3*r + 8, 4*r - 7 = j. Find n such that j - 4*n + 4*n + 2*n**3 - 2*n**2 + 1 - g*n = 0.
-1, 1
Let s(q) be the second derivative of 2*q**6/3 + 19*q**5/4 + 5*q**4/4 - 85*q**3/3 + 20*q**2 - 2*q - 85. Determine v, given that s(v) = 0.
-4, -2, 1/4, 1
Suppose -4*y = -4*l + 72, 6*y - 90 = -4*l + y. Suppose -4*c - l = 0, 310 = 7*q - 3*q + 2*c. Suppo