034 - 3*d**2 + 41 + 624 - 932.
-3*(d + 37)**2
Let s(i) be the third derivative of -i**7/735 + i**6/84 + 43*i**5/210 + 67*i**4/84 + 10*i**3/7 - 466*i**2. Let s(c) = 0. Calculate c.
-3, -1, 10
Let v(c) = -3*c**5 - 6*c**4 + 16*c**3 - 2*c**2 - 17*c + 8. Let z(h) = h**5 + h. Let g(n) = v(n) + 2*z(n). Factor g(r).
-(r - 1)**3*(r + 1)*(r + 8)
Let y(a) = a**2 + a - 3. Let q(s) = -8 - 28 + 12*s**2 + 12*s + 4. Let k be (32/(-10))/(5/(-50)). Let f(o) = k*y(o) - 3*q(o). Factor f(b).
-4*b*(b + 1)
Let q = -33 - -36. Factor -13*x**2 - 23*x + 35*x + 4*x**3 - q*x**2.
4*x*(x - 3)*(x - 1)
Let g(v) = 6*v**2 + 6*v + 15. Let o(y) = -3*y**2 - 3*y - 9. Let r(h) = -3*g(h) - 5*o(h). Let r(c) = 0. Calculate c.
-1, 0
Suppose 11*q - 1019 = -975. Find r such that 1/2*r**5 + 16*r**3 + 8 + 9/2*r**q + 28*r**2 + 24*r = 0.
-2, -1
Suppose m - 8*m = -28. Suppose 5*x**5 + 5*x**3 - x**2 - 29*x**2 - 8*x**m + 28*x**4 = 0. What is x?
-3, -2, 0, 1
Let p = -5 + 12. Let h = p - 4. Factor l**4 + 7*l**2 + 2*l**4 - 4*l**2 - 6*l**h.
3*l**2*(l - 1)**2
Let m be (3204/(-3738))/(-1*3). What is o in 0 - 6/7*o**3 + m*o**4 + 0*o**2 + 0*o = 0?
0, 3
Let y(k) = 8*k**4 - 22*k**3 + 4*k**2 + 10*k. Let o(r) = 9*r**4 - 24*r**3 + 5*r**2 + 10*r. Let d(h) = 6*o(h) - 7*y(h). Determine m so that d(m) = 0.
-1, 0, 1, 5
Let f be 2 + (-6*7/21)/1. Factor -8/15*x**2 + f + 2/15*x.
-2*x*(4*x - 1)/15
Let j(h) be the first derivative of -3*h**4/32 - 179*h**3/4 - 96123*h**2/16 - 254. Factor j(f).
-3*f*(f + 179)**2/8
Factor 0 + 3/5*t**5 - 9*t**3 + 108/5*t**2 - 6/5*t**4 + 0*t.
3*t**2*(t - 3)**2*(t + 4)/5
Let z be (-8880)/(-2275) + -4 - (-22)/143. Let p(t) be the first derivative of 4 + 0*t**4 + 0*t + 2/21*t**3 - z*t**5 + 0*t**2. Factor p(y).
-2*y**2*(y - 1)*(y + 1)/7
Let p be (-12 - -11)/(2/(-12)). Solve -5*q**4 + p*q**3 + 0*q**4 + 4*q**3 - 3*q**4 + 2*q**5 - 4*q**2 = 0.
0, 1, 2
Determine k so that -9 - 71*k**3 + 84 + 72*k - 1230*k**2 - k**3 + 3*k**4 + 1152*k**2 = 0.
-1, 1, 25
Let b(m) = -6*m - 27. Let w be b(-5). Solve -8*x**2 - 5*x + 4*x**2 - 2 - 3 + 5*x**w + 9*x**2 = 0.
-1, 1
Let z be (-11)/((-66)/4) + 38/(-192). Let m = 1/32 + z. Find c such that 0 + m*c**3 + c - 3/2*c**2 = 0.
0, 1, 2
Let b(l) be the third derivative of -4*l**2 - 5/24*l**4 + 1/24*l**6 - 5/2*l**3 + 1/4*l**5 + 0 + 0*l. Let b(n) = 0. What is n?
-3, -1, 1
Let c be 2/4 + -4*91/(-104). Let m(p) be the second derivative of 1/10*p**3 + 0 - 1/4*p**c + 14*p + 9/100*p**5 + 3/10*p**2. Factor m(f).
3*(f - 1)**2*(3*f + 1)/5
Let v be 76/(-12) + (-16)/(-12). Let w be 6/4*v/((-90)/32). Determine x, given that w*x**2 - 5/3*x**3 + 1/3*x**4 - 4/3*x + 0 = 0.
0, 1, 2
Solve -1/3*f**2 + 0 - 2*f = 0 for f.
-6, 0
Suppose -6/5*j**4 - 12/5*j - 24/5 + 6*j**2 - 3/5*j**5 + 3*j**3 = 0. What is j?
-2, -1, 1, 2
Factor -19*s - 24 + 8*s**2 + 4*s**3 + 30*s - 31*s.
4*(s - 2)*(s + 1)*(s + 3)
Let x(g) be the third derivative of -2/15*g**4 + 0 - 4/15*g**3 - 16*g**2 - 1/300*g**6 + 0*g - 1/30*g**5. Factor x(c).
-2*(c + 1)*(c + 2)**2/5
Let q be (-1*3)/(5 - (-789)/(-156)). Factor 0*f + 54*f**5 - q*f**5 - 4*f**3 + 2*f.
2*f*(f - 1)**2*(f + 1)**2
Suppose 12 = -4*k, 4*k = 3*c - 0*c - 21. Suppose -12 = -j - c*s, -2*j + s + 12 = 3*s. Factor -h**5 + 0*h - h + 2*h**j + 0*h**3.
-h*(h - 1)**2*(h + 1)**2
Suppose -2*h - d - 178 = 3*h, 184 = -5*h + 2*d. Let o be ((-2)/6)/(2/h). Factor 6*l**3 - 6*l - 9*l**3 + o*l**2 + 3*l**2.
-3*l*(l - 2)*(l - 1)
Let w(m) be the first derivative of -8/3*m + 2/3*m**2 - 6 + 4/9*m**3. Determine d, given that w(d) = 0.
-2, 1
Let x(f) = -7*f**3 + 10*f**2 + 43*f + 46. Let k be x(-3). Factor -k*w + 2744/3 + 14*w**2 - 1/3*w**3.
-(w - 14)**3/3
Let c(v) be the third derivative of v**8/84 - 4*v**7/105 - 2*v**6/15 + 8*v**5/15 - 191*v**2 + v. Find b such that c(b) = 0.
-2, 0, 2
Let k(j) = -2*j**3 + j**2 - j + 1. Let x(o) = -4*o**4 - 20*o**3 + 4*o**2 + 12*o + 4. Let t(c) = 4*k(c) - x(c). Factor t(r).
4*r*(r - 1)*(r + 2)**2
Factor 21 - 3*v**2 + 23*v + 5*v - 10*v.
-3*(v - 7)*(v + 1)
Let d(b) be the first derivative of -8/5*b**5 + 8*b**4 - 5/3*b**6 - 27 - 11*b**2 + 4/3*b**3 + 4*b. Suppose d(m) = 0. What is m?
-2, -1, 1/5, 1
Suppose 4*l = 40*x - 37*x - 23, l + 17 = 3*x. Let -14/3*g**3 - 2/3*g**2 + 10/3*g**4 - 8/3 + 16/3*g - 2/3*g**x = 0. Calculate g.
-1, 1, 2
Let t(g) = 5*g**2 - 10*g + 11. Let l(r) = -r**2 + r - 1. Suppose 10 - 16 = k. Let v(b) = k*l(b) - t(b). Factor v(u).
(u - 1)*(u + 5)
Let f(l) be the third derivative of 0*l - 1/64*l**4 + 0*l**3 + 0 - 1/56*l**8 + 13*l**2 - 33/320*l**6 - 1/16*l**5 - 1/14*l**7. Factor f(c).
-3*c*(c + 1)**2*(4*c + 1)**2/8
Let u(r) be the first derivative of -3*r**4/4 - r**3 + 6*r**2 + 12*r + 256. What is y in u(y) = 0?
-2, -1, 2
Let w = 275749/67785 - 6/4519. Let m = 14/3 - w. Factor -6/5 - 9/5*o - m*o**2.
-3*(o + 1)*(o + 2)/5
Factor -24/5*l**4 - 2/5*l**5 - 96/5*l**3 + 0 + 0*l - 128/5*l**2.
-2*l**2*(l + 4)**3/5
Suppose -3*b + 2*o = -o - 141, -2*b - 4*o + 64 = 0. Suppose -5*d + 2*f + 2 = -42, -b = -5*d + f. Determine v so that -v**3 - d*v**3 + 6*v**3 + 3*v = 0.
-1, 0, 1
Let o(r) be the first derivative of 2*r**3/21 - 2*r**2 + 15. Factor o(l).
2*l*(l - 14)/7
Determine f so that 11/7*f**3 + 0 - 9/7*f**2 - 1/7*f**5 - 10/7*f + 9/7*f**4 = 0.
-1, 0, 1, 10
Let n be ((-62)/(-31))/(2 + -1). Factor -2/13*w - 2/13 + 2/13*w**3 + 2/13*w**n.
2*(w - 1)*(w + 1)**2/13
Solve -2 - 1/3*t**2 + 5/3*t = 0 for t.
2, 3
Factor -130*m**2 - 1647750 + 25350*m + 2/9*m**3.
2*(m - 195)**3/9
Let l(r) = r**5 + r**4. Let x(t) = -20*t**5 + 5*t**4 - 80*t**2 + 80*t. Let i(j) = -15*l(j) - x(j). Solve i(d) = 0.
-2, 0, 2
Suppose -5*b + 2 = -n + 5, -n + 3 = 4*b. Suppose -t + 22 = -4*a, -t = 3*t + a - 3. Let 0*d**t - 6*d + d**2 + 2*d**2 - n*d = 0. What is d?
0, 3
Let t(q) be the third derivative of 0*q + 8/3*q**3 + 1/60*q**5 + 0 + 1/3*q**4 - 19*q**2. Factor t(p).
(p + 4)**2
Suppose -32*q - 12 = -36*q, -5*c - 3*q + 24 = 0. Factor -3/7*w**c + 0*w**2 + 6/7 + 9/7*w.
-3*(w - 2)*(w + 1)**2/7
Let x(r) be the third derivative of -121/20*r**4 + 0*r + 14*r**2 + 0 - 11/50*r**5 - 1331/15*r**3 - 1/300*r**6. Suppose x(u) = 0. Calculate u.
-11
Let n be ((-4)/(-60))/((1860/(-54))/5 - -7). Factor n*g**3 + 81/5*g + 27/5*g**2 + 81/5.
3*(g + 3)**3/5
Find s such that -40*s**3 + 3*s**4 - 12*s**4 + 37 + 12*s**2 + 112*s + 5*s**4 - 52 - 65 = 0.
-10, -2, 1
Let b(s) be the third derivative of -s**6/720 + s**5/90 - 5*s**4/144 + s**3/18 + 73*s**2. Suppose b(t) = 0. Calculate t.
1, 2
Let l(z) be the second derivative of z**7/273 - 11*z**6/195 - 37*z**5/65 - 50*z**4/39 + 56*z**3/39 + 128*z**2/13 - 194*z - 1. Find a, given that l(a) = 0.
-2, 1, 16
Let q(y) = -5*y**2 + 40*y - 86. Let o = -106 + 41. Let v(m) = 55*m**2 - 440*m + 945. Let u(h) = o*q(h) - 6*v(h). Suppose u(z) = 0. Calculate z.
4
Suppose -x = 5*i + 28, 2*i = 2*x - 3*i - 34. Suppose -4/7*w + x*w**2 + 0 + 8/7*w**3 = 0. What is w?
-2, 0, 1/4
Let t(n) be the first derivative of 8 - 4/3*n + 1/9*n**3 - 2/3*n**2 + 1/12*n**4. Factor t(r).
(r - 2)*(r + 1)*(r + 2)/3
Suppose -3*z + 0*i - 15 = -3*i, i = -4*z. Let q = z + 3. Solve 64*n**2 + 2*n**4 - 64*n**q - 2*n**3 = 0 for n.
0, 1
Let n(g) be the second derivative of g**9/3780 - g**8/210 + g**7/35 - 9*g**5/10 - 11*g**4/12 - 4*g. Let y(r) be the third derivative of n(r). Factor y(j).
4*(j - 3)**3*(j + 1)
Suppose 22 = 2*q - 48. Let p = 38 - q. Suppose -2/7*f**p - 2/7*f + 0 - 4/7*f**2 = 0. Calculate f.
-1, 0
Let w(h) be the first derivative of h**6/180 + h**5/30 + h**4/12 + 29*h**3/3 - 25. Let u(d) be the third derivative of w(d). Let u(f) = 0. Calculate f.
-1
Let a(t) be the second derivative of t**7/5040 - t**5/720 - 13*t**3/6 - t. Let g(m) be the second derivative of a(m). Determine r, given that g(r) = 0.
-1, 0, 1
Factor 16/3*v**3 + 1/3*v**4 + 46/3*v**2 - 48*v + 27.
(v - 1)**2*(v + 9)**2/3
Let y(r) be the third derivative of -r**6/720 + r**5/120 + r**4/36 - r**3/3 - 244*r**2. Factor y(p).
-(p - 3)*(p - 2)*(p + 2)/6
Let s be 5/2*136/170. Let w(v) be the third derivative of 0 - 3*v**s - 1/16*v**4 + 1/6*v**3 + 0*v + 1/120*v**5. Factor w(f).
(f - 2)*(f - 1)/2
Let r(u) be the first derivative of -u**3/21 - 9*u**2/14 - 32. Let r(h) = 0. What is h?
-9, 0
Let h be (-5 + 3)/(-2) - -14. Suppose -3*c + h = 0, 3*z - 2*c + 14 = 5*z. Factor 2/3*v**3 + 4/3 - 2*v + 0*v**z.
2*(v - 1)**2*(v + 2)/3
Let t(a) be the second derivative of a**5/20 + 4*a**