
Let y(v) be the third derivative of -v**8/112 + 3*v**7/70 + v**6/8 - 3*v**5/20 - v**4/2 + 2*v**2 - 2. Determine d so that y(d) = 0.
-1, 0, 1, 4
Let d = -15 - -17. Let v be 4*(11/2 - d). What is b in 12 - 14*b**4 - 95*b**2 - 7*b**4 + 12*b + 78*b**3 + v*b**2 = 0?
-2/7, 1, 2
Let s be ((-24)/(-32))/(3 - 114/40). Let u(b) be the third derivative of 0*b**4 + 0 + s*b**2 - 1/6*b**3 + 0*b + 1/60*b**5. Factor u(p).
(p - 1)*(p + 1)
Let q(l) be the third derivative of -2/735*l**7 + 5/42*l**4 - 1/210*l**6 + 4/21*l**3 + 0*l + 1/35*l**5 + 32*l**2 + 0. Find t such that q(t) = 0.
-1, 2
Suppose 0*p = p + 43. Let y = p + 102. Find l, given that 4*l**3 + 15*l**5 + 18*l**4 - 20*l**4 - 33*l**2 + 6*l - 49*l**4 + y*l**3 = 0.
0, 2/5, 1
Let x(g) be the third derivative of g**6/40 + g**5/5 + 5*g**4/8 + g**3 + g**2 - 32*g. Factor x(u).
3*(u + 1)**2*(u + 2)
Factor -52/3*r - 2/9*r**2 - 338.
-2*(r + 39)**2/9
Let s(x) be the third derivative of x**5/90 + 23*x**4/36 + 22*x**3/9 + 46*x**2 - 6. Factor s(d).
2*(d + 1)*(d + 22)/3
Let b(z) be the second derivative of -47*z - 3/2*z**2 + 0 - 1/40*z**5 + 1/12*z**4 + 5/12*z**3. Factor b(s).
-(s - 3)*(s - 1)*(s + 2)/2
Factor 0 - 2/19*b**2 + 26/19*b.
-2*b*(b - 13)/19
Let d(m) be the second derivative of 0*m**2 - 9*m + 1/6*m**3 + 0 + 1/12*m**4. Find u, given that d(u) = 0.
-1, 0
Let y = 1/235 + 31/3760. Let i(t) be the third derivative of 0 + 7/96*t**4 - y*t**5 + 1/4*t**3 - 7*t**2 + 0*t. Let i(p) = 0. What is p?
-2/3, 3
Let f(b) be the first derivative of -6*b**3/11 + 42*b**2/11 - 98*b/11 - 58. Factor f(w).
-2*(3*w - 7)**2/11
Let m(v) be the second derivative of -13/6*v**6 + 0 + 5/3*v**3 + 7*v**5 + 0*v**2 + 10*v - 85/12*v**4. Factor m(y).
-5*y*(y - 1)**2*(13*y - 2)
Let p(b) be the first derivative of -2*b**5/5 + b**4/2 + 2*b**3 - 5*b**2 + 4*b + 81. Solve p(u) = 0 for u.
-2, 1
Let a(j) be the second derivative of 0*j**2 + 0*j**4 - 1/6*j**6 - 2*j + 0*j**3 + 0 - 1/4*j**5. Factor a(q).
-5*q**3*(q + 1)
Let k(v) be the third derivative of v**5/12 - v**3/6 - 2*v**2. Let o be k(1). Let -y**4 - y**o + 6 + 2*y**2 - 6 = 0. What is y?
-1, 0, 1
Let t(m) = -m**2 + 4. Let r be t(-3). Let p = r - -7. Factor 3/7 + 3/7*y**p - 6/7*y.
3*(y - 1)**2/7
Let p(j) = 3*j**2 - 8*j - 6. Let r(f) be the third derivative of -f**5/60 + f**4/6 + f**3/2 + 14*f**2. Let c(q) = 2*p(q) + 5*r(q). Factor c(o).
(o + 1)*(o + 3)
Let w = 27 - 23. Let 24*o**4 - 32*o**4 + w*o**3 - 12*o**3 - 2*o**5 = 0. Calculate o.
-2, 0
What is s in -17*s + 7*s**2 + 12 + 1285*s**3 - 1284*s**3 - 3 = 0?
-9, 1
Let w(r) be the first derivative of r**5/15 - 2*r**4/3 + 4*r**3/3 + 16*r**2/3 - 64*r/3 - 86. Factor w(l).
(l - 4)**2*(l - 2)*(l + 2)/3
Let z = -29 - -31. Suppose -206*t**2 - 24*t + 215*t**z + 5 - t**3 + 11 = 0. Calculate t.
1, 4
Let a(z) be the third derivative of 0*z + 4*z**3 - 8*z**2 - 1/40*z**6 - 3/2*z**4 + 0 + 3/10*z**5. Factor a(p).
-3*(p - 2)**3
Let y be 2 + 0 - (2 + -12). Factor -21*h + 14*h**3 - y*h**2 - h - 12 - 16*h**3.
-2*(h + 1)*(h + 2)*(h + 3)
Find o, given that 0 - 16/5*o**2 - 9/5*o**4 + 1/5*o**5 + 24/5*o**3 + 0*o = 0.
0, 1, 4
Let g be 4/(-18) + -3 + (-14530)/225. Let c = g + 68. Determine w, given that c*w**2 + 1/5 + 2/5*w = 0.
-1
Find v, given that -2/3 - 2/3*v**2 - 4/3*v = 0.
-1
Let o(x) be the second derivative of 0*x**4 + 1/360*x**5 + 0 - 9*x + 0*x**3 + 5/2*x**2 + 1/720*x**6. Let v(q) be the first derivative of o(q). Factor v(w).
w**2*(w + 1)/6
Let g = -133 - -203. Suppose -4*q = 4*v - 92, -3*q + v + g = 3*v. Factor 55*t**2 + q*t**3 + 16 - 15*t**2 + 0 + 48*t + 12*t**2 + 4*t**4.
4*(t + 1)**2*(t + 2)**2
Let x(o) be the third derivative of 13*o**6/24 + 37*o**5/12 - 5*o**4/4 - o**2 + 12. Suppose x(l) = 0. Calculate l.
-3, 0, 2/13
Let r(x) = x + 1. Let b(s) = 5*s**2 - 8*s - 12. Let g(c) = c**2 - c - 1. Let j(m) = b(m) - 6*g(m). Let n(y) = j(y) + 6*r(y). Factor n(o).
-o*(o - 4)
Factor -2/13*y**4 + 920/13*y + 66/13*y**3 + 48 + 444/13*y**2.
-2*(y - 39)*(y + 2)**3/13
Let f be (-2 + (-8)/(-2))*-15. Let r = 44 + f. Factor -r*b**3 + b**2 - 1 + 16*b**3 + 1 + b**4.
b**2*(b + 1)**2
Let x(k) = 25*k**4 + 155*k**3 - 25*k**2 - 120*k + 35. Let m(n) = 2*n**4 + 13*n**3 - 2*n**2 - 10*n + 3. Let s(d) = -35*m(d) + 3*x(d). Solve s(l) = 0.
-2, -1, 0, 1
Let k(s) be the second derivative of 7/45*s**3 - 1/30*s**4 + 53*s - 2/15*s**2 + 0. Determine v, given that k(v) = 0.
1/3, 2
Let q be (1 - 0)*(-9 - -8). Let d(f) = f**4 - f**3 - f**2 - 1. Let j(s) = -30*s**4 - 42*s**3 + 99*s**2 - 36*s + 3. Let m(w) = q*j(w) - 3*d(w). Factor m(b).
3*b*(b + 3)*(3*b - 2)**2
Factor 436/3*h**2 - 48*h**3 - 168*h + 16/3*h**4 + 196/3.
4*(h - 1)**2*(2*h - 7)**2/3
Let q(l) be the first derivative of 3*l**5/5 - 27*l**4/4 - 3*l**3 + 75*l**2/2 + 54*l - 170. Factor q(f).
3*(f - 9)*(f - 2)*(f + 1)**2
Let f(y) be the second derivative of y**9/28728 + y**8/15960 - y**7/7980 - y**6/3420 - 8*y**3/3 + 14*y. Let q(z) be the second derivative of f(z). Factor q(v).
2*v**2*(v - 1)*(v + 1)**2/19
Let q(n) be the first derivative of -n**6/12 - n**5/5 + 5*n**4/8 + 5*n**3/3 - n**2 - 4*n + 68. Suppose q(s) = 0. What is s?
-2, -1, 1, 2
Let w be (3 + 2)*(-4)/(-10). Let i be (w/(-12))/((-3)/18*2). Factor x - 1/2*x**2 - i.
-(x - 1)**2/2
Let u = -172 + 170. Let h be (u - 116/(-57))/(13/117). What is d in 0*d**2 - 2/19*d**3 - 4/19 + h*d = 0?
-2, 1
Let w be -2 - (3 - 5) - -1. Suppose -5*c = 4*j - 22, 2*c + 0*c = j + w. Factor -s - 2*s**3 + c*s - s**4 - 3*s**5 - 1 + 4*s**5 + 2*s**2.
(s - 1)**3*(s + 1)**2
Let m(n) be the first derivative of n**6/1080 + n**5/120 + n**4/36 + 8*n**3/3 + 40. Let v(q) be the third derivative of m(q). Suppose v(y) = 0. Calculate y.
-2, -1
Let t(j) be the third derivative of j**5/180 + 23*j**4/18 + 1058*j**3/9 - 76*j**2. Suppose t(s) = 0. Calculate s.
-46
Factor 9/8*y - 3/2*y**3 + 0 + 33/8*y**2.
-3*y*(y - 3)*(4*y + 1)/8
Let i = 15 - 13. Solve 9*v**3 + 0*v**2 + v - i*v**2 - 8*v**3 = 0 for v.
0, 1
Let j(b) be the first derivative of 2*b**5/65 - b**4/26 - 44*b**3/39 - 44*b**2/13 - 48*b/13 - 106. Find u such that j(u) = 0.
-2, -1, 6
Let y(a) = a**2 - 11*a + 3. Let n be y(9). Let w be ((-4)/(-8))/(n*(-1)/72). Factor -9/5*p - 3/5*p**2 + w.
-3*(p - 1)*(p + 4)/5
Let n(g) be the third derivative of 10*g**2 - 4/105*g**7 + 0*g**3 + 1/30*g**6 + 0*g + 2/15*g**5 + 0 - 1/6*g**4. Factor n(j).
-4*j*(j - 1)*(j + 1)*(2*j - 1)
Suppose 25 = 4*y + y. Let f(j) be the first derivative of 4 - 1/3*j**6 + 0*j - 8/3*j**3 + 0*j**2 - 4*j**4 - 2*j**y. Determine l so that f(l) = 0.
-2, -1, 0
Let t be ((-2)/4 - 1)/(1/14). Let h be t/12*(-12)/42. Factor 0 + 0*r + h*r**3 + 1/2*r**2.
r**2*(r + 1)/2
Let d be -15 - (2 - 870/50). Factor -d*q**2 + 12/5 - 2/5*q.
-2*(q - 2)*(q + 3)/5
Let g(b) be the third derivative of b**6/2160 + b**5/360 + b**3 - 11*b**2. Let o(u) be the first derivative of g(u). Factor o(j).
j*(j + 2)/6
Let q(j) = 3*j**3 - 8*j**2 + 9*j - 2. Let z(p) = 2*p + 12. Let l be z(-5). Let o(b) = 7*b**3 - 17*b**2 + 18*b - 3. Let a(v) = l*o(v) - 5*q(v). Solve a(u) = 0.
1, 4
Suppose 16*v - 12*v = 4. Let q be (-11)/21 - (1/3 - v). Factor -6/7*x**2 + 4/7*x + 4/7*x**3 - 1/7*x**4 - q.
-(x - 1)**4/7
Let s(g) be the second derivative of -5*g**7/126 - g**6/6 + 3*g**5/4 - 25*g**4/36 - 22*g + 2. Factor s(c).
-5*c**2*(c - 1)**2*(c + 5)/3
Determine l so that 3*l**3 - 5*l**5 - 43*l**2 - 85 + 10*l**5 - 25*l + 17*l**3 + 133*l**2 - 30*l**4 + 25 = 0.
-1, 1, 3, 4
Let y(m) be the first derivative of 0*m**4 - 1/468*m**6 + 0*m + 0*m**2 + 5 - 1/3*m**3 + 1/390*m**5. Let p(n) be the third derivative of y(n). Factor p(s).
-2*s*(5*s - 2)/13
Let v = -22 - -47. Let q(h) = 20*h**4 - 10*h**3 - 5*h**2 - 15*h + 35. Let i(z) = -z**4 + z**3 - 1. Let x(a) = v*i(a) + q(a). Suppose x(s) = 0. Calculate s.
-1, 1, 2
Let f be -4*11/(-308)*2. Find t, given that -f - 4/7*t - 2/7*t**2 = 0.
-1
Suppose -3*c = 2*n - 10, 5*c + 2*n - 18 = -0*c. Factor 42*v - 6*v**c + 18 - 12*v**3 + v**5 + 4*v**5 + 20*v**2 - 3*v**5.
2*(v - 3)**2*(v + 1)**3
Let r = -56 - -60. Let -233*q**3 - 19*q - 177*q**3 + 86*q**3 + 216*q**r + 126*q**2 + 1 = 0. Calculate q.
1/6, 1
Let q(c) be the second derivative of c**5/30 - 7*c**4/18 - c**3/9 + 7*c**2/3 - 99*c. Factor q(k).
2*(k - 7)*(k - 1)*(k + 1)/3
Let l(b) be the third derivative of b**7/210 + b**6/30 + b**5/20 + 207*b**2. Solve l(y) = 0 for y.
-3, -1, 0
Let p(q) be the third derivat