+ 0*k**4 + 1/3*k**3 + 4 - 1/5*k**5 + 0*k. Let f(t) = 0. What is t?
-1, 0, 1
Let s(i) be the third derivative of 0*i**4 + 0*i - 4*i**2 + 0 - 1/900*i**6 + 1/150*i**5 - 4/45*i**3. Find h such that s(h) = 0.
-1, 2
Let h(r) be the second derivative of r**8/3360 + r**7/420 + r**6/150 + r**5/150 - 21*r**2 - 22*r. Let b(y) be the first derivative of h(y). Factor b(t).
t**2*(t + 1)*(t + 2)**2/10
Let t be ((-1)/15*2)/((-108)/405). Factor 5/2*u - t*u**2 - 2.
-(u - 4)*(u - 1)/2
Let h be 28/16 + (-39)/26. Factor h*n**2 + 3/2 - 7/4*n.
(n - 6)*(n - 1)/4
Let o(f) be the first derivative of 2*f**3/33 + 5*f**2/11 + 12*f/11 - 10. Factor o(z).
2*(z + 2)*(z + 3)/11
Let x be (-17 - ((-1920)/66 - -12)) + 2/(-22). Factor 2/9*g**3 - 2/9*g**5 + x + 0*g - 2/9*g**2 + 2/9*g**4.
-2*g**2*(g - 1)**2*(g + 1)/9
Let u(c) = -5*c**5 + 7*c**4 - 3*c**3 + 5*c**2. Let a(m) = -6*m**5 + 8*m**4 - 3*m**3 + 6*m**2. Let f(p) = 4*a(p) - 5*u(p). Suppose f(v) = 0. Calculate v.
0, 1
Let w(n) be the third derivative of -n**8/53760 + n**7/3360 - n**6/640 - 13*n**4/8 - 8*n**2. Let r(l) be the second derivative of w(l). Factor r(h).
-h*(h - 3)**2/8
Let m be (-5 + 18/4)*(-36)/27. Let i(o) be the second derivative of 1/36*o**4 + m*o**2 + 2/9*o**3 + 0 - 9*o. Let i(z) = 0. Calculate z.
-2
Let m(v) = -v**3 - 7*v**2 - 11*v - 3. Let n be m(-5). Suppose 0 = 2*u - n*r + 4, -3*r = -2*u - 0*r - 8. Factor -6*w**u + w + 3*w - w.
-3*w*(2*w - 1)
Let i(k) be the second derivative of -k**8/1680 + k**7/105 - k**6/15 + 4*k**5/15 + 4*k**4/3 + 8*k. Let x(m) be the third derivative of i(m). Factor x(j).
-4*(j - 2)**3
Let v(j) = -j**2 - j + 1. Let g(w) = -14*w**2 + 34*w - 30. Let q(s) = -g(s) + 10*v(s). Determine u so that q(u) = 0.
1, 10
Let i(z) = z**2 - 7*z + 9. Let a be i(6). Suppose -a*b = -2*b - 30. Factor 4*n**4 + 8*n**3 + 13 + 3 + 0*n**2 + 14*n - b*n - 12*n**2.
4*(n - 1)**2*(n + 2)**2
Let 2/23*g**2 + 0 + 66/23*g = 0. What is g?
-33, 0
Let z(c) be the second derivative of 8*c**7/189 - 4*c**6/5 + 7*c**5/12 - 13*c**4/108 + c - 37. Suppose z(m) = 0. What is m?
0, 1/4, 13
Let k be (-405)/(-4) - 5/20. Factor -90 + 171 - 40*r - k - 15*r**2.
-5*(r + 2)*(3*r + 2)
Let h be (-1)/(-2)*14 - 2. Let q be (23 - 35)*(-4 - ((-22)/12 - 2)). Factor 2/3*j**3 + 2/9*j**q + 2/3*j**4 + 0 + 2/9*j**h + 0*j.
2*j**2*(j + 1)**3/9
Let k be ((-52)/72)/13*(-55 - -47). Factor -4/9*m**3 - k*m**2 + 0 + 0*m.
-4*m**2*(m + 1)/9
Let j(b) be the first derivative of b**6/2160 + b**5/360 + 43*b**3/3 + 43. Let c(o) be the third derivative of j(o). Factor c(f).
f*(f + 2)/6
Let p(b) be the first derivative of b**7/672 - b**6/720 + 10*b**3/3 + 13. Let c(r) be the third derivative of p(r). Factor c(z).
z**2*(5*z - 2)/4
Let j(b) = 5*b**2 - 289*b - 56. Let z be j(58). Suppose 0 - 6/5*o**4 + 2/5*o**3 + 0*o + 0*o**z = 0. What is o?
0, 1/3
Solve 3*z**3 + 16 - 1113*z - 9*z**2 - 4 + 1113*z = 0 for z.
-1, 2
Suppose 19 = 4*z - 49. Suppose 8 = -2*m, -2*m + 4*m = -h - 4. Determine n, given that -z*n**3 + 32*n**2 - 43*n**3 - 20*n**3 + 3*n**3 + 49*n**h - 4*n = 0.
0, 2/7, 1
Let l(m) = 19*m**4 + 39*m**3 + 15*m**2 - 5*m - 3. Let b(a) = 19*a**4 + 40*a**3 + 15*a**2 - 6*a - 4. Let p(s) = -3*b(s) + 4*l(s). Factor p(v).
v*(v + 1)**2*(19*v - 2)
Let o be (-1)/(4/(-80)*5). Let z(x) be the first derivative of 0*x + 3/5*x**5 - 3/2*x**4 + x**3 - o + 0*x**2. Suppose z(u) = 0. Calculate u.
0, 1
Let 381*z**3 - 25*z**5 - 272*z + 17*z**2 + 52*z - 80 + 23*z**2 - 136*z**3 + 40*z**4 = 0. What is z?
-2, -1, -2/5, 1, 4
Let 4*c - 20/3*c**2 + 28/9*c**3 - 4/9*c**4 + 0 = 0. What is c?
0, 1, 3
Let j(l) be the second derivative of l**8/8400 + l**7/2100 + l**6/1800 - l**3 - 15*l. Let n(y) be the second derivative of j(y). Factor n(z).
z**2*(z + 1)**2/5
Factor 265*o**2 + 3150*o**2 + 18*o**4 + 677*o**2 - 1504*o - 252*o**3 - 14*o**4 - 2340*o.
4*o*(o - 31)**2*(o - 1)
Let v(b) be the third derivative of -6*b**3 - 3/20*b**6 + 0 + 1/2*b**4 + 0*b - 22*b**2 + 9/20*b**5 + 1/70*b**7. Suppose v(u) = 0. Calculate u.
-1, 2, 3
Factor -207*j**3 + 60*j - 37*j**2 + 211*j**3 + 9*j**2 - 36.
4*(j - 3)**2*(j - 1)
Solve 0 - 3*w + 27/2*w**2 = 0.
0, 2/9
Let n(p) be the second derivative of -p**4/6 + p**3 - 111*p. Factor n(k).
-2*k*(k - 3)
Let i(c) be the second derivative of -1/3*c**3 + 0 + 1/6*c**4 + 0*c**2 + 10*c. Factor i(y).
2*y*(y - 1)
Let x be 2/(-3)*(-6)/(-4). Let u = 5 + x. Factor -3*n**4 + 6*n**2 + n**3 - 6*n**2 + n**u.
-n**3*(2*n - 1)
Let b(s) be the second derivative of -s**4/30 + 23*s**3/5 + 677*s. Suppose b(d) = 0. Calculate d.
0, 69
Let i(g) be the second derivative of -g**4/54 - g**3/9 - 2*g**2/9 + 13*g - 2. Let i(l) = 0. Calculate l.
-2, -1
Let p = -1622/9 - -27592/153. Factor 2/17*x + 0 - p*x**2.
-2*x*(x - 1)/17
Let g = -126 - -130. Factor -3/8*x**3 + 1/8*x**g + 0 - 1/8*x + 3/8*x**2.
x*(x - 1)**3/8
Let o(k) = k - 4. Let s be o(-16). Let j be ((-6)/135)/(-1 - 16/s). Find t, given that j*t**3 + 4/9*t**2 + 2/9*t + 0 = 0.
-1, 0
Determine v, given that -262*v - 41171 - 187*v + 125*v - 2*v**2 + 7371 - 196*v = 0.
-130
Suppose -3*g + 2*f = f - 14, 0 = f - 1. Suppose g = 5*x - 5. Determine o, given that -21 - 4*o**x + 5 - 4*o - 12*o = 0.
-2
Suppose -4*m + 25 = 3*s, -42*m + 46*m = -2*s + 22. Let -8/3*i**2 + 5/3*i**s - 19/3*i - 2 = 0. Calculate i.
-1, -2/5, 3
Let d(b) = -2*b**3 - 24*b**2 + 18*b + 24. Let m(c) = 2*c**2 + c + 3. Let s(j) = d(j) + 4*m(j). Let s(r) = 0. Calculate r.
-9, -1, 2
Let u(m) be the first derivative of 3*m**6/2 - 48*m**5/5 + 45*m**4/4 + 30*m**3 - 42*m**2 - 72*m + 695. Determine v, given that u(v) = 0.
-1, -2/3, 2, 3
Let i = -112 - -123. Let o = i - 11. Factor -3/2*z**4 + o*z + 1/2*z**5 + 2*z**2 + 0*z**3 + 0.
z**2*(z - 2)**2*(z + 1)/2
Let w(f) be the third derivative of 1/42*f**3 + 0*f**4 + 1/1470*f**7 + 0*f**6 + 0*f + 0 - 1/210*f**5 + 43*f**2. Factor w(p).
(p - 1)**2*(p + 1)**2/7
Let m be 12/9*6/4. Let d(s) = -s**2. Let q(z) = -3*z**2. Let x(p) = -6*p - 1. Let w be x(1). Let y(c) = m*q(c) + w*d(c). Solve y(r) = 0 for r.
0
Let g(x) be the third derivative of -x**5/12 - 1165*x**4/12 - 271445*x**3/6 - 3*x**2 - 44*x. Determine z so that g(z) = 0.
-233
Let 347189*v - 262144 + 42728*v**2 + 462454*v + 1912*v**3 + 20*v**4 - 178859*v - 11695*v**2 + 29639*v**2 = 0. What is v?
-32, 2/5
Let x(p) be the first derivative of 19/28*p**4 + 1/42*p**6 - 1/5*p**5 - 25/21*p**3 - 4/7*p + 8/7*p**2 + 44. Suppose x(i) = 0. Calculate i.
1, 2
Find p, given that 1/5*p**5 - 2/5*p**4 - 12/5*p - 19/5*p**3 - 28/5*p**2 + 0 = 0.
-2, -1, 0, 6
Suppose -3*z = -a + 18, 4*z - z - 4*a + 27 = 0. Let o(n) = 4*n**2 - n - 8. Let x(i) = i. Let p(v) = z*x(v) - o(v). What is j in p(j) = 0?
-2, 1
Let d(w) be the first derivative of w**7/210 - 7*w**6/150 + 3*w**5/20 - 3*w**4/20 - 2*w + 6. Let i(j) be the first derivative of d(j). Factor i(z).
z**2*(z - 3)**2*(z - 1)/5
Let -17/2*p**2 + 1/4*p**3 + 345/4*p - 225 = 0. Calculate p.
4, 15
Let -8/11*v + 0 - 18/11*v**2 - 12/11*v**3 - 2/11*v**4 = 0. What is v?
-4, -1, 0
Factor 1/2*i**3 - 1/6*i**4 + 1 + 1/2*i**2 - 11/6*i.
-(i - 3)*(i - 1)**2*(i + 2)/6
Let o(r) be the third derivative of -r**8/84 + 8*r**7/105 + r**6/10 - 22*r**5/15 + 2*r**4/3 + 16*r**3 - r**2 + 169. Suppose o(h) = 0. Calculate h.
-2, -1, 2, 3
Let z(n) = n**2 - 6*n + 8. Let p be z(6). Let b be p/4*(-6)/(-16). What is y in 9/4*y**2 + b*y**3 + 0 + 3/2*y = 0?
-2, -1, 0
Let u(a) be the first derivative of 15/8*a**4 - 2*a**3 + 9*a - 32 - 21/4*a**2. Factor u(n).
3*(n - 1)**2*(5*n + 6)/2
Find z such that 486*z**2 - 22*z - 16 - 2*z**3 + 3*z**3 - 491*z**2 = 0.
-2, -1, 8
Suppose -77 = -9*i + 68 + 35. Let -28/3*l - i*l**2 - 52/3*l**3 - 16/3*l**4 - 4/3 = 0. Calculate l.
-1, -1/4
Factor 3/4*x - 7/8*x**2 + 0 + 3/8*x**4 - 3/8*x**3 + 1/8*x**5.
x*(x - 1)**2*(x + 2)*(x + 3)/8
Let s be (6 - 9) + 0 + 4. Let z(n) = -n**3 - n. Let u(f) = 6*f**2 + 16*f + 8. Let b(h) = s*u(h) + z(h). Solve b(c) = 0.
-1, 8
Suppose 0 = -114*l + 24*l. Let g(c) be the third derivative of -1/6*c**3 + c**2 + 0 + l*c + 11/48*c**4 - 3/40*c**5. Suppose g(u) = 0. What is u?
2/9, 1
Let z(s) be the second derivative of s**6/195 - 2*s**5/65 - s**4/78 + 4*s**3/39 + s + 2. Factor z(q).
2*q*(q - 4)*(q - 1)*(q + 1)/13
Suppose 2*h + 6*n = 2*n - 22, -h - 4*n - 13 = 0. Let u be ((-2)/h*-3)/(4/(-12)). Factor 3 + 2*d + 1/3*d**u.
(d + 3)**2/3
Determine j so that 3/7*j**2 - 39/7 - 36/7*j = 0.
-1, 13
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