8. Let d(n) = v*j(n) - 4*o(n). What is a in d(a) = 0?
-1, 1
What is z in -156/7*z**2 - 2028/7*z - 3/7*z**3 + 0 = 0?
-26, 0
Let s(c) be the first derivative of c**8/336 + c**7/168 - c**6/36 - 2*c**3 - 4. Let n(z) be the third derivative of s(z). Let n(o) = 0. Calculate o.
-2, 0, 1
Suppose 10 = 2*s + 3*s. Let z(v) be the second derivative of 1/60*v**6 + 0 + s*v + 0*v**4 + 1/6*v**3 - 1/20*v**5 - 1/4*v**2. Let z(l) = 0. Calculate l.
-1, 1
Let y(f) be the second derivative of -5/6*f**4 - 8/3*f**3 - 1/10*f**5 - 4*f**2 + 3*f + 0. Suppose y(o) = 0. Calculate o.
-2, -1
Let z(j) = 21*j + 402. Let o be z(-19). Factor 3/8*f - 3/8*f**o + 3/4*f**2 - 3/4.
-3*(f - 2)*(f - 1)*(f + 1)/8
Suppose -c - 14 = -4*z, z - 10 = -2*c - 2. Let g(j) be the second derivative of 9/2*j**c + 0 - 1/4*j**4 + 3*j + j**3. Solve g(u) = 0.
-1, 3
Let c(r) be the third derivative of -r**8/6720 - r**7/2520 + r**6/360 - 13*r**4/24 + 17*r**2. Let l(z) be the second derivative of c(z). Factor l(k).
-k*(k - 1)*(k + 2)
Find p such that 207*p + 254*p**2 - 177 + 246*p**2 - 497*p**2 - 33 = 0.
-70, 1
Solve 2*i**2 + 2/11*i**5 + 18/11*i**3 - 2*i**4 - 20/11*i + 0 = 0.
-1, 0, 1, 10
Factor 0*a + 2/17*a**3 - 72/17*a**2 + 0.
2*a**2*(a - 36)/17
Let w(y) be the second derivative of -y**4/3 - 14*y**3 - y - 102. Factor w(z).
-4*z*(z + 21)
Let g(j) = -j**3 - 40*j**2 + 106*j + 927. Let f be g(-42). Find l, given that 324/5 + f*l**4 + 3*l**3 - 3/5*l**5 - 27*l**2 + 0*l = 0.
-2, 3
Suppose 0 = -4*a + 27 + 17. Suppose 0 = -a*v + 6*v + 10. Let 2*f - v*f + 4*f**4 - 2*f**2 - 2*f**2 = 0. What is f?
-1, 0, 1
Let a be (12/(-8)*7)/((-63)/42). Let m(c) be the first derivative of -c + c**3 - 1/2*c**2 + 1/4*c**4 + a - 2/5*c**5. Factor m(l).
-(l - 1)**2*(l + 1)*(2*l + 1)
What is r in 632/15*r**3 - 24964/5*r**2 + 3944312/15*r - 2/15*r**4 - 77900162/15 = 0?
79
Let h(f) be the second derivative of -f**7/84 + 2*f**6/15 - 3*f**5/5 + 17*f**4/12 - 23*f**3/12 + 3*f**2/2 - f. Let h(w) = 0. Calculate w.
1, 2, 3
Let i(o) = -6 - 1 + 11*o - 2 + 3*o**2. Let f be (-3 - 2)*(-3)/3. Let k(p) = p. Let m(x) = f*k(x) - i(x). Factor m(v).
-3*(v - 1)*(v + 3)
Suppose 0 = -v - 4*f - 68, -12*f = -11*f. Let j = -63 - v. Determine m so that 0*m + 0*m**2 + 0 - 4/9*m**3 + 40/9*m**j - 2/3*m**4 = 0.
-1/4, 0, 2/5
Factor -32/9*y**2 - 8/9*y + 128/9 + 2/9*y**3.
2*(y - 16)*(y - 2)*(y + 2)/9
Let n(s) be the first derivative of s**6/80 - s**5/30 - 17*s**4/48 + s**3/2 + 7*s**2/2 + 11. Let x(c) be the second derivative of n(c). Factor x(j).
(j - 3)*(j + 2)*(3*j - 1)/2
Let t(s) be the second derivative of -s**6/240 + s**5/24 - s**4/24 - 2*s**3/3 + 10*s**2 - 24*s. Let r(f) be the first derivative of t(f). Factor r(k).
-(k - 4)*(k - 2)*(k + 1)/2
Let g = 28110/7 - 4014. Suppose g + 48/7*m**2 - 24/7*m**3 - 40/7*m + 4/7*m**4 = 0. Calculate m.
1, 3
Let g be (-15 - 0)*((-34)/(-20) - 2). Let w(h) be the third derivative of -3/4*h**4 + 0 - g*h**3 - 1/20*h**5 + 0*h - 6*h**2. Factor w(a).
-3*(a + 3)**2
Factor 0 + 2/7*w**2 - 22/7*w.
2*w*(w - 11)/7
Suppose 1 = -f + 4. Suppose 5*a - 2*m = 28, -5 + 1 = -4*a - f*m. Solve 5 - j - a - j**3 - j**2 + 2*j = 0 for j.
-1, 1
Determine b, given that -79*b**4 + 9*b**5 - 45*b**3 - 46*b - 8*b**2 + 32*b - 25*b**2 + 162*b**3 = 0.
-2/9, 0, 1, 7
Let -2/9 - 2/3*h + 8/9*h**2 = 0. What is h?
-1/4, 1
Let t(m) be the second derivative of m**7/210 - m**5/30 - 2*m**3/3 + m. Let i(w) be the second derivative of t(w). Let i(l) = 0. What is l?
-1, 0, 1
Let s(w) be the second derivative of -w**7/3150 - 13*w**6/900 - 4*w**4/3 + 42*w. Let t(q) be the third derivative of s(q). Factor t(l).
-4*l*(l + 13)/5
Let b(o) = -6*o**4 - 3*o**3 - 23*o**2 - 21*o. Let k(g) = -2*g**4 + g**3 + g**2 - g. Let m(h) = -b(h) + 5*k(h). Factor m(q).
-4*q*(q - 4)*(q + 1)**2
Let j(m) be the second derivative of 0*m**2 + 0*m**3 + 0 - 1/2*m**4 + 11*m - 13/10*m**6 - 2/7*m**7 - 33/20*m**5. Suppose j(t) = 0. Calculate t.
-2, -1, -1/4, 0
Let j be (-69)/(-14) + (-138)/322. Factor 3 + 3/2*l**2 + j*l.
3*(l + 1)*(l + 2)/2
Let h(y) = -3*y**3 + 11*y**2 - 11*y + 1. Let r(u) = -12*u**3 + 45*u**2 - 45*u + 3. Let q(x) = 9*h(x) - 2*r(x). Factor q(t).
-3*(t - 1)**3
Let a(f) be the second derivative of -f**5/5 + 8*f**4/3 - 34*f**3/3 + 20*f**2 - 51*f + 2. Factor a(c).
-4*(c - 5)*(c - 2)*(c - 1)
Let x(p) be the third derivative of p**9/1728 + p**8/2016 - p**7/144 - p**6/72 - p**5/3 - 8*p**2. Let d(m) be the third derivative of x(m). Factor d(j).
5*(j - 1)*(j + 1)*(7*j + 2)
Let t(g) be the second derivative of -g**5/200 + 5*g**4/8 - 125*g**3/4 + 3125*g**2/4 + 5*g + 3. Factor t(h).
-(h - 25)**3/10
Let q(y) be the first derivative of 0*y**2 + 3/100*y**5 - 8 - 5*y - 1/10*y**3 + 0*y**4. Let a(l) be the first derivative of q(l). Factor a(t).
3*t*(t - 1)*(t + 1)/5
Suppose -104/3*g**2 + 28/3*g**4 - 32/3 + 48*g - 12*g**3 = 0. What is g?
-2, 2/7, 1, 2
Let s(i) be the third derivative of i**8/12096 + i**7/1512 - i**6/144 - i**5/6 - i**2. Let c(d) be the third derivative of s(d). Let c(n) = 0. What is n?
-3, 1
Let z(q) be the first derivative of -3*q**5 - 35*q**4/4 + 50*q**3/3 + 70*q**2 + 40*q + 94. Solve z(k) = 0 for k.
-2, -1/3, 2
What is f in 14884 - 29*f**2 + 38*f**2 - 8*f**2 + 244*f = 0?
-122
Suppose -7*w + 12*w = 165. Suppose -w = 5*r - 43. Find l such that 0*l**2 - r*l**4 - 2/3*l**5 + 0 + 8/3*l**3 + 0*l = 0.
-4, 0, 1
Let n(d) = 53*d + 110. Let p be n(-2). Let x(i) be the first derivative of i**3 - 1/5*i**5 - i**2 + 4 + 0*i + 0*i**p. Factor x(k).
-k*(k - 1)**2*(k + 2)
Factor -3 - 4 + 29 - 8*z**2 - 20*z**3 + 10 + 17*z + 63*z.
-4*(z - 2)*(z + 2)*(5*z + 2)
Let o(u) be the third derivative of -u**9/90720 - u**8/30240 - u**5/5 + 3*u**2. Let c(j) be the third derivative of o(j). Factor c(t).
-2*t**2*(t + 1)/3
Let m(q) be the third derivative of -q**8/1344 + q**7/315 + q**6/180 - q**4/2 - 16*q**2. Let d(b) be the second derivative of m(b). Factor d(x).
-x*(x - 2)*(5*x + 2)
Let m(a) be the second derivative of 1/189*a**7 + 0*a**3 - 2/135*a**6 + 0 + 1/27*a**4 + 7*a - 1/90*a**5 + 0*a**2. Solve m(d) = 0 for d.
-1, 0, 1, 2
Let q(g) = g**2 + 34*g + 21. Let d(l) = l**2 + 37*l + 18. Let t(w) = 2*d(w) - 3*q(w). Factor t(m).
-(m + 1)*(m + 27)
Let a(v) be the third derivative of -v**6/240 + v**5/60 - 94*v**2. Determine i, given that a(i) = 0.
0, 2
Suppose 6 - 12 = -2*i. Let p = -69/29 - -305/116. Solve 1/4 + 1/4*z**i - p*z - 1/4*z**2 = 0 for z.
-1, 1
Let p(t) be the first derivative of -37 + 0*t - 5/4*t**4 - 5*t**2 + 5*t**3. Factor p(l).
-5*l*(l - 2)*(l - 1)
Let f = -241 - -265. Let b be (-231)/1*f/(-216). Factor b*y**3 + 0 + 49/3*y**4 + 4/3*y + 32/3*y**2.
y*(y + 1)*(7*y + 2)**2/3
Let -1/2*o**3 + 12*o**2 + 99/8*o + 25/8 = 0. What is o?
-1/2, 25
Let i = 53 - 50. Factor -3*y**2 - 2*y + y**3 + 0*y**3 + 632 + i*y**4 - 632 + y**5.
y*(y - 1)*(y + 1)**2*(y + 2)
Let 68*t - 5202 - 2/9*t**2 = 0. Calculate t.
153
Let r(c) = -24*c. Let f be r(-2). Factor 0*b**3 + 3*b**5 + 2 + 27*b + 42*b**3 + 18*b**4 + 4 + f*b**2.
3*(b + 1)**4*(b + 2)
Factor -62*o - 26*o**2 + 5*o**2 - 72 + 4*o - 80*o.
-3*(o + 6)*(7*o + 4)
Let n be (-20)/5*(-1)/(-6)*(-2)/4. Determine s so that 0 - s**3 - 4/3*s + n*s**5 - 8/3*s**2 + 2/3*s**4 = 0.
-2, -1, 0, 2
Find c, given that -5/3*c**3 + 25/3 + 15*c + 5*c**2 = 0.
-1, 5
Let v(l) be the first derivative of 2*l**6/3 + 12*l**5/5 + l**4 - 4*l**3 - 4*l**2 - 46. Factor v(k).
4*k*(k - 1)*(k + 1)**2*(k + 2)
Solve 111/2*k**3 + 81/2*k + 15/2*k**4 + 243/2*k**2 - 81 = 0.
-3, -2, 3/5
Let h(y) be the second derivative of -2/5*y**3 - 5*y + 0 + 1/60*y**4 + 11/10*y**2. Factor h(p).
(p - 11)*(p - 1)/5
Let r = 27 + -13. Factor 4 + 17*m - r - 9*m + 2*m**2.
2*(m - 1)*(m + 5)
Let i(l) be the second derivative of l**6/30 + l**5/15 - l**4/3 - 6*l**2 - 9*l. Let p(b) be the first derivative of i(b). Suppose p(m) = 0. What is m?
-2, 0, 1
Suppose -36 = -2*u - 106. Let c = u - -37. Determine h, given that 0 + 2*h**c + h**5 + 10/3*h**4 + 1/3*h + 4*h**3 = 0.
-1, -1/3, 0
Let z(m) be the first derivative of 2*m**3/15 + 12*m**2/5 + 64*m/5 - 620. What is q in z(q) = 0?
-8, -4
Let g = -14529 + 14529. Factor 18/13*p - 84/13*p**2 + 98/13*p**3 + g.
2*p*(7*p - 3)**2/13
Let h(l) be the second derivative of l**8/1680 + 2*l**7/315 + l**6/45 + l**4 - 2*l. Let q(v) be the third derivative of h(v). Suppose q(y) = 0. What is y?
-2, 0
Let f(r) = -r - 14. Let s be f(