of d**9/52920 - d**8/4704 + d**7/2205 - 11*d**4/12 - 14*d**2. Let t(r) be the second derivative of s(r). Factor t(m).
2*m**2*(m - 4)*(m - 1)/7
Let 2/7*j - 12/7 + 2/7*j**2 = 0. What is j?
-3, 2
Let k(n) be the second derivative of -n**8/15680 + n**6/420 - 3*n**4/4 - 11*n. Let o(c) be the third derivative of k(c). Determine x, given that o(x) = 0.
-2, 0, 2
Let z(u) = u**2 + 4*u - 3. Let w be z(-5). Solve -j - 4*j + 13*j + 0*j**w - 2*j**2 = 0 for j.
0, 4
Let d be 576/99 - 4/(-22). Let t(i) be the first derivative of -d - 2/9*i**3 + 1/3*i**2 + 4/3*i. Let t(j) = 0. Calculate j.
-1, 2
Let d(b) = -b**2 - 85*b + 1388. Let v be d(14). Factor 2/7*f**3 - 8/7*f**v + 6/7*f + 0.
2*f*(f - 3)*(f - 1)/7
Let o(z) be the first derivative of -z**5/20 + 7*z**4/8 + 29*z**3/4 + 37*z**2/2 + 19*z + 546. Solve o(h) = 0.
-2, -1, 19
Let z(a) be the third derivative of -a**5/12 - 5*a**4/4 + 100*a**3/3 + a**2 + 123*a. Let z(u) = 0. What is u?
-10, 4
Factor 3/2*s**3 + 15*s**2 - 108 + 18*s.
3*(s - 2)*(s + 6)**2/2
Let v = -28783 - -143918/5. Factor 7/5*m**2 - v*m + 0 - m**3 + 1/5*m**4.
m*(m - 3)*(m - 1)**2/5
Suppose 0*g + 14 = -2*g + 4*i, 5*i = 2*g + 18. Suppose u = g + 2. Factor -2 + 2*o**2 - o + 3*o**2 + o**3 - u*o**2.
(o - 1)*(o + 1)*(o + 2)
Factor -11*q**3 + 1536*q**2 - 16384*q + 64185 - 20*q**3 - 33*q**3 + q**4 + 1351.
(q - 16)**4
Let h be (-8)/(120/(-9))*-5 + 3. Let a(i) be the third derivative of i**2 + h*i + 0 + 1/6*i**4 + 0*i**3 + 1/30*i**5. Let a(x) = 0. What is x?
-2, 0
Let w = 28 + -26. Let -19*l + 9*l + 3*l - 13*l + 5*l**w = 0. What is l?
0, 4
Suppose t + 0*t - 11 = 2*r, 0 = -2*t - 4*r - 10. Let n = -2/807 + 1624/4035. Let 4/5*j**4 + 0*j**2 + 0*j + n*j**t - 6/5*j**5 + 0 = 0. What is j?
-1/3, 0, 1
Let b(n) be the first derivative of 25/2*n**2 + 20/3*n**3 + 10*n + 5/4*n**4 + 18. Factor b(u).
5*(u + 1)**2*(u + 2)
Suppose -3*q - 11 = -q - 5*c, -5*c = -3*q - 9. Let z = q + -1. Solve z - 5 + 0*n**3 + 2*n**3 - 6*n = 0.
-1, 2
Let j = 183/214 + -38/107. Find f such that 0 - 3/2*f**2 - j*f + 2*f**3 = 0.
-1/4, 0, 1
Let x be 3*(-2 - 0)/(-2). Suppose 3*m - 24 + 10 = -4*r, 4*m - 14 = -3*r. Let -3 + 7*y + x*y**r + 0 - 3 - 10*y = 0. What is y?
-1, 2
Solve -62*u**4 + 3*u**5 + 320 + 880*u + 95*u**3 + 2*u**5 - 3*u**4 + 725*u**2 = 0.
-1, 8
Let b(s) be the third derivative of 1/120*s**6 + 1/3*s**3 - 1/30*s**5 + 0 + 0*s - 14*s**2 - 1/24*s**4. Factor b(t).
(t - 2)*(t - 1)*(t + 1)
Factor -104*j + 2*j**2 - 2*j**2 - 4*j**2 - 253 - 423.
-4*(j + 13)**2
Let p(y) be the first derivative of 25/24*y**6 + 2 - 41/16*y**4 + 2*y**2 + y - 1/4*y**5 + 1/12*y**3. Let p(o) = 0. Calculate o.
-1, -2/5, 1
Let t(g) be the first derivative of 2*g**6/15 - g**5/20 - 5*g**4/24 - g**3/12 + 18*g + 10. Let c(n) be the first derivative of t(n). Solve c(f) = 0.
-1/2, -1/4, 0, 1
Let d(j) = -5*j**2 + 10*j - 26. Let z(s) = 6*s**2 - 6*s + 27. Let c(f) = -3*d(f) - 2*z(f). Factor c(a).
3*(a - 4)*(a - 2)
Let r be 30/12*10/5. Let t(m) be the second derivative of 0 + 1/60*m**4 + 0*m**2 + 7*m + 0*m**3 - 1/100*m**r. Factor t(p).
-p**2*(p - 1)/5
Let i(y) be the first derivative of -y**3/27 + y/9 - 212. Let i(b) = 0. Calculate b.
-1, 1
Let f = -50 + 58. Suppose 3*n - 6*n + f = -2*x, 2*n - 2*x = 4. Find d such that 5/2*d**3 + 7/2*d**2 - 19/2*d**n - 15/2*d**5 + 0 - d = 0.
-1, 0, 1/3, 2/5
Let i(r) be the second derivative of -r**9/5040 - 3*r**8/2240 - r**7/420 + r**4/2 + 17*r. Let d(a) be the third derivative of i(a). Factor d(s).
-3*s**2*(s + 1)*(s + 2)
Let c(o) = -3*o**3 + 6*o**2 + o - 4. Let u(x) be the first derivative of -3/2*x**2 - 1 - 4*x**3 + 9*x + 3/2*x**4. Let h(t) = -9*c(t) - 4*u(t). Factor h(p).
3*p*(p - 1)**2
Determine o, given that -13628*o**2 - 65*o**4 + 13688*o**2 - 5*o**5 - 10*o**5 - 40*o**3 = 0.
-3, -2, 0, 2/3
Let g be (-1840)/(-300) - 6/1. Factor -g*n**3 + 2/15*n + 2/15*n**2 - 2/15.
-2*(n - 1)**2*(n + 1)/15
Let n = -82 + 87. Factor 26*r**3 - r**5 + 3*r**n + 2*r - 30*r**3.
2*r*(r - 1)**2*(r + 1)**2
Let o(f) be the second derivative of -7*f**7/24 - 133*f**6/60 - 81*f**5/80 + 29*f**4/12 - 5*f**3/6 - 2*f - 9. What is a in o(a) = 0?
-5, -1, 0, 2/7
Let u = 50 + -46. Suppose -3*c**3 - 4*c**3 - 122*c**2 + u*c**3 + 128*c**2 - 3*c = 0. Calculate c.
0, 1
Let z(r) = -6*r - 10. Let b(f) = -5*f - 8. Let i(k) = -5*b(k) + 4*z(k). Let t be i(2). Factor -2/3*j**t + 0*j + 0 - 2/3*j**3.
-2*j**2*(j + 1)/3
Let q(z) be the second derivative of z**8/6720 - z**7/420 + z**6/80 - z**5/30 - 7*z**4/12 + 5*z. Let n(f) be the third derivative of q(f). Factor n(x).
(x - 4)*(x - 1)**2
Let p(x) = 7*x - 26. Suppose -y + 24 = -0*y + 4*k, 0 = -4*y + 2*k + 6. Let n be p(y). Factor -1/4*q**n + 0 - 3/4*q.
-q*(q + 3)/4
Let s(z) = -z**2 - 1. Let k be (1 - 3)/(-1) - 1. Let y(j) = -j**3 + 2*j**2 + 2*j + 3. Let u(v) = k*y(v) + 3*s(v). Factor u(m).
-m*(m - 1)*(m + 2)
Let i be -6*(-10)/4*8/40. Factor -10 + 12*k**3 + 15*k - 12*k**i - 15*k**3 + 10*k**2.
-5*(k - 1)*(k + 1)*(3*k - 2)
Let k(h) be the second derivative of 3*h**5/20 + h**4 - 5*h**3/2 - 2*h - 157. Suppose k(i) = 0. What is i?
-5, 0, 1
Let u(x) be the third derivative of -x**8/30240 - x**7/1260 - x**6/120 - x**5/30 + 19*x**2. Let j(a) be the third derivative of u(a). Find k such that j(k) = 0.
-3
Suppose -4*b - 2*i - 2 + 16 = 0, -2*i = -4*b + 2. Let k = 26/11 - b. Let 0*o - 2/11*o**4 - k*o**3 + 0 + 0*o**2 = 0. Calculate o.
-2, 0
Let g(d) be the first derivative of -2*d**6/15 - 4*d**5/5 - 5*d**4/3 - 4*d**3/3 + 10*d - 8. Let t(l) be the first derivative of g(l). Factor t(u).
-4*u*(u + 1)**2*(u + 2)
Suppose 9*l - 6188 = -4*l. Factor 0*j**2 + 96*j - 262 + l + 4*j**2 + 362.
4*(j + 12)**2
Suppose -h = 10*h + 31*h. Let -8/13*r + 0 + h*r**2 - 2/13*r**5 + 10/13*r**3 + 0*r**4 = 0. Calculate r.
-2, -1, 0, 1, 2
Let l be -2 + (-96)/(-46) - 3484/(-1196). Let r(w) be the first derivative of 4/3*w**l + 0*w**2 - 11 + 0*w + w**4. Factor r(p).
4*p**2*(p + 1)
Let k = 43/8 - 31/8. Factor -k*d**4 + 3*d**2 - 3/2 + 0*d**3 + 0*d.
-3*(d - 1)**2*(d + 1)**2/2
Suppose -4*z + 4 = -4. Let d = 1 + 1. Find k, given that -2*k - d*k**5 - k**3 + 3*k**3 + z*k**3 = 0.
-1, 0, 1
What is n in 0 + 13/5*n**3 + 0*n + 0*n**2 + 2/5*n**5 - 27/5*n**4 = 0?
0, 1/2, 13
Let j(a) be the second derivative of -a**4/4 + 11*a**3/2 + 18*a**2 + 110*a. Factor j(m).
-3*(m - 12)*(m + 1)
Let k(j) = -15*j**2 + 33*j + 12. Let m = -27 + 26. Let u(q) = -q**2 + q - 1. Let y(a) = m*k(a) + 12*u(a). Factor y(w).
3*(w - 8)*(w + 1)
Let g(l) be the first derivative of 3*l**5/80 + l**4/16 - l**3/8 - 3*l**2/8 - 20*l - 10. Let f(w) be the first derivative of g(w). What is m in f(m) = 0?
-1, 1
Let c(w) = -w**3 - 39*w**2 - 871*w - 4921. Let t(m) = -3*m**3 - 120*m**2 - 2612*m - 14761. Let q(g) = -11*c(g) + 4*t(g). Factor q(y).
-(y + 17)**3
Find m such that 4*m**4 + 4*m**3 + 2*m**5 - 6*m**3 - 42*m**2 + 38*m**2 = 0.
-2, -1, 0, 1
Factor -11/2 + 1/2*q**2 - 5*q.
(q - 11)*(q + 1)/2
Suppose 3/10 + 7/10*h + 1/5*h**2 - 1/2*h**4 - 3/5*h**3 - 1/10*h**5 = 0. Calculate h.
-3, -1, 1
Let o = 2/965 - -961/1930. Determine a so that -o*a**2 + 0 - 1/2*a = 0.
-1, 0
Let l(c) = c + 1. Let t(f) = 7*f**2 + 3*f + 12. Let x(h) = 6*h**2 + 4*h + 11. Let r(m) = 5*t(m) - 6*x(m). Let n(o) = -6*l(o) - r(o). Factor n(j).
j*(j + 3)
Let l(j) be the third derivative of j**8/1008 - j**6/180 + j**4/72 - 2*j**2 - 24. Factor l(o).
o*(o - 1)**2*(o + 1)**2/3
Find c, given that -4*c**4 + 4*c**5 + 104 + 4*c**2 - 4*c**3 - 104 = 0.
-1, 0, 1
Factor 3/4*k**2 + 75/4 - 15/2*k.
3*(k - 5)**2/4
Let z = -42 - -46. Let h be (5 - z)/(2/6). Solve -2*b + 2*b**h - 4/7*b**2 + 4/7 = 0 for b.
-1, 2/7, 1
Suppose -623 = -6*a - a. Let h = a + -621/7. Factor 0*f + 0 + 4/7*f**2 + 6/7*f**3 + h*f**4.
2*f**2*(f + 1)*(f + 2)/7
Let t(m) be the second derivative of 16*m - 3/80*m**5 + 0*m**2 - 9/8*m**3 + 3/8*m**4 + 0. Factor t(c).
-3*c*(c - 3)**2/4
Factor 2/3*k**2 - 14/3*k - 12.
2*(k - 9)*(k + 2)/3
Let t be 6*(-16)/(-42) - (-14)/(-49). Let y(p) be the first derivative of 0*p + 5/2*p**4 - 8/5*p**5 + 0*p**t - 2/3*p**3 - 4. Factor y(w).
-2*w**2*(w - 1)*(4*w - 1)
Let a be ((-93)/12 + 5)/(2/(-1240)). Factor 23*n**3 + a*n - 220*n**2 + 35*n**4 + 2*n**3 - 1645*n.
5*n*(n - 2)*(n + 3)*(7*n - 2)
Let i(n) = -7*n**4 - 4*n**3 - 15*n**2 + 2*n + 4. Let q(p) = -19*p**4 - 12*p**3 - 44*p**2 + 4*p + 11. Let g(s) = -11*i(s) + 4*q(s). Suppose g(l) = 0. What is l?
-1, 0