 of -1/4*q**5 + 1/3*q**3 + 0 + 0*q**2 - 1/4*q**j + 3*q. Solve h(t) = 0 for t.
-1, 0, 2/5
Let t(a) be the third derivative of -6*a**2 + 0*a**4 + 1/240*a**5 - 1/24*a**3 + 0 + 0*a. Find z, given that t(z) = 0.
-1, 1
Suppose -3*f - 3*u + 2*u - 4 = 0, 0 = -2*f - u - 4. Let o be 6 + (-77)/(-14)*-1. Find k, given that 0*k + k**2 + f - 1/2*k**4 - o*k**3 = 0.
-2, 0, 1
Let o(m) be the first derivative of -2*m**3/45 - 4*m**2/3 + 3. Factor o(l).
-2*l*(l + 20)/15
Let b(d) be the third derivative of 0*d + 0 - 1/20*d**6 + 1/10*d**5 - 1/12*d**4 + 1/105*d**7 + 0*d**3 - 4*d**2. Let b(t) = 0. What is t?
0, 1
Let -10*o**2 - 11 - 1/2*o**3 + 43/2*o = 0. What is o?
-22, 1
Let v(w) be the second derivative of -w**4/6 - w**3 + 18*w**2 - 5*w. Factor v(m).
-2*(m - 3)*(m + 6)
What is u in 7894 + 0*u**2 - 7884 - 5*u**2 + 5*u = 0?
-1, 2
Let c(w) be the second derivative of w**6/105 + 3*w**5/35 + 13*w**4/42 + 4*w**3/7 + 4*w**2/7 - w - 588. Suppose c(t) = 0. Calculate t.
-2, -1
Let g(j) be the first derivative of -3*j**4/28 + 6*j**3/7 - 27*j**2/14 + 12*j/7 - 217. Factor g(y).
-3*(y - 4)*(y - 1)**2/7
Let z(m) be the second derivative of 1/27*m**3 + 0*m**2 - 1/189*m**7 + 0 - 1/27*m**4 + 5*m + 2/135*m**6 + 0*m**5. Let z(q) = 0. Calculate q.
-1, 0, 1
Let v(b) be the second derivative of -b**4/12 + 2*b**3 + 13*b**2/2 + 455*b. Factor v(j).
-(j - 13)*(j + 1)
Factor -17*a + 57*a - 4*a**2 - 28*a + 0*a**2.
-4*a*(a - 3)
Let k(n) = -n**2 + 11*n - 15. Let c be k(9). Factor 25*r + 15*r + 10*r**2 - 25*r**c - 63 + 23 + 60*r.
-5*(r - 2)*(r + 2)*(5*r - 2)
Let n(q) be the third derivative of -q**5/20 - 5*q**4/8 + 18*q**3 - 168*q**2. Factor n(m).
-3*(m - 4)*(m + 9)
Factor 4/3 + 2/9*z + 2/9*z**3 - 8/9*z**2.
2*(z - 3)*(z - 2)*(z + 1)/9
Let h = -16 + 3. Let a = -1 - h. Factor 2*g**2 - a*g**2 + 3*g**3 - 6 - g**3 + 14*g.
2*(g - 3)*(g - 1)**2
Let x(k) be the third derivative of -k**5/20 - 19*k**4/8 + 10*k**3 - 2*k**2 + 15*k. Solve x(h) = 0.
-20, 1
Let x(t) = 3*t**2 + 13*t + 11. Let k(r) be the second derivative of r**3/6 - r**2/2 - 9*r. Let j(w) = -k(w) + x(w). Factor j(s).
3*(s + 2)**2
Let d(g) be the third derivative of g**8/168 + g**7/5 + 41*g**6/15 + 96*g**5/5 + 72*g**4 + 144*g**3 - 7*g**2. Suppose d(t) = 0. Calculate t.
-6, -2, -1
Let b(u) = -16*u**3 - 68*u**2 - 54*u - 18. Let z(x) = -x**3 - 3*x**2 - x - 1. Let f(n) = 2*b(n) - 36*z(n). Determine j so that f(j) = 0.
-2, 0, 9
Let r be 2 + -1 - (-5 + 10 + -6). Let -1290*c + 90*c**r + 1390*c + 55 - 15 + 5*c**4 + 35*c**3 = 0. Calculate c.
-2, -1
Suppose 0 = -7*f + 9*f - y - 2, 3*f - 8 = -y. Let 16/3*l**f - 4/3*l**4 - 4/3*l**3 + 4/3 - 14/3*l + 2/3*l**5 = 0. What is l?
-2, 1
Let f = -1 - -3. Let a be (-3 - -4)*(-4)/(-2). Factor 3*y**a + 0 - 2*y + 0 - 2*y**3 - 7*y**f.
-2*y*(y + 1)**2
Let g = -422 + 425. Let c(p) be the third derivative of 1/4*p**4 + 0 - 1/20*p**6 + 0*p**5 - 1/2*p**g + p**2 + 0*p + 1/70*p**7. Factor c(f).
3*(f - 1)**3*(f + 1)
Suppose 210*j - 1855 + 928 + 927 + 3*j**2 = 0. Calculate j.
-70, 0
Let d = 1495/3472 - 1/496. Solve -d*s + 6/7 - 3/7*s**2 = 0.
-2, 1
Let x be (22/66)/((-2)/(-12)) + -2. Let j(n) be the first derivative of x*n + 0*n**4 + 0*n**2 + 0*n**3 + 2/25*n**5 + 5 - 1/15*n**6. Factor j(a).
-2*a**4*(a - 1)/5
Suppose 0 = -4*z + 5*t - 6*t + 10, 5*z - 7 = -4*t. Let l(m) be the second derivative of 0*m**2 + 0 + 1/4*m**4 + 0*m**z - 13*m. Suppose l(h) = 0. What is h?
0
Suppose 5*l - 15 = -3*s - 2*s, 4*s - 4*l - 12 = 0. Factor -4*k**2 + 0*k**3 - 12*k - 1 + 9 + 6*k**s + 6*k**3 - 4*k**4.
-4*(k - 2)*(k - 1)**2*(k + 1)
Suppose -2*w**4 + 22232*w**3 - 120*w**2 - 2*w**4 - 22300*w**3 = 0. Calculate w.
-15, -2, 0
Let v(n) = 2. Let o(j) = j**3 + j**2 + 1. Let r(s) = -s**2 + 9*s + 8. Let x be r(10). Let d(k) = x*o(k) + v(k). Let d(f) = 0. Calculate f.
-1, 0
Suppose -6 = 6*i - 24. Suppose -3 = -3*m + i. Factor -4*p + p**2 + 1 + 0*p**m + 2*p**2.
(p - 1)*(3*p - 1)
Let i(h) be the first derivative of -3*h**5 + 85*h**4/4 - 140*h**3/3 + 30*h**2 + 21. Let i(u) = 0. Calculate u.
0, 2/3, 2, 3
Let l(c) be the third derivative of -5/12*c**4 + 0*c + 11*c**2 - 1/60*c**5 + 0 - 25/6*c**3. Determine o so that l(o) = 0.
-5
Find a such that 16*a**5 - 208/3*a**3 - 76/3*a**4 - 8/3*a**2 + 64/3*a - 4 = 0.
-1, 1/4, 1/3, 3
Let p(b) be the third derivative of 0 + 0*b**4 + 0*b - 1/2205*b**7 + 0*b**3 + 2*b**2 + 0*b**6 + 0*b**5. What is i in p(i) = 0?
0
Let k(t) be the first derivative of t**4/4 - t**3/3 - 2*t**2 + 4*t - 136. What is w in k(w) = 0?
-2, 1, 2
Let a = 3778 - 3778. Let 3/5 - 6/5*s - 3/5*s**4 + a*s**2 + 6/5*s**3 = 0. What is s?
-1, 1
Let t(h) = 2*h**2 - 20*h - 16. Let q(w) = 10*w**2 - 98*w - 80. Let x(c) = 6*q(c) - 28*t(c). Factor x(d).
4*(d - 8)*(d + 1)
Let c be 44/(-55) + 78/10. Suppose -4*x = 7 - c. Factor x*y**3 + 1/5*y**2 + 0 - 1/5*y**4 + 0*y.
-y**2*(y - 1)*(y + 1)/5
Let a(q) be the first derivative of 5*q**6/6 - 8*q**5 + 30*q**4 - 160*q**3/3 + 40*q**2 - 263. Factor a(w).
5*w*(w - 2)**4
Let 100*x**2 + 860*x + 122*x**2 - 220*x**2 + 92450 = 0. Calculate x.
-215
Find h such that -294*h**3 - 65*h**2 - 344*h**2 + 69*h**2 - 216*h**2 - 290*h - 2*h**4 - 26*h**2 = 0.
-145, -1, 0
Let r(u) be the second derivative of 7*u**5/4 - 205*u**4/6 + 265*u**3/6 + 55*u**2 + 2*u + 57. Solve r(f) = 0 for f.
-2/7, 1, 11
Let z(u) be the second derivative of -u**4/12 - 4*u**3/3 + 9*u**2/2 + 4*u. Solve z(g) = 0.
-9, 1
Let s = -6/5 + 2. Factor s*v**2 + 36/5 - 24/5*v.
4*(v - 3)**2/5
Let p(x) = -2*x**2 - x + 173. Let y be p(9). What is a in 0*a**y + 0*a**3 + 1/3*a**5 + 0*a + 0*a**4 + 0 = 0?
0
Let p(m) = 7*m**4 - 25*m**3 + 32*m**2 + 18*m - 38. Let j(b) = -15*b**4 + 50*b**3 - 65*b**2 - 35*b + 75. Let l(h) = 2*j(h) + 5*p(h). Factor l(z).
5*(z - 2)**3*(z + 1)
Let f = -4 - -4. Suppose f = -5*l + t + 15, 0*l - 5*l - 10 = 4*t. Factor -2*m - 4 - 1 + m**l + 4 + 2.
(m - 1)**2
Let t(d) be the first derivative of d**3 - 15*d**2 + 27*d - 32. Solve t(m) = 0.
1, 9
Let p(s) be the third derivative of 0*s**3 + 0*s**4 + 1/210*s**6 + 1/2352*s**8 + 2/735*s**7 - 12*s**2 + 0 + 0*s + 0*s**5. Factor p(c).
c**3*(c + 2)**2/7
Let x be (162/(-48))/3*(-12)/9. Determine a so that 0*a**2 + 0 - x*a**3 + 0*a = 0.
0
Let h(u) be the third derivative of u**7/735 + u**6/60 - 4*u**5/105 + 150*u**2. Factor h(y).
2*y**2*(y - 1)*(y + 8)/7
Let c(n) be the third derivative of n**8/100800 - n**7/8400 - 11*n**5/60 - 5*n**2. Let l(j) be the third derivative of c(j). Factor l(v).
v*(v - 3)/5
Let o(v) be the first derivative of 0*v - 4 + 2/7*v**2 - 4/21*v**3. Factor o(j).
-4*j*(j - 1)/7
Suppose -101*r + 100*r = -2. Let m(f) be the third derivative of 0*f - 1/360*f**6 + 0 - r*f**2 + 1/60*f**5 - 2/9*f**3 + 0*f**4. Suppose m(u) = 0. Calculate u.
-1, 2
Suppose 2*o + 25 = 3*d + 26, -32 = -4*o - 4*d. Let j(r) be the second derivative of 1/48*r**4 - o*r + 1/2*r**2 - 1/6*r**3 + 0. Solve j(x) = 0.
2
Suppose 2*q - 28 = 4*a + 62, 5*q = 3*a + 232. Suppose -142 = -5*v - q. Determine o, given that 11*o**2 + 19 - 2*o + 7*o**4 - v - 16*o**3 = 0.
0, 2/7, 1
Let s(l) be the third derivative of -l**7/420 - l**6/80 - l**5/120 + l**4/16 + l**3/6 + 589*l**2. Determine u, given that s(u) = 0.
-2, -1, 1
Determine y so that 6036*y**2 + 14*y**4 + 288 + 6*y**4 - 4972*y**2 + 1104*y + 268*y**3 = 0.
-6, -1, -2/5
Let p(c) be the first derivative of 0*c**2 - 8 - 3/25*c**5 + 0*c - 1/30*c**6 + 0*c**3 + 0*c**4. Factor p(n).
-n**4*(n + 3)/5
Let x(p) be the third derivative of -p**7/14 - 2*p**6/3 - 5*p**5/4 + 15*p**4/4 - 2*p**2 - 4*p. Factor x(l).
-5*l*(l + 3)**2*(3*l - 2)
Let r(n) = 10*n + 342. Let o be r(-34). Let z(i) be the first derivative of -2/3*i**o + 1 + 4/3*i + 1/9*i**3. Factor z(h).
(h - 2)**2/3
Let c = -5/362 + -72365/2534. Let a = c + 29. Determine z so that -z**2 + a*z - 1/7*z**4 + 0 + 5/7*z**3 = 0.
0, 1, 3
Let v(g) be the third derivative of g**9/12096 - g**8/1344 + g**7/336 - g**6/144 + g**5/6 + 4*g**2. Let k(o) be the third derivative of v(o). Factor k(z).
5*(z - 1)**3
Let d(z) be the third derivative of z**6/180 - z**5/10 + z**4/2 - 9*z**2 - 27*z. Let d(u) = 0. Calculate u.
0, 3, 6
Let o = 915172/529 + -1730. Let b = o - -2090/6877. Factor 14/13*d**4 - 2/13 - 16/13*d**3 + 4/13*d - 4/13*d**5 + b*d**2.
-2*(d - 1)**4*(2*d + 1)/13
Factor -16/7*z**2 - 2/7*z**3 + 22/7*z + 36/7.
-2*(z - 2)*(z + 1)*(z + 9)/7
Suppose 173*g = 174*g - 4. Let h(v) be the first d