*o**2/7 - 58*o. What is t in k(t) = 0?
-2, -3/7, 1
Let h be -1 + -2 + 4*(-169)/(-156). Determine l, given that 22/3*l + h + 10/3*l**2 = 0.
-2, -1/5
Factor 40 - 56 - 4*u**2 + 16*u + 0*u.
-4*(u - 2)**2
Let p(n) be the third derivative of n**5/20 - 3*n**4/8 + n**3 + 20*n**2. Factor p(b).
3*(b - 2)*(b - 1)
Let n = -29 + 29. Let c be 5/4 - (n - -1). Factor 0 - 1/4*p**5 + 0*p**3 - 1/2*p**4 + 1/2*p**2 + c*p.
-p*(p - 1)*(p + 1)**3/4
Let v(d) be the second derivative of -d**7/21 - d**6/15 + 7*d**5/10 + 13*d**4/6 + 2*d**3 + 12*d. Suppose v(h) = 0. Calculate h.
-2, -1, 0, 3
Suppose -2*i + 96 = 2*i. Let n = i + -20. Factor -2/3*t + 0 - 1/3*t**n - t**3 + 1/3*t**5 + 5/3*t**2.
t*(t - 1)**3*(t + 2)/3
Factor 5/3*s**4 - 13/2*s**3 - 34/3*s + 4 + 37/3*s**2 - 1/6*s**5.
-(s - 3)*(s - 2)**3*(s - 1)/6
Factor 6/7*f**2 + 8/7*f + 3/7 - 1/7*f**4 + 0*f**3.
-(f - 3)*(f + 1)**3/7
Let n = -101/4 - -26. Determine u so that 0 + 5/2*u**4 + 1/4*u + n*u**5 + 3*u**3 + 3/2*u**2 = 0.
-1, -1/3, 0
Let o(n) = 16*n**3 - 25*n**2 + 10*n + 6. Let m(b) = b**3 + 1. Let c(i) = 6*m(i) - o(i). Find l such that c(l) = 0.
0, 1/2, 2
Let u(j) be the third derivative of -j**8/33600 - j**7/12600 + j**6/3600 + j**5/600 + j**4/4 + 3*j**2. Let y(d) be the second derivative of u(d). Factor y(t).
-(t - 1)*(t + 1)**2/5
Factor -2/7*h**2 + 2/7*h + 0.
-2*h*(h - 1)/7
Let b(a) be the second derivative of -7*a**5/80 - 5*a**4/48 + a**3/12 + 31*a. Factor b(p).
-p*(p + 1)*(7*p - 2)/4
Suppose x = 3*h - 5, 3*x = 4*h - 2*x - 3. Let i(s) be the first derivative of -h*s**2 + 2/3*s**3 + 3 + 2*s. Find d such that i(d) = 0.
1
Let v(g) be the third derivative of 0 + 1/130*g**5 + 1/52*g**4 - 7/780*g**6 + 1/455*g**7 - 7*g**2 - 2/39*g**3 + 0*g. Factor v(l).
2*(l - 1)**3*(3*l + 2)/13
Solve 12/7*x**3 + 0 - 16/7*x**4 - 16/7*x**5 + 4/7*x + 16/7*x**2 = 0 for x.
-1, -1/2, 0, 1
Let s be 142/420 - (-14)/(-42). Let w(x) be the third derivative of 0*x + 0*x**3 + 1/60*x**5 + 0 + s*x**7 + 0*x**4 - 2*x**2 + 1/60*x**6. Factor w(f).
f**2*(f + 1)**2
Let c(v) be the third derivative of 0*v**3 + 4*v**2 + 0 + 1/150*v**5 + 1/60*v**4 + 0*v. Factor c(d).
2*d*(d + 1)/5
Let a(m) be the second derivative of m**7/1260 - m**6/180 - m**5/20 + m**4/3 - m. Let o(t) be the third derivative of a(t). Factor o(c).
2*(c - 3)*(c + 1)
Let u be 1/18 - (-4)/24. Factor -2/9 + u*f**2 + 0*f.
2*(f - 1)*(f + 1)/9
Let w(p) be the first derivative of -p**3 + 3*p**2 - 3*p - 7. Factor w(u).
-3*(u - 1)**2
Let r(d) be the first derivative of d**4/12 - 5. Factor r(u).
u**3/3
Let h(x) be the second derivative of -x**6/30 + x**5/10 - 3*x. Factor h(z).
-z**3*(z - 2)
Let j(h) = -20*h**4 + 40*h**3 - 116*h**2 + 144*h - 80. Let r(i) = i**4 - i**2 + i + 1. Let q(w) = -j(w) - 16*r(w). Factor q(d).
4*(d - 4)**2*(d - 1)**2
Suppose -k - 3 = -0*k. Let z be (10/9)/((-1)/k). Suppose -1/3 - 10/3*n**2 - 1/3*n**5 - z*n**3 - 5/3*n - 5/3*n**4 = 0. Calculate n.
-1
Suppose 3*y = 2*q - 1 + 5, 8 = 3*y - 4*q. Let m(r) = 4*r - 24. Let x be m(6). Factor -1/2*d**4 + y + 1/4*d + x*d**3 + 1/2*d**2 - 1/4*d**5.
-d*(d - 1)*(d + 1)**3/4
Let a be (-9 + 9)/(-4 + 2 - 0). Let v(j) be the second derivative of -5/9*j**4 + j**3 + a - 2/3*j**2 - 3*j + 1/10*j**5. Factor v(m).
2*(m - 2)*(m - 1)*(3*m - 1)/3
Let g(t) be the second derivative of -t**10/136080 + t**9/34020 - t**7/5670 + t**6/3240 - t**4/3 - t. Let r(b) be the third derivative of g(b). Factor r(j).
-2*j*(j - 1)**3*(j + 1)/9
Factor -6/11*f**4 + 0*f + 2/11*f**5 + 0 + 4/11*f**3 + 0*f**2.
2*f**3*(f - 2)*(f - 1)/11
Let w(x) be the second derivative of -x**8/42 + 3*x**7/35 - x**6/10 + x**5/30 + 3*x**2/2 + 2*x. Let o(g) be the first derivative of w(g). Solve o(k) = 0 for k.
0, 1/4, 1
Let x be 1/(4/4) + 2. Let w(m) be the first derivative of 1/14*m**4 + 2/21*m**3 + x - 2/7*m - 1/7*m**2. Let w(q) = 0. Calculate q.
-1, 1
Let p(s) = s**2 - 7*s - 8. Let g be (-1 + 2)/((-2)/(-16)). Let j be p(g). Suppose -o + j*o**2 + o**2 - 3*o**2 + 2*o**4 + o**5 = 0. Calculate o.
-1, 0, 1
Let a(h) = -8*h - 44. Let p be a(-6). Let n(f) be the second derivative of -1/54*f**p + 0*f**3 - f + 0*f**2 + 0. Determine t, given that n(t) = 0.
0
Let y = -131 + 135. Solve 2/11*h - 10/11*h**3 + 2/11 - 4/11*h**y - 6/11*h**2 = 0 for h.
-1, 1/2
Suppose 0*o = o - 2. Let d(q) be the first derivative of 1/6*q**2 - 1/3*q**3 + 1/4*q**4 - 1/15*q**5 + 0*q - o. Solve d(n) = 0.
0, 1
Let s(m) be the third derivative of -9*m**7/70 + m**6/20 + 9*m**5/20 - m**4/4 + 6*m**2. What is w in s(w) = 0?
-1, 0, 2/9, 1
Let s(q) be the third derivative of q**10/20160 + q**9/10080 - q**8/4480 - q**7/1680 - q**4/12 + 4*q**2. Let u(f) be the second derivative of s(f). Factor u(i).
3*i**2*(i - 1)*(i + 1)**2/2
Let m(j) = j**3 - j**2 - j + 1. Suppose 4 + 4 = -2*h. Let v(q) = q**3 - q**2 - q + 1. Let l(f) = h*v(f) + m(f). Factor l(p).
-3*(p - 1)**2*(p + 1)
Let s(h) = -2*h**2 + 12*h + 6. Let a(i) = i**2 - 8*i - 4. Let f(c) = 8*a(c) + 5*s(c). Determine l so that f(l) = 0.
-1
Let f(n) be the second derivative of 0 + 3/40*n**5 + 2*n - 1/8*n**4 - 1/4*n**3 + 3/4*n**2. Factor f(h).
3*(h - 1)**2*(h + 1)/2
Factor -4/7*x**2 - 2/7*x**5 + 2/7*x + 4/7*x**4 + 0*x**3 + 0.
-2*x*(x - 1)**3*(x + 1)/7
Suppose -18 = -q - 5*q. Let n(t) be the first derivative of -3*t**2 + 2/3*t**q + 3/2*t**4 - 2*t + 2. Determine i so that n(i) = 0.
-1, -1/3, 1
Let -10*k**2 - 8*k - 6*k - 22*k**3 + 20*k**3 - 6 = 0. Calculate k.
-3, -1
Find q, given that 4*q**2 - 4/3*q**3 + 0 - 8/3*q = 0.
0, 1, 2
Let f be 4/(-3) + (-42)/(-27). What is v in -2/9*v**3 + 0*v + 0*v**2 + 0 + f*v**4 = 0?
0, 1
Let c(z) = 3 - z - z**2 - 6 + 4. Let o(b) = 5*b**2 + 6*b - 6. Let l(p) = 6*c(p) + o(p). Factor l(v).
-v**2
Suppose -2*m + 6*m - 5*u - 5 = 0, 4*m - 3*u - 3 = 0. Let k be m - 7/(63/(-6)). Suppose 0 + 2/3*a**3 + 0*a**2 - k*a**4 + 0*a = 0. What is a?
0, 1
Let u be 2/44*-7 - 6/(-12). Let -u*p**4 + 2/11 - 4/11*p**3 + 4/11*p + 0*p**2 = 0. Calculate p.
-1, 1
Find g such that 0*g - 1/2*g**4 + 0 - 1/4*g**5 + 0*g**2 + 0*g**3 = 0.
-2, 0
Let r(y) = y**3 - 12*y**2 - 15*y + 13. Let q be r(13). Let k = q - -13. Factor -z + 0 - 1/2*z**4 + k*z**3 + 3/2*z**2.
-z*(z - 1)**2*(z + 2)/2
Factor 0*c**2 - 65*c**4 + 20*c**3 + 10*c**2 - 60*c + 60*c**4 - 45.
-5*(c - 3)**2*(c + 1)**2
Determine t so that 10*t**4 - 5*t**2 - 9*t**4 - t**3 + 3*t**2 + 0*t**2 = 0.
-1, 0, 2
Determine u so that 0 + 1/2*u**2 + 3/2*u = 0.
-3, 0
Let z(w) = 6*w**2 - 4*w + 11. Let c(y) = y**2 - y + 2. Let s(j) = 33*c(j) - 6*z(j). Let s(l) = 0. Calculate l.
-3, 0
Factor -2/3*j**4 + 0 + 2/9*j**5 + 2/3*j**3 - 2/9*j**2 + 0*j.
2*j**2*(j - 1)**3/9
Let h = 519 - 2073/4. Factor -1/4*m**4 - 1/4*m - h*m**2 - 3/4*m**3 + 0.
-m*(m + 1)**3/4
Let h = 59/2 - 29. Determine a so that 1/4*a**2 - 3/4*a + h = 0.
1, 2
Factor -16*h**2 + h**3 + 3*h**3 + 20*h**2.
4*h**2*(h + 1)
Let o be (-2)/5*(-100)/(-4). Let w = -8 - o. Factor 4*j**w + j**4 - 2*j**2 - j**3 - 4*j**2.
j**2*(j - 2)*(j + 1)
Let z be 4/9*((-124)/16 + 8). Factor -1/9*f**4 - 1/3*f**3 + z*f**2 + 2/9*f + 0 + 1/9*f**5.
f*(f - 2)*(f - 1)*(f + 1)**2/9
Let b(c) be the third derivative of 0*c + 0 - 3*c**2 - 2*c**4 + 7/20*c**5 + 2*c**3. Factor b(z).
3*(z - 2)*(7*z - 2)
Let v = -112 - -115. Solve -1/2*u + 0*u**2 + 0 + 1/2*u**v = 0 for u.
-1, 0, 1
Let m(g) be the first derivative of -3*g**4/20 - g**3/5 + 3*g**2/5 - 39. Find x, given that m(x) = 0.
-2, 0, 1
Let f(d) be the third derivative of d**8/6720 - d**7/560 + d**5/10 + 3*d**2. Let u(g) be the third derivative of f(g). Factor u(y).
3*y*(y - 3)
Suppose 4*z + 56 = 4*p, -3*p + 4*z = -p - 36. Suppose p = 5*n - 80. Factor -3*y - 10*y + 4 - y + n*y**3.
2*(y + 1)*(3*y - 2)*(3*y - 1)
Let d(u) be the first derivative of 1/3*u**6 + u**2 + 1 - 2*u - u**4 + 4/3*u**3 - 2/5*u**5. Determine n so that d(n) = 0.
-1, 1
Let d = -21 - -13. Let f be d/(-2 - 0) + -1. Find z such that 0*z**3 + 0*z**3 - 2*z**f + z**2 = 0.
0, 1/2
Let m(j) be the second derivative of 2/7*j**2 + 0 + 2*j - 1/21*j**4 + 1/21*j**3 - 1/70*j**5. Let m(b) = 0. What is b?
-2, -1, 1
Determine j so that -2/3 - 34/9*j**2 - 8/9*j**3 - 32/9*j = 0.
-3, -1, -1/4
Let b(j) be the second derivative of 0 - 1/2*j**3 - 4*j + 1/12*j**4 + j**2. Factor b(w).
(w - 2)*(w - 1)
Let v be 1 + -1*1/(-1). Suppose -5*x - 2*k + 16 = 2*k, -5*k = -4*x + 21. Factor 4*p**2 - p**2 - x*p**v.
-p**2
Suppose 0*n - n + 4 = 0. Let r(z) be the second