 0*y + 0*y**2 - 1/5*y**5 + 0*y**3 + 2. Factor k(h).
-h**3*(h + 1)**2/2
Let o be (-2 - 0)/(2/(-31)). Let x = -29 + o. Factor 0 - 2/7*m**x - 4/7*m.
-2*m*(m + 2)/7
Let o(x) be the second derivative of -2*x**6/15 + 2*x**5/5 - x**4/3 + 18*x. Factor o(m).
-4*m**2*(m - 1)**2
Let u be (8/10)/(6/15). Suppose 3 = 3*p - 2*p. Factor -2/9*w**p - 2/9*w - 4/9*w**u + 0.
-2*w*(w + 1)**2/9
Factor -2/15*j**2 + 0 + 0*j.
-2*j**2/15
Suppose 0 = v - 0*z + 2*z - 1, -v = -5*z - 8. Let f(k) be the first derivative of 3*k**v + 3 - 5*k**3 + k**3. Determine b so that f(b) = 0.
0
Suppose -4*r - 5*n + 25 = r, -3*r - 5*n + 25 = 0. Let l = 2 + r. Factor -14*y**2 + 4*y + l*y**3 + 5*y**3 + 3*y**3.
2*y*(y - 1)*(5*y - 2)
Suppose -8*y**4 - 18*y + 7 + 2*y**5 + 5 + 28*y**2 - 16*y = 0. What is y?
-2, 1, 3
Let z(k) be the third derivative of -k**6/40 - k**5/5 - k**4/2 - 2*k**2. Solve z(p) = 0 for p.
-2, 0
Let 285*h**3 - 283*h**3 - 3 - 2*h**5 + 3 = 0. Calculate h.
-1, 0, 1
Let f = -428/7183 + -2/1959. Let v = 37/66 + f. Find x such that 1/2*x**2 + 0 - 7/4*x**3 + 7/4*x**5 - v*x**4 + 0*x = 0.
-1, 0, 2/7, 1
Let i(l) be the second derivative of 4*l**6/75 - 7*l**5/50 + l**4/15 + l**3/15 - 18*l. Factor i(o).
2*o*(o - 1)**2*(4*o + 1)/5
Let c(f) = 29*f**4 - 4*f**3 - 83*f**2 + 72*f - 14. Let r(x) = -x**4 - x**3 + x**2 + 1. Let j be (-3)/(-3) + 0/2. Let q(a) = j*c(a) + 2*r(a). Factor q(g).
3*(g - 1)**2*(g + 2)*(9*g - 2)
Factor 6 - 3/8*p**3 + 27/8*p**2 - 9*p.
-3*(p - 4)**2*(p - 1)/8
Let j be 0 + 1 + 5 + -3. Solve -3*s**5 - j*s**5 - 4*s + 2*s**4 + 4*s = 0 for s.
0, 1/3
Let q(y) be the second derivative of 0*y**4 + 0*y**2 + 7*y + 0*y**5 + 0*y**3 - 1/105*y**6 + 0. Factor q(r).
-2*r**4/7
Let p be 2*(-5)/33 + (-20)/(-30). Factor -p - 2/11*a + 2/11*a**2.
2*(a - 2)*(a + 1)/11
Let w = -104 - -104. Let w*p**2 + 1/2*p**3 - 1 - 3/2*p = 0. Calculate p.
-1, 2
Let g(z) be the first derivative of -z**6/21 + 4*z**5/35 + z**4/7 - 8*z**3/21 - z**2/7 + 4*z/7 - 14. Suppose g(p) = 0. What is p?
-1, 1, 2
Let q(k) = 5*k**4 + 6*k**3 - 3*k**2 - 4*k + 6. Let j(p) = 4*p**4 + 5*p**3 - 2*p**2 - 3*p + 5. Let f(v) = 6*j(v) - 5*q(v). Determine d so that f(d) = 0.
-1, 0, 2
Let g be 15/4 + 10/40. Suppose 2*n + 3*y - 1 = n, g*y = 4*n - 36. Find t such that -3*t**5 + 4*t**2 + 2*t - n*t**4 + t**4 + 2*t**2 + t = 0.
-1, 0, 1
Let f(x) be the second derivative of 0*x**2 + 1/42*x**4 + 0*x**3 + 0 + 2*x - 2/35*x**5. Suppose f(o) = 0. Calculate o.
0, 1/4
Let l(n) = -8*n**5 - 23*n**4 + 12*n**3 + 17*n**2 - 4*n + 17. Let h(r) = -3*r**5 - 8*r**4 + 4*r**3 + 6*r**2 - r + 6. Let m(d) = 11*h(d) - 4*l(d). Solve m(o) = 0.
-1, 1, 2
Let d be 4 + 1/(3/9). Let g = d - 5. Let p**g - 4*p - 8 + 2*p**2 + 9 = 0. Calculate p.
1/3, 1
Solve -3/2*m + 0 - 1/2*m**2 = 0.
-3, 0
Let c(n) = 4*n**5 - 5*n**4 - 5*n**3 + 8*n**2 - 4*n + 5. Let b(s) = s**5 - s**4 - s**3 + s + 1. Let w(d) = -3*b(d) + c(d). Find r, given that w(r) = 0.
-2, 1
Let t(i) be the second derivative of 2*i**4/21 - 2*i**3/21 - 12*i**2/7 + 12*i. Factor t(u).
4*(u - 2)*(2*u + 3)/7
Let z(b) be the second derivative of 1/54*b**4 - 1/30*b**5 + 0*b**3 + 0 - 4/135*b**6 - 4*b + 0*b**2. Factor z(p).
-2*p**2*(p + 1)*(4*p - 1)/9
Let v(n) be the first derivative of -n**3/12 + n - 16. Find l, given that v(l) = 0.
-2, 2
Let u be -3*(-2 + (-9)/(-6)). Let b be (6/(-14))/(4/(-14)). Factor -u*q - b*q**2 - 1/2*q**3 - 1/2.
-(q + 1)**3/2
Let c(z) = -14*z**2 + 134*z - 202. Let t(d) = 2*d**2 - 19*d + 29. Let u(v) = -6*c(v) - 44*t(v). What is l in u(l) = 0?
4
Let j(u) be the first derivative of 1/21*u**3 + 0*u + 1/42*u**4 + 1/210*u**5 + u**2 - 4. Let g(y) be the second derivative of j(y). Factor g(t).
2*(t + 1)**2/7
Let x(d) be the second derivative of -3*d**7/35 - 2*d**6/5 - 37*d**5/50 - 2*d**4/3 - 4*d**3/15 - 3*d. Factor x(q).
-2*q*(q + 1)**2*(3*q + 2)**2/5
Factor 1/2 - m + 1/2*m**2.
(m - 1)**2/2
Factor -2/13*z**2 - 2/13*z + 4/13.
-2*(z - 1)*(z + 2)/13
Let y = -111748/17 + 6578. Let t = -410/119 + y. Factor 8/7 + t*f + 2/7*f**2.
2*(f + 2)**2/7
Find l such that -9*l + 0 - 2*l**2 - 2 + 13*l = 0.
1
Suppose -3*a - 6*f = -4*f - 20, 4*f + 4 = 5*a. Let i(w) be the first derivative of -a + w**2 + 2*w + 1/6*w**3. Factor i(q).
(q + 2)**2/2
Let r(o) be the second derivative of -o**6/150 + o**5/20 - 3*o**4/20 + 7*o**3/30 - o**2/5 + 6*o. What is g in r(g) = 0?
1, 2
Let d(l) be the third derivative of -l**6/40 - 3*l**5/20 - 3*l**4/8 - l**3/2 + 10*l**2. Find o, given that d(o) = 0.
-1
Let u(a) be the third derivative of a**6/120 - a**5/60 - a**2. Let d be u(1). Factor -2*n**2 + 1 + n + n**5 + 2*n**3 + d*n**3 + n**4 - 4*n**3.
(n - 1)**2*(n + 1)**3
Let h be (2/(-4))/(1/(-4)). Let p be 1/(2/(-2)) + 3. Factor i - 2*i**p + 6*i**2 - 5*i**h.
-i*(i - 1)
Let p(t) be the first derivative of t**5/15 - t**4/4 + t**3/3 - t**2/6 + 21. Factor p(k).
k*(k - 1)**3/3
Let l = 97/420 + -3/14. Let u(w) be the third derivative of 2*w**2 + 0*w + 0 - l*w**6 + 0*w**5 + 0*w**3 + 1/12*w**4. Factor u(f).
-2*f*(f - 1)*(f + 1)
Let a(r) be the second derivative of r**4/102 - 2*r**3/51 + r**2/17 + 16*r. Determine y, given that a(y) = 0.
1
Let j = 4 + -2. Factor -3*l + 1 + j*l + 0*l**2 + l**2 - l.
(l - 1)**2
Suppose 0 = 4*g - 3*g - 6. Suppose -1 = -m + 8. Solve -g + 6*f**5 - 3 - m*f**3 - 4*f**4 + 6*f - 3*f**3 + 8*f**2 + 5 = 0.
-1, 2/3, 1
Let r(v) be the first derivative of 2/7*v + 2/7*v**2 + 0*v**3 - 2/35*v**5 + 4 - 1/7*v**4. Factor r(u).
-2*(u - 1)*(u + 1)**3/7
Let v(x) be the third derivative of -x**8/23520 + x**7/2940 - x**6/1260 - x**4/6 - 2*x**2. Let h(b) be the second derivative of v(b). Factor h(z).
-2*z*(z - 2)*(z - 1)/7
Factor -1/2*k**2 + 2*k - 3/2.
-(k - 3)*(k - 1)/2
Let v(n) be the third derivative of n**8/84 - n**6/15 + n**4/6 - 6*n**2. Find t such that v(t) = 0.
-1, 0, 1
Let q be (-2)/((8 - 8) + -1). Factor 2/5*t**q + 12/5*t + 18/5.
2*(t + 3)**2/5
Let y(z) be the second derivative of -2*z**6/45 + z**5/5 - 2*z**4/9 + 18*z. Factor y(k).
-4*k**2*(k - 2)*(k - 1)/3
Let j(d) be the third derivative of -d**6/780 - 3*d**5/130 - 9*d**4/52 - 9*d**3/13 + 29*d**2. Let j(g) = 0. Calculate g.
-3
Let v(q) = 6*q**2 + 7*q. Let y(x) = -5*x**2 - 6*x + 1. Let h(j) = -4*v(j) - 5*y(j). Let z be h(-4). Factor 3*d**2 + z*d**2 + 0*d**2 - 4*d**2.
2*d**2
Factor 98*v**2 - 36*v**3 - 32 + 14 - 56*v + 26.
-2*(v - 2)*(2*v - 1)*(9*v - 2)
Suppose 0*q = q. Suppose q = o - 57 - 1. Let 4 + 145*v**2 + 117*v**4 - 29*v**5 + o*v**4 - 235*v**3 - 40*v - 20*v**5 = 0. What is v?
2/7, 1
Let r(s) be the first derivative of -s**4/28 - s**3/21 + s**2/14 + s/7 + 13. What is p in r(p) = 0?
-1, 1
Let k(h) be the third derivative of h**6/480 - h**5/48 - 55*h**2. Factor k(p).
p**2*(p - 5)/4
Suppose 3*u = 2*f + 13, 0 = 2*u - 3*f + 2*f - 8. What is m in -1/3*m - 2*m**u + 2/3 - 13/3*m**2 = 0?
-2, -1/2, 1/3
Let k = -2/177 - -191/1239. Let t(q) be the second derivative of 0 + 1/7*q**2 + k*q**3 + 1/14*q**4 - 2*q + 1/70*q**5. Suppose t(s) = 0. Calculate s.
-1
Let i be -2 - (52/(-4) - -1). What is q in -4*q**5 - q + 2*q**2 + q + 2*q - i*q**4 - 6*q**3 = 0?
-1, 0, 1/2
Suppose 22*q = 19*q. Let n(t) be the first derivative of 1/3*t**2 - 2 + 2/9*t**3 + q*t. Suppose n(z) = 0. Calculate z.
-1, 0
Let r(l) = 2*l + 59. Let v be r(0). Solve -4*i**5 - v*i**2 + 12*i**4 - 4*i**4 + 4*i + 51*i**2 = 0.
-1, 0, 1
Let o(u) = -u**3 + 6*u**2 - 4*u + 4. Let r(i) = -i**3 + 6*i**2 - 3*i + 4. Let g(l) = -6*o(l) + 5*r(l). Solve g(x) = 0 for x.
1, 4
Let c(g) be the first derivative of 3*g**4/28 + 5*g**3/7 + 12*g**2/7 + 12*g/7 - 8. Factor c(y).
3*(y + 1)*(y + 2)**2/7
Let l(i) be the first derivative of -i**4/2 + 10*i**3/3 - 3*i**2 - 18*i + 21. Factor l(k).
-2*(k - 3)**2*(k + 1)
Let y(b) be the second derivative of -b**5/10 - 2*b**4/3 - 5*b**3/3 - 2*b**2 + 14*b. Factor y(h).
-2*(h + 1)**2*(h + 2)
Let k be (0 - 1) + 29 + -26. Let f(x) be the third derivative of 0*x**3 + 0*x - 4*x**k + 1/180*x**5 + 0 + 1/360*x**6 + 0*x**4. Factor f(n).
n**2*(n + 1)/3
Let i(k) be the third derivative of k**6/120 - k**4/24 - k**3/3 - k**2. Let c be i(2). Factor 2*p**3 - 4*p**3 - 2*p**c + 4*p**4.
2*p**3*(p - 1)
Let o(b) be the first derivative of -1/2*b**6 - 6/5*b - 39/10*b**2 - 57/10*b**4 - 32/5*b**3 + 3 - 66/25*b**5. Factor o(h).
-3*(h + 1)**4*(5*h + 2)/5
Suppose -b - 6 = 5*i + 13, 5*b = 5*i + 55. Solve 2*l + 3*l**4 - 8*l - 3 + b*l**3 + 0*l**4 = 0 for l.
-1, 1
Let