t h(g) be the second derivative of f - g - 3/4*g**4 - 7/6*g**3 + g**2. Solve h(u) = 0.
-1, 2/9
Solve 2 - 81*s**2 - 72*s**3 - 53*s**3 + 8*s**3 - s + 21*s**2 = 0 for s.
-1/3, 2/13
Let r be 2/4 + 18/12. Suppose -1 = -g + r*s, s = -2*g - 0*g + 17. Suppose -4*q**3 + 4*q**2 - q - 4*q**5 + 2*q**5 - 5*q**3 + g*q**4 + q**2 = 0. Calculate q.
0, 1/2, 1
Let d(t) be the second derivative of t**5/180 - t**4/36 - t**3/54 + t**2/6 - 20*t. Factor d(i).
(i - 3)*(i - 1)*(i + 1)/9
Let l(k) be the third derivative of -5*k**2 + 1/30*k**5 + 1/168*k**8 - 1/105*k**7 - 1/20*k**6 + 0 + 0*k + 0*k**3 + 1/6*k**4. Factor l(w).
2*w*(w - 2)*(w - 1)*(w + 1)**2
Let m(d) be the first derivative of -2*d**6/21 - 3*d**5/35 + d**4/28 + 3. Factor m(j).
-j**3*(j + 1)*(4*j - 1)/7
Suppose s = p + 7, 4*s + 5*p = 3*s - 5. Suppose -b - 3 = -j, -s*b + 3*j + 3 = 8. Find a such that -15*a**2 - 3*a + 3 + 9*a + 18*a**b = 0.
-1
Let d(j) be the third derivative of -1/40*j**6 + 0*j**4 + 5*j**2 + 1/20*j**5 + 0 + 0*j + 0*j**3. Suppose d(r) = 0. What is r?
0, 1
Let q = -771/112 - -117/16. Factor 0*s + 0 - q*s**4 - 3/7*s**2 - 6/7*s**3.
-3*s**2*(s + 1)**2/7
Let a(j) be the third derivative of 0 - 3*j**2 + 0*j + 0*j**4 - 1/60*j**5 + 0*j**3. Factor a(y).
-y**2
Let l(s) be the first derivative of -s**4 + 4*s**3/3 + 4*s**2 - 2. Factor l(j).
-4*j*(j - 2)*(j + 1)
Factor 2/15*b**2 - 16/15*b + 14/15.
2*(b - 7)*(b - 1)/15
Let l(o) be the second derivative of -o**5/50 + o**4/15 + o**3/15 - 2*o**2/5 + 6*o. What is n in l(n) = 0?
-1, 1, 2
Suppose -14*g - 9 = -17*g. Solve 4/5*l**g + 8/5*l**2 + 0 + 4/5*l = 0 for l.
-1, 0
Let n(m) = m**2 + 5*m - 2. Let l be n(-6). Determine t, given that -15*t**3 - 5*t**4 + 9*t**l - 6*t**4 - 7*t**4 - 6*t**2 = 0.
-1, -2/3, 0
Let b(n) be the second derivative of n**8/1680 + n**7/1050 + n**2/2 - n. Let r(m) be the first derivative of b(m). Factor r(d).
d**4*(d + 1)/5
Let d = 8 - 5. Suppose -2*x = d - 7. Find l, given that -2/3*l**3 - 2*l**2 - x*l - 2/3 = 0.
-1
Determine p, given that 1/4*p**4 + 0 + 1/4*p**3 + 0*p**2 + 0*p = 0.
-1, 0
Let u(n) = -n**3 - n**2 - n. Let b(z) = -10*z**3 - 12*z**2 - 5*z. Let h(t) = -b(t) + 3*u(t). Determine p so that h(p) = 0.
-1, -2/7, 0
Let b = 14 - 27/2. Let t(w) be the first derivative of -1/3*w**3 + 0*w - b*w**2 - 1. Determine y, given that t(y) = 0.
-1, 0
Let o(p) = -p**5 + p**4 - 8*p**3 + 17*p**2. Let r(f) = 2*f**3 - 4*f**2. Let c(v) = 2*o(v) + 9*r(v). Suppose c(u) = 0. Calculate u.
-1, 0, 1
Suppose u + 0 = -1. Let q = 1 - u. Find t, given that -4*t**2 + 0 + 0 + 2*t**3 + q*t = 0.
0, 1
Let i(g) = g**3 - 9*g**2 - g + 11. Let j be i(9). Factor -2*t + 1/2*t**j + 2.
(t - 2)**2/2
Let x(h) be the third derivative of -h**8/168 + h**7/21 - 3*h**6/20 + 7*h**5/30 - h**4/6 + h**2. Solve x(p) = 0 for p.
0, 1, 2
Let i(s) be the third derivative of 0 - s**3 + 6*s**2 + 0*s - 7/24*s**4 + 1/20*s**5. Factor i(q).
(q - 3)*(3*q + 2)
Let d(q) be the first derivative of -26/3*q**3 - 4*q + 15*q**2 - 1. Solve d(o) = 0.
2/13, 1
Suppose f + 2 - 17*f + 9*f + 3*f**2 = 0. What is f?
1/3, 2
Let b(c) be the second derivative of c**4/24 + c**3/2 + 9*c**2/4 + 10*c. Factor b(x).
(x + 3)**2/2
Let x(g) = -2 + 2 + g**2 + 2. Let v be x(0). Factor 0*c + 2/9*c**v + 0.
2*c**2/9
Suppose 5*p + 37 = 3*a, 3*p + 13 = 2*a + 2*p. Let d be a*(-1 + 0)/(-6). Factor -2/3 + 2*i - 2*i**3 + d*i**2.
-2*(i - 1)*(i + 1)*(3*i - 1)/3
Let b(l) = 2*l**2 - 4*l + 6. Let x(f) = -4*f**2 + 7*f - 13. Let d(n) = -5*b(n) - 2*x(n). Factor d(q).
-2*(q - 2)*(q - 1)
Let n(q) be the second derivative of q**5/20 + q**4/6 + q**3/6 + 30*q. Factor n(m).
m*(m + 1)**2
Let g = 945/8 - 118. Let v(c) be the third derivative of -1/280*c**7 + 3/160*c**6 + 0*c**3 + 0*c - 2*c**2 + 0*c**5 + 0 - g*c**4. Factor v(i).
-3*i*(i - 2)**2*(i + 1)/4
Let m be -3 - ((-6)/18)/(2/36). Determine y so that -2/3*y**4 + 1/3*y + 2/3*y**2 + 0*y**m + 0 - 1/3*y**5 = 0.
-1, 0, 1
Let i(f) be the third derivative of -11*f**8/168 - 13*f**7/105 - f**6/30 + f**2 - 28. Find o, given that i(o) = 0.
-1, -2/11, 0
Let x be ((-16)/28 - 696/(-189))*3. Factor -2/3 + 29/3*w**2 - 1/3*w + x*w**3.
(w + 1)*(4*w - 1)*(7*w + 2)/3
Factor 3*o**3 - 3*o + 3*o + 9*o**2 - 8*o**2.
o**2*(3*o + 1)
Let h = 142 - 142. What is p in -2/3*p - 1/3*p**2 + h = 0?
-2, 0
Let q be (-46)/(-60) - (-18)/(-27). Let y(c) be the second derivative of -q*c**5 - 1/6*c**4 + c + 0 + 0*c**2 + 1/15*c**6 + 0*c**3 + 1/21*c**7. Factor y(v).
2*v**2*(v - 1)*(v + 1)**2
Let s(f) be the third derivative of f**6/360 + f**5/60 - f**2. Suppose s(r) = 0. Calculate r.
-3, 0
Let y be (-1 - 304/(-280))*10. Factor 20/7*j + y + 6/7*j**2.
2*(j + 3)*(3*j + 1)/7
Factor 1/4*r + 0 + 1/4*r**3 - 1/2*r**2.
r*(r - 1)**2/4
Suppose 4*l - 3*l = -3*f + 21, -3*f = -3*l - 21. Let q(c) = -c**2 + 6*c + 9. Let g be q(f). Determine t so that -4/9*t**3 + 2/9*t**g + 0 + 0*t = 0.
0, 1/2
Let h(r) = 4*r**5 - 4*r**4 - r**3 - 7*r**2 + 19*r. Let d(z) = -z**5 + z**4 + 2*z**2 - 5*z. Let f(u) = -22*d(u) - 6*h(u). Find i such that f(i) = 0.
-1, 0, 1, 2
Let p(b) be the second derivative of 1/10*b**5 + b**3 + b**2 - b + 1/2*b**4 + 0. Determine g so that p(g) = 0.
-1
Suppose 7*r**3 + 28*r**5 - 97*r**4 + 9*r**3 + 33*r**4 = 0. What is r?
0, 2/7, 2
Let r(p) be the second derivative of -p**6/90 + 7*p**5/60 - 5*p**4/12 + p**3/2 - 6*p. Determine z so that r(z) = 0.
0, 1, 3
Factor 18/5*h + 0 + 2/5*h**3 + 12/5*h**2.
2*h*(h + 3)**2/5
Suppose 8/3*x - x**2 + 4/3 - 3*x**3 = 0. Calculate x.
-2/3, 1
Let h be -4 - -4 - -2*(-4)/(-160). Let r(u) be the third derivative of 3*u**2 + 0*u**3 + 0 - h*u**4 - 1/150*u**5 + 0*u. Determine q so that r(q) = 0.
-3, 0
Let v(g) be the second derivative of g**6/195 - g**4/78 + 17*g. Suppose v(a) = 0. What is a?
-1, 0, 1
Find x, given that 12*x**3 - 6*x**2 + 6 - 10*x**3 + 2*x - 4*x = 0.
-1, 1, 3
Let y(r) be the second derivative of -r**6/30 - r**5/10 + r**4/12 + r**3/3 - 8*r. Factor y(n).
-n*(n - 1)*(n + 1)*(n + 2)
Let w(z) = -z**3 - 19*z**2 + z + 21. Let k be w(-19). Determine v, given that 1/2 + v + 1/2*v**k = 0.
-1
Let m be (-3*(-1)/(-12))/((-5)/80). Let i be 10/(-4)*(-3)/10. Solve 1/4*r**m + 0*r**2 + i*r**3 - r + 0 = 0.
-2, 0, 1
Let j(k) be the first derivative of -3*k**4/10 - 4*k**3/15 + 9. Solve j(u) = 0.
-2/3, 0
Suppose -3*o - 5 = -2*o, -2*o = -3*g + 22. Factor -6*p**4 + 4*p + 8*p**2 - 4 - 7*p**3 - p**3 + 0*p**4 + 2*p**g + 4*p**5.
4*(p - 1)**3*(p + 1)**2
Let d(q) be the third derivative of 2*q**2 + 1/360*q**6 + 2/9*q**3 + 0*q**4 + 0*q - 1/60*q**5 + 0. What is a in d(a) = 0?
-1, 2
Suppose 2 + 18 = 5*f. Suppose 0 = 3*z + l - f*l - 9, 0 = -2*l + 2. What is s in -s**2 + 4*s**5 + 3*s**2 - s**z - s**4 - 6*s**5 + 2*s**3 = 0?
-1, 0, 1
Let p = 289/6 + -48. Let a(s) be the second derivative of 0*s**2 - 2*s + 0 - 1/12*s**4 + 1/80*s**5 + p*s**3. Factor a(o).
o*(o - 2)**2/4
Suppose 5*y - 85 = m - 5*m, 4*m - 55 = y. Suppose u - m = 5*j - 4*u, 5 = u. Suppose j*l - 5*l**3 + 7*l**3 - 2*l = 0. What is l?
0
Let h(q) = -q. Let l be h(-1). Let f be -2 + 5 + 1 + l. Determine p, given that -1 + 3*p**2 - 4*p**2 - 2*p + f*p - 1 = 0.
1, 2
Let q(v) = v**3 + 6*v**2 + 4*v + 4. Let i be q(-5). What is o in o - i*o**3 - o**4 + 3*o**2 - 2 + 4*o**2 - 8*o**4 + 4*o = 0?
-1, 1/3, 2/3
Suppose 3*r - 1 = 2. Let -b - b**2 + 0*b**3 + 2*b**2 - b**3 + 2*b - r = 0. Calculate b.
-1, 1
Let t(y) be the second derivative of -1/54*y**4 - 1/90*y**5 - 4*y + 0*y**2 + 1/135*y**6 + 0 + 1/27*y**3. Solve t(m) = 0 for m.
-1, 0, 1
Let l be ((-9)/30)/(0 + 6/(-4)). Factor l*n**3 + 1/5*n**2 - 1/5*n - 1/5.
(n - 1)*(n + 1)**2/5
Suppose -22*c = -19*c - k - 9, -4*k - 20 = -4*c. Factor 0*o**3 - 9/4*o**c + 3/2*o + 3/4*o**4 + 0.
3*o*(o - 1)**2*(o + 2)/4
Suppose -u = 4 - 9. Let g(k) be the first derivative of 0*k - 1/2*k**2 - 2 - 1/5*k**u - k**3 - 3/4*k**4. Factor g(j).
-j*(j + 1)**3
Let p(i) be the second derivative of i**7/105 - 2*i**6/75 + i**5/50 + 3*i. Factor p(r).
2*r**3*(r - 1)**2/5
Suppose 7 - 17 = -2*d. Suppose -d*a = 6 - 16. Factor 1/5*v**4 + 0 - 1/5*v**a + 0*v**3 + 0*v.
v**2*(v - 1)*(v + 1)/5
Let f(i) be the third derivative of -5*i**8/336 + i**7/42 - 5*i**2. Solve f(u) = 0.
0, 1
Suppose 20*f = 21*f - 2. Let g(m) be the second derivative of 1/40*m**5 - 1/24*m**4 + 1/4*m**f + m + 0 - 1/12*m**3. Suppose g(t) = 0. Calculate t.
-1, 1
Let f(z) = z**2 - 1. Let y(d) = 3*d**2 - 26*d - 173. Let v(x) =