f b(s). Solve z(d) = 0.
-1, 0
Let d be (-215)/1375*-5 + 4/(-22). Find p such that -d*p - 6/5*p**2 + 24/5*p**3 + 0 + 27/5*p**5 + 54/5*p**4 = 0.
-1, -1/3, 0, 1/3
Let d be 3*(252/(-27) + 10). Factor -24/7*j**d - 6/7 - 9/7*j**3 - 3*j.
-3*(j + 1)**2*(3*j + 2)/7
Suppose -5*g = -3*s - 30, s + 35 = 5*g - 3*s. Let k(u) be the first derivative of -2/15*u**5 + 1/6*u**4 + 0*u + 0*u**g + 0*u**2 + 1. Solve k(o) = 0 for o.
0, 1
Let c be 10 + (-2)/(0 + -1). Let u be (18/c)/((-21)/(-16)). Determine f so that u + 8/7*f + 2/7*f**2 = 0.
-2
Let a(f) = -f**3 + 5*f**2 + 7*f + 9. Let d be a(7). Let m be (-8)/(-32) + (-6)/d. Factor -2/5 + m*b**2 + 0*b.
2*(b - 1)*(b + 1)/5
Let s(d) be the second derivative of -d**4/30 - 4*d**3/3 - 20*d**2 + 32*d. Factor s(p).
-2*(p + 10)**2/5
Find q such that 0 + 8/3*q**2 - 12*q**4 - 28/3*q**3 + 0*q = 0.
-1, 0, 2/9
Let v be (-4)/14 - ((-1135)/(-70) - 17). Suppose 3/2*d**2 - v + 1/4*d**3 + 1/4*d - 1/2*d**4 = 0. Calculate d.
-1, 1/2, 2
Let w(r) = -50*r**3 - 35*r**2 + 210*r + 15. Let v(h) = 7*h**3 + 5*h**2 - 30*h - 2. Let q(y) = 15*v(y) + 2*w(y). Factor q(g).
5*g*(g - 2)*(g + 3)
Let b be (9/((-27)/2))/(-1). Let x(c) be the third derivative of -b*c**3 - 1/30*c**5 + 0 + 0*c + 3*c**2 - 1/4*c**4. Factor x(i).
-2*(i + 1)*(i + 2)
Let v(y) be the first derivative of -y**8/336 + y**6/60 - y**4/24 + 2*y**2 - 3. Let l(z) be the second derivative of v(z). Factor l(p).
-p*(p - 1)**2*(p + 1)**2
Factor 5 - 15 - 15 + 5 + 5*k**2.
5*(k - 2)*(k + 2)
Let w(o) be the second derivative of 2/3*o**2 + 0*o**3 - 1/12*o**4 - 3*o + 0 + 1/60*o**5. Let w(k) = 0. Calculate k.
-1, 2
Let b(s) be the second derivative of -s**6/360 - s**5/360 - 5*s**3/6 - 2*s. Let r(y) be the second derivative of b(y). Factor r(t).
-t*(3*t + 1)/3
Let h(l) be the third derivative of -3*l**2 + 0*l**3 + 0 + 1/90*l**5 + 0*l**4 + 0*l + 1/360*l**6. Suppose h(n) = 0. Calculate n.
-2, 0
Let 1/5*x**4 + 0*x + 0 - 1/5*x**2 + 4/5*x**3 - 4/5*x**5 = 0. What is x?
-1, 0, 1/4, 1
Determine c so that 2*c**3 - 2*c**5 - 8*c**3 - 2*c**2 - 58*c**4 + 52*c**4 = 0.
-1, 0
Let s = 49 - 242/5. Factor s*z - 3/5*z**2 + 0.
-3*z*(z - 1)/5
Let p(f) be the first derivative of 0*f**2 - 2 + 1/12*f**4 + 0*f + 0*f**3. Factor p(i).
i**3/3
Let i(d) = d**2 - 3*d - 10. Let c be i(5). Let m(y) be the first derivative of 3 + 2/9*y**3 + c*y**2 - 2/3*y. Solve m(w) = 0 for w.
-1, 1
Let p be 1 + (2 - (-195)/(-3)). Let t be (-10)/60 + p/(-84). Determine s so that t*s**3 - 2/7*s + 8/7*s**2 - 4/7*s**4 - 2/7*s**5 - 4/7 = 0.
-2, -1, 1
Factor -5*a**4 - 5*a + 8 + 10*a**4 - 10*a**2 + 10*a**3 - 5*a**5 - 3.
-5*(a - 1)**3*(a + 1)**2
Let c(o) be the second derivative of -o**4/30 + 8*o**3/15 - 16*o**2/5 - 2*o. Let c(v) = 0. Calculate v.
4
Let j = 228/11 - 1813/88. Factor 0 + 3/8*g**3 - j*g**4 + 1/8*g - 3/8*g**2.
-g*(g - 1)**3/8
Let t be -2*3/(9/(-6)). Let a = 6 - t. Factor -8/3*u - 2/3*u**a - 8/3.
-2*(u + 2)**2/3
Let d = -143/3 - -48. Let k(q) be the first derivative of d*q**2 - 4/9*q**3 + 1/9*q**6 + 2/15*q**5 + 2/3*q - 1/3*q**4 + 3. Let k(c) = 0. What is c?
-1, 1
Factor 0 + 9/5*v**3 + 0*v + 2/5*v**2 + 7/5*v**4.
v**2*(v + 1)*(7*v + 2)/5
Let x(t) be the second derivative of t**6/35 - 4*t**5/35 + t**4/6 - 2*t**3/21 + 3*t. Factor x(j).
2*j*(j - 1)**2*(3*j - 2)/7
Let -6*d**4 - 16/3*d - 2/3 - 44/3*d**2 - 16*d**3 = 0. Calculate d.
-1, -1/3
Determine m so that 1/5*m**2 - 3/5 + 2/5*m = 0.
-3, 1
Suppose -3*q - 29 - 1 = 0. Let b = q - -16. Factor b*c**2 + 17*c**4 + 5*c - 21*c**5 - 5*c - 33*c**3 + 31*c**4.
-3*c**2*(c - 1)**2*(7*c - 2)
Let m(c) be the first derivative of -4*c**3/9 + 28*c**2/3 - 196*c/3 - 46. Solve m(t) = 0.
7
Let a = 1 - 4. Let h(s) = 5*s**2 - 5*s - 3. Let r(z) = -26*z**2 + 26*z + 16. Let m(f) = a*r(f) - 16*h(f). Determine w, given that m(w) = 0.
0, 1
Let m(n) be the third derivative of n**9/5040 + n**8/2240 - n**7/840 - n**6/240 + n**4/12 - 3*n**2. Let f(s) be the second derivative of m(s). Solve f(p) = 0.
-1, 0, 1
Let f(v) = 1. Let g(r) = 2*r**2 + 2*r - 2. Let l = -4 + 6. Suppose 0 = l*h - h - 2. Let a(w) = h*f(w) - g(w). Suppose a(d) = 0. Calculate d.
-2, 1
Let b = -21 - -25. Let r(q) be the first derivative of 0*q - 1 - 1/6*q**b + 1/3*q**2 + 0*q**3. Factor r(c).
-2*c*(c - 1)*(c + 1)/3
Suppose -7*u - 20 = -11*u. Let j(h) be the third derivative of -1/3*h**3 + 1/6*h**4 + h**2 - 1/30*h**u + 0*h + 0. Factor j(m).
-2*(m - 1)**2
Let y be 288/128*2/3. Factor t**3 - t + 0 + y*t**2.
t*(t + 2)*(2*t - 1)/2
Let w(p) be the second derivative of -p**7/840 + p**6/360 + p**3/2 - p. Let j(b) be the second derivative of w(b). Factor j(k).
-k**2*(k - 1)
Suppose -13*z = -11*z - 4. Let h(c) be the third derivative of -1/90*c**5 + 0*c + 0*c**4 + 0 + 0*c**6 + 1/18*c**3 + 1/630*c**7 + 4*c**z. Factor h(o).
(o - 1)**2*(o + 1)**2/3
Let i be (4 + -4)/(1 + -4). Factor 8/3*w - 2*w**3 + i*w**2 + 0 - 2/3*w**4.
-2*w*(w - 1)*(w + 2)**2/3
Let i(w) be the second derivative of -w**6/30 + w**5/10 + w**4/3 - 4*w**3/3 + 6*w. Solve i(u) = 0.
-2, 0, 2
Suppose -y + 2*t + 24 = 3*y, -4*y + 38 = 5*t. Factor -y + 0*f**3 + 2 - 4*f**2 - 4*f**3 + 4*f + 9.
-4*(f - 1)*(f + 1)**2
What is b in 1/2*b**3 + 9/2 + 7/2*b**2 + 15/2*b = 0?
-3, -1
Let h(l) be the third derivative of 1/945*l**7 - l**2 + 0*l**3 - 1/270*l**6 + 0*l + 0*l**4 + 1/270*l**5 + 0. What is a in h(a) = 0?
0, 1
What is y in -28/19 + 8/19*y**2 - 110/19*y = 0?
-1/4, 14
Let r(m) be the third derivative of m**8/1176 + 2*m**7/245 + 13*m**6/420 + 2*m**5/35 + m**4/21 + 22*m**2. Solve r(w) = 0 for w.
-2, -1, 0
Let o(u) be the first derivative of 7*u**5/5 - u**4/2 - 7*u**3 + 10*u**2 - 4*u + 49. Suppose o(w) = 0. Calculate w.
-2, 2/7, 1
Let u(d) be the first derivative of d**3/9 + d**2 + 3*d + 2. Determine r so that u(r) = 0.
-3
Let o = -52 + -67. Let h = o - -361/3. Factor 2/3*v**3 + h*v**2 + 0*v + 0.
2*v**2*(v + 2)/3
Suppose 0*p + 0 - 8/7*p**2 + 4/7*p**3 + 4/7*p**4 = 0. What is p?
-2, 0, 1
Let a = -2 + 8. Determine m so that a*m**2 - 2*m**3 - 13*m - 5*m + 2 + 12*m = 0.
1
Factor 7/6*d - 1/3 - 3/2*d**2 - 1/6*d**4 + 5/6*d**3.
-(d - 2)*(d - 1)**3/6
Let m(g) = 3*g - 8. Let f be m(6). Factor -6 - 9*h + 2*h**3 - 9*h**3 + f*h**3.
3*(h - 2)*(h + 1)**2
Factor 1/3*r**4 + 0*r**3 - 4*r**2 + 16/3*r + 0.
r*(r - 2)**2*(r + 4)/3
Let k(u) = -u**2 - 3*u + 2. Let c be k(-3). Find x, given that x**2 + 3*x**2 - 5*x**c - 3*x**3 + 4*x**2 + x**4 - x = 0.
0, 1
Let u(w) be the first derivative of -3*w**3 + 0*w - 5 - 27/16*w**4 - 3/10*w**5 - 3/2*w**2. Factor u(y).
-3*y*(y + 2)**2*(2*y + 1)/4
Let a be -2*(2 - (-26)/(-12)). Let q = 17 - 50/3. Determine n, given that -q*n - a*n**3 + 2/3*n**2 + 0 = 0.
0, 1
Suppose 4*j + 0*j - 44 = 0. Find m such that -j*m + 2*m**2 + 7*m + 0*m**2 = 0.
0, 2
Let i = 92 + -89. Let h(a) be the second derivative of 0 + 1/120*a**6 - 4*a + 1/40*a**5 - 1/12*a**i + 0*a**2 - 1/48*a**4. Determine c, given that h(c) = 0.
-2, -1, 0, 1
Let r(f) = f**3 + 6*f**2 + 3*f + 1. Let p be r(-2). Suppose -5*v = -q - q + 29, -p = 2*q + 3*v. What is c in q*c - c - 3*c**4 - c = 0?
0
Let r(k) = -k**2 + 3*k + 2. Let v be r(3). Let x be (-2)/(-7) + (-4)/(-35). Find a, given that x*a**v + 2/5*a + 0 = 0.
-1, 0
Let b(i) be the third derivative of -i**7/1470 - i**6/210 - i**5/105 + 8*i**2. Find y such that b(y) = 0.
-2, 0
Let q = -778 + 7789/10. Let h(w) be the first derivative of -2 + q*w**4 - 8/5*w + 16/5*w**2 - 14/5*w**3. Factor h(z).
2*(z - 1)*(3*z - 2)**2/5
Let n(u) be the third derivative of u**7/525 + u**6/300 - u**5/75 + 19*u**2. Factor n(g).
2*g**2*(g - 1)*(g + 2)/5
Determine a so that 7*a**3 + 2*a**5 + 29*a**4 + 2*a**2 + 0*a**5 - 9*a**5 - 31*a**4 = 0.
-1, -2/7, 0, 1
What is c in 16/3 - 20/3*c**2 + 160/9*c - 28/9*c**4 - 40/3*c**3 = 0?
-3, -2, -2/7, 1
Factor 8/17*m**2 + 2/17*m**3 + 0 + 8/17*m.
2*m*(m + 2)**2/17
Factor 18/7*g**3 - 3/7*g**4 - 3/7*g**2 - 48/7 - 72/7*g.
-3*(g - 4)**2*(g + 1)**2/7
Let m(k) be the third derivative of k**6/200 + k**5/50 - 32*k**2. Factor m(w).
3*w**2*(w + 2)/5
Suppose 0 = -5*y - z + 60, -5*y + z + 60 = -2*z. Determine q, given that 14/3*q**3 - 16/3 - y*q**2 - 2/3*q**4 + 40/3*q = 0.
1, 2
Let g = -110958/95 + 1168. Let n = g + 87/380. What is t in -3/4*t + 1/2 + n*t**2 = 0?
1, 2
Factor 16*h**2 - 64/3*h + 32/3 + 2/3*h**4 - 16/3*h**3.
2*(h - 2)**4/3
Find p, given that 2*p**3 - 9*p**2 - 5*p**3 - 15*p**2 = 0.
-8, 0
Let i be 1 + -2 - (-1