
2*z*(z - 2)/19
Let h(f) be the first derivative of -f**6/27 + 2*f**5/15 - f**4/9 - 4*f**3/27 + f**2/3 - 2*f/9 - 5. Factor h(s).
-2*(s - 1)**4*(s + 1)/9
Let g(p) be the first derivative of 3*p**6/2 - 3*p**5 - 3*p**4 + 4*p**3 + 5. Solve g(o) = 0.
-1, 0, 2/3, 2
Factor 0*w + 0 + 2/17*w**3 + 2/17*w**2.
2*w**2*(w + 1)/17
Let j(k) be the first derivative of -k**7/280 + k**5/40 - 5*k**3/3 - 3. Let c(l) be the third derivative of j(l). Factor c(d).
-3*d*(d - 1)*(d + 1)
Let v be 3 - (2860/(-192))/(-5). Let c(r) be the second derivative of 0 - 1/24*r**3 - v*r**4 + 1/4*r**2 + r. Determine h, given that c(h) = 0.
-2, 1
Let o(n) be the third derivative of n**5/105 - n**4/168 + 9*n**2. Find k, given that o(k) = 0.
0, 1/4
Suppose 1/4*b**2 + b + 1 = 0. What is b?
-2
Determine r so that 2*r**4 - 114*r + 228*r - 118*r - 2*r**2 + 4*r**3 = 0.
-2, -1, 0, 1
Let v(d) be the second derivative of -1/6*d**3 + 0 + 5*d + 1/12*d**4 + 0*d**2. Determine a, given that v(a) = 0.
0, 1
What is a in 0 - 1/5*a**2 + 2/5*a = 0?
0, 2
Let g be (-4)/8 + 3154/2100 + -1. Let o(h) be the third derivative of -1/100*h**6 + 0*h + 0 - g*h**7 + 0*h**3 - 2*h**2 - 1/75*h**5 + 0*h**4. Factor o(x).
-2*x**2*(x + 1)*(x + 2)/5
Suppose 6*u - 8 = 4*u. Solve u*t**2 + t**4 - 6*t**2 + 5 - 4 = 0.
-1, 1
Suppose 0 = w - 4 + 1. What is s in -s**2 + 3*s**2 - w*s**2 + 0 + 1 = 0?
-1, 1
Suppose 0*n = 3*n + 4*s - 290, n = -4*s + 94. Suppose -135*z**2 - 12 - 145*z**3 + 92*z - n*z**3 + 4*z = 0. What is z?
-1, 2/9
Let h = 40 - 79/2. Factor -1/4*x**4 + h*x**3 - 1/4*x**2 + 0*x + 0.
-x**2*(x - 1)**2/4
Let i(m) be the second derivative of m**5/210 + m**4/42 - m**2 - 3*m. Let l(s) be the first derivative of i(s). Factor l(o).
2*o*(o + 2)/7
Suppose 10/3*l - 4 + 2/3*l**2 = 0. What is l?
-6, 1
Let h(j) be the second derivative of -j**7/231 - 2*j**6/55 - 6*j**5/55 - 4*j**4/33 - 7*j. Factor h(p).
-2*p**2*(p + 2)**3/11
Let w be (-37)/444 - (-2)/8. Factor 1/3*r**2 - 1/6*r**3 + 0 - w*r.
-r*(r - 1)**2/6
Let t(g) be the second derivative of g**6/1620 + g**5/540 - g**3/2 - g. Let z(d) be the second derivative of t(d). Determine c, given that z(c) = 0.
-1, 0
Factor -14/11*u**2 + 10/11*u**3 + 0 + 6/11*u - 2/11*u**4.
-2*u*(u - 3)*(u - 1)**2/11
Let q be 7/315*12*(-10)/(-4). Determine p so that -q + 4/3*p - 2/3*p**2 = 0.
1
Let y = 197 + -197. Suppose -1/3*s**3 + 1/3*s**5 + 0 + 0*s + 0*s**4 + y*s**2 = 0. What is s?
-1, 0, 1
Let c(i) be the first derivative of -3*i**4/4 + 3*i**3 + 3*i**2/2 - 9*i + 12. Find v, given that c(v) = 0.
-1, 1, 3
Suppose 4*b - 2*n - 12 = -5*n, 2*b = -5*n + 6. Suppose 1 - b = -t. Factor 0 + 1/4*v**t + 1/4*v.
v*(v + 1)/4
What is o in -2/7*o**4 + 0*o + 0 + 2/7*o**5 + 2/7*o**2 - 2/7*o**3 = 0?
-1, 0, 1
Let c(h) be the first derivative of -4/3*h**3 + 6/5*h**5 - 2 - h**4 + 3*h**2 - 2*h - 1/3*h**6. Let c(i) = 0. What is i?
-1, 1
Suppose 5*v - 2 - 3 = 0. Let k be v + -1 + 0/2. Determine j, given that 0*j**2 + k*j + 1/3*j**3 + 0 = 0.
0
Factor 4/3 + 2/3*b**2 + 2*b.
2*(b + 1)*(b + 2)/3
Let a(s) be the third derivative of -s**9/2520 + s**8/3360 + s**4/24 - 3*s**2. Let h(d) be the second derivative of a(d). What is l in h(l) = 0?
0, 1/3
What is v in 3/2*v + 3/4*v**2 + 0 = 0?
-2, 0
Let b(g) be the first derivative of -g**6/2 + 12*g**5/5 - 15*g**4/4 + 2*g**3 - 13. Factor b(j).
-3*j**2*(j - 2)*(j - 1)**2
Let r(y) be the third derivative of -y**8/1176 + 2*y**7/245 - y**6/35 + y**5/21 - y**4/28 - y**2 + 10*y. Factor r(o).
-2*o*(o - 3)*(o - 1)**3/7
Let h(j) be the second derivative of j**5/210 - j**4/42 + j**3/21 + j**2/2 - 4*j. Let r(q) be the first derivative of h(q). Determine y, given that r(y) = 0.
1
Let 10/9*w + 0 - 2/9*w**2 = 0. Calculate w.
0, 5
Suppose b**3 + 2/3 - 1/3*b**4 - b - 1/3*b**2 = 0. Calculate b.
-1, 1, 2
Let k(l) = 2*l**3 - 3*l - 3. Let g(x) = x + x**2 + 2 + 2 + 2. Let u be g(0). Let a(t) = 3*t**3 - 5*t - 5. Let m(i) = u*a(i) - 10*k(i). Factor m(n).
-2*n**3
Suppose -4*t + 20 = t, 5*z + 1 = 4*t. Let 2*i**3 + 8*i**2 - i**3 - 4*i - 5*i**z = 0. Calculate i.
0, 1
Let t(z) be the third derivative of -z**6/180 + z**5/30 + z**4/9 - 24*z**2. Factor t(o).
-2*o*(o - 4)*(o + 1)/3
Let c(v) be the first derivative of 2*v**3/27 + 2*v**2/9 + 2*v/9 + 4. Find g such that c(g) = 0.
-1
Let q(d) = -8*d**3 - 3*d**2 + 3*d + 3. Let u(k) = k**3. Let c(x) = q(x) + 5*u(x). Factor c(g).
-3*(g - 1)*(g + 1)**2
Let -4*r**3 + 3*r**3 + 3*r**3 - r**3 - r = 0. What is r?
-1, 0, 1
Let k(l) be the first derivative of -4*l**5/45 + l**4/6 - 2*l**3/27 - 9. Factor k(g).
-2*g**2*(g - 1)*(2*g - 1)/9
Let x = -10 - -12. Suppose x*m + 2*s = 6, 3*s - 2 - 3 = -2*m. Factor 2/7*f**m + 0 - 4/7*f**3 + 2/7*f**2 + 0*f.
2*f**2*(f - 1)**2/7
Let k(b) be the second derivative of 0*b**2 - 3*b + 0*b**4 + 0*b**3 + 0*b**5 + 0 - 2/15*b**6. Factor k(p).
-4*p**4
Let s(r) be the second derivative of r**6/60 + r**5/30 - r**4/12 - r**3/3 - r**2 - 3*r. Let o(f) be the first derivative of s(f). Solve o(w) = 0.
-1, 1
Let z = 7 + -5. Factor -z*n**4 + 22*n**5 - 12*n**2 + 7*n**4 + 5*n**5 + 4*n**4 - 24*n**3.
3*n**2*(n - 1)*(3*n + 2)**2
Let g(w) be the first derivative of -w**4/6 - 2*w**3/9 + 2*w**2/3 - 2. Factor g(v).
-2*v*(v - 1)*(v + 2)/3
Let j = 8743/156890 - 3/5410. Let v = 10/29 + j. Suppose -v*f**4 - 2/5 + 0*f**3 + 0*f + 4/5*f**2 = 0. What is f?
-1, 1
Suppose 0*d + 0 - 15/2*d**3 + 5/2*d**2 = 0. Calculate d.
0, 1/3
Let x be (5 + 737/(-143))*-1. What is o in -x - 6/13*o**2 + 2/13*o**3 + 6/13*o = 0?
1
Let x(m) = -7*m**2 + 5*m. Let k(p) = -4*p**2 + 3*p. Let s(u) = 5*k(u) - 3*x(u). Find h, given that s(h) = 0.
0
Suppose 2*o = -a + 3*o, 2*a - 5*o = 0. Suppose a*i**2 + 2/5*i**3 + 0*i + 0 - 2/5*i**4 = 0. Calculate i.
0, 1
Let o(l) be the first derivative of l**6/360 + l**5/120 + 10*l**3/3 + 10. Let k(s) be the third derivative of o(s). Determine p, given that k(p) = 0.
-1, 0
Let v(h) = -2 + 8*h**3 + 5*h**3 - 4*h**2 - 14*h**3 - 4*h. Let r(z) = z**2 + z + 1. Let f(y) = 2*r(y) + 2*v(y). Solve f(k) = 0.
-1
Find x such that -2/9*x**2 + 2/9*x**4 + 0*x + 0*x**3 + 0 = 0.
-1, 0, 1
Let c = 136 + -404/3. Suppose 0 = -3*z - 5*g - 2 - 3, -4*z + 3*g = -3. Determine x so that c*x**3 - 2/3*x**4 - 2/3*x**2 + 0 + z*x = 0.
0, 1
Suppose -q = -x - 16, -2*x + 20 = 4*q - 20. Solve -16*i**3 - i + q*i**3 - 2*i**2 - 2*i**4 + i = 0.
-1, 0
Let q(y) be the second derivative of -2/27*y**4 + 0*y**3 + 0 - 1/27*y**6 + 0*y**2 - 1/189*y**7 - 4/45*y**5 + y. Factor q(m).
-2*m**2*(m + 1)*(m + 2)**2/9
Let r(h) be the third derivative of h**8/840 + 2*h**7/525 - h**6/300 - h**5/75 + 20*h**2. Find g, given that r(g) = 0.
-2, -1, 0, 1
Let g = 27/11 - 59/33. What is q in -1/3*q**2 + q - g = 0?
1, 2
Let w be (-34)/(-20)*(-1)/(-3). Let v = w + -1/15. Factor -3/2*t**2 + v*t**3 + 1 + 1/2*t**4 - 1/2*t.
(t - 1)**2*(t + 1)*(t + 2)/2
Let j(m) = 4*m**5 + 14*m**4 + 6*m**3 - 10*m**2 - 10*m - 4. Let s(h) = 8*h**5 + 29*h**4 + 11*h**3 - 21*h**2 - 19*h - 8. Let t(b) = -5*j(b) + 2*s(b). Factor t(x).
-4*(x - 1)*(x + 1)**4
Let g(c) = -c**3 - c**2 + 4*c + 4. Let d be g(-4). Let v = d + -22. Suppose 2*o**4 + v*o**3 - 15*o**5 + 2*o**2 - o**5 + 2*o**2 - 4*o**5 = 0. What is o?
-1/2, -2/5, 0, 1
Let s(y) be the third derivative of -y**5/60 - 13*y**4/12 - 169*y**3/6 + 2*y**2 + 29. Factor s(z).
-(z + 13)**2
Let b(s) = -s**2 - 6*s + 8. Let x be b(-7). Let l be (-2)/(1/x - 2). Factor -z**3 - z**l - 1/4*z + 0.
-z*(2*z + 1)**2/4
Let t(u) be the second derivative of -u**4/4 + 2*u**3/3 + 7*u**2/2 + u. Let i(d) = -2*d**2 + 2*d + 4. Let n(a) = -7*i(a) + 4*t(a). Let n(m) = 0. What is m?
-1, 0
Let b = -5921/6 + 987. Determine z so that 2/3*z**3 - 1/6*z**2 - 2/3*z + b = 0.
-1, 1/4, 1
Let x(z) = -6*z**3 - 42*z**2 - 51*z - 15. Let u(n) = -19*n**3 - 126*n**2 - 153*n - 46. Let v(d) = -3*u(d) + 8*x(d). Solve v(y) = 0.
-3, -1, -2/3
Let f(w) be the third derivative of 2*w**7/105 - w**6/15 + 2*w**2. Factor f(v).
4*v**3*(v - 2)
Let q(x) = 6*x**3 - 17*x**2 + 8. Let z(y) = 18*y**3 - 52*y**2 + 24. Let k(d) = 20*q(d) - 6*z(d). Suppose k(l) = 0. Calculate l.
-2/3, 1, 2
Factor -2/5*v**3 - 2/5*v**2 + 0 + 4/5*v.
-2*v*(v - 1)*(v + 2)/5
Let t(w) be the first derivative of 0*w**2 - 2/9*w**5 - 4 - 7/18*w**4 - 4/27*w**3 + 0*w. Find v, given that t(v) = 0.
-1, -2/5, 0
Let q(z) = -16*z**3 - z - 1. Let m be q(-2). Let y = 267/2 - m. Determine u so that 5/2*u**4 + y*u**3 - 5/2*u**2 - 7/2*u