et m(f) be the third derivative of 1/2*f**3 + 0*f + 1/20*f**6 - 1/4*f**4 - 3*f**2 + 3/70*f**7 - s*f**5 + 0. Let m(i) = 0. Calculate i.
-1, 1/3, 1
Factor -41*p + 0*p**3 - 12 - 19*p - 21*p**3 - 69*p**2.
-3*(p + 1)*(p + 2)*(7*p + 2)
Let t = 16 + -11. Let m be -1 - (1 + 0) - -4. Suppose -2/3*g + 4/3*g**4 - 4/3*g**m + 0*g**3 + 0 + 2/3*g**t = 0. What is g?
-1, 0, 1
Let b(j) be the first derivative of 2*j**3/3 + 2*j**2 + 2*j + 15. Factor b(w).
2*(w + 1)**2
Suppose 7*w - 13 = 1. Let m be 3/(-14) - 2/(-4). Solve 0*y + 0 - m*y**3 - 10/7*y**5 + 16/7*y**4 - 4/7*y**w = 0.
-2/5, 0, 1
Let n(f) be the second derivative of f**5/100 + f**4/60 - f**3/6 + 3*f**2/10 + 6*f. Factor n(y).
(y - 1)**2*(y + 3)/5
Let i(p) = 8*p**5 - 4*p**4 + 11*p**3 + 9*p**2 - 12*p - 5. Let r(h) = h**5 + h**3 + h**2 - h - 1. Let d(n) = -3*i(n) + 21*r(n). Let d(u) = 0. Calculate u.
-1, 1, 2
Let u(j) = 5*j**3 - 2*j**2 + j. Let r be u(1). Factor -v + r + 4 - 8 + v**3.
v*(v - 1)*(v + 1)
Solve -1/2 - u - 1/2*u**2 = 0 for u.
-1
Let s be ((-2)/5)/(5/175). Let p be 14/10*(-4)/s. Let 1/5*m + 0 + 1/5*m**3 + p*m**2 = 0. What is m?
-1, 0
Let f(t) = 2*t**5 + 2*t**4 - 4*t**3 - 4*t**2 - 2. Let c(p) = 5*p**5 + 6*p**4 - 11*p**3 - 13*p**2 - p - 7. Let y(z) = -4*c(z) + 14*f(z). Solve y(n) = 0.
-1, 0, 1/2, 1
Let q be (165/25 + -8)*(-2 + 1). Let -19/5*s**3 - 5*s**2 - 4/5 - 1/5*s**5 - q*s**4 - 16/5*s = 0. What is s?
-2, -1
Let d(h) be the second derivative of -4*h**6/105 - 17*h**5/70 - 8*h**4/21 - h**3/7 + 21*h + 2. Let d(j) = 0. Calculate j.
-3, -1, -1/4, 0
Let j(g) be the second derivative of 2*g**3/3 - 5*g**2/2 + g. Let x be j(5). Let 13*m - 2 - 2*m**2 - x*m**2 - 3*m**2 = 0. What is m?
1/4, 2/5
Let l(f) be the third derivative of f**10/75600 - f**8/5040 + f**6/360 - f**5/60 + f**2. Let u(q) be the third derivative of l(q). What is i in u(i) = 0?
-1, 1
Let c(i) be the first derivative of -i**4/10 - 14*i**3/15 - 16*i**2/5 - 24*i/5 + 68. Solve c(u) = 0.
-3, -2
Let h(m) be the second derivative of 0 - 1/9*m**3 + 0*m**2 - 1/30*m**5 + 1/9*m**4 - 4*m. Find d, given that h(d) = 0.
0, 1
Let t(z) be the third derivative of -z**8/2856 - z**7/595 + z**6/255 - 22*z**2. Factor t(u).
-2*u**3*(u - 1)*(u + 4)/17
Let k(j) be the second derivative of 0 + 1/5*j**6 + 0*j**4 + 1/14*j**7 + 0*j**2 + 2*j + 0*j**3 + 3/20*j**5. Find x such that k(x) = 0.
-1, 0
Let n be (3/(-6))/1*(-12 - -12). Determine m so that -1/3 + 2/3*m + n*m**2 - 2/3*m**3 + 1/3*m**4 = 0.
-1, 1
Let q(a) be the first derivative of -5 - 1/5*a**2 + 0*a + 2/15*a**3. Factor q(u).
2*u*(u - 1)/5
Factor 39*n**3 - 103*n**4 - 23*n**3 + 234*n**3 - 220*n**2 + 25*n**5 - 10 + 85*n - 27*n**4.
5*(n - 2)*(n - 1)**3*(5*n - 1)
Let w(l) = -l**2 + 4*l - 2. Let r be w(2). Factor -6 + x**r + x**2 + 6.
2*x**2
Let r(z) = -3*z**3 + 6*z**2 + 6*z + 6. Let t(y) = 8*y**3 - 17*y**2 - 17*y - 17. Let w(a) = -17*r(a) - 6*t(a). Factor w(m).
3*m**3
Suppose 15*s + 2 - 47 = 0. Let r(p) be the first derivative of 15/2*p**2 + 3*p + 1/2*p**6 + s*p**5 + 15/2*p**4 + 4 + 10*p**3. Let r(a) = 0. Calculate a.
-1
Factor -2/13*h**3 - 8/13 + 2/13*h**2 + 8/13*h.
-2*(h - 2)*(h - 1)*(h + 2)/13
Let s(a) be the second derivative of -1/4*a**4 + 0*a**2 - 3*a + 0 + 3/20*a**5 + 0*a**3. Factor s(b).
3*b**2*(b - 1)
Let m = 109/15 - 23/5. Factor -m - 56/3*n - 98/3*n**2.
-2*(7*n + 2)**2/3
Find k, given that 0 - 5/2*k**3 + 2*k + 0*k**2 + 0*k**4 + 1/2*k**5 = 0.
-2, -1, 0, 1, 2
Suppose -12*r = -11*r - 20. Let m be r/(-6) + -11 + 15. Solve 0*f**2 - m*f**3 + 0*f - 2/3*f**4 + 0 = 0 for f.
-1, 0
Factor -2*b**3 + 4*b - 12*b - 6*b + 10*b**2 + 6.
-2*(b - 3)*(b - 1)**2
Let r(s) = s**3 + 7*s**2 + 4*s - 9. Let x be r(-6). Determine a, given that -1/4*a**x + 1/4*a + 1/4 - 1/4*a**2 = 0.
-1, 1
Let -6*v - 3*v**4 - 17636 + 6*v**3 + 3*v**2 + 17636 = 0. Calculate v.
-1, 0, 1, 2
Suppose t + 3 = -2*c, 0 = t + t - c - 9. Factor -d**2 - 2*d - d + 5*d - 4*d**2 + 3*d**t.
d*(d - 1)*(3*d - 2)
Let y(p) be the first derivative of 0*p**5 - 2/3*p**3 + 1/720*p**6 + 2 + 0*p**2 + 0*p**4 + 0*p. Let b(v) be the third derivative of y(v). Factor b(i).
i**2/2
Let y(w) = -w**3 + 3*w**2 + 4*w + 3. Let c be y(4). Find j, given that 5*j**4 - 2 + 8*j - 4*j**3 - 4*j - c*j**4 = 0.
-1, 1
Let k(d) be the second derivative of -d**6/900 - d**5/150 - d**4/60 - d**3/6 - 8*d. Let y(j) be the second derivative of k(j). Solve y(w) = 0 for w.
-1
Let y = 139/282 - -1/141. Solve 0 - 1/4*o**2 - y*o + 1/4*o**3 = 0.
-1, 0, 2
Let s(k) be the second derivative of k**4/4 + k**3/6 - 13*k**2/2 + 5*k. Let n(z) = z**2 + z - 6. Let r(f) = 9*n(f) - 4*s(f). Find q, given that r(q) = 0.
2/3, 1
Let f(l) be the first derivative of -l**5/50 + l**4/10 - l**3/5 + l**2/5 + 4*l - 1. Let b(y) be the first derivative of f(y). Factor b(w).
-2*(w - 1)**3/5
Let g(m) be the first derivative of 3*m**5 + 55*m**4/4 + 5*m**3 - 55*m**2/2 - 30*m + 14. Determine j, given that g(j) = 0.
-3, -1, -2/3, 1
Let t be (-7 - -2)*(-6 + 808/140). Let g = 3 + -1. Factor -8/7 - 2/7*y**g + t*y.
-2*(y - 2)**2/7
Let l(g) = -g**2 - 4*g + 7. Let f be l(-5). Suppose 1/3*h**3 + 2/3*h**f + 0*h + 0 = 0. What is h?
-2, 0
Let m = -3032 + 8998/3. Let d = 33 + m. Factor 1/3 - 1/3*q - 1/3*q**2 + d*q**3.
(q - 1)**2*(q + 1)/3
Let a(s) be the second derivative of -s**8/168 - 2*s**7/105 - s**6/60 - s**2 + 4*s. Let f(n) be the first derivative of a(n). Factor f(u).
-2*u**3*(u + 1)**2
Let z(m) be the first derivative of -6*m - 3/4*m**4 + 9/2*m**2 + 2 + 0*m**3. Factor z(s).
-3*(s - 1)**2*(s + 2)
Let z be (-2)/7 + (-16)/(-7). Factor -3*d + 0 + 1 + z*d - d**2 + d**3.
(d - 1)**2*(d + 1)
Let y(g) be the second derivative of g**7/560 + g**3/6 - 5*g. Let b(d) be the second derivative of y(d). Factor b(w).
3*w**3/2
Factor -2*z**2 + 12*z**2 - 5*z**2 - 9*z**2 + 4*z**3.
4*z**2*(z - 1)
Let o be 4/(-3)*(-3)/2. Suppose -v + o*v**2 + 5 - 3*v + 4 - 7 = 0. Calculate v.
1
Let m be ((-4)/(-3))/((-120)/(-12)). Let q(y) be the first derivative of -m*y**3 + 1 - 2/5*y + 2/5*y**2. Factor q(z).
-2*(z - 1)**2/5
Find y, given that -2/7*y**2 - 18/7 - 12/7*y = 0.
-3
Determine t, given that 54*t - 18*t**2 + 3*t**4 - 33/2*t**3 + 3/2*t**5 + 0 = 0.
-3, 0, 2
Let u(m) be the third derivative of m**5/12 - 5*m**4/24 + 9*m**2. Find h such that u(h) = 0.
0, 1
Let m(w) = 8*w**2 - 9*w. Let r(d) = d**2 + d + 3*d**2 - 2*d - 3*d**2. Let j(y) = -6*m(y) + 51*r(y). Factor j(n).
3*n*(n + 1)
Let d be 8/20*(3 + 2). Solve i**4 - 27*i**d - 3*i**4 - 2 - i**4 - 4 - 15*i**3 - 21*i = 0.
-2, -1
Let y(i) be the first derivative of i**7/504 - i**6/540 - i**3 - 2. Let g(q) be the third derivative of y(q). Factor g(w).
w**2*(5*w - 2)/3
Let i(a) = a**3 + a**2 + a - 1. Let y(r) = -2*r**3 - 4*r**2 - 4*r + 4. Let v(f) = -6*i(f) - 2*y(f). Suppose v(g) = 0. What is g?
-1, 1
Let a = 23 + -23. Let c(m) be the first derivative of 1 + 0*m + 1/3*m**3 + a*m**2. Determine j so that c(j) = 0.
0
Suppose -3*z + z = 0. Factor -6*c**4 + c**5 - 3*c**5 + z - 4*c**3 + 0.
-2*c**3*(c + 1)*(c + 2)
Suppose 0*v + 2*y = 2*v - 2, 0 = 4*y + 4. Suppose 2/5*p**2 + 0*p**3 + 0 + v*p - 2/5*p**4 = 0. What is p?
-1, 0, 1
Let v(z) be the first derivative of 2*z**3/3 - z**2 - 27. Find u, given that v(u) = 0.
0, 1
Find l, given that -22/5*l**2 + 32/5*l**5 + 16*l**3 - 4/5*l + 2/5 - 88/5*l**4 = 0.
-1/4, 1/2, 1
Factor -1/2*l**2 - 1 + 3/2*l.
-(l - 2)*(l - 1)/2
Let y(j) be the second derivative of -3*j**6/10 + 21*j**5/20 - j**4/2 + 10*j. Suppose y(z) = 0. What is z?
0, 1/3, 2
Suppose -226 - 194 = 4*u. Let t be ((-15)/u)/(2/21). Determine n, given that t - 3*n + 3/2*n**2 = 0.
1
Let v be -1 - (3 + 2428/(-40)). Let p(h) be the first derivative of 0*h - v*h**5 + 3 + 207/4*h**4 + 2*h**2 - 50/3*h**3. Let p(r) = 0. Calculate r.
0, 2/9, 2/7
Suppose 12 = f - 3*y, -2*y + 4 = 3*f + 23. Let p(r) = -r**4 + r**2 - 1. Let k(w) = 3*w**4 - 2*w**2 + 2. Let o(s) = f*k(s) - 6*p(s). Find n, given that o(n) = 0.
0
Let a(y) be the second derivative of y**6/15 - y**4/3 + y**2 + 20*y. Find b such that a(b) = 0.
-1, 1
Suppose 6*f - 4*f = 0. Let t(r) be the first derivative of 1/14*r**4 - 1/7*r**2 + 2/21*r**3 + 2 - 2/35*r**5 + f*r. Factor t(q).
-2*q*(q - 1)**2*(q + 1)/7
Let p(k) be the first derivative of -3/4*k**4 - 1/20*k**5 + 2*k**2 - 9/2*k**3 + 0*k + 3. Let l(y) be the second derivative of p(y). Let l(x) = 0. Calculate x.
-3
Find i such that 90*i**3 + 29*i - 1565*i**