-v - 1. Let h(y) = -y**2 - 13*y - 7. Let n(k) = 21*d(k) - 3*h(k). Find s, given that n(s) = 0.
-6, 0
Let p(o) = 2*o - 7. Let t be p(8). Let k = t - 35/4. Factor 0*g - k + 1/4*g**2.
(g - 1)*(g + 1)/4
Let z(v) be the second derivative of -2*v + 11/30*v**6 + 0 + 0*v**2 - 1/3*v**3 - 3/4*v**5 + 3/4*v**4 - 1/14*v**7. Factor z(w).
-w*(w - 1)**3*(3*w - 2)
Determine n, given that 0 + 1/4*n**3 + 0*n + 1/4*n**2 = 0.
-1, 0
Let s be (-1 + -1)/2 + -1. Let c(u) = -4*u. Let a be c(s). Suppose a*d + 4*d**3 - 7*d - 5*d**3 = 0. What is d?
-1, 0, 1
Let y(c) = 5*c**2 + 6*c - 4. Let h(p) = -4*p**2 - 6*p + 4. Let l = 16 + -10. Let b(k) = l*y(k) + 7*h(k). Solve b(w) = 0 for w.
1, 2
Let a(i) be the third derivative of i**6/120 - i**5/210 + 8*i**2. Factor a(k).
k**2*(7*k - 2)/7
Solve -1/2*r**2 + 2*r + 5/2 = 0.
-1, 5
Let n(l) be the second derivative of l**4/24 - l**3/4 + l**2/2 + 11*l. Find f, given that n(f) = 0.
1, 2
Let q(y) be the second derivative of y**6/30 - y**4/2 + 4*y**3/3 + 2*y**2 + 3*y. Let p(c) be the first derivative of q(c). Let p(r) = 0. What is r?
-2, 1
Let w be (-9)/(5 - 2) + 18/2. Let a(t) be the first derivative of 44/35*t**5 + 19/7*t**4 + 64/21*t**3 + 4/7*t - 1 + 5/21*t**w + 13/7*t**2. Factor a(i).
2*(i + 1)**4*(5*i + 2)/7
Factor -39*h**4 + 2*h**2 + 2*h**2 + 55*h**4 - 20*h**3.
4*h**2*(h - 1)*(4*h - 1)
Let b(y) be the third derivative of 25*y**8/588 + 4*y**7/49 - 6*y**6/35 + 8*y**5/105 + 38*y**2. Solve b(k) = 0 for k.
-2, 0, 2/5
Solve 6/5*c**3 + 4/5*c**2 - 2/5*c**5 + 0 + 0*c + 0*c**4 = 0.
-1, 0, 2
Let k(g) be the third derivative of -g**7/70 + g**6/40 + g**5/20 - g**4/8 + 6*g**2. Factor k(l).
-3*l*(l - 1)**2*(l + 1)
Let a be 3*1/(-15) - 33/(-15). Factor -2*z - a*z**2 - 2/3 - 2/3*z**3.
-2*(z + 1)**3/3
Let t(l) be the third derivative of -l**9/120960 + l**7/10080 + l**5/10 + 7*l**2. Let q(y) be the third derivative of t(y). Find p such that q(p) = 0.
-1, 0, 1
Let s(k) = -4*k - 3 - 2*k + 4*k. Let p be s(-3). Factor -4*u - 3*u**p + 8*u + 2 - u**3 - 2*u**4.
-2*(u - 1)*(u + 1)**3
Let p(l) be the second derivative of l**6/240 + l**5/120 - l**4/48 - l**3/12 + 2*l**2 - l. Let j(m) be the first derivative of p(m). What is i in j(i) = 0?
-1, 1
Let j(m) be the third derivative of -m**5/3 - 11*m**4/3 - 16*m**3/3 + 7*m**2. Factor j(r).
-4*(r + 4)*(5*r + 2)
Let y be (36/20 - 3)/(-4). Let u(i) be the first derivative of 2 - y*i**5 + 0*i - 1/6*i**3 + 1/2*i**4 + 0*i**2. Factor u(k).
-k**2*(k - 1)*(3*k - 1)/2
Let c(p) = p**3 - 2*p**2 - 3*p + 3. Let t be c(3). Let l(s) = s**2 + 8*s + 9. Let y be l(-7). Factor -6*z**t - y*z**2 + 3*z**2 + 3*z**3.
-z**2*(3*z - 1)
Let c(z) be the second derivative of 0 + 3*z - 1/6*z**4 + 2*z**2 - 1/3*z**3. Factor c(r).
-2*(r - 1)*(r + 2)
Let f be 12/2 - (3 - 1). Factor -5*q + 17*q + f*q**2 - 15 - 17 + 40.
4*(q + 1)*(q + 2)
Suppose -5*q + 2*m + 22 = -3, 4*q = m + 17. What is s in -9*s**2 - 2*s**4 + 4*s - s**4 - s + 9*s**q = 0?
0, 1
Factor -40/11*f - 2/11*f**2 - 200/11.
-2*(f + 10)**2/11
Let q be (6/5)/(-3) - 608/(-570). Suppose 0 = u - 3. Suppose -2/3*n**2 + n**4 - 1/3*n**5 - q*n**u + n - 1/3 = 0. What is n?
-1, 1
Factor -6*o - 3/2 - 6*o**2.
-3*(2*o + 1)**2/2
Let m(i) be the first derivative of 8/5*i**5 + 1/3*i**6 + 0*i + 2*i**4 + 0*i**2 + 0*i**3 + 5. Factor m(y).
2*y**3*(y + 2)**2
Suppose u + 2*f - 4 = 4*u, 15 = 3*f. Factor -1/3*t**u - 4/3*t - 4/3.
-(t + 2)**2/3
Suppose -l - f = -0*l + 4, -2*l + 12 = -2*f. Suppose -d + 3 + l = 0. Factor 0*p**3 + p**d + p**3 - p**2 + p - 2*p**3.
p*(p - 1)**2*(p + 1)
Suppose 290*u + 20 = 300*u. Determine m, given that -4/5 - 1/5*m**u - 4/5*m = 0.
-2
Let k(c) = c**2 + 3*c + 2. Let j be k(-3). Suppose 4*t + 213 + 3 = 4*b, -j*t - 55 = -b. Factor -b*x**3 + 19*x**2 + 0*x**4 - 10*x**4 + 15*x**4 - 2*x + 31*x**4.
x*(x - 1)*(4*x - 1)*(9*x - 2)
Suppose -3*v - 2*z - 2 = 0, -4*v - v = z - 6. Factor -5*w + 5*w**3 + 2*w**2 - 4 + 4*w + 5*w**v - 7*w.
(w - 1)*(w + 2)*(5*w + 2)
Let t = 16 + -8. Let g be (-3 - -5)/(10/t). Suppose 8/5*u - g*u**3 + 4/5*u**2 - 6/5*u**4 + 2/5 = 0. What is u?
-1, -1/3, 1
Let w(t) be the third derivative of t**2 + 0*t**3 + 1/1848*t**8 + 0*t + 0*t**5 + 0*t**7 - 1/660*t**6 + 0*t**4 + 0. Suppose w(x) = 0. What is x?
-1, 0, 1
Let w(i) be the second derivative of 3*i**5/40 - 3*i**4/8 + 3*i**3/4 - 3*i**2/4 + i. Factor w(t).
3*(t - 1)**3/2
Suppose -a - 2*s = 3*a - 18, -2*s = 3*a - 16. Let u(v) be the first derivative of 2*v**a + 2 - 2/5*v**5 + 2*v + 0*v**3 - v**4. Determine o, given that u(o) = 0.
-1, 1
Factor -2/3 + 2*o + 2/3*o**3 - 2*o**2.
2*(o - 1)**3/3
Let k(p) be the first derivative of p**4/10 - 2*p**3/5 - 9*p**2/5 - 2*p + 16. Factor k(b).
2*(b - 5)*(b + 1)**2/5
Let i = -58 - -176/3. Determine x so that -1/3 - 1/3*x**2 + i*x = 0.
1
Let w(t) be the first derivative of 15*t**4/4 + 40*t**3/3 + 15*t**2/2 - 10*t - 11. Factor w(a).
5*(a + 1)*(a + 2)*(3*a - 1)
Let t(u) be the first derivative of -7*u**3/3 + 5*u**2/2 + 2*u + 36. Factor t(s).
-(s - 1)*(7*s + 2)
Let f(u) be the second derivative of -3*u**5/40 - 17*u**4/24 - 11*u**3/6 - 2*u**2 - 16*u. Let f(p) = 0. What is p?
-4, -1, -2/3
Let v = -19 - -13. Let y be ((-8)/6 - -2)*v. Let m(x) = -x**3 + x - 1. Let k(h) = 2*h**3 + 4*h**2 - 6*h + 4. Let s(q) = y*m(q) - k(q). Factor s(u).
2*u*(u - 1)**2
Suppose 0 = -2*g - 3*g. Let r(l) be the third derivative of 1/9*l**3 + g + 1/90*l**5 + 0*l + 1/18*l**4 - 3*l**2. Factor r(a).
2*(a + 1)**2/3
Let s = -2/1783 + 1793/8915. Factor 1/5*w**2 + s + 2/5*w.
(w + 1)**2/5
Let w(q) = -8*q**3 + 52*q - 23. Let t(j) = 3*j**3 - 17*j + 8. Let v(y) = 7*t(y) + 2*w(y). Suppose v(g) = 0. What is g?
-2, 1
Let z(h) be the third derivative of -h**7/420 - h**6/60 - h**5/24 - h**4/24 + 10*h**2. Factor z(x).
-x*(x + 1)**2*(x + 2)/2
Let o be (-1)/5*(-60)/(-8). Let d = -5/4 - o. Factor d*b**4 + b - 1 - b**3 + 3/4*b**2.
(b - 2)**2*(b - 1)*(b + 1)/4
Let r(m) be the third derivative of m**7/840 + m**6/240 - m**5/240 - m**4/48 - 13*m**2. Solve r(a) = 0 for a.
-2, -1, 0, 1
Let x(i) = i**2 - 5*i - 1. Let j = -11 + 16. Let v(o) = -j*o + 2*o + o. Let u(n) = -5*v(n) + 2*x(n). Solve u(a) = 0 for a.
-1, 1
Let m(v) be the first derivative of v**6/1440 + v**5/240 + v**4/96 + 2*v**3/3 + 3. Let h(w) be the third derivative of m(w). Factor h(f).
(f + 1)**2/4
Let f = 494/5 + -98. Determine a so that 6/5*a**4 + 2/5*a**5 + 0*a + f*a**3 + 0 + 0*a**2 = 0.
-2, -1, 0
Let p(i) be the second derivative of -7*i**6/45 - 2*i**5/5 - i**4/6 + 2*i**3/9 + 5*i. Find l, given that p(l) = 0.
-1, 0, 2/7
Suppose -2*s = -5*s. Suppose -b - 2 + 4 = s. Factor 2 - b*d**2 + 0 - d + d.
-2*(d - 1)*(d + 1)
Let j = 3887/11 + -353. Determine i so that -j*i**3 + 2/11*i**4 + 0*i**2 - 2/11 + 4/11*i = 0.
-1, 1
Let h(w) = 3*w**2 - 2*w - 7. Let a(r) = -4*r - 4 + 4*r - r**2. Let u be a(-3). Let y(x) = 7*x**2 - 5*x - 15. Let g(v) = u*h(v) + 6*y(v). Factor g(c).
(c - 1)*(3*c - 1)
Suppose -5*n = -n. Let m = n + 3. Factor -24/5*b + 12/5*b**2 - 2/5*b**m + 16/5.
-2*(b - 2)**3/5
Let c(w) be the second derivative of 1/2*w**2 - 8*w + 0 + 1/48*w**4 + 1/6*w**3. Factor c(g).
(g + 2)**2/4
Let a = 5 - 2. Suppose 3 = -4*f + a*q, -q - q = -f - 7. Determine i so that 0 + 1/3*i**2 + f*i**4 + 2*i**3 + 0*i = 0.
-1/3, 0
Let p(a) be the first derivative of -2/25*a**5 + 0*a**2 + 0*a - 2/5*a**4 - 1 - 8/15*a**3. Determine j so that p(j) = 0.
-2, 0
Factor 0 + 4/5*g - 1/5*g**2.
-g*(g - 4)/5
Let z be ((-7)/2)/(4/(-8)). Suppose -3*j + 2 = -z. Find a, given that 2/7*a**j + 0 - 8/7*a**2 + 8/7*a = 0.
0, 2
Factor 1/7*m**5 - 2/7*m + 0 - 3/7*m**4 + 1/7*m**3 + 3/7*m**2.
m*(m - 2)*(m - 1)**2*(m + 1)/7
What is u in 3*u**5 + 7*u**3 - 6*u**5 + 6*u**2 + 2*u**3 = 0?
-1, 0, 2
Let p(i) be the third derivative of -i**6/60 + 2*i**5/15 - i**4/3 + 9*i**2. Suppose p(c) = 0. What is c?
0, 2
Find r such that 0 + 1/5*r**4 - 2/5*r + 3/5*r**5 - 9/5*r**3 - 9/5*r**2 = 0.
-1, -1/3, 0, 2
Let i(q) = q**5 - q**4 + q**3 - q**2 + 1. Let j(s) = 3*s**5 - 3*s**4 + s**3 - s**2 + 2. Let v(p) = -6*i(p) + 3*j(p). Find n such that v(n) = 0.
-1, 0, 1
Let m be (-2)/(-5)*(-10)/(-6)*6. Let o(d) be the second derivative of 0 - 2*d**2 - 1/12*d**m - d + 2/3*d**3. What is q in o(q) = 0?
2
Let b(a) be the second derivative of -a**4/3 + 8*a**3/3 - 6*a**2 + 5*a. Factor b(o).
-4*(o - 3)*(o - 1)
Suppose 3*y + 0*y = 15. Suppose 0 = -5*i + 5, 0 = -2*q - 0*q - y*i + 9. Let -3/2