2 = 0. What is z?
-2, -1, 0, 1
Let t be 1/(-1 + (-10)/(-8)). Let w = t + -1. Let j + 4*j**2 - 13*j**2 + 0*j**w - 7*j - 3*j**3 = 0. What is j?
-2, -1, 0
Let a be (-66)/(-36) + 2/12. Determine w, given that 23*w - 43*w + w**a + 19*w = 0.
0, 1
Let w(a) be the second derivative of -a**7/63 + a**6/5 - 7*a**5/10 + 19*a**4/18 - 2*a**3/3 - 35*a. Solve w(m) = 0 for m.
0, 1, 6
Let y(d) be the third derivative of -1/20*d**5 + 0 + 0*d**4 + 0*d - 4*d**2 - 1/40*d**6 + 0*d**3. What is c in y(c) = 0?
-1, 0
Let w(u) = -u**3. Let p be w(0). Solve 2 + 2*m + p - 6*m + m + m**2 = 0 for m.
1, 2
Let l(w) be the third derivative of w**6/720 + w**5/120 - w**3 - w**2. Let r(z) be the first derivative of l(z). Factor r(p).
p*(p + 2)/2
Suppose 7*o - 6*o = -2. Let s(t) = t + 6. Let n be s(o). Solve -2/3*m**3 - 2/3*m**5 + 4/3*m + 4/3*m**2 + 1/3 - 5/3*m**n = 0.
-1, -1/2, 1
Let q(k) be the second derivative of k**6/10 - k**5/5 - k**4/6 + 2*k**3/3 - k**2/2 + 3*k. Factor q(c).
(c - 1)**2*(c + 1)*(3*c - 1)
Let j(z) = z**3 + 5*z**2 - z. Let t(p) = p**3 + 6*p**2 - p. Let s(c) = -c. Let n be s(-5). Let f(y) = n*t(y) - 6*j(y). Determine a, given that f(a) = 0.
-1, 0, 1
Let o(c) be the second derivative of -c**5/20 - 7*c**4/12 + c**3/6 + 9*c**2/2 + 3*c. Let l be o(-7). Factor -3*g - g**l + 0 - 2 + 0*g.
-(g + 1)*(g + 2)
Let z(h) = -55*h**2 - 105*h - 50. Let x(l) = -8*l**2 - 15*l - 7. Let v(j) = 20*x(j) - 3*z(j). Factor v(n).
5*(n + 1)*(n + 2)
Let z(v) = v**3 + 3*v**2 - 4*v + 2. Let r be z(-4). Solve -5*g**3 - r*g - 4*g**2 + 3*g**2 + 6*g**3 = 0.
-1, 0, 2
Suppose 5*a - 4 = 6*a. Let q = -2 - a. Factor -2*f + f + 2*f + 0*f**2 + q*f**2.
f*(2*f + 1)
Factor 0 + 1/3*p + 1/6*p**2.
p*(p + 2)/6
Let o(l) be the first derivative of l**6/18 - 4*l**5/15 + l**4/6 + 4*l**3/9 - l**2/2 - 4. Factor o(p).
p*(p - 3)*(p - 1)**2*(p + 1)/3
Factor -2401 - 13*h**3 - h**4 + 1372*h - 98*h**2 - 196*h**2 + 41*h**3.
-(h - 7)**4
Let x(l) be the second derivative of -3/2*l**3 + 2*l - 3/2*l**2 + 0 + l**4. Determine b, given that x(b) = 0.
-1/4, 1
What is y in -4*y**2 + 3*y**2 - 4*y**3 + 0*y**2 - 3*y**2 = 0?
-1, 0
Suppose -3 - 17 = 2*i. Let r be (-3 - -2)/(25/i). Factor -2/5*a**2 + 1/5*a**4 + 1/5*a**5 + 1/5 - r*a**3 + 1/5*a.
(a - 1)**2*(a + 1)**3/5
Let v(n) = 56*n**4 + 45*n**3 - 18*n**2 + 7*n. Let r(f) = -19*f**4 - 15*f**3 + 6*f**2 - 2*f. Let d(t) = -7*r(t) - 2*v(t). Factor d(j).
3*j**2*(j + 1)*(7*j - 2)
Let j(l) = l**2 - 2*l - 5. Let s be j(4). Let i(h) be the first derivative of 9*h**s + 4/3*h + 6*h**2 - 2. Factor i(t).
(9*t + 2)**2/3
Let u(k) be the third derivative of -k**5/270 + k**4/108 - 18*k**2. Solve u(q) = 0 for q.
0, 1
Factor 8*s**4 - 80*s**4 - 4*s**5 + 86*s**3 - 518*s**3 - 864*s**2.
-4*s**2*(s + 6)**3
Let p(j) = -j**5 + 3*j**4 + 6*j**3 - 8*j**2 - 5*j + 3. Let k(u) = -3*u**4 - 6*u**3 + 9*u**2 + 6*u - 3. Let o(m) = -2*k(m) - 3*p(m). Let o(i) = 0. What is i?
-1, 1
Suppose 3*q - 8 = 4*w - 1, 0 = -3*q + w + 4. Let j(z) be the first derivative of q + 2/27*z**3 - 4/9*z**2 + 8/9*z. Determine k so that j(k) = 0.
2
Let u = 222 + -885/4. Factor u*y**3 + 0 + 5/4*y**2 + 1/2*y.
y*(y + 1)*(3*y + 2)/4
Let q(u) = -u**3 - 2*u + 4. Let r be q(0). Let w(l) be the first derivative of -l**r + 2*l + 1 - 2/5*l**5 + 2*l**2 + 0*l**3. Factor w(s).
-2*(s - 1)*(s + 1)**3
Suppose 2*w - 2 = 2*j, 6*w - 3 = j + 3*w. Let j + 1/5*v**3 - 1/5*v**4 - 1/5*v**5 + 1/5*v**2 + 0*v = 0. What is v?
-1, 0, 1
Factor 0*x - 6/5*x**2 + 0 + 7/5*x**4 - 19/5*x**3.
x**2*(x - 3)*(7*x + 2)/5
Let q(v) be the second derivative of 3*v - 1/25*v**5 - 1/10*v**4 + 0 + 2/15*v**3 + 1/25*v**6 + 0*v**2. Suppose q(p) = 0. What is p?
-1, 0, 2/3, 1
Let v(z) = 31*z**4 - 44*z**3 + 45*z**2 + 6*z - 16. Let c(g) = -6*g**4 + 9*g**3 - 9*g**2 - g + 3. Let b(s) = 11*c(s) + 2*v(s). Find y, given that b(y) = 0.
-1/4, 1
Factor -6/11*q + 2/11 - 8/11*q**2.
-2*(q + 1)*(4*q - 1)/11
Let o = 8 - -8. Suppose -4*k + 3*l = 4*l - o, 5*l = k + 17. Factor -t**2 - 5 + 2*t + 3*t**2 + k - 2*t**3.
-2*(t - 1)**2*(t + 1)
Let r(i) = 20*i - 98. Let a be r(5). Let a*f**2 - 1/2*f - 3*f**3 - 1/2*f**5 + 0 + 2*f**4 = 0. Calculate f.
0, 1
Let x(q) = 13*q**2 - 10*q - 3. Let j(l) = -l**2 + l + 1. Let b(w) = 4*j(w) + x(w). Suppose b(g) = 0. What is g?
1/3
Let h(i) be the second derivative of -3/2*i**2 + 0 - 1/3*i**3 - 1/36*i**4 + i. Factor h(x).
-(x + 3)**2/3
Let w(o) be the second derivative of 0 + 0*o**3 + 1/36*o**4 + 1/2*o**2 - o - 1/90*o**5. Let f(d) be the first derivative of w(d). Factor f(n).
-2*n*(n - 1)/3
Let w(h) be the second derivative of h**6/105 + h**5/70 - 2*h**4/21 - 4*h**3/21 + 13*h. Factor w(s).
2*s*(s - 2)*(s + 1)*(s + 2)/7
Suppose 3 = 2*n - 1. Let g = 7 - 3. Solve -n*r**2 - r**2 + 4*r - g + 3*r**2 - r**2 = 0.
2
Let u(b) be the first derivative of -5*b**3/3 - 15*b**2/2 - 10*b - 14. Factor u(n).
-5*(n + 1)*(n + 2)
Let j(t) be the third derivative of t**6/360 - t**5/60 + t**3/3 - t**2. Let s(z) be the first derivative of j(z). Factor s(r).
r*(r - 2)
Let y(w) be the second derivative of -5*w**4/12 + 5*w**2/2 + 37*w. Factor y(i).
-5*(i - 1)*(i + 1)
Find k, given that 2/11*k + 0 - 2/11*k**2 = 0.
0, 1
Factor 1/4*y**2 + 1/2 - 3/4*y.
(y - 2)*(y - 1)/4
Solve 0 + 0*r**2 + 0*r - 2/7*r**3 - 2/7*r**4 = 0 for r.
-1, 0
Factor 56*f - 6*f**2 - 131 - 3*f**2 + 5*f**2 - 65.
-4*(f - 7)**2
Let q(k) = -k**2 - 5*k - 3. Let o be q(-3). Let h(f) = -3*f**3 + 2*f**2 + f. Let l be h(-1). Find j such that -2*j - 2*j**2 + 2*j - 3*j**o - 2*j**l - j**3 = 0.
-1, 0
Let u = -13526479/49995 - -6/5555. Let p = u + 271. Determine n, given that 10/9*n**4 - 2/9*n**5 - 2*n**3 + 0 + 14/9*n**2 - p*n = 0.
0, 1, 2
Determine w so that 1/4*w**4 + 54*w**2 + 324 + 6*w**3 + 216*w = 0.
-6
Let z(a) = -7*a**4 - a**3 + 2*a**2 + a - 5. Let j(x) = -4*x**4 - x**3 + x**2 + x - 3. Let o(i) = 10*j(i) - 6*z(i). Factor o(u).
2*u*(u - 2)*(u - 1)*(u + 1)
Let d = -16 + 17. Suppose -5 - d = -3*y. Determine i, given that 4/3*i - 2/3*i**y + 0 = 0.
0, 2
Suppose 2 = h - 0*h. Let i(r) = -r + 1. Let j be i(-4). Factor 5*u - 8*u**h + 12*u**3 + 5*u**4 - 3*u - 13*u**4 + 2*u**j.
2*u*(u - 1)**4
Let t(a) be the third derivative of -a**8/84 - 4*a**7/105 + a**6/15 + 4*a**5/15 - a**4/6 - 4*a**3/3 - 17*a**2. Solve t(j) = 0 for j.
-2, -1, 1
Let x(z) be the second derivative of -1/40*z**5 + 1/12*z**3 + 0*z**2 + 0 + 0*z**4 - 3*z. Solve x(a) = 0 for a.
-1, 0, 1
Let s(p) = -20*p**2 + 48*p + 92. Let t(k) = 8*k**2 - 19*k - 37. Let d(i) = -5*s(i) - 12*t(i). Let d(b) = 0. Calculate b.
-1, 4
Let s(t) be the third derivative of -3*t**6/320 + t**5/40 + t**4/64 - t**3/8 - 5*t**2. Suppose s(i) = 0. Calculate i.
-2/3, 1
Let w = 22/17 + -37/68. Let r be (-21)/(-60) + 2/5. Factor -r*f + w + 3/4*f**3 - 3/4*f**2.
3*(f - 1)**2*(f + 1)/4
Let 4/5 - 56/5*k**2 + 6*k**3 + 22/5*k = 0. What is k?
-2/15, 1
Factor s + 16 + s**2 - 16.
s*(s + 1)
Let d(x) be the second derivative of -4*x**7/735 - x**6/420 + 2*x**2 - 8*x. Let w(m) be the first derivative of d(m). Factor w(j).
-2*j**3*(4*j + 1)/7
What is p in 2*p**2 + 2*p - 3 - 6*p**3 + 1 + 2 + 4*p**5 - 2*p**4 = 0?
-1, -1/2, 0, 1
Suppose 6*u - 3*u = 48. Let n be ((-15)/10)/((-6)/u). Factor 7/3*v**5 - 4/3*v**3 - 2/3 - v + 14/3*v**2 - 4*v**n.
(v - 1)**3*(v + 1)*(7*v + 2)/3
Let f(q) be the third derivative of q**5/390 + q**4/78 + q**3/39 - q**2. Factor f(r).
2*(r + 1)**2/13
Let k = 1/32 - -59/160. Factor -2/5*p**2 + 0*p - 4/5*p**3 - k*p**4 + 0.
-2*p**2*(p + 1)**2/5
Let y(p) = p + 3. Let m be y(0). Suppose h + 4 = -2*o, -o + 4 = m*h + o. Solve -6/7*k**h - 10/7*k**2 + 0 + 2/7*k + 2*k**3 = 0 for k.
0, 1/3, 1
Let w = -169 + -100. Let c = w + 2425/9. Find d, given that -2/9*d**4 - c - 2/9*d**3 + 2/9*d + 2/3*d**2 = 0.
-2, -1, 1
Let m(s) be the first derivative of 0*s - 1/4*s**4 + 1 - 7/25*s**5 - 1/10*s**6 - 1/15*s**3 + 0*s**2. Let m(o) = 0. Calculate o.
-1, -1/3, 0
Let g(z) be the first derivative of -z**3/33 - z**2/22 + 2*z/11 - 5. Find p such that g(p) = 0.
-2, 1
Let 4/3*x + 2/3*x**2 - 10 = 0. What is x?
-5, 3
Let y(h) be the second derivative of h**4/48 + h**3/6 + h**2/2 - 3*h. Suppose y(r) = 0. Calculate r.
-2
Let c(b) be the second derivative of b**7/105 + b**6/15 + 7*b**5/50 + b**4/10 + 53*b. Solve c(u) = 0.
-3, -1, 0
Let o(s) be the first derivative of -7*s**6/660 + s**5/165 - s**2 - 4. Let i(f) be the second derivative of o(f). Factor i(n).
-2*n**2*(7*n - 2)