d) = 0.
0
Let u(f) be the first derivative of 5*f**4/4 - 10*f**3/3 - 15*f**2/2 + 52. Solve u(k) = 0 for k.
-1, 0, 3
Let y(r) be the second derivative of r**7/840 - r**5/120 - r**3/3 + 4*r. Let m(j) be the second derivative of y(j). Factor m(f).
f*(f - 1)*(f + 1)
Suppose 2*i = d + 10, 3*d = -2*i - d. Let x(u) be the second derivative of -1/18*u**i - 1/18*u**3 + 0 - 1/60*u**5 - 4*u + 0*u**2. Solve x(s) = 0 for s.
-1, 0
Let t = 14 - 11. Suppose 3*j + 5 = v, -6*v + 20 = t*j - 2*v. What is y in 1/4*y**2 + y**5 - y**3 + 0 - 1/4*y**4 + j*y = 0?
-1, 0, 1/4, 1
Let w = 1 - -3. Factor 7*t**3 - 6 - 15*t**3 - w*t + 4 + 14*t**2.
-2*(t - 1)**2*(4*t + 1)
Suppose -3*n + 4*u = 5*u - 13, -3*n + 16 = 4*u. Determine w so that -8*w + 16/3 - 2/3*w**3 + n*w**2 = 0.
2
Let i = -1 - -3. Factor 2 - 2*j + 2*j + j - i*j**2 + 2*j**3 - 3*j.
2*(j - 1)**2*(j + 1)
Let i(j) be the first derivative of -2*j**5/25 + j**4/5 - 2*j**2/5 + 2*j/5 - 8. Suppose i(t) = 0. Calculate t.
-1, 1
Let p(y) be the second derivative of -y**6/900 - y**3/3 - 9*y. Let l(d) be the second derivative of p(d). Let l(j) = 0. What is j?
0
Factor 0 - 3/8*n**2 - 3/8*n**3 + 3/8*n**4 + 3/8*n.
3*n*(n - 1)**2*(n + 1)/8
Suppose -10*c + 6 = -24. Let v(o) be the third derivative of 1/120*o**5 + 1/24*o**4 - c*o**2 + 0*o + 1/12*o**3 + 0. Let v(j) = 0. What is j?
-1
Let l(p) be the second derivative of -2*p**4/15 + 11*p**3/5 - 8*p**2/5 - 20*p. Solve l(x) = 0.
1/4, 8
Let a be 0*(2 - (-28)/(-12)). Factor 0 + 0*m**3 + 2/3*m**4 - 2/3*m**2 + a*m.
2*m**2*(m - 1)*(m + 1)/3
Let p = -809 - -812. Solve 1/4*l**4 - 7/4*l**p - 5*l + 2 + 9/2*l**2 = 0 for l.
1, 2
Suppose -2*c = -6, -3*i + 4*i + 3*c = 9. Let -2*t**2 - 4*t - 8 + i*t + 12*t = 0. What is t?
2
Let t(k) be the second derivative of 3*k**5/5 + 3*k**4/4 - 9*k**3/2 + 3*k**2 + 3*k. Factor t(s).
3*(s - 1)*(s + 2)*(4*s - 1)
Let t(i) be the first derivative of -1/27*i**6 - 1/6*i**4 + 2/27*i**3 + 0*i**2 + 0*i - 7 + 2/15*i**5. Factor t(r).
-2*r**2*(r - 1)**3/9
Let a(w) = w**3 + w**2 - w + 1. Let t(n) = 3*n**3 + 2*n**2 - 3*n + 2. Let v(z) = -6*a(z) + 3*t(z). Let v(x) = 0. Calculate x.
-1, 0, 1
Let g = -9 - -14. Factor 2*y**3 - 2*y**2 + 0*y**3 - 2*y**g + 0*y**5 + 0*y**5 + 2*y**4.
-2*y**2*(y - 1)**2*(y + 1)
Let u be (4/(-6))/((-2)/3). Let k be 1 + u - 28/21. Determine d so that -4/3*d**4 + 0 + 0*d - 2/3*d**3 - k*d**5 + 0*d**2 = 0.
-1, 0
Let v = -1406 + 1409. Determine u, given that 0*u**2 - 1/2 + 3/4*u - 1/4*u**v = 0.
-2, 1
Let z(v) = -v**2 - v + 1. Let x(u) = 3*u**2 + 11*u + 3. Let b(a) = -x(a) - 2*z(a). Let d be b(-8). Find m such that -3*m**3 + 4*m**d + m**4 + 0*m**4 = 0.
-1, 0
Let z(f) be the first derivative of 9/4*f**4 + 3/2*f**2 + 0*f + 3/5*f**5 - 4 + 3*f**3. Factor z(h).
3*h*(h + 1)**3
Suppose 2/7 + 30/7*u**2 - 50/7*u**3 + 18/7*u = 0. Calculate u.
-1/5, 1
Let r(n) be the first derivative of n**6/6 + 2*n**5/25 - n**4/4 - 2*n**3/15 + 8. Solve r(w) = 0.
-1, -2/5, 0, 1
Let z(r) be the second derivative of -r**5/20 - r**4/8 + 3*r**2/2 - 3*r. Let b(g) be the first derivative of z(g). Factor b(l).
-3*l*(l + 1)
Let q(h) be the first derivative of -3/20*h**5 + 2 - 3*h**2 + 1/2*h**4 + 3*h + 1/2*h**3. Let v(m) be the first derivative of q(m). Factor v(z).
-3*(z - 2)*(z - 1)*(z + 1)
Let d be 33/7 - 1/((-14)/4). Find l, given that -1/3*l**3 - l**4 + l**2 + 0 - 1/3*l + 2/3*l**d = 0.
-1, 0, 1/2, 1
Factor -1/5*n**2 + 0*n + 0.
-n**2/5
Let w(j) be the second derivative of -j**7/2940 + j**5/420 - j**3/6 + 3*j. Let r(l) be the second derivative of w(l). Find y, given that r(y) = 0.
-1, 0, 1
Let z = -85 + 89. Factor -16/7*j**z + 0 - 24/7*j**3 - 2/7*j - 12/7*j**2.
-2*j*(2*j + 1)**3/7
Suppose -3*l - 2 = -4*l. Suppose -2*m - l*m + 8 = 0. Find t such that 2*t**3 - 3*t**2 - 2*t**2 + 7*t**m = 0.
-1, 0
Suppose -1/4*k + 0 - 1/8*k**3 - 3/8*k**2 = 0. What is k?
-2, -1, 0
Let 37*a + 4*a**5 - 12*a**5 + 16*a**4 - 24 + 31*a + 4*a**5 - 56*a**2 = 0. What is a?
-2, 1, 3
Let d(b) = -3*b**2 - 7*b + 10. Let t be d(-3). Factor 4/5 - 4/5*k**t + 0*k**2 + 8/5*k - 8/5*k**3.
-4*(k - 1)*(k + 1)**3/5
Let n(t) = -14*t**2 - 52*t - 30. Let l(p) = -5*p**2 - 18*p - 10. Let c(w) = 8*l(w) - 3*n(w). Factor c(g).
2*(g + 1)*(g + 5)
Suppose 5*t - 10*t = -10. Solve 3 - 6 + 5*u**t + 2*u**2 - 4*u**2 = 0.
-1, 1
Let d(w) be the first derivative of -6 + 0*w**2 + 0*w - 1/4*w**3 + 3/16*w**4. Factor d(i).
3*i**2*(i - 1)/4
Let v(y) be the second derivative of -y**7/2100 - y**6/450 - y**5/300 - y**3/2 - 3*y. Let x(j) be the second derivative of v(j). Factor x(b).
-2*b*(b + 1)**2/5
Factor 4/5*y**2 - 2/5*y + 0*y**3 + 0 - 4/5*y**4 + 2/5*y**5.
2*y*(y - 1)**3*(y + 1)/5
Suppose -2*j + 4*j = 8. Let i(c) = -2*c + 6. Let n be i(j). Let o(v) = 12*v**2 + 25*v - 5. Let u(x) = 3*x**2 + 6*x - 1. Let z(t) = n*o(t) + 9*u(t). Factor z(w).
(w + 1)*(3*w + 1)
Let q(d) be the second derivative of 1/30*d**4 + 0 + 0*d**2 + 0*d**3 + 7*d. Let q(o) = 0. What is o?
0
Let r(d) = 7*d**3 - d**2 - 3*d. Let j(a) = -3*a**3 + a. Suppose -2*v + 4 = -4*v. Let b(f) = v*r(f) - 5*j(f). Suppose b(t) = 0. Calculate t.
-1, 0
Suppose 2*h = -4*i, -h + 2*h = -4. Let r be ((-3)/(-2))/((-1)/(-2)). Factor -3*k**3 + 0*k**3 + i*k**r.
-k**3
Let y = 437/15 - 85/3. Let n = -2/41 + 92/205. Let y*r**2 - n*r**3 + 0 - 2/5*r = 0. Calculate r.
0, 1
Factor -6/11*x + 8/11*x**2 + 0.
2*x*(4*x - 3)/11
Suppose 0 = t + t + 4, 0 = -3*q - 4*t + 10. Let y = -3 + 6. Let -12*c + 3 + 10*c**3 + 3*c**2 - c**3 + y*c - q*c**4 = 0. Calculate c.
-1, 1/2, 1
Let p(h) be the second derivative of -h**6/360 - h**5/90 + h**2/2 - 3*h. Let d(u) be the first derivative of p(u). Factor d(o).
-o**2*(o + 2)/3
Let h(t) be the first derivative of 0*t**4 + 2 - 2/21*t**3 + 0*t**2 + 0*t + 2/35*t**5. Find n such that h(n) = 0.
-1, 0, 1
Find v such that 2 + 3*v**4 - 23*v + 12*v**2 + 15*v - v**4 - 8*v**3 = 0.
1
Let y(m) = -14*m**4 + 31*m**3 - 13*m**2 - 11*m - 7. Let x(d) = 7*d**4 - 15*d**3 + 6*d**2 + 5*d + 3. Let l(w) = 14*x(w) + 6*y(w). Factor l(f).
2*f*(f - 1)**2*(7*f + 2)
Let z(i) be the second derivative of -i**5/70 + i**4/21 - 5*i. Factor z(b).
-2*b**2*(b - 2)/7
Suppose 5 = 11*d - 17. Let k(n) be the second derivative of 4*n - 2/3*n**3 + 0 + 0*n**d + 1/3*n**4 - 1/20*n**5. Factor k(w).
-w*(w - 2)**2
Let w be 2/14*-23 - -11. Let s = -1158/7 - -168. Determine p, given that 2/7*p**3 - 54/7 - s*p**2 + w*p = 0.
3
Let k = 170101/150 + -1134. Let y(a) be the second derivative of 1/30*a**3 - 1/10*a**2 + 1/30*a**4 - k*a**6 + 1/210*a**7 + a - 1/50*a**5 + 0. Factor y(u).
(u - 1)**3*(u + 1)**2/5
Let s(b) be the first derivative of -6/5*b**5 - 3/2*b**4 - 2 + 0*b - 1/3*b**6 + 0*b**2 - 2/3*b**3. Factor s(h).
-2*h**2*(h + 1)**3
Let o(t) be the third derivative of 3/140*t**6 + 0*t**4 + 0*t - 1/105*t**5 - 1/105*t**7 + 0 + 0*t**3 - 2*t**2. Factor o(g).
-2*g**2*(g - 1)*(7*g - 2)/7
Let y(q) be the second derivative of q**5/100 - q**4/20 + q**3/10 - q**2/10 - 14*q. Determine v, given that y(v) = 0.
1
Suppose -4*t + 0*v - 3*v + 27 = 0, -3*v = -5*t. Factor 2/11*q**t + 4/11*q**2 + 0 + 2/11*q.
2*q*(q + 1)**2/11
Factor -96 - 22*i**2 - 3*i**3 - 20*i**2 + 60*i**2.
-3*(i - 4)**2*(i + 2)
Let b(i) be the second derivative of i**4/6 + 2*i**3/3 - i**2/2 + i. Let h be b(-3). Factor -1/4*k**h + 0*k + 0 + 0*k**2 + 0*k**3 - 1/4*k**4.
-k**4*(k + 1)/4
Factor 2/5*v + 2/5*v**2 - 4/5.
2*(v - 1)*(v + 2)/5
Solve 9/4 + 3/2*n + 1/4*n**2 = 0 for n.
-3
Let x(i) be the first derivative of -i**5/25 - 12*i**4/5 - 288*i**3/5 - 3456*i**2/5 - 20736*i/5 - 43. Solve x(l) = 0.
-12
Let h = 4 - 2. Determine a so that 0 - a**2 - 2*a + h*a - 2 - 3*a = 0.
-2, -1
Let v(h) be the third derivative of -7*h**5/12 - h**4/6 + 2*h**3/3 + 3*h**2. Find o, given that v(o) = 0.
-2/5, 2/7
Suppose 0 = 3*p - 2*r + 118, -5*p + 24 = -4*r + 224. Let j be 0 + -1 - p/27. Determine a so that -j*a + 1/3*a**2 + 1/3*a**3 - 1/3 = 0.
-1, 1
Let k = -14643/5 - -2983. Let a = k - 54. Determine l, given that a*l**3 - 2/5*l**2 + 0 - 2/5*l**5 + 0*l + 2/5*l**4 = 0.
-1, 0, 1
Let z(y) = 4*y**2 + 13*y + 7. Let r(f) = f - 1. Let b(t) = -r(t) + z(t). Determine m so that b(m) = 0.
-2, -1
Suppose 4*g - 6 = 6*g. Let y be (-2 - 1 - g)/(-1). Let 2/3*u**4 + y + 4/3*u**3 + 0*u + 2/3*u**2 = 0. What is u?
-1, 0
Suppose 18 = 2*g + g. Let x(j) = j**3 - 1. Let v(c) = -4*c**3 - c**2 + c + 4. Let t(q) = g*x(q) + 2*v(q). Let t(a) = 0. Calculate a.
