19*y**2 - 93*y**t - 7*y - 4 + 43*y - 7*y**2.
-(9*y - 2)**2
Let l = -32/15 - -11/5. Let x(f) be the first derivative of -2 + 0*f**2 + 4/25*f**5 - 4/15*f**3 + 0*f + 1/10*f**4 - l*f**6. Find p, given that x(p) = 0.
-1, 0, 1, 2
Let d(m) be the third derivative of m**8/840 + m**7/175 - 2*m**5/75 - 18*m**2. Suppose d(w) = 0. What is w?
-2, 0, 1
Let u = -12 + 7. Let g be 5/u + (-16)/(-10). What is x in -g*x**3 + 0*x + 0 - 1/5*x**5 - 3/5*x**4 - 1/5*x**2 = 0?
-1, 0
What is y in 2/9*y**2 - 4/9 + 2/9*y = 0?
-2, 1
Let t = 5766/11 - 524. Factor -2/11*x - t*x**2 + 0.
-2*x*(x + 1)/11
Let y(x) = -11*x**2 + 2*x + 1. Let d be y(-1). Let v = d - -17. Let -18/7*f**v - 10/7*f**3 + 8/7*f + 36/7*f**4 - 16/7*f**2 + 0 = 0. What is f?
-2/3, 0, 2/3, 1
Let g = 599/24 - 29/24. Solve -15*d - 45/2*d**2 - 2 + 63/4*d**4 + g*d**3 = 0.
-2, -2/7, -2/9, 1
Let v(m) = 7*m**2. Let h(u) = 3*u**2 - 2. Let c(f) = 13*f**2 - 9. Let y(j) = 2*c(j) - 9*h(j). Let q(k) = v(k) + 6*y(k). Factor q(p).
p**2
Let y = -267/230 + 6/23. Let a = y + 47/30. Solve -a*x + 2/3 - 2/3*x**2 + 2/3*x**3 = 0 for x.
-1, 1
Factor 2/3 + 1/3*k**2 + k.
(k + 1)*(k + 2)/3
Let u(z) = -z**3 - z**2 + 2*z - 3. Let j(r) = 5*r + 0*r**3 - 7*r + r + r**2 + r**3 + 3. Let k(m) = 3*j(m) + 4*u(m). Factor k(l).
-(l - 1)**2*(l + 3)
Suppose -4*s = -5*x + 28, 7*x - 2*x = s + 22. Factor -12*o**4 + 4*o**x + 5*o**3 - 7*o**4 + 9*o**5 + o**3.
3*o**3*(o - 1)*(3*o - 2)
Let s = -1 - -21. Let z be 165/s + 3 + 0. Let -27/2*n**4 - 5/4*n + z*n**3 + 1/4 - 3/4*n**2 = 0. What is n?
-1/3, 1/3, 1/2
Let o(x) be the second derivative of -x**5/5 + 2*x**4/3 + 2*x**3/3 - 4*x**2 - 2*x. Determine t, given that o(t) = 0.
-1, 1, 2
Suppose 2*m = 4*f - 14, -3*m = -2*m + 5. Find w, given that -f - 9/4*w**2 - 3*w = 0.
-2/3
Let k = -56 - -170/3. Suppose 0*d - k*d**2 + 0 = 0. What is d?
0
Determine n, given that 4*n**2 + 2*n + 3*n**3 + n**3 - 2*n**3 = 0.
-1, 0
Let b(d) = -28*d**2 + 20*d + 12. Let m(l) = 9*l**2 - 7*l - 4. Let t(y) = 6*b(y) + 20*m(y). Factor t(s).
4*(s - 2)*(3*s + 1)
Factor -8/5*n**3 + 0 + 0*n**2 + 0*n - 4/5*n**4.
-4*n**3*(n + 2)/5
Suppose 15 = t + 4*t. Suppose -4*a**4 - 6*a**t + 4*a**2 - 1 + 1 + 6*a**5 = 0. Calculate a.
-1, 0, 2/3, 1
Let b(w) be the first derivative of 7*w**4/6 + 5*w**3/3 - 2*w**2 - 3*w + 2. Let y(s) be the first derivative of b(s). Find u, given that y(u) = 0.
-1, 2/7
Let q(a) = 6*a - 32. Let v be q(6). Let x(f) be the second derivative of 3/8*f**v + 0*f**2 - 4*f + 1/4*f**3 + 1/20*f**6 + 9/40*f**5 + 0. Factor x(h).
3*h*(h + 1)**3/2
Let v(b) be the second derivative of 2*b**6/5 - b**5 - b**4/3 + 10*b**3/3 - 4*b**2 + 13*b. Suppose v(f) = 0. Calculate f.
-1, 2/3, 1
Let d(j) be the third derivative of -j**8/8400 + j**6/1800 + 5*j**3/6 - 4*j**2. Let s(p) be the first derivative of d(p). Let s(m) = 0. Calculate m.
-1, 0, 1
Let o(r) be the second derivative of 4*r**7/2205 - r**6/315 + r**5/420 + r**4/6 + 2*r. Let b(i) be the third derivative of o(i). What is w in b(w) = 0?
1/4
Suppose -7/2*z**2 + 2 + 6*z = 0. Calculate z.
-2/7, 2
Let g(x) be the first derivative of -3*x**5/20 + 45*x**4/16 - 12*x**3 + 33*x**2/2 - 38. Suppose g(b) = 0. Calculate b.
0, 2, 11
Let b(t) = -12*t**3 - 14*t**2 + 14*t - 14. Let s(c) = c**3 + c**2 - c + 1. Let y(d) = 2*b(d) + 28*s(d). Factor y(k).
4*k**3
Find m such that 4/9*m - 2/9*m**2 - 2/9 = 0.
1
Let u be (1/(-3))/((-270)/1296). Factor u*h**2 + 0 - 4/5*h**3 - 4/5*h.
-4*h*(h - 1)**2/5
Let r(j) = -j**4 + j**3 + j**2 + j. Let p(t) = 3*t**4 + t**3 - 4*t**2 - 14*t - 8. Let n(b) = 2*p(b) + 4*r(b). Determine c, given that n(c) = 0.
-2, -1, 2
Suppose 2*r - 3*r = u, -3*r = -4*u. Let z(o) be the first derivative of r*o**2 - 2/35*o**5 + 1/7*o**4 - 2/21*o**3 + 0*o + 2. What is f in z(f) = 0?
0, 1
Determine g so that 1/4*g + 5/4*g**2 + 3/4*g**3 - 1/4 = 0.
-1, 1/3
Let x be (-1 - 5)*((-15)/20)/3. Suppose 0*a**2 + 3/2*a**3 + 0 - x*a = 0. What is a?
-1, 0, 1
Let z(j) be the third derivative of j**8/210 + 13*j**7/525 - 13*j**6/300 - 2*j**5/75 + 23*j**2. Find t, given that z(t) = 0.
-4, -1/4, 0, 1
Determine m, given that -2*m**3 + 3*m**2 + 2*m + 0*m**3 + 3*m**3 = 0.
-2, -1, 0
Let w(n) be the second derivative of n**7/98 + 3*n**6/70 + 3*n**5/140 - 3*n**4/28 - n**3/7 - 13*n. Let w(p) = 0. What is p?
-2, -1, 0, 1
Solve 1/2*c**4 - c**2 - 1/4*c + 1/2*c**3 + 1/2 - 1/4*c**5 = 0.
-1, 1, 2
Let q be (0 - -1) + (9 - 8). Factor 2*l**3 + q*l**4 + 0*l**3 - l + l**3.
l*(l + 1)**2*(2*l - 1)
Let p(o) be the first derivative of 3*o**5/5 - 9*o**4/4 + o**3 + 9*o**2/2 - 6*o - 4. Factor p(a).
3*(a - 2)*(a - 1)**2*(a + 1)
Let c(b) be the second derivative of 0 + 0*b**4 + 0*b**6 + 0*b**2 + b + 1/63*b**7 + 0*b**5 + 0*b**3. Factor c(s).
2*s**5/3
Let -160 + 81*h - 5*h**4 - 145*h - 150*h**2 + 40 - 45*h**3 - 156*h = 0. Calculate h.
-3, -2
Factor -n**2 + 0*n + 0 + 1/2*n**4 + 1/2*n**3.
n**2*(n - 1)*(n + 2)/2
Let x(l) be the first derivative of -l**7/105 - l**6/10 - 2*l**5/5 - 2*l**4/3 + 2*l**2 - 1. Let w(g) be the second derivative of x(g). Factor w(q).
-2*q*(q + 2)**3
Suppose -5*b + 8 - 28 = 5*d, 5*d = 3*b - 28. Let o(x) = -x**3 - 4*x**2 + 6*x + 7. Let c be o(d). Factor 3*l**3 + l**c - 4*l**2 + 0*l**2.
3*l**2*(l - 1)
Let w(u) = -u**2 + 7*u - 7. Let o be w(5). Factor -4*f**2 + f + 0*f + o*f**2.
-f*(f - 1)
Let d(h) be the third derivative of -h**5/120 - 7*h**4/48 + 35*h**2 - 2. Suppose d(q) = 0. What is q?
-7, 0
Factor -62*y**3 + 5*y**3 + 240*y**2 + 5*y**4 - 3*y**4 + 300*y + y**4.
3*y*(y - 10)**2*(y + 1)
Let i(d) be the first derivative of -9*d**5/25 + 3*d**4/10 - 11. Factor i(l).
-3*l**3*(3*l - 2)/5
Let z(p) be the first derivative of p**5/5 - p**4/4 - p**3/3 + p**2/2 - 6. Determine v, given that z(v) = 0.
-1, 0, 1
Let y(x) be the second derivative of 2*x**7/7 - 2*x**6/3 + x**5/5 + x**4/3 - 3*x. Factor y(b).
4*b**2*(b - 1)**2*(3*b + 1)
Let d be ((-1 + 1)/(-2)*1)/3. Suppose -1/3*y**3 - 1/3*y + d - 2/3*y**2 = 0. What is y?
-1, 0
Factor 30*x - 9*x**2 - x**3 - 2*x**3 - 39*x - 3.
-3*(x + 1)**3
Let t(h) be the second derivative of -h**6/30 - 11*h**5/60 - 5*h**4/12 - h**3/2 - h**2/3 - 7*h. Factor t(f).
-(f + 1)**3*(3*f + 2)/3
Let w(k) be the first derivative of -4*k**6/75 - 6*k**5/25 - 13*k**4/30 - 2*k**3/5 - k**2/5 + k - 1. Let x(o) be the first derivative of w(o). Factor x(v).
-2*(v + 1)**2*(2*v + 1)**2/5
Let 10/9*t**4 + 2/9*t**3 - 10/9*t**2 + 0 - 2/9*t**5 + 0*t = 0. Calculate t.
-1, 0, 1, 5
Let r(m) be the first derivative of -7*m**3/24 - m**2/8 - 6. Solve r(d) = 0 for d.
-2/7, 0
Let l be (-8)/(-6) + 2/(-6). Suppose 3*b + b - b**2 + 7 - 3*b**2 + l = 0. What is b?
-1, 2
Let d(o) be the third derivative of o**8/3780 + o**7/1260 - o**5/540 + o**3/2 - 3*o**2. Let v(u) be the first derivative of d(u). Determine w so that v(w) = 0.
-1, 0, 1/2
Let c(j) be the third derivative of -j**8/784 + 3*j**6/280 - j**5/70 + 9*j**2. Solve c(u) = 0 for u.
-2, 0, 1
Suppose 4*x - 4 = 12. Solve -12*v**2 + 12*v**2 + 6*v - 2*v**3 - x = 0.
-2, 1
Let b(v) be the first derivative of 2/7*v**3 + 2/35*v**5 + 0*v + 3/14*v**4 - 2 + 1/7*v**2. Find n such that b(n) = 0.
-1, 0
Suppose -16 + 14*p - 21*p**2 - 83*p - 2 = 0. What is p?
-3, -2/7
Let 4*f**5 + 18*f - 8*f**3 - 50*f - 13*f**2 + 61*f**2 - 12*f**4 = 0. Calculate f.
-2, 0, 1, 2
Let a(p) be the first derivative of 1/2*p**3 + 1/2*p - 4 + 1/8*p**4 + 3/4*p**2. Factor a(c).
(c + 1)**3/2
Let i(z) be the third derivative of -z**5/540 - 4*z**4/27 - 128*z**3/27 + 18*z**2 - 1. Factor i(x).
-(x + 16)**2/9
Let w be 6/(-8)*8/(-36). Let b(q) be the third derivative of 0*q**3 + 1/10*q**5 + 0*q - 1/12*q**6 + 0 + 3*q**2 + w*q**4. Let b(t) = 0. Calculate t.
-2/5, 0, 1
Factor 3/7*v**2 + 12/7 - 15/7*v.
3*(v - 4)*(v - 1)/7
Factor 4*g - 4 - g**2 - 12*g - 6*g**2 + 3*g**2.
-4*(g + 1)**2
Let t(k) be the third derivative of k**5/240 + 5*k**4/96 - k**3/4 + 34*k**2. Suppose t(j) = 0. What is j?
-6, 1
Let d be 4/(-4)*1 + 3. Let f(w) be the third derivative of 1/3*w**4 - w**d - 4/9*w**3 + 1/60*w**6 + 0 + 0*w - 11/90*w**5. Factor f(c).
2*(c - 2)*(c - 1)*(3*c - 2)/3
Suppose 0*t = -2*t - 8, 3*a + 50 = -5*t. Let h = 10 + a. Factor -4/11*d**2 + 0*d + h - 2/11*d**3.
-2*d**2*(d + 2)/11
Let f(w) = -5*w**5 - 2*w**3 - 5*w - 6. Let s(v) = -4*v**5 - 2*v**3 - 4*v - 5. Let u(d) = -5*f(d) + 6*s(d). Factor u(j).
j*(j - 1)**2*(j + 1)**2
Suppose 0 = -0*c - 5*c + 25. Suppose -4*y + 16 = -2