**3 + 0 + u*h - 4/5*h**5 + 2/5*h**4.
-2*h**3*(h - 1)*(2*h + 1)/5
Let d(x) = -245*x**3 + 235*x**2 - 60*x + 35. Let l(q) = 41*q**3 - 39*q**2 + 10*q - 6. Let j(y) = 6*d(y) + 35*l(y). Let j(f) = 0. What is f?
0, 2/7, 1
Suppose -2*o = 3*o - 15. Suppose 0 + 2/3*t**2 + 0*t + 1/3*t**4 - t**o = 0. Calculate t.
0, 1, 2
Let v(l) be the first derivative of -3*l - 3*l**3 + 3/4*l**4 + 9/2*l**2 - 2. Factor v(x).
3*(x - 1)**3
Let g = 1019 - 1015. Determine x, given that -2/3*x**g - 4*x**2 + 8/3*x**3 - 2/3 + 8/3*x = 0.
1
Let c(m) be the third derivative of -1/10*m**4 + 1/150*m**5 + 0 + 0*m + 3/5*m**3 - 7*m**2. Let c(i) = 0. Calculate i.
3
Let z(m) be the second derivative of -m**6/20 + 3*m**5/40 - 12*m. Factor z(i).
-3*i**3*(i - 1)/2
Let s(v) be the second derivative of v**6/15 + 3*v**5/10 + v**4/2 + v**3/3 + v. Suppose s(a) = 0. What is a?
-1, 0
Let x(c) be the third derivative of -c**8/20160 + c**7/2520 + c**5/60 - 2*c**2. Let f(b) be the third derivative of x(b). Factor f(z).
-z*(z - 2)
What is b in 4*b**4 - b**3 + b**3 - 4*b**2 + 8*b**3 - 8*b = 0?
-2, -1, 0, 1
Let d(f) be the first derivative of f**6/15 + 3*f**5/10 + f**4/8 - f**3/3 - f**2 + 8. Let g(k) be the second derivative of d(k). Factor g(n).
(n + 2)*(2*n + 1)*(4*n - 1)
Let c(s) be the first derivative of 4*s**3 + 27/2*s**2 + 6*s + 3. Factor c(a).
3*(a + 2)*(4*a + 1)
Suppose 3*c + 12 = 0, -6*d + d = -3*c - 32. Let 3*i - d*i - 7*i + 6*i**2 + 2 = 0. Calculate i.
1/3, 1
Suppose 5 = 8*h - 27. Let z(s) be the first derivative of -2 - 2/11*s**3 + 1/22*s**h - 2/11*s + 3/11*s**2. Determine m so that z(m) = 0.
1
Factor p**2 + 20 + 8*p**3 - 3*p**3 - 24*p**2 + 8*p**2.
5*(p - 2)**2*(p + 1)
Let o = 456/5 + -91. Factor 0*k + o*k**5 - 1/5*k**2 + 0 - 1/5*k**3 + 1/5*k**4.
k**2*(k - 1)*(k + 1)**2/5
Let j = 727/3231 - 1/359. Suppose 0 = -5*u + 25 - 15. Factor -4/9*f - j*f**u - 2/9.
-2*(f + 1)**2/9
Factor -33*z**2 - 3*z**4 + 0*z**3 + 36*z**2 + z**3 + z**5 - 2*z.
z*(z - 2)*(z - 1)**2*(z + 1)
Suppose -50/3*q**3 + 20/3 + 80/3*q + 55/3*q**2 = 0. What is q?
-1/2, -2/5, 2
Factor -3*j + 0 + 3/2*j**2.
3*j*(j - 2)/2
Suppose 4*j = 21*h - 19*h - 16, -j = -4*h + 11. Factor 0*b + 0 - 2/3*b**h - 1/3*b**3.
-b**2*(b + 2)/3
Factor 6*l - 15*l + 57*l + 3*l**2 + 192.
3*(l + 8)**2
Suppose 4 + 2 = 2*h. Let c(q) be the second derivative of 0 + 2*q + 1/18*q**4 + 0*q**2 - 1/9*q**h. Suppose c(p) = 0. What is p?
0, 1
Let x(w) be the third derivative of -w**9/52920 + w**7/4410 - w**5/420 + w**4/8 + w**2. Let b(c) be the second derivative of x(c). Let b(h) = 0. What is h?
-1, 1
Let t(j) = j**3 + 6*j**2 + 2*j - 10. Let x be t(-5). Suppose x*w - 2*w = 2*p + 7, 5*p - 8 = -w. Let -8/3 - 2/3*d**w + 2*d**2 + 0*d = 0. What is d?
-1, 2
Let -3*z**3 - 13*z + 147*z**3 - 16 - 115*z - 180*z**2 + 180*z**3 = 0. What is z?
-2/9, 1
Let x(u) be the first derivative of -5 - 3/4*u**4 - 2*u**3 + 0*u**2 + 0*u. Factor x(h).
-3*h**2*(h + 2)
Let h be (-4)/(-6) - 10/15. Suppose -5*q = -20 - h. Factor 2*p**2 + p - 5*p**q + 2*p**4 - p**5 - p**4 + 2*p**4.
-p*(p - 1)*(p + 1)**3
Let f(v) = -v**2 - v. Let i(l) = 9 - 12 - 24 + 3*l**3 + 47*l - 19*l**2. Let m(u) = -2*f(u) - i(u). Determine s, given that m(s) = 0.
1, 3
Suppose -24 - 6 = -5*l. Let c(k) = k**4 - k**3 + k**2 - k + 1. Let m(q) = -4*q**4 + 9*q**3 - 7*q**2 + 3*q - 7. Let r(h) = l*c(h) + m(h). Factor r(u).
(u - 1)*(u + 1)**2*(2*u + 1)
Let w(c) be the third derivative of -c**6/120 - c**5/60 + c**4/24 + c**3/6 + 4*c**2. Determine q so that w(q) = 0.
-1, 1
Suppose 0*x + 315 = -3*x. Let a be (-4)/(-14) + (-5)/x. Factor -2/3*l - 1/3*l**2 - a.
-(l + 1)**2/3
Let v be (-50)/15*(20/8 - 4). Let s(r) be the first derivative of 4/9*r + 13/9*r**2 + 2*r**3 + 14/45*r**v + 23/18*r**4 + 4. Solve s(x) = 0.
-1, -2/7
Let h(o) be the first derivative of o**5/180 - o**3/18 - o**2 - 4. Let z(d) be the second derivative of h(d). Solve z(b) = 0.
-1, 1
Let k(y) be the third derivative of y**6/240 - y**5/240 + y**3/6 + 2*y**2. Let o(h) be the first derivative of k(h). Factor o(d).
d*(3*d - 1)/2
Let m(q) be the third derivative of 1/120*q**5 + 0 - 1/12*q**3 + 0*q**4 + 0*q + q**2. Factor m(x).
(x - 1)*(x + 1)/2
Let u(h) be the third derivative of 0*h + 0*h**4 + 0*h**3 + h**2 + 0*h**5 + 1/60*h**6 + 0. Find q such that u(q) = 0.
0
What is m in 1/3*m**4 - 1/3*m**5 + 0 + 1/3*m**3 - 1/3*m**2 + 0*m = 0?
-1, 0, 1
Let c = 29 + -78. Let q be 7/c - (-2)/14. Determine a, given that 2/7*a**5 + 0*a**2 + 0 + q*a - 4/7*a**4 + 2/7*a**3 = 0.
0, 1
Factor 1/4*k - 1/8*k**4 - 5/8*k**2 + 1/2*k**3 + 0.
-k*(k - 2)*(k - 1)**2/8
Let q = -136 - -138. Factor 0*f + 0 - 3/4*f**5 + 3/2*f**4 + 0*f**q - 3/4*f**3.
-3*f**3*(f - 1)**2/4
Let k(r) be the second derivative of 0 - 1/60*r**4 + 0*r**2 + 1/30*r**3 + 2*r. Factor k(m).
-m*(m - 1)/5
Suppose 0 = 3*q - 3 - 57. Let v = q - 79/4. Determine i so that v*i - 1/4 + 1/4*i**2 - 1/4*i**3 = 0.
-1, 1
Let c(l) be the third derivative of 0 + 3*l**2 - 1/420*l**7 + 0*l - 1/80*l**6 + 0*l**3 + 0*l**4 - 1/60*l**5. Suppose c(y) = 0. Calculate y.
-2, -1, 0
Let w be 16/42 - (-2)/7. Suppose 3*n = 2*x, -4*n + 0*x - x = 0. Suppose 2/3*v**2 - w*v + n = 0. Calculate v.
0, 1
Let u(t) be the second derivative of 0 + 0*t**4 - 1/120*t**6 - t**2 + 1/60*t**5 - t + 0*t**3. Let k(g) be the first derivative of u(g). Factor k(f).
-f**2*(f - 1)
Suppose -5*s + 2 = -0*s + 3*j, 0 = 2*j + 2. What is v in 2 + 2*v - s + 0 + v**2 = 0?
-1
Solve 1 - 1/2*k + 1/2*k**4 - 3/2*k**2 + 1/2*k**3 = 0 for k.
-2, -1, 1
Let s(z) be the third derivative of -z**6/90 - 2*z**5/45 + 10*z**2. Determine q, given that s(q) = 0.
-2, 0
Suppose -2*f - 10 = 10. Let l be (-2 - -1)/(5/f). Factor -29*w**2 - 23*w**l - 12 - 4*w**3 + 13*w**2 - 5*w**3 - 48*w.
-3*(w + 2)**2*(3*w + 1)
Let 0 - 36/5*l + 24/5*l**2 - 4/5*l**3 = 0. Calculate l.
0, 3
Let n(r) be the second derivative of 2*r + 1/60*r**4 + 0*r**3 + 0 + 0*r**2. Factor n(p).
p**2/5
Let v(u) be the first derivative of u - 3 - 1/42*u**4 + 0*u**2 + 2/21*u**3. Let g(y) be the first derivative of v(y). Find f such that g(f) = 0.
0, 2
Let c(u) = -7*u**3 - 61*u**2 - 32*u + 5. Let m(y) = -6*y**3 - 62*y**2 - 32*y + 6. Let s(n) = -6*c(n) + 5*m(n). Suppose s(f) = 0. Calculate f.
-4, -2/3, 0
Factor -6*d - 3 - 6*d + 824*d**4 - 18*d**2 - 12*d**3 - 827*d**4.
-3*(d + 1)**4
Let d(l) be the third derivative of 1/100*l**5 + 0 + 0*l**3 - 1/300*l**6 + 0*l + 2*l**2 - 1/350*l**7 + 1/60*l**4. Factor d(f).
-f*(f - 1)*(f + 1)*(3*f + 2)/5
Suppose 0 = 19*i - 24*i + 15. Find u such that 3/4*u**2 + 1/4 + 3/4*u + 1/4*u**i = 0.
-1
Let v(s) be the first derivative of -1/2*s**4 - 2*s**3 - 3*s**2 - 1 - 2*s. Factor v(t).
-2*(t + 1)**3
Let i(q) = 3*q**3 + q**2 - 7*q + 1. Let f(h) = -10*h**3 - 3*h**2 + 22*h - 2. Let d(o) = 2*f(o) + 7*i(o). Find t, given that d(t) = 0.
-3, 1
Let q(u) = 2*u**5 + 4*u**4 - 8*u**3 - 11*u**2 + 5*u. Let a(n) = -n**2 - n. Let f(t) = -10*a(t) - 2*q(t). Find i, given that f(i) = 0.
-2, 0, 2
Let s = -14 + 24. Suppose -5*l - 4*n + 36 = -2*l, 4*n = -5*l + 52. Suppose -5*f**4 + 3*f**3 + 4 - 9*f**5 + l*f + 8*f**5 - s*f**3 + f**2 = 0. Calculate f.
-2, -1, 1
Find w such that 3*w**5 + 63*w - 63*w - 10*w**3 - 5*w**4 + 2*w**5 = 0.
-1, 0, 2
Let s(j) be the first derivative of -2*j + 0*j**3 - 1/24*j**4 + 0*j**5 - 2 + 1/60*j**6 + 0*j**2. Let d(o) be the first derivative of s(o). Factor d(h).
h**2*(h - 1)*(h + 1)/2
Let t(a) = -a**2 - 28*a + 24. Let g(u) = -u**2 - 42*u + 36. Let w(x) = 5*g(x) - 7*t(x). Determine j so that w(j) = 0.
1, 6
Suppose -l - 1 = 0, 5*i - 4*i - 5*l = 9. Suppose i*n = -0*n. Suppose n + 4/5*c**2 - 2/5*c - 2/5*c**3 = 0. What is c?
0, 1
Let d(b) be the first derivative of 3*b**5/5 - 3*b**4/4 - 23. Determine v, given that d(v) = 0.
0, 1
Let g(j) be the first derivative of -j**3/9 + 2*j**2/3 + 4. Determine a so that g(a) = 0.
0, 4
Find a such that 3/8*a**5 - 1/2*a + 0 + 1/8*a**3 + a**2 - a**4 = 0.
-1, 0, 2/3, 1, 2
Let r(q) be the second derivative of -q**9/10584 - q**8/2940 - q**7/2940 - q**3/3 - 2*q. Let y(h) be the second derivative of r(h). Let y(s) = 0. What is s?
-1, 0
What is s in 26/3*s**2 + 5/3 + 1/3*s**5 - 14/3*s**3 - 19/3*s + 1/3*s**4 = 0?
-5, 1
Let r(s) be the second derivative of -s**5/10 - s**4/3 + s**3 - 4*s. Determine i, given that r(i) = 0.
-3, 0, 1
Suppose -5*l - 17 = -z - 0, -4*l = -3*z + 18. Let b = 0 + z. Factor 2*d**2 + b*d + 2*d**3 + 0*