.
-1, 0
Let o = 51 - 49. Factor 1/3*c + 0 - 1/3*c**3 + 1/3*c**4 - 1/3*c**o.
c*(c - 1)**2*(c + 1)/3
Let s(l) = -l**2 + l - 1. Let v(a) = -8*a**2 + 4*a - 3. Let b(m) = 129*m**2 - 63*m + 48. Let k(x) = 2*b(x) + 33*v(x). Let c(z) = -k(z) + 3*s(z). Factor c(h).
3*h*(h - 1)
Let h be (-28)/(-35) - 6/(-5). Determine b, given that -1/2*b**3 - 1/2*b**h + b + 0 = 0.
-2, 0, 1
Solve -221*h**5 - 5*h**2 - 3*h**2 + 4*h + 228*h**5 - 21*h**3 - 2*h**4 = 0.
-1, 0, 2/7, 2
Let k(b) be the second derivative of b**5/5 - 5*b**4/3 + 16*b**3/3 - 8*b**2 + 43*b. Suppose k(u) = 0. Calculate u.
1, 2
Let w(y) be the first derivative of -y**4/2 + 3*y**2 + 4*y - 30. Suppose w(s) = 0. What is s?
-1, 2
Let l(f) be the first derivative of 2*f**5/5 + f**4/2 - 2*f**3 - f**2 + 4*f + 26. Let l(w) = 0. What is w?
-2, -1, 1
Let x(q) = 7*q**2 - 4*q + 1. Let a(i) = 36*i**2 - 21*i + 6. Let j(v) = 4*a(v) - 21*x(v). Factor j(p).
-3*(p - 1)*(p + 1)
Let t(g) be the first derivative of g**6/27 - 4*g**5/45 - g**4/6 + 16*g**3/27 - 4*g**2/9 + 11. Determine q so that t(q) = 0.
-2, 0, 1, 2
Let z be (-1)/3 + 21/9. Suppose -3*h = b - 4*h - 6, -2*b = 2*h - 4. Find p, given that 0*p**4 + 0*p**3 + b*p**4 - 2*p**2 + z*p**3 = 0.
-1, 0, 1/2
Let s be 1 + (3 - 0/1). Let 2*w**3 - w**3 + w**2 + w**4 + w**3 - s*w**3 = 0. Calculate w.
0, 1
Let m = 96 - 93. Solve -1/2 + 1/2*d**2 + 1/4*d**m - 1/4*d = 0.
-2, -1, 1
Suppose -2*x - 3 - 5 = -j, 2*j - 19 = 5*x. Find q such that -3*q - 5*q**3 - q + 3*q**3 + 10*q + 4*q**j = 0.
-1, 0, 3
Let z(i) be the first derivative of -i**5/25 + 4*i**4/5 - 32*i**3/5 + 128*i**2/5 - 256*i/5 + 4. Factor z(l).
-(l - 4)**4/5
Suppose 5*l + 25*l = 90. Solve -2/5*s**2 + 2/5*s**l + 0*s + 0 = 0 for s.
0, 1
Let n(z) = 11*z**4 - 14*z**3 + 24*z**2 - 14*z + 5. Let c(t) = 10*t**4 - 15*t**3 + 25*t**2 - 15*t + 5. Let y(x) = -6*c(x) + 5*n(x). Let y(d) = 0. Calculate d.
1
Let q(u) = -2*u**2 - 2 - 4 + u**3 - u + 2. Let w be q(3). Factor -2*j**w - 4*j - 4*j - 2 - 2 - j**3 - 3*j**2.
-(j + 1)*(j + 2)**2
Factor -4*h**2 - 5*h**3 + 3*h**5 + 0*h**2 + 5*h**2 - h**4 + 2*h.
h*(h - 1)**2*(h + 1)*(3*h + 2)
Let o(y) be the second derivative of -1/2*y**4 - 2*y + 0*y**2 + 0 - 2/3*y**3 - 1/10*y**5. Solve o(p) = 0 for p.
-2, -1, 0
Factor 0 - 1/3*g**3 + 2*g - 5/3*g**2.
-g*(g - 1)*(g + 6)/3
Let q(j) = 5 - 4*j - 16*j**2 + 0*j - 3. Let v(h) = -16*h**2 - 4*h + 2. Let b(z) = 6*q(z) - 5*v(z). Suppose b(u) = 0. Calculate u.
-1/2, 1/4
Suppose 2/3*s + 2*s**2 + 0 + 2*s**3 + 2/3*s**4 = 0. Calculate s.
-1, 0
Let v(r) be the second derivative of 4/5*r**2 - 7*r - 16/15*r**3 + 13/30*r**4 - 3/50*r**5 + 0. Determine x so that v(x) = 0.
1/3, 2
Let x(b) be the first derivative of b**4/8 - b**3/2 + 3*b**2/4 - b/2 + 1. Factor x(a).
(a - 1)**3/2
Let y(r) be the third derivative of -16*r**5/15 + 4*r**4 - 6*r**3 + 11*r**2. Factor y(c).
-4*(4*c - 3)**2
Factor 3/5 - 3/5*c**2 + 3/5*c**3 - 3/5*c.
3*(c - 1)**2*(c + 1)/5
Let h(p) be the third derivative of 2*p**7/105 + p**6/30 - 2*p**5/15 + 19*p**2. Factor h(s).
4*s**2*(s - 1)*(s + 2)
Let i(v) be the first derivative of v**7/1050 - v**5/150 + v**3/30 + 3*v**2/2 + 4. Let h(b) be the second derivative of i(b). Factor h(y).
(y - 1)**2*(y + 1)**2/5
Find l such that 2/21*l**5 + 0 - 2/21*l**4 + 0*l**3 + 0*l**2 + 0*l = 0.
0, 1
Let b(h) = h**3 + h**2 + 3. Let q be b(0). Factor q*c + 5*c - 4*c**3 - 4 - 4*c + 4*c**2.
-4*(c - 1)**2*(c + 1)
Suppose 3 - 4 - 21*y**3 + 18*y**2 + 1 + 3*y**4 = 0. What is y?
0, 1, 6
Let u = 22877/86 - 266. Let o = u - -337/602. Suppose 2/7 + 2/7*i**2 + o*i = 0. What is i?
-1
Let q(m) be the third derivative of -121*m**8/168 - 11*m**7/15 + 2*m**6/3 - 2*m**5/15 - 8*m**2. Factor q(a).
-2*a**2*(a + 1)*(11*a - 2)**2
Let y(l) be the first derivative of l**6/27 - 2*l**5/45 - l**4/9 + 7. Find k such that y(k) = 0.
-1, 0, 2
Let r(y) be the first derivative of y**8/5040 - y**7/2520 - y**6/270 + y**5/90 - 5*y**3/3 + 7. Let o(u) be the third derivative of r(u). Factor o(k).
k*(k - 2)*(k - 1)*(k + 2)/3
Let c be (2 + -1)*1 - 5. Let t be 7 + -9 - 9/c. Find i, given that 1/4*i**2 + 0 + t*i**4 - 1/2*i**3 + 0*i = 0.
0, 1
Suppose 0*u + 4 = 2*u. Let l be 0 - -3*(-6)/(-45). Factor l*w**4 + 2/5*w**u + 0*w + 0 - 4/5*w**3.
2*w**2*(w - 1)**2/5
Let s be 2951/195 - 2/15. Let w = 15 - s. Determine q so that -1/3*q**2 + w*q + 0 = 0.
0
Factor 2/15*m**3 - 4/15*m + 0 + 2/15*m**2.
2*m*(m - 1)*(m + 2)/15
Let a = 38 + -21. Let h = a - 14. Determine n so that 0*n**2 + 2/5*n**5 + 0 - 6/5*n**4 + 0*n + 4/5*n**h = 0.
0, 1, 2
Let o be (0 + 18)*(-2)/2. Let w be 25/9 - 4/o. Factor 20*p**w + 7*p - 7*p**3 + 15*p**2 + 3*p**4 + p**4 + 1.
(p + 1)**3*(4*p + 1)
Suppose 4*w - 4 = 108. Let l be 12/9*6/w. Determine f, given that 0*f + 2/7*f**3 + 0 + l*f**4 + 0*f**2 = 0.
-1, 0
Let q(z) be the first derivative of z**3 - 9*z**2 + 27*z + 4. Let q(w) = 0. Calculate w.
3
Let z(w) be the first derivative of 4*w**3/3 + 20*w**2 - 27. Factor z(d).
4*d*(d + 10)
Let o(a) = a**3 - 11*a**2 - a + 12. Let f be o(11). Factor f + 3*j**2 - 6*j - 1 + 0.
3*j*(j - 2)
Let l = -99 + 298/3. Let q(u) be the first derivative of 1 - 4*u - 2*u**2 - l*u**3. Determine b, given that q(b) = 0.
-2
Suppose -2*d + d = -2. Suppose d*r - 8 = 4*f, 3*f + 3 = r - 2. Find m such that r*m + 4*m**2 - 2*m - 2*m**3 = 0.
0, 2
Let s = 15 - 6. Suppose 14 - 9 = 5*f. Factor 3*r**2 - 2 - 1 - 9*r + s*r**3 - 2 + 3*r**4 - f.
3*(r - 1)*(r + 1)**2*(r + 2)
Suppose 0 = 5*j - 3*j. Factor 9 + l + l**2 + j*l + 5*l.
(l + 3)**2
Let s be (-2)/(4*(-4)/24). Find o such that -16 - 21*o + 5*o**s - 7*o**3 - 12*o**2 - 3*o = 0.
-2
Let l be ((-135)/33 - -4)*11/(-6). Factor 1/3*n**2 + 1/6*n**5 + l - 1/2*n**4 + 1/3*n**3 - 1/2*n.
(n - 1)**4*(n + 1)/6
Let l(z) = -z**2 + 9*z - 21. Let y be l(9). Let w = 21 + y. Let 0*o - 3/4*o**3 + 0*o**2 - 12*o**5 - 6*o**4 + w = 0. Calculate o.
-1/4, 0
Let c(l) be the first derivative of l**5/20 - l**4/2 + 2*l**3 - 4*l**2 - 4*l + 3. Let w(r) be the first derivative of c(r). Find x such that w(x) = 0.
2
Let a(p) be the first derivative of p**5/2 - 5*p**3/6 - 3. Factor a(v).
5*v**2*(v - 1)*(v + 1)/2
Let j be 217/63 - 6/2. Let o = 1/18 + j. Let 1/2*g**3 + 0*g + o*g**2 - 1/2*g**4 - 1/2*g**5 + 0 = 0. Calculate g.
-1, 0, 1
Let s be (-1)/(-1) + (2 - 3). Suppose 0*t + 4*t - 12 = s. Let -2/7*u**t - 2/7*u + 4/7*u**2 + 0 = 0. Calculate u.
0, 1
Suppose -j = 2*w - 7 - 2, 2*w + 5*j = 21. Factor 0*n - 2/3*n**4 - 2/3*n**w + 0 + 4/3*n**2.
-2*n**2*(n - 1)*(n + 2)/3
Let r = 2/75 - -19/225. Let a(p) be the third derivative of -r*p**3 + 0 - 1/180*p**5 + p**2 + 0*p - 1/24*p**4. Suppose a(m) = 0. Calculate m.
-2, -1
Let b = -6 + 8. Find q, given that -3*q**2 + 3*q**4 + 0*q**2 - 3*q**b + 2 + 1 = 0.
-1, 1
Let d(l) be the first derivative of -1 + 2*l**2 + 0*l + 2/3*l**3. Let d(u) = 0. Calculate u.
-2, 0
Let q(w) be the second derivative of -w**7/2100 + w**6/450 - w**5/300 - w**3/3 - w. Let v(r) be the second derivative of q(r). Let v(m) = 0. Calculate m.
0, 1
What is r in 1/3*r**5 - 4/3*r**3 - 22/3*r**2 + 6 + 4/3*r**4 + r = 0?
-3, -1, 1, 2
Let x(n) be the third derivative of -n**5/390 - n**4/26 - 3*n**3/13 - 5*n**2. Factor x(j).
-2*(j + 3)**2/13
Let m(o) be the third derivative of -1/84*o**4 + 1/210*o**5 + 0 + 3*o**2 + 0*o - 2/21*o**3. Factor m(u).
2*(u - 2)*(u + 1)/7
Let s(d) be the first derivative of -d**6/320 + d**5/160 + d**4/64 - d**3/16 + d**2/2 + 10. Let l(z) be the second derivative of s(z). Factor l(p).
-3*(p - 1)**2*(p + 1)/8
What is k in 28*k**3 + 2*k**2 + 16 - 24*k**3 - k**2 - 13*k**2 = 0?
-1, 2
Let w = 2 + 2. Let s(z) = 3*z**3 - z**2 - 3*z + 1. Let h(b) = -16*b**3 + 5*b**2 + 16*b - 5. Let m(u) = w*h(u) + 22*s(u). Factor m(g).
2*(g - 1)**2*(g + 1)
Let v(g) be the second derivative of 0*g**6 + 1/231*g**7 + 2*g + 0 - 1/55*g**5 + 0*g**4 + 1/33*g**3 + 0*g**2. Factor v(h).
2*h*(h - 1)**2*(h + 1)**2/11
Let t(n) be the first derivative of n**6/720 + n**5/240 - 2*n**3/3 + 3. Let o(d) be the third derivative of t(d). Factor o(u).
u*(u + 1)/2
Suppose l + 15 = 3*d, -3*l - 29 = -2*d - 3*d. Suppose -d*f = -4*c - 12, c - 15 = -5*f - 4*c. Factor 4*n**3 - 12*n**4 + 18*n**5 - 4*n**3 + 2*n**f.
2*n**3*(3*n - 1)**2
Let c = 87 + -782/9. Let i(z) be the third derivative of -c*z**3 + 0 + 0*z - 1/30*z**5 - z**2 - 1/180*z**6 - 1/12*z**4. Find x, given that i(x) = 0.
-1
Let l = -235 + 125. Let d be ((-8)/l)/((-4)/