/3*w**3 - w**2 - 4/3.
(w - 2)*(w + 1)**2*(w + 2)/3
Let z(o) be the first derivative of -2/9*o - 2/9*o**2 + 5 - 2/27*o**3. Determine p so that z(p) = 0.
-1
Let s(i) be the second derivative of 2*i**5/15 + 13*i**4/18 + 4*i**3/9 - 4*i**2 + 18*i. Suppose s(x) = 0. Calculate x.
-2, 3/4
Let u = 5 + -9. Let w be (8/6)/u*-9. Factor 0*d**4 + 2*d**5 - d**4 - 3*d**4 + 2*d**w.
2*d**3*(d - 1)**2
Factor -2*f**3 - 2*f**4 + 10*f - 2*f**5 + 4*f**3 - 10*f + 2*f**2.
-2*f**2*(f - 1)*(f + 1)**2
Solve -3*r**2 + 1238*r + 3 - 1238*r = 0 for r.
-1, 1
Let m = 61/5 - 12. Solve 0 - 1/5*y**3 + 0*y**2 + m*y = 0.
-1, 0, 1
Let g be 8/4 + 27/(-15). Let i(r) be the first derivative of g*r**2 - 1/10*r**4 - 3 - 2/5*r + 2/15*r**3. Factor i(s).
-2*(s - 1)**2*(s + 1)/5
Factor -6 - 39*g + 15*g**2 + 18 + 1777*g**3 + 9 - 1774*g**3.
3*(g - 1)**2*(g + 7)
Let k(b) = b**2 - 3*b - 7. Let w be k(5). Suppose w*n + n - 12 = 0. Determine q, given that 0 - 1/2*q + 2*q**2 - 3*q**n - 1/2*q**5 + 2*q**4 = 0.
0, 1
Let p(z) be the second derivative of z**7/10080 + z**6/720 + z**5/120 + z**4/12 - z. Let b(m) be the third derivative of p(m). Factor b(y).
(y + 2)**2/4
Let q(v) be the second derivative of v**5/15 - v**4/9 - 2*v**3/9 + 2*v**2/3 - v. Suppose q(z) = 0. Calculate z.
-1, 1
Let z(m) = m**3 - 10*m**2 + 10*m - 8. Let g be z(9). Let w(j) be the first derivative of 2/7*j - g + 2/21*j**3 - 2/7*j**2. Determine h, given that w(h) = 0.
1
Let t(d) be the third derivative of -d**7/2520 - d**6/240 - d**5/60 - d**4/24 - 3*d**2. Let b(s) be the second derivative of t(s). Determine p so that b(p) = 0.
-2, -1
Let c(u) be the second derivative of 0 + 8*u - 1/27*u**3 + 2/27*u**4 - 2/9*u**2 + 1/30*u**5. Determine j, given that c(j) = 0.
-1, 2/3
Let n(u) be the third derivative of -u**8/840 + u**7/105 - u**6/30 + u**5/15 - u**4/12 + u**3/2 - 3*u**2. Let f(r) be the first derivative of n(r). Factor f(d).
-2*(d - 1)**4
Find p, given that 15*p**2 - 78 + 9*p**3 - 12*p**5 + 3*p + 78 - 15*p**4 = 0.
-1, -1/4, 0, 1
Let f(s) be the first derivative of -s**7/1120 + s**6/720 + s**5/480 + 2*s**3 + 6. Let a(r) be the third derivative of f(r). Solve a(u) = 0 for u.
-1/3, 0, 1
Let p(u) be the first derivative of -u**4/14 + 2*u**3/21 + 2*u**2/7 + 7. Factor p(h).
-2*h*(h - 2)*(h + 1)/7
Let u = 20/33 + -3/11. Let l(m) be the second derivative of 0 + 1/18*m**3 + 1/36*m**4 - 2*m - u*m**2. Let l(z) = 0. What is z?
-2, 1
Let i = 116/9 + -92/9. Factor 8/3 + 2/3*u**2 + i*u.
2*(u + 2)**2/3
Factor 15*u**4 + 5*u**5 + 17*u + 3*u + 75*u**3 + 13*u**4 + 7*u**4 + 65*u**2.
5*u*(u + 1)**3*(u + 4)
Let n(q) be the first derivative of -q**4/10 - 4*q**3/15 - 6. Factor n(d).
-2*d**2*(d + 2)/5
Let w(u) = -u**2 + u - 1. Let j(c) = 5*c**2 - 7*c + 5. Let v(q) = j(q) + 3*w(q). Factor v(r).
2*(r - 1)**2
Suppose -4*u - 2 = -10. Factor 15*t**4 + 3 - 18*t + 3*t - 3*t**5 - 18*t**2 - 30*t**3 + 48*t**u.
-3*(t - 1)**5
Let w be 6*(-49)/(-6)*3. Determine u, given that 4 + 42*u + w*u**2 + 343/2*u**3 = 0.
-2/7
Let u = 138 + -412/3. Determine p, given that 0*p**2 + 0*p + 0 + 2/3*p**4 - u*p**3 = 0.
0, 1
Let q(n) be the second derivative of -n**7/56 + 7*n**6/40 - 27*n**5/40 + 5*n**4/4 - n**3 - 8*n. Determine w so that q(w) = 0.
0, 1, 2
Determine p, given that 1/3*p**5 - p**4 + p**2 - 2/3*p + 0 + 1/3*p**3 = 0.
-1, 0, 1, 2
Let g(t) = 12*t**2 - 10*t - 11. Let i(r) = -5 + r + 6 + 2*r**2 - 3*r**2. Let s(j) = 2*j + 6. Let x be s(8). Let b(n) = x*i(n) + 2*g(n). Solve b(w) = 0.
-1, 0
Factor -2/5*r**2 - 2/5*r**3 + 0 + 2/5*r + 2/5*r**4.
2*r*(r - 1)**2*(r + 1)/5
Let u(w) be the third derivative of 5*w**8/168 - w**7/42 - 7*w**6/24 + 7*w**5/12 + 5*w**4/24 - 5*w**3/3 - 2*w**2. Factor u(o).
5*(o - 1)**3*(o + 2)*(2*o + 1)
Let y(n) be the second derivative of n**8/23520 + n**7/4410 + n**6/2520 - n**4/12 - 2*n. Let w(q) be the third derivative of y(q). Let w(z) = 0. What is z?
-1, 0
Let f be (-5)/2*(-252)/70. Factor -f*m + 12*m + 27 + 15*m + 3*m**2.
3*(m + 3)**2
Let j(v) = v**2 + 5*v + 6. Let s be j(-4). Let k(p) be the first derivative of 1/6*p**3 - 1/2*p**2 - 1/2*p + s + 1/4*p**4. Factor k(m).
(m - 1)*(m + 1)*(2*m + 1)/2
Let h(j) be the third derivative of j**6/540 + j**5/54 - 11*j**4/54 + 16*j**3/27 - j**2 - 6*j. Suppose h(w) = 0. Calculate w.
-8, 1, 2
Let n = 7 + 1. Let o = n + -4. Factor 1/2*l**o + l**3 + 1/2*l**2 + 0*l + 0.
l**2*(l + 1)**2/2
Let x(c) be the second derivative of 2*c**5/25 - c**4/6 - 7*c**3/15 + 2*c**2/5 + 15*c. Determine k so that x(k) = 0.
-1, 1/4, 2
Let m(s) = s**2 - 2*s. Let f(r) be the first derivative of 1 + r**2 + 0*r - 1/3*r**3. Let k(v) = 3*f(v) + 2*m(v). Factor k(q).
-q*(q - 2)
Factor -3/4*j**2 + 1/4*j**3 + 0 + 1/4*j**5 + 3/4*j**4 - 1/2*j.
j*(j - 1)*(j + 1)**2*(j + 2)/4
Let o = 7 + -5. Suppose 4*l - 10 + o = 0. Factor 4 + 0*s**2 - 3 - s**l.
-(s - 1)*(s + 1)
Let u be (-8)/(-30)*3/2. Let i be -2*(4 + (-84)/20). Let 0 + i*o + 4/5*o**2 + u*o**3 = 0. Calculate o.
-1, 0
Determine z so that -5/2*z + 1/4*z**2 + 25/4 = 0.
5
Let j be (0 + 1/3)/1. Let s(c) be the third derivative of 0 + j*c**3 + 2*c**2 - 2/15*c**5 + 1/24*c**4 + 1/24*c**6 + 0*c. Solve s(o) = 0.
-2/5, 1
Let r = 85 - 85. Let a(y) be the third derivative of 0*y + 2/195*y**5 - 1/39*y**3 + 2*y**2 - 1/52*y**4 + r. Find k, given that a(k) = 0.
-1/4, 1
Suppose 0*j + 3/4*j**3 - 3/2*j**2 + 0 = 0. What is j?
0, 2
Let w(c) be the second derivative of 0 - 1/30*c**4 + 1/15*c**3 - 2*c + 0*c**2. Factor w(u).
-2*u*(u - 1)/5
Let l(k) be the first derivative of -4/3*k**3 - 3 + k**4 - 2*k**2 + 4*k. Factor l(a).
4*(a - 1)**2*(a + 1)
Let a(f) be the second derivative of -3*f**5/20 + f**4/4 - 2*f. Factor a(n).
-3*n**2*(n - 1)
Find z such that 146*z**4 + 2*z**2 - 147*z**4 - 2*z**2 = 0.
0
Find i, given that -1/4*i**2 + 1/4 + 1/4*i**3 - 1/4*i = 0.
-1, 1
Let l be (-3)/(9/(-2))*2/4. Factor l*z**2 + 2/3*z**3 + 0 + 0*z + 1/3*z**4.
z**2*(z + 1)**2/3
Let q(y) be the third derivative of -y**7/210 + y**5/20 + y**4/12 + 5*y**2. Factor q(o).
-o*(o - 2)*(o + 1)**2
Let l(y) = 5*y**3 - 5*y**2 + 6. Let p(k) be the first derivative of -k**4/4 + k**3/3 - k + 3. Let o(a) = -l(a) - 6*p(a). Determine u, given that o(u) = 0.
0, 1
Let j(b) = b**5 + b**4 + 6*b**3 - 2*b**2 - 2*b - 2. Let t(f) = f**5 + f**3 + f**2 - f - 1. Let a(u) = 3*j(u) - 6*t(u). What is x in a(x) = 0?
-2, 0, 1, 2
Factor 2/5*c**5 + 32/5*c**2 + 4/5 + 12/5*c**4 + 28/5*c**3 + 18/5*c.
2*(c + 1)**4*(c + 2)/5
Let o(b) = b**3 - b**2 + b + 1. Let s(u) = 30*u**3 + 24*u**2 - 63*u + 39. Let z(g) = -15*o(g) + s(g). Let z(h) = 0. Calculate h.
-4, 2/5, 1
Let m(v) be the first derivative of -3*v**5/35 - 3*v**4/28 + 2*v**3/7 - 9. Factor m(u).
-3*u**2*(u - 1)*(u + 2)/7
Factor -7*o**4 - 7*o**2 + 7*o**4 - 15*o**3 - 13*o**2 + 20*o + 10*o**4 + 5*o**5.
5*o*(o - 1)**2*(o + 2)**2
Solve 3/4*h**2 + 3/8*h + 0 + 3/8*h**3 = 0 for h.
-1, 0
Let m be (2/2 + -2)*13. Let f(w) = 11*w**3 + 6*w**2 - 6*w + 2. Let o(n) = 5*n**3 + 3*n**2 - 3*n + 1. Let p(g) = m*o(g) + 6*f(g). Solve p(l) = 0 for l.
1
Let s(p) be the third derivative of p**5/30 - p**4/6 + p**3/3 + 10*p**2. Suppose s(b) = 0. Calculate b.
1
Let u = 12 - 130/11. Determine g so that 0 - u*g**2 + 2/11*g = 0.
0, 1
Suppose -3*k - 9 = -3*s, 0 = -5*k - s - 0*s + 3. Let o(z) be the first derivative of k*z**2 - 1/5*z**5 + 0*z**4 - z + 2/3*z**3 - 2. Solve o(n) = 0.
-1, 1
Let x(b) be the second derivative of -1/45*b**6 - 2*b + 1/9*b**3 + 0*b**2 - 1/6*b**4 + 0 + 1/10*b**5. Solve x(d) = 0.
0, 1
Let d(q) = -5*q + 2. Let j be d(6). Let s = j + 28. Determine i so that -1/5 + 1/5*i**2 + s*i = 0.
-1, 1
Let a be (-18)/24 + 15/4. Let o be 12/18*a/4. Factor o*t + 0 + 3/2*t**2.
t*(3*t + 1)/2
Let r(a) be the second derivative of -a**6/90 + a**4/12 - a**3/9 - 37*a. Factor r(f).
-f*(f - 1)**2*(f + 2)/3
Let a(h) = -h**3 + 6*h**2 - 4*h - 3. Let c = 14 - 9. Let t be a(c). Factor 7*v + 14*v**3 - 4*v + 18*v**t + v.
2*v*(v + 1)*(7*v + 2)
Let a = -927 + 125146/135. Let g(v) be the third derivative of 0*v + 0*v**6 + 1/1512*v**8 - 1/108*v**4 + 0*v**3 + 2/945*v**7 + 0 - a*v**5 + v**2. Factor g(q).
2*q*(q - 1)*(q + 1)**3/9
Suppose -11*k - 8 = -30. Factor -2*g**3 + 0 + 0*g + 1/2*g**k.
-g**2*(4*g - 1)/2
Suppose -16*b + 12*b + 8 = 0. Solve 1/2*u**b - u + 1/2 = 0.
1
Let z = 4 + -1. Let -2*t**z + 4*t**3 - 2*t**2 + 0*t**5 + 2*t**4 - 2*t**5 = 0. What is t?
-1, 0, 1
Let d = 7 + -5. Let 49*a**3 -