*w**6 + 1/84*w**7 + 4*w + 0 - 1/8*w**5 + 2/3*w**3. Factor z(d).
(d - 2)**2*(d + 1)**3/2
Suppose 0 = 3*y - m - 10, -4*m + 20 = 2*y - 8*m. Suppose y*t + 2*k = -4, -t - k = -4*t + 10. Factor 8/3*o + 8/3*o**3 + 2/3*o**4 + 2/3 + 4*o**t.
2*(o + 1)**4/3
Let m(a) be the third derivative of -a**5/180 + a**4/24 + 5*a**3/9 + 9*a**2. What is z in m(z) = 0?
-2, 5
Suppose 2*n - 35 + 11 = 0. Suppose -4*d = s - 6*s + 30, -4*s - 4*d - n = 0. Find p, given that p**3 - 2 + p**s + 1 - p**5 - p**4 + 1 = 0.
-1, 0, 1
Let n(c) = -4*c - 1. Let u be n(-1). Let r(s) be the first derivative of -2 - 1/10*s**4 - 2/5*s + 2/15*s**u + 1/5*s**2. Factor r(x).
-2*(x - 1)**2*(x + 1)/5
Let j(n) be the first derivative of -1/3*n**3 - 1/2*n**2 + 0*n - 6. Factor j(m).
-m*(m + 1)
Suppose -t = -0 - 1. Let j(y) = 3*y**3 + 2*y - 1. Let p be j(t). Factor 3*v - 4 - 2*v**2 + p - v.
-2*v*(v - 1)
Suppose -5*w - 5*m = -20, 3*m = 3*w + 4*m - 12. Factor -10*f**3 - 9 - 10*f**w + f - 3*f**5 + 11 + 4*f.
-(f + 1)**4*(3*f - 2)
Let m = -48 - -53. Find a, given that 0*a**4 - 1/4*a + 0 + 1/2*a**3 + 0*a**2 - 1/4*a**m = 0.
-1, 0, 1
Let y(n) be the third derivative of -n**8/70 + n**7/70 - n**6/240 - n**3/2 - 3*n**2. Let l(u) be the first derivative of y(u). Solve l(a) = 0 for a.
0, 1/4
Find l such that -2/7*l**3 + 2/7*l - 4/7 + 4/7*l**2 = 0.
-1, 1, 2
Let w(b) be the first derivative of -b**4/30 + b**3/5 - 2*b**2/5 - b + 2. Let y(a) be the first derivative of w(a). Factor y(n).
-2*(n - 2)*(n - 1)/5
Let m(i) be the second derivative of 0 + 0*i**2 - 1/8*i**3 - 2*i + 1/8*i**4 - 3/80*i**5. Factor m(s).
-3*s*(s - 1)**2/4
Suppose -3*j**3 + 9/2*j**4 - 3*j**2 - 3/2*j**5 + 9/2*j - 3/2 = 0. Calculate j.
-1, 1
Let p(y) be the third derivative of -y**7/1995 + y**5/285 - y**3/57 - 15*y**2. Determine a so that p(a) = 0.
-1, 1
Let i(r) = -1. Let v(m) = m**2 + 3. Let z(o) = 4*i(o) + v(o). Let y be z(1). Let 1 + 1 + y*x**2 + 0 - 2*x**2 = 0. What is x?
-1, 1
Suppose 10*q + 4*q - 2*q**3 - 6*q = 0. What is q?
-2, 0, 2
Suppose -62*j - 3 = -63*j. Factor 4/7*b**j + 2*b**2 - 8/7 + 8/7*b.
2*(b + 2)**2*(2*b - 1)/7
Let i(l) be the third derivative of l**7/840 + l**6/120 - 4*l**3/3 + 3*l**2. Let a(m) be the first derivative of i(m). Suppose a(s) = 0. What is s?
-3, 0
Let s(o) = -4*o**2 + 3*o + 8. Let y be s(0). Solve y*x**3 - 32/3*x**2 + 1/3*x**5 + 0 - 8/3*x**4 + 16/3*x = 0 for x.
0, 2
Determine r so that -r**3 - 2*r - 5*r**2 + 55 - 55 + 2*r**2 = 0.
-2, -1, 0
Let q = -4 - -16. Suppose 0 = 3*c - 5*o + q - 3, c + o = 5. Determine b so that 2/3*b**4 - 2/9*b**5 - 2/3*b**c + 4/9*b - 2/9*b**3 + 0 = 0.
-1, 0, 1, 2
Let v = 459/131 - 220279/655. Let u = v + 334. Determine g, given that -2*g**4 + 2/5*g**2 - u*g**5 - 2/5*g**3 + 0*g + 0 = 0.
-1, 0, 1/3
Let b = -9 - -17. Suppose 0 = -3*h + b*h. Solve w + h*w**3 + 2*w**3 + w**5 - 4*w**3 = 0.
-1, 0, 1
Let d(h) = -h**4 + h**3 + h. Let k(p) = -6*p**4 + 9*p**2 + 6*p - 6. Let u be (-92)/28 - 4/(-14). Let y(b) = u*d(b) + k(b). Factor y(m).
-3*(m - 1)**2*(m + 1)*(m + 2)
Factor -18*w - 4 + 7 + 2 - w - 4*w**2.
-(w + 5)*(4*w - 1)
Let h = 883/2912 - -1/224. Suppose 2/13*j**2 + 0 - h*j + 2/13*j**3 = 0. What is j?
-2, 0, 1
Let j(v) be the third derivative of 1/1008*v**8 + 0*v**3 + 2*v**2 + 0 - 1/180*v**5 + 1/630*v**7 + 0*v - 1/360*v**6 + 0*v**4. Solve j(o) = 0 for o.
-1, 0, 1
Determine z, given that -2/3*z**5 + 6 + 10*z - 28/3*z**3 - 14/3*z**4 - 4/3*z**2 = 0.
-3, -1, 1
Suppose -3*z = -2*v + 4*v - 13, -4*z = v - 9. Let p(l) be the third derivative of 1/108*l**4 - 1/270*l**v + 0*l**3 + 0*l + l**2 + 0. What is k in p(k) = 0?
0, 1
Let a be ((-50)/8)/5*8. Let d = a + 14. Factor -2*t**3 + 9*t**d + 1 - 1 - 8*t**4 + t**2.
t**2*(t - 1)**2
Let d(l) be the third derivative of -125*l**9/756 + 5*l**8/14 - 2*l**7/7 + 4*l**6/45 - l**3/3 + 3*l**2. Let f(m) be the first derivative of d(m). Factor f(x).
-4*x**2*(5*x - 2)**3
Let p(k) be the third derivative of -k**5/60 + k**4/4 + 4*k**3/3 + k**2. Let x be p(6). Factor -2*n**4 - 6*n**3 + x*n + 3*n**2 - 3*n**2.
-2*n*(n - 1)*(n + 2)**2
Factor 3*c**3 + c**4 - 3*c**3 + c**3 + 0*c**4.
c**3*(c + 1)
Let a = 9 - 18. Let p be 2*(-3)/a*3. Factor -t**2 + 4*t**4 + p*t - t**5 - 3*t**2 - t**5.
-2*t*(t - 1)**3*(t + 1)
Let z(w) = -2*w + 3. Let b be z(3). Let q(s) = -2*s**3 + 2*s**2 - 2. Let j(t) = -2*t**3 + t**2 - t - 1. Let l(c) = b*q(c) + 2*j(c). Let l(h) = 0. Calculate h.
-1, 1, 2
Suppose -5*x + 84*x**4 - 7*x - 144*x**2 + 88*x**3 + 44*x = 0. Calculate x.
-2, 0, 2/7, 2/3
Let g(b) be the first derivative of 2/35*b**5 - 2/21*b**3 + 0*b + 1/14*b**4 - 6 - 1/7*b**2. Suppose g(p) = 0. Calculate p.
-1, 0, 1
Let j = -3 + 5. Suppose 2 - 2*q**2 + 6*q**j - 5*q - q**2 + 0*q**2 = 0. What is q?
2/3, 1
Let a be ((-1)/(-4)*6)/(243/180). Factor 0 - 2/9*q**4 - 4/9*q + 2/9*q**5 + a*q**2 - 2/3*q**3.
2*q*(q - 1)**3*(q + 2)/9
Let y(p) be the third derivative of 5*p**8/784 + 3*p**7/490 - p**6/40 - 3*p**5/140 + p**4/28 + 40*p**2. Determine s, given that y(s) = 0.
-1, 0, 2/5, 1
Suppose 2*j = -j + 6. Find m, given that 3*m**3 - 6*m - 9*m**4 + 1 - 9*m**j + 3*m**5 + 18*m**4 - 1 = 0.
-2, -1, 0, 1
Let q(d) be the first derivative of 9*d**4/2 - 28*d**3 + 25*d**2 - 8*d - 21. Factor q(p).
2*(p - 4)*(3*p - 1)**2
Suppose 2*i + q = 12, 0 = i - 2*q - 0*q - 1. Factor -2/5*b**i - 2/5*b**4 + 0 + 0*b**2 + 0*b + 0*b**3.
-2*b**4*(b + 1)/5
Let a(r) = -5*r - 180. Let s be a(-37). Factor 0 + 3/2*k**3 + 1/2*k**s - 3/2*k**4 + 0*k - 1/2*k**2.
k**2*(k - 1)**3/2
Let z(u) = u**3 + 1. Let k(g) = 9*g**3 + 7*g**2 - 3*g + 11. Let r(t) = -2*k(t) + 22*z(t). Determine y, given that r(y) = 0.
0, 1/2, 3
Let o(p) = 4*p**3 - 3*p**2 - 3*p + 1. Let h(y) = 7*y**3 - 6*y**2 - 5*y + 3. Let x(r) = -3*h(r) + 5*o(r). Factor x(f).
-(f - 2)**2*(f + 1)
Let x be (5/27)/(5/6). Factor -4/9*i**3 + 0*i**2 - x*i**4 + 0*i + 0.
-2*i**3*(i + 2)/9
Let c(g) be the first derivative of 1/15*g**6 - 1 - 1/10*g**5 - 3*g - 1/6*g**4 + 0*g**2 + 1/3*g**3. Let x(d) be the first derivative of c(d). Factor x(v).
2*v*(v - 1)**2*(v + 1)
Let p(v) = 4*v**3 - 6*v**2 - 18*v - 16. Let k(x) = -x**3 - x**2 - x. Let f(a) = -6*k(a) - p(a). Factor f(y).
2*(y + 2)**3
Suppose -3*i + b - 22 = -7*i, -5*i + 15 = -5*b. Let c = 17 + -12. Factor p**c - p**3 + i*p - 2*p - 3*p - p**4 + p**2.
p**2*(p - 1)**2*(p + 1)
Let n(a) be the first derivative of -a**3 + 9*a**2/2 - 6*a - 11. Find l, given that n(l) = 0.
1, 2
Find h, given that 4*h**2 - 4*h**4 - 270*h**3 + 270*h**3 + 2*h - 2*h**5 = 0.
-1, 0, 1
Let w(q) be the third derivative of -q**8/1848 - q**7/385 - q**6/220 - q**5/330 + 34*q**2. Solve w(y) = 0.
-1, 0
Let z(x) = x**2 - 4*x + 2. Let w be (1 - -9)/2 + -1. Let y be z(w). Determine h, given that -2 - 3 + 3*h + 3 - h**y = 0.
1, 2
Let c = 4/31 - -3/217. Solve 1/7*a**2 + 0 - c*a**3 + 0*a = 0.
0, 1
Factor 0*t + 0 - 2/5*t**3 - 2/5*t**4 + 0*t**2.
-2*t**3*(t + 1)/5
Let g(x) be the first derivative of -x**6/51 - 8*x**5/85 - 3*x**4/34 + 8*x**3/51 + 4*x**2/17 + 33. Let g(k) = 0. What is k?
-2, -1, 0, 1
Solve -4/11 - 2/11*h + 2/11*h**2 = 0 for h.
-1, 2
Let f(z) be the first derivative of 0*z**2 + 2/3*z**3 + 0*z + 3. Factor f(v).
2*v**2
Let z(x) = 3*x**2 + x + 2. Let n(t) = -4*t**2 - 2*t - 3. Let p(j) = 2*n(j) + 3*z(j). Let w(d) = -2*d**2 + 2*d. Let k(v) = -3*p(v) - w(v). Factor k(c).
-c*(c - 1)
Let h(w) be the third derivative of 4/3*w**3 + 1/30*w**6 + 0 + 0*w + 2/5*w**5 - 7/6*w**4 - 4/105*w**7 - 3*w**2. Determine d so that h(d) = 0.
-2, 1/2, 1
Let h(p) = -2*p**5 - 4*p**4 - 7*p**3 - 5. Suppose -4 = -d - 2*l + l, l = -1. Let y(w) = -2*w**5 - 4*w**4 - 6*w**3 - 4. Let s(f) = d*y(f) - 4*h(f). Factor s(n).
-2*n**3*(n + 1)**2
Let f be 4 + 1/(2/(-4)). Let j = -2 + 4. Factor f*k - k**j + 0 - 3 + 2.
-(k - 1)**2
Let h(r) = -12*r**4 - 25*r**3 + r**2 + 7. Let t be 14/63 + 94/(-18). Let n(y) = 8*y**4 + 17*y**3 - y**2 - 5. Let l(s) = t*h(s) - 7*n(s). Factor l(g).
2*g**2*(g + 1)*(2*g + 1)
Suppose -5*c = -c. Let c*k + 4*k**2 + 4*k - 2*k**2 = 0. What is k?
-2, 0
Let y be 4/(-1080)*58 + (-2)/(-5). Let d(l) be the second derivative of -7/54*l**4 + 2*l + 2/9*l**2 + y*l**3 + 0. Factor d(b).
-2*(b - 1)*(7*b + 2)/9
Suppose 0 = 2*q, 2*o - 3*q + 6 = 4*o. Suppose o*y - 6*y = -6. Solve 2 + r**2 - 2*r - 4 + r**y + 2*r**3 = 0.
-1, 1
Let g = 10 - 7. Suppose -3*z + 20 = -2*z + 5*b, -3*z + 24 = g*b. Suppose -z*f**5 + f**5 + 2*f**5 + 3*f**5 = 0. Wh