 - j**7/18900 + j**6/2700 + j**4/4 + 3*j. Let w(l) be the third derivative of y(l). Factor w(p).
-2*p*(p - 1)*(p + 2)/15
Let r be ((-1 - -2) + -2)*11. Let x = 15 + r. What is y in -2*y - y**3 + x*y - y**3 = 0?
-1, 0, 1
Let y(u) be the third derivative of u**6/540 - u**4/36 - 2*u**3/27 - 14*u**2. Find n, given that y(n) = 0.
-1, 2
Let v(u) = -2*u - 4. Let s be v(-3). Let c(z) be the second derivative of 0*z**3 - 1/6*z**s + 0 + z + 1/36*z**4. Factor c(k).
(k - 1)*(k + 1)/3
Suppose -3*i + 12 = 4*k - 1, 2*k - 11 = 3*i. Let z = i + 4. Find l, given that -z*l + l**2 + 3*l - 2*l**3 + l**4 = 0.
0, 1
Let x be -4 - -2 - -4 - 0. Let i = 0 + x. Factor 6*z - 2*z**5 - 2*z - 4*z**i + 4*z**4 - 2*z.
-2*z*(z - 1)**3*(z + 1)
Suppose -2 = -5*z - y + 2, -12 = -2*z - 3*y. Suppose 12 = 2*u + 4*r, -4*u - 2*r + 4*r + 4 = z. Factor 2*n**2 - 3*n - 3*n**2 + 2 + u*n**2.
(n - 2)*(n - 1)
Let j(h) = h**2 - 20*h + 38. Let p be j(2). Suppose -2*l + 3*z = -12, -l + 5*l - z - 4 = 0. Factor 2/9*w**p + l*w + 0 + 2/9*w**3.
2*w**2*(w + 1)/9
Let t = 140 + -83. Suppose 3*o = t + 9. Let f(m) = -m**3 + 2*m**2 + m + 2. Let c(z) = 5*z**3 - 11*z**2 - 5*z - 11. Let a(h) = o*f(h) + 4*c(h). Solve a(l) = 0.
-1, 0, 1
Suppose -5*g = 33 - 128. Suppose -2*n = -3*s - g, -2*n = s - 1 + 2. What is d in 2/9*d**n - 4/9*d + 2/9 = 0?
1
Let q(d) be the second derivative of -d**6/75 + d**5/50 + d**4/10 - d**3/3 + 2*d**2/5 + 11*d. Factor q(x).
-2*(x - 1)**3*(x + 2)/5
Let g be 3 - 0 - 1 - 110/88. Let u be 1/3 + 2/(-6). Factor 1/4*j**4 - g*j**2 + u + 1/2*j + 0*j**3.
j*(j - 1)**2*(j + 2)/4
Let p(n) be the first derivative of n**5/10 - n**3/2 - n**2/2 - 6. Factor p(f).
f*(f - 2)*(f + 1)**2/2
Let s(o) be the second derivative of 2/33*o**4 - 5/22*o**5 + 4/33*o**3 - 5/33*o**6 - 3*o + 0 + 0*o**2. What is w in s(w) = 0?
-1, -2/5, 0, 2/5
Let -4/5*y**2 - 2/5*y**3 + 4/5*y**4 + 2/5*y + 0 = 0. What is y?
-1, 0, 1/2, 1
Let d(i) = i**2 - 38*i + 138. Let r be d(34). Factor 0 + 0*t**r + 1/6*t**4 + 0*t - 1/3*t**3.
t**3*(t - 2)/6
Let n(o) be the first derivative of -o**7/280 + o**5/40 + 2*o**3/3 + 3. Let k(v) be the third derivative of n(v). Factor k(x).
-3*x*(x - 1)*(x + 1)
Factor 26/3*h**2 + 2/3*h**4 + 4*h**3 + 8*h + 8/3.
2*(h + 1)**2*(h + 2)**2/3
Let q(c) = -c**2 + 4*c. Let k be q(3). Factor -9/4*b**2 + 3/4*b**k + 9/4*b - 3/4.
3*(b - 1)**3/4
Let n(d) be the second derivative of 7*d**5/60 - 5*d**4/12 + d**3/2 - d**2/6 + 25*d. Suppose n(b) = 0. Calculate b.
1/7, 1
Let v(t) be the first derivative of 16*t**5/25 - 6*t**4/5 + t**3/15 + 3*t**2/5 + t/5 - 8. Factor v(o).
(o - 1)**2*(4*o + 1)**2/5
Suppose -2*t = -4 - 4. Suppose -3*y - v - 3 = -t*v, y - 4*v = -13. Factor 2/3*n**4 + 2*n**y + 2*n**2 + 2/3*n + 0.
2*n*(n + 1)**3/3
Let g(i) be the second derivative of -i**7/350 - i**6/180 - i**5/300 + 5*i**3/6 + 2*i. Let n(s) be the second derivative of g(s). Factor n(y).
-2*y*(2*y + 1)*(3*y + 1)/5
Let l(q) = 20*q**3 + 12*q**2 - 16*q - 8. Suppose -26 - 14 = -5*u. Let v(r) = -13*r**3 - 8*r**2 + 11*r + 5. Let k(h) = u*v(h) + 5*l(h). Factor k(j).
-4*j*(j - 1)*(j + 2)
Let c(z) be the first derivative of z**8/1260 - z**7/315 + z**5/45 - z**4/18 - z**3 + 8. Let u(b) be the third derivative of c(b). Suppose u(m) = 0. What is m?
-1, 1
Let q(w) = w**2 - 11*w + 14. Let f be q(10). Suppose n - 20 = -f*n - 3*y, -8 = -2*n + 5*y. Solve 0*k**2 + 0*k - 1/2*k**3 - 5/2*k**n + 0 - 2*k**5 = 0 for k.
-1, -1/4, 0
Suppose 7 - 1 = 2*q. Find w, given that 0*w**2 + 2/9*w**5 + 0 + 0*w + 4/9*w**4 + 2/9*w**q = 0.
-1, 0
Let x be 9 - (-17)/3 - 0. Factor 26/3*j + x*j**2 + 12*j**3 + 2 + 2/3*j**5 + 14/3*j**4.
2*(j + 1)**4*(j + 3)/3
Let c(k) be the first derivative of -k**3 - 15*k + 0*k + 9*k**2 - k - 11*k - 9. Let c(n) = 0. Calculate n.
3
Let r(o) = -o - 2. Suppose 0*t + 14 = -2*t. Let p be r(t). Factor p*s - 4*s**2 - 5*s + 5*s**2 + s**3.
s**2*(s + 1)
Let y = 37 + -71/2. Determine v, given that -3/2*v**2 + 3/2 + 3/2*v**3 - y*v = 0.
-1, 1
Let c(w) be the third derivative of w**6/120 - w**5/48 - 7*w**4/96 + w**3/12 + 9*w**2. Factor c(x).
(x - 2)*(x + 1)*(4*x - 1)/4
Suppose -z = 2*s - 4, s - 1 - 6 = -3*z. Let a be s*(-2)/4*-6. Factor 21/2*x**4 - a*x**2 + 3/2*x - 9/2*x**5 + 1/2 - 5*x**3.
-(x - 1)**3*(3*x + 1)**2/2
Let g(w) be the first derivative of -w**5/10 - w**4/4 + 2*w**3/3 + 2*w**2 + 5. What is z in g(z) = 0?
-2, 0, 2
Determine n, given that 0 + 1/4*n - 1/2*n**2 + 1/4*n**3 = 0.
0, 1
Let m = 0 - -4. Let k = m + -2. Suppose -2*w**2 - 2 - w + 0*w**k + 5*w = 0. Calculate w.
1
Let a(f) = 9 - 8 - 2*f - 2*f + f**3 + 2*f**2. Let i be a(-3). Factor 5*y**4 - 4*y**i - y**3 + 0*y**3.
y**3*(y - 1)
Let d(m) be the third derivative of m**9/15120 + m**8/6720 - m**4/8 + 2*m**2. Let f(s) be the second derivative of d(s). Factor f(r).
r**3*(r + 1)
Let o(p) be the first derivative of 0*p - 4 - p**4 + 0*p**2 + 2/5*p**5 + 2/3*p**3. What is h in o(h) = 0?
0, 1
Let b(p) be the second derivative of -p**5/10 - 2*p**4/3 - 5*p**3/3 - 2*p**2 + 11*p. Let b(q) = 0. Calculate q.
-2, -1
Let p(r) be the third derivative of 1/30*r**5 - 1/60*r**6 + 0 + 0*r - 1/3*r**3 + 1/12*r**4 + r**2. Factor p(t).
-2*(t - 1)**2*(t + 1)
Let u be (9/3)/(3/14). Determine d so that 14 - d - u + d**2 = 0.
0, 1
Let s = 122/55 - 20/11. Find b such that -s*b**3 + 2/5*b**4 + 0 - 2/5*b**2 + 2/5*b = 0.
-1, 0, 1
Let w be (-6)/(-10)*(3 - -2). Suppose -5*h + 3*g = w, 2*h = -3*h - 5*g + 5. Factor -2/5*i**3 - 1/5*i**2 - 1/5*i**4 + h*i + 0.
-i**2*(i + 1)**2/5
Let n(x) be the second derivative of 9*x**5/40 - 5*x**4/8 + x**3/4 + 3*x**2/4 - 8*x. Find o, given that n(o) = 0.
-1/3, 1
Let p(r) be the second derivative of r**7/420 - r**5/50 - r**4/60 + r**3/20 + r**2/10 - 4*r. Determine v so that p(v) = 0.
-1, 1, 2
Suppose 2/7*x**2 - 18/7*x - 20/7 = 0. What is x?
-1, 10
Suppose 30 = -u + 4*u. Let -u*o + 5 + 2*o**2 - 2*o**3 + 6*o**2 - 1 = 0. Calculate o.
1, 2
Let s(c) = -12*c**5 - 8*c**2 + 8*c. Let m(o) = -o**5 - o**4 - o**2 + o. Let r(f) = -8*m(f) + s(f). Solve r(w) = 0.
0, 2
Factor 4/9*h**2 + 0 + 4/9*h.
4*h*(h + 1)/9
Let c(z) = z - 15. Let d be c(9). Let p be 77/63 - (-2)/d. Factor 2/9*u**3 + 0 + p*u + 8/9*u**2.
2*u*(u + 2)**2/9
Let n(s) be the second derivative of -7*s**4/12 - 5*s**3 - 4*s**2 - 18*s. Let n(t) = 0. Calculate t.
-4, -2/7
Let g = 6 - 4. Let l be 4/2 - (1 - g). Factor -5 - 2*c**5 + 2*c**l + 5 + 0*c**5.
-2*c**3*(c - 1)*(c + 1)
Suppose -3*w + 16 = w. Let u(i) be the third derivative of 1/45*i**5 - 1/180*i**6 + 0*i - 1/36*i**w + 0 + i**2 + 0*i**3. Determine q, given that u(q) = 0.
0, 1
Let k(s) = -6*s**3 + 6*s + 5. Let t(v) = -v**3 - 6*v**2 - 5. Let d be t(-6). Let p(g) = -7*g**3 + 7*g + 6. Let y(r) = d*p(r) + 6*k(r). Solve y(x) = 0.
-1, 0, 1
Solve -20/13 + 22/13*a - 2/13*a**2 = 0.
1, 10
Let 1/2*b**2 + 0 + 0*b = 0. What is b?
0
Suppose 5*v - 14 = 6, -4*p - 3*v = -20. Let d be 1*p/(-6)*-1. Find q such that -1/3*q - d*q**4 + 1/3*q**2 + 0 + 1/3*q**3 = 0.
-1, 0, 1
Let d = -283/60 + 14/3. Let m = d + 3/10. Factor -m*y**4 + 0*y + 1/4*y**2 + 0 + 1/4*y**5 - 1/4*y**3.
y**2*(y - 1)**2*(y + 1)/4
Let a(m) = -m**2 + 1. Let y(d) = -5*d**2 - d + 2. Let p(n) = 10*a(n) - 5*y(n). Let p(x) = 0. Calculate x.
-1/3, 0
Let f(d) be the third derivative of -d**7/10080 + d**5/480 - d**4/8 - d**2. Let q(x) be the second derivative of f(x). Suppose q(b) = 0. Calculate b.
-1, 1
Let i(m) be the third derivative of -1/45*m**5 + 3*m**2 + 1/36*m**4 + 0*m + 0 + 0*m**3 + 0*m**6 + 2/315*m**7 - 1/504*m**8. Factor i(j).
-2*j*(j - 1)**3*(j + 1)/3
Let x be (160/(-24) - -7) + 2/(-6). Solve 1/2*w**2 - 3/2*w**3 - 1/2*w**5 + 0*w + x + 3/2*w**4 = 0 for w.
0, 1
Let j(p) = -3*p**2 + 21*p - 32. Let b(f) = 14*f**2 - 103*f + 161. Let s(n) = 2*b(n) + 11*j(n). Let s(r) = 0. Calculate r.
2, 3
Suppose z - 4*z = -33. Suppose 3*v - z = 3*n + 7, 3*v - 4*n = 22. Factor f**2 + 2*f**4 - 8*f - 3*f**v - 8*f**3 + 14*f**2 + 2.
2*(f - 1)**4
Let f(t) be the third derivative of -t**11/166320 - t**10/50400 + t**8/20160 + t**5/20 - 3*t**2. Let j(q) be the third derivative of f(q). Factor j(m).
-m**2*(m + 1)**2*(2*m - 1)
Let d = 8 - 8. Factor -3*b - b + d*b + 2 - 8*b**3 - 14*b**2.
-2*(b + 1)**2*(4*b - 1)
Let y(n) be the first derivative of -n**3/18 + n**2/6 - n/6 - 8. Factor y(w).
-(w - 1)**2/6
Let l(d) be the second derivative of -d**6/30 - d**5/20 - 7*d. Suppose l(t) = 0. What is t?
-1, 0
Let w