Let m(g) be the first derivative of -2*g**6/3 - 8*g**5/5 + 3*g**4 + 9. Let m(c) = 0. What is c?
-3, 0, 1
Let b(g) be the third derivative of -g**6/30 - g**5/15 - 13*g**2. Solve b(u) = 0 for u.
-1, 0
Let n(b) be the third derivative of 1/6*b**4 + 1/3*b**3 + 3*b**2 + 0 + 0*b + 1/30*b**5. Factor n(h).
2*(h + 1)**2
Let d(q) be the third derivative of q**6/360 - q**5/90 - q**4/24 + 6*q**2. Factor d(y).
y*(y - 3)*(y + 1)/3
Let k(u) be the third derivative of 0*u - 1/24*u**4 + 0*u**3 - u**2 + 0 - 3/10*u**6 + 1/5*u**5. Factor k(q).
-q*(6*q - 1)**2
Suppose 7 = o + o - p, 4*o - 5 = -p. Determine u, given that o*u**4 + 6*u**3 + u - 4*u**3 - 2*u**2 + u - 4*u**3 = 0.
-1, 0, 1
Let k(h) be the first derivative of h**7/3780 - h**6/405 + h**5/108 - h**4/54 + 5*h**3/3 + 5. Let d(j) be the third derivative of k(j). Factor d(t).
2*(t - 2)*(t - 1)**2/9
Let d(c) be the third derivative of -3/112*c**8 - 1/70*c**7 + 0 + 0*c + 0*c**5 - 5*c**2 + 0*c**3 + 0*c**6 + 0*c**4. Determine u, given that d(u) = 0.
-1/3, 0
Let g(p) = -4*p + 7. Let c(j) = -7*j + 14. Let i(h) = 3*c(h) - 5*g(h). Let v be i(3). Factor -4*u**2 + 4*u + 2*u**5 - u + 4*u**v - 5*u.
2*u*(u - 1)*(u + 1)**3
Let k = 2 - -2. Suppose 4*t = 3 + 9. What is x in 0*x**2 + x**2 + 0*x - 4*x + 44*x**3 + 42*x**k - t*x**2 = 0?
-1, -1/3, 0, 2/7
Let o(g) = 3*g**2 + 2*g + 3. Let t be o(-3). Let u be (-4)/(-2) + (-42)/t. Let -1/4*x + 0 - x**2 - 3/2*x**3 - x**4 - u*x**5 = 0. Calculate x.
-1, 0
Let n be -1 + -2*20/(-16). Let h(s) be the first derivative of -2 + 1/4*s**3 + n*s - 9/8*s**2. Solve h(u) = 0.
1, 2
Let b = 12621866/11 + -17607447938/15345. Let z = b - -2/279. Solve -2*v + z*v**3 - 6/5*v**2 - 2/5 = 0.
-1/3, 1
Let v(p) be the second derivative of 1/15*p**3 - 2/25*p**5 + 0 + 5*p + 0*p**2 - 1/10*p**4. Factor v(z).
-2*z*(z + 1)*(4*z - 1)/5
Let h(t) = t**3 - 10*t**2 + 8*t + 11. Let s be h(9). Let x(f) be the second derivative of -1/5*f**s - 1/10*f**4 - 1/5*f**3 + 0 - f - 1/50*f**5. Factor x(v).
-2*(v + 1)**3/5
Let g(s) = -3*s**2 - 10*s - 3. Let n be g(-3). Let v(u) be the second derivative of u**2 - 1/6*u**4 + 0*u**3 + n - 2*u. Factor v(b).
-2*(b - 1)*(b + 1)
Let o(s) be the third derivative of -s**5/30 + s**4/6 - s**3/3 - 2*s**2 - 3. Factor o(y).
-2*(y - 1)**2
Let a = -5 - -20. Factor 9*y**2 + a*y**3 + 12*y**4 + 2*y**5 - 3*y**2 + y**5.
3*y**2*(y + 1)**2*(y + 2)
Factor -5 - 1 - 8*a + a**2 - 3*a**2 - 2.
-2*(a + 2)**2
Let d(y) = 3*y**3 - 4*y**2 + 7*y + 6. Let l(i) = -5*i**3 + 7*i**2 - 13*i - 11. Let f(o) = -7*d(o) - 4*l(o). Factor f(q).
-(q - 2)*(q + 1)**2
Let f = -7 - -9. Suppose c + 5 = -2*s + 1, -f*c - 2 = 2*s. Solve -4*p**3 - p**3 + 4*p**3 - p**c + 2*p + 2*p**2 = 0.
-1, 0, 2
Determine f so that -60*f + 36*f + 3*f**2 + 72 - f**2 = 0.
6
Suppose -3*a - 3 + 9 = 0. Let x**3 + x**3 - x**2 + 2 - x**2 - a*x = 0. What is x?
-1, 1
Solve -2*y**2 + 95*y - 35 - 65*y + 7 = 0.
1, 14
Let c(j) = 12*j**3 - 2*j**2 + 4*j - 6. Let s(p) = p**3 - p**2 + p - 1. Let k(h) = -c(h) + 6*s(h). Factor k(o).
-2*o*(o + 1)*(3*o - 1)
Let b(f) = 0*f**2 - 4*f**2 + 2 + 5*f + 4*f**2 + f**2. Let k be b(-5). Determine q so that q**2 + 3*q**k - q**4 - 3*q**2 = 0.
-1, 0, 1
Let a(o) = -2*o**2 - o - 3. Let l(q) = 4*q**2 + q + 5. Let h(x) = -5*a(x) - 3*l(x). Factor h(w).
-2*w*(w - 1)
Suppose 5*o = -45 + 60. Let t(p) be the first derivative of -1/3*p**o + 0*p + 1/4*p**4 - 1/15*p**5 - 1 + 1/6*p**2. Factor t(j).
-j*(j - 1)**3/3
Let g(n) be the second derivative of n**5/20 - 7*n**4/12 + n**3 + 3*n**2/2 - 2*n. Let x be g(6). Factor x*q - 2*q**4 - 3*q.
-2*q**4
Let d = 32/369 + 1/41. Let w(n) be the first derivative of -1/15*n**5 + 0*n + 1/12*n**4 + 3 + d*n**3 - 1/18*n**6 + 0*n**2. What is y in w(y) = 0?
-1, 0, 1
Let c(x) be the third derivative of x**5/60 - x**4/24 - x**3/3 - x**2. Solve c(u) = 0.
-1, 2
Let i(q) be the third derivative of -1/180*q**6 + 1/6*q**3 + 0 + 0*q - q**2 + 1/30*q**5 - 1/12*q**4. Let s(b) be the first derivative of i(b). Factor s(r).
-2*(r - 1)**2
Let o = 5 - 1. Let z(n) be the second derivative of n + 0*n**3 + 0*n**2 + 1/70*n**5 - 1/42*n**o + 0. Factor z(c).
2*c**2*(c - 1)/7
Solve 0 - 2/5*h**2 + 1/5*h + 1/5*h**3 = 0 for h.
0, 1
Let d(u) = -3*u**3 - 7*u**2 - 5*u + 5. Let t(f) = f**3 + 3*f**2 + 2*f - 2. Let k(l) = 2*d(l) + 5*t(l). Suppose k(m) = 0. What is m?
0, 1
Let x(y) be the first derivative of y**6/9 + 4*y**5/15 - y**4/6 - 4*y**3/9 - 46. What is b in x(b) = 0?
-2, -1, 0, 1
What is j in -14/5*j - 4/5 - 2*j**2 = 0?
-1, -2/5
Let r(a) be the first derivative of 0*a - 8/15*a**3 - 4 + 1/15*a**6 + 3/5*a**4 + 1/5*a**2 - 8/25*a**5. Factor r(s).
2*s*(s - 1)**4/5
Let q(k) be the second derivative of 0*k**2 + 0*k**3 - 1/30*k**4 - k - 1/50*k**5 + 0. Let q(r) = 0. Calculate r.
-1, 0
Suppose -4*b - m = -11, 5 = 5*b - 4*b + m. Suppose 3*o + 5 = -v, 2*o = v + b*v - 18. Factor 3/4*x + 3/4*x**5 + 0 + 0*x**v + 0*x**2 - 3/2*x**3.
3*x*(x - 1)**2*(x + 1)**2/4
Suppose 6 = -5*p + 1. Let f = 4 + p. Solve 0*v**f + 0*v + 0 - 2/5*v**4 + 2/5*v**2 = 0.
-1, 0, 1
Let x be (-4)/18 + 60/27. Let p be x/1 - (-12)/(-6). Factor -1/3*q**3 + 0*q**2 + p*q + 4/3*q**4 + 0.
q**3*(4*q - 1)/3
Let f = 1720/13 + -132. Let r = f - -31/26. Suppose -r*y**2 + y + y**3 - 1/4*y**4 - 1/4 = 0. Calculate y.
1
Let z(k) be the third derivative of k**5/300 - k**3/30 + 8*k**2. Factor z(s).
(s - 1)*(s + 1)/5
What is v in -2/15*v**2 + 0 + 0*v = 0?
0
Let p(z) be the third derivative of -1/18*z**5 + 2/9*z**3 + 0*z + 1/12*z**4 + 0 - 4*z**2. Solve p(x) = 0.
-2/5, 1
Suppose 0 = -4*d - 0*d + 12. Factor 5*j**3 - j - 2*j + 2 - 3*j**d - 2*j + j**2.
(j - 1)*(j + 2)*(2*j - 1)
Let c be (-1)/(-4) - 114/(-24). Factor 4*f**2 - 2*f**4 - f**c - 3*f**2 + f + f**2.
-f*(f - 1)*(f + 1)**3
Let u(t) be the third derivative of -14/15*t**5 - 10*t**2 + 0*t + 10/3*t**4 + 1/10*t**6 - 16/3*t**3 + 0. Factor u(y).
4*(y - 2)**2*(3*y - 2)
Let g(b) = -867*b**3 + 1941*b**2 - 417*b + 21. Let c(o) = -1734*o**3 + 3883*o**2 - 833*o + 41. Let u(p) = 3*c(p) - 7*g(p). Solve u(s) = 0.
2/17, 2
Let m = 373 + -257. Let n = m - 808/7. Determine i so that -2/7*i**2 + n*i + 0 = 0.
0, 2
Let v(f) be the third derivative of f**5/210 + f**4/42 + f**2. Determine b, given that v(b) = 0.
-2, 0
Let o(y) = 11*y**3 + 17*y**2 + 6*y - 5. Let i(d) = 17*d**3 + 26*d**2 + 9*d - 8. Let p(w) = -5*i(w) + 8*o(w). Let p(t) = 0. Calculate t.
-1, 0
Let j(r) be the second derivative of 2*r**7/231 + 4*r**6/165 + r**5/44 + r**4/132 - 12*r. Suppose j(f) = 0. Calculate f.
-1, -1/2, 0
Factor -32*h + 28*h**4 + 2*h**3 - 7*h**3 - 84*h**2 + 16 - 3*h**3.
4*(h - 2)*(h + 1)**2*(7*h - 2)
Let p(f) = -f**3 - 21*f**2 + 41*f - 27. Let t(h) = 2*h**3 + 21*h**2 - 40*h + 27. Let d(a) = -5*p(a) - 4*t(a). Factor d(y).
-3*(y - 3)**2*(y - 1)
Let c(l) = 9*l**2 + 5*l - 1. Let y(s) = 26*s**2 + 14*s - 4. Let k(t) = -8*c(t) + 3*y(t). Find a such that k(a) = 0.
-1, 2/3
Let d(v) be the first derivative of -v**6/360 + v**5/60 - v**4/24 + v**3/18 + v**2 + 3. Let j(o) be the second derivative of d(o). Factor j(g).
-(g - 1)**3/3
Suppose -n = 10*n - 2*n. Factor -1/5*w**2 + 0 + w**3 + 3/5*w**5 - 7/5*w**4 + n*w.
w**2*(w - 1)**2*(3*w - 1)/5
Let v(s) be the third derivative of -s**9/420 + s**8/280 + 2*s**7/63 + 2*s**6/45 + s**4/12 + 3*s**2. Let x(h) be the second derivative of v(h). Factor x(f).
-4*f*(f - 2)*(3*f + 2)**2
Let b(l) = 2*l**4 + 3*l**3 - 2*l**2 - l - 2. Let s(z) = -8*z**4 - 13*z**3 + 8*z**2 + 4*z + 9. Let a(r) = 9*b(r) + 2*s(r). Factor a(n).
n*(n - 1)*(n + 1)*(2*n + 1)
Let d(b) be the third derivative of -1/300*b**5 + 0*b + 7*b**2 + 0*b**3 + 0 - 1/60*b**4. Solve d(o) = 0.
-2, 0
Let c(h) = 2*h**2 + 7*h + 9. Let u(d) = -d**2 - 3*d - 4. Let b(r) = -4*c(r) - 9*u(r). Factor b(s).
s*(s - 1)
Factor 3/5*h**3 + 9/5*h + 3/5*h**4 + 0 - 3*h**2.
3*h*(h - 1)**2*(h + 3)/5
Suppose -18 + 0 = -3*x. Let o be 8/x*(-3)/(-2). Factor 1 + 3/2*f + 5/2*f**4 - 3/2*f**3 - 7/2*f**o.
(f - 1)**2*(f + 1)*(5*f + 2)/2
Suppose -2*u = 5*g - 60, 0*g + 4*u = 2*g. Let w = -8 + g. Factor -1/4*b**w - 1/4*b + 1/2.
-(b - 1)*(b + 2)/4
Suppose 0 = 4*r + 25 + 87. Let t be (116/r + 4)*-2. Determine v, given that -2/7*v - 2/7*v**2 + t + 2/7*v**3 = 0.
-1, 1
Let n(d) = 7*d**3 - 15*d**2 + 11*d. Let a(k) = 2*k**3 - 4*k**2 + 3*k. Let y be ((-4)/(-10))/(1/55). Let h(p) = y*a(p) - 6*n(p). Factor h(x).
2*x**2*(x + 1)
Let t(j) = 6*j - 9. Let v be t(2). Fact