f 39*a**5/20 + 5*a**4 + a**3/2 - 9*a**2 - a + 6. Factor x(n).
3*(n + 1)**2*(13*n - 6)
Let o(c) be the second derivative of c**4/66 - 5*c**3/33 - 64*c. Let o(z) = 0. What is z?
0, 5
Let y(u) be the third derivative of 0 - 1/120*u**6 - 1/3*u**3 + u**2 + 1/24*u**4 + 1/30*u**5 + 0*u. Solve y(c) = 0 for c.
-1, 1, 2
Suppose 0*s + 2*p = -2*s + 6, -4*p = 5*s - 17. Factor -w**2 + 4*w - s*w + 2 + 3*w**2 + 5*w.
2*(w + 1)**2
Let x(c) be the third derivative of -c**8/560 - c**7/210 - c**6/270 + 2*c**3/3 + 2*c**2. Let j(g) be the first derivative of x(g). Solve j(f) = 0.
-2/3, 0
Let w(l) be the second derivative of 1/24*l**4 + 0 + 3*l - 1/4*l**2 + 0*l**3. Determine k so that w(k) = 0.
-1, 1
Let b be (1/3)/((-4)/(-24)). Determine v, given that -1/3*v**3 - 2/3 + 1/3*v - 1/3*v**4 + v**b = 0.
-2, -1, 1
Let t(j) be the second derivative of 1/720*j**6 + 1/6*j**3 + 0*j**4 + 0*j**2 - 3*j + 0*j**5 + 0. Let d(s) be the second derivative of t(s). Factor d(m).
m**2/2
Let x(n) be the second derivative of n**5/15 + 11*n**4/12 + 4*n**3 + 8*n**2/3 - 26*n. Let x(m) = 0. Calculate m.
-4, -1/4
Let g(u) be the first derivative of -u**6/36 - u**5/10 - u**4/8 - u**3/18 + 23. Factor g(q).
-q**2*(q + 1)**3/6
Let x = 1 + -1. Let q(d) be the third derivative of 0*d**4 + 1/30*d**6 - 1/30*d**5 - 1/105*d**7 + 0*d**3 + x*d - 2*d**2 + 0. Determine m, given that q(m) = 0.
0, 1
Suppose -6 = 3*y - 3*o, 3*o + 10 = 5*y + 2*o. Suppose 5*q = -y + 28. Factor q*d**2 - 7 - 4*d**2 + 6.
(d - 1)*(d + 1)
Let r(a) be the third derivative of -a**6/180 - a**5/30 - a**4/12 + a**3/6 + 2*a**2. Let d(t) be the first derivative of r(t). Factor d(n).
-2*(n + 1)**2
Let s(p) be the first derivative of 2/3*p**2 - 1/9*p**3 - 4/3*p + 3. Factor s(t).
-(t - 2)**2/3
Let v(h) be the first derivative of -h**4/2 + 4*h**3/3 + 5. Determine s so that v(s) = 0.
0, 2
Suppose 2*s - 8 = 0, -f + 4*s = f + 10. Find y, given that 4/5*y**2 + 0 + 2/5*y - 6/5*y**f = 0.
-1/3, 0, 1
Let s(z) be the second derivative of -9*z**5/80 - z**4/3 + 31*z**3/24 - 3*z**2/4 - 4*z. Factor s(j).
-(j - 1)*(j + 3)*(9*j - 2)/4
Let g(f) be the second derivative of -f**6/600 - f**5/75 - f**4/24 - f**3/15 + 5*f**2/2 - 5*f. Let q(h) be the first derivative of g(h). Factor q(z).
-(z + 1)**2*(z + 2)/5
Let o be 57/21 + 4/14. Let i(n) be the first derivative of 1/14*n**4 - 4/21*n**o + 0*n + 1/7*n**2 - 1. Factor i(m).
2*m*(m - 1)**2/7
Let v be 8/2 + (6 - 5). Suppose -z - 3 = -v. Solve -u**3 - 2 - 2*u - 4*u**z - 3*u + 0*u**3 = 0 for u.
-2, -1
Let m(d) be the first derivative of 3 + 0*d + d**4 + 2/5*d**5 + 2/3*d**3 + 0*d**2. Suppose m(h) = 0. Calculate h.
-1, 0
Let u = 67 + -1271/19. Let m = u - -13/57. Factor 1/3*q**3 + 0*q**2 - m*q + 0.
q*(q - 1)*(q + 1)/3
Let s = -98 - -139. Determine d so that -4*d**3 + 12*d**4 - 12*d**2 - 20*d**5 + s*d**5 - 25*d**5 + 8*d = 0.
-1, 0, 1, 2
Let x(c) be the third derivative of c**8/3360 - c**7/3360 - c**6/1440 - 7*c**3/6 - c**2. Let l(v) be the first derivative of x(v). Find i such that l(i) = 0.
-1/2, 0, 1
Solve 3/7*w**2 + 3/7 + 6/7*w = 0 for w.
-1
Let o = -191 + 957/5. Determine x so that -2/5*x**2 + 0 - 2/5*x + 2/5*x**4 + o*x**3 = 0.
-1, 0, 1
Let w(r) be the second derivative of -5/36*r**4 - 1/90*r**6 + 0 + 0*r**2 + 1/9*r**3 - 2*r + 1/15*r**5. Let w(p) = 0. What is p?
0, 1, 2
What is y in -4*y**3 + y**3 - 92*y**2 + 89*y**2 = 0?
-1, 0
Let v = 264 - 261. Factor -3/2 + 3/4*c**v - 9/4*c + 0*c**2.
3*(c - 2)*(c + 1)**2/4
Let p(o) be the second derivative of -o**5/80 + o**4/12 + 34*o. Factor p(k).
-k**2*(k - 4)/4
Factor 14*t**3 + 4*t**2 - 9*t**3 - 4*t - 6*t**3.
-t*(t - 2)**2
Let v(y) be the second derivative of y**6/165 + y**5/22 + y**4/11 - 4*y**3/33 - 8*y**2/11 + 18*y. Suppose v(g) = 0. What is g?
-2, 1
Let b(k) be the second derivative of -k**5/100 + k**4/60 + 11*k. Suppose b(p) = 0. What is p?
0, 1
Let c(u) = 5*u + 2. Let w(y) = -y**2. Let d(k) = -c(k) + w(k). Let n be d(-4). Factor o**3 + 0*o**4 - 2*o**n + o**2 + o**4 - o.
o*(o - 1)*(o + 1)**2
Let p(b) be the first derivative of -b**6/3 - 4*b**5/45 + b**4/2 + 4*b**3/27 - 5. Solve p(t) = 0 for t.
-1, -2/9, 0, 1
Factor -5 - 10 + 9*f**2 - 10 + 19 - 3*f.
3*(f - 1)*(3*f + 2)
Suppose 0 = -r + 5*o + 24, r + 4*o = 3*r - 24. Suppose -r*v = -7 - 5. What is y in v*y**2 - y - 2*y**2 - y**3 + y**3 + 2*y**3 = 0?
-1, 0, 1/2
Let o = 32 + -32. Let z(i) be the third derivative of 1/54*i**4 + 0 + 1/540*i**6 + o*i - i**2 - 1/90*i**5 + 0*i**3. Factor z(l).
2*l*(l - 2)*(l - 1)/9
Let h(b) be the third derivative of 0*b**3 + 1/75*b**5 + 0 + 1/60*b**4 + 0*b + 1/300*b**6 + 2*b**2. Let h(g) = 0. What is g?
-1, 0
Let z(a) be the second derivative of -a**6/105 - 2*a**5/35 - 2*a**4/21 + a. Factor z(b).
-2*b**2*(b + 2)**2/7
Suppose 5*b = 3*b + 2*v - 4, 5*b + 2*v = -3. Let u be b/(-4)*(1 + -1). Determine c so that c - 3/2*c**2 + u + 0*c**3 + 1/2*c**4 = 0.
-2, 0, 1
Suppose 6*v = 3*v. Suppose v = -2*g + g + 4*x - 10, 2*g + 11 = 5*x. Suppose 3*r**4 - r + 4*r**3 - g - r**4 - 3*r = 0. Calculate r.
-1, 1
Let q be (28/9)/((-1)/(-6)). Let u be 1/6*(3 + -4 + 9). Factor -u - q*k**2 + 10*k.
-2*(4*k - 1)*(7*k - 2)/3
Let -2/3 - 2/3*x**5 - 2/3*x**4 + 4/3*x**2 - 2/3*x + 4/3*x**3 = 0. What is x?
-1, 1
Suppose 2*v + 2 - 39 = 3*i, -3*v - 4*i = -13. Factor 4*d**2 + 21*d**4 - 6*d**5 - v*d**3 - 5*d**4 - 3*d**3.
-2*d**2*(d - 1)**2*(3*d - 2)
Let i(a) = -35*a**2 + 31*a + 4. Let p(b) = b - 1. Let l(k) = i(k) - 6*p(k). Factor l(j).
-5*(j - 1)*(7*j + 2)
Suppose -10 = -6*y + y. Suppose v - 6 = -i + 4*i, i = y*v - 7. Solve -16/7*j**2 + 0*j + 0 - 8/7*j**v - 6/7*j**5 + 20/7*j**4 = 0.
-2/3, 0, 2
Let h(u) = -3*u**5 + 3*u**4 + 7*u**3 - u**2 - 4*u - 2. Let f(a) = a**4 + a**3 - a - 1. Let p(v) = 2*f(v) - h(v). Factor p(b).
b*(b - 1)**2*(b + 1)*(3*b + 2)
Let c(p) = -p**3 + 20*p**2 - 49*p - 32. Let u be c(17). Factor -1/4*g**3 - g**u + 0 - g.
-g*(g + 2)**2/4
Let u(y) = 8*y**2 + 8*y + 9. Let x(s) = -2*s**2 - 2*s - 2. Let m(t) = -2*u(t) - 9*x(t). Factor m(l).
2*l*(l + 1)
Factor -50/11*g**4 - 56/11*g - 8/11 - 140/11*g**3 - 138/11*g**2.
-2*(g + 1)**2*(5*g + 2)**2/11
Let m(g) be the second derivative of -g**6/360 - g**5/180 + g**4/72 + g**3/18 + 2*g**2 + g. Let h(t) be the first derivative of m(t). Factor h(j).
-(j - 1)*(j + 1)**2/3
Factor 169 - 169 - 3*b**2.
-3*b**2
Let u(x) = 30*x**2 - 5*x + 7. Let z(i) = -20*i**2 + 3*i - 5. Let m be 1 - (-3)/(-2)*4. Let q(a) = m*u(a) - 7*z(a). Let q(v) = 0. Calculate v.
0, 2/5
Factor -4/9*p**3 + 0*p**2 + 0 + 16/9*p.
-4*p*(p - 2)*(p + 2)/9
Suppose -5*n = -5 - 10. Let d be (4 + -1)*14/n. Let -2*c**2 + d*c**5 + 0*c + 30*c**3 - 20*c**4 - 4*c - 18*c**4 = 0. What is c?
-2/7, 0, 1
Suppose 2*x**3 - x**4 - 62 - 3*x**5 + 2*x**5 + 62 = 0. Calculate x.
-2, 0, 1
Let m(c) = c**3 + 4*c**2 - 2. Let x(r) = -r + 3. Let t be x(5). Let w(b) = 3*b**2 - 3. Let p(n) = t*w(n) + 3*m(n). Factor p(s).
3*s**2*(s + 2)
Let g(f) = -f + 41. Let i be g(39). Let 0 + 4/3*w**i + 4/3*w = 0. Calculate w.
-1, 0
Let w = 31 - 27. Suppose -4*b + y = -y - 12, w*y = -5*b + 41. Factor 2/9*g + 4/9*g**2 + 2/9*g**b - 2/9 - 2/9*g**4 - 4/9*g**3.
2*(g - 1)**3*(g + 1)**2/9
Let q = 1/76 + 1/285. Let r(w) be the third derivative of -q*w**5 + 0 - w**2 + 0*w + 0*w**3 + 1/24*w**4. Suppose r(f) = 0. What is f?
0, 1
Let t(v) be the first derivative of v**8/420 - v**6/30 - v**5/15 + 5*v**3/3 - 3. Let a(s) be the third derivative of t(s). Solve a(n) = 0.
-1, 0, 2
Let f(j) be the second derivative of -j**4/12 - j**3 - 9*j**2/2 - 2*j. Suppose f(l) = 0. What is l?
-3
Suppose -f + 2*f = 3. Let h(a) = 2*a + 7*a + 24*a**2 + a**3 + 26*a**3 + 6*a**f. Let s(t) = t**3 - t**2 + t. Let x(r) = h(r) - 3*s(r). Factor x(n).
3*n*(2*n + 1)*(5*n + 2)
Let l(c) be the third derivative of c**8/504 - 2*c**7/315 + c**5/45 - c**4/36 - 6*c**2. Determine p so that l(p) = 0.
-1, 0, 1
Let m(u) be the third derivative of -u**6/600 + u**5/60 - u**4/15 + 2*u**3/15 + 15*u**2. Factor m(r).
-(r - 2)**2*(r - 1)/5
Let h(r) = 3*r**5 + 3*r**4 - 6*r**3 + 6*r**2. Suppose -4 = 5*m - 9. Let u(p) = -p**4 + p**3 - p**2. Let g(i) = m*h(i) + 6*u(i). Factor g(d).
3*d**4*(d - 1)
Let l = 92 - 89. Let y(i) be the first derivative of 2*i**3 + 1/2*i**4 + 3*i**2 - l + 2*i. Factor y(m).
2*(m + 1)**3
Let g be (-6)/18 + 19/3. Let c(d) be the second derivative of 0 + 1/90*d**g - d + 1/12*d**4 + 0*d**2 - 1/20*d**5 - 1/18*d**3. S