 be (13/k + 4)/(10/(-4)). Factor -t*r + 0 + 2/15*r**2.
2*r*(r - 1)/15
Factor -39*r - 7*r - 8*r + 3*r**2 - 386 + 41.
3*(r - 23)*(r + 5)
Let n(v) = v + 6 - 2 + 2*v**4 + 0*v**4 - 5. Let r(u) = -11*u**4 - u**3 + 9*u**2 - 16*u + 9. Let f(d) = -10*n(d) - 2*r(d). Factor f(k).
2*(k - 1)**3*(k + 4)
Let v(z) be the third derivative of -22*z**2 - 23/60*z**6 + 11/105*z**7 + 2/3*z**3 + 0*z - 1/84*z**8 - 11/12*z**4 + 0 + 23/30*z**5. Let v(q) = 0. Calculate q.
1/2, 1, 2
Let x = -25 - -27. Factor -10*s + 2*s**2 - 10 + 2*s**x + 15*s + s**2.
5*(s - 1)*(s + 2)
Let o = -12 - -14. Suppose o*i + 6 = 4*i. Factor b - 2*b - b**3 - 3*b - 6*b**2 - b**i.
-2*b*(b + 1)*(b + 2)
Let i(r) be the second derivative of 2/5*r**2 + 24*r + 0 + 1/30*r**4 + 1/5*r**3. Factor i(g).
2*(g + 1)*(g + 2)/5
Let u(r) be the third derivative of -16*r**8/7 - 256*r**7/7 - 156*r**6 - 324*r**5 - 3105*r**4/8 - 567*r**3/2 - 210*r**2 - 2. Factor u(z).
-3*(z + 7)*(4*z + 3)**4
Let k = 125/144 + -77/144. Solve k*x**3 - 2/3 - x**2 - 5/3*x + 1/3*x**4 = 0 for x.
-1, 2
Let r(v) be the third derivative of v**2 + 0 - 4/2205*v**7 - 2/315*v**5 - 1/252*v**4 + 0*v**3 - 1/210*v**6 - 1/3528*v**8 + 0*v. Suppose r(x) = 0. Calculate x.
-1, 0
Let g(t) = 3*t**2 + 2*t. Let q(f) = -4*f**2 - 3*f. Let i(r) = -17*r**2 - 13*r. Let z(p) = -2*i(p) + 9*q(p). Let k(v) = 6*g(v) + 10*z(v). Factor k(w).
-2*w*(w - 1)
Let o(t) be the second derivative of t**8/5040 - t**6/360 - t**5/180 + t**3 - 21*t. Let w(a) be the second derivative of o(a). Factor w(k).
k*(k - 2)*(k + 1)**2/3
Let m(h) be the second derivative of 16*h**7/399 + 8*h**6/285 - 3*h**5/38 - 4*h**4/57 - h**3/57 + h + 37. Solve m(i) = 0.
-1, -1/4, 0, 1
Suppose -37 = -4*a - 0*a + 3*m, 5*a - 4*m = 46. Factor 22*h**4 - 252*h**3 - 6*h - 2*h**4 + 31*h - 10*h**2 - a + 232*h**3 - 5*h**5.
-5*(h - 2)*(h - 1)**3*(h + 1)
Suppose -5*x + 12 = -3. Suppose -4*w + x + 5 = 0. Factor 4 - c**2 - 2 - 2*c + w - 5.
-(c + 1)**2
Let y be ((-2 + 2)/(-1))/3. Let x(c) be the first derivative of 1/18*c**4 + 2/45*c**5 + 0*c**3 + y*c**2 + 0*c - 2. Factor x(r).
2*r**3*(r + 1)/9
Suppose 65*x - 113 = -32*x + 81. Suppose -32/17 + 0*i**x + 2/17*i**3 - 24/17*i = 0. Calculate i.
-2, 4
Find i, given that 3*i**5 - 9*i + 20*i**2 + 80506*i**3 + 4*i**2 - 80524*i**3 = 0.
-3, 0, 1
Let x(v) be the second derivative of 2/3*v**6 + 10*v**4 - 17/4*v**5 - 65/6*v**3 - 2*v + 5*v**2 + 0. Factor x(o).
5*(o - 2)*(o - 1)**2*(4*o - 1)
Let x(u) = -13*u**2 + 153*u - 227. Let k be x(10). Find r, given that 72/7*r + 60/7*r**2 + 6/7*r**k - 432/7 = 0.
-6, 2
Factor 48*q - 11*q**4 - 5*q**3 - 86*q**2 + q**3 + 7*q**4 + 0*q**3 + 118*q**2.
-4*q*(q - 3)*(q + 2)**2
Let t(v) be the first derivative of -v**6/36 + v**5/5 - 11*v**4/24 + v**3/9 + v**2 - 4*v/3 + 28. Solve t(h) = 0 for h.
-1, 1, 2
Factor 10 + 30*v - 356*v**2 + 354*v**2 - 38.
-2*(v - 14)*(v - 1)
Let y(d) be the second derivative of -d**7/630 + d**6/48 - 3*d**5/40 - d**4 - d. Let j(z) be the third derivative of y(z). Factor j(t).
-(t - 3)*(4*t - 3)
Let t = -104 + 92. Let u be 1 + (t/3 - -5). What is c in -3/4*c**3 + 0*c + 0 + 3/4*c**u = 0?
0, 1
Let m = 1258/33 - 412/11. Factor -4/9*r + 2/9*r**5 - m*r**3 + 0 + 10/9*r**2 - 2/9*r**4.
2*r*(r - 1)**3*(r + 2)/9
Let o = 28 - 39. Let f(w) = -w**2 - 12*w - 9. Let y be f(o). Let -3/4*g + 0*g**y + 1/4*g**3 - 1/2 = 0. What is g?
-1, 2
Let r be 127/25 + ((-306)/75 - -4). Let z(g) be the second derivative of 2/3*g**3 + 6*g + 0*g**2 + 1/6*g**4 - 1/10*g**r + 0. Factor z(i).
-2*i*(i - 2)*(i + 1)
Let r(a) be the second derivative of a**5/12 - 5*a**4/8 - 10*a**3/3 + 31*a**2/2 - 41*a. Let k(x) be the first derivative of r(x). Let k(t) = 0. Calculate t.
-1, 4
Let x(z) be the third derivative of 1/120*z**6 + 1 + 0*z**3 + 2*z**2 + 0*z**4 + 0*z - 1/30*z**5. Find m, given that x(m) = 0.
0, 2
Let t(m) = 10*m**3 + 6*m**2 - 6. Suppose -7 = -5*k - 2, 4*u + 21 = -3*k. Let j(l) = 29*l**3 + 19*l**2 - 17. Let o(a) = u*j(a) + 17*t(a). Factor o(b).
-4*b**2*(b + 3)
Let l(n) be the second derivative of n**7/42 - n**6/8 + n**5/6 - 15*n**2 - 8*n. Let h(x) be the first derivative of l(x). Solve h(o) = 0.
0, 1, 2
Let g(d) = 3*d**3 - 14*d**2 + 4*d - 39. Let o be g(5). Suppose 0*a - 3*a = -21. Factor -2*l - 2*l**2 - l + a*l**2 + 3*l**3 - o + l**2.
3*(l - 1)*(l + 1)*(l + 2)
Let r be 7/462*397 - 6. Let z(t) be the second derivative of 0*t**2 + 0 - r*t**4 + 8*t + 2/33*t**3. Determine n so that z(n) = 0.
0, 2
Let v be ((-576)/(-90))/(-16) - (-24)/10. Factor -10/7*f**4 - v*f**2 + 4/7*f + 18/7*f**3 + 0 + 2/7*f**5.
2*f*(f - 2)*(f - 1)**3/7
Let x be 14/63*-3*23*-9. Let u = x + -413/3. Find z, given that 1/3*z - z**4 - u*z**2 + 0 - 5/3*z**3 = 0.
-1, 0, 1/3
Let p(m) be the third derivative of 0*m**3 + 1/168*m**4 + 0 - 1/210*m**5 - 3*m**2 + 0*m + 1/840*m**6. Factor p(q).
q*(q - 1)**2/7
Let d(c) be the first derivative of 4*c**4 - 4*c**3 + 3*c**2/2 + 54*c + 5. Let f(o) be the first derivative of d(o). Suppose f(l) = 0. What is l?
1/4
Let m(p) = 31*p - 35*p + 2*p**2 - 3 + 0*p**2. Let o be m(3). Find w such that 6/7*w**o + 2/7*w + 2/7*w**4 + 6/7*w**2 + 0 = 0.
-1, 0
Let z(a) = -5*a**2 + 3*a - 4. Let n(x) = x**2 - x + 1. Suppose -4*w = -t + 8, -3*t = w - 8 - 3. Let u(o) = w*z(o) - 6*n(o). Factor u(g).
-(g - 2)*(g - 1)
Suppose -3*z + 22 - 22 = 0. Let x(s) be the third derivative of -2/15*s**6 + 1/12*s**4 + 0*s - 3/70*s**7 - 1/12*s**5 - s**2 + 0*s**3 + z. Factor x(g).
-g*(g + 1)**2*(9*g - 2)
Factor -18/5*m + 18/5*m**3 - 1/5*m**2 + 1/5*m**4 + 0.
m*(m - 1)*(m + 1)*(m + 18)/5
Let r(k) = -k**2 - 2*k + 3. Let c be r(0). Let i(q) be the second derivative of 1/6*q**3 - c*q + 0 - 1/2*q**2 - 1/48*q**4. Let i(l) = 0. What is l?
2
Let r be (-3)/13 - 372/(-1612). Let k(w) be the third derivative of -1/18*w**3 + 0*w - 1/60*w**5 - 1/24*w**4 + r - 1/360*w**6 + 9*w**2. Factor k(n).
-(n + 1)**3/3
Suppose -2*b - 8 = -d, 117*b - 6 = d + 122*b. Factor 7*c**3 + 0*c + 0 - 49/2*c**2 - 1/2*c**d.
-c**2*(c - 7)**2/2
Suppose 0 = 7*s + 9 - 23. Find i such that i - 29*i**2 + 15*i**s + 13*i**2 = 0.
0, 1
Determine n, given that 2/5 + 7/5*n**2 + 3*n = 0.
-2, -1/7
Suppose 2*z - 4*u = 40 - 28, -2*z - 4*u - 4 = 0. Solve -18/11*o + 14/11*o**z + 4/11 = 0.
2/7, 1
Let n = -27179/45 + 604. Let j = n - -29/45. Factor -4/3*a**3 + j*a**4 - 2/3*a**2 + 4/3*a + 0.
2*a*(a - 2)*(a - 1)*(a + 1)/3
Let t(s) be the third derivative of 0*s + 1/3*s**4 + 3/5*s**5 + 0 + 0*s**3 + 8*s**2. Suppose t(d) = 0. Calculate d.
-2/9, 0
Suppose -4*v = -3*n - 4, 0 = -n + 179*v - 180*v + 8. Determine b so that 0 - 14/19*b**n + 2/19*b**5 + 16/19*b + 36/19*b**3 - 40/19*b**2 = 0.
0, 1, 2
Factor -6144/13*a - 2/13*a**3 + 192/13*a**2 + 65536/13.
-2*(a - 32)**3/13
Let l(g) be the first derivative of -g**6/18 + 2*g**5/5 - 3*g**4/4 + 4*g**3/9 + 47. Factor l(z).
-z**2*(z - 4)*(z - 1)**2/3
Let g(i) = i**3 + 5*i**2 - i - 2. Let l be g(-5). Let -2*y**3 - 7*y**l + 2*y**2 + 3*y**4 + 6*y**3 - 8*y**2 = 0. What is y?
-1, 0, 2
Let p(z) = -8*z**4 + 11*z**3 - 10*z**2 + z - 3. Let j(q) = -15*q**4 + 22*q**3 - 19*q**2 + 2*q - 5. Let o(n) = 3*j(n) - 5*p(n). Factor o(x).
-x*(x - 1)**2*(5*x - 1)
What is s in 3920 - 112*s + 4/5*s**2 = 0?
70
Let g(t) be the first derivative of -t**5/60 + 11*t**4/48 - 13*t**3/18 + 2*t**2/3 - 17. Let g(c) = 0. What is c?
0, 1, 2, 8
Determine d so that -3/2*d**3 + 8/3*d**2 + 8/3 + 38/3*d = 0.
-2, -2/9, 4
Let z = -2/143 - -292/429. Factor 0*q - 2/3*q**4 + 0 + z*q**3 + 4/3*q**2.
-2*q**2*(q - 2)*(q + 1)/3
Suppose -27*g - 4 = -4. Let z(d) be the third derivative of -10*d**2 - 1/30*d**6 + 0*d + 0 + g*d**4 + 1/15*d**5 + 0*d**3. Find q such that z(q) = 0.
0, 1
Let o = -1055 + 7387/7. Factor o*y**2 - 4/7*y + 0.
2*y*(y - 2)/7
Let r = 1/170 - -331/1530. Determine l, given that -r*l**2 - 2/9 - 4/9*l = 0.
-1
Let b(f) be the second derivative of f**7/42 + f**6/5 + 2*f**5/5 - f**4/2 - 3*f**3/2 - 99*f. Solve b(y) = 0.
-3, -1, 0, 1
Let z(o) be the first derivative of -5*o**6/36 - 19*o**5/24 - 8*o**4/9 - o**3/3 - 19*o + 3. Let k(q) be the first derivative of z(q). Let k(j) = 0. Calculate j.
-3, -2/5, 0
Let n(j) = j**2 - 7*j - 6. Let v be n(8). Factor -7*q**v + 10 - 8*q**2 - 2*q + 5*q**3 + 5*q**2 - 3*q.
5*(q - 2)*(q - 1)*(q + 1)
Let l(q) be the first derivative of q**6/30 - 3*q**5/25 + q**4/10 - 40. Factor l(p).
p**3*(p - 2)*(p - 1)/5
Let h(z) be the first derivative of 4*z -