w = -129 - -137. Let m be ((-12)/w)/(-1 - (-1)/4). Factor -1/3*b**5 + 1/3*b**3 + 0*b + 1/3*b**m - 1/3*b**4 + 0.
-b**2*(b - 1)*(b + 1)**2/3
Let y(j) be the second derivative of -j**5/30 + j**4/2 - 8*j**3/9 - 6*j - 2. Determine r so that y(r) = 0.
0, 1, 8
Suppose 5*t = 4591 - 4591. Factor 0*k + 4/11*k**3 - 2/11*k**2 - 2/11*k**4 + t.
-2*k**2*(k - 1)**2/11
Let g be ((-1700)/80)/(-17) - (1 + 0). Factor 0*i + 1/4 - g*i**2.
-(i - 1)*(i + 1)/4
Suppose 0 = 4*n - 4*f - 32, -7*f - 24 = -n - 2*f. Let t be (-4)/3 - (-60)/18. Factor b - 3 + b - n*b + b**t.
(b - 3)*(b + 1)
Let i(d) = -d**3 - 3*d**2 - 2*d + 3. Let w be i(-3). Factor 7*o**2 - o**2 + 3*o + 2*o + w*o**2.
5*o*(3*o + 1)
Factor 0 - 4/5*c + 26/5*c**3 + 22/5*c**2.
2*c*(c + 1)*(13*c - 2)/5
Let t(v) = v**5 - v**4. Let x(y) = 8*y**5 + 2*y**4 - 40*y**3 - 40*y**2 + 80*y + 80. Let n(u) = 3*t(u) - x(u). Solve n(p) = 0.
-2, -1, 2
Let v(r) be the first derivative of -3*r**2 - 2/3*r**3 + 9 - 4*r. Determine k, given that v(k) = 0.
-2, -1
Determine g so that 8/11*g**2 + 2/11*g**5 - 4/11*g**4 + 8/11*g + 0 - 6/11*g**3 = 0.
-1, 0, 2
Let l be -2*(15/10 - 3). Determine r so that l*r**3 - 11*r**2 - 2*r + 6*r**2 - 8*r + 2*r**3 = 0.
-1, 0, 2
Let x(d) = -d**4 - 1. Suppose 4*n - 20 = 4*c, -3*n + c + 13 = -0*c. Let z(y) = -35*y**4 + 6*y**3 + 0*y**3 + 6 + 38*y**n. Let h(f) = 6*x(f) + z(f). Factor h(u).
-3*u**3*(u - 2)
Find w such that -8*w - 11 + 11 + 16*w**2 + 1 = 0.
1/4
Factor 93 + 75 + 324*p + 168*p - 21*p**2 - 6 + 69*p.
-3*(p - 27)*(7*p + 2)
Let i(f) = 6*f**3 + f**2 - 14*f + 6. Let a(b) = b**3 - b + 3. Let z(g) = 15*a(g) - 3*i(g). Solve z(n) = 0 for n.
-3, -1, 3
Factor 5*x**2 - 84*x - 11 + 53 + 113 - 10*x - 66*x.
5*(x - 31)*(x - 1)
Let h(v) be the first derivative of 3/8*v**4 - 1/3*v**3 + 0*v - 1/10*v**5 + 0*v**2 + 19. Factor h(u).
-u**2*(u - 2)*(u - 1)/2
Let u(k) be the first derivative of k**7/140 + k**6/40 - k**4/8 - k**3/4 - 12*k**2 + 13. Let g(n) be the second derivative of u(n). Factor g(w).
3*(w - 1)*(w + 1)**3/2
Let h(x) be the third derivative of 11*x**6/540 - 19*x**5/270 + 5*x**4/108 + x**3/9 - 2*x**2 + 4*x. Let h(n) = 0. What is n?
-3/11, 1
Let x(h) be the third derivative of 0*h + 0 + 5/96*h**4 + 1/240*h**5 - 1/480*h**6 + 1/8*h**3 + 8*h**2. Suppose x(a) = 0. Calculate a.
-1, 3
Let r(x) = 16*x**4 - 6*x**3 + 4*x**2 - 8*x. Let s(q) = 32*q**4 - 12*q**3 + 9*q**2 - 18*q. Let d(m) = 9*r(m) - 4*s(m). Find i such that d(i) = 0.
0, 3/8
Determine w, given that -55*w + 2*w**3 - 5 + 47*w + 4*w**2 - 11 = 0.
-2, 2
Determine a, given that 37 - 30*a - 27*a - 45 + 17*a - 30*a**2 + 8*a**4 + 10*a**3 = 0.
-2, -1, -1/4, 2
Factor 34*a + 1/2*a**2 + 67/2.
(a + 1)*(a + 67)/2
Let r(p) be the third derivative of p**7/168 + p**6/72 - 5*p**5/12 + 5*p**4/3 - 2*p**3/3 - 9*p**2. Let o(x) be the first derivative of r(x). Factor o(h).
5*(h - 2)*(h - 1)*(h + 4)
Let m(y) be the second derivative of 2*y**4 + 82*y**3/3 - 14*y**2 - 83*y. Solve m(g) = 0 for g.
-7, 1/6
Let a(y) be the second derivative of -y**7/84 - y**6/30 + y**4/12 + y**3/12 - 2*y - 38. Find w such that a(w) = 0.
-1, 0, 1
Let h(w) = w**2 - 2*w - 10. Let p be h(6). Suppose 4*a = 2*n + 26, -a + 0*n = -2*n - p. Suppose -15*y - 34*y**2 - a - 6 + 29*y**2 = 0. What is y?
-2, -1
Let p = -41266/11 + 3752. Factor -18/11*q + 18/11*q**2 - 6/11*q**3 + p.
-6*(q - 1)**3/11
Let y be (12 - 3945/360)/((-2)/1128*-3). Determine r so that -150*r**4 + 190*r**3 + 140/3*r + y*r**2 + 10/3 = 0.
-2/5, -1/6, 2
Let k(c) be the second derivative of -c**9/30240 + c**8/6720 - c**7/5040 + 4*c**4/3 + 10*c. Let z(r) be the third derivative of k(r). Factor z(t).
-t**2*(t - 1)**2/2
Let s(j) = -9*j**2 + 22*j - 19. Let u(m) = -5*m**2 + 12*m - 10. Let a(q) = -6*s(q) + 11*u(q). Factor a(z).
-(z - 2)*(z + 2)
Suppose 0 = -p + 20 - 73. Let n = 57 + p. Solve 4/5*k**5 + 11/5*k**2 + 0 - 12/5*k**3 - 1/5*k**n - 2/5*k = 0.
-2, 0, 1/4, 1
Factor -56/11*a - 16/11 + 68/11*a**2 - 18/11*a**3.
-2*(a - 2)**2*(9*a + 2)/11
Suppose 48*l**3 - 386*l - 4*l**5 + 322*l + 8*l**2 - 24*l**2 - 4*l**4 = 0. Calculate l.
-4, -1, 0, 2
Let r(z) be the second derivative of -z**6/1260 + 2*z**5/105 - 4*z**4/21 - 14*z**3/3 + 21*z. Let n(o) be the second derivative of r(o). Factor n(b).
-2*(b - 4)**2/7
Suppose 38 = -7*t + 3. Let l be ((-545)/(-105) + t)/((-4)/(-6)). Factor -1/7*i**2 - l + 3/7*i.
-(i - 2)*(i - 1)/7
Let y(c) = 4*c**2 - 8*c + 17. Suppose -4*b = -12, -n - 27 = -3*n - 5*b. Let v(j) = -j**2 + 2*j - 4. Let d(x) = n*y(x) + 26*v(x). Find q such that d(q) = 0.
1
Solve 22*q**2 + 7/5*q**3 + 416/5*q - 128/5 = 0.
-8, 2/7
What is u in 177957 + 2897*u**2 - 2*u**3 - 13689*u - u**3 - 2546*u**2 + 0*u**3 = 0?
39
Let v be (1 - 0) + -3 + 5. Suppose v*z = -2*z + 30. Determine k so that 2*k**3 + 2*k + 2*k + z*k**2 + 0*k**3 + 0*k**3 = 0.
-2, -1, 0
Let j(w) be the first derivative of -5*w**3/3 + 255*w**2 - 13005*w - 134. Factor j(r).
-5*(r - 51)**2
Let 6/7*v**2 - 80/7*v + 0 + 2/7*v**3 = 0. Calculate v.
-8, 0, 5
Let r(p) be the second derivative of 0 - 1/20*p**5 + 1/4*p**4 + 0*p**2 - 1/3*p**3 - 11*p. Find f such that r(f) = 0.
0, 1, 2
Let p(z) be the first derivative of z**6/57 - 78*z**5/95 + 199*z**4/19 - 644*z**3/57 - 21*z**2 + 38*z - 41. What is r in p(r) = 0?
-1, 1, 19
Let u = -11/837 + 973/66960. Let g(h) be the third derivative of 12*h**2 + 1/9*h**3 - u*h**6 + 0 + 0*h**4 + 0*h - 1/120*h**5. Find p such that g(p) = 0.
-2, 1
Let p(o) be the second derivative of -37*o + 5/4*o**5 + 0 - 1/6*o**6 - 5/4*o**4 + 10*o**2 - 25/6*o**3. Suppose p(x) = 0. What is x?
-1, 1, 4
Let y(d) be the third derivative of -5*d**8/336 - d**7/21 + d**6/3 - d**5/6 - 35*d**4/24 + 10*d**3/3 + 235*d**2 - 2. Factor y(l).
-5*(l - 1)**3*(l + 1)*(l + 4)
Solve -91*s**3 + 3*s**4 - 82*s**3 - 12*s**2 + 182*s**3 = 0 for s.
-4, 0, 1
Let f(i) be the first derivative of -2*i**4/7 - 16*i**3/21 + 11*i**2/7 - 6*i/7 + 8. Solve f(o) = 0 for o.
-3, 1/2
Let j = 2839/3 + -946. Factor d**2 + j + d + 1/3*d**3.
(d + 1)**3/3
Let 8*j**2 - j**4 - 12*j**3 + 8*j**2 - 12*j**2 + 16*j - 4*j**3 - 3*j**4 = 0. Calculate j.
-4, -1, 0, 1
Let 244*g**2 - 96*g**3 + 40 - 204*g**2 - 80*g**4 + 108*g - 18*g**5 + 6*g**5 = 0. What is g?
-5, -1, -2/3, 1
Let h = 37083/4 + -9270. Suppose -9*n - h*n**2 - 27 = 0. What is n?
-6
Let n(m) be the third derivative of m**8/10080 - m**7/2835 + m**6/3240 - 7*m**4/24 + 3*m**2. Let r(i) be the second derivative of n(i). Factor r(c).
2*c*(c - 1)*(3*c - 1)/9
Let x = -34259/60 + 571. Let y(t) be the third derivative of 0 + 0*t + 2/15*t**3 + 1/300*t**6 - 1/75*t**5 - x*t**4 - t**2. Suppose y(o) = 0. What is o?
-1, 1, 2
Suppose p = 5*n + 24, -4*p + 3*n + 22 = -6. Factor h**4 - 9*h**p + 4*h**4 + 4*h**3 + 0*h**4.
-4*h**3*(h - 1)
Let y(g) = 126*g + 537. Let c be y(-4). Let t be 26/6 - 4/(-6). Find l, given that 2*l + 19 + t*l**4 + 7*l**2 + 9*l**3 + l**5 - c + 14 = 0.
-2, -1, 0
Let i be (-12 - -6)/(-12)*0. Solve 8/9*p - 10/9*p**2 + i + 2/9*p**3 = 0 for p.
0, 1, 4
Let s(a) = a**3 + 12*a**2 + 9*a - 20. Let b be s(-11). Let k = -134/3 - -45. Factor k*w**b + 1/3*w - 2/3.
(w - 1)*(w + 2)/3
Let w = 115 + -121. Let g be 12/(-28)*w/((-30)/(-35)). Suppose -g*d**2 + 13/3*d - 40/3*d**3 - 16/3*d**4 - 2/3 = 0. Calculate d.
-2, -1, 1/4
Let g(c) be the first derivative of 4*c**5/5 - 39*c**4/2 + 145*c**3/12 + 33*c**2/2 + 19*c/4 - 19. Let g(b) = 0. Calculate b.
-1/4, 1, 19
Let i be 27/15 - 1/(-5). Let p(c) = 7*c**2 - 2*c + 2. Let x(m) = -15*m**2 + 5*m - 5. Let t(w) = i*x(w) + 5*p(w). Factor t(u).
5*u**2
Let x(q) be the first derivative of -4*q - 2*q**3 + 13 + 1/4*q**4 + 9/2*q**2. Suppose x(j) = 0. Calculate j.
1, 4
Factor 2/5*q**3 + 12/5*q**2 + 16/5 - 6*q.
2*(q - 1)**2*(q + 8)/5
Let d(c) = -c**3 + 6*c**2 + 7*c + 4. Let p be d(7). Solve 4*s**3 - 16*s**2 + s**4 - 4 + 22*s**2 + 5 + 0 + p*s = 0.
-1
Let z(l) = -l + 4. Let b be z(-2). Suppose b + 3 = 3*c. Factor -3*y**c + 4*y**2 - 4*y**2 + 6*y - 3*y**2 + 6*y**2.
-3*y*(y - 2)*(y + 1)
Factor 2/7*l**4 + 8/7*l**2 + 0*l + 0 + 8/7*l**3.
2*l**2*(l + 2)**2/7
Let d be (-88)/(-33)*30/4. Let t(u) = 1. Let i(g) = 4*g**2 + 12*g + 28. Let l(p) = d*t(p) - i(p). Factor l(y).
-4*(y + 1)*(y + 2)
Let v = 25 + -25. Suppose -r - 1 = 5*c, v = -4*r + 2*c + 24 - 6. Factor 8*g**2 - 16*g**3 + 4*g**r + 4*g**2 + 0*g**2.
4*g**2*(g - 3)*(g - 1)
Let i(f) be the first derivative of f**5 - 45*f**4/4 + 100*f**3/3