4*r**2 - 5/4*r.
5*(r - 3)*(r + 2)/4
Suppose -108*q**2 + 5*q + 46*q**5 - 3*q + 4 + 160*q**4 - 408*q**4 + 272*q**3 + 32*q**5 = 0. What is q?
-2/13, 1/3, 1
Let f(i) be the second derivative of -i**5/5 + 4*i**4 + 2*i**3/3 - 24*i**2 + 113*i. Determine j so that f(j) = 0.
-1, 1, 12
Let a(m) = -m**5 + m**4 + m**3 - m**2 + m + 1. Let p(c) = 4*c**5 + 61*c**4 + 134*c**3 + 129*c**2 + 65*c + 13. Let v(w) = 15*a(w) - 3*p(w). Solve v(i) = 0 for i.
-2, -1, -2/9
Let b = -7 + 21. Suppose -162*d + 163*d - 2 = 0. Let 16*u**3 - 6*u - 32*u**2 + b*u - 4*u**4 + 12*u**d = 0. Calculate u.
0, 1, 2
Let p(b) be the first derivative of 5*b**8/336 - b**7/21 + b**6/24 - 7*b**2 + 12. Let x(f) be the second derivative of p(f). Determine m, given that x(m) = 0.
0, 1
Let m(d) be the third derivative of d**6/480 - d**4/32 + d**3/12 - 83*d**2. Factor m(h).
(h - 1)**2*(h + 2)/4
Let i(g) be the first derivative of -g**6/10 - 3*g**5/5 + 11*g**4/4 - 3*g**3 - 31*g - 2. Let u(o) be the first derivative of i(o). Factor u(j).
-3*j*(j - 1)**2*(j + 6)
Let q = -545 + 545. Let o(a) be the first derivative of -3/16*a**4 + 1/10*a**5 + 0*a**2 + 1/8*a**6 + q*a - 1/6*a**3 - 2. Determine y, given that o(y) = 0.
-1, -2/3, 0, 1
Let k(d) = d**3 - 7*d**2 + 5*d - 1. Let w be k(6). Let j be 0 - w - 45/15. Factor 4*z + 268 - 268 + j*z**2.
4*z*(z + 1)
Let s(t) = 4*t**2 - 124*t - 304. Let r(y) = y**2 - 40*y - 101. Let m(o) = -20*r(o) + 6*s(o). Find k such that m(k) = 0.
-7
Let l(j) be the third derivative of -5041*j**5/180 + 71*j**4/18 - 2*j**3/9 - 2*j**2 + 6. Suppose l(r) = 0. What is r?
2/71
Suppose -6 = -3*j + 9. Suppose 10*h - 275 = j*h. Solve 1 + 53*k**2 - 4*k + 3*k - k**5 + k**4 - h*k**2 + 2*k**3 = 0.
-1, 1
What is w in 0*w**4 + 2/5*w**5 + 0 + 0*w - 8/5*w**3 + 0*w**2 = 0?
-2, 0, 2
Let x(a) be the first derivative of -2*a**3/33 - a**2/11 + 150. Factor x(j).
-2*j*(j + 1)/11
Determine o so that 3/8*o**2 + 3/4 - 19/8*o = 0.
1/3, 6
Let z be 21/(-126)*(-6)/8. Let k(w) be the second derivative of 0 + 27/80*w**5 + 0*w**2 + 6*w - 3/8*w**4 + z*w**3. Factor k(y).
3*y*(3*y - 1)**2/4
Let f(o) be the third derivative of -5*o**8/2856 + o**7/255 - o**6/510 + 90*o**2. Factor f(u).
-2*u**3*(u - 1)*(5*u - 2)/17
Let i = 174/19 - 1738/57. Let j = i - -22. Solve 2/3*r**3 - j*r + 2/3*r**4 - 2/3*r**2 + 0 = 0 for r.
-1, 0, 1
Let w = 1107 - 1105. Let v(m) be the first derivative of -6*m - 1/2*m**4 - 10/3*m**3 - 5 - 7*m**w. Suppose v(p) = 0. What is p?
-3, -1
Suppose 7*q + 2 = 9. Let h be 0/(q/((-5 - -3)/2)). Factor 0 + 2/5*c**2 + h*c + 2/5*c**3.
2*c**2*(c + 1)/5
Let c(b) be the second derivative of -b**8/3360 - b**7/504 - b**6/180 - b**5/120 + 11*b**4/6 + 12*b. Let j(n) be the third derivative of c(n). Factor j(z).
-(z + 1)**2*(2*z + 1)
Let p(r) = -r**5 - r**3 + r**2 - r + 1. Let w(x) = -3*x**5 - 12*x**4 + 12*x**3 - 6*x**2 - 3*x + 6. Let q(o) = -6*p(o) + w(o). Suppose q(a) = 0. What is a?
0, 1
Let s = -58 + 84. Suppose -y + s - 24 = 0. Factor -1/4*l + 1/2*l**3 + 1/4*l**4 - 1/4*l**5 + 1/4 - 1/2*l**y.
-(l - 1)**3*(l + 1)**2/4
Let k(x) = 15*x**4 + 47*x**3 + 8*x**2 - 12*x - 4. Let w(q) = -30*q**4 - 96*q**3 - 15*q**2 + 24*q + 9. Let z(m) = 9*k(m) + 4*w(m). Factor z(p).
3*p*(p + 1)*(p + 2)*(5*p - 2)
Factor 0 + 80/3*b**2 + 20/3*b + 65/3*b**3 + 5*b**4.
5*b*(b + 2)**2*(3*b + 1)/3
Suppose -37538/3 - 2/3*u**2 + 548/3*u = 0. Calculate u.
137
Suppose p = 6*p. Suppose -i + 30 - 27 = p. Solve -8/13 - 8/13*j**i + 6/13*j**2 + 2/13*j**4 + 8/13*j = 0.
-1, 1, 2
Let g(t) = 3*t**3 - 3*t**2 - 24*t - 12. Let w(j) = 10*j**3 + j**2 - 11*j - 36 - 10*j**2 - 61*j. Let l(n) = -17*g(n) + 6*w(n). Let l(d) = 0. What is d?
-1, -2/3, 2
Let i(d) be the first derivative of -30/7*d**2 - 10 - 150/7*d - 2/7*d**3. Factor i(z).
-6*(z + 5)**2/7
Let f be (-3 + 1)*(3 + -1 + -3). Suppose 0 = -f*b + 4*c + 6, -c - 3 + 29 = 5*b. Let -1/2 + g**3 + g**2 - 1/2*g**b - 1/2*g - 1/2*g**4 = 0. What is g?
-1, 1
Suppose 0 = -3*u + 4*r + 26, 3*u - 13*r + 19 = -18*r. Determine p so that 3/8*p**u + 5/8 + p = 0.
-5/3, -1
Let 12*m + 147*m**5 + 30*m**3 + 39*m**3 + 101*m**4 + 109*m**4 - 78*m**3 - 60*m**2 = 0. Calculate m.
-1, 0, 2/7
Let d(f) be the first derivative of 20*f - 28 + 65/4*f**4 - 50*f**2 - 23*f**5 + 95/3*f**3 + 35/6*f**6. Let d(z) = 0. What is z?
-1, 2/7, 1, 2
Suppose -86 + 53 = -z - 5*i, 0 = -3*z - 3*i + 27. Solve 0*w**2 + 0*w - 3/2*w**z + 0 = 0.
0
Let b(j) be the third derivative of 0 + 0*j + 26*j**2 + 1/48*j**4 - 1/480*j**5 - 1/12*j**3. Find z such that b(z) = 0.
2
Let g(y) be the first derivative of 0*y + 16/21*y**3 + 8/7*y**2 - 3/7*y**4 - 8/35*y**5 + 2/21*y**6 - 18. Factor g(m).
4*m*(m - 2)**2*(m + 1)**2/7
Let u(b) be the second derivative of b**5/36 + 25*b**4/72 + 10*b**3/9 - b**2 - 18*b. Let h(f) be the first derivative of u(f). Suppose h(z) = 0. Calculate z.
-4, -1
Find k such that -605/3*k**4 + 0 + 10/3*k - 205/3*k**5 - 195*k**3 - 175/3*k**2 = 0.
-1, 0, 2/41
Let q = 769 + -766. Let k be ((-8)/15)/(10/(-50)). Factor 4*x**2 - 4/3*x**q + 0 - k*x.
-4*x*(x - 2)*(x - 1)/3
Suppose k - 5*q - 18 = 0, 5*q = 5*k - 13 - 17. Let c = 3508/7 - 17519/35. Solve -h**2 + 0 + c*h - 2/5*h**k = 0 for h.
-3, 0, 1/2
Suppose -9/7*q**2 - q - 5/7*q**3 - 2/7 - 1/7*q**4 = 0. Calculate q.
-2, -1
Suppose -2*w + 18 - 10 = 0, 12 = 5*c + 3*w. Factor -2/7*g**4 + c*g**2 + 0*g + 0 + 4/7*g**3.
-2*g**3*(g - 2)/7
Let f(h) = -h**2 + 6*h + 11. Let y be ((-16)/6)/((-24)/36). Let n(z) = -6*z**2 - y*z + 45 + 28*z + z**2. Let g(u) = -9*f(u) + 2*n(u). Factor g(t).
-(t + 3)**2
Let t = 31 - 29. Factor -4*d**t + 4*d**3 + 6*d - 8*d + 2*d.
4*d**2*(d - 1)
Let w(p) be the second derivative of -3*p**5/20 - 12*p**4 - 288*p**3 - 19*p - 7. Let w(m) = 0. What is m?
-24, 0
Suppose u + 10 + 23 = 0. Let o(x) = 3*x**4 - x**2 + 8*x - 6. Let g(v) = -16*v**4 - v**3 + 4*v**2 - 40*v + 31. Let m(k) = u*o(k) - 6*g(k). Factor m(b).
-3*(b - 2)*(b - 1)**2*(b + 2)
Factor -225/4*j - 1/4*j**3 + 15/2*j**2 + 0.
-j*(j - 15)**2/4
Factor -14829 - 420*n**2 + 15111*n - 12706 - 8811 + 3*n**3 + 7780.
3*(n - 69)**2*(n - 2)
Let d be ((-140)/(-16) + -8)*(-1 - 55/(-45)). Let w = 1 - -1. Suppose 1/6*g**w + 0*g + 1/3*g**3 + 0 + d*g**4 = 0. What is g?
-1, 0
Let j = 1984 - 1980. Let o(i) be the second derivative of 0 - 1/4*i**5 + 7/30*i**6 + i**2 + 5/6*i**3 - 3/4*i**j + 6*i. Suppose o(l) = 0. Calculate l.
-1, -2/7, 1
Suppose -l = 2*d - 9 + 36, -5*d - 20 = 0. Let g = l + 23. Factor 0 - 2/3*a**3 + 0*a + 1/3*a**2 + 1/3*a**g.
a**2*(a - 1)**2/3
Let t(l) be the first derivative of -l**5/5 + l**4/4 + l**3 - 5*l**2/2 + 2*l + 14. Find i, given that t(i) = 0.
-2, 1
Let n(g) = -3*g**3 - 10*g**2 + 52*g - 5. Let d(u) = -4*u**3 - 17*u**2 + 78*u - 7. Let v(q) = -5*d(q) + 7*n(q). Factor v(x).
-x*(x - 13)*(x - 2)
Factor 275 + 755*b**2 - 645*b**2 + 2*b**3 + 1183 + 1566*b.
2*(b + 1)*(b + 27)**2
Let a(b) = -3*b**2 - 9*b - 9. Let k(x) = 2. Let h(m) = 1. Let z(q) = -5*h(q) + 3*k(q). Let p(i) = -a(i) - 9*z(i). Factor p(l).
3*l*(l + 3)
Let b(z) = -41*z**4 + 255*z**3 - 73*z**2 + 9*z - 9. Let r(g) = 10*g**4 - 64*g**3 + 18*g**2 - 2*g + 2. Let s(p) = -2*b(p) - 9*r(p). Factor s(y).
-2*y**2*(y - 8)*(4*y - 1)
Let q(c) = c**2 + 5*c + 6. Let d be q(-4). Let f(x) = -x - 8. Let w be f(-10). Solve -4*a + 4*a**2 - 4*a**3 + d*a**w + 2*a**3 = 0 for a.
0, 1, 2
Let h(u) = u**3 + 8*u**2 + 2*u + 7. Let m be h(-7). Suppose -15*f + m = -3. Factor f + 3/2*c**2 - 9/2*c.
3*(c - 2)*(c - 1)/2
Let g(a) = a**3 + 9*a**2 + 14*a + 2. Let f be g(-2). Let x(q) be the first derivative of -45/14*q**f - q**3 + 5 - 27/7*q - 3/28*q**4. Factor x(b).
-3*(b + 1)*(b + 3)**2/7
Let m(v) be the third derivative of 1/16*v**4 + 0*v**3 - 9*v**2 + 1/48*v**6 - 7/120*v**5 + 0 - 1/420*v**7 + 0*v. Find x, given that m(x) = 0.
0, 1, 3
Suppose -5*z + 18 = 4*z. Suppose -3*h = -z*h - 11*h. Let h + 1/4*k - 1/4*k**3 + 1/4*k**2 - 1/4*k**4 = 0. Calculate k.
-1, 0, 1
Let k(s) be the second derivative of -s**4/6 - 14*s**3/3 - 24*s**2 - 14*s. Factor k(o).
-2*(o + 2)*(o + 12)
Let w(u) be the first derivative of -36 + 10/21*u**3 - 4*u + 33/7*u**2. Determine j, given that w(j) = 0.
-7, 2/5
Let v(s) be the first derivative of s**3/12 - s**2 - 9*s/4 - 411. Find w, given that v(w) = 0.
-1, 9
Let c be 2/(-20) + (-38)/(-76). Factor -3/5*v**2 + 1/5*v + c + 1/5*v**4 - 1/5*v**3.
(v - 2)*(v - 1)*(v + 1)**2/5
What is x in x**2 + 7/3*x**3 - 21*x - 36 + 1/3