3 + 0 - 1/840*m**7 + 0*m - 1/48*m**4 + 0*m**5. Factor j(u).
-(u - 1)**3*(u + 1)/4
Let o = -8 + 8. Let z be 60/77 - (-76)/209. Factor 0 + 2/7*i**3 - z*i + o*i**2.
2*i*(i - 2)*(i + 2)/7
Let w(q) be the third derivative of -19*q**2 + 0 + 0*q + 1/72*q**5 - 1/252*q**7 - 1/144*q**6 + 0*q**3 + 5/144*q**4. Solve w(s) = 0 for s.
-1, 0, 1
Let u(s) be the second derivative of -s**9/3024 + s**8/560 - s**6/90 + 5*s**3/6 + 6*s. Let x(h) be the second derivative of u(h). Factor x(o).
-o**2*(o - 2)**2*(o + 1)
Let s = 185 + -3319/18. Let i = s - 7/18. Determine v, given that -7/9*v + 7/9*v**2 + i - 2/9*v**3 = 0.
1/2, 1, 2
Suppose -3*o = -6*o - 24. Let y(w) = -w - 3. Let s be y(o). Factor 3/4*q**s + 0*q**3 + 0 + 3/2*q**4 - 3/2*q**2 - 3/4*q.
3*q*(q - 1)*(q + 1)**3/4
Solve 1/3*d**4 - d**2 - 16/3 - 26/3*d + 8/3*d**3 = 0 for d.
-8, -1, 2
Determine z, given that 4/11*z + 6/11*z**3 + 10/11*z**2 + 0 - 2/11*z**5 - 2/11*z**4 = 0.
-1, 0, 2
Let o be 12/(-3) - 47/(-25). Let s = 2341/75 - o. Suppose -s*g**5 + 430/3*g**4 + 436/3*g**2 - 646/3*g**3 + 16/3 - 136/3*g = 0. Calculate g.
2/5, 1/2, 1, 2
Let m = -51 + 53. Suppose -40 = -m*o - 36. Suppose u - 5/2*u**o - 1/2*u**4 + 0 + 2*u**3 = 0. What is u?
0, 1, 2
Let k(m) be the third derivative of -m**5/120 + 3*m**4/4 - 35*m**3/12 + m**2 + 16*m. Solve k(l) = 0 for l.
1, 35
Let i(h) be the third derivative of h**6/150 + 22*h**5/25 + 34*h**4 - 4624*h**3/15 - 586*h**2. Factor i(w).
4*(w - 2)*(w + 34)**2/5
Let j be (-1 - (-102)/110)*125/(-10). Factor 4/11 + 8/11*w**2 + j*w + 2/11*w**3.
2*(w + 1)**2*(w + 2)/11
Let d(h) be the third derivative of h**7/735 + h**6/420 - h**5/35 - h**4/21 + 8*h**3/21 + 229*h**2 - 3. Factor d(s).
2*(s - 2)*(s - 1)*(s + 2)**2/7
Let t(k) = 11*k**2 - 76*k - 15. Let g(r) = -26 + 102 + 295*r + 129*r - 56*r**2 - 44*r. Let z(x) = 5*g(x) + 24*t(x). Solve z(v) = 0 for v.
-1/4, 5
Let t(x) be the third derivative of 0*x**3 - 1/840*x**7 + 0*x**4 + 14*x**2 + 0*x - 1/240*x**5 + 0 + 1/240*x**6. Factor t(c).
-c**2*(c - 1)**2/4
Suppose -2*s + 12 = -8. Suppose l + 4*b = 4*l - 14, l = 4*b + s. Factor -l*x**2 + 0*x - 15 - 3 + 13*x - x.
-2*(x - 3)**2
Factor 1/2*u**2 + 40 - 21*u.
(u - 40)*(u - 2)/2
Let g(u) = 70*u + 39*u**3 - 12*u**3 + 15 + 58*u**3 + 155*u**2. Let z(t) = 128*t**3 + 232*t**2 + 105*t + 22. Let d(y) = 7*g(y) - 5*z(y). Solve d(c) = 0 for c.
-1, -1/3
Let r(h) be the first derivative of -h**7/42 + h**5/4 + 5*h**4/12 - 7*h**2 - 17. Let q(i) be the second derivative of r(i). Factor q(g).
-5*g*(g - 2)*(g + 1)**2
Let h = 2372 + -2370. Determine u, given that 15/2*u**h + 3/2*u**3 + 6*u + 0 = 0.
-4, -1, 0
Let m(u) be the second derivative of -u**7/210 + 8*u**6/75 - 97*u**5/100 + 139*u**4/30 - 38*u**3/3 + 20*u**2 + 169*u. Find c, given that m(c) = 0.
2, 5
Let y(t) = 28*t**2 + 525*t + 6046. Let u(p) = -3*p**2 - 58*p - 672. Let j(n) = 57*u(n) + 6*y(n). Solve j(x) = 0.
-26
Let y be 16/(816/(-17))*-9. Find q such that 0 + 0*q - 6/5*q**4 - 16/5*q**y - 8/5*q**2 = 0.
-2, -2/3, 0
Suppose -6*b = 2*b - 1928. Let i = b - 241. Factor i - 3/7*o**2 - 3/7*o.
-3*o*(o + 1)/7
Let c(n) be the second derivative of n**4/27 - 22*n**3/27 - 2*n + 23. Factor c(h).
4*h*(h - 11)/9
Let n(v) = -v**2 + v - 40. Let r(j) = -j**2 + 1. Let h(g) = n(g) - 2*r(g). Suppose h(a) = 0. What is a?
-7, 6
Let z(g) = 2*g**2 - 153*g + 161. Let f(i) = 3*i**2 - 229*i + 242. Let s(l) = -5*f(l) + 8*z(l). Factor s(p).
(p - 78)*(p - 1)
Factor -195/7*d**2 - 4*d + 28 + 4*d**3 - 1/7*d**4.
-(d - 14)**2*(d - 1)*(d + 1)/7
Factor -828/7*f - 198*f**2 + 21*f**3 - 120/7.
3*(f - 10)*(7*f + 2)**2/7
Let p(x) = x**3 - 10*x**2 - x + 10. Let m be p(10). Let q(c) be the first derivative of -3/4*c**4 - c**3 + m*c + 3/5*c**5 - 2 + 3/2*c**2. Factor q(y).
3*y*(y - 1)**2*(y + 1)
What is w in -148/3*w - 4/3*w**2 - 176 = 0?
-33, -4
Let n(s) be the third derivative of s**7/735 - 2*s**5/105 + 2*s**2 + 70. Factor n(w).
2*w**2*(w - 2)*(w + 2)/7
Let i(n) be the first derivative of 4/13*n - 1/13*n**2 - 2/39*n**3 + 13. Factor i(l).
-2*(l - 1)*(l + 2)/13
Let q = 1/1921 + 1917/7684. Factor -7/4*t**2 + 11/4*t - 5/4 + q*t**3.
(t - 5)*(t - 1)**2/4
Let i = 2277/140 + -65/4. Let f(a) be the second derivative of i*a**5 - 1/7*a**2 + 1/7*a**3 + 4*a + 0 - 1/14*a**4. Factor f(g).
2*(g - 1)**3/7
Let i(x) be the first derivative of 8/9*x**2 - 1/9*x**4 - 22 + 16/9*x - 4/27*x**3. Factor i(g).
-4*(g - 2)*(g + 1)*(g + 2)/9
Solve -196/5*l + 40*l**2 - 4/5*l**3 + 0 = 0.
0, 1, 49
Let q(w) be the first derivative of w**3/4 - 21*w**2/8 - 27*w/2 + 851. Let q(s) = 0. Calculate s.
-2, 9
Suppose 0 = -18*j + 352 - 316. Determine a so that 3/7*a - 3/7*a**j + 6/7 = 0.
-1, 2
Let d(u) be the first derivative of u**7/2520 + u**6/540 - 7*u**5/360 + u**4/18 + 5*u**3 - 3. Let c(g) be the third derivative of d(g). Factor c(m).
(m - 1)**2*(m + 4)/3
Factor 0 + 9/5*q + 21/5*q**2 + 3*q**3 + 3/5*q**4.
3*q*(q + 1)**2*(q + 3)/5
Let c(i) = -6*i + 83. Let s be c(13). Let d(r) be the second derivative of -1/15*r**6 + 2/3*r**3 + r**2 - 4*r + 0*r**4 - 1/5*r**s + 0. What is x in d(x) = 0?
-1, 1
Let u(m) be the second derivative of 4*m**4/21 - 67*m**3/42 + 6*m**2/7 - 809*m. Find l, given that u(l) = 0.
3/16, 4
Suppose 0 = 4*l - n + 40, -l - 2*n = -5*n + 21. Let v be l/(-3) - ((-21)/(-3) + -4). Factor -4/7*u**2 - 12/7*u**3 + v*u - 12/7*u**4 - 4/7*u**5 + 0.
-4*u**2*(u + 1)**3/7
Let z(h) = 5*h**2 + 114*h - 53. Let c(m) = 27*m**2 + 570*m - 264. Let t(n) = -5*c(n) + 24*z(n). Suppose t(u) = 0. Calculate u.
-8, 2/5
Let y = -20092/5 - -4006. Let a = -12 - y. Determine c, given that -2/5*c**3 + 2/5*c**2 + a*c - 2/5 = 0.
-1, 1
Suppose z - 9*z = -24. Let -8*b**4 + 0*b**4 - 5*b**z + 9*b**4 + 4*b**3 = 0. What is b?
0, 1
Suppose -19 - 92 = -37*l. Let b(u) be the second derivative of 4*u + 1/2*u**l - 1/4*u**4 + 0 + 3*u**2. What is o in b(o) = 0?
-1, 2
Let y(v) be the first derivative of -7*v**2 + v + 9 + 10*v**2 + v**3 - v. What is t in y(t) = 0?
-2, 0
Factor 2/3*w - 1/6*w**2 - 1/2.
-(w - 3)*(w - 1)/6
Let i(r) be the third derivative of r**6/105 + 13*r**5/210 + r**4/21 - 4*r**3/7 + 64*r**2. Determine u, given that i(u) = 0.
-2, 3/4
Let m = 2140 - 10696/5. Factor -2/5*n**2 + 2/5*n + m.
-2*(n - 2)*(n + 1)/5
Let l(h) = 7*h**2 + 18*h - 40. Let b be l(-4). Find p such that 3/5*p**2 + 1/5*p**3 + 0 + b*p = 0.
-3, 0
Let s(k) = -2*k**4 - 5*k**3 - 80*k**2 - 46*k - 7. Let r(i) = i**4 + 4*i**3 + 80*i**2 + 44*i + 6. Let h(j) = 7*r(j) + 6*s(j). Factor h(x).
-x*(x - 4)*(x + 4)*(5*x + 2)
Factor 78*p**2 - 92*p**2 - 293*p**3 - 24 + 32*p + 295*p**3.
2*(p - 3)*(p - 2)**2
Let b(d) be the third derivative of -d**8/336 - 3*d**7/140 - 7*d**6/360 + d**5/20 - 13*d**3/6 + 3*d**2. Let v(u) be the first derivative of b(u). Factor v(g).
-g*(g + 1)*(g + 3)*(5*g - 2)
Factor 93/2*g - 9*g**2 + 33/2.
-3*(2*g - 11)*(3*g + 1)/2
Let s = 94 + -94. Suppose -5*b = -4*q - 2*b, -3*q - b + 13 = s. Find x, given that 8/17*x - 2/17*x**q + 16/17 - 4/17*x**2 = 0.
-2, 2
Suppose -3*n = 2*a - 1 + 38, -5*a = -4*n - 80. Let p be (20/n - 4/6)*-1. Factor 1/7*r**3 + 0 + 2/7*r + 3/7*r**p.
r*(r + 1)*(r + 2)/7
Determine o so that 72/5*o**3 - 4*o**4 + 0 + 2/5*o**5 + 64/5*o - 112/5*o**2 = 0.
0, 2, 4
Let p(a) be the second derivative of a**8/1344 - a**7/504 + a**4/3 + 8*a. Let b(s) be the third derivative of p(s). Factor b(w).
5*w**2*(w - 1)
Let t(d) be the first derivative of 1/10*d**4 - 1/5*d**2 + 4/15*d**3 - 4 - 4/5*d. Factor t(r).
2*(r - 1)*(r + 1)*(r + 2)/5
Let p(d) be the first derivative of 0*d**5 + 0*d**3 + 0*d**2 + 0*d - 3/16*d**4 + 1/8*d**6 - 18. Find o, given that p(o) = 0.
-1, 0, 1
Suppose 3*k - 27 = -3*o, -o + 13*k - 21 = 8*k. Factor -3/2*y**2 - 3/2*y**o + 1 + 7/2*y**3 - 3/2*y.
-(y - 1)**3*(3*y + 2)/2
Let i(k) = 5*k**3 + 129*k**2 + 842*k + 722. Let b(c) = 2*c**2 + c + 1. Let j(q) = 2*b(q) - i(q). Factor j(h).
-5*(h + 1)*(h + 12)**2
Let b(f) be the third derivative of -f**5/15 - 25*f**4/6 + 36*f**3 + 210*f**2. Factor b(c).
-4*(c - 2)*(c + 27)
Let d be (1 + 12/(-9))/((-7)/378). Suppose -o = d - 22. Suppose 19/3*f**3 + 7/3*f**o + 0 + 8/3*f**2 - 4/3*f = 0. Calculate f.
-2, -1, 0, 2/7
Let z(n) = -n**2 + 147. Let m be z(12). Factor -4/3*d + 2/3 + 4/3*d**m + 0*d**2 - 2/3*d**4.
-2*(d - 1)**3*(d + 1)/3
What is b in -6/7 - 6/7*b**4 - 3/7*b**5 + 12/7*b**2 + 6/7*b**3 - 3/7*b = 0?
-2, -1, 1
Suppose 0*u + 5*u - 15 = 0. Suppose 0 