 + 8 - n + o**3 - 9 + o**2 - 2*o.
(o - 3)*(o + 2)**2
Let q = 343/20 + -82/5. Suppose 21 = 10*b - 3*b. Determine o so that 0 - q*o - 15/8*o**2 + 9/8*o**b = 0.
-1/3, 0, 2
Determine o, given that 78*o - 9*o**4 + 106*o**2 - 7*o**3 + 3*o**5 - 180*o**2 - 17*o**3 - 30*o + 110*o**2 = 0.
-2, -1, 0, 2, 4
Suppose 113*d + 6 = 203 + 29. Factor 0 + 0*r - r**d - 5/4*r**4 - 3*r**3.
-r**2*(r + 2)*(5*r + 2)/4
Let i(s) be the second derivative of s**7/49 + s**6/10 - 6*s**5/35 - 11*s**4/14 + 15*s**3/7 - 27*s**2/14 - 95*s. Determine f, given that i(f) = 0.
-3, 1/2, 1
Let o(t) be the third derivative of t**8/840 - 8*t**7/525 - 3*t**6/100 + 11*t**2 + 4*t. Factor o(i).
2*i**3*(i - 9)*(i + 1)/5
Suppose -t - 3*t + 20 = -2*u, 0 = -3*u + 4*t - 20. Suppose -3*n + 18 = -u*n. Factor -11*w - w**2 + 16 - 4*w + 4*w**2 + n*w**3 - 10.
3*(w - 1)*(w + 2)*(2*w - 1)
Let j(g) = -15*g**2 - 18*g - 9. Let x(c) = -17*c**2 - 19*c - 9. Let s(i) = 7*j(i) - 6*x(i). Factor s(w).
-3*(w + 1)*(w + 3)
Suppose -6*i = -11*i + 10. Solve -433*r**3 - 3*r**2 + 427*r**3 + i*r**4 + 9*r**2 - 2*r = 0.
0, 1
Let j be (6/(-8))/((-24)/64). Let g(n) = -n**2 + n - 1. Let y(m) = -25*m**2 + m - 7. Let t(c) = j*y(c) - 22*g(c). Factor t(i).
-4*(i + 1)*(7*i - 2)
Let b(f) = -f - 3. Let j be b(-1). Let r(i) = -i**3 - i**2 + 5*i + 6. Let c be r(j). Determine d, given that c - 1/4*d - 1/4*d**2 = 0.
-1, 0
What is u in 1/2*u**2 + 20*u + 39/2 = 0?
-39, -1
Factor -32/3 + 14/3*l**3 - 1/3*l**4 - 19*l**2 + 76/3*l.
-(l - 8)*(l - 4)*(l - 1)**2/3
Let f(i) be the second derivative of -i**5/40 + 11*i**4/24 - 31*i**3/12 + 21*i**2/4 - 260*i. Factor f(x).
-(x - 7)*(x - 3)*(x - 1)/2
Let r(j) = j**2 - j. Suppose 8*m = 19 + 13. Let n(v) = v**2 - v + 6. Let x(g) = m*r(g) - n(g). Suppose x(a) = 0. Calculate a.
-1, 2
Let o(j) = j + 3. Let f = -17 + 17. Let k be o(f). Solve -1/3*z**k + 1/3*z + 0 - 1/3*z**2 + 1/3*z**4 = 0 for z.
-1, 0, 1
Let d(q) = q**4 - q + 2. Let u(m) = -8*m**4 + 40*m**3 - 48*m**2 - 284*m - 8. Let l(n) = 4*d(n) + u(n). Factor l(x).
-4*x*(x - 6)**2*(x + 2)
Let k be (6 - -1) + -2 + -3. Suppose 3 = 4*d + k*o - 1, -4*o = d + 13. Factor 0*j**3 - d*j**3 + 0*j**5 - 2*j**5 + 5*j**3.
-2*j**3*(j - 1)*(j + 1)
Let h be 36/60 - 27/45. Find q such that 2/15*q**4 - 2/5*q**3 + h*q + 0 + 4/15*q**2 = 0.
0, 1, 2
Find u, given that -2/7*u**5 + 162/7*u**2 + 0 + 38/7*u**4 + 0*u - 198/7*u**3 = 0.
0, 1, 9
Let a(y) be the second derivative of y**6/6 - 9*y**5/2 - 65*y**4/4 - 50*y**3/3 + 6*y + 3. Factor a(n).
5*n*(n - 20)*(n + 1)**2
Find q such that -72/13 + 14/13*q**3 - 240/13*q + 46/13*q**2 = 0.
-6, -2/7, 3
Let p(u) be the third derivative of 25*u**2 + 0 + 1/540*u**6 + 0*u + 1/135*u**5 + 0*u**3 + 1/108*u**4. Let p(a) = 0. Calculate a.
-1, 0
Let x(y) = y**2 - 14*y + 36. Let w(z) = 18*z - 36 + 17*z**2 - 18*z**2 - 3*z. Let n(p) = 2*w(p) + 3*x(p). Factor n(q).
(q - 6)**2
Let j be 1*(1 - (-8)/(-2)) - -7. Factor 138*v + 4*v**4 - 3*v**3 + 0*v**3 - 134*v - 3*v**j.
v*(v - 2)**2*(v + 1)
Let l(n) be the second derivative of -n**6/6 + 9*n**5/4 - 25*n**4/4 - 125*n**3/6 - n + 183. Determine z so that l(z) = 0.
-1, 0, 5
Let y(z) be the first derivative of 11*z**3/3 - 23*z**2/4 + 3*z + 496. Solve y(u) = 0 for u.
1/2, 6/11
Let a = 4/411 + 90/137. Find k, given that -2 - a*k**2 + 8/3*k = 0.
1, 3
Let h(a) be the third derivative of 1/30*a**5 - 1/60*a**6 + 0 + 0*a**3 + 22*a**2 + 0*a**4 + 0*a. Solve h(b) = 0.
0, 1
Let w(j) be the first derivative of j**8/420 + j**7/105 - j**6/90 - j**5/15 - 7*j**3/3 + 44. Let n(l) be the third derivative of w(l). Let n(s) = 0. What is s?
-2, -1, 0, 1
Let m(i) be the third derivative of -i**9/6720 + i**8/6720 + i**5/10 - 10*i**2. Let q(r) be the third derivative of m(r). Determine s so that q(s) = 0.
0, 1/3
Let a(x) be the first derivative of x**4/54 + 13*x**3/27 - 26*x + 7. Let n(l) be the first derivative of a(l). Factor n(z).
2*z*(z + 13)/9
Let i(u) be the first derivative of 0*u - 3/4*u**4 - 3/5*u**5 + u**3 + 3/2*u**2 - 23. Find b such that i(b) = 0.
-1, 0, 1
Factor 356/3 + 352*l**2 - 344/3*l**3 - 1064/3*l - 4/3*l**4.
-4*(l - 1)**3*(l + 89)/3
Suppose 2*g = g - 5, -s = -g - 26. Suppose s*h - 18 = 15*h. Factor 3/5*y**4 + 0*y + 0 + 0*y**2 - 3/5*y**h.
3*y**3*(y - 1)/5
Let i(r) be the third derivative of -1/504*r**8 - 1/180*r**6 + 0*r**5 - 16*r**2 - 2/315*r**7 + 0*r**3 + 0*r**4 + 0*r + 0. Determine p, given that i(p) = 0.
-1, 0
Let a(u) be the first derivative of -242*u**5/15 - 506*u**4/3 - 1528*u**3/3 - 736*u**2/3 - 128*u/3 + 14. Suppose a(z) = 0. Calculate z.
-4, -2/11
Let c(s) = -s**2 + 37*s - 67. Let o be c(35). Let i(l) be the third derivative of -2*l**2 + 0*l**o + 0 + 1/300*l**6 + 1/150*l**5 - 1/30*l**4 + 0*l. Factor i(p).
2*p*(p - 1)*(p + 2)/5
Let s(k) be the second derivative of 3*k - 1/10*k**5 - 16*k**2 - 8/3*k**3 + 0 + 7/6*k**4. Solve s(z) = 0.
-1, 4
Let i(q) be the first derivative of 5*q**3 + 123*q**2 + 96*q + 49. Factor i(g).
3*(g + 16)*(5*g + 2)
Let v = -18664/13 - -1436. Find f, given that 2/13*f - 4/13*f**2 + v - 2/13*f**3 = 0.
-2, -1, 1
Let l(s) be the third derivative of s**8/4032 - s**7/504 - s**6/48 - 19*s**5/60 - 12*s**2. Let g(d) be the third derivative of l(d). Factor g(b).
5*(b - 3)*(b + 1)
Let z(t) be the first derivative of 2*t**3/3 - 18*t**2 + 144*t + 799. Factor z(q).
2*(q - 12)*(q - 6)
Let w(l) be the second derivative of l**5/90 - l**4/9 + 5*l**3/27 - 11*l. What is d in w(d) = 0?
0, 1, 5
Solve 5/4*w**5 - 39/2 + 7/4*w + 81*w**3 + 163/2*w**2 + 22*w**4 = 0 for w.
-13, -3, -1, 2/5
Let g = -20 + 20. Suppose -27 = -g*h - 3*h. Let h*a**4 + 9*a**3 + 3*a**5 - 4*a + 3*a**2 + 4*a + 0*a = 0. What is a?
-1, 0
Suppose -5*v - 5*l = -13 - 37, -v = -l - 2. Suppose 3 = v*b - 9. Determine x, given that 2/13*x**3 + 24/13*x**b + 128/13 + 96/13*x = 0.
-4
Let a(i) be the second derivative of -i**5/60 - 17*i**4/36 + 37*i**3/18 - 19*i**2/6 - 6*i - 23. Determine q, given that a(q) = 0.
-19, 1
Let k(j) be the first derivative of 1 + 120*j**4 - 270*j**3 + 5/3*j**6 + 405*j - 23*j**5 + 135*j**2. Factor k(n).
5*(n - 3)**4*(2*n + 1)
Let c = -3707 + 126057/34. Let f = -1/17 + c. Factor -f*t**2 + 1/2 + 0*t.
-(t - 1)*(t + 1)/2
Suppose 14*j = 2*j + 180. Suppose 6*o = j - 3. Solve 2/7*i + 6/7*i**o + 0 = 0 for i.
-1/3, 0
Let m(o) be the first derivative of 0*o + 1/18*o**3 - 30 + 1/2*o**2. Let m(s) = 0. What is s?
-6, 0
Let b(v) be the first derivative of -2*v**3/27 - 65*v**2/9 + 275. Factor b(n).
-2*n*(n + 65)/9
Let q be (-28)/35*(20/(-8))/(-1). Let h be -9 + 15 - (-9)/q. Let 6*r - 3*r**3 - 6 + 9/2*r**2 - h*r**4 = 0. What is r?
-2, 1
Let z = 14713/5 + -2953. Let a = -10 - z. Factor -2/5*o**2 + 0 + 0*o + a*o**3.
2*o**2*(o - 1)/5
Let t = -29 - -5. Let u = t - -28. Factor -1/2*d + 1/4*d**u - 3/4*d**3 - 5/4*d**2 + 1/4*d**5 + 0.
d*(d - 2)*(d + 1)**3/4
Let t(x) = 3*x**2 + 4*x + 4. Let b be t(-3). Suppose -4*g - 2*k = -2*g - 10, -4*g = 3*k - b. Factor 27*l**2 - g*l + 0 + 2 + 1 - 14*l.
3*(3*l - 1)**2
Factor 0*m**3 + 2/17*m**4 - 4/17*m**2 + 0*m + 2/17.
2*(m - 1)**2*(m + 1)**2/17
Let k(a) = -3*a - 45. Let x be k(-23). Let u be 1/4*x/10. Factor u*v + 0*v**2 + 2/5 - 1/5*v**3.
-(v - 2)*(v + 1)**2/5
Let l(q) be the first derivative of -q**4/2 + 110*q**3/3 + 232*q**2 + 472*q - 872. Factor l(i).
-2*(i - 59)*(i + 2)**2
Let n = 35 - 26. Let -9*m**5 + n*m**4 + 15*m**5 - 2*m**4 - m**2 = 0. What is m?
-1, -1/2, 0, 1/3
Let o = 69 - 67. Let g be o/((-3)/(-7 + 4)). Factor 2/5*m**4 - 4/5*m + 0 + 0*m**3 - 6/5*m**g.
2*m*(m - 2)*(m + 1)**2/5
Let a(b) = 3*b**2 + 117*b + 1086. Let v(d) = -d - 1. Let m(q) = -a(q) - 3*v(q). Factor m(i).
-3*(i + 19)**2
Let o(w) be the second derivative of -w**7/63 - w**6/45 + 7*w**5/30 + w**4/18 - 2*w**3/3 - 15*w. Determine r so that o(r) = 0.
-3, -1, 0, 1, 2
Let a = -248/13 + 2519/130. Let x(c) be the second derivative of 0 + 0*c**2 - 1/2*c**3 + 3/4*c**5 - 1/4*c**4 + 2*c - a*c**6. Find s such that x(s) = 0.
-1/3, 0, 1
Let b = -32 - -38. Let a(t) = t**3 - 5*t**2 - 4*t - 11. Let i be a(b). Let 0*j - 1/4*j**2 + i = 0. Calculate j.
-2, 2
Let u(x) be the second derivative of 0*x**2 - x + 0 + 0*x**3 - 1/110*x**5 + 2/33*x**4. Factor u(f).
-2*f**2*(f - 4)/11
Solve 1/4*i**5 + 0 + 0*i - 1/2*i**3 + 0*i**2 + 1/4*i**4 = 0.
-2, 0, 1
Let n(p) be the first derivative of 0*p**2 + 1/12*p**3 - p - 1/10*p**5 - 1/8*p**4 - 5. Let z(x) be the first derivative o