22*h**3 + 64*h**2 + 82*h + 13. Let k(p) = 3*b(p) + 8*i(p). Factor k(n).
(n + 1)**3*(n + 7)
Let h = -46 - -48. Let n be h + 1/4 + -2. Factor 1/2*t - 1/4 - n*t**2.
-(t - 1)**2/4
Let y be -12 - (1 + -13)/2. Let n be 1/2*(y + 9). Factor -3/2*b**3 + n*b - 9/2*b**2 + 3 + 3/2*b**4.
3*(b - 2)*(b - 1)*(b + 1)**2/2
Let t = -2697 - -2699. Factor -4/13 + 2/13*g**3 + 10/13*g - 8/13*g**t.
2*(g - 2)*(g - 1)**2/13
Let r(y) = 8*y - 30. Let z be r(5). Let z*h**3 + 106*h**2 - 15*h**4 + 6*h**5 - 46*h**2 - 50*h**2 - 15*h - h**5 + 5 = 0. What is h?
-1, 1
Let g(d) be the second derivative of 0*d**5 + 1/2*d**4 - 1/2*d**3 - 7*d - 1/5*d**6 + 1/14*d**7 + 0 + 0*d**2. Let g(t) = 0. Calculate t.
-1, 0, 1
Let i(y) = -y**3 - 14*y**2 + 30*y - 15. Let z(f) = f**3 - 1. Suppose 0 = 5*x - 6*x + 2. Let r(u) = x*i(u) + 6*z(u). Suppose r(b) = 0. Calculate b.
1, 3
Let n(k) = 10*k**4 + 17*k**3 + 26*k**2 + 16*k - 3. Let u be 1*((-16)/(-2) - 9/3). Let m(t) = -t**4 - t**2 - t + 1. Let c(b) = u*m(b) + n(b). Solve c(v) = 0.
-1, -2/5
Suppose -o - 16 = g + 4*o, 0 = 5*o + 20. Let h(k) be the second derivative of 0*k**g + 0*k**2 + 0 + 1/20*k**5 - 1/6*k**3 + 5*k. Let h(m) = 0. What is m?
-1, 0, 1
Let q(p) be the second derivative of 3*p**5/40 + 61*p**4/24 - 43*p**3/12 - 21*p**2/4 - 2*p - 71. Factor q(o).
(o - 1)*(o + 21)*(3*o + 1)/2
Let v(w) = 4*w - 70. Let x be v(18). Let k(l) be the first derivative of x*l**3 - 1/2*l**4 + 3 - 3*l**2 + 2*l. Find s, given that k(s) = 0.
1
Let o(r) = -6*r**2 - 2*r - 12. Let m(c) = -12*c**2 - 4*c - 26. Let d(n) = -6*m(n) + 13*o(n). Find i, given that d(i) = 0.
-1/3, 0
Suppose -5*l + 84 = -7*l. Let v be (-3)/(-7) + (-150)/l. Find t such that -1 + 2*t**4 + t**5 + 2*t**3 + 1 + t**v = 0.
-2, -1, 0
Let o(c) = 7*c**2 - 41*c + 32. Let f be o(5). Let n(x) be the first derivative of -1/6*x**3 + 0*x**f - 7 + 1/2*x. Let n(r) = 0. Calculate r.
-1, 1
Let k(q) be the third derivative of -q**8/504 - 4*q**7/63 - 31*q**6/45 - 77*q**5/45 + 637*q**4/36 + 686*q**3/9 - 61*q**2. Solve k(n) = 0 for n.
-7, -1, 2
Let r be 3/((-48)/(2 + 4) + 9). Find i, given that 6*i**2 + 2/11 + 80/11*i**r + 20/11*i + 32/11*i**4 = 0.
-1, -1/4
Determine g so that 0*g**2 - 1/5*g**4 - 2/5*g + 1/5 + 2/5*g**3 = 0.
-1, 1
Let i = 1273/252 + -129/28. Solve -4/9*h**4 - 4/3*h**2 - 4/3*h**3 - i*h + 0 = 0 for h.
-1, 0
Let x(s) = -s. Let l be x(-12). Let n(d) = -d**3 + 13*d**2 - 13*d + 14. Let f be n(l). Factor 0 + 4/7*h**f + 2/7*h**3 + 2/7*h.
2*h*(h + 1)**2/7
Suppose 0 = -3*s - 3*m + 114, 4*m - 84 = -4*s + 2*s. Suppose -4*d = 6 - s. Solve -d*u + 0*u + 6*u + u**2 = 0.
0, 1
Find x, given that 280*x + 0 + 240*x**2 + 5*x**4 + 90*x**3 + 0 + 60*x**2 = 0.
-14, -2, 0
Let z(h) be the third derivative of 0 - 1/3*h**5 - 2/35*h**7 + 1/5*h**6 + 17*h**2 + 1/4*h**4 + 0*h + 0*h**3 + 1/168*h**8. Find f such that z(f) = 0.
0, 1, 3
Let y(u) be the third derivative of 0*u - 1/360*u**6 + 0*u**3 + 0 - 1/90*u**5 - 1/72*u**4 - 15*u**2. Determine d so that y(d) = 0.
-1, 0
Let h = -19 + 31. Find u such that 2*u**5 + 10*u**2 + 14*u**4 - h - 32*u + 0*u**2 + 30*u**3 - 12 = 0.
-3, -2, -1, 1
Let q be (2 - (-1)/1)/(7 - 6). Let q*v**3 - 9*v + 0 - 8 + 2 + 0 = 0. What is v?
-1, 2
Factor -b**2 + 1/3*b**4 - 2/3*b + 0 + 0*b**3.
b*(b - 2)*(b + 1)**2/3
Let b(w) = 16*w**3 + 2330*w**2 + 135494*w + 53824. Let i(l) = -l**3 - l**2 - l. Let u(r) = -b(r) - 6*i(r). Find h such that u(h) = 0.
-116, -2/5
Factor -980/3*d**2 + 0*d + 140/3*d**3 + 0 - 5/3*d**4.
-5*d**2*(d - 14)**2/3
Let i(x) = x**3 + x + x**2 - 10*x + 10*x - 1. Let g(d) = d**4 + 5*d**2 + 3*d - 3. Let a(j) = 5*g(j) - 15*i(j). Find m such that a(m) = 0.
0, 1, 2
Let c = -1701 - -1705. Let i(q) be the second derivative of 11*q + 2/13*q**2 + 0 - 1/130*q**5 + 2/39*q**c - 5/39*q**3. Let i(y) = 0. Calculate y.
1, 2
Suppose -4*h = 18*h. Factor 0*d + h + 0*d**2 + 2/7*d**5 - 2/7*d**3 + 0*d**4.
2*d**3*(d - 1)*(d + 1)/7
Let u(o) be the first derivative of -o**6/720 + 7*o**5/240 - o**4/8 + 5*o**3/3 - 17. Let h(s) be the third derivative of u(s). Factor h(p).
-(p - 6)*(p - 1)/2
Solve 5*l**3 + 25 + 60*l**2 + 20 + 105*l + 5 + 0*l**3 = 0 for l.
-10, -1
Let a(v) = v**2 - 16*v + 26. Let f be a(14). Let m be (-13)/(-4)*40/55 + f. Factor 2/11 - 4/11*r**2 + 2/11*r**4 - 2/11*r**5 + m*r**3 - 2/11*r.
-2*(r - 1)**3*(r + 1)**2/11
Let v be 195/169 - 2/2. Factor -v + 2/13*m**2 + 2/13*m**3 - 2/13*m.
2*(m - 1)*(m + 1)**2/13
Factor 10 - 27*l + 339*l**2 - 663*l**2 + 329*l**2.
(l - 5)*(5*l - 2)
Let d = 38 - 38. Let r = -47/77 + 13/11. Find w, given that 0 + d*w + r*w**2 - 2/7*w**3 = 0.
0, 2
Let w(v) be the second derivative of 3*v**5/80 + 5*v**4/4 + 25*v**3/2 - 2*v + 35. Let w(z) = 0. What is z?
-10, 0
Let k(t) be the first derivative of -t**3 + 177*t**2/2 + 627. Factor k(f).
-3*f*(f - 59)
Find l, given that 6 - 9/2*l**4 - 3/2*l**2 + 12*l**3 - 12*l = 0.
-1, 2/3, 1, 2
Let g = 30931/2 + -15465. Let 5/2*w**2 - 3/2*w - g*w**3 - 9/2 = 0. Calculate w.
-1, 3
Factor -2/13*f**2 - 48/13*f + 0.
-2*f*(f + 24)/13
Factor 0*z**2 - 1/3*z**3 + z - 2/3.
-(z - 1)**2*(z + 2)/3
Let w(l) be the first derivative of 15*l**3/2 + 615*l**2/2 + 8405*l/2 + 333. Factor w(q).
5*(3*q + 41)**2/2
Solve -151/4*u**2 - 5625/4 - 5775/4*u - 1/4*u**3 = 0.
-75, -1
Let o(p) be the second derivative of p**5/4 - 15*p**4/4 + 45*p**3/2 - 135*p**2/2 - 7*p + 3. Factor o(j).
5*(j - 3)**3
Let z = 52 - 47. Suppose 0 = t + 2*u - 6, -4*t - 2*u = -z*u + 9. Find s such that -2/5*s + 4/5*s**4 - 4/5*s**2 + t + 2/5*s**5 + 0*s**3 = 0.
-1, 0, 1
Let w = 11 - 8. Suppose -l + t - 1 = -2, w*l + 3*t = 9. Factor p**2 - 2*p**2 + 1 + 0*p**l.
-(p - 1)*(p + 1)
Let p = -156 - -160. Let y(q) be the first derivative of 0*q**2 - q**3 + 0*q + 3/4*q**p - 1. Find c such that y(c) = 0.
0, 1
Let i(v) = 3*v**2 + 38*v - 20. Let y(s) = -s**2 - 18*s + 10. Let p(w) = 6*i(w) + 14*y(w). What is n in p(n) = 0?
1, 5
Determine j so that 0 + 3/4*j**3 + 0*j - 1/4*j**2 = 0.
0, 1/3
Factor -j**2 - 389*j - 2020 + 471*j + 339.
-(j - 41)**2
Let r be 136/(-34) - 160/(-36). Let 0 + 2/9*c**5 + r*c**4 - 2/9*c + 0*c**3 - 4/9*c**2 = 0. What is c?
-1, 0, 1
Let o(w) = w**2 - 1. Let t(k) = k**2 - 6*k + 2. Let b be t(6). Let s(y) = 9 - 12*y**b - 4*y - 4 + 5. Let l(f) = 10*o(f) + s(f). Factor l(i).
-2*i*(i + 2)
Factor 0 + 2/5*l**2 + 12*l.
2*l*(l + 30)/5
Let o(m) be the second derivative of 6*m**2 - 1/3*m**4 - 6*m + 4/3*m**3 + 0. Let o(j) = 0. Calculate j.
-1, 3
Suppose -25*q + 33*q = 336. Determine v so that -360*v + 212*v + 12*v**2 + 6 + q = 0.
1/3, 12
Let d(b) be the third derivative of b**8/1344 + b**7/60 - 49*b**2 - 1. Determine t, given that d(t) = 0.
-14, 0
Let r(z) be the first derivative of -4*z**3/9 + 8*z**2/3 + 20*z/3 + 44. Factor r(w).
-4*(w - 5)*(w + 1)/3
Suppose -4*v + 330 = -2*c + 322, 4*c + 5*v - 36 = 0. Solve -4/7*r**3 + 0 + 2/7*r + 2/7*r**5 + 0*r**c + 0*r**2 = 0 for r.
-1, 0, 1
Let z = -9/67 + 349/603. Factor 14/9*v**2 - 2*v**3 + z*v + 0.
-2*v*(v - 1)*(9*v + 2)/9
Let v(l) be the third derivative of -l**10/181440 + l**9/45360 + l**8/30240 - 47*l**5/60 + 30*l**2. Let b(f) be the third derivative of v(f). Factor b(h).
-h**2*(h - 2)*(5*h + 2)/6
Let u(c) = -8*c**3 - c**2 + 1. Let j be u(1). Let g = j + 11. What is l in -4*l**g + 56*l**4 + 130*l**5 + 12*l**3 - 32*l**5 = 0?
-2/7, 0
Let d(k) = -3 + 10*k - 12*k - 5*k**2 + k**3 - 2*k**3. Let s(b) = -b**3 - 6*b**2 - 3*b - 4. Let t(r) = -6*d(r) + 5*s(r). Find w such that t(w) = 0.
-1, 2
Let k be ((-144)/(-18) - 603/72) + 54/16. Factor 3/4*o**2 - 3/4*o**k + 0 + 0*o.
-3*o**2*(o - 1)/4
Suppose -19*o - 2 = -116. Let q(p) be the second derivative of 3/20*p**5 + 8*p - 1/2*p**3 + 1/10*p**o - 1/4*p**4 + 0*p**2 + 0. Factor q(r).
3*r*(r - 1)*(r + 1)**2
Let o be -1 - -31*(-2)/(-6). Let h = -38773 + 116344/3. Factor -o*l - 38/3*l**2 - 1/3*l**5 - 8/3*l**4 - 8/3 - h*l**3.
-(l + 1)**2*(l + 2)**3/3
Let x(b) = 16*b**3 - 71*b**2 - 5*b - 5. Let g(s) = 39*s**3 - 177*s**2 - 12*s - 12. Let v(i) = -5*g(i) + 12*x(i). What is t in v(t) = 0?
0, 11
Let x = 41005/2 + -20478. Find l, given that 1440*l + 2732*l**2 + 200 + 504*l**3 + x*l**4 = 0.
-10, -2/7
Let r(o) = 7*o**3 - 7*o**2 - 7*o + 10. Let q(t) = -19*t**3 + 20*t**2 + 21*t - 30. Let p(w) = 3*q(w) + 8*r(w). Factor p(b).
-(b - 5)*(b - 1)*(b + 2)
Let n = -23994 + 23994. Determine r, given that 0 - 5/9*r**4 + n*r + 1/9*r**5 + 8/9*r**3 - 4/9*r**2 = 0.
0, 1, 2
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