or d.
-1
Let i be (3 - 5)*(5 + -1)/(-2). Let -18*x + 3*x**2 + 9*x + i + 27*x + 23 = 0. What is x?
-3
Let o = 16 - 0. Suppose -16*b + 12*b + o = 0. Find u, given that -2*u**4 + b*u**3 + 4*u**4 - 4*u + 2*u**2 - 4*u**4 = 0.
-1, 0, 1, 2
Let o(k) be the third derivative of k**8/336 + 3*k**7/70 + 7*k**6/40 + 19*k**5/60 + k**4/4 - 4*k**2 + 2*k. Factor o(z).
z*(z + 1)**3*(z + 6)
Let q(x) = -x**3 + 35*x**2 - 183*x + 54. Let u be q(6). What is j in u + 3/5*j**3 + 1/5*j**5 + 0*j + 3/5*j**4 + 1/5*j**2 = 0?
-1, 0
Let f(o) be the second derivative of o**6/20 + 33*o**5/40 - 3*o**4/2 + 2*o + 10. Factor f(m).
3*m**2*(m - 1)*(m + 12)/2
Let l(f) be the first derivative of 2*f**3/3 - 30*f**2 - 79. Factor l(t).
2*t*(t - 30)
Let v(r) be the second derivative of -r**6/45 + r**5/3 + 2*r**4/3 - 10*r**3/9 - 11*r**2/3 + 2*r + 3. Solve v(l) = 0.
-1, 1, 11
Let n(p) = 2*p**2 - 3*p + 3. Let y be n(3). Suppose -y = -4*a + 4. Let -4*r + 0*r**3 - 2*r**4 + r**3 - a*r**4 + 6*r**2 + 2*r**5 + r**3 = 0. Calculate r.
-1, 0, 1, 2
Let x = -4067/3 - -1356. Let x*r - 1/6*r**2 - 1/6 = 0. What is r?
1
Let y = 28 - 12. Let s be 8/10*40/y. Find i, given that 3 - s*i**2 + 31*i - 5 - 27*i = 0.
1
Let c be (152/(-4) - 3) + (-6)/(-2). Let h = c + 41. Factor -2/3 + 4*i + 8*i**h - 8/3*i**4 - 26/3*i**2.
-2*(i - 1)**2*(2*i - 1)**2/3
Let s(t) be the first derivative of -4*t**3/7 - 22*t**2/7 - 24*t/7 + 291. Factor s(v).
-4*(v + 3)*(3*v + 2)/7
Let n(r) be the first derivative of -r**4/6 + 82*r**3/9 + 85*r**2/3 + 86*r/3 + 449. Suppose n(h) = 0. Calculate h.
-1, 43
Let u = 181 - 181. Factor -3/5*b**4 + 0 - 3/5*b**5 + u*b + 3/5*b**2 + 3/5*b**3.
-3*b**2*(b - 1)*(b + 1)**2/5
Let v be (-8 - (-399)/49)*28/12. Find w such that 1/3 - 2/3*w + v*w**2 = 0.
1
Let x = -63 + 65. Suppose g = 3*h + x*h - 18, 2*h = 4*g. Factor -2/5*r**h + 4/5*r + 0 + 8/5*r**3 - 2*r**2.
-2*r*(r - 2)*(r - 1)**2/5
Let x = -20220 - -20224. Factor 0 + 32/3*n**2 + 24*n**3 + 64/3*n**x + 4/3*n + 20/3*n**5.
4*n*(n + 1)**3*(5*n + 1)/3
Let i(z) = 2*z**2 - 36*z + 4. Let g be i(18). Let h(x) be the first derivative of 0*x**2 + 2/9*x**3 + 0*x - 1 - 1/4*x**g. Find m, given that h(m) = 0.
0, 2/3
Let w(h) = -2*h - 8. Let u = 16 - 23. Let v be w(u). Factor v - 4*l**2 - l - 7*l + 6.
-4*(l - 1)*(l + 3)
Let d(n) = 2*n**3 - n - 1. Let y(o) = -4*o**3 - 46*o**2 - 159*o - 151. Let m(f) = 2*d(f) + 2*y(f). Suppose m(t) = 0. Calculate t.
-19, -2
Let q(r) be the third derivative of -r**5/30 + r**4/3 + 5*r**3/3 + 116*r**2 + 2. Find w, given that q(w) = 0.
-1, 5
Factor -1/2*m**2 - 25/2 + 13*m.
-(m - 25)*(m - 1)/2
Let o(z) be the first derivative of -z**8/7560 + z**7/1890 + z**6/1620 - z**5/270 - 7*z**3/3 - 2. Let t(p) be the third derivative of o(p). Factor t(y).
-2*y*(y - 2)*(y - 1)*(y + 1)/9
Let g(s) be the second derivative of s**7/168 - s**6/120 - 3*s**5/40 - 33*s + 1. Factor g(z).
z**3*(z - 3)*(z + 2)/4
Let r(i) = -8*i**3 + 475*i**2 + 474*i. Let h(z) = 9*z**3 - 475*z**2 - 472*z. Let w(c) = 3*h(c) + 4*r(c). Factor w(k).
-5*k*(k - 96)*(k + 1)
Suppose -4*r - 22 = -14*k + 12*k, -29 = -4*k + 5*r. Let u(m) be the first derivative of 4*m**2 - 4/3*m**3 + 12*m - k. Factor u(x).
-4*(x - 3)*(x + 1)
Let z(c) = -30 + 2*c + 0*c - 2*c + 2*c. Let f be z(16). Factor -25/2*s**f - 2 + 10*s.
-(5*s - 2)**2/2
Find r such that 146523 + 152*r + 3*r**2 + 282*r + 892*r = 0.
-221
Let h = 544 + -539. Let d(v) be the first derivative of -32/3*v**3 - 14*v**2 - 8*v + 8/5*v**h - 2*v**4 + 2/3*v**6 - 7. Factor d(l).
4*(l - 2)*(l + 1)**4
What is h in 22*h**3 + 60*h**2 + 6*h**3 + 64*h - 32*h**3 = 0?
-1, 0, 16
Let y(x) be the first derivative of -2*x**5/5 - 4*x**4 - 46*x**3/3 - 28*x**2 - 24*x + 662. What is v in y(v) = 0?
-3, -2, -1
Let z(i) be the second derivative of i**6/30 - 9*i. Let a(f) = 5*f**4 - 5*f**3 - 6*f**2 + 4*f + 8. Let b(s) = -a(s) + 6*z(s). What is k in b(k) = 0?
-2, 1
Let o = 23864/63 - 2650/7. Factor -o*l**3 + 4/9*l**2 - 4/9 + 2/9*l.
-2*(l - 2)*(l - 1)*(l + 1)/9
Let k(m) = 2*m**2 + 6*m + 2. Let i(l) = -2*l - 3. Let g(r) = -3*r - 4. Let c(d) = 3*g(d) - 4*i(d). Let n(z) = 2*c(z) + k(z). Suppose n(q) = 0. What is q?
-1
Let i(l) be the third derivative of l**6/660 + 3*l**5/110 + 2*l**4/11 + 20*l**3/33 - 13*l**2. Factor i(k).
2*(k + 2)**2*(k + 5)/11
Let o(r) = 32*r**2 - 353*r + 94. Let l(u) = 125*u**2 - 1415*u + 375. Let j(x) = 4*l(x) - 15*o(x). Factor j(s).
5*(s - 18)*(4*s - 1)
Suppose 5*b**2 - 16*b**2 - 6*b - 4*b**3 + 13*b**4 - 12*b**4 = 0. What is b?
-1, 0, 6
Let t = 39 - 37. Factor 10 + 0*d**2 + 2 - 16*d**3 + 16*d - 12*d**4 - 8*d**t + 8*d**4.
-4*(d - 1)*(d + 1)**2*(d + 3)
Let y(i) be the third derivative of i**8/336 - 2*i**7/21 + 5*i**6/4 - 25*i**5/3 + 625*i**4/24 + 206*i**2 + i. Determine b, given that y(b) = 0.
0, 5
Factor -1/3*a**2 + 10/3*a - 16/3.
-(a - 8)*(a - 2)/3
Let d be 0 - 1 - (-1)/2*6. Suppose -3*t - 5*g = -d, 3*g + 10 = 2*t - 4. Suppose 2/9*h**t + 0 + 0*h - 4/9*h**2 - 2/9*h**3 = 0. Calculate h.
-1, 0, 2
Suppose 0 = 15*i - 12*i - 141. Let c**2 + 45*c - 94*c + i*c = 0. Calculate c.
0, 2
Let h be (-10)/(-8) + 3804/5072. Factor -6/13*g + 2/13*g**h + 0.
2*g*(g - 3)/13
Solve -6/5*y**3 + 0*y**2 + 6/5*y + 3/5 - 3/5*y**4 = 0 for y.
-1, 1
Let m(t) = -t**2 - 594*t - 4107. Let h be m(-7). Let -8/7*c + 8/7 + 2/7*c**4 - 2/7*c**5 - 10/7*c**h + 10/7*c**3 = 0. Calculate c.
-2, -1, 1, 2
Let i(q) be the second derivative of q**6/285 + 13*q**5/190 + q**4/2 + 5*q**3/3 + 50*q**2/19 + 724*q. Find z, given that i(z) = 0.
-5, -2, -1
Determine u so that 104*u**2 + u**5 - 10*u**5 - 144 + 11*u**5 - u**5 + 72*u**3 + 15*u**4 - 48*u = 0.
-6, -2, 1
Let z(l) be the first derivative of 2*l**5/25 - 4*l**4/5 + 44*l**3/15 - 24*l**2/5 + 18*l/5 + 278. Let z(s) = 0. Calculate s.
1, 3
Let k be 5/((140/(-8))/(-7)). Let p be (-5 - (-44)/8)/k. Factor 0*u - p*u**2 + 1/4.
-(u - 1)*(u + 1)/4
Let v(r) = 175*r**2 + 4265*r + 4070. Let x(h) = 25*h**2 + 609*h + 581. Let p(k) = 3*v(k) - 20*x(k). Find f, given that p(f) = 0.
-118/5, -1
Let s = -3 - -25. Let p be s/6 + (-2)/3. What is l in 24*l + 0*l**4 - 1 - 39*l**2 - 6*l - 2 - 12*l**4 + 36*l**p = 0?
1/2, 1
Let a(g) = 45*g - 221. Let l be a(5). Let 2/7*w**l - 2/7*w**3 + 0 + 0*w**2 + 0*w = 0. What is w?
0, 1
Let p(v) be the first derivative of 9*v**4/4 + 11*v**3 + 18*v**2 + 12*v - 89. What is l in p(l) = 0?
-2, -1, -2/3
Suppose -6*w + 10*w = 11*w. Let g(m) be the third derivative of 0*m**4 - 1/504*m**8 - 1/360*m**6 + w*m**5 + 0 + 0*m - 1/210*m**7 + 0*m**3 - 2*m**2. Factor g(d).
-d**3*(d + 1)*(2*d + 1)/3
Let c(x) be the second derivative of -x**6/15 + x**5/10 - 271*x. Suppose c(f) = 0. What is f?
0, 1
Let l be 210/336*30/25. Suppose 0 + l*h - 1/2*h**2 - 1/4*h**3 = 0. Calculate h.
-3, 0, 1
Let g(z) = 284*z**3 - 452*z**2 + 202*z - 34. Let s(l) = 95*l**3 - 151*l**2 + 67*l - 11. Let n = -36 - -39. Let k(h) = n*g(h) - 10*s(h). Solve k(w) = 0.
2/7, 1
Let v be (-54)/72 - 25/4 - 352/(-33). Solve -1/3 + 25/3*i**3 - 35/3*i**2 + v*i = 0.
1/5, 1
Suppose 5*u = -3*q + 19, 5*q - 14 + 5 = 3*u. Let d(m) = m**2 - 10*m + 7. Let g(p) = -p + 1. Let l(z) = q*d(z) - 21*g(z). Factor l(a).
3*a*(a - 3)
Let k(f) be the third derivative of f**9/7560 - f**8/1400 + f**7/700 - f**6/900 - 2*f**3/3 + 11*f**2. Let s(t) be the first derivative of k(t). Solve s(g) = 0.
0, 1
Let q(d) be the first derivative of d**5/60 - d**4/12 + d**3/6 + 6*d**2 - 15. Let c(z) be the second derivative of q(z). Factor c(i).
(i - 1)**2
Suppose -3*d + 3 = -4*d + 5*i, i = -4*d + 9. Let w(u) = -4*u**3 - 23*u**2 + 2*u - 18. Let p be w(-6). Determine t, given that 3/2*t**d - p*t + 9/2 = 0.
1, 3
Let o(n) be the first derivative of -5*n**7/42 + n**6/3 - 5*n**4/6 + 5*n**3/6 - 17*n - 5. Let w(x) be the first derivative of o(x). Solve w(f) = 0.
-1, 0, 1
Let w(l) be the first derivative of l**3/6 + 33*l**2/4 + 31*l + 55. Factor w(h).
(h + 2)*(h + 31)/2
Factor -7/4 - 1/4*t**2 - 2*t.
-(t + 1)*(t + 7)/4
Let o(z) be the third derivative of -1/40*z**5 - 1/24*z**4 + 2*z**2 + 5/6*z**3 - 1/180*z**6 + 0 + 0*z. Let a(l) be the first derivative of o(l). Factor a(p).
-(p + 1)*(2*p + 1)
Let n(c) be the second derivative of -c**6/80 + c**5/40 + c**4/16 - c**3/4 - c**2 + 3*c. Let m(i) be the first derivative of n(i). Find p such that m(p) = 0.
-1, 1
Suppose 7*w - 12 = 2*t + 3*w, -9 = -2*t - 3*w. Let k(q) be the third derivative of 11*q**2 + t*q**4 + 