0. Factor s(l).
2*(l - 3)*(7*l - 2)/3
Determine v so that 122/5*v**2 + 0 + 1/5*v**5 + 51/5*v + 92/5*v**3 + 22/5*v**4 = 0.
-17, -3, -1, 0
Suppose 0*g - 5*g - 2*y = -16, g - 2*y + 4 = 0. What is s in -2 + 7*s + 3*s - 6*s**g - 24*s + 6*s = 0?
-1, -1/3
Let l = 271/7 - 116/3. Let h(s) be the second derivative of -21*s + l*s**4 + 0 + 32/7*s**2 + 16/21*s**3. Factor h(k).
4*(k + 4)**2/7
Let n(z) = 5*z**3 + 21*z**2 - 26. Suppose -15*k + 9*k = 6. Let i(y) = -y**2 + 1. Let w(t) = k*n(t) - 6*i(t). Determine r so that w(r) = 0.
-2, 1
Let z(u) = u**5 + 2*u**4 - u - 3. Let h(s) = 6*s**5 - 14*s**4 + 68*s**3 + 16*s**2 - 324*s + 244. Let d(a) = -h(a) + 4*z(a). Factor d(r).
-2*(r - 4)**3*(r - 1)*(r + 2)
Suppose 2/5*f**4 + 21/5 - 47/5*f**2 - 7/5*f**3 - 17/5*f = 0. Calculate f.
-3, -1, 1/2, 7
Let r be ((-9)/21)/((-25)/(-21) - 8/6). Let j(q) be the first derivative of 1/24*q**r + 6 + 1/8*q - 1/8*q**2. Factor j(w).
(w - 1)**2/8
Let s(d) = 3*d**5 - d**4 + 7*d**3 + 7*d**2 + 2*d. Let k(z) = -41*z**5 + 14*z**4 - 92*z**3 - 93*z**2 - 27*z. Let x(o) = 2*k(o) + 27*s(o). Factor x(m).
-m**2*(m - 3)*(m + 1)**2
Let z = 1/547158 + 1094311/2735790. Find d, given that 62/5*d**2 + z*d**3 + 448/5*d - 512/5 = 0.
-16, 1
Let a(k) be the first derivative of -k**3/3 - 3*k**2 - 7*k - 10. Let j be a(-3). Factor 57 - 8*n**3 + n**3 + 11*n**3 - 16*n**j + 15 - 12*n.
4*(n - 3)**2*(n + 2)
Suppose 0 = 823*a - 6084 - 6966 + 705. Suppose 75/2 + 3/2*r**2 + a*r = 0. What is r?
-5
Let z = -2779/4 + 41689/60. Let p(n) be the third derivative of -1/2*n**4 + 4/3*n**3 + z*n**5 - 16*n**2 + 0*n + 0. Factor p(w).
4*(w - 2)*(w - 1)
Let z = -2304 + 2311. Let u(s) be the third derivative of -1/3*s**5 - 1/30*s**z + 1/6*s**4 + 0*s + 23/120*s**6 + 0*s**3 + 0 + 11*s**2. Factor u(c).
-c*(c - 2)*(c - 1)*(7*c - 2)
Let t(v) be the second derivative of v**6/1260 + v**5/210 + v**3/3 + v**2/2 - 63*v. Let n(d) be the second derivative of t(d). Let n(z) = 0. What is z?
-2, 0
Find j such that 0 + 206/11*j + 2/11*j**2 = 0.
-103, 0
Let s = 410 - 438. Let a be (-4 + s/(-10))*(-15)/21. Find h, given that -4/7*h - 2/7*h**3 + 0 - a*h**2 = 0.
-2, -1, 0
Let 2/3*q**2 + 4/5*q**3 + 2/15*q**4 - 8/5*q + 0 = 0. Calculate q.
-4, -3, 0, 1
Factor 2/15*y**2 - 5348/15*y + 3575138/15.
2*(y - 1337)**2/15
Let c(x) be the first derivative of -x**2 + 22/3*x**4 - 80 - 17/9*x**3 + 0*x. Find f, given that c(f) = 0.
-2/11, 0, 3/8
Suppose 15*d = -0*d + 1410. Suppose d = 11*v - 5. Solve 9*r**2 - v*r**2 + 4*r**2 - 6 + 2 = 0.
-1, 1
Suppose 6507*u**2 + 6633*u**2 + 5400*u + 2417*u**3 - 1022*u**3 + 6*u**5 + 3111*u**3 - 345*u**4 = 0. What is u?
-2, -1/2, 0, 30
Determine g, given that -483/5*g**3 + 0 + 33/5*g**4 - 708/5*g**2 - 192/5*g = 0.
-1, -4/11, 0, 16
Let n be (-87)/(-63) - (10/7 - (2483/(-91) + 28)). Factor 0 - 118/3*b - n*b**2.
-2*b*(b + 59)/3
Let f(s) be the third derivative of s**5/60 - s**2. Let l be 1 + (0 + 0)/(-1). Let n(m) = 6*m**2 - 12*m + 4. Let x(k) = l*n(k) - f(k). What is g in x(g) = 0?
2/5, 2
Let x(w) be the second derivative of -w**6/105 - 23*w**5/35 - 6*w**4 - 488*w**3/21 - 320*w**2/7 + 1129*w. Solve x(s) = 0 for s.
-40, -2
Let j(o) be the second derivative of -o**4/72 + 53*o**3/2 - 75843*o**2/4 + 59*o - 3. Factor j(i).
-(i - 477)**2/6
Let w = -3/6724 + 16819/20172. Let r(k) be the first derivative of 1/9*k**3 + 2*k - 11 - w*k**2. Factor r(b).
(b - 3)*(b - 2)/3
Let g(c) = -5*c**3 + 195*c**2 + 210*c - 424. Let u(h) = -2*h**3 + 64*h**2 + 70*h - 141. Let q(x) = 3*g(x) - 8*u(x). Factor q(t).
(t - 1)*(t + 2)*(t + 72)
Let r(g) = 58*g**2 + 683*g + 3359. Let q(a) = 17*a**2 + 195*a + 960. Let n(i) = 17*q(i) - 5*r(i). Factor n(k).
-(k + 5)*(k + 95)
Factor -3072*r**2 - 864*r - 243/4.
-3*(64*r + 9)**2/4
Let g = 958 + -941. Let v be g/17*0/(-1). Factor 0*d + v + 2/3*d**3 - 4/9*d**2 - 2/9*d**4.
-2*d**2*(d - 2)*(d - 1)/9
Suppose -180 + 134 = 207*r - 667. Factor 2/5*v**2 - 1/5*v**4 - 2/5*v**r + 1/5*v - 1/5 + 1/5*v**5.
(v - 1)**3*(v + 1)**2/5
Let j(n) = -n**3 - 7*n**2 - 5*n - 55. Let i be j(-7). Let o(g) = -g - 15. Let w be o(i). Let 4/7*r**3 + 0*r**2 - 4/7*r**w + 0 + 0*r**4 + 0*r = 0. Calculate r.
-1, 0, 1
Suppose 0 = -406*j + 420*j + 23198. Let l = j + 1661. Suppose -3/2*v**2 + 11/6*v - 2/3 + 1/6*v**3 + 1/6*v**l = 0. Calculate v.
-4, 1
Let f(i) be the second derivative of -i**7/105 + 2*i**6/15 - 14*i**5/25 - 4*i**4/15 + 128*i**3/15 - 128*i**2/5 + 890*i. Suppose f(l) = 0. Calculate l.
-2, 2, 4
Let j(p) be the first derivative of 80 - 32*p**3 + 18*p**2 + 0*p - 21/5*p**5 - 99/4*p**4. What is l in j(l) = 0?
-3, -2, 0, 2/7
Let c(g) be the first derivative of -g**4/40 + 86*g**3/15 - 352*g**2 - 15488*g/5 + 3899. Factor c(m).
-(m - 88)**2*(m + 4)/10
Let q(c) be the second derivative of 12*c - 2/9*c**4 - 8 + 1/90*c**5 + 5/3*c**3 - 50/9*c**2. Factor q(h).
2*(h - 5)**2*(h - 2)/9
Suppose 2*o = -o + 6. Suppose -2*b + 2 = t - 2, -2*t + o = -2*b. Factor -3*p**3 + 0*p**3 + 507*p**2 - 519*p**t - 12*p.
-3*p*(p + 2)**2
Let y(b) = -b - 11. Let l(n) = n. Let u(v) = -2*l(v) - y(v). Let k be u(7). Determine s, given that 2*s**3 - 2*s**2 - 4*s**4 - 2*s**k - 3*s + 8*s**4 + s = 0.
-1, 0, 1
Let r be ((-224)/(-9))/4 - 70/315. Let y be (4 - 5)*r/(-45). Let 0*l**3 - 4/15*l**2 + y + 0*l + 2/15*l**4 = 0. Calculate l.
-1, 1
Suppose -2*a - 20 = -3*r - 2*r, a - 8 = -2*r. Suppose 2*s + f + 0*f - 349 = a, 4*s - 695 = -f. What is y in 17*y + 5*y**3 - 6*y + 9*y - 161 - 23*y**2 + s = 0?
-2/5, 2, 3
Suppose 1/7*u**2 + 16641/7 + 258/7*u = 0. What is u?
-129
Let q(l) be the first derivative of -l**4/4 - 4*l**3/3 - 2*l**2 - 11*l + 199. Let c be q(-4). Factor 0*g - 6/7*g**3 + 2/7*g**c + 0*g**4 + 4/7*g**2 + 0.
2*g**2*(g - 1)**2*(g + 2)/7
Suppose 4*s = -12, 33 = 8*g + 9*s - 12*s. Let q(f) be the first derivative of 2/7*f**2 + 9 + 0*f + 1/14*f**4 - 1/35*f**5 + 1/3*f**g. Factor q(t).
-t*(t - 4)*(t + 1)**2/7
Suppose z - 3*z + u = 0, -7*u + 3*u + 21 = -z. Factor -16/3*i - 2*i**2 - 2/9*i**z - 32/9.
-2*(i + 1)*(i + 4)**2/9
Let c(k) = 3*k**4 + 7*k**3 - 14*k**2 - 10*k + 22. Let t(p) = -30*p**4 - 72*p**3 + 138*p**2 + 99*p - 219. Let o(d) = -21*c(d) - 2*t(d). Factor o(s).
-3*(s - 2)*(s - 1)*(s + 2)**2
Let b(k) be the first derivative of -3*k**5/5 + 9*k**4 - 74*k**3 + 387*k**2/2 - 225*k - 219. Let d(j) = j**3 + j + 1. Let l(s) = b(s) + 9*d(s). Factor l(p).
-3*(p - 6)**2*(p - 2)*(p - 1)
Find w such that 92/7*w**2 - 66/7*w + 18/7 - 60/7*w**3 - 2/7*w**5 + 18/7*w**4 = 0.
1, 3
Let u be (-638)/(-29) + -19 + 1. Suppose 413/9*c**3 - 146/3*c**2 - 356/9*c - 49/9*c**u - 56/9 = 0. What is c?
-2/7, 2, 7
Let y(z) = -386*z + 96114. Let n be y(249). Factor 0*x + 2/7*x**2 - 1/7*x**3 + n.
-x**2*(x - 2)/7
Factor 209952/7 + 1296/7*s + 2/7*s**2.
2*(s + 324)**2/7
Let p(z) = 6*z**3 - 11*z**2 + 18*z - 1. Let a(u) = 5*u**3 - 11*u**2 + 18*u - 3. Let n(k) = 8*a(k) - 6*p(k). Factor n(g).
2*(g - 3)*(g - 1)*(2*g - 3)
Let u be (-7)/(-140)*-172 + 2/(-5). Let d be (18/(-28))/u*(-3 - -10). Let 0 + d*i**2 + 0*i = 0. Calculate i.
0
Let l(d) be the third derivative of -163*d**6/12 - 217*d**5/4 - 135*d**4/2 + 5*d**3/6 + 250*d**2 - 3. Find j, given that l(j) = 0.
-1, 1/326
Let s(i) be the third derivative of i**5/270 + 755*i**4/27 + 2280100*i**3/27 - 5622*i**2. Factor s(c).
2*(c + 1510)**2/9
Factor 2/3 + 748/9*o**2 + 754/9*o.
2*(o + 1)*(374*o + 3)/9
Let f(n) be the second derivative of -n**7/1260 - n**6/360 + 25*n**4/12 - 2*n + 81. Let h(k) be the third derivative of f(k). Factor h(x).
-2*x*(x + 1)
Suppose 44*o - 60 = 32*o. Find l, given that 6*l**5 + l**3 - 17*l**o - 6*l**4 + 13*l**5 + 3*l**3 = 0.
0, 1, 2
Let u(m) = -m**2 + 55*m + 2552. Let z be u(-30). Let v be ((-3)/12)/(-2*1). Let -1/8*f**z + 1/4*f - v = 0. What is f?
1
Solve 337/4*c**2 + 39/2*c**4 - 55/4 - 9/8*c**5 - 23/8*c - 86*c**3 = 0.
-1/3, 2/3, 1, 5, 11
Let u be (-3938)/2148*4/(-44). Solve 1/3*g + u*g**3 + 4/3 - 5/6*g**2 = 0 for g.
-1, 2, 4
Let a = 252877 + -252875. Solve -16*z - 31/2 - 1/2*z**a = 0.
-31, -1
Let j(r) = -264*r + 83429. Let n be j(316). Find v such that -3/4*v**2 + 1/4*v**n - 5/4*v**4 + 0 + 7/4*v**3 + 0*v = 0.
0, 1, 3
Let n(v) be the first derivative of -v**4/4 + 7*v**3/3 - 11*v**2/2 - v + 43. Let m be n(3). What is c in 0 - 8/3*c - 2/3*c**m = 0?
-4, 0
Let a = -1207 - -1212. Let p be a - 30/4 - -3. Determine k, given that p*k**2 + 2/3*k + 0 - 1/6*k**3 = 0.
-1, 0, 4
Let g