 Let q(g) = 4*g**4 + 14*g**3 - 3*g**2 + 20*g - 8. Let y(j) = -9*i(j) + 2*q(j). Factor y(r).
-(r - 1)**3*(r + 2)
Solve -5877/4*g**2 - 9 - 1656*g**3 - 1587/4*g**4 - 219*g = 0 for g.
-3, -1, -2/23
Suppose 0 - 22/7*h + 2/7*h**3 - 20/7*h**2 = 0. What is h?
-1, 0, 11
Let n(x) = x**3 + 74*x**2 + 119*x - 34. Let q(d) = -4*d**3 - 222*d**2 - 356*d + 100. Let m(l) = 11*n(l) + 4*q(l). Factor m(j).
-(j + 2)*(j + 13)*(5*j - 1)
Let p(l) be the third derivative of -2*l**2 - 1/504*l**8 + 0*l**3 + 1/60*l**6 - 2/315*l**7 + 2/45*l**5 + 0*l - 1/9*l**4 - 18. Find t, given that p(t) = 0.
-2, 0, 1
Let h(x) be the third derivative of -x**8/1008 - x**7/35 - 31*x**6/360 + 37*x**5/30 + 35*x**4/18 - 100*x**3/3 + 85*x**2 - 7. Let h(g) = 0. What is g?
-15, -5, -2, 2
Let v be 129 + (196/4)/7. Let d be v/80 - (-1)/(-2). Factor -4/5*k - 2/5*k**2 + d.
-2*(k - 1)*(k + 3)/5
Let k = -127 + 145. Factor 4*o**2 + k + 5*o - 31*o + 2*o + 2.
4*(o - 5)*(o - 1)
Let q(i) be the third derivative of -3*i**5/160 - 1055*i**4/64 + 22*i**3 - 464*i**2 + i. What is a in q(a) = 0?
-352, 1/3
Let g(q) be the first derivative of -q**5/420 + 5*q**4/168 - 2*q**3/21 + 38*q**2 - 213. Let b(a) be the second derivative of g(a). Factor b(f).
-(f - 4)*(f - 1)/7
Let z be ((-552)/40 + 14)/1. Let h(p) be the second derivative of 0 + 0*p**2 - z*p**3 - 10*p - 1/20*p**4. Let h(c) = 0. What is c?
-2, 0
Suppose 8*i + 56 = 5*t, 108*t + i + 7 = 113*t. Factor -2/11*v**4 + 24/11*v**3 + t*v + 0 - 72/11*v**2.
-2*v**2*(v - 6)**2/11
Suppose 34 = 3*u - 4*m, 5*m - 7 + 33 = u. Let l be (315/980)/(u/8). Let -l*p**4 - 6/7*p**3 - 3/7*p**2 + 0*p + 0 = 0. Calculate p.
-1, 0
Let u be (-8330)/(-3675) + (-4)/15 - (-42)/9. Find t, given that -1/3*t**3 + 4*t + u - 3*t**2 = 0.
-10, -1, 2
Let y be -14 - ((-3)/(3/(-89)))/(-6). Let p = -1 + 1. Let y*m**2 - 5/3*m + p = 0. Calculate m.
0, 2
Let v be (12/20)/((-6)/3932). Let d = v + 395. Factor -6/5 - d*s - 3/5*s**2.
-3*(s + 1)*(s + 2)/5
Find w, given that 10468*w + 2*w**2 + 5086*w + 32467567 + 1062*w + 2043865 = 0.
-4154
Let x(c) = -7*c**2 - 7928*c - 15745027. Let n(a) = -6*a**2 + 8*a - 3. Let t(p) = 3*n(p) - 3*x(p). Find i such that t(i) = 0.
-3968
Let b(g) = 2*g**4 - g**3 + 13*g**2 + g - 8. Let j(s) be the first derivative of s**5/5 + 7*s**3/3 - 4*s - 12. Let v(p) = -4*b(p) + 7*j(p). Factor v(o).
-(o - 2)**2*(o - 1)*(o + 1)
Let r(f) be the third derivative of -f**5/75 - 31*f**4/30 - 116*f**3/15 + 1796*f**2 + 1. Find l such that r(l) = 0.
-29, -2
Let o(y) be the first derivative of -y**6/2 + 471*y**5/5 - 465*y**4/2 - 2*y**3 + 933*y**2/2 - 465*y + 4915. Find x, given that o(x) = 0.
-1, 1, 155
Let r(l) be the first derivative of 544/3*l**3 + 65 + 123*l**2 + 96*l**4 + 36*l. Factor r(d).
2*(3*d + 2)*(8*d + 3)**2
Let h(n) = -3*n**3 + 9 - 29 + 23 - 6*n**2 + 36*n. Let y(o) = 0*o - 3*o + 1 + 4*o + 0*o. Let v(g) = h(g) - 15*y(g). Suppose v(m) = 0. What is m?
-4, 1
Let f(t) be the third derivative of -t**7/770 + 5*t**6/264 + 17*t**5/132 + 35*t**4/264 - t**3/3 + 160*t**2 + 4*t. Solve f(b) = 0 for b.
-2, -1, 1/3, 11
Let k be (-14 + (-14)/(336/(-328)))/((-4)/36). Determine z, given that -1/6*z**k + 0 + 0*z + z**2 = 0.
0, 6
Let b(g) be the first derivative of -105*g**4/2 - 722*g**3/3 + 230*g**2 - 48*g - 1929. Suppose b(f) = 0. What is f?
-4, 2/15, 3/7
Let i(v) = 270*v + 106. Let d be i(-2). Let x = -2158/5 - d. Determine u so that -8*u**2 - x*u**3 - 4/5*u + 24/5 = 0.
-3, -1, 2/3
Let w(v) be the third derivative of v**8/11200 - v**7/1050 + v**6/300 - 47*v**4/24 - 24*v**2. Let u(b) be the second derivative of w(b). Factor u(g).
3*g*(g - 2)**2/5
Factor 2242*a**2 - 3741*a + 63*a**3 - 325*a**3 - a**4 - 194*a**2 - 323*a + 2*a**4.
a*(a - 254)*(a - 4)**2
Let p(a) be the second derivative of 3/4*a**4 + a + 18*a**2 - 8*a**3 + 3/20*a**5 + 29. Factor p(o).
3*(o - 2)*(o - 1)*(o + 6)
Let z be 8 + -13 + -8 - (4 - 21). Solve -180*i**z - 10*i + 82*i**2 + 81/2*i**5 + 0 - 257/2*i**3 = 0.
-1, 0, 2/9, 5
Let y = -3995 + 4024. Let r(v) be the third derivative of 1/16*v**4 - 3/160*v**5 + y*v**2 - 1/320*v**6 + 0*v + 0*v**3 + 0. Determine o, given that r(o) = 0.
-4, 0, 1
Let v(p) be the first derivative of -2*p**3/27 + 46*p**2/9 - 1601. What is d in v(d) = 0?
0, 46
Let r(o) = -3*o + 75. Let h be r(24). Find j such that 4*j**h + 63*j + 17*j**2 - 3*j**3 + 192*j + 16*j**2 - 289 = 0.
-17, 1
Let n = 11854/1348107 - 1/47302. Let r(w) be the third derivative of 1/1995*w**7 + 0*w - 1/114*w**4 - 18*w**2 + 0 - 1/285*w**6 + n*w**5 + 0*w**3. Factor r(g).
2*g*(g - 2)*(g - 1)**2/19
Let c(j) = -708*j + 0 + 1 + 709*j + j**2. Let z(d) = 8*d**2 + 7*d + 12. Let a(w) = 18*c(w) - 2*z(w). Determine q, given that a(q) = 0.
-3, 1
Determine r so that -30/19*r**2 + 14/19*r**3 - 2/19*r**4 - 8/19 + 26/19*r = 0.
1, 4
Let d = 859706/5 + -173211. Let g = d + 1270. Let 4/5 - g*w**2 - 3/5*w = 0. Calculate w.
-4, 1
Let f(r) = r**2 + 15*r + 58. Let y be f(-7). Factor -s**2 - 6 - s**3 - 26*s + 5*s**2 + y + 27*s.
-(s - 4)*(s - 1)*(s + 1)
Let q be (-12)/28 - 134/14. Let c be (-45)/q - (6/4 + -1). Find g, given that -195*g**2 + g**5 - g - c*g**4 + 2*g**4 + 197*g**2 = 0.
-1, 0, 1
Let -697*y**2 + 28236 - 3295*y**2 + 1993*y - 28485 + 16*y**3 = 0. Calculate y.
1/4, 249
Let x(u) = -u**3 + 6*u**2 - 5*u - 1. Let p be x(4). Let b = 16 - p. Suppose -120 + 120 - a**5 - 2*a**4 - 2*a**3 + 5*a**b = 0. Calculate a.
-1/2, 0, 1
Let w = 19261 - 19261. Let z(y) be the third derivative of 0 - 2/21*y**4 + 3/70*y**5 + 0*y**3 + 40*y**2 - 1/420*y**6 + w*y. Let z(k) = 0. What is k?
0, 1, 8
Let t = -2775 + 69507/25. Let l = t - 239/50. Determine h, given that -5/2 + 11/2*h + l*h**3 - 7/2*h**2 = 0.
1, 5
Let -1/2*s**2 + 31 - 61/2*s = 0. Calculate s.
-62, 1
Determine b, given that 362*b**3 - 385*b**3 - 326*b + 123*b + 176*b**2 + b**4 - 245*b = 0.
0, 7, 8
Let w(r) = -7 + 23 + 1 - 15*r - 18*r + 34*r. Let l be w(-17). Determine h, given that l*h - 8/7 + 2/7*h**2 = 0.
-2, 2
Suppose 5*g = 3*p + 74, -p + 22 - 4 = g. Suppose -3*i + b + 4 = 0, -5*i + 4*b + g = -4*i. Factor z**2 + 0 + i - 15*z + 11*z.
z*(z - 4)
Find h, given that 8/3*h**2 + 224/3 - 676/3*h - 16/3*h**4 - 16/3*h**5 + 908/3*h**3 = 0.
-8, -1, 1/2, 7
Find f such that 155*f - 12*f**2 - 5*f**2 - 95*f + 14*f**2 - 192 = 0.
4, 16
Let n(h) be the third derivative of h**7/1155 - 37*h**6/220 - 56*h**5/165 - 651*h**2. Solve n(a) = 0 for a.
-1, 0, 112
Let o(u) be the third derivative of 11*u**7/280 - u**6/48 - u**5/20 - 20*u**4/3 - 5*u**2 + u. Let g(a) be the second derivative of o(a). Factor g(j).
3*(3*j - 1)*(11*j + 2)
Let g(v) be the third derivative of v**5/6 - 58*v**4 - 1412*v**3/3 - v**2 - 3430. Suppose g(m) = 0. Calculate m.
-2, 706/5
Factor -4*q + 33 - 1/4*q**2.
-(q - 6)*(q + 22)/4
Suppose -5*j - 7 = -5*f - 27, 4*f + 16 = 2*j. Let o(x) be the third derivative of 1/15*x**5 + j - 16*x**2 + 0*x + 10/3*x**3 - x**4. Factor o(u).
4*(u - 5)*(u - 1)
Let a(m) = m**2 - 9*m - 18. Suppose 0 = 2*h - 1 + 3. Let t be h - 9/6*-2. Let d(i) = -10*i - 18. Let s(l) = t*a(l) - 3*d(l). Factor s(k).
2*(k + 3)**2
Let o = -42547/120 + 1773/5. Let y(t) be the third derivative of -o*t**5 - 7*t**2 + 1/80*t**6 - 1/12*t**4 + 1/3*t**3 + 0 + 0*t. Solve y(j) = 0 for j.
-1, 2/3, 2
Let h(w) be the second derivative of 7/10*w**3 - 12/5*w**2 + 1/20*w**4 - 22*w + 0. Determine s, given that h(s) = 0.
-8, 1
Suppose 9/2*z**4 + 552*z - 159/2*z**3 - 237*z**2 - 240 = 0. Calculate z.
-4, 2/3, 1, 20
Let n(k) = -12*k**4 + 20*k**3 + 3*k**2 - 21*k + 10. Let z(a) = -a**3 + 1. Let w(m) = -4*m + 51. Let o be w(13). Let p(r) = o*n(r) + z(r). Factor p(f).
3*(f - 1)**2*(f + 1)*(4*f - 3)
Find p, given that -363/2 + 2175/4*p + 3/4*p**4 - 2169/4*p**2 + 717/4*p**3 = 0.
-242, 1
Let z be -10 + ((-2343)/342 - (-29)/(-58))*-6. Factor -z + 72/19*n - 2/19*n**2.
-2*(n - 18)**2/19
Let q(c) = 3*c - 4. Let m(i) = 23*i + 24. Let a(x) = m(x) + 6*q(x). Let w be a(0). Find u, given that 3/4*u**2 + 1/4*u + w = 0.
-1/3, 0
Let -1/11*d**2 - 364/11 + 184/11*d = 0. What is d?
2, 182
Let u(a) = 6*a**3 - 5*a**2 + 66*a - 190. Let k be u(3). Suppose -k*y + 101*y = -48. Factor 15/2*w**y + 25/6*w**3 + 4*w + 2/3.
(w + 1)*(5*w + 2)**2/6
Let t(g) be the first derivative of 7*g**4/4 - 272*g**3 + 23187*g**2/2 + 34810*g + 1803. Factor t(h).
(h - 59)**2*(7*h + 10)
Factor -3*m**3 - 3 - 10*m + 2044*m**2 + m - 2053*m**2.
-3*(m + 1)**3