 Let x(k) = 2*k**2 - 2*k. Let l(i) = g*o(i) - 6*x(i). Factor l(u).
4*u*(u - 9)*(u + 3)
Let s = -280 + 284. Determine m, given that 115*m**3 - 14*m**2 + 4*m**5 - 11*m**s - 103*m**3 - 27*m**4 + 6*m**2 + 62*m**2 = 0.
-1, 0, 3/2, 9
Let c be 1195/205 + -2 + -5. Let f = c + 301/82. Find d such that -1/2 - f*d**2 - 2*d - d**3 = 0.
-1, -1/2
Find t, given that -4*t**2 - 799*t + 3*t**2 + 421 + 272 - 159 - 2*t**2 = 0.
-267, 2/3
Let i(g) = -10*g + 84. Let q be i(8). Factor 111*k**3 + 5*k**2 + 8*k + 118*k**3 + q - 228*k**3.
(k + 1)*(k + 2)**2
Let s(h) be the first derivative of -h**5/150 + h**4/30 - h**3/15 + 35*h**2/2 + 44. Let t(r) be the second derivative of s(r). Factor t(p).
-2*(p - 1)**2/5
Let l(g) be the first derivative of 110/3*g**2 + 88 + 40*g - 1/3*g**5 + 5/12*g**4 + 110/9*g**3. Find m such that l(m) = 0.
-2, -1, 6
Factor 2087*l + 2*l**2 + 1442*l + 3188934 + 991*l - 635134.
2*(l + 1130)**2
Suppose -66*t = 242*t + 91*t. Let d(o) be the second derivative of -1/6*o**6 + 0*o**2 + t*o**5 + 0*o**3 + 0 + 0*o**4 - 11*o. Determine q so that d(q) = 0.
0
Let o(k) be the second derivative of k**4/3 + 2660*k**3/3 + 884450*k**2 + 5540*k. Let o(c) = 0. What is c?
-665
Let h(x) = -505*x**4 + 1595*x**3 - 5730*x**2 + 7075*x - 2840. Let j(z) = 45*z**4 - 145*z**3 + 521*z**2 - 643*z + 258. Let r(l) = 4*h(l) + 45*j(l). Factor r(y).
5*(y - 25)*(y - 2)*(y - 1)**2
Let n(u) = -3*u - 75. Let m be n(-26). Factor -33*z**4 - 42*z**4 + 74*z**4 + z**2 - 2*z + 2*z**m.
-z*(z - 2)*(z - 1)*(z + 1)
Let t(r) be the third derivative of -2*r**7/105 + 2*r**6/15 + 7*r**5/15 - 17*r**4/3 + 16*r**3 + 20*r**2 - 18. What is p in t(p) = 0?
-3, 1, 2, 4
Let m(x) be the first derivative of -3*x**4/20 + 92*x**3/5 - 807*x**2/10 + 534*x/5 - 1208. Factor m(t).
-3*(t - 89)*(t - 2)*(t - 1)/5
Let q(a) be the second derivative of a**7/14 + 29*a**6/10 + 45*a**5/2 + 71*a**4 + 92*a**3 + 33*a - 1. Determine s so that q(s) = 0.
-23, -2, 0
Let f(r) be the third derivative of 0 + 1/96*r**8 + 1/10*r**5 - 5*r**2 + 0*r**3 - 47/420*r**7 + 7/60*r**6 + 0*r**4 - r. Solve f(a) = 0.
-2/7, 0, 1, 6
Factor 0 + 24/5*i**2 + 22/5*i**3 - 72/5*i - 4/5*i**4 - 2/5*i**5.
-2*i*(i - 2)**2*(i + 3)**2/5
Find x such that 0 + 46*x**2 - 2/3*x**3 + 140/3*x = 0.
-1, 0, 70
Suppose -12*s + 243 + 1233 = 0. Let l = s + -121. Let 8/7 + 36/7*v**3 + 52/7*v + 80/7*v**l = 0. What is v?
-1, -2/9
Determine q so that -1215/2*q - 275/6*q**3 + 1305/2*q**2 + 5/6*q**4 + 0 = 0.
0, 1, 27
Suppose -11*o = 289 + 481. Let b be (-2)/o + ((-18)/30 - -1). Suppose 3/7*c**4 - 12/7*c**3 + 18/7*c**2 + b - 12/7*c = 0. What is c?
1
Let n(s) be the first derivative of 1/30*s**5 + 0*s**3 + 0*s**4 + 0*s + 1/2*s**2 - 1. Let u(o) be the second derivative of n(o). What is f in u(f) = 0?
0
Let a(q) be the third derivative of 0*q + 1/75*q**5 + q**2 + 37 + 0*q**3 - 8/15*q**4. What is u in a(u) = 0?
0, 16
Factor -1041418 + 0*s**2 - 4*s**2 - 267*s + 5938*s - 1436058 + 625*s.
-4*(s - 787)**2
Let q(c) be the second derivative of -c**4/36 + 644*c**3/9 - 207368*c**2/3 - 1039*c. Determine p, given that q(p) = 0.
644
Factor 186/11*m + 612/11 - 6/11*m**2.
-6*(m - 34)*(m + 3)/11
Find z such that -1/2*z**4 - 1/4*z**5 + 7/4*z**3 - z**2 + 0*z + 0 = 0.
-4, 0, 1
Let k(o) be the third derivative of 0*o + 0*o**3 + 1/8*o**6 + 1/2*o**4 - 1 - 1/70*o**7 + 65*o**2 - 2/5*o**5. Factor k(v).
-3*v*(v - 2)**2*(v - 1)
Let m(o) be the second derivative of o**5/2 + 296*o**4/3 - 199*o**3 - 309*o - 3. Let m(t) = 0. What is t?
-597/5, 0, 1
Let a = -17682 - -17686. Let o(u) be the first derivative of -34 + 0*u - 1/20*u**a - 1/25*u**5 + 0*u**3 + 0*u**2. Solve o(v) = 0 for v.
-1, 0
Let z = -8/143733 - -1437434/1868529. Let r be (-8)/12*(-18)/4. Let -z*d**r - 8/13*d - 16/13*d**2 - 2/13*d**4 + 0 = 0. What is d?
-2, -1, 0
Let k(j) be the third derivative of -j**8/1680 + 17*j**7/525 - 33*j**6/50 + 847*j**5/150 - 1331*j**4/120 - 62*j**2 - 4. Let k(h) = 0. Calculate h.
0, 1, 11
Let a(x) = -19*x**2 - 77*x - 320. Let d(i) = -43*i**2 - 154*i - 639. Let o(h) = -9*a(h) + 4*d(h). Factor o(y).
-(y - 81)*(y + 4)
Let c = -476984/5 - -95398. Find v such that -3/5*v**3 + c*v + 0 + 3/5*v**2 = 0.
-1, 0, 2
Let z = -419 - -422. Factor 4*r**z - 68 + 4*r**5 + 68 + 4*r**4 + 0*r**4 - 12*r**4.
4*r**3*(r - 1)**2
Let k(d) be the third derivative of -5*d**8/336 + 10*d**7/21 + d**6 - 31*d**5/6 - 115*d**4/24 + 35*d**3 + 5*d**2 + 14. Let k(l) = 0. Calculate l.
-2, -1, 1, 21
Let r(p) be the second derivative of p**6/10 - 3*p**5/2 + 6*p**4 - 11*p**3 + 21*p**2/2 - 1468*p. Factor r(o).
3*(o - 7)*(o - 1)**3
Let n(q) be the first derivative of -q**5/60 + 5*q**4/24 - 51*q**2/2 + 20. Let y(l) be the second derivative of n(l). Let y(f) = 0. What is f?
0, 5
Suppose 5*t + y - 3 = -2*y, 0 = 4*t - 5*y + 5. Suppose t = -2*i - 43 + 83. Let 52 - i*p - 157 + 53 - 4*p**2 + 56 + 20*p**3 = 0. What is p?
-1, 1/5, 1
Let d(l) = -601*l - 3003. Let x be d(-5). Let y(r) be the third derivative of -1/6*r**6 + 2*r**x + 1/4*r**5 + 0*r**3 + 5/24*r**4 + 0 + 0*r. Factor y(f).
-5*f*(f - 1)*(4*f + 1)
Let g be (-3)/9 + (-32)/(-6). Suppose -10*q**2 + 6*q**2 - 8 + 7*q + 0*q + g*q = 0. Calculate q.
1, 2
Let r(v) = 3*v**4 + 17*v**3 - 70*v**2 - 36*v + 384. Let p(h) = -4*h**4 - 17*h**3 + 69*h**2 + 37*h - 384. Let a(f) = -4*p(f) - 5*r(f). Factor a(j).
(j - 8)**2*(j - 3)*(j + 2)
Determine z, given that 30*z - 312/5 + 3/5*z**2 = 0.
-52, 2
Let x = -966 + 968. Suppose -26 = x*b - 15*b. Factor -6/5*m**b - 4/5 - 14/5*m.
-2*(m + 2)*(3*m + 1)/5
Let i(k) be the first derivative of -105/2*k**2 - 110*k - 32 + 5/3*k**3. Solve i(z) = 0 for z.
-1, 22
Let f be (-2 + 517/5)/(-568 - -574). Factor f*n**2 + 2/5 - 26/5*n.
(13*n - 2)**2/10
Let i(u) be the third derivative of -u**6/30 + u**5/15 + 10*u**4/3 + 867*u**2. Suppose i(d) = 0. What is d?
-4, 0, 5
Let t(m) be the second derivative of -m**5/14 + 89*m**4/21 - 516*m**3/7 - 648*m**2/7 - 1555*m - 1. Suppose t(f) = 0. Calculate f.
-2/5, 18
Let s = -106746/665 - -5714/35. Factor 2/19*u**3 - 22/19*u**2 - s*u + 0.
2*u*(u - 13)*(u + 2)/19
Let p(x) be the third derivative of -x**6/480 + x**5/120 - x**4/96 + 11*x**2 + 34*x. Factor p(y).
-y*(y - 1)**2/4
Suppose -4*h - 3*n = 22, 357*n - 26 = -3*h + 359*n. Factor o + 0 - 1/2*o**h.
-o*(o - 2)/2
Let r be (5/(25/(-5)) - 3/(-3))*1. Let x(t) be the second derivative of 0*t**3 + 3*t + r + 1/4*t**2 - 1/24*t**4. Factor x(a).
-(a - 1)*(a + 1)/2
Suppose -5*t = -5*z + 15, 0*z + 23 = 5*z + 3*t. Factor 4*m**4 - 4*m**2 - 24*m + 14*m**3 + 0*m**z + 10*m**3 + 0*m**3.
4*m*(m - 1)*(m + 1)*(m + 6)
Let m(u) be the third derivative of -2/7*u**7 + 33/8*u**4 - 47/40*u**6 + 5*u**2 + 13/5*u**5 + 0 - 9*u**3 + 0*u. Let m(z) = 0. What is z?
-3, -3/4, 2/5, 1
Let y = 4718 - 4714. Let n(k) be the second derivative of 9*k**2 + 1/6*k**y + 27*k - 2*k**3 + 0. Factor n(g).
2*(g - 3)**2
Let n be (-12)/28 + (-1384)/(-616). Let o = n - -19/44. Solve -o - 3/4*p**2 - 3*p = 0.
-3, -1
Let j(u) = 8*u**2 - 4*u - 5. Let c be j(-4). Let r be c/6 + 1/(-6). What is v in r*v**2 - 19*v**2 + 0*v**3 - 2*v**3 = 0?
0, 2
Let -35*x**3 - 590/3*x**2 - 5/3*x**4 - 100*x + 1000/3 = 0. Calculate x.
-10, -2, 1
Suppose 3*b + 552 + 1344 = 0. Let z = -628 - b. Factor 2/5 - 3/10*v**z + 1/10*v**5 + 11/10*v**2 - 6/5*v - 1/10*v**3.
(v - 2)*(v - 1)**3*(v + 2)/10
Let v(q) = q**2 - 1. Let t(w) = 2*w**2 - 2. Let x(n) = 3*t(n) - 5*v(n). Let p(g) = -4*g**2 - 11*g**2 + 16 - 1. Let s(h) = 6*p(h) + 85*x(h). Factor s(y).
-5*(y - 1)*(y + 1)
Let h be -2 - -2 - (-3)/4. Let l(q) = -826*q - 28908. Let p be l(-35). Factor -1/4*n**3 + 5/4*n - 1/4*n**p - h.
-(n - 1)**2*(n + 3)/4
Suppose -2*g = 5*g + g. Suppose 3*t + s - 19 = t, g = -t + s + 5. Factor 4*f**2 + t - 1 + 2*f + 10*f + 1.
4*(f + 1)*(f + 2)
Let r be 2 + (0 - 1)/(4 - 5). Find t, given that -r + 5*t + t**2 + 0*t - 7*t = 0.
-1, 3
Let s be 87 - 53 - 1170/35. What is q in 4/7*q**2 + 0 - s*q = 0?
0, 1
Let w(b) = 787*b - 9421. Let v be w(12). Let j(f) be the second derivative of 1/3*f**3 - 1/24*f**4 + 0 + 0*f**2 + v*f. Factor j(m).
-m*(m - 4)/2
Let i be 33/45 + 330/(-990). Suppose 2/5*s**3 + 0 + 0*s**2 + 0*s + i*s**5 + 4/5*s**4 = 0. What is s?
-1, 0
Let u(h) be the first derivative of h**3/12 + h**2/4 + h/4 + 513. Find w such that u(w) = 0.
-1
Let n(r) be the third derivative of r**8/50400 - 23*r**7/12600 + r**5/60 - 43*r**4/24 - r**2 - 56*r. L