et h(m) = -g(m) - 3*n(m). Let h(t) = 0. What is t?
-6, -4, -1, 0, 1
Factor -470/9 + 52*m + 2/9*m**2.
2*(m - 1)*(m + 235)/9
Let m(g) = 10*g**3 + 24*g**2 - 20*g - 42. Let w(d) = 2*d**3 + 5*d**2 - 4*d - 9. Let y(n) = -3*m(n) + 14*w(n). Factor y(q).
-2*q*(q - 1)*(q + 2)
Let l(v) be the third derivative of 7/24*v**8 + v**7 + 142/21*v**5 + 32/21*v**3 - 31/6*v**6 - 30/7*v**4 - 78*v**2 + 0*v + 0. Suppose l(x) = 0. What is x?
-4, 2/7, 1
Suppose -10*k + 528 = 3*j + 516, 5*k - j + 4 = 0. Factor 0*f**2 + 0*f**3 - 10/3*f**4 + k + 1/3*f**5 + 0*f.
f**4*(f - 10)/3
Suppose 2*l = -5*p + 73, 0 = -8*l + 7*l + 4. Suppose -c = 4*t - p, 10*c + 7 = 4*t + 5*c. Suppose -3 - 1/3*d**t + 5/3*d**2 - d = 0. Calculate d.
-1, 3
Let n(z) be the first derivative of z**5/150 + z**4/15 - z**3/3 + 5*z**2/2 + 8*z + 75. Let i(r) be the second derivative of n(r). Factor i(b).
2*(b - 1)*(b + 5)/5
Let b be (-18)/(-4)*(-2)/(-3). Suppose 230*j - 6 = 229*j. Factor -b*p + 2*p**2 - 3*p - 4*p + j*p.
2*p*(p - 2)
Let b = 28561 + -28559. Solve -3/5*s**4 - 147/5 - 36/5*s**3 - 66/5*s**b + 252/5*s = 0.
-7, 1
Let h = 10 - 6. Let p = 1088 - 1085. Factor -3*u**2 - 2*u**2 - h*u**p - 2*u**2 + 2*u.
-u*(u + 2)*(4*u - 1)
Let 3/2*f**2 - 78*f - 1239/2 = 0. Calculate f.
-7, 59
Factor 942 - 1895 + 953 - 1320*i + 5*i**3 - 1315*i**2.
5*i*(i - 264)*(i + 1)
Determine p, given that -p**2 + 0 + 5/8*p**4 + 7/4*p**3 + 0*p - 1/4*p**5 = 0.
-2, 0, 1/2, 4
Let p(a) be the first derivative of -a**6/9 + 62*a**5/15 - 311*a**4/6 + 1954*a**3/9 + 104*a**2 - 672*a - 2116. Solve p(f) = 0 for f.
-1, 1, 7, 12
Let k = 36/35 + -6/35. Let g be 83700/20880 - (-4)/(-464). Solve 0*v**2 - k*v**g + 0*v + 0 + 0*v**3 + 3/7*v**5 = 0.
0, 2
Factor 8625 + 79*u**2 - 3613*u - 995*u - 51*u**2 - u**3 - 29361 + 112*u**2.
-(u - 72)**2*(u + 4)
Let k(a) = -4*a**4 - 12*a**3 + 12*a**2 - 12*a - 4. Suppose -49*z - 5 = -54*z. Let s(w) = -w**4 - w**3 - w**2 + w - 2. Let i(g) = z*k(g) - 5*s(g). Factor i(l).
(l - 3)*(l - 2)*(l - 1)**2
Suppose -12*l - 1938 = 7*l. Let u = l + 102. What is j in u - 1/8*j**2 + 1/4*j = 0?
0, 2
Let n be (-6)/33*(-1755)/90 - (-18)/(-33). Factor 2*i - 2/3 - 13/6*i**2 + i**n - 1/6*i**4.
-(i - 2)**2*(i - 1)**2/6
Let y(p) be the third derivative of p**5/15 - 314*p**4/3 + 197192*p**3/3 - 221*p**2 + 4*p - 2. Solve y(z) = 0 for z.
314
Suppose 5*b + 2*f - 21 = 0, -4*f + 0*f + 18 = 2*b. Determine k so that 39*k**3 - 24*k + 39*k**b - 74*k**3 - 4*k**2 = 0.
-2, 0, 3
Let q(b) be the second derivative of -5*b**6/3 + 682*b**5 - 77974*b**4 + 371008*b**3/3 - 73984*b**2 - 4878*b. Factor q(c).
-2*(c - 136)**2*(5*c - 2)**2
Let d(n) be the second derivative of -15/4*n**2 + 0 + 3*n**5 - 87*n + 10/3*n**3 + 25/4*n**4 + 5/12*n**6. Solve d(b) = 0 for b.
-3, -1, 1/5
Let d = 68 - 66. Suppose w - 6 = v, -d*v = -w - 0*v + 10. Factor -4096*k - 3001 + 774 - 269*k**2 - 5965 - 2*k**4 - 64*k**3 - 499*k**w.
-2*(k + 8)**4
Determine n so that 1/6*n**3 + 19/3*n**2 - 84 - 30*n = 0.
-42, -2, 6
Let b(x) be the first derivative of 20*x - 5/3*x**3 - 5*x**2 + 5/8*x**4 + 45. Let b(s) = 0. Calculate s.
-2, 2
Let s(t) be the first derivative of -t**5/5 + 67*t**4/8 - 47*t**3/3 - 16*t**2 + 12937. Solve s(a) = 0.
-1/2, 0, 2, 32
Let y(j) be the second derivative of -j**4/4 - 28*j**3 - 1845*j**2/2 + 389*j + 1. Factor y(u).
-3*(u + 15)*(u + 41)
Suppose 12*b - 22 + 1 = 15. Let t(y) be the first derivative of 4 + 0*y + 2/3*y**2 - 2/15*y**5 - 1/3*y**4 + 2/9*y**b. Suppose t(a) = 0. Calculate a.
-2, -1, 0, 1
Let g(h) be the third derivative of -11*h**8/3024 - 5*h**7/126 - 107*h**6/1080 - 11*h**5/180 + 5*h**4/108 - 4*h**2 + 52. Find z such that g(z) = 0.
-5, -1, 0, 2/11
Let a be (-880)/(-616) + 5/(-15)*3. Determine l so that 3/7*l + a - 3/7*l**2 - 3/7*l**3 = 0.
-1, 1
Let g = 1747464/7 + -249608. Factor 5408/7 + 2/7*t**2 - g*t.
2*(t - 52)**2/7
What is z in 0 + 4/7*z**3 - 4/7*z**4 - 16/7*z + 16/7*z**2 = 0?
-2, 0, 1, 2
Let d be (36/16)/(135/5976). Let n = d - 1489/15. Let -25/3*a**3 - n*a**5 + 3*a**4 + 9*a**2 - 10/3*a + 0 = 0. Calculate a.
0, 1, 2, 5
Factor 26/5*a**2 - 24/5 - 98/5*a.
2*(a - 4)*(13*a + 3)/5
Let k(t) = -24*t - 82*t**2 - 24*t - 2*t + 79 - 3*t + 79*t**2. Let m be k(-19). Factor 9/4*v - 3/4*v**2 + m.
-3*(v - 4)*(v + 1)/4
Let m be ((-29 + 399)/(1*4) + 5)*(67 - 66). Factor m*j + 3/4*j**2 + 12675/4.
3*(j + 65)**2/4
Let i = -900 + 902. Let g(q) = q + 1. Let a be g(1). Factor i*j**4 - 11*j**2 + 2*j**a + 5*j**2 - 2*j**3.
2*j**2*(j - 2)*(j + 1)
Let y(a) be the first derivative of -a**7/1260 + a**5/60 - a**4/18 - 28*a**3/3 + 12. Let x(o) be the third derivative of y(o). Solve x(w) = 0.
-2, 1
Let i(t) be the second derivative of 4/13*t**2 - 16/65*t**5 + 32/39*t**3 - 16*t - 2 + 11/78*t**4 - 1/13*t**6. Determine q so that i(q) = 0.
-2, -1, -2/15, 1
Let p = -45/22369 - -358039/67107. Let 5/3*d**3 - 20/3*d + 0*d**2 + p - 1/3*d**4 = 0. What is d?
-2, 1, 2, 4
Let d = -7177/4 + 78949/44. Let h(a) be the second derivative of 0*a**3 - 1/110*a**5 + 0 - d*a**4 + 20*a + 4/11*a**2. Solve h(w) = 0 for w.
-2, 1
Let d be (22/(-1155))/(351/(-4095)). Solve -2/9*z**4 + 2/9*z + 0 - 2/9*z**3 + d*z**2 = 0 for z.
-1, 0, 1
Let c(y) be the second derivative of -1/33*y**3 - 146*y + 2/33*y**4 + 1/110*y**5 - 4/11*y**2 + 0. Factor c(a).
2*(a - 1)*(a + 1)*(a + 4)/11
Find j, given that 195*j**4 + 52*j**5 + 1544*j**2 - 396*j + 1329*j**4 - 2213*j**3 + 4 - 432*j**5 - 83*j**3 = 0.
1/95, 1
Suppose -12*x - 9*x - 36 - 20*x - 10*x - 42*x + 35*x**2 = 0. What is x?
-12/35, 3
Let u be 2301/(-11) - ((-20)/(-11) + -2). Let b be 3 + (-139)/57 + (-22)/u. Factor b*a - 4/15 + 14/15*a**2.
2*(a + 1)*(7*a - 2)/15
Let h(v) = -4*v**3 - 237*v**2 - 1134*v. Let a be h(-54). Factor -1/2*l**3 - 1/2*l**2 + a + 1/2*l**4 + 1/2*l.
l*(l - 1)**2*(l + 1)/2
Let j(d) be the third derivative of -d**5/80 - 1187*d**4/16 - 1408969*d**3/8 - 2869*d**2. Factor j(n).
-3*(n + 1187)**2/4
Let b(h) = 8*h + 77. Let d be b(-9). Solve 499*q**4 - 6*q**d + 24*q + 14*q**3 - 23*q**2 - 495*q**4 - 17*q**2 + 4*q**5 = 0.
-3, 0, 1, 2
Factor 2/5*z**2 + 8/5*z - 18.
2*(z - 5)*(z + 9)/5
Factor -175*n + 1250/3 - 16*n**2 - 1/3*n**3.
-(n - 2)*(n + 25)**2/3
Let w(n) be the second derivative of 0 - 43*n + 4/9*n**2 + 5/54*n**4 + 1/90*n**5 + 8/27*n**3. Factor w(a).
2*(a + 1)*(a + 2)**2/9
Let d(n) be the third derivative of n**6/480 - 7*n**5/15 - 115*n**4/96 + 113*n**3/12 - 8*n**2 + 75*n. Factor d(h).
(h - 113)*(h - 1)*(h + 2)/4
Suppose 3*o - 89 = 2*r, -o - r - r = -35. Find p such that -2 + 13*p**2 + 5*p - 4*p + 10*p - 16*p**3 + 15*p**2 + o*p**3 = 0.
-1, 2/15
Let t(n) = -6*n**2 - 78*n - 5. Let s be t(-13). Let p be (((-27)/s)/(-3))/(35/(-25)). Determine b so that -3/7 - 3/7*b**3 - 9/7*b**2 - p*b = 0.
-1
Let t = -85344 - -85344. Factor -2/5*n**2 + t + 6/5*n.
-2*n*(n - 3)/5
Let y(b) be the second derivative of -2*b**7/7 - 106*b**6/15 + 206*b**5/5 - 92*b**4/3 - 112*b**3 - 3543*b. Solve y(g) = 0.
-21, -2/3, 0, 2
Let v(d) be the second derivative of 0*d**2 - d - 89 + 4/45*d**3 + 1/90*d**4. Factor v(a).
2*a*(a + 4)/15
Let n(k) be the third derivative of -3/2*k**3 + k - 2*k**2 + 0 - 1/4*k**5 - 7/8*k**4 - 1/40*k**6. Let n(o) = 0. Calculate o.
-3, -1
Let x(b) be the second derivative of -b**4/12 + 33*b**3/2 + 101*b**2 - 23*b - 8. Factor x(p).
-(p - 101)*(p + 2)
Let r(k) be the second derivative of 1/450*k**5 + 1/45*k**3 + 6*k**2 - 15*k - 1/90*k**4 + 0. Let y(w) be the first derivative of r(w). Solve y(n) = 0.
1
Let x be 0*(-25)/250*5. Let m(v) be the third derivative of 1/140*v**7 + 13/240*v**6 + 11/120*v**5 - 1/2*v**3 + 0 - 5/48*v**4 + x*v + 46*v**2. Factor m(f).
(f + 1)**2*(f + 3)*(3*f - 2)/2
Factor 0*l**2 + 8 + 6*l - 1/2*l**3.
-(l - 4)*(l + 2)**2/2
Let p(v) be the first derivative of -v**5 + 30*v**2 - 15*v**4 + 100*v - 95/3*v**3 - 162. Solve p(r) = 0 for r.
-10, -2, -1, 1
Let c be 24024/462 + 186/(-4). Factor -1/2*z**2 + c*z + 6.
-(z - 12)*(z + 1)/2
Factor 2454*y**2 + 4*y**4 - 955*y**2 - 185 - 1235*y**2 - 16*y + 100*y**3 - 167.
4*(y - 1)*(y + 2)**2*(y + 22)
Let -2/5*f**5 + 0 + 0*f**3 + 0*f**2 + 24*f**4 + 0*f = 0. Calculate f.
0, 60
Let l(j) = -25*j**2 + 50*j + 15. Let n(u) = -u**2 + 2*u. Let f(q) = -l(q) + 20*n(q). Factor f(i).
5*(i - 3)*(i + 1)
Suppose -8*r**4 + 168*r + 706*r**2 + 2691*r**3 - 1289*r**3 - 1268*r**3 = 0. What is r?
-4, -1/4, 0, 21
Let q(y) be the third derivative of -2*y**7/105 