at is h?
-1, 2, 132
Suppose -5*g = -4*i + 2*i - 47, 5*i + g = -185. Let w be (-6)/i + (-46)/(-12). Factor 6*r**2 - w + 15*r**3 + 4.
3*r**2*(5*r + 2)
Factor 1/5*p**3 + 3483/5 - 693/5*p + 5*p**2.
(p - 9)**2*(p + 43)/5
Let l(n) be the first derivative of n**9/5292 + n**8/2940 - n**7/294 + n**6/210 - 20*n**3/3 + 24. Let d(a) be the third derivative of l(a). Factor d(p).
4*p**2*(p - 1)**2*(p + 3)/7
Let w(r) be the first derivative of -40 + 0*r + r**3 - 1/4*r**4 + 0*r**2 - 3/5*r**5 + 1/6*r**6. Solve w(x) = 0.
-1, 0, 1, 3
Suppose -2*f**2 - 328/3*f + 36*f**3 - 72 + 2/3*f**4 = 0. What is f?
-54, -1, 2
Suppose 42 + 12 = 6*u. Suppose 3*l - u*l = -54. Let -39*g - 3 - 9*g**2 + 0 + l - 12*g**2 = 0. What is g?
-2, 1/7
Let s(m) be the first derivative of -m**6/24 + m**5/2 - 3*m**4/4 - 6*m**3 + 1428. Suppose s(c) = 0. Calculate c.
-2, 0, 6
Let l = 1277/58 + -5109/290. Factor 0 + 4/5*a + 14/5*a**4 + 32/5*a**3 + l*a**2.
2*a*(a + 1)**2*(7*a + 2)/5
Let z(h) = -52*h**3 - 1569*h**2 + 3811*h - 955. Let w(b) = 25*b**3 + 786*b**2 - 1906*b + 478. Let o(j) = -5*w(j) - 2*z(j). Factor o(n).
-3*(n - 2)*(n + 40)*(7*n - 2)
Solve 3141/7*x**3 + 7131/7*x**2 + 27/7*x**4 + 1026/7 - 5805/7*x = 0 for x.
-114, -3, 1/3
Factor 1/4*b**2 + 0 - 183/4*b.
b*(b - 183)/4
Let v(o) be the second derivative of o**7/630 - o**6/15 + 11*o**5/30 - 9*o**4/2 + o + 1. Let l(r) be the third derivative of v(r). Factor l(z).
4*(z - 11)*(z - 1)
Let f(y) be the third derivative of -y**6/300 - 11*y**5/50 - 28*y**4/5 - 1088*y**3/15 + 56*y**2 - 23*y. Factor f(u).
-2*(u + 8)**2*(u + 17)/5
Suppose 410*m + 173 - 391 - 1012 = 0. Factor 3/2*x**5 + 0 - 3/2*x**4 + 0*x - m*x**3 + 0*x**2.
3*x**3*(x - 2)*(x + 1)/2
Determine k so that 9/2*k**3 + 0 + 0*k + 11*k**2 - 1/2*k**4 = 0.
-2, 0, 11
Suppose 7 = 5*v - 4*l, -7 = -17*v + 16*v - 2*l. Let k be 144/52 + v/13. Factor -3/4*o**k - 15/4*o**2 - 3 - 6*o.
-3*(o + 1)*(o + 2)**2/4
Let s(a) be the second derivative of -a**4/21 + 144*a**3/7 + 62*a**2 + 36*a - 15. Factor s(j).
-4*(j - 217)*(j + 1)/7
Let v(x) be the third derivative of x**6/10 + 403*x**5/45 - 28*x**4 + 184*x**3/9 + 385*x**2. Factor v(c).
4*(c - 1)*(c + 46)*(9*c - 2)/3
Let t(y) be the first derivative of -y**7/280 + y**6/120 - 25*y**3/3 + 108. Let s(z) be the third derivative of t(z). Factor s(b).
-3*b**2*(b - 1)
Let t(p) be the first derivative of 890*p**3/27 - 431*p**2/9 - 28*p/9 + 1829. Find i such that t(i) = 0.
-14/445, 1
Let b(m) be the second derivative of 0*m**2 + 1/18*m**4 - 4/9*m**3 + 100*m + 0. Factor b(h).
2*h*(h - 4)/3
Let p(a) = a**3 + 4*a**2 - 4*a - 5. Let j = -7 - -3. Let t be p(j). Find r such that -9 + 3*r**2 - 4*r - t*r + 18*r - 9*r = 0.
-1, 3
Let t(c) be the first derivative of -c**3/3 - 31*c**2/2 - 58*c + 1695. Factor t(f).
-(f + 2)*(f + 29)
Factor -4/5*b**2 - 336/5*b - 332/5.
-4*(b + 1)*(b + 83)/5
Let a(f) = -13*f**2 + f + 6. Let m(u) = 4 - 3 + u - 5*u**2 + 3*u**2. Let z(s) = -a(s) + 4*m(s). Suppose z(b) = 0. Calculate b.
-1, 2/5
Let u(o) = 2*o**3 - 7*o**2 + 2. Let g be u(5). Let h be 177/165 + (-21)/g. What is r in 16/5*r**4 - 16/5*r**2 + 0 - h*r**3 + 4/5*r = 0?
-1, 0, 1/4, 1
Let d be 3/12 - 22/(-8). Suppose -3*f - 12 = 3*g, g + 169 = 27*f + 277. Solve -3*c**2 + 3*c**4 + 0 - 21/2*c**5 + 21/2*c**d + g*c = 0 for c.
-1, 0, 2/7, 1
Let j(f) = -f**2 + 2*f - 5. Let n(w) = -w**2 + 3*w - 4. Let c(g) = -6*j(g) + 7*n(g). Let a be c(9). Factor -2*k**2 + 6*k**a - 379*k**3 + 375*k**3 + 8*k.
-4*k*(k - 2)*(k + 1)
Let s(k) = 231*k**3 - 4542*k**2 - 11100*k - 2800. Let h(f) = 740*f**3 - 14535*f**2 - 35520*f - 8960. Let b(v) = -14*h(v) + 45*s(v). Find u such that b(u) = 0.
-2, -2/7, 28
Suppose 3*p - 4*a = 113, 2*p - 4 = 2*a + 74. Factor -1 + 1 + 42*m**2 - p*m**2 + 8*m.
-m*(m - 8)
Let v(s) be the first derivative of s**3 + 3117*s**2/2 - 3120*s + 2470. Find b, given that v(b) = 0.
-1040, 1
Suppose -13*c + 7*c + 12 = 0. Factor 47*t**3 + 30*t**3 + 12 - 72*t + 123*t**c - 140*t**3.
-3*(t - 1)*(3*t - 2)*(7*t - 2)
Let r(k) = -9*k**3 + 766*k**2 - 17270*k + 57630. Let p(i) = 3*i**3 - 255*i**2 + 5757*i - 19209. Let c(l) = 10*p(l) + 3*r(l). Let c(x) = 0. Calculate x.
4, 40
Let q = -79312/3 + 26438. Let 2/3*s**2 - q - 2/3*s + 2/3*s**3 = 0. What is s?
-1, 1
Suppose 0 = 7*j - 7 - 21. Suppose 7*x - 9 = j*x. Factor -6 - x*h**3 - 3*h - 4*h**4 - h + h**4 + 9*h**2 + 7*h.
-3*(h - 1)**2*(h + 1)*(h + 2)
Let n be 6/((-24)/(-2))*-1*-2780. Suppose 1262*y**3 - 109*y + 5*y + 12 - 244*y**2 - n*y**3 = 0. Calculate y.
-1, 3/32
Let c = -33957 + 135831/4. Factor -3/4*u**3 + c*u - 3/8*u**4 + 3/8 + 0*u**2.
-3*(u - 1)*(u + 1)**3/8
Let j(r) be the second derivative of 2*r**2 - 81/28*r**7 - 9*r + 19/3*r**3 - 36/5*r**6 - 9 - 15/8*r**5 + 91/12*r**4. Solve j(c) = 0.
-1, -2/9, 2/3
Let t(r) be the first derivative of -3*r**5/5 - 123*r**4/4 + 270*r**3 - 834*r**2 + 1128*r + 2303. Let t(k) = 0. What is k?
-47, 2
Factor -796*n**2 - 60*n**4 + 58*n**4 + 6213*n**3 + 516*n + 204*n - 6135*n**3.
-2*n*(n - 20)*(n - 18)*(n - 1)
Let f be (41 + -37)/((-63)/(-18)). Factor -4/7*j + 8/7*j**3 - 4/7*j**4 - 4/7 - 4/7*j**5 + f*j**2.
-4*(j - 1)**2*(j + 1)**3/7
Suppose 5*n = -2*h + 71, 5*h - 151 = 3*n + 42. Let o = -36 + h. Factor 14*r**3 - 30*r**3 - 2*r**2 + 7*r**3 + o*r**4 + 13*r**3 - 4*r.
2*r*(r - 1)*(r + 1)*(r + 2)
Determine r so that 9/2*r**2 + 0 + 6*r - 3/4*r**4 - 9/4*r**3 = 0.
-4, -1, 0, 2
Let g be 37316/(-86940) + (-1)/(-14)*6. Let i = g + 173914/52785. Let -16/17*w**5 - 26/17*w**2 + 0 - 60/17*w**3 - 4/17*w - i*w**4 = 0. Calculate w.
-2, -1/2, 0
Let h(g) be the first derivative of -19 - 76 - 5 + 8*g**3 - g**4 - 37. Factor h(f).
-4*f**2*(f - 6)
Let i = -603673/3 - -201225. Let g be (-8)/12*(-3)/1. Factor -2/3*t**g + 0 + i*t.
-2*t*(t - 1)/3
Let t(d) be the third derivative of -8/21*d**3 + 0*d**6 + 0*d + 137*d**2 + 0 - 11/210*d**5 - 3/14*d**4 + 1/735*d**7. Factor t(p).
2*(p - 4)*(p + 1)**2*(p + 2)/7
Let w(l) be the first derivative of 3*l**5/5 + 171*l**4/4 - 3*l**3 - 519*l**2/2 - 342*l + 2781. Find m, given that w(m) = 0.
-57, -1, 2
Find z such that 1301 - 285 - 370*z + 1855*z + 5*z**2 + 129 + 335 = 0.
-296, -1
Let d(b) = -5*b - 42. Let u be d(-9). Factor g**2 + 0*g**2 - u*g**2 - g**3 + 5*g**3 - 2*g**4.
-2*g**2*(g - 1)**2
Suppose 0 = 265*d - 778*d. Let w(n) be the third derivative of -7/2*n**3 + 0*n + d + 1/4*n**4 - 1/140*n**5 - 38*n**2. Suppose w(t) = 0. Calculate t.
7
Let c(l) = -11*l**2 + 16. Let w(r) = -13*r**2 + 17. Suppose -v = -3*z - 395, 5*v = -2*z - 58 - 228. Let x = -137 - z. Let u(n) = x*w(n) + 5*c(n). Factor u(i).
-3*(i - 2)*(i + 2)
Let n(v) be the second derivative of -v**4/60 + 209*v**3/5 - 1252*v**2/5 + 15449*v. Find g such that n(g) = 0.
2, 1252
Let 0 + 36*y**2 + 2/5*y**3 + 0*y = 0. What is y?
-90, 0
Let l(j) = j**3 + 5*j**2 + 3*j. Let r be l(-4). Factor 16*y + 4*y**4 + 0*y**r - 2*y**4 + 10307 - 10313 - 12*y**2.
2*(y - 1)**3*(y + 3)
Solve 6596*n**3 - 614/7*n**4 + 2/7*n**5 + 149740/7*n**2 + 240250/7 - 435550/7*n = 0.
-5, 1, 155
Suppose -96*v + 32 = -97*v. Let l be (48/v)/((-3)/26). Factor 38*n**2 - 40 + 10*n**3 - l*n**2 - 10*n - 15*n**3.
-5*(n - 4)*(n - 2)*(n + 1)
Let p = -87996418/2235 + 39372. Let z = 14902/2235 - p. Factor -z*j**2 - 4/3*j**3 + 4/3*j**4 - 4*j + 0.
4*j*(j - 3)*(j + 1)**2/3
Let r be (((-2)/(-9))/((-2)/60))/(2214/(-738)). Factor 26/3*o - 8/9*o**2 + r.
-2*(o - 10)*(4*o + 1)/9
Factor -196*s + 618*s**2 - 74*s - 376 - 244 - 540 - 613*s**2.
5*(s - 58)*(s + 4)
Let j(v) be the second derivative of 5*v**4/12 + 1315*v**3/6 + 655*v**2 - 7*v + 3. Determine s, given that j(s) = 0.
-262, -1
Factor 11298 + 5522222 - 11*z**2 + 10224*z + 296*z - 2*z**2 + 18*z**2.
5*(z + 1052)**2
Solve -2/5*b**5 + 32/5*b**4 + 68/5 + 8*b**3 - 20*b**2 - 38/5*b = 0.
-2, -1, 1, 17
Suppose -5 = 19*c + 33. Let m be 32/20 + (c - 16/(-4)). Determine a so that -2/5*a**3 + m - 6*a + 14/5*a**2 = 0.
1, 3
Let s = -1848089/7 - -264013. Factor -4/7*i**2 + 0 + s*i + 2/7*i**3.
2*i*(i - 1)**2/7
Let q(x) = -2*x**3 - 6*x**2 - x. Let i(y) = -3*y. Let j(h) = -h. Let a(z) = -4*i(z) + 11*j(z). Let f(s) = 6*a(s) - 2*q(s). Let f(n) = 0. Calculate n.
-2, -1, 0
Let z(a) = -167*a**2 + 1958*a + 69. Let r(f) = 84*f**2 - 982*f - 36. Let l(y) = 7*r(y) + 4*z(y). Factor l(n).
-2*(n - 12)*(40*n + 1)
Let k = 809 - 65. Suppose -k*m**2 - 7 + 34*m - 34*m**3 - 25 + 2*m**4 + 774*m**2 = 0. Calculate m.
-1, 1, 16
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