ctor c(x).
-2*x**2*(x - 3)*(x - 2)/3
Let o(u) be the second derivative of -u**6/420 + u**5/210 + 23*u**2 - 13*u + 2. Let l(q) be the first derivative of o(q). Factor l(r).
-2*r**2*(r - 1)/7
Let j(r) = 13*r**4 - 44*r**3 - 462*r**2 - 441*r + 9. Let l(y) = -6*y**4 + 22*y**3 + 232*y**2 + 220*y - 4. Let i(p) = 4*j(p) + 9*l(p). Find d such that i(d) = 0.
-6, -1, 0, 18
Find u such that 348*u**2 - 1395/2 - 3/4*u**3 + 1401/4*u = 0.
-2, 1, 465
Let p(y) = y**4 - y**3 + y - 1. Let h(g) = -g**5 - 5*g**4 + 5*g**3 + g**2 - 8*g + 8. Suppose -15*i + 192 = -23*i. Let l(x) = i*p(x) - 3*h(x). Factor l(d).
3*d**2*(d - 1)**3
Let 72/11*g**2 + 10506/11*g - 876/11 = 0. What is g?
-146, 1/12
Let k(n) be the second derivative of n**8/2240 - n**7/70 + 7*n**6/80 - n**5/4 + n**4/12 + 18*n**2 - 27*n. Let j(l) be the third derivative of k(l). Factor j(g).
3*(g - 10)*(g - 1)**2
Let z(b) be the first derivative of 3/35*b**5 + 1/21*b**3 + 1/7*b**4 - 214 + 0*b**2 + 0*b. Suppose z(p) = 0. What is p?
-1, -1/3, 0
Let t(g) be the second derivative of 2*g**2 - 8/3*g**3 + 7/4*g**4 + 1/15*g**6 - 19 - 11/20*g**5 + 4*g. Factor t(n).
(n - 2)**2*(n - 1)*(2*n - 1)
Let d(o) be the second derivative of -o**5/10 + 5*o**4/12 + 2*o**3/3 - 3*o**2/2 - 227*o. Factor d(r).
-(r - 3)*(r + 1)*(2*r - 1)
Let n be ((46/(-14))/(-1))/((-180)/(-630)). Factor 0 + 12*y - n*y**2 - 1/2*y**3.
-y*(y - 1)*(y + 24)/2
Suppose -844*h**2 + 1703*h**2 + 23*h + 6 - 863*h**2 = 0. Calculate h.
-1/4, 6
Let u(p) be the third derivative of 1/900*p**6 + 0*p + 130*p**2 + 0*p**3 - 1/45*p**5 + 0 + 0*p**4. Factor u(z).
2*z**2*(z - 10)/15
Suppose 34/7*z**2 + 0 + 104/7*z - 11/7*z**3 - 1/7*z**4 = 0. What is z?
-13, -2, 0, 4
Solve -180*n**2 + 300 - 12*n + 3*n**4 - 9677*n**3 + 9626*n**3 - 60 = 0 for n.
-2, 1, 20
Suppose -1183*z = -1167*z - 32. Let t(d) be the second derivative of 0 - 1/90*d**5 + 0*d**4 + d + 4/27*d**3 + 0*d**z. Factor t(n).
-2*n*(n - 2)*(n + 2)/9
Find w, given that -1/10*w**2 - w + 12/5 = 0.
-12, 2
Let x = 8 + -3. Let g(a) = a**3 - 4*a**2 - 4*a - 3. Let c be g(x). Determine v so that 6*v**4 - 3*v**4 + 6*v**3 - 8*v**2 + c*v**4 - 8*v - v**4 - 2*v**5 = 0.
-1, 0, 2
Let t be 8649/(-3844)*(-8)/153. Let -4/17*s**3 - 10/17*s**2 - 8/17*s - t = 0. What is s?
-1, -1/2
Find o such that 2160 + 14*o**5 - 9930*o**2 + 8649*o**2 - 363*o**3 - 504*o - 11*o**5 - 15*o**4 = 0.
-4, -3, 1, 15
Let k(u) be the second derivative of -15125/42*u**7 - 80*u**2 + 2 + 38*u - 3980/3*u**4 - 2126*u**5 - 1595*u**6 - 440*u**3. Find q such that k(q) = 0.
-2, -2/5, -2/11
Suppose 483/2*f**2 + 90 + 62*f**3 - 3/2*f**4 + 268*f = 0. What is f?
-2, -1, -2/3, 45
Let t(s) = -s**3 - 2*s**2 + 11*s + 27. Let o be t(-3). Factor -2*v**3 + o*v**3 + 114 + 7*v**2 - 94 - 28*v.
(v - 2)*(v - 1)*(v + 10)
Let f(y) be the first derivative of -y**6/57 - 24*y**5/95 - 21*y**4/38 + 196*y**3/57 - 1243. Find x such that f(x) = 0.
-7, 0, 2
Let p = 311 + -281. Factor 64*t**3 + 21*t**3 + 17*t**4 + 4*t**4 + p*t**2 + 14*t**4.
5*t**2*(t + 2)*(7*t + 3)
Let f(r) be the first derivative of -r**7/168 - r**6/36 + r**5/8 + 235*r**3/3 - 150. Let p(q) be the third derivative of f(q). Factor p(z).
-5*z*(z - 1)*(z + 3)
Let f(n) be the third derivative of n**8/20160 + n**7/7560 + 5*n**4/8 + 3*n**2 + 7*n. Let d(z) be the second derivative of f(z). Factor d(t).
t**2*(t + 1)/3
Let f(p) = 2*p + 26. Let r be f(-11). Suppose r*i - 8*i = -8. Let g**i + 25*g**3 + g**3 + 5*g**3 - 16*g - 4 + 21*g**4 + 3*g**3 = 0. What is g?
-1, -2/7, 2/3
Suppose 0 = j - 7 - 6. Suppose 4*t - 3*o - 5 = j, o + 17 = 5*t. Factor 7 + 2*x + t*x**2 + 4 + 1 + 10*x.
3*(x + 2)**2
Factor 738 + 182*x**2 - 2585*x - 58*x**2 - 117*x**2.
(x - 369)*(7*x - 2)
Let y(d) be the first derivative of d**6/14 + 6*d**5/7 - 18*d**4/7 + 3085. Factor y(h).
3*h**3*(h - 2)*(h + 12)/7
Let j(m) = -26*m + 28. Let f be j(1). Determine p, given that -10*p**4 - 2*p + 11*p**3 - 2*p**4 + p**4 - f*p - 4*p**4 + 8*p**2 = 0.
-2/3, 0, 2/5, 1
Let o(f) be the third derivative of 0*f**6 + 0*f**5 + 0*f + 0*f**4 - 1/630*f**7 + 0 + 0*f**3 + 52*f**2 + 1/1008*f**8. Find v such that o(v) = 0.
0, 1
Let m(b) = 3*b**4 - 6*b**2 + b - 1. Let i(o) = o**4 - 10*o**3 + 503*o**2 - 2358*o + 3118. Let t(x) = -i(x) + 2*m(x). Find n, given that t(n) = 0.
-13, 3, 4
Let a(c) be the first derivative of -c**6/3 - 9*c**4/4 - 2*c**3 - 5*c**2/2 - 10*c + 149. Let f(g) = -g**5 - g - 2. Let w(l) = -a(l) + 5*f(l). Factor w(r).
-3*r**2*(r - 2)*(r + 1)**2
Suppose 0 = z - 4, z + 67 = 5*h + 61. Let y be (-3325)/(-1050) - 3/2*h. Suppose -1/3*q**3 + 0*q**4 + 0*q**2 + y*q + 1/6*q**5 + 0 = 0. What is q?
-1, 0, 1
Let t = 731240003/1754976 - 1/584992. Let -t + 100/3*v - 2/3*v**2 = 0. What is v?
25
Let a = 646090 + -1938254/3. Determine z, given that 1/3*z**3 + a*z + 0 + 8/3*z**2 = 0.
-4, 0
Let t be 90*(-15)/520 - (-44)/16. Factor -2/13*q**2 + 24/13 + t*q**3 - 16/13*q.
2*(q - 2)**2*(q + 3)/13
Let n(j) be the first derivative of -j**5/5 + 3*j**4/4 + 4*j**3/3 + 1739. Factor n(q).
-q**2*(q - 4)*(q + 1)
Find t, given that 693842/3 + 2/3*t**4 - 16*t**3 - 2068/3*t**2 + 9424*t = 0.
-19, 31
Suppose -33/2*x - 15/2 + 11/6*x**3 - 13/6*x**2 + 1/3*x**4 = 0. What is x?
-5, -3, -1/2, 3
Factor 2/3*a - 2/9*a**2 + 80/9.
-2*(a - 8)*(a + 5)/9
Suppose -1089*s**3 + 125*s**2 + 19*s**2 - 282*s - 73 + 1087*s**3 + 213 = 0. What is s?
1, 70
Let i(s) be the second derivative of 0*s**4 - 1/360*s**6 + 0 + 31*s + 0*s**3 + 1/180*s**5 + 27/2*s**2. Let z(h) be the first derivative of i(h). Factor z(t).
-t**2*(t - 1)/3
Suppose 5092/9*t**3 - 1994/9*t**4 + 286/9*t**5 - 5576/9*t**2 + 2128/9*t + 64/9 = 0. Calculate t.
-4/143, 1, 2
Let p be 90/300 + 0/24. Let 1/10*i**3 - p*i**2 + 2/5 + 0*i = 0. What is i?
-1, 2
Let a be -2 + (-21)/(-9) + (-156)/36. Let k be (-6)/a*((-40)/15 + 4). Let 4/15*c**k - 4/15 + 2/15*c - 2/15*c**3 = 0. What is c?
-1, 1, 2
Let a(j) = 974*j + 13640. Let c be a(-14). Determine s so that 0 + 1/2*s**3 - 1/4*s**2 - 1/4*s**c + 0*s = 0.
0, 1
Let o(p) = -67*p**2 - 15*p - 72. Let w(n) = n**2 - 29*n. Let l(h) = o(h) + 5*w(h). Factor l(g).
-2*(g + 2)*(31*g + 18)
Let a(b) = 31*b - 401. Let x be a(16). Factor -36*f**2 + 87 + x - 40*f + 16*f**3 - 170.
4*(f - 3)*(f + 1)*(4*f - 1)
Let f(y) be the third derivative of y**5/570 + 10*y**4/57 + 48*y**3/19 + 31*y**2 + 39*y. Let f(x) = 0. Calculate x.
-36, -4
Determine b, given that -171/2 + 111/4*b + 1/4*b**2 = 0.
-114, 3
Let x(j) = 6*j**2 - 47*j - 20. Let w(p) = 15*p**2 - 117*p - 51. Let v(o) = 5*w(o) - 12*x(o). Let r(d) = -d**3 + d**2 + 1. Let a(c) = 3*r(c) - v(c). Factor a(u).
-3*(u - 3)*(u + 1)*(u + 2)
Let c(a) = 306*a**2 - 15*a + 1. Let u be c(-2). Let s = u - 6267/5. Factor -4/5*n**3 + 4/5*n + s*n**2 - 8/5.
-4*(n - 2)*(n - 1)*(n + 1)/5
Let j = -733 + 1177. Let k be 16/(-2) + 3663/j. Let -k*r - 1/4*r**2 + 3/2 = 0. What is r?
-3, 2
Suppose 4*s = -o - 5 + 20, -s - 3*o = -12. Suppose 91*q**3 - 4*q**4 - 45*q**3 - 62*q**s + 8*q**2 - 36 + 48*q = 0. What is q?
-3, 1
Let g = -316430 + 1582154/5. Factor -32/5*v**3 + g*v**4 - 12/5*v**2 + 88/5*v + 64/5.
4*(v - 8)*(v - 2)*(v + 1)**2/5
Suppose -6*h + 3*h = -360. Suppose -44*s = -41*s - h. Factor -s*j**2 + j + 39*j**2 - 5*j.
-j*(j + 4)
Let c(t) be the third derivative of 0*t - 71*t**2 + 0 - 1/56*t**4 - 2/21*t**3 - 1/1470*t**7 + 1/280*t**6 + 1/84*t**5. What is v in c(v) = 0?
-1, 1, 4
Factor 174/5*c + 173/5 + 1/5*c**2.
(c + 1)*(c + 173)/5
Let a be -4 + (-33)/(-22)*16/3. What is z in z**a + 3816 - 3816 - 2*z**3 + z**5 = 0?
-2, 0, 1
Let i(x) be the third derivative of 5*x**8/1008 - 5*x**7/126 + 7*x**6/72 - x**5/12 - 896*x**2. Let i(z) = 0. Calculate z.
0, 1, 3
Let l(i) be the second derivative of -5*i**7/7 + 253*i**6/45 + 147*i**5/10 - 29*i**4/18 - 16*i**3 + 28*i**2/3 + 20*i - 2. Find y such that l(y) = 0.
-1, 2/9, 2/5, 7
Let r be (-16)/(-44) - (-589100)/3311. Let n = -178 + r. Factor -4/7*k**2 - 2/7*k + 4/7 + n*k**3.
2*(k - 2)*(k - 1)*(k + 1)/7
Let c = -34239 + 34241. Suppose -p - 3*p + 14 = 5*m, -4 = p + 5*m. Factor 0*u + p*u - 5 + 2*u**3 + 5*u**c - u - 7*u**3.
-5*(u - 1)**2*(u + 1)
Let o = 3679 + -121406/33. Let f(c) be the first derivative of -o*c**3 + 2/11*c**2 - 4/11*c + 2. Determine z so that f(z) = 0.
2
Let a be -1 + 232 + 14/28*-6. Let v be ((-6)/77)/(a/(-532)). Find x such that 0 + v*x**2 - 2/11*x**5 - 2/11*x**4 + 2/11*x**3 + 0*x = 0.
-1, 0, 1
Suppose -3