
z**5
Let k(r) = -6*r**2 - 2*r - 1. Let w(q) = q**3 - 1440*q**2 + 732122*q - 120553777. Let u(h) = 28*k(h) + 4*w(h). Factor u(z).
4*(z - 494)**3
Let p(a) = -a**2 - 10*a - 14. Let s be p(-8). Suppose s*y - 7*y = -100. Factor 14 + 12 + 16*l - y*l**2 - 22.
-4*(l - 1)*(5*l + 1)
Factor -3*i + 17*i + 6*i + 19*i**2 - 29*i**2 - 5*i**3 + 30*i**2 - 5*i**4.
-5*i*(i - 2)*(i + 1)*(i + 2)
Let p be (68/4 + 3)*3/(-50)*-2. Let t(u) be the second derivative of 0*u**2 + 0 - p*u**5 - u**3 + 13/4*u**4 - 15*u + 1/2*u**6. Determine y, given that t(y) = 0.
0, 1/5, 1, 2
Let v(i) be the first derivative of 0*i - 1/15*i**3 - 1/5*i**2 - 114. Solve v(g) = 0.
-2, 0
Suppose 0*n**2 + 0*n + 0 - 3/5*n**5 + 9/5*n**4 + 6*n**3 = 0. Calculate n.
-2, 0, 5
Let h(g) = -156*g - 307. Let o be h(-2). Let n(v) be the first derivative of -35/2*v**2 + v**o + 15 + 10*v - 25/4*v**4 + 15*v**3. Suppose n(b) = 0. Calculate b.
1, 2
Let -18*s**2 + 15*s**3 - 117*s**2 - 131*s - 154*s + 110 - 5*s**2 = 0. What is s?
-2, 1/3, 11
Let b(s) = 62*s**3 - 186*s**2 + 322*s - 86. Let i(g) = 20*g**3 - 62*g**2 + 107*g - 28. Let y(t) = -5*b(t) + 16*i(t). Suppose y(m) = 0. Calculate m.
1/5, 3
Let c = 144987 + -144983. Let 0 + 2/3*k**c - 8/3*k + 6*k**2 - 4*k**3 = 0. Calculate k.
0, 1, 4
Suppose -9*j + 8 = -13*j. Let q be 304/28 + (39/(-21) - j). Factor -3*k**3 - 5*k**3 + q*k**3.
3*k**3
Find g such that -23*g**3 + 34*g - 20*g**2 + 10*g - 87868*g**4 + 87867*g**4 = 0.
-22, -2, 0, 1
Suppose 17 = -3*f - d + 43, 4*f - 4*d - 8 = 0. Let o be ((-6)/f)/(4/(-14)). Factor -2*a**o + 2*a**4 + 2*a - 6*a**2 + 2 + 2*a**5 + 0*a**2 + 2*a**2 - 2*a**3.
2*(a - 1)**2*(a + 1)**3
Let y(b) be the second derivative of -3*b**7/98 + 16*b**6/35 - 57*b**5/28 + 53*b**4/14 - 20*b**3/7 + 7*b - 55. Solve y(d) = 0 for d.
0, 1, 2, 20/3
Let a be (-8)/(-2) - (7 - 6)*-67. Let i = a + -69. Factor 20*s + 3*s**i + 0*s**3 - 3*s**3 - 2*s.
-3*s*(s - 3)*(s + 2)
Let s(f) be the second derivative of 1/60*f**5 + 0*f**3 - 13 + 5/12*f**4 - 2*f + 0*f**2. Find p, given that s(p) = 0.
-15, 0
Let u(l) be the third derivative of -7*l**6/720 - l**5/80 - 16*l**3 - 2*l**2 - 4*l. Let c(r) be the first derivative of u(r). Suppose c(t) = 0. What is t?
-3/7, 0
Let b = -65 + 35. Let r = 32 + b. Factor -348*j**3 + 12*j**r + 15*j + 351*j**3 + 2 + 4.
3*(j + 1)**2*(j + 2)
Let v = 3188438/39201 - 30/13067. Factor v*u - 40 + 4/3*u**3 - 128/3*u**2.
4*(u - 30)*(u - 1)**2/3
Let c(f) be the first derivative of -4*f**6/27 - 34*f**5/15 - 203*f**4/18 - 628*f**3/27 - 44*f**2/3 + 112*f/9 + 647. Solve c(m) = 0 for m.
-7, -2, 1/4
Let -472/17*p + 234/17*p**3 + 0 + 240/17*p**2 - 2/17*p**4 = 0. Calculate p.
-2, 0, 1, 118
Suppose 0 = 3*o + 3*a - 0 + 3, 3*o = 2*a + 12. Let m(z) be the second derivative of 5/6*z**3 - z + 0*z**o + 5/12*z**4 + 0. Factor m(j).
5*j*(j + 1)
Let d = -3364/27 + 37058/297. Factor -4/11*c**2 + 4/11 + d*c**3 - 2/11*c.
2*(c - 2)*(c - 1)*(c + 1)/11
Let y(g) = -g**3 + 20*g**2 + 95*g + 6. Let b be y(-4). Let a be 304/40 - (-6 + b). Factor -2/5*x**2 - a*x - 16/5.
-2*(x + 1)*(x + 8)/5
Let z(c) = 32*c**2 - 22. Let g be z(3). Factor -129*y + g*y - 122*y - 6*y**3 - 27*y**2.
-3*y*(y + 5)*(2*y - 1)
Suppose 0 = 314*j - 233*j - 1134. Determine p, given that -1/2*p**2 - j*p - 98 = 0.
-14
Let f be 2/(-4)*((-319)/29 + 11). Let d(h) be the second derivative of f + 0*h**3 - h**5 + 20*h + 1/6*h**6 + 0*h**2 + 5/3*h**4. Factor d(n).
5*n**2*(n - 2)**2
Let s(f) be the second derivative of 7*f**6/30 - 276*f**5/5 + 625*f**4/4 - 233*f**3/3 - 156*f**2 - 5972*f. Let s(o) = 0. Calculate o.
-2/7, 1, 156
Let a(q) be the first derivative of q**4 + 28*q**3/3 - 68*q**2 - 160*q + 141. Factor a(u).
4*(u - 4)*(u + 1)*(u + 10)
Let w = 2068 + 20499. Determine q, given that 3 + 378*q**4 - 261*q**3 + 22714*q**5 - 3 - 228*q**2 - 36*q - w*q**5 = 0.
-3, -2/7, 0, 1
Let a(r) be the second derivative of r**4/12 + r**3 + 5*r**2/2 + 2*r - 57. Let h(d) = d**2 + 5*d + 4. Let n(v) = 6*a(v) - 5*h(v). Let n(l) = 0. Calculate l.
-10, -1
Solve -72 - 3/4*b**3 - 21*b**2 - 75*b = 0 for b.
-24, -2
Let w(p) be the first derivative of p**3/18 - 31*p**2/12 - 11*p + 169. Factor w(h).
(h - 33)*(h + 2)/6
Suppose 42*c - 27 = 41 + 58. Let k(a) be the second derivative of 1/10*a**5 + 0 + 1/12*a**4 + 0*a**2 + 0*a**3 + 1/30*a**6 + c*a. What is h in k(h) = 0?
-1, 0
Let d(i) be the first derivative of 2/9*i**3 - 2*i**2 + 10/3*i + 54. Factor d(n).
2*(n - 5)*(n - 1)/3
Let i = -1444 + 1444. Let r(t) be the second derivative of i + 4/3*t**4 + 2/3*t**3 - 17*t + 3/5*t**5 + 0*t**2. Determine b, given that r(b) = 0.
-1, -1/3, 0
Suppose 0 = 3*u - 30, -u - 86 = -3*g - 5*g - 0*u. Determine h, given that 32/3*h - 1/3*h**3 - 5/3*h**2 - g = 0.
-9, 2
Let o = -786 - -786. Suppose 23 = 4*x - 5*t + 28, o = t - 1. Factor -4/7*n - 2/7*n**5 - 10/7*n**4 + x - 18/7*n**3 - 2*n**2.
-2*n*(n + 1)**3*(n + 2)/7
Factor -1173/7*c**2 + 3/7*c**3 + 115245/7*c - 114075/7.
3*(c - 195)**2*(c - 1)/7
Let x(w) = -12*w + 66. Let n be x(4). Suppose 10*y - 2 = n. Factor 0*d**y + 9/4*d + 3/2 - 3/4*d**3.
-3*(d - 2)*(d + 1)**2/4
Suppose -516978*m + 516955*m = -92. Suppose 4/7*f**m + 0*f + 0*f**3 - 8/7*f**2 + 4/7 = 0. Calculate f.
-1, 1
Solve -9/2*b**2 - 378 + 345/2*b = 0 for b.
7/3, 36
Let r be (8/(-25))/((-56)/140). Let k be (-119)/(-420)*9 - (-9)/(-12). Determine h so that -4*h - r - k*h**2 = 0.
-2, -2/9
Suppose 30*p - 15*p - 20 = 11*p. Let h(v) be the third derivative of 5/3*v**3 - 1/12*v**p + 0 + 5/24*v**4 + 11*v**2 + 0*v. Factor h(k).
-5*(k - 2)*(k + 1)
Suppose 7*k + 11*k - 57 = -0*k - k. Factor 512/9 - 320/3*y + 386/9*y**2 + 2/9*y**4 + 20/3*y**k.
2*(y - 1)**2*(y + 16)**2/9
Let x be 24/30*10/2. Factor -12 + 59188*f - 6*f**3 + 2*f**2 - 59166*f - 8*f**2 + 2*f**x.
2*(f - 3)*(f - 1)**2*(f + 2)
Factor 4232*a - 1/2*a**4 - 874*a**2 + 0 - 44*a**3.
-a*(a - 4)*(a + 46)**2/2
Let r be (4/24)/(11/55). Let p(v) be the third derivative of 0*v - 1/15*v**5 + r*v**4 - 8/3*v**3 + 0 + 19*v**2. Factor p(x).
-4*(x - 4)*(x - 1)
Let r(j) be the third derivative of 2*j**7/105 - j**6/10 - 13*j**5/15 + 5*j**4/2 + 2897*j**2. Suppose r(h) = 0. Calculate h.
-3, 0, 1, 5
Let y(o) be the second derivative of -1 - 1083*o**2 - 19*o**3 - 1/8*o**4 + 14*o. Let y(i) = 0. What is i?
-38
Let m(v) be the third derivative of 0*v + 0 - 17/3*v**4 + 22/3*v**3 - 41/15*v**5 + 2/15*v**6 + 224*v**2. Let m(j) = 0. What is j?
-1, 1/4, 11
Let z = 68 - 66. Let d be 57/21 - z/(-7). What is k in 120*k**4 + 5*k**5 - 116*k**3 - 24 - 121*k**d + 174*k**2 - 26*k**5 - 12*k = 0?
-2/7, 1, 2
Suppose h + 1 = 0, 6*u - 32*h = -29*h + 15. Let 7/5*b**4 + 5*b**u + 1/5*b**5 + 19/5*b**3 + 16/5*b + 4/5 = 0. What is b?
-2, -1
Suppose -4*m - 2*x + 8 = 2*x, -5*m + 8 = 4*x. Suppose m = -4*h + 38 - 22. Factor -8 - 2*t - 56*t**3 - 17*t - h*t**5 - 23*t - 24*t**4 + 6*t - 64*t**2.
-4*(t + 1)**4*(t + 2)
Let k(w) be the second derivative of -w**5/20 - 37*w**4/2 - 2738*w**3 - 202612*w**2 + 104*w. Factor k(l).
-(l + 74)**3
Suppose 3*v = -3*v. Let y(h) be the third derivative of 0 - 5/8*h**4 + 5/3*h**3 + v*h + 1/8*h**6 - 1/12*h**5 - 1/42*h**7 - 15*h**2. Factor y(d).
-5*(d - 2)*(d - 1)**2*(d + 1)
Let 73/3 + 1/3*v**3 - 73/3*v**2 - 1/3*v = 0. Calculate v.
-1, 1, 73
Suppose 6*v - 334 = -136. Let -3*o**3 - 2*o + o**3 + 20*o**2 - 49*o**2 + v*o**2 = 0. Calculate o.
0, 1
Let b(s) be the first derivative of s**5/15 + 122*s**4/3 + 19682*s**3/3 - 59780*s**2/3 + 60025*s/3 - 373. Factor b(q).
(q - 1)**2*(q + 245)**2/3
Find h such that -1108/5 - 4/5*h**2 - 1112/5*h = 0.
-277, -1
Let s = 440 - 438. Factor -6*x**3 + 31*x**s - 13*x**2 + 3*x**3 - 7*x**3 + 5*x - 13*x**2.
-5*x*(x - 1)*(2*x + 1)
Let j be (-7)/3*(-1728)/126. Let v(n) be the third derivative of 1/30*n**4 + 1/300*n**5 + j*n**2 + 1/10*n**3 + 0*n + 0. Solve v(b) = 0.
-3, -1
Let y = 221 - 221. Let p be 8/(-36) + 8/(-54)*-15. Solve y*u**p + 1/2 - 3/4*u + 1/4*u**3 = 0.
-2, 1
Let q be (-138)/1104*(-16)/10. Let y(b) be the first derivative of b**2 - 5/3*b**3 - 34 + 0*b + b**4 - q*b**5. Factor y(k).
-k*(k - 2)*(k - 1)**2
Factor -6*d**2 - 27904*d**4 - 10658*d**5 - 2368*d**3 - 58*d**2 + 5420*d**4.
-2*d**2*(d + 2)*(73*d + 4)**2
Let j(n) be the third derivative of 1/60*n**5 - 1/1344*n**8 + 42 - 1/420*n**7 + 1/240*n**6 - 1/12*n**3 - 1/96*n**4 + 0*n - n**2. Suppose j(k) = 0. Calculate k.
-2, -1, 1
Let f(c) = -27*c**2 + 2043*c - 3933. Let m(