.
-(p - 105)**3*(p - 8)**2/6
Let p = -27 - -30. Factor 35*s**p + 0*s**4 - 12*s**2 - 20*s**3 - 3*s**4.
-3*s**2*(s - 4)*(s - 1)
Find q, given that -48*q + 75*q**3 + 60 + 1349*q**4 + q**5 - 25*q**2 - 1384*q**4 - 32*q + 4*q**5 = 0.
-1, 1, 2, 3
Let u(i) = -9*i**4 + 5*i**3 - i**2 + 11*i + 2. Let f(c) = -16*c**4 + 8*c**3 - c**2 + 22*c + 5. Suppose 8 = 3*j - 4. Let z(g) = j*f(g) - 7*u(g). Factor z(r).
-(r - 2)*(r + 1)**2*(r + 3)
Let t be (-2)/8 + 143/44. Suppose 31 = t*q - 4*f + 8*f, 0 = q - 3*f + 7. Determine d, given that 4*d**4 + 3*d**5 + 233*d - 6*d**3 + 4*d**2 - 4*d**q - 234*d = 0.
0, 1
Let x = 1510/7 + -214. Let j = 1514/7 - 1502/7. Factor 3/7*p**2 + x*p + j.
3*(p + 2)**2/7
Let q be 3 - (3/(-5) - 165/(-25)). Let g be 1*(0 - 0 - q). Factor c + c - 2*c**2 - c**2 + 3*c**g - 8*c.
3*c*(c - 2)*(c + 1)
Let p(y) be the first derivative of -y**6/30 - 21*y**5/25 + 249*y**4/20 - 611*y**3/15 + 282*y**2/5 - 36*y - 2683. Factor p(f).
-(f - 6)*(f - 1)**3*(f + 30)/5
Suppose 961*s = 965*s - 8. Factor -5*g**2 + 5*g**2 + 25*g**3 - 5*g**4 - 8*g**2 - 12*g**s.
-5*g**2*(g - 4)*(g - 1)
Suppose -2*h = -t - 117, -4*h + 3*t = -9*h + 309. Let x be 1/(-2)*h/(-4 + -6). Factor r**4 - r**x + 0*r + 0 + 1/3*r**2 - 1/3*r**5.
-r**2*(r - 1)**3/3
Factor 375*m**4 + m**2 - 303*m**4 + 39*m**3 + 4*m**2 + 27*m**5 + m**2.
3*m**2*(m + 2)*(3*m + 1)**2
Let n be 4*(-50)/440*-11. Let o(m) be the third derivative of 1/4*m**4 + 0*m**3 - 32*m**2 - 1/40*m**6 + 0*m + 1/20*m**n + 0. Factor o(t).
-3*t*(t - 2)*(t + 1)
Let k(g) be the second derivative of 125*g + 1/25*g**6 - 3/25*g**5 + 1/70*g**7 + 0 - 1/10*g**4 + 3/10*g**3 + 0*g**2. Solve k(f) = 0.
-3, -1, 0, 1
Let s be (-10)/6*((-72)/20 + 0). Let g be (3 + -4)/((-1)/2). Solve -s*y**g - 3 + 2*y**2 + y**2 + 6 = 0.
-1, 1
Let h(c) be the second derivative of -1/45*c**6 - 59*c - 7/9*c**4 + 8/9*c**3 + 0 + 0*c**2 + 7/30*c**5. Determine g, given that h(g) = 0.
0, 1, 2, 4
Let w(h) be the third derivative of h**8/42 - 106*h**7/105 + 46*h**6/3 - 1537*h**5/15 + 266*h**4 - 312*h**3 - 7018*h**2 - h. Let w(n) = 0. Calculate n.
1/2, 1, 6, 13
Let i(r) be the first derivative of 2*r**3/3 + 29*r**2/2 + 104*r - 151. Let b be i(-8). Factor -2*v**3 - 1/3*v + b + 4/3*v**2 - 1/3*v**5 + 4/3*v**4.
-v*(v - 1)**4/3
Let k(q) = 14*q - 167. Let m be k(26). Let x = m + -194. Solve 2/9*r**2 + 2/9*r**x + 0 + 0*r = 0.
-1, 0
Suppose q - 2*z + 674 = -174, q + 2*z + 852 = 0. Let f = q - -852. Suppose 0 + 21/4*p**4 - 11/4*p**f - 2*p**3 - 1/2*p = 0. What is p?
-1/3, -2/7, 0, 1
Let o be ((-17 - -33)/(-16))/(82/224 + 30/(-70)). Find t, given that -15/4*t**4 - o - 12*t + 1/4*t**5 + 47/4*t**3 + 79/4*t**2 = 0.
-1, 1, 8
Suppose 0 = 12*o - 2*o - 8 - 12. Let r(h) be the first derivative of -2/51*h**3 - 8/17*h**o + 9 - 32/17*h. Suppose r(l) = 0. Calculate l.
-4
Let y(v) be the third derivative of v**7/210 - 39*v**6/40 + 111*v**5/20 + 1021*v**4/24 + 95*v**3 + 17*v**2 + 2*v + 6. Factor y(s).
(s - 114)*(s - 5)*(s + 1)**2
Let v(b) be the first derivative of -4*b**3/3 + 12024*b**2 - 36144144*b - 1551. What is z in v(z) = 0?
3006
Suppose 4*w + 8 = 0, -5*w - 1 = -3*z + 3. Let x be -5 + (4 - z) - -3. Factor 22/3*k + 8/3*k**2 - 2/3*k**3 + x.
-2*(k - 6)*(k + 1)**2/3
Let h(q) be the first derivative of -4*q**3/3 + 90*q**2 - 176*q - 1523. Factor h(l).
-4*(l - 44)*(l - 1)
Suppose 3*l - 154 = -61. Factor l*h**2 - 2 + 14*h**2 - 29 + 2 - 5*h**4 - 35*h - 11 + 35*h**3.
-5*(h - 8)*(h - 1)*(h + 1)**2
Suppose -2 = 12*d - 11*d + 2*a, 3*a = -9. Factor -54 - 7384*w + 119*w**3 + 3*w**5 + 39*w**3 - 264*w**2 - 42*w**d - 3*w**3 + 7579*w + 7*w**3.
3*(w - 9)*(w - 2)*(w - 1)**3
Let x(h) be the second derivative of 1/15*h**3 + 2/5*h**2 + 7*h - 1/30*h**4 + 0. Factor x(n).
-2*(n - 2)*(n + 1)/5
Let d = -1748 - -1764. Let x(z) be the first derivative of -1/6*z**6 + 0*z + 0*z**2 + 0*z**3 + 1/4*z**4 + d + 0*z**5. Factor x(s).
-s**3*(s - 1)*(s + 1)
Suppose 38 + 2 = -2*t - 5*c, 0 = -4*t - 4*c - 56. Let r be 3/(15/t) + 5. Factor -48 - 168*i - 48*i**3 + 36*i**r + 7*i**2 + 57*i**2 + 29*i**2.
-3*(i - 4)**2*(4*i + 1)
Let c(g) be the third derivative of 11*g**7/1785 + 49*g**6/510 + 48*g**5/85 + 45*g**4/34 - 9*g**3/17 - 8*g**2 - 21*g + 1. Determine h, given that c(h) = 0.
-3, 1/11
Factor -280/3*h - 1525/3 + 5/3*h**2.
5*(h - 61)*(h + 5)/3
Let z = 3128 + -3124. Let b(q) be the second derivative of -1/8*q**z + 0 - 10*q - 9/4*q**2 + 5/4*q**3 - 3/40*q**5. Solve b(x) = 0 for x.
-3, 1
Let b be (-2 + (-33)/(-16))/((-1320)/(-352)). Let d(j) be the second derivative of 0*j**3 + 19*j + b*j**5 + 0 + 0*j**2 + 1/18*j**4. Factor d(u).
u**2*(u + 2)/3
Let d(g) be the third derivative of g**9/2592 - g**8/840 - g**7/1260 - 21*g**3 + 2*g**2 + 180. Let h(o) be the first derivative of d(o). Solve h(a) = 0.
-2/7, 0, 2
Let n(x) be the second derivative of -x**5/70 - 19*x**4/21 - 220*x**3/21 + 2904*x**2/7 - 16*x - 25. Factor n(p).
-2*(p - 6)*(p + 22)**2/7
Let f = -3137 - -3139. Let y(c) be the first derivative of 1/54*c**6 + 0*c**3 + 0*c**f + 1/45*c**5 + 7 - 1/18*c**4 + 0*c. Factor y(q).
q**3*(q - 1)*(q + 2)/9
Suppose -3*j - 573*o + 577*o = -14, -2*j - 3*o - 2 = 0. Find r, given that 10*r + 4/3 + 10/3*r**3 - 8*r**4 + 20*r**j = 0.
-1, -1/3, -1/4, 2
Suppose 749*s + 142 - 826 = 537 + 277. What is p in 11/2*p - 15 - 1/2*p**s = 0?
5, 6
Let y be (-21)/(((-72)/(-40))/((-12)/100)). Let w(a) be the first derivative of 21 + 48/5*a + 12/5*a**2 - y*a**3 + 3/20*a**4. Let w(j) = 0. Calculate j.
-1, 4
Let l(b) be the second derivative of 6/7*b**2 + 40*b - 1 - 5/14*b**3 + 1/28*b**4. Factor l(d).
3*(d - 4)*(d - 1)/7
Let r(n) = n**2 - 80*n + 256. Let c(k) = -4*k**2 + 401*k - 1276. Let m(h) = 2*c(h) + 11*r(h). Find o, given that m(o) = 0.
4, 22
Factor 0 + 0*r + 19/7*r**4 - 78/7*r**3 + 8/7*r**2.
r**2*(r - 4)*(19*r - 2)/7
Let p(o) be the first derivative of o**6/30 - 18*o**5/25 + 2*o**4/5 + 414*o**3/5 - 4617*o**2/10 - 5832*o/5 + 2374. Factor p(t).
(t - 9)**3*(t + 1)*(t + 8)/5
Let o(h) be the second derivative of -9 - 7*h - 11/4*h**4 + 1/10*h**6 + 9*h**3 - 6/5*h**5 + 0*h**2. Let o(l) = 0. Calculate l.
-2, 0, 1, 9
Let o = 325 - 319. What is z in -8*z**3 + 40*z**4 - 25*z**2 - 5*z**2 - 18*z**5 - 4 + 26*z - o*z**2 = 0?
-1, 2/9, 1
Let v(y) be the second derivative of -9/10*y**2 - 7/60*y**4 + 1/100*y**5 + 7 + 1/2*y**3 + 3*y. What is u in v(u) = 0?
1, 3
Let -110/3*u + 0 - 39*u**4 - 81*u**2 + 463/3*u**3 + 7/3*u**5 = 0. Calculate u.
-2/7, 0, 1, 5, 11
Let y(v) be the second derivative of -2*v**7/21 + 46*v**6/5 + 14*v**5 - 2869*v. Factor y(t).
-4*t**3*(t - 70)*(t + 1)
Let x be 118501/(-6543) - 3/(6/(-46)). Factor -1568/9 + x*z**3 - 118/3*z**2 - 2/9*z**4 + 1232/9*z.
-2*(z - 7)**2*(z - 4)**2/9
Let u be (-8)/(-8) + (0 - (-5149)/(-6876)). Let b = -2/1719 + u. Solve -1/4*j**2 + b - 1/4*j**3 + 1/4*j = 0 for j.
-1, 1
Let m(v) = -v**2 - 21*v + 1153. Let c be m(-46). Let g(w) be the first derivative of -3/2*w**2 + 8 + w**c + 0*w. Find i such that g(i) = 0.
0, 1
Let t(u) be the second derivative of -u**4/78 + 304*u**3/39 - 23104*u**2/13 + 671*u. Factor t(y).
-2*(y - 152)**2/13
Let a be 3/6 - 12/(-8). Factor f**a + 219 + 2*f**3 - f**3 - 219.
f**2*(f + 1)
Let s(b) be the first derivative of -b**4/18 - 8*b**3/27 + b**2/9 + 8*b/9 + 818. Solve s(m) = 0.
-4, -1, 1
Suppose -14 + 0*l**2 - 460 - 2790 + 268*l - 4*l**2 = 0. What is l?
16, 51
Let g(x) be the first derivative of 4*x**5/25 - 49*x**4/20 - 112*x**3/15 + 199*x**2/10 - 42*x/5 - 1110. Let g(u) = 0. What is u?
-3, 1/4, 1, 14
Suppose a + 9 = -2*d, 10*a + 10 = 5*d + 6*a. Let c(z) = -4*z**3 + 14*z**2 - 20*z + 8. Let g(v) = -v**3 + v - 1. Let k(q) = d*g(q) + c(q). Factor k(l).
-2*(l - 5)*(l - 1)**2
Let h(g) = -10*g**2 - 1215*g - 1255. Let l(o) = -11*o**2 - 1217*o - 1266. Let t(w) = 6*h(w) - 5*l(w). Suppose t(f) = 0. What is f?
-240, -1
Let c(t) be the first derivative of t**4/18 - 17*t**3/9 + 16*t**2/3 + 66*t - 54. Let s(g) be the first derivative of c(g). What is i in s(i) = 0?
1, 16
Let b(s) be the second derivative of -s**7/105 - 3*s**6/50 + 9*s**5/100 + 23*s**4/30 - 4*s**3/5 + 9923*s. Solve b(r) = 0.
-4, -3, 0, 1/2, 2
Solve 3/4*o**4 + 1/4*o**5 - 6 + 23/2*o - 11/4*o**3 - 15/4*o**2 = 0.
-4, -3, 1, 2
Let j(t) = t**3 - 14*t**2 - 33*t + 464. Let q be j(14). Let r(y) be the second derivative of 17*y + 0 + 1/27*y**3 - 1/108*y**4 + 0*y**q. Factor r(m).
-m*(m - 2)/9
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