-266
Let t(p) be the first derivative of p**5/25 + 67*p**4/5 + 8978*p**3/5 + 601526*p**2/5 - 168*p - 183. Let c(y) be the first derivative of t(y). Factor c(d).
4*(d + 67)**3/5
Let q(r) be the third derivative of r**6/30 + 11*r**5/15 - 38*r**4/3 + 128*r**3/3 - 220*r**2 + 3. Factor q(h).
4*(h - 4)*(h - 1)*(h + 16)
Let b(u) be the second derivative of u**8/2352 + 11*u**7/1470 + 31*u**2 - 67*u + 2. Let p(j) be the first derivative of b(j). Find l such that p(l) = 0.
-11, 0
Let g(s) be the third derivative of -s**6/300 + 121*s**5/150 + 1516*s**2. Factor g(x).
-2*x**2*(x - 121)/5
Suppose 7*b - 812 - 63 = 0. Factor -b - 4*h**2 + 51*h**3 + 175*h - 51*h**2 - 46*h**3.
5*(h - 5)**2*(h - 1)
Let s(z) = -381*z + 27053. Let l be s(71). Suppose 0 + 4/11*f - 86/11*f**l = 0. What is f?
0, 2/43
Let n(b) = -4*b**4 + 20*b**3 - 8*b**2 - 104*b + 136. Let r(o) = -o**3 + 2*o**2 - 2*o + 2. Let t(j) = n(j) - 4*r(j). Suppose t(l) = 0. Calculate l.
-2, 2, 4
Let u(q) be the second derivative of q**4/3 - 1332*q**3 - 3998*q**2 + 3416*q. Determine l, given that u(l) = 0.
-1, 1999
Suppose -1 = 3*l + 4*q, 2*l - 3*q - 18 = -q. Let -17*b**3 - 12*b**l + 229*b**3 - 15*b**5 + 31*b**5 + 112*b**4 + 104*b**2 = 0. What is b?
-26, -1, 0
Let c(v) be the third derivative of -v**8/84 + 2*v**7/15 - v**6/2 + 13*v**5/15 - 2*v**4/3 + 820*v**2. Find n such that c(n) = 0.
0, 1, 4
Let t = 1387115 - 1387113. Find x such that 2/7*x**3 + 22/7*x**t + 78/7*x + 90/7 = 0.
-5, -3
Factor 0 + 1/6*p**2 - 295/6*p.
p*(p - 295)/6
Let f(o) = -o**2 + 2*o + 3. Let y(h) = -4*h + 2*h - 3*h**2 + 5*h + 6. Suppose -2 = 2*z + 2. Let d(b) = z*y(b) + 5*f(b). Factor d(q).
(q + 1)*(q + 3)
Suppose 1/5*v**3 + 891/5*v + 57/5*v**2 + 847 = 0. Calculate v.
-35, -11
Let j(b) be the first derivative of b**7/945 + 2*b**6/135 + 8*b**5/135 + 117*b**2/2 + 159. Let r(n) be the second derivative of j(n). Factor r(w).
2*w**2*(w + 4)**2/9
Let z(p) = 6*p**2 - 32*p - 30. Suppose -5*q = -5*t - 35, 5*q = 3*q + t + 11. Let g(j) = 4*j**2 - 33*j - 31. Let u(v) = q*g(v) - 3*z(v). Factor u(h).
-2*(h + 1)*(h + 17)
Let s be 20*(-6)/(-324)*(171/15 - 9). Factor s*l**3 - 2/9*l**4 + 8/9*l - 4/3*l**2 - 2/9.
-2*(l - 1)**4/9
Let p be 122/183*132/128. Let y(c) be the third derivative of 1/48*c**6 + 0*c - 22*c**2 + 5/6*c**3 - p*c**4 + 3/20*c**5 + 0. Factor y(z).
(z - 1)*(z + 5)*(5*z - 2)/2
Let m(u) = -3*u**3 - 9*u**2 + 27*u + 81. Let k = 557 - 550. Let x(b) = -b**3 - 3*b**2 + 9*b + 27. Let w(c) = k*x(c) - 2*m(c). Factor w(j).
-(j - 3)*(j + 3)**2
Factor -57 + 25/2*v - 1/2*v**2.
-(v - 19)*(v - 6)/2
Suppose 4*c = 2*u - 14, 8*c + 16 = 3*c + 4*u. Let q be c/2*(-3)/(-6) - -5. Solve 4/5*h - 4/5*h**3 - 2/5*h**q + 0 + 2/5*h**2 = 0.
-2, -1, 0, 1
Factor -1/3*d**3 - 243 - 55/3*d**2 - 261*d.
-(d + 1)*(d + 27)**2/3
Let p(t) = -22*t**2 + 24*t + 176. Let z(r) = 2*r**2 - 2*r - 16. Suppose -h - 42 = 26. Let u(j) = h*z(j) - 6*p(j). Factor u(d).
-4*(d - 2)*(d + 4)
Let b be (18/(-20))/((-11)/((-22792)/(-222))). Find k such that -6/5 - 162/5*k**2 - 13*k**3 - 61/5*k + b*k**4 = 0.
-1, -2/7, -1/6, 3
Let y(p) = 2*p**2 - p - 2. Let b(a) = -a**2 - 161*a + 44. Let t(d) = b(d) + 6*y(d). Let j be t(15). Factor 3/8*v + 0 + 9/8*v**3 + 3/8*v**4 + 9/8*v**j.
3*v*(v + 1)**3/8
Suppose 26*n - 24*n = 4. What is i in 2*i**5 + 4*i**n + 147*i**4 - 5*i**3 - 151*i**4 + 3*i**3 = 0?
-1, 0, 1, 2
Let t(c) be the second derivative of -c**6/20 + 39*c**5/40 - 27*c**4/4 + 23*c**3 - 42*c**2 + 551*c. Find o such that t(o) = 0.
2, 7
Let u(h) = 5*h**3 - 9*h**2 + 6*h + 88. Let a(z) = 2*z**3 - 3*z**2 + z + 30. Let r(p) = 8*a(p) - 3*u(p). Solve r(k) = 0 for k.
-4, -2, 3
Let t(l) be the third derivative of 0*l + 5/6*l**4 + 0*l**5 + 121*l**2 + 0 - 1/24*l**6 + 0*l**3. Find f, given that t(f) = 0.
-2, 0, 2
Let t(z) be the first derivative of -2*z**6/3 + 1224*z**5/5 + 615*z**4 + 1232*z**3/3 - 826. Factor t(r).
-4*r**2*(r - 308)*(r + 1)**2
Let s(c) be the third derivative of c**8/1344 + 29*c**7/840 + 277*c**6/480 + 329*c**5/80 + 195*c**4/16 - 16*c**2 - 7*c + 1. Find k such that s(k) = 0.
-13, -10, -3, 0
Let g(d) be the third derivative of d**5/210 + 11*d**4/84 - 6*d**3 - 355*d**2 - 2. Factor g(a).
2*(a - 7)*(a + 18)/7
Suppose 400*c - 1260 = 85*c. Let f(h) be the third derivative of 0*h**6 + 1/1050*h**7 + 0*h**c + 0*h**5 + 0 + 1/3360*h**8 + 0*h + 19*h**2 + 0*h**3. Factor f(u).
u**4*(u + 2)/10
Let l(m) be the second derivative of -m**7/105 + 84*m**6/25 - 251*m**5/50 - 3440*m. Factor l(g).
-2*g**3*(g - 251)*(g - 1)/5
Let l(c) be the first derivative of -1/18*c**4 - 5/9*c**3 - 18 + 2*c**2 - 33*c. Let v(r) be the first derivative of l(r). Factor v(t).
-2*(t - 1)*(t + 6)/3
Factor 4/5*a**3 - 16/5*a**2 + 16/5 - 1/5*a**5 + 0*a + 3/5*a**4.
-(a - 2)**3*(a + 1)*(a + 2)/5
Suppose 5032*z + 1309*z = 5623 + 5277 + 27146. Find t such that 9/8*t**2 + z*t - 3/8*t**3 + 9/2 = 0.
-2, -1, 6
Let y(w) be the first derivative of w**4/2 + 88*w**3/3 - 141*w**2 + 7375. Factor y(v).
2*v*(v - 3)*(v + 47)
Let h be (-4)/(-7) + (-31)/(-7) + -3. Suppose -127 + 82 - 3*b**2 - b**h - b**2 - 50*b = 0. Calculate b.
-9, -1
Let l(r) be the second derivative of 0*r**2 + 0 - 41*r + 0*r**3 + 1/2*r**4 + 1/14*r**7 - 9/20*r**5 + 0*r**6. Factor l(k).
3*k**2*(k - 1)**2*(k + 2)
Let s(m) = -4*m + 1. Let q be s(9). Let v = q + 40. Factor v*i - 6 + 15*i**3 - 3*i**4 - 17*i**2 + 9*i - 10*i**2 + 7*i.
-3*(i - 2)*(i - 1)**3
Determine z, given that 100*z**2 + 9903*z - 16*z**4 + 17*z**3 + 3*z**4 - 17*z**4 - 2*z**3 - 5*z**5 - 9843*z = 0.
-6, -1, 0, 2
Let v(j) be the third derivative of -1/14*j**7 - 2*j - 11/20*j**6 + 0*j**3 + 13/5*j**5 + 78*j**2 + 3*j**4 + 0. Factor v(y).
-3*y*(y - 2)*(y + 6)*(5*y + 2)
Let m(c) = 2*c**2 - 33*c - 89. Let k(l) = l**2 - 16*l - 45. Let b(g) = -5*k(g) + 3*m(g). Suppose b(d) = 0. What is d?
-2, 21
Let y(a) = 10*a**3 - 55*a**2 - 5*a. Let b(p) = -11*p**3 + 55*p**2 + 6*p. Let h be 2 - -3 - (6 + -6). Let k(d) = h*b(d) + 6*y(d). Factor k(n).
5*n**2*(n - 11)
What is i in 57 - 1/4*i**2 - 8*i = 0?
-38, 6
Let k = -1427/2 + 19265/27. Let d(r) be the second derivative of 0*r**2 - 1/90*r**5 + 0*r**3 - k*r**4 + 0 + 1/135*r**6 + 14*r + 1/189*r**7. Factor d(t).
2*t**2*(t - 1)*(t + 1)**2/9
Determine i so that -1/7*i**2 - 216225/7 + 930/7*i = 0.
465
Suppose 136*q - 134*q + 20 = 0. Let y = 0 - q. Factor 56*i**2 + 14*i**3 + y*i**2 - 24*i - 29*i**3.
-3*i*(i - 4)*(5*i - 2)
Suppose -128 + 434 = 2*c. Factor -x**2 - 137 - 3*x**2 + 12*x + c.
-4*(x - 4)*(x + 1)
Let w(b) be the first derivative of -2*b**3/21 - 264*b**2/7 - 34848*b/7 - 1545. Factor w(p).
-2*(p + 132)**2/7
Let u(o) = o**3 - 20*o**2 - 23*o + 46. Let c be u(21). Factor 65*v + v**2 - 4*v**2 - c*v - v.
-3*v*(v - 20)
Find o such that 2/7*o**2 + 12/7 + 2*o = 0.
-6, -1
Let d(q) be the third derivative of q**6/30 + 59*q**5/15 + 115*q**4/6 + 38*q**3 - 128*q**2 + q. Solve d(o) = 0.
-57, -1
Suppose -17*c = 6172 + 6238. Let v be ((-876)/c)/((-18)/(-160)). Suppose -128/3*f + 0 + v*f**2 - 2/3*f**3 = 0. Calculate f.
0, 8
Let f(q) be the third derivative of q**5/540 - q**4/27 - q**3/6 + 1427*q**2. Factor f(c).
(c - 9)*(c + 1)/9
Let k be ((-26)/(-60))/((-120)/(-720)) + 7/5. Let l(r) be the third derivative of -2*r**2 + 23 - 1/60*r**5 + 5/24*r**k - 2/3*r**3 + 0*r. Factor l(w).
-(w - 4)*(w - 1)
Factor 6/5*c**3 + 64/5*c**2 + 184/5*c + 96/5.
2*(c + 4)*(c + 6)*(3*c + 2)/5
Let 3*a**3 + 0 - 76/3*a**2 + 1/3*a**4 - 28*a = 0. Calculate a.
-14, -1, 0, 6
Let b(i) = -2*i**2 - 30*i + 20. Let z = -122 + 133. Let d(t) = -4*t**2 - 59*t + 41. Let n(a) = z*b(a) - 6*d(a). What is g in n(g) = 0?
-13, 1
Let q(c) be the third derivative of 1/80*c**6 - 3/70*c**7 + 0*c + 0 - 7/4*c**3 - 1/16*c**4 - 296*c**2 + 13/40*c**5. Let q(v) = 0. Calculate v.
-1, 1, 7/6
Suppose -76*u + 37*u - 6 = -42*u. Let g(m) be the first derivative of -1/2*m**u + 1/2*m**4 + 0*m + 1/3*m**3 - 22. Factor g(x).
x*(x + 1)*(2*x - 1)
Suppose -1810*u + 10 + 1811*u - u**2 + 65 + 231 = 0. Calculate u.
-17, 18
Factor 951/5*p**2 - 11*p**3 + 1/5*p**4 - 5129/5*p + 4232/5.
(p - 23)**2*(p - 8)*(p - 1)/5
Let r = -875782 - -6120494/7. Let z = r - -1426. Find y, given that 0 + 2/7*y - z*y**2 = 0.
0, 1
Let j(v) = v**4 - v. Let b(m) = 17*m**4 + 33*m**3 + 95 + 174*m + 1 + 126*m**2 + 4*m**4. Let c = 2135 - 2134. Let x(k) = c*b(k) - 18*j(k). Solve x(t) = 0 for t.
-4, -2, -1
Let v(f) be the third derivat