 - 2 = 0, -5*m + 6*o = -28. Let w(s) be the second derivative of 25*s + 0 - 1/3*s**4 - 128*s**m - 32/3*s**3. Factor w(n).
-4*(n + 8)**2
Let n(y) be the second derivative of y**5/4 - 85*y**4/6 + 155*y**3/2 - 2*y + 3183. Factor n(f).
5*f*(f - 31)*(f - 3)
Let n = 192 + -188. Let t(o) be the first derivative of -4/5*o**5 + 8/3*o**3 - 2*o**2 + 2*o**n - 4*o - 2/3*o**6 + 11. Find h, given that t(h) = 0.
-1, 1
Let j(s) be the second derivative of -s**6/120 + 7*s**5/80 + 13*s**4/16 + 53*s**3/24 + 11*s**2/4 + 73*s + 5. Factor j(b).
-(b - 11)*(b + 1)**2*(b + 2)/4
Factor 6/7*w**2 + 129/7 - 261/7*w.
3*(w - 43)*(2*w - 1)/7
Suppose 44/3*d**2 + 2/3*d**3 + 320/3*d + 256 = 0. What is d?
-8, -6
Let p(g) = -4*g**2 - 30*g - 3. Let b(y) = 5*y**2 + 31*y + 4. Suppose t = -4*q + 16, q + 15 = 4*q. Let h(x) = t*p(x) - 3*b(x). Factor h(o).
o*(o + 27)
Let x = -8777 + 8782. Let i(t) be the first derivative of 28 - 25/9*t**3 - x*t + 5/12*t**4 + 35/6*t**2. Factor i(w).
5*(w - 3)*(w - 1)**2/3
Let x(z) be the first derivative of -z**6/90 + z**5/30 + z**4/12 - 2*z**3/9 - 2*z**2 - z + 74. Let u(n) be the second derivative of x(n). Factor u(k).
-2*(k - 2)*(k + 1)*(2*k - 1)/3
Let x(p) = 5*p - 118. Let w be x(24). Determine i, given that 4*i - i**w - 2*i**3 + 3*i**4 - i**3 - 6*i**2 + i**5 + 2*i = 0.
-3, -2, 0, 1
Let h be (-3 - 157) + 6 + -3 + 1. Let i = -1090/7 - h. Determine v, given that -i*v - 1/7*v**2 - 1/7 = 0.
-1
Let i(w) = -5*w**3 + 657*w**2 - 1299*w + 656. Let t(p) = p**3 - 164*p**2 + 325*p - 164. Let g(u) = 2*i(u) + 9*t(u). Let g(r) = 0. Calculate r.
-164, 1
Suppose -36 + 42 = 5*s - 2*o, 2*s - 8*o + 12 = 0. Find k such that 0*k + 4/3*k**s + 2/9*k**3 + 0 = 0.
-6, 0
Let y(m) be the first derivative of m**5/15 + 2*m**4/3 - 49*m**3/3 + 93*m**2 - 216*m + 1880. Let y(t) = 0. Calculate t.
-18, 3, 4
Let i(v) be the first derivative of -7/6*v**2 - 67 + 0*v + 1/9*v**3. Factor i(q).
q*(q - 7)/3
Let l = -15 - -11. Let z be (-7*4/(-588))/(l/(-24)). Find d, given that 2/7*d**2 - z*d**3 + 2/7*d**5 + 0 + 0*d - 2/7*d**4 = 0.
-1, 0, 1
Let a be 63/14 + (-2)/4. Find f, given that -f**2 + 61*f**a + 137*f**4 - 138*f**4 - 3*f**2 - 8*f**3 = 0.
-1/5, 0, 1/3
Let g(h) = -6*h**4 + 436*h**3 - 1622*h**2 + 1618*h + 60. Let u(j) = 2*j**4 - 145*j**3 + 541*j**2 - 539*j - 18. Let l(b) = -3*g(b) - 10*u(b). Factor l(a).
-2*a*(a - 67)*(a - 2)**2
Let h be (-4 + (-56)/(-21))*18/(-12). Suppose -3*w - 21 + 13 = -5*b, 5*b - h*w - 12 = 0. Factor -4*l**b - 14/13*l**5 + 2/13*l + 4/13 - 32/13*l**2 - 68/13*l**3.
-2*(l + 1)**4*(7*l - 2)/13
Let t = -24967 + 49935/2. Determine x, given that -3/4*x + 0*x**2 + 1/4*x**3 - t = 0.
-1, 2
Let j(y) be the third derivative of -y**7/3465 - y**6/264 - y**5/60 - 13*y**4/6 + y**3/3 - 114*y**2. Let x(k) be the second derivative of j(k). Factor x(p).
-2*(p + 1)*(4*p + 11)/11
Let u be 16 - 0 - (7 + -9). Suppose m - 28 = -13*m. Factor -5*z**m + 19 - 46 - u - 30*z.
-5*(z + 3)**2
Factor -10*r**4 - 79*r - 1865*r**2 + 20*r + 2005*r**2 - r**5 + 3*r**3 - 137*r.
-r*(r - 2)**2*(r + 7)**2
Let x(h) be the third derivative of -h**6/240 - 77*h**5/60 + 629*h**4/48 - 79*h**3/2 + 8*h**2 + 13*h - 10. Suppose x(c) = 0. Calculate c.
-158, 1, 3
Suppose 60*u - 53*u = -21. Let a(g) = 18*g**3. Let b(r) = r**4 - 54*r**3. Let w(k) = u*b(k) - 8*a(k). Factor w(p).
-3*p**3*(p - 6)
Let n(l) be the third derivative of l**7/105 - l**6/12 - 137*l**5/30 - 73*l**4/4 + 120*l**3 - 2*l**2 + 70*l + 3. Determine h so that n(h) = 0.
-8, -3, 1, 15
Let w(z) be the second derivative of 7*z**4/54 - 10939*z**3/27 - 1042*z**2/3 + 2338*z - 1. Determine f, given that w(f) = 0.
-2/7, 1563
Let o(s) be the second derivative of -s**5/70 + 10*s**4/21 - 16*s**3/7 - 576*s**2/7 - 919*s. Determine q, given that o(q) = 0.
-4, 12
Let i(q) be the first derivative of 1/16*q**4 - 1/12*q**3 - 1/8*q**2 + 1/20*q**5 - 20 + 0*q. Suppose i(v) = 0. Calculate v.
-1, 0, 1
Suppose 7 - 7 = 104*w - 930*w. Suppose w*z + 1/3*z**3 + 0 + z**2 = 0. Calculate z.
-3, 0
Let x(s) = 12*s - 15. Let p be x(-1). Let i be (p/(-12))/(21/28). Factor -6/7 - 9/7*q**2 + 3/7*q**4 - 3/7*q**i + 15/7*q.
3*(q - 1)**3*(q + 2)/7
Let a(w) = -2*w - 35. Let d be a(-9). Let h = d + 20. Suppose 44 - 22*r**h + 10*r**3 - 48 + 8*r**2 - 4*r**4 + 6*r**5 + 6*r = 0. What is r?
-1, 2/3, 1
Let w(s) be the second derivative of 3*s**5/10 + 83*s**4/6 - 115*s**3/3 + 29*s**2 - 334*s + 3. Factor w(c).
2*(c - 1)*(c + 29)*(3*c - 1)
Solve 1315*p + 572 - 243*p - 480*p - 606*p - 554*p - 4*p**2 = 0.
-143, 1
Suppose 3*w = l + 6, -5*l - 43 = w - 61. Let v(r) be the first derivative of -1/2*r**6 + 0*r**2 - 14 - l*r**5 - 4*r**3 + 0*r - 6*r**4. Factor v(u).
-3*u**2*(u + 1)*(u + 2)**2
Let b be (40/224)/(2115/1974). Factor -2/3*n**2 + 1/6*n + 2/3 - b*n**3.
-(n - 1)*(n + 1)*(n + 4)/6
Let r(m) be the second derivative of m**4/42 - 229*m**3/7 + 98*m**2 + 3*m + 146. Find n, given that r(n) = 0.
1, 686
Let y(s) be the second derivative of -s**7/12 + 11*s**6/15 - 89*s**5/40 + 8*s**4/3 - s**3 - 31*s - 22. Find k such that y(k) = 0.
0, 2/7, 1, 2, 3
Suppose 5*x + 3*s = 0, -3*s - 12 = -2*x + 9. What is i in -3*i**4 - 8*i**3 + 8*i**4 + 5*i**2 + 0*i**3 - 2*i**x = 0?
0, 1
What is h in 40*h**2 + 80 - 27*h + 17*h - 106*h - 4*h**3 = 0?
1, 4, 5
Let l(f) = 2*f**3 - 2*f**2 + 3*f - 2. Let c be l(2). What is n in 3*n**3 + 9*n**2 + c*n**3 - 27*n + 3*n**4 + 0*n**3 = 0?
-3, 0, 1
Suppose 6*x - 3*x - 43 = -2*k, 0 = 2*k - 2*x - 38. Factor 21*b**2 - 12 - k*b + 0*b**2 + 10*b - 14*b + 15*b**3.
3*(b - 1)*(b + 2)*(5*b + 2)
Let h be (-1 - 36/(-40))*(79 - 79). Let i(t) be the second derivative of 0*t**2 - 8/3*t**3 - t**4 + 16*t + 1/5*t**5 + h. Factor i(z).
4*z*(z - 4)*(z + 1)
Factor -692/5 - 6224/5*z + 36/5*z**2.
4*(z - 173)*(9*z + 1)/5
Let o(h) be the third derivative of 7/132*h**4 + 2 - 1/1155*h**7 + 1/132*h**6 - 3/110*h**5 + 47*h**2 - 2/33*h**3 + 0*h. What is x in o(x) = 0?
1, 2
Let b = -837 + 842. Let k(f) be the first derivative of -15/4*f**4 - 27/5*f**b + 5 + 16/3*f**3 + 2*f**2 + 0*f. Factor k(x).
-x*(x + 1)*(3*x - 2)*(9*x + 2)
Let x be 10/20 + (-18)/(-4). Suppose 4*t - x = 3. Find l, given that 3 - 4*l**t + 61*l - 61*l + l**2 = 0.
-1, 1
Let g(v) be the third derivative of -7*v**6/40 + 4*v**5/5 + 17*v**4/8 - 3*v**3 - 31*v**2 - 16. Determine h, given that g(h) = 0.
-1, 2/7, 3
Let 72*c**3 + 234*c + 11*c**2 + 18*c**2 + 4*c**2 - 132*c - 69*c**3 + 72 = 0. What is c?
-6, -4, -1
Let l(u) be the second derivative of -5*u**7/6 - 11*u**6/2 + 59*u**5/4 + 35*u**4/4 - 130*u**3/3 + 30*u**2 - 2*u - 314. Let l(y) = 0. What is y?
-6, -1, 2/7, 1
Let x = 112 + -110. Factor 4*w**4 - 8*w**3 - 20 - 56*w**x - 56*w - 84*w**2 + 92*w**2.
4*(w - 5)*(w + 1)**3
Let i(p) be the first derivative of -p**5/90 - p**4/2 - 9*p**3 + 42*p**2 - 8. Let u(q) be the second derivative of i(q). Let u(a) = 0. Calculate a.
-9
Factor 292*p**3 - 9218*p**2 - 6291*p**2 - 5215*p**2 - 86432*p - p**4 - 87616.
-(p - 148)**2*(p + 2)**2
Let a = 231/1637 + 733/18007. Suppose -114/11*r**2 + 0*r - a*r**3 + 0 = 0. What is r?
-57, 0
Let r be ((-22)/(-2) - 5)/(-12 + 2). Let d = r + 29/40. Solve 0 - 3/8*w + d*w**2 = 0 for w.
0, 3
Let j(w) = -2*w**3 + 137*w**2 + 15*w + 3728. Let a be j(69). Factor 28/3*n - 5/3*n**a + 4.
-(n - 6)*(5*n + 2)/3
Factor -43/3*n + 52 + 1/3*n**2.
(n - 39)*(n - 4)/3
Suppose 5*b - 31 = -11. What is h in 6*h + 16*h**2 + 6*h**3 - 4*h**2 - 212*h**4 + 4*h**2 + 208*h**b = 0?
-1, -1/2, 0, 3
Suppose 839 = -695*n + 3619. Solve -1/5*j**n + 3/5*j**2 - 2/5 + 1/5*j - 1/5*j**3 = 0 for j.
-2, -1, 1
Let w(n) be the third derivative of n**6/660 - 659*n**5/110 + 434281*n**4/44 - 286191179*n**3/33 - 3*n**2 - 3*n - 94. What is a in w(a) = 0?
659
Let u be 0 - (2 + 3/3). Let q be (-2 - u - 2)/(1/(-3)). Factor -c**q - 16*c - 29*c**5 + 31*c**5 - c**3 + 6*c**4 - 24*c**2 - 2*c**3.
2*c*(c - 2)*(c + 1)*(c + 2)**2
Let p be 0 - (-5 - (0 + -5 + 4)). Let l(t) be the second derivative of 0 + 5/12*t**p - 10*t + 5/6*t**3 + 0*t**2. Factor l(q).
5*q*(q + 1)
Let s(z) be the third derivative of -z**6/300 + 79*z**5/150 - 331*z**4/15 - 468*z**3/5 - 3080*z**2. Determine a so that s(a) = 0.
-1, 26, 54
Factor -1/4*z**5 - 149/4*z - 17/4*z**4 - 89/2*z**2 - 45/4 - 45/2*z**3.
-(z + 1)**3*(z + 5)*(z + 9)/4
Factor 455*j - 30*j**2 - 614*j + 6 + 216*j.
-3*(j - 2)*(10*j + 1)
Let r(x) = 5*x**3 - 1650*x**2 - 1630*x. Let n(c) = -8*c**