(q).
-q**3*(q + 91)**2
Let y(i) be the third derivative of i**8/3780 - i**7/1260 + i**5/540 + 5*i**3/2 - 23*i**2 + 2*i. Let b(c) be the first derivative of y(c). Factor b(x).
2*x*(x - 1)**2*(2*x + 1)/9
Let r = 2805 + -2801. Let n(q) be the first derivative of 55/3*q**3 + 25/4*q**r - 19 + 35/2*q**2 + 5*q. Factor n(b).
5*(b + 1)**2*(5*b + 1)
Let 1296/13 - 8/13*a**4 - 2/13*a**5 + 1566/13*a + 648/13*a**2 + 84/13*a**3 = 0. What is a?
-3, 8
Let d(o) be the second derivative of -o**5/10 + 3*o**4/2 - 2*o**3 - 56*o**2 + 217*o. Factor d(v).
-2*(v - 7)*(v - 4)*(v + 2)
Let h be (4/17)/(-2) - (-28)/10948*46. Factor 2/3*m**3 + h + 50/3*m + 20/3*m**2.
2*m*(m + 5)**2/3
Let b(k) = -k**3 + 8*k**2 - 4*k - 16. Let y be b(7). Factor -312 + y*g**5 + 25*g**3 + 20*g**4 + 312 + 10*g**2.
5*g**2*(g + 1)**2*(g + 2)
Let n(z) = -15*z + 28*z - 16*z - 6. Let w be n(-3). Factor -w*b**2 + 3*b - 5 - 9 + 3*b + 23.
-3*(b - 3)*(b + 1)
Let b(s) be the first derivative of -s**3/6 - 91*s**2/2 - 180*s + 2205. Factor b(n).
-(n + 2)*(n + 180)/2
Factor -61*k**3 - 61*k**3 - 70*k**3 - 115*k**2 + 660 - 80*k + 187*k**3.
-5*(k - 2)*(k + 3)*(k + 22)
Let z(k) be the third derivative of -k**7/70 - 33*k**6/40 + 117*k**5/20 + 297*k**4/8 - 486*k**3 + 618*k**2 - 2*k. Factor z(a).
-3*(a - 3)**2*(a + 3)*(a + 36)
Let o be ((-6)/18)/((-1)/(-36)*4). Let l be 1/o + 62/42. Suppose -32/7*f**2 + l + 20/7*f**3 + 4/7*f = 0. Calculate f.
-2/5, 1
Let d = -322019 + 322022. Determine o so that 4/7*o**d + 468/7*o + 80/7*o**2 + 648/7 = 0.
-9, -2
Find n, given that 45/2*n**2 - 3/2*n**5 - 147/2*n**3 - 45/2*n**4 + 0 + 75*n = 0.
-10, -5, -1, 0, 1
Suppose -17*t = 3*b - 19*t, -b = 3*t - 11. Let f(u) be the second derivative of 0*u**3 + 0*u**4 + 8*u + 0 + 0*u**6 + 1/63*u**7 + 0*u**5 + 0*u**b. Factor f(r).
2*r**5/3
Let b(h) = 14*h**2 - h**3 - 49*h**2 + 9*h + 17*h**2 - 2 + 20*h**2. Let q be b(4). What is z in -4/7*z**3 + 0*z**q + 0*z + 0 = 0?
0
Let g(r) be the second derivative of r**4/102 + 5*r**3/17 + 44*r**2/17 + 17*r + 33. Suppose g(s) = 0. Calculate s.
-11, -4
Let c(t) be the third derivative of -t**8/784 - t**7/294 + 13*t**6/210 + t**5/5 - 8*t**4/21 - 32*t**3/21 + 740*t**2 - t. Solve c(h) = 0 for h.
-4, -2, -2/3, 1, 4
Factor 967*i**3 + 1756*i**2 - 5314*i**2 - 700*i - 2749*i**3 - 2*i**4 - 1078*i.
-2*i*(i + 1)**2*(i + 889)
Suppose -35*q = 8*q + 7*q + 8*q. Let x be 3/(-5)*16/(-12). What is j in 0 + x*j**2 + q*j = 0?
0
Let u(s) be the first derivative of -82 + 2100*s + 30*s**2 + 1/7*s**3. Factor u(l).
3*(l + 70)**2/7
Let q(b) be the first derivative of 2*b**6/15 + 32*b**5/25 - 539*b**4/5 + 968*b**3 - 9566. Factor q(k).
4*k**2*(k - 11)**2*(k + 30)/5
Suppose 189*y - 65*y = -149*y + 134 + 139. Factor 2/3*g - 1/3*g**2 + y.
-(g - 3)*(g + 1)/3
Let y(c) be the second derivative of 1/12*c**4 + 84*c + 0 - 5/3*c**3 + 0*c**2. Factor y(f).
f*(f - 10)
Let y = -160593 + 802966/5. Let 12/5*h**2 + 3/5 - 2*h - 6/5*h**3 + y*h**4 = 0. Calculate h.
1, 3
Let f(z) be the first derivative of 0*z + 1/4*z**4 + z**3 + 1/45*z**5 + 3/2*z**2 - 66. Solve f(o) = 0.
-3, 0
Let m(q) be the second derivative of -5*q**8/448 - 13*q**7/504 + q**6/72 + 3*q**4/4 + 2*q**2 + 62*q. Let x(y) be the third derivative of m(y). Solve x(a) = 0.
-1, 0, 2/15
Suppose 1794 = 779*h - 2101. Factor 0*s**3 - 1/2*s**h - 2*s**4 + 7*s**2 + 17/2*s + 3.
-(s - 2)*(s + 1)**3*(s + 3)/2
Let y(n) be the second derivative of 1/66*n**4 + 1/11*n**3 + 9*n + 0*n**2 + 4. What is c in y(c) = 0?
-3, 0
Let x = 409 - 407. Let -29*p**3 + 1608289 + 139*p**3 - 14143*p**x + 70*p**3 + 364500*p - p**4 + 1993*p**2 - 5708914 = 0. Calculate p.
45
Suppose -207*r + 208*r - 3 = 0. Factor -5*n**3 + 4*n**r + n**2 - 20*n + 9 + 5*n + 6*n**2.
-(n - 3)**2*(n - 1)
Determine q, given that 168/13 + 2/13*q**2 + 40/13*q = 0.
-14, -6
Let -1310/9*b**3 - 104/3*b**4 - 1952/9*b**2 - 632/9*b + 160/3 - 2*b**5 = 0. Calculate b.
-12, -2, -5/3, 1/3
Let z(y) = 2*y**2 + 42*y + 5. Let x be z(-23). Suppose x*t**2 - 175*t + 2*t**4 - 212*t - t**4 - 50*t**3 + 339*t = 0. Calculate t.
0, 1, 48
Let r(m) be the first derivative of m**3/3 - 61*m**2/2 - 62*m - 1758. Factor r(z).
(z - 62)*(z + 1)
Let h(o) be the third derivative of o**7/315 + 49*o**6/180 + 311*o**5/45 + 40*o**4/3 - 128*o**3 + 3362*o**2. Let h(q) = 0. What is q?
-24, -2, 1
Let f be 6*(115/10)/23. Let k(o) be the first derivative of 10/3*o**f + 20 + 1/2*o**4 + 8*o + 8*o**2. Determine a so that k(a) = 0.
-2, -1
Let g(w) = -2 + w**3 - 245*w**2 + 245*w**2 + w. Let s(o) = -3*o**3 - 27*o**2 - 53*o - 21. Let l(p) = -6*g(p) - 3*s(p). Solve l(d) = 0.
-25, -1
Let v(n) be the second derivative of -2*n**2 + 1/5*n**5 + 1/3*n**4 + 12 + 2*n - 2/3*n**3. Factor v(p).
4*(p - 1)*(p + 1)**2
Let b(a) be the second derivative of a**7/42 + 2*a**6/15 + 3*a**5/20 - a**4/3 - 2*a**3/3 - 6816*a. Factor b(c).
c*(c - 1)*(c + 1)*(c + 2)**2
Let j = 610 + -607. Suppose 5*p + 0*l - 1 = -l, 3*p + 3 = j*l. Factor 4/3*a**2 + 1/3*a**5 - 4/3*a**4 + a**3 + p - 4/3*a.
a*(a - 2)**2*(a - 1)*(a + 1)/3
Suppose -36*o + 224 = -8*o. Let y be (-66)/o + (-72)/(-8). Suppose y*v - 1/4*v**2 - 1/2 = 0. What is v?
1, 2
Let o be (3/18)/(2/36). What is k in -163*k**o + 28 + 210*k + 98*k**2 - 149*k**3 - 15 - 9 = 0?
-2/3, -1/52, 1
Suppose 25 = -17*k + 22*k. Suppose 0*c = -4*t + c + 9, -3 = -4*t - k*c. Let -31*d**2 + 4 + 3*d**2 - 12*d**t - 9 - 35*d + 80*d**3 = 0. What is d?
-1/4, 1
Suppose 4*p = -4*c - 32, p - 28 = 3*c + 2*p. Let z(x) = -x**3 + x. Let y(q) = -10*q**2 - 45*q**3 + 26 + 41 + 45*q - 57. Let j(t) = c*z(t) + y(t). Factor j(k).
-5*(k - 1)*(k + 1)*(7*k + 2)
Let b be (144/(-40))/1*(-245)/441. Factor -160/3 - 30*h - 5/3*h**b.
-5*(h + 2)*(h + 16)/3
Let m(p) be the first derivative of -56 + 5/2*p**2 - 8*p - 1/6*p**3. Find c such that m(c) = 0.
2, 8
Factor -571 - 22994*d + 5*d**2 - 2359 + 25919*d + 0*d**2.
5*(d - 1)*(d + 586)
Let c(v) be the first derivative of v**4/10 + 2*v**3/15 - 4*v**2 + 2307. Find n such that c(n) = 0.
-5, 0, 4
Let c(f) = 6*f**4 - 9*f**4 - 12*f**5 - 3*f**2 + 14*f**5 + 4*f**3 + 3. Let k(v) = -v**5 + v**4 + v**3 - v**2 - 1. Let i(h) = -4*c(h) - 12*k(h). Factor i(z).
4*z**2*(z - 2)*(z - 1)*(z + 3)
Let w = 3176 + -1863. Factor -17*q + 50*q - 29*q + 90*q + 3522 + q**2 - w.
(q + 47)**2
Suppose 913*s**2 - 122*s + 67*s - 918*s**2 - 50 = 0. What is s?
-10, -1
Let v = -8/27701 + 55442/138505. Solve 6/5*f**2 + v*f**4 + 2*f**3 - 2*f - 8/5 = 0 for f.
-4, -1, 1
Let r(z) = 2*z**3 + 2*z**2 - 12*z + 20. Let x(b) = 2*b**3 + 6*b**2 - 12*b + 22. Let o(h) = 3*r(h) - 2*x(h). Suppose o(t) = 0. Calculate t.
-2, 1, 4
Let j(o) be the third derivative of o**7/1890 + 47*o**6/540 - 122*o**5/135 + 115*o**4/36 - 11*o**3/2 + 422*o**2 - o - 5. Factor j(d).
(d - 3)*(d - 1)**2*(d + 99)/9
Let m(k) be the third derivative of 55/6*k**4 - 1/12*k**5 + 0*k - 215/6*k**3 - 3*k**2 + 7. Determine n, given that m(n) = 0.
1, 43
Let h(l) = -27*l**2 + 4310*l - 2. Let a(n) = -65*n**2 + 8625*n - 5. Let g(w) = 2*a(w) - 5*h(w). Find x such that g(x) = 0.
0, 860
Let d be 15*22/(-110)*(-3)/(-27)*-4. Factor d - 2/9*z**2 - 2/9*z.
-2*(z - 2)*(z + 3)/9
Let c be 2091/(-82)*(-32)/272. Let p = 13 + -7. Determine v so that -p*v - 3/2*v**4 + 6*v**c + 6 - 9/2*v**2 = 0.
-1, 1, 2
Let w be ((-6)/7)/((108/9)/(-74676)). Let n be 13081/w - -1*2/(-12). What is f in 2*f - 2/7 + n*f**2 = 0?
-1, 1/8
Let y(c) = 4*c + 104. Let i be y(-23). Suppose 3*s - 15 = -5*m, -i*s = -16*s - 4*m + 12. Factor -w + s + 0*w**3 - 1/2*w**4 + 3/2*w**2.
-w*(w - 1)**2*(w + 2)/2
Let q(d) be the first derivative of -d**6/2 + 63*d**5/5 - 15*d**4 + 158. Factor q(k).
-3*k**3*(k - 20)*(k - 1)
Suppose 259*k - 430*k = 0. Factor -7/4*r**5 + k + 0*r + 5/4*r**4 + 1/2*r**3 + 0*r**2.
-r**3*(r - 1)*(7*r + 2)/4
Suppose -15 = -a - 4*a. What is v in 3*v**3 - 2*v**2 - 14*v**a + 13*v**3 = 0?
0, 1
Determine m, given that -110*m - 67*m**4 - 22*m**4 + 60*m**5 + 535*m**3 - 65*m - 98*m**2 - 251*m**4 + 30 - 12*m**2 = 0.
-1/2, 1/6, 1, 2, 3
Suppose 5*n - 69 = -2*r, 2*r - 21*n + 61 = -16*n. Let 0 + 3/2*k - 3/2*k**3 + 3/2*k**4 - 3/2*k**r = 0. What is k?
-1, 0, 1
Factor 90 + 3/4*n**3 + 87/2*n - 183/4*n**2.
3*(n - 60)*(n - 2)*(n + 1)/4
What is q in 178/3*q**3 - 394/3*q**2 + 2/3*q**4 - 886*q + 2184 = 0?
-91, -4, 3
Let h = 3215319/5 + -643063. Factor -h*l**2 + 8 + 12/5*l.
-4*(l - 5)*(l + 2)/5
Factor 25/3*b**3 + 410/3*b + 56/3 + 379/3*b