7*p.
-5*(p - 2)**2*(p - 1)
Let s = 106 - 66. Suppose 2*b + 0*b + 9 = 3*l, 5*l - s = -5*b. Find d such that -6 - 15 + 3*d**4 - 15 + 12*d - 15*d**b + 18*d**2 + 12 = 0.
-1, 2
Let d(b) be the third derivative of -2/45*b**7 + 0*b + 0*b**4 - 1/168*b**8 - 5/108*b**6 - 2/135*b**5 + 0*b**3 - 120*b**2 + 0. Factor d(p).
-2*p**2*(p + 4)*(3*p + 1)**2/9
Let s(k) = -214*k**2 + 498*k + 22. Let m(r) = 105*r**2 - 249*r - 12. Let y(h) = -9*m(h) - 5*s(h). Factor y(w).
(w - 2)*(125*w + 1)
Factor -4/7*z**3 - 22208/7*z - 44288/7 - 400*z**2.
-4*(z + 4)**2*(z + 692)/7
Let n(b) be the third derivative of -b**7/1260 + b**6/120 + 7*b**5/360 + 324*b**2. Determine a, given that n(a) = 0.
-1, 0, 7
Let k(n) = -n - 2. Let q(g) = -8*g - 5*g + 4*g + g**2 + 0 + 2. Let h(a) = 2*k(a) - q(a). Factor h(w).
-(w - 6)*(w - 1)
Let p = -106/93 + 491/186. Let y(m) be the first derivative of 16 - p*m + 0*m**2 + 1/2*m**3. Find o such that y(o) = 0.
-1, 1
Let a be (-18)/(-114) + 988/2888. Factor -a*t**2 + 3 + 1/2*t.
-(t - 3)*(t + 2)/2
Suppose 12*g**5 - 8743*g**2 + 1077*g**4 + 23922*g**3 - 6118*g**2 - 95849*g - 907*g**2 + 54675 - 120421*g = 0. What is g?
-45, -3, 1/4, 3
Find w such that 36614 - 36657 - 1291*w - 13930*w**3 - 1000*w**4 - 12930*w**2 - 29370*w**3 = 0.
-43, -1/10
Let b be (60/1260)/(1 + 1364/(-456) + 2). Factor -b*c**2 - 2/7*c**4 + 0 + 16/7*c**3 + 24/7*c.
-2*c*(c - 4)*(c - 3)*(c - 1)/7
Let t(z) be the first derivative of 0*z + 8/7*z**2 + 6 + 2/21*z**3. Suppose t(i) = 0. What is i?
-8, 0
Let w be 196/78 + 1062/(-20709). Suppose 14/13*f**3 + 2/13*f**4 + 24/13*f + 0 + w*f**2 = 0. Calculate f.
-3, -2, 0
Factor -176*j - 81*j + 67*j + 5*j**4 - 20*j + 145*j**2 - 720 + 60*j**3.
5*(j - 2)*(j + 3)**2*(j + 8)
Factor -138*r - 123/4*r**2 - 3/4*r**3 - 108.
-3*(r + 1)*(r + 4)*(r + 36)/4
Let n(t) be the first derivative of 1/26*t**4 - 2/13*t**5 + 34/39*t**3 + 10 + 16/13*t + 1/39*t**6 - 22/13*t**2. Solve n(w) = 0.
-2, 1, 4
Suppose 0 = 4*f - 25*f + 42. Suppose -2*n = f, 6*n + 11 = 4*w + 11*n. Suppose -3/7*c**3 + 0 + 3/7*c - 3/7*c**2 + 3/7*c**w = 0. What is c?
-1, 0, 1
Suppose 0 = -2*s + 7*p - 11*p + 16, -10 = -s - 3*p. Factor -12 + 1 - 3*w**2 - 5 - s*w**2 - 22*w.
-(w + 2)*(7*w + 8)
Let x(s) = -s**2 - 3*s + 2. Let d be x(-2). Let r be 6 - (3 - (4 - d)). Suppose -16*z - 10*z**2 + z**3 - 1832 - 3*z**r + 1824 = 0. What is z?
-2, -1
Let v(a) = 16*a**2 - 47*a - 8*a**3 + 11*a**3 - 12 - 4*a**3. Let x be v(12). What is q in -6/5*q - 24/5*q**3 + x - 2/5*q**5 + 12/5*q**4 + 4*q**2 = 0?
0, 1, 3
Factor -850*g + 17*g**3 - 7*g**3 - 85 - 820 - 843 + 5*g**2 - 252.
5*(g - 10)*(g + 8)*(2*g + 5)
Let h(n) = -2*n**2 - 2*n. Let m(r) be the second derivative of -r**4/6 - r**3/3 + 81*r. Let z(c) = -3*h(c) + m(c). Factor z(p).
4*p*(p + 1)
Let d(l) be the third derivative of l**5/100 + 19*l**4/20 - 12*l**2 - 121*l. Factor d(a).
3*a*(a + 38)/5
What is y in 41 - 36*y - 62*y**2 + 39*y**2 + 22*y**2 - 4 = 0?
-37, 1
Let z(m) be the first derivative of -m**6/69 - 32*m**5/115 + 77*m**4/46 - 40*m**3/23 - 880. What is y in z(y) = 0?
-20, 0, 1, 3
Let y(u) be the first derivative of 0*u + 6 + 2/3*u**3 + 1/10*u**4 + 0*u**2. Factor y(h).
2*h**2*(h + 5)/5
Factor -13649*h**2 + 27353*h**2 - 3*h**3 - 14283*h**2 - 2268*h.
-3*h*(h + 4)*(h + 189)
Factor 11214/5*n + 10479483/5 + 3/5*n**2.
3*(n + 1869)**2/5
Let y(k) be the second derivative of -k**7/1890 + k**6/1080 + k**5/54 + k**4/27 + 261*k**2/2 + 4*k - 12. Let p(l) be the first derivative of y(l). Factor p(f).
-f*(f - 4)*(f + 1)*(f + 2)/9
Factor -924/5*a**2 - 51/5*a**4 + 318/5*a**3 - 672/5 + 1272/5*a + 3/5*a**5.
3*(a - 7)*(a - 4)*(a - 2)**3/5
Let b(m) be the second derivative of 33/4*m**2 - 189*m + 7/6*m**3 + 1/24*m**4 + 0. Factor b(o).
(o + 3)*(o + 11)/2
Let b = -388/683 - -10508/8879. Determine a, given that 2/13*a**5 - 10/13*a**3 + 8/13*a + 2/13*a**4 - 10/13*a**2 + b = 0.
-2, -1, 1, 2
Let m(p) = p**4 - 5*p**3 + 2*p**2 + 4*p + 4. Let a(w) be the first derivative of 16 - 3/2*w**2 - 3*w - 2/3*w**3 + w**4. Let t(y) = 4*a(y) + 3*m(y). Factor t(d).
d**2*(d + 1)*(3*d - 2)
Let x(o) be the third derivative of -o**6/660 + 4*o**5/55 - 5*o**4/4 + 22*o**3/3 - 53*o**2 + 1. Factor x(q).
-2*(q - 11)**2*(q - 2)/11
Let r(s) = -190*s**4 + 2535*s**3 - 17955*s**2 + 39690*s. Let q(j) = 7*j**4 - 94*j**3 + 665*j**2 - 1470*j. Let d(z) = -55*q(z) - 2*r(z). Factor d(n).
-5*n*(n - 7)**2*(n - 6)
Determine d, given that 1005*d**2 + 360*d + 7*d**4 - 22*d**4 - 230*d**3 - 1260*d**2 + 140 = 0.
-14, -2, -1/3, 1
Let l(b) be the first derivative of -b**3/3 + 7*b**2 + 32*b - 728. Find i, given that l(i) = 0.
-2, 16
Let h(s) = 263*s**2 - 27286*s - 18577677. Let o(g) = -121*g**2 + 13642*g + 9288839. Let k(c) = 6*h(c) + 13*o(c). Factor k(p).
5*(p + 1363)**2
Let l(f) be the first derivative of 13 - 12*f - 1/5*f**2 + 0*f**3 + 1/30*f**4. Let d(g) be the first derivative of l(g). Suppose d(b) = 0. Calculate b.
-1, 1
Find f such that 1050 + 826*f**2 - 515*f**2 - 365*f - 306*f**2 = 0.
3, 70
Let n(m) be the second derivative of m**6/900 + m**5/15 - 7*m**3/2 + 15*m. Let g(t) be the second derivative of n(t). Suppose g(a) = 0. Calculate a.
-20, 0
Suppose 0 + 3/8*s**4 + 24*s**2 + 576*s - 39/4*s**3 = 0. What is s?
-6, 0, 16
Let -12*w**3 + 4/3*w**4 - 16/3*w**2 + 20 + 2/3*w**5 + 82/3*w = 0. What is w?
-5, -1, 2, 3
Suppose 2*a - 2*m = -28 + 42, 2*m + 8 = 0. Factor 12/5 + 48/5*p + 15*p**2 + 21/5*p**4 + 3/5*p**5 + 57/5*p**a.
3*(p + 1)**3*(p + 2)**2/5
Let x(g) be the second derivative of g**6/6 - 37*g**5/4 - 295*g**4/6 - 200*g**3/3 - 4079*g. Let x(y) = 0. Calculate y.
-2, -1, 0, 40
Let s be ((-12138)/9537)/(7/(-22)). Factor 32/3*l**3 + 28/3*l + 0 + 2/3*l**s + 58/3*l**2.
2*l*(l + 1)**2*(l + 14)/3
Let g(l) = 15*l**3 + 12*l**2 - 14*l - 13. Suppose -179*v + 12 = -177*v. Let n(r) = 7*r**3 + 6*r**2 - 7*r - 6. Let m(w) = v*g(w) - 13*n(w). Factor m(j).
-j*(j - 1)*(j + 7)
Let f be (516/24 - 23)/(12/(-104)). Let u = 7 - 3. Factor 4*d**u + 45 - 39 - f*d**3 - 9*d**3 - 26*d + 38*d**2.
2*(d - 3)*(d - 1)**2*(2*d - 1)
Let h(i) be the first derivative of 1/540*i**6 + 3 - 14/3*i**3 + 0*i + 0*i**2 - 1/45*i**5 + 1/12*i**4. Let n(z) be the third derivative of h(z). Factor n(m).
2*(m - 3)*(m - 1)/3
Let b = -103871 - -103873. Factor -3*t + 9/4 + 3/4*t**b.
3*(t - 3)*(t - 1)/4
Let v = -58303 + 174913/3. Factor 2/3*l**3 - 22/9*l**2 + 16/9 - v*l.
2*(l - 4)*(l + 1)*(3*l - 2)/9
Let c(r) be the third derivative of -r**6/120 - 3287*r**5/60 - 2702735*r**4/24 - 2699449*r**3/6 + 14*r**2 - r - 44. Factor c(j).
-(j + 1)*(j + 1643)**2
Let f(z) be the second derivative of 5/48*z**4 - 5/4*z**3 + 15 + 5*z**2 - 2*z. Factor f(m).
5*(m - 4)*(m - 2)/4
Let b(h) be the first derivative of -22/3*h**3 + 36*h + 12*h**2 + h**5 - 4*h**4 + 37. Let y(z) be the first derivative of b(z). Factor y(u).
4*(u - 3)*(u + 1)*(5*u - 2)
Let a(i) = 8*i**3 + 4723*i**2 + 5. Let q(c) = -39*c**3 - 23616*c**2 - 24. Let f(v) = 24*a(v) + 5*q(v). Solve f(x) = 0 for x.
-1576, 0
Let q(a) be the third derivative of a**7/525 - 101*a**6/25 - 809*a**5/50 - 607*a**4/30 + 977*a**2 - 3*a. Factor q(f).
2*f*(f - 1214)*(f + 1)**2/5
Find b, given that -56*b**3 + 308/3 - 12*b**4 + 2672/3*b**2 + 1832/3*b = 0.
-11, -1/3, 7
Factor -8*x**2 - 256 - 1/4*x**3 - 80*x.
-(x + 8)**2*(x + 16)/4
Let f(n) be the third derivative of -n**6/60 + 23*n**5/240 + n**4/32 - 17*n**2 + 1. Factor f(y).
-y*(y - 3)*(8*y + 1)/4
Let n(j) be the second derivative of j**6/15 + 3*j**5/10 - j**4/6 - j**3 + 318*j + 2. Let n(c) = 0. What is c?
-3, -1, 0, 1
Let y(j) = j**2 + 5*j + 4. Let k be y(-4). Let z(n) = -n**3 - n**2 + 4*n + 28. Let i be z(k). Factor -7*r**3 + i*r - 12 + 12*r**3 + 7*r**2 - 4*r**3 - 6*r**3.
-(r - 3)*(r + 2)*(5*r - 2)
Let p(r) be the second derivative of 5*r + 29/2*r**2 + 1/6*r**4 - 1/30*r**5 + 0 - 1/3*r**3. Let c(v) be the first derivative of p(v). Factor c(a).
-2*(a - 1)**2
Let j = 52 - 40. Find y, given that 4 - y**2 - 21*y**3 - 21*y**3 + 38*y**3 - j*y + 13*y**2 = 0.
1
Solve 540*q**3 - 77277 - 8856*q**2 + 24321 - 48132 + 51408*q - 7*q**4 + 3*q**4 = 0.
6, 117
Let j(z) be the first derivative of 46 + 5/7*z**3 + 16*z - 1/28*z**4 - 36/7*z**2. Suppose j(n) = 0. Calculate n.
4, 7
Let z(f) = f + 15. Let i be z(-11). Factor 8*g - 8 - 10*g + i*g**2 - g - g.
4*(g - 2)*(g + 1)
Let h(c) be the third derivative of c**8/784 - 23*c**7/490 + c**6/14 + 11*c