(m) = f*u(m) + 5*w(m). Factor t(p).
4*p*(p + 4)
Let w(z) = -47*z**2 - 18*z - 2026. Let k(q) = 57*q**2 + 18*q + 2031. Let p(b) = 5*k(b) + 6*w(b). Factor p(c).
3*(c - 29)*(c + 23)
Let y be 53/13 + 165/(-429). Factor -2/13*m**2 - 288/13 - y*m.
-2*(m + 12)**2/13
Let m = 6217 + -30532/5. Let d = -1649/15 + m. Factor -h**2 - 2/3*h**3 + d + h.
-(h - 1)*(h + 2)*(2*h + 1)/3
Let b(z) be the second derivative of -z**6/50 + 3*z**5/50 + 31*z**4/20 + 14*z**3/5 + 1930*z. What is d in b(d) = 0?
-4, -1, 0, 7
Let a(g) be the third derivative of g**6/60 + 7*g**5/15 + 19*g**4/4 + 24*g**3 + 1291*g**2. Factor a(z).
2*(z + 3)**2*(z + 8)
Determine h so that -1032*h**3 - 167*h - 125*h**5 + 7*h - 359*h**2 + 1498*h**4 - 98*h**5 - 625*h**2 - 71*h**5 = 0.
-2/7, 0, 5/3, 4
Let n be (-9)/(2 - 15/6). Factor -2*x**2 + 42*x + 0 - n*x + 26.
-2*(x - 13)*(x + 1)
Let k be 10/66*(2/(-32) + 10*6924/1920). Suppose k + 2/11*l**2 - 62/11*l = 0. What is l?
1, 30
Let n = 1085318 - 4341261/4. Determine p so that -n*p - 5/2 - 1/4*p**2 = 0.
-10, -1
Let a = -6 + 0. Let f be a - -4 - 177/(-3). Factor -f*v**2 - 3*v + 1 + 56*v**2 - 3.
-(v + 1)*(v + 2)
Let j be (2/12)/(27/270)*3. Suppose -a + 8 = b, j*a - 3*a + 8 = 4*b. Suppose 0 - 1/6*r**a + 1/6*r**2 - 1/2*r**3 + 1/2*r = 0. What is r?
-3, -1, 0, 1
Suppose 3*w - 7 = 5*v + 5, 0 = 5*w + 5*v - 20. Factor -34*z**2 + 92*z + 4*z**4 - w*z**3 + 14*z**2 - 48 - 8*z**3 - 16*z**2.
4*(z - 4)*(z - 1)**2*(z + 3)
Let j be (-24)/108 - (-76)/18. Solve -8*s**3 - 4*s**3 - 10*s**3 - 8*s**3 - 45*s**2 - 5*s**j = 0 for s.
-3, 0
Let n(l) be the first derivative of l**5 - 50*l + 35/4*l**4 - 35/2*l**2 + 15*l**3 + 6. Find o such that n(o) = 0.
-5, -2, -1, 1
Let m(a) be the second derivative of -27/8*a**4 + 21/40*a**5 - 15/2*a**2 + 4*a - 9 + 29/4*a**3 + 1/20*a**6. Factor m(z).
3*(z - 1)**3*(z + 10)/2
Let f(d) be the second derivative of 13/20*d**5 - 25/6*d**4 + 16/3*d**3 - d - 1/30*d**6 + 48*d**2 + 6. Factor f(c).
-(c - 6)*(c - 4)**2*(c + 1)
Suppose -4*a + 16*i = 14*i - 20, -a - 2*i = 10. Let v(r) be the first derivative of -1/6*r**3 + 1/24*r**4 - 1/6*r + 1/4*r**a + 21. Factor v(g).
(g - 1)**3/6
Suppose 156 = 41*x + 74. Let z(b) be the second derivative of 2/3*b**x + 0 - 2/15*b**5 - 1/9*b**4 - 10*b + 0*b**6 + 1/63*b**7 + 1/3*b**3. Factor z(d).
2*(d - 2)*(d - 1)*(d + 1)**3/3
Let g(k) = 33*k - 20 - 5 + 33*k**2 - 25 - 13. Let c(j) = 8*j**2 + 8*j - 15. Let l(r) = -21*c(r) + 5*g(r). Determine p so that l(p) = 0.
-1, 0
Let c = -509996 - -1020007/2. Factor 4*f - 1/2*f**2 - c.
-(f - 5)*(f - 3)/2
Let i(y) be the first derivative of y**4/16 + 5*y**3/6 - 61*y**2/2 + 110*y - 876. Factor i(l).
(l - 10)*(l - 2)*(l + 22)/4
Suppose 5*k = -20, -3*h - 12*k + 14*k + 35 = 0. Let s be (h/4)/(87/(-12) + 8). Factor -10/7*l**s + 0 + 20/7*l - 46/7*l**2.
-2*l*(l + 5)*(5*l - 2)/7
Let t = 858 + -863. Let w be (-21)/t - 27/45. Factor -81/5 + w*s - 1/5*s**2.
-(s - 9)**2/5
Let v(u) be the second derivative of u**6/30 + 3*u**5/20 - 61*u**4/12 - 21*u**3/2 - 2322*u. Factor v(j).
j*(j - 7)*(j + 1)*(j + 9)
Let n = -1060989 + 1060994. Solve 150 + 5/3*r**n + 355*r + 70/3*r**4 + 370/3*r**3 + 920/3*r**2 = 0 for r.
-5, -3, -2, -1
Suppose 147*m = 148*m + 8. Let n be (6/16)/((11 + -12)/m). Determine p so that -n*p**2 - 15/2*p + 9 + 3/2*p**3 = 0.
-2, 1, 3
Let h(o) be the second derivative of o**4/48 + 43*o**3/3 - 345*o**2/8 - 1925*o. Factor h(b).
(b - 1)*(b + 345)/4
Let s(n) be the first derivative of 23958*n**6/7 + 78408*n**5/5 + 118008*n**4/7 - 98240*n**3/21 + 3104*n**2/7 - 128*n/7 + 1786. Factor s(d).
4*(d + 2)**2*(33*d - 2)**3/7
Let u(x) = 17*x**2 - 10*x**2 - 7*x**2 - 4 - x**2. Let g(i) = 2*i**2 - 9*i + 104. Let f(v) = -g(v) - 5*u(v). Determine j so that f(j) = 0.
-7, 4
Suppose -8*f - 121*x + 2 = -120*x, -3*f = -3*x + 6. Let 16/5*y**3 - 2/5*y**2 - 16/5*y + f + 2/5*y**4 = 0. Calculate y.
-8, -1, 0, 1
Let w be (3/2 - 1 - 7/(-7))/2. Let i(n) be the first derivative of -9/2*n - 6 + 3/8*n**4 + 3/2*n**3 - w*n**2. Factor i(h).
3*(h - 1)*(h + 1)*(h + 3)/2
Let d(q) = q**3 + q - 1. Let m(y) be the first derivative of -2*y**4 - 2/3*y**3 + 13*y + 18 - y**2. Let g(t) = 28*d(t) + 4*m(t). Factor g(v).
-4*(v - 2)*(v + 1)*(v + 3)
Determine x so that -5*x**2 + 15/4*x - 5/4*x**5 - 5/2*x**3 + 0 + 5*x**4 = 0.
-1, 0, 1, 3
Let d(k) = -5*k**3 - 2362*k**2 - 465716*k - 2. Let g(r) = -36*r**3 - 16533*r**2 - 3260016*r - 15. Let n(h) = 15*d(h) - 2*g(h). Factor n(l).
-3*l*(l + 394)**2
Find d, given that -41*d**3 - 15*d**3 + 3144*d - 46*d**3 - 3156 + 99*d**3 - 777*d**2 = 0.
-263, 2
Let m(v) = -v**3 - 4*v**2 - 7*v - 8. Let b be m(-3). What is x in 7*x**2 - 3*x**5 + x**4 - x**4 + 6*x**b - 7*x**2 = 0?
0, 2
Factor 80*o - 54*o**4 - 36*o**3 - 48*o**2 + 20*o**4 + 5 - 5 + 38*o**4.
4*o*(o - 10)*(o - 1)*(o + 2)
Factor 28/3*c + 0 - 1/3*c**3 - 9*c**2.
-c*(c - 1)*(c + 28)/3
Let n(b) = -12*b**4 - 6*b**3 - 24*b**2 + 66*b. Let o(a) = -31*a**4 - 11*a**3 - 49*a**2 + 135*a. Let p(h) = -10*n(h) + 4*o(h). Solve p(z) = 0.
-3, 0, 2, 5
Let l(d) = 2*d**5 - 3*d**2 + d. Let z(y) = -12*y**5 - 48*y**4 - 184*y**3 - 228*y**2 - 104*y. Let m(o) = 4*l(o) + z(o). Suppose m(k) = 0. What is k?
-5, -1, 0
Suppose 27*d**3 - 338 - 468*d - 12*d**2 + 1207*d**4 - 94 - 1204*d**4 = 0. What is d?
-6, -1, 4
Let r be -17 - (-14 + 15)/1*-17. Suppose 2/5*j**2 + r - 12*j = 0. Calculate j.
0, 30
Let s(d) = -16*d - 3. Let w be s(-1). Let n = 37 - w. Let -n*f**2 - 16 - 72 + 2*f**3 - 40 + 96*f = 0. What is f?
4
Suppose -35 = -5*z - 5*w, 29*z = 30*z + 5*w - 15. Let q = 2 + 1. Let 3*d**z + 6*d**4 - 12*d**4 + 3*d**2 + q*d**5 - 6*d**3 + 3*d**4 = 0. What is d?
-1, 0, 1/2, 1
Suppose 4*h - 3*u = 9*h + 2, h + 6 = -2*u. Solve -s**5 + 5*s**h + 4*s + 80*s**3 + 70*s**3 - 153*s**3 - 5*s**4 = 0.
-4, -1, 0, 1
Let w(i) be the third derivative of -i**6/840 + 55*i**5/84 - 325*i**4/3 - 7000*i**3/3 - i**2 + 29. Suppose w(k) = 0. Calculate k.
-5, 140
Let n be (0 - -15) + 2 + -9. Let m(j) be the third derivative of 1/15*j**6 + 2*j**4 + 0*j - 3/5*j**5 + 0 - 8/3*j**3 - n*j**2. Factor m(y).
4*(y - 2)**2*(2*y - 1)
Let k(y) be the second derivative of -2*y**7/21 - 68*y**6/5 - 3564*y**5/5 - 15246*y**4 - 71874*y**3 - 3716*y. Factor k(v).
-4*v*(v + 3)*(v + 33)**3
Let q be ((-25)/10)/(-39 - (-2688)/72). Factor -q*u - 3/2*u**2 + 0.
-3*u*(u + 1)/2
Let d(l) be the first derivative of 2*l**5/75 + l**4/5 - 38*l**3/45 - 8*l**2/5 - 1912. Find z such that d(z) = 0.
-8, -1, 0, 3
Let i(r) be the second derivative of -5/72*r**4 + 0 + 5/3*r**2 - 65*r - 5/9*r**3 + 1/24*r**5. Factor i(x).
5*(x - 2)*(x - 1)*(x + 2)/6
Let m = -11 + 16. Suppose -s = m*s - 30. Determine i, given that -23*i + 26*i + 30 + s*i**2 + i + 21*i = 0.
-3, -2
Factor -2847312/5 + 2/5*g**4 - 462/5*g**3 + 7020*g**2 - 839592/5*g.
2*(g - 78)**3*(g + 3)/5
Suppose -1026*i + 232 = -968*i. Let u(k) be the first derivative of 4 + i*k**2 + 1/3*k**3 + 7*k. Factor u(y).
(y + 1)*(y + 7)
Let q(t) be the first derivative of -4/5*t**5 + 7 - 33/7*t**4 - 96/7*t + 88/7*t**3 + 136/7*t**2. Suppose q(j) = 0. Calculate j.
-6, -1, 2/7, 2
Let l(w) be the first derivative of 5*w**3/3 - 235*w**2/2 - 1590*w - 3690. Factor l(q).
5*(q - 53)*(q + 6)
Let 0 + 0*z + 3/5*z**4 - 714/5*z**2 - 351/5*z**3 = 0. Calculate z.
-2, 0, 119
Let j(z) = -4*z + 2*z + 5*z - 58 + 5*z. Let x be j(18). Factor -3*p**4 - 108*p**2 - 12*p**3 + p**4 + x*p**2 + 4*p - 16*p.
-2*p*(p + 1)*(p + 2)*(p + 3)
Let q(n) = n**3 + 10*n**2 - 2*n. Let k(m) = 20*m**2 - 25*m + 50. Let p(b) = k(b) - 5*q(b). Factor p(l).
-5*(l - 1)*(l + 2)*(l + 5)
Let c(o) be the second derivative of -1960*o**3 - 42*o - 54880*o**2 - 1/4*o**5 - 1 - 35*o**4. Factor c(d).
-5*(d + 28)**3
Let q(f) be the third derivative of f**6/40 + 31*f**5/5 - 127*f**4/2 + 256*f**3 + 22*f**2 - 108. Factor q(g).
3*(g - 2)**2*(g + 128)
Let i(g) be the third derivative of -6/7*g**3 + 0 - 4*g**2 - 3*g + 1/35*g**5 - 47/56*g**4. Factor i(a).
3*(a - 12)*(4*a + 1)/7
Let f(k) = 9*k**2 + 852*k - 1713. Let c(z) = 2*z**2 + 1. Let j(g) = -3*c(g) + f(g). Suppose j(b) = 0. What is b?
-286, 2
What is c in 1464*c**2 + 4*c**3 + 2903669 + 27039*c + 4359723 + 151569*c = 0?
-122
Let j(k) be the second derivative of k**4/48 - 7*k**3/6 + 13*k**2/2 + 28*k. Determine r so that j(r) = 0.
2, 26
Suppose 5*t + 35 = 5*l, -8*t - 18 = -2*t. Let g(j) be the third derivative of 0 - 3/4*j**3 + 0*j + 1/4*j**l - 1/40*