p.
-1/3, 5, 14
Let l(h) be the third derivative of -h**8/6720 + h**7/35 - 7*h**5/60 + h**4/12 + 53*h**2. Let v(y) be the third derivative of l(y). Factor v(w).
-3*w*(w - 48)
Let v = -891202 + 1782427/2. Find h such that -25/4*h + 1/4*h**2 + v = 0.
2, 23
Let i(o) be the third derivative of 8/21*o**3 + 3*o + 0 - 1/210*o**5 + 1/42*o**4 + 25*o**2. What is g in i(g) = 0?
-2, 4
Let m(r) be the third derivative of 3/8*r**6 - r - 55/3*r**3 - 55/6*r**5 + 0 + 205/8*r**4 - 55*r**2. Factor m(v).
5*(v - 11)*(v - 1)*(9*v - 2)
Factor -4906/7*x - 2/7*x**2 + 0.
-2*x*(x + 2453)/7
Let k(c) be the first derivative of c**3/9 + 1145*c**2/3 - 2291*c/3 - 12778. Suppose k(p) = 0. What is p?
-2291, 1
Suppose -2*s = -4*v - 4, -s + 2 = -0*s - v. Determine w so that -107 - 103 + s*w**2 + 3*w**2 - 20*w + 185 = 0.
-1, 5
Let a(i) = 2*i + 19. Let p(n) = 3*n + 21. Let u(x) = -4*a(x) + 3*p(x). Let h be u(13). What is f in 128/7*f**5 + 0*f + 0*f**4 - 24/7*f**3 + h + 4/7*f**2 = 0?
-1/2, 0, 1/4
Let s = -9/2318 - -10449/4636. Factor -s*x + 0 + 1/4*x**2.
x*(x - 9)/4
Determine v, given that 8/7 - 10/7*v**3 + 6/7*v**2 + 24/7*v = 0.
-1, -2/5, 2
Let t be (-4032)/(-336) - 43/4. Let d(u) be the first derivative of 0*u - t*u**3 + 0*u**2 - 5/16*u**4 + 9. Factor d(k).
-5*k**2*(k + 3)/4
Let k be (-6)/(-14) - 150/(-42). Suppose -k*h = x, -10*h = 4*x - 14*h. Solve 2/15*g**2 - 2/15*g**3 + 2/15*g**5 + x + 0*g - 2/15*g**4 = 0.
-1, 0, 1
Let m(s) = -5*s**2 + 84*s + 308. Let a(b) = -12*b**2 + 169*b + 616. Let c(v) = 3*a(v) - 7*m(v). Let c(p) = 0. Calculate p.
-77, -4
Let c = -172939 - -172941. Factor 2/3*n**3 + 4 + 7/3*n**c - 20/3*n - 1/3*n**4.
-(n - 2)**2*(n - 1)*(n + 3)/3
Let x(t) be the second derivative of t**6/60 - 53*t**5/40 - 28*t**4/3 - 19*t**3 - t - 133. Factor x(o).
o*(o - 57)*(o + 2)**2/2
Let g(v) be the second derivative of 34*v + 3*v**3 + 15/2*v**2 + 1/4*v**4 + 2. Factor g(z).
3*(z + 1)*(z + 5)
Suppose -10 = -3*r - 597*o + 599*o, -4*o - 14 = -3*r. Factor 14/3*m**3 - 14/3*m + 2/3*m**4 + 0 - 2/3*m**r.
2*m*(m - 1)*(m + 1)*(m + 7)/3
Let p = -11119 - -11122. Let r(m) be the second derivative of -9*m + 49/10*m**2 + 7/15*m**p + 1/60*m**4 + 0. Suppose r(w) = 0. Calculate w.
-7
Let x(t) be the first derivative of -t**6/3240 - t**5/90 - t**4/6 + 17*t**3/3 - 41. Let b(z) be the third derivative of x(z). Factor b(m).
-(m + 6)**2/9
Let x(j) = 15*j**2 + 35*j. Suppose k + 5*k + 30 = 0. Let l be 2/(1 + 7/k). Let n(b) = -23*b**2 - 52*b. Let w(g) = l*n(g) - 8*x(g). Suppose w(o) = 0. What is o?
-4, 0
Let n(k) = 31*k**2 + 136*k + 5041. Let p(d) = 435 + 57*d**2 + 273*d + 3378 + 8077 - 1808. Let g(j) = -11*n(j) + 6*p(j). Determine h so that g(h) = 0.
-71
Let u(d) be the third derivative of 0*d**5 - 2 + 0*d**4 + 0*d - 12*d**2 + 0*d**3 + 1/3*d**6 + 5/7*d**7 + 5/48*d**8. Solve u(y) = 0.
-4, -2/7, 0
Let k(g) = g**4 + 8*g**3 - 43*g**2 + 34*g - 3. Let u(z) = z**3 + z**2 - 2*z - 1. Let l(a) = -k(a) + 3*u(a). Factor l(s).
-s*(s - 4)*(s - 1)*(s + 10)
Let f = -220 - -222. Let i be (8 - 16)/(-8) - (-1 - f). Factor 3/7*d**i + 0 + 15/7*d**2 - 12/7*d**3 - 6/7*d.
3*d*(d - 2)*(d - 1)**2/7
Let x(y) be the third derivative of -1/360*y**5 - 78 - 1/4*y**3 - y**2 + 0*y + 1/24*y**4. Factor x(g).
-(g - 3)**2/6
Let x(o) be the third derivative of 1/3*o**5 + 7/15*o**6 + 0 - 144*o - 41/48*o**4 + 1/2*o**3 + 2*o**2. Solve x(m) = 0 for m.
-6/7, 1/4
Let q = 7115 + -7105. Let b(s) be the second derivative of -23*s + 5/12*s**4 - q*s**2 + 0 + 0*s**3. What is c in b(c) = 0?
-2, 2
Let b(r) be the second derivative of r**4/12 - 71*r**3/6 + 102*r**2 - 1182*r. Determine c, given that b(c) = 0.
3, 68
Let h(l) = -2*l**3 + 23*l**2 - 30*l + 3. Let r be h(10). Let k(t) be the first derivative of -17 - 3/16*t**4 + 3/4*t + 3/8*t**2 - 1/4*t**r. Factor k(u).
-3*(u - 1)*(u + 1)**2/4
Let v(m) be the second derivative of 2*m**2 + 1/6*m**3 - 8*m - 1/10*m**5 + 2/15*m**6 + 1/42*m**7 + 1 - 2/3*m**4. Factor v(j).
(j - 1)**2*(j + 1)**2*(j + 4)
Let f(h) be the second derivative of h**4/48 - 8*h**3/3 + 128*h**2 - 565*h. Solve f(y) = 0 for y.
32
Let -18180*s**4 - 219231/2*s**2 - 4518 + 24*s**5 + 40668*s + 162939/2*s**3 = 0. What is s?
1/4, 2, 753
Let g be (-56)/322 - (-1628)/3542. Factor 4/7*s - 16/7 + g*s**2.
2*(s - 2)*(s + 4)/7
Let q be (-10)/(-4) + 7/14. Factor -52*p**4 + 1824*p**2 - 1628*p**2 + 140*p**q + 7*p**5 - 3*p**5.
4*p**2*(p - 7)**2*(p + 1)
Let g(c) = 16*c**2 + 274*c + 37. Let a be g(-17). Let h(f) be the second derivative of 5*f - 1/24*f**4 - 9/4*f**2 + 0 - 1/2*f**a. Let h(q) = 0. What is q?
-3
Suppose -328*k = -317*k - 173 - 344. Let g(s) be the first derivative of -2/45*s**3 - k + 0*s - 2/15*s**2. Factor g(h).
-2*h*(h + 2)/15
Let w(m) = 4*m + 151. Let z be w(-33). Suppose -z*b - 194 + 48 + 49 + 43 + 36 - b**2 = 0. Calculate b.
-18, -1
Let k(y) be the first derivative of -12*y - 19*y**3 + 1/4*y**6 + 75/8*y**4 + 21*y**2 - 39 - 12/5*y**5. Factor k(l).
3*(l - 2)**3*(l - 1)**2/2
Let n(l) be the second derivative of 0*l**3 - 4*l + 13/15*l**4 + 0*l**2 + 79/50*l**5 + 1/25*l**6 - 25. Factor n(f).
2*f**2*(f + 26)*(3*f + 1)/5
Let j = -1175 - -1159. Let h be (j/(-180))/((5/6)/5). Determine x so that h*x - 2/15*x**4 + 2/3*x**3 + 0 - 16/15*x**2 = 0.
0, 1, 2
Let u be 5 + (-5)/((-6510)/(-5761)). Let w = u + 8/31. Factor -5/2*a**2 - 5/6*a**3 + w*a + 5/3 + 5/6*a**4.
5*(a - 2)*(a - 1)*(a + 1)**2/6
Let b(u) = u**2 + u + 8. Let n(k) = 2*k**2 - 1127*k + 318104. Let g(c) = -4*b(c) + 4*n(c). Factor g(h).
4*(h - 564)**2
Suppose -133*j = -9*j - 0*j - 248. Let l(h) be the first derivative of -10/9*h**3 - 1/3*h**j + 2/3*h**5 - 1/2*h**4 + 9 + 0*h + 4/9*h**6. Solve l(y) = 0.
-1, -1/4, 0, 1
Factor -2/15*g**2 + 36 - 14/5*g.
-2*(g - 9)*(g + 30)/15
Let u = 75188/21 - 28908/7. Let z = u - -553. Factor -z*l - 4/3*l**3 + 2/3 + 13/3*l**2.
-(l - 2)*(l - 1)*(4*l - 1)/3
Let f(t) be the third derivative of t**7/735 + 2*t**6/35 + 13*t**5/15 + 38*t**4/7 + 99*t**3/7 - 36*t**2 + 5*t - 18. Find b such that f(b) = 0.
-11, -9, -3, -1
Suppose 3*d - 15 = -18. Let f be 0*(-1)/(d/((-2)/(-6))). Determine n, given that -2/3*n**4 + f*n**3 + 1/3*n + 2/3*n**2 - 1/3*n**5 + 0 = 0.
-1, 0, 1
Let s be 3/5*(-240)/(-192). Factor 1/4*g - s - 1/4*g**3 + 3/4*g**2.
-(g - 3)*(g - 1)*(g + 1)/4
Let d(s) be the first derivative of -2*s**6/15 + 2*s**4/3 - 2*s**2 + 47*s + 45. Let k(p) be the first derivative of d(p). Solve k(f) = 0 for f.
-1, 1
Factor -37 + 2*m**2 + 237*m - 316*m + 16 - 201 + 299*m.
2*(m - 1)*(m + 111)
Let h = 57 + -45. Suppose -4*d + 0*d + h = 0. Find u, given that 14*u**2 + 9*u**d - 45*u**4 + 10*u**5 - 58*u**2 + 30*u + 71*u**3 - 26*u**2 - 5 = 0.
1/2, 1
Let n be 13 - (110/11 - -1). Let l(m) be the third derivative of -1/36*m**5 - 1/18*m**3 + 0*m + 10*m**n + 0 - 1/12*m**4. Find k, given that l(k) = 0.
-1, -1/5
Suppose -p - 4*n - 37 = -4*p, n = 5*p - 90. Suppose 47 = -15*s + p*s - 3*l, 4*l = 12. Find v such that -2/7*v**2 - 4*v - s = 0.
-7
Let i = -521 - -523. Find x such that -4 + 72*x**i - 4 + 4*x + 6 - 78*x**2 + 9*x = 0.
1/6, 2
Let n(a) be the third derivative of a**7/945 + a**6/60 + a**5/27 - a**4/3 - 56*a**3/27 + 1640*a**2. Factor n(o).
2*(o - 2)*(o + 2)**2*(o + 7)/9
Suppose -7*v = 4*v - 33. Determine d, given that -6*d**3 + 5*d**3 - 8*d**v + 13*d**3 + 100*d**2 = 0.
-25, 0
Let z(j) be the second derivative of 2*j**7/21 + 26*j**6/5 + 294*j**5/5 + 736*j**4/3 + 320*j**3 - 31*j + 80. Determine i, given that z(i) = 0.
-30, -4, -1, 0
Find j, given that -54/5*j**5 + 0 + 606/5*j**4 + 2136/5*j**3 - 504/5*j**2 + 0*j = 0.
-3, 0, 2/9, 14
Suppose -16*n + 441 = -9*n. Let c be n/18*8/14. Let -48*k**5 + 5*k - 280*k**3 + 399*k**c + 264*k**4 - 227*k**3 - 125*k + 12 = 0. Calculate k.
1/4, 1, 2
Suppose 0 = 2*p + 4*t - 8, -2*t - t + 32 = -5*p. Let i be 58/8 - (-28)/p. Suppose 0 - i*s**5 - 1/4*s**2 + 0*s - 3/4*s**3 - 3/4*s**4 = 0. Calculate s.
-1, 0
Factor -67*w**3 - 178*w**2 - 127*w**3 - 700*w - 392 - 4*w**4 + 221*w**3 - 194*w**2 - 95*w**3.
-4*(w + 1)*(w + 2)*(w + 7)**2
Suppose 2*h + w = 22, 4*h = 5*h + 4*w - 25. Let -h*x**3 + 24 - 40*x**3 - 84*x - 15*x**4 + 70*x**3 + 54*x**2 = 0. What is x?
-2, 2/5, 1, 2
Let y(i) = 5*i**2 + 4 + 28*i - 31*i + 3*i + 3*i. Let f(d) = 4*d**2 + 4*d + 4. Suppose w - 6 = -4, 0 = b - 2*w - 2. Let c(z) = b*f(z) - 4*y(z). Factor c(p).
4*(p + 1)*(p + 2)
Let q(p) be the third derivative of 17 - 8*p**