x be -133*(-19)/(-532)*(-76)/(-5)*-4. Determine v so that 260642/15 + 2/15*v**4 + x*v**2 + 152/15*v**3 + 54872/15*v = 0.
-19
Let h(n) be the first derivative of n**6/21 + 104*n**5/35 - 53*n**4/14 + 3309. Factor h(c).
2*c**3*(c - 1)*(c + 53)/7
Let g(j) = 56*j**2 - 225*j + 4. Let k be g(4). Factor 1/2*v**2 + k - v.
v*(v - 2)/2
Let r(z) be the third derivative of z**6/360 - 17*z**5/60 + 61*z**4/24 + 235*z**3/18 - 156*z**2 - z. Find y such that r(y) = 0.
-1, 5, 47
Let b(p) be the third derivative of p**6/480 + 41*p**5/240 + 4*p**4 + 87*p**3/2 + 3952*p**2. Factor b(s).
(s + 6)**2*(s + 29)/4
Let j = 405 - 393. Suppose 9*p - 3*r = j*p - 9, -3*p - 5*r = -7. Let 0 - 3/2*f**2 + 0*f - 3/4*f**p - 9/4*f**3 = 0. What is f?
-2, -1, 0
Suppose 95*w + 94 = 199*w - 99*w + 6*l, -56 = -4*l. Factor -52/3*k + 338 + 2/9*k**w.
2*(k - 39)**2/9
Let i = 78777 + -78775. Let 76/5*v**4 + 98/5*v**3 + 0 - 24/5*v + 2*v**5 + 8/5*v**i = 0. What is v?
-6, -1, 0, 2/5
Solve 27/7*r**3 - 24/7*r**4 - 72/7 + 3/7*r**5 - 60/7*r + 66/7*r**2 = 0.
-1, 2, 6
Let j(o) be the first derivative of -9/25*o**5 - 3/20*o**4 - 6/5*o**2 - 67 + 0*o + 8/5*o**3. Determine r so that j(r) = 0.
-2, 0, 2/3, 1
Let p(k) = -4*k**3 - 1000*k**2 + 886*k + 2062. Let c(z) = z**3 + 286*z**2 - 254*z - 589. Let x(l) = -18*c(l) - 5*p(l). Find i, given that x(i) = 0.
-1, 2, 73
Let d(x) = 8*x**3 + 10*x**2 - 9. Let j(h) = -37*h**2 + 36*h**2 - h**3 + 1 + 0*h**3. Let y = 0 + -2. Let a(o) = y*d(o) - 18*j(o). Factor a(v).
2*v**2*(v - 1)
Let v(k) = k**3 - 52*k**2 - 108*k + 2. Let s be v(54). Suppose 4*h + 12 = -0*b - 3*b, -5*b - 20 = 0. Factor -2/9*a**4 + 0*a + h + 2/9*a**3 + 0*a**s.
-2*a**3*(a - 1)/9
Factor -4720614*m - 1/2*m**3 + 2661*m**2 + 2791456412.
-(m - 1774)**3/2
Let a be 1 - (3 + (3 - 1) + -4). Let u(j) = j**3 + 2*j**2 - j + 3. Let h be u(a). Suppose -8*l**2 - h*l**3 - 8*l + 2*l**3 + 14*l**2 + 3*l**3 = 0. What is l?
-4, 0, 1
Let q(i) be the third derivative of 0 + 0*i - 1/60*i**5 - 28*i**2 - 2/3*i**3 + 5/24*i**4. Factor q(f).
-(f - 4)*(f - 1)
Let x(k) be the first derivative of 3*k**5/5 + 435*k**4/4 + 5034*k**3 - 24198*k**2 + 32856*k + 3967. Factor x(p).
3*(p - 2)*(p - 1)*(p + 74)**2
Let a(h) = -h**3 + 48*h**2 + 256*h + 255. Let x(v) = -v**3 + 33*v**2 + 256*v + 254. Let f(s) = -2*a(s) + 3*x(s). Let f(y) = 0. Calculate y.
-14, -1, 18
Let g(u) = -9*u**3 + 144*u**2 - 326*u + 198. Let w(l) = -5*l**3 + 71*l**2 - 162*l + 99. Let m(q) = -3*g(q) + 7*w(q). Factor m(r).
-(r - 3)*(r - 1)*(8*r - 33)
Factor 0*b + 0*b**2 - 3093/2*b**4 + 0 + 3087/2*b**5 + 3*b**3.
3*b**3*(b - 1)*(1029*b - 2)/2
Let r(f) be the third derivative of -f**7/126 - f**6/6 - 29*f**5/36 - 5*f**4/4 + 3*f**2 - 468. Factor r(l).
-5*l*(l + 1)*(l + 2)*(l + 9)/3
Suppose 0 = 4*c - 10 + 6. Suppose -27 = -v + c. Factor v*u**4 + 2*u + 3*u**2 - u**3 + 0*u**5 - 57*u**4 + 26*u**4 - u**5.
-u*(u - 1)*(u + 1)**2*(u + 2)
Let x(h) be the third derivative of -h**6/40 - 11*h**5/10 + 129*h**4/8 - 81*h**3 - 7592*h**2. Solve x(m) = 0.
-27, 2, 3
Let r(s) = s**3 - 63*s**2 + 255*s + 3215. Let x(z) = 2*z**3 - 96*z**2 + 384*z + 4824. Let u(k) = 8*r(k) - 5*x(k). Factor u(m).
-2*(m - 8)*(m + 10)**2
Let s(y) = y**3 - 246*y**2 + 491*y - 256. Let j(o) = -6*o**3 + 1476*o**2 - 2947*o + 1542. Let g(k) = 2*j(k) + 13*s(k). Factor g(v).
(v - 244)*(v - 1)**2
Let q(g) = -96 + g + 50 + 46. Let k(l) = -l**2 - 7*l - 8. Let s(h) = k(h) + q(h). Factor s(n).
-(n + 2)*(n + 4)
Let c(y) be the second derivative of -1/30*y**4 - 1/10*y**3 + 23*y - 15/2*y**2 + 0 - 1/300*y**5. Let j(g) be the first derivative of c(g). Factor j(k).
-(k + 1)*(k + 3)/5
Factor -69/8*u**3 + 3/8*u**4 + 273/8*u**2 + 0 + 1521/8*u.
3*u*(u - 13)**2*(u + 3)/8
Factor -807*b + 651249/2 + 1/2*b**2.
(b - 807)**2/2
Factor -316/9*y + 310/3 + 2/9*y**2.
2*(y - 155)*(y - 3)/9
Let c be ((-1110)/(-666))/((-10*4/24)/(-3)). Suppose 0*s**2 + 54/5 - 1/5*s**c + 27/5*s = 0. Calculate s.
-3, 6
Let x = -554029 - -554032. Find g such that -174/5*g**x - 372/5*g - 84/5 + 3*g**4 - 477/5*g**2 = 0.
-1, -2/5, 14
Factor 44/3*s + 0 - 5*s**2 + 1/3*s**3.
s*(s - 11)*(s - 4)/3
Let g(p) be the third derivative of p**5/15 - 118*p**4/3 - 952*p**3/3 - 10*p**2 - 39*p. Factor g(n).
4*(n - 238)*(n + 2)
Suppose q - 11 = -3*t + 7, 5*q = 3*t. Factor -6851*n**3 + 44*n + n - 30*n**2 + 6856*n**q.
5*n*(n - 3)**2
Let u(j) be the first derivative of -36*j**3 - 8*j**2 + 144*j - 6*j**4 - 59 + 4/5*j**5. Suppose u(v) = 0. Calculate v.
-2, 1, 9
Factor -5/4*c**2 + 155/4*c + 225.
-5*(c - 36)*(c + 5)/4
Let f(i) be the second derivative of 4 + 11/2*i**2 - 11/12*i**4 + 1/20*i**5 - 7*i - 1/6*i**3. Factor f(x).
(x - 11)*(x - 1)*(x + 1)
Let j(n) be the second derivative of n**4/42 - 408*n**3/7 - 1439*n + 2. Factor j(s).
2*s*(s - 1224)/7
Let w(t) be the second derivative of -t**7/560 - t**6/480 + t**5/160 + 17*t**3/6 - 9*t - 3. Let p(f) be the second derivative of w(f). Factor p(h).
-3*h*(h + 1)*(2*h - 1)/4
Suppose -53*a - 53*a + 88*a + 90 = 0. Let t(l) be the second derivative of -1/5*l**4 - 1/150*l**6 - 4/15*l**3 + 0 + 24*l - 3/50*l**a + 0*l**2. Factor t(j).
-j*(j + 2)**3/5
Let c be -14*10*18/(-3). Let s = 7562/9 - c. Determine k, given that 32/9 - 16/9*k + s*k**2 = 0.
4
Suppose -17*x = -19*x. Suppose x = -9*r + 12 + 15. Determine m so that m**2 - r - 5 + 8 = 0.
0
Let v be (-6 + 57/6)*(-60)/(-70). Let b = 8 - 6. Factor -4*p**3 + 12*p**b + v*p**2 + 16 + 5*p**2 - 32*p.
-4*(p - 2)**2*(p - 1)
Let j = 133174 + -133170. Suppose -48 + 63/4*r**5 - 168*r + 81*r**2 - 507/4*r**j + 246*r**3 = 0. What is r?
-2/3, -2/7, 1, 4
Factor -129 - 246 + 5*p**2 + 2042 + 165*p + 1213 + 85*p.
5*(p + 18)*(p + 32)
Let g(y) = 2*y**3 - 50*y**2 + 2*y - 25. Let b be g(25). Solve 22 - 75*q**4 + 10 + 2 + 45*q**5 + 75*q**2 - 54 - b*q**3 = 0.
-2/3, 1
Suppose -527*c = -523*c + 92. Let b(l) = -2*l**2 - 46*l + 2. Let g be b(c). Factor -2/3*d**g + 11/6*d**4 + 0*d + 1/2*d**5 + 4/3*d**3 + 0.
d**2*(d + 2)**2*(3*d - 1)/6
Suppose 15*n = 26*n - 22. Factor 129*d**2 - 8*d + 135*d**2 - 263*d**n.
d*(d - 8)
Let d(m) = -m**3 - 2*m**2 + m + 3. Let w be d(-2). Let y(t) = 4*t**3 - t**2 - t + 1. Let g be y(w). Factor -8*s - s**3 - 15*s**g + 48*s**2 - 4*s - 8 - 12*s**3.
-4*(s - 1)**2*(7*s + 2)
Let y(c) be the second derivative of c**6/15 + 32*c**5/5 + 301*c**4/2 + 6638*c. Factor y(x).
2*x**2*(x + 21)*(x + 43)
Suppose 4*s - 3*q + 2 = 16, 3*s - 4*q - 7 = 0. Let x be 3 + -16 - -7 - (2 + -8). Let -1/10*h**s + 1/5*h**3 + x + 0*h**2 - 1/10*h + 0*h**4 = 0. Calculate h.
-1, 0, 1
Let o(z) = -18*z**2 - 481*z - 2234. Let k be o(-6). Let 0*s**3 + 13/3*s**2 + k*s - 1/3*s**4 + 0 = 0. Calculate s.
-3, -1, 0, 4
Factor -52 - 102/5*v + 14/5*v**2.
2*(v + 2)*(7*v - 65)/5
Let i(f) be the third derivative of -f**5/180 + 367*f**4/72 - 2247*f**2 - f. Factor i(d).
-d*(d - 367)/3
Let k(j) = -7*j**4 + 3*j**3 - 15*j**2 - j + 5. Let b(r) = 14 + 8*r**4 + 3*r**2 - 20 - 2*r**3 + 0*r + 13*r**2 + 2*r. Let p(d) = 5*b(d) + 6*k(d). Factor p(a).
-2*a*(a - 2)*(a - 1)**2
Let z(o) = -3*o**3 - 293*o**2 + 253*o + 15190. Let l be z(-98). Determine u, given that l + 1/4*u**3 - 3/2*u**2 - 7/4*u = 0.
-1, 0, 7
Let z = 1266 - 5039/4. Let a(j) be the first derivative of 20/3*j**3 + 0*j + 2*j**2 + z*j**4 - 1. Determine b, given that a(b) = 0.
-2/5, 0
Suppose 2*t**2 + 6756488 + 569*t + 4891*t + 3773*t - 1881*t = 0. What is t?
-1838
Let z be ((-22 - -35) + -23)*6/(-10). Let v(l) be the third derivative of 1/10*l**4 - 1/300*l**5 + 1 - z*l**2 + 0*l - 11/30*l**3. Solve v(i) = 0 for i.
1, 11
Suppose -46*v + 23*v + 115 = 0. Suppose -8*y = -11*y - 4*d - 20, -2*y - 25 = v*d. Suppose -1/5*a**2 + 1/5*a**4 + 4/5*a + y - 4/5*a**3 = 0. Calculate a.
-1, 0, 1, 4
Suppose 0 = -529*l + 530*l + 3*k - 6, 5 = 5*k. Let t(p) be the first derivative of 9/7*p**2 - 8/21*p**l - 49 + 18/7*p. Let t(q) = 0. Calculate q.
-3/4, 3
Let y(i) = -2*i**3 + 21*i**2 - 13*i + 22. Let v be y(9). Let a be v/14 + 8/84*-6. Factor -192/5*o - 32/5 - 48*o**3 - 368/5*o**2 - a*o**4.
-2*(o + 2)**2*(5*o + 2)**2/5
Let v(u) = 15*u**2 + 5034*u + 5067. Let l(z) = -13*z**2 - 5040*z - 5067. Let i(s) = 6*l(s) + 5*v(s). Suppose i(w) = 0. Calculate w.
-1689, -1
Let j(y) be the second derivative of y**4/78 + 2*y**3/13 + 5*y**2/13 - 464*y. Find z such that j(z) = 0.
-5, -1
Factor -2/15*m**3 - 4/5*m**2 - 2/3*m + 8/5.
-2*(m - 1)*(m + 3)*(m + 4)/15
Solve -880 - 21552