*3/15 - 21*y**2/5 - 8*y - 611. Factor p(z).
-2*(z + 1)*(z + 20)/5
Let y(d) = d**2 + 1. Let r(p) be the third derivative of 1/3*p**4 - 8*p**2 + 5/6*p**3 + 0 + 0*p + 3/20*p**5. Let n(a) = r(a) - 5*y(a). Factor n(w).
4*w*(w + 2)
What is c in 0 - 3168*c + 526/11*c**3 + 4/11*c**4 - 2/11*c**5 - 48*c**2 = 0?
-11, 0, 12
Solve -8155*l - 1248*l - l**2 - 7107556 + 4071*l = 0 for l.
-2666
Let -38*t**2 - 29 + t - 13 + 36*t**2 + t**3 - 2*t + 44*t**2 = 0. Calculate t.
-42, -1, 1
Let t = 709 + -697. Let d be (40/(-60))/(1/(t/(-10))). What is b in -1/5*b**2 + d*b - 3/5 = 0?
1, 3
Let a(y) = -y**3 - 11*y**2 - 20*y - 22. Let t be a(-13). Let i = 4044/7 - t. Factor i - 36/7*p**2 - 6/7*p.
-6*(2*p - 1)*(3*p + 2)/7
Let h = 430 - 428. Solve 5*j**h + 90*j - 25443 + 25443 = 0.
-18, 0
Suppose 6*l - h - 41 = 3*l, 0 = -2*l + 5*h + 10. Suppose -p + 5*b = -4*p, 0 = -5*b - l. What is s in -20*s + 12 + p*s**3 - 5*s**2 - s**3 + 2*s**2 + 7*s**2 = 0?
-3, 1
Suppose 0 = -5*g - 107*g + 172*g - 46 - 74. Factor -15/8*j + 0 - 1/8*j**g.
-j*(j + 15)/8
Let d be -3 + (-331)/(-75) - 182/2275. Find p such that 2*p**2 + 0*p**3 - 2/3*p**4 - d*p + 0 = 0.
-2, 0, 1
Suppose 4*m - l - 2 = 28, -16 = -m - 4*l. Determine a so that -12*a**3 - 37*a**4 - 4*a**3 - m*a**2 - 8*a**5 - 22*a**3 + a**5 = 0.
-4, -1, -2/7, 0
Let t(h) be the first derivative of -h**6/840 - h**5/210 + h**4/168 + h**3/21 + 69*h**2 + 8. Let z(w) be the second derivative of t(w). Factor z(u).
-(u - 1)*(u + 1)*(u + 2)/7
Let b(c) = 2*c**2 + 8*c + 3. Let p be b(-4). Suppose 4*j - p*j = 5. Let -5*l**3 - 18 + 3*l - j*l**4 + 9*l**2 + 6*l**2 + 8 + 2*l = 0. What is l?
-2, -1, 1
Let h(q) = -3*q**2 + 3172*q + 518412. Let b(o) = 4*o**2 - 3166*o - 518411. Let p(t) = 8*b(t) + 9*h(t). Factor p(g).
5*(g + 322)**2
Let p(i) be the second derivative of 21/10*i**5 + 0 + 1/4*i**4 - 7*i**3 + 0*i**2 - 158*i - 1/10*i**6. Factor p(v).
-3*v*(v - 14)*(v - 1)*(v + 1)
Let u(q) = -5*q**3 + 2574*q**2 + 5163*q + 2602. Let p(r) = 70*r**3 - 36035*r**2 - 72280*r - 36430. Let l(h) = -6*p(h) - 85*u(h). Factor l(a).
5*(a - 518)*(a + 1)**2
Solve -11/3*z**2 + 4/3 + 7/3*z = 0 for z.
-4/11, 1
Let l(k) = 4*k**3 - 456*k**2 + 3168*k - 6208. Let c(x) = -2*x**3 + 230*x**2 - 1584*x + 3104. Let p(i) = -9*c(i) - 5*l(i). Determine u so that p(u) = 0.
4, 97
Let h(s) be the second derivative of 21*s**5/20 - 121*s**4/4 - 46*s**3 + 54*s**2 + 4*s + 77. Solve h(v) = 0.
-1, 2/7, 18
Suppose -13*b = -25*b + 7680. Let l = b + -640. Factor 0*n + 0 + 2/7*n**2 + l*n**3 - 2/7*n**4.
-2*n**2*(n - 1)*(n + 1)/7
Factor -2*i - 9*i**2 + 8 - 5/4*i**4 + 13/2*i**3.
-(i - 2)**3*(5*i + 4)/4
Factor 22*w**4 + 28*w**4 + 26692*w - 26692*w + 2*w**5 + 312*w**3.
2*w**3*(w + 12)*(w + 13)
Let r = 4399/24090 - 38/219. Let f(g) be the second derivative of 0 + 1/33*g**3 - 1/11*g**2 - 13*g + 1/66*g**4 - r*g**5. Find k such that f(k) = 0.
-1, 1
Let b(m) be the second derivative of 253*m - 35/3*m**3 + 60*m**2 + 5/12*m**4 + 0. Let b(s) = 0. What is s?
2, 12
Let c(b) be the second derivative of b**5/80 - 47*b**4/16 - 6*b**3 + 71*b**2/2 - b + 2056. Solve c(k) = 0.
-2, 1, 142
Let z be (38 - (-18592)/(-504) - (-1)/((-18)/65))/(-5). Suppose 10/3 - 27/2*j - z*j**3 + 32/3*j**2 = 0. What is j?
1/3, 1, 20
Find y such that -36*y + 129*y**3 + 4*y**2 - 312*y**3 + 35*y**2 + 180*y**3 = 0.
0, 1, 12
Let b(s) be the third derivative of -1/105*s**6 + 0*s**5 + 0*s + 0*s**3 + 2/735*s**7 + 62 + 0*s**4 - 2*s**2. Suppose b(m) = 0. What is m?
0, 2
Let f(c) = -13*c**2 + 27*c + 54. Let o(s) = -s**2. Let k(q) = -3*q**2 - 4*q + 6. Let h be k(1). Let v(y) = h*f(y) - 2*o(y). Factor v(r).
3*(r - 3)*(5*r + 6)
Find r such that -943*r - 25*r + 207368 - 320*r + 2*r**2 = 0.
322
Let i(k) be the second derivative of -16/15*k**6 + 0 + 2/3*k**7 + 0*k**3 - 6/7*k**4 + 0*k**2 + 187*k - 15/7*k**5. Solve i(t) = 0 for t.
-3/7, 0, 2
Let d(u) be the second derivative of -u**4/6 + 6556*u**3/3 - 10745284*u**2 - 700*u - 2. Suppose d(j) = 0. What is j?
3278
Suppose -108/7*a + 1458/7 + 2/7*a**2 = 0. Calculate a.
27
Let x(i) be the second derivative of i**6/30 + 17*i**5/10 + 131*i**4/4 + 884*i**3/3 + 1352*i**2 - 16*i - 6. Find s, given that x(s) = 0.
-13, -4
Let n be (4/48)/((-3235)/(-7764)). Suppose 28/5 - n*r**2 - 27/5*r = 0. Calculate r.
-28, 1
Factor 2/7*k**3 + 46/7*k**2 + 320/7*k + 600/7.
2*(k + 3)*(k + 10)**2/7
Let p(h) = -h**2 - 15*h + 113. Let c be p(-19). Let -27 - 32*s**2 - 24*s - 11*s**3 + c*s**3 - 2*s**5 - 22 + 81 = 0. Calculate s.
-4, -1, 1, 2
Let x(m) be the first derivative of m**4/2 - 82*m**3/3 - 485*m**2 - 2550*m - 11106. Find v such that x(v) = 0.
-5, 51
Let q(f) = -7*f**3 - 207*f**2 - 611*f - 414. Let c(t) = 5*t**3 + 208*t**2 + 615*t + 414. Let m(n) = -3*c(n) - 2*q(n). Factor m(i).
-(i + 1)*(i + 2)*(i + 207)
Factor 24714*y**2 - 816*y + 3656 - 7236*y - 8408*y + 50*y**4 - 12393*y**3 - 23*y**4.
(y - 457)*(3*y - 2)**3
Suppose -1077*n = -1074*n + 45. Let p be (-51)/(-6) + n/3 + -1. Factor p*c**3 + 5 - 5*c**2 - 5/2*c.
5*(c - 2)*(c - 1)*(c + 1)/2
Let b(s) be the first derivative of 88*s**2 + 24 + 4/3*s**3 + 1936*s. Factor b(n).
4*(n + 22)**2
Let w(p) be the second derivative of -7/8*p**3 + 30*p + 0 + 1/40*p**6 - 5/24*p**4 - 1/168*p**7 - 9/8*p**2 + 3/40*p**5. Factor w(d).
-(d - 3)**2*(d + 1)**3/4
What is f in 195/8*f - 639/4 + 3/8*f**2 = 0?
-71, 6
Let n(g) = -27*g**2 - 2513*g - 184. Let a be n(-93). Let p(j) be the first derivative of -4/3*j**6 + 0*j + 4/5*j**5 + 14 + j**4 + 0*j**3 + 0*j**a. Factor p(h).
-4*h**3*(h - 1)*(2*h + 1)
Let b(h) = 524*h + 308114. Let m be b(-588). What is s in 15/4*s**4 - 15*s**m + 5/4*s**5 - 10*s + 0 - 5/2*s**3 = 0?
-2, -1, 0, 2
Let q(t) be the first derivative of t**6/18 - 32*t**5/15 - 17*t**4/3 - 2*t**3/9 + 67*t**2/6 + 34*t/3 + 307. Let q(l) = 0. Calculate l.
-1, 1, 34
Let q be -28 + (191352/96)/67. Factor 0 - 1/4*c**2 + q*c.
-c*(c - 7)/4
Let w(x) be the first derivative of 9*x**4/4 - 220*x**3 - 443*x**2/2 - 74*x + 1365. Let w(u) = 0. What is u?
-1/3, 74
Find j, given that 25/2*j**2 + 65/4*j**3 - 30*j + 5/4*j**4 + 0 = 0.
-12, -2, 0, 1
Let q(r) = r**2 - 47*r + 177. Let f be q(43). Let k be (1 + f)*(-41)/(-82). Factor -8/9*w**k + 8/9*w + 2/9*w**4 - 2/3 + 4/9*w**2.
2*(w - 3)*(w - 1)**2*(w + 1)/9
Let m(s) be the third derivative of 0 + 5/336*s**8 + 35/8*s**4 + 5/6*s**5 + 0*s - 37*s**2 - 1/14*s**7 - 1/4*s**6 + 15/2*s**3. Factor m(r).
5*(r - 3)**2*(r + 1)**3
What is s in 16*s**3 - 97*s**4 - 40 + 36*s**2 - 2*s + 99*s**4 - 6*s - 7*s**2 + s**2 = 0?
-5, -2, 1
Suppose 42/17*y**3 + 18/17*y**4 + 0 + 12/17*y + 2/17*y**5 + 38/17*y**2 = 0. Calculate y.
-6, -1, 0
Let c(y) be the first derivative of -y**4/18 + 526*y**3/27 - 5720*y**2/3 - 3872*y + 6316. Find b, given that c(b) = 0.
-1, 132
Suppose -700 = -45*a + 52*a. Let p = a + 302/3. What is r in p*r**3 + 2*r - 2*r**2 - 2/3 = 0?
1
Suppose -5061/5*f - 339*f**3 - 1686/5 - 3/5*f**4 - 5067/5*f**2 = 0. Calculate f.
-562, -1
Let h(a) be the first derivative of -2*a**5/5 - 58*a**4/3 - 374*a**3/9 - 74*a**2/3 - 3206. Determine m so that h(m) = 0.
-37, -1, -2/3, 0
Let u = 19 - 14. Let c(a) = -6*a + 4 - u*a**2 + 3 - 4 - a**2. Let l(g) = -g**2 - g - 1. Let q(h) = c(h) - 3*l(h). Suppose q(i) = 0. Calculate i.
-2, 1
Let v(x) = -357*x + 42. Let m be v(0). Let u(k) be the second derivative of 1/3*k**4 - k - 21/10*k**5 + 0*k**3 + 0*k**2 + m. Find o such that u(o) = 0.
0, 2/21
Let c(o) be the first derivative of -4/3*o**3 - 46 - 8*o - 6*o**2. Factor c(x).
-4*(x + 1)*(x + 2)
Suppose -6*k - 23 = 61. Let p be (k/(-21))/((-2)/(-6)). Factor -1 - 20*c**2 + 30*c**p + 13 + 2*c - 22*c**2 - 2*c**3.
-2*(c - 1)*(c + 1)*(c + 6)
Suppose 8 = 4*g + 5*o - 6*o, 3*g - 3*o = 6. Find y such that -y**2 + 2*y**2 - 4*y**g + 18*y - 28 + 3*y**2 - 2*y**2 = 0.
2, 7
Let a(f) = 74*f**2 + 5179*f + 3348872. Let d(h) = 790*h**2 + 56968*h + 36837592. Let u(z) = 32*a(z) - 3*d(z). Factor u(s).
-2*(s + 1294)**2
Let v = 3407 + -23805/7. Suppose -6 - v*z - 2/7*z**2 = 0. What is z?
-21, -1
Let u(y) be the second derivative of y**6/10 - 333*y**5/20 + 4107*y**4/4 - 50653*y**3/2 - 630*y. Determine g, given that u(g) = 0.
0, 37
Let l = 405 - 289. Let x be -1 + l/18 - 10/2. Factor -x*n**4 - 2/3*n**3 + 0*n**2 + 2/9*n + 0.
-2*n*(n + 1)**2*(2*n - 1)/9
Let m(o) be the first derivative of -o**5 + 55*o**4/2 - 455*o**3/3 + 255*o**2 + 3464. Factor m(v).
-5*v*(v - 17)*