 1/66*b**4 - 4/33*b**3 - 4/11*b**z. Solve g(k) = 0.
-2
Let s(w) = -6*w**2 + 458*w - 9611. Let h(n) = 2*n**2 - 152*n + 3204. Let y(u) = 16*u - 53. Let d be y(4). Let r(k) = d*h(k) + 4*s(k). Factor r(b).
-2*(b - 40)**2
Factor 125/2*k + 32*k**2 + 31 + 1/2*k**3.
(k + 1)**2*(k + 62)/2
Let p = -58 - -61. Factor -32*a - 63*a**3 - 24*a**4 + 12*a**4 + 7*a**p - 80*a**2.
-4*a*(a + 2)**2*(3*a + 2)
Let x(s) be the second derivative of s**6/660 - 2*s**5/33 - 7*s**4/33 + s**3/3 + 4*s**2 - 10*s - 1. Let z(r) be the second derivative of x(r). Factor z(g).
2*(g - 14)*(3*g + 2)/11
Determine x so that -1920*x**3 + 720 - 516*x - 1116*x**2 + 45*x**5 + 106*x**4 + 62*x**4 + 2217*x**3 - 54*x**5 = 0.
-3, -1, 2/3, 2, 20
Let b(i) = -i**3 + 19*i**2 - 84*i + 111. Let c be b(3). Factor -24/7 + 4/7*k**4 - 12/7*k**2 + 44/7*k - 12/7*k**c.
4*(k - 3)*(k - 1)**2*(k + 2)/7
Suppose -64/3*n + 224 - 22/3*n**2 - 1/3*n**3 = 0. What is n?
-14, -12, 4
Let s(j) be the first derivative of 1/2*j**4 + 2/3*j**3 - 2/5*j**5 - j**2 + 0*j - 120. Let s(p) = 0. Calculate p.
-1, 0, 1
Let y = 289 - 290. Let v be (1/(-2))/(y/6). Find n such that 9/4 - 3/4*n - 1/4*n**v - 5/4*n**2 = 0.
-3, 1
Let r = 28987 + -28984. Let x(b) be the second derivative of -23*b + 5/6*b**r - 5*b**2 + 5/12*b**4 + 0. Suppose x(c) = 0. Calculate c.
-2, 1
Let g(s) = -190*s**4 + 60648*s**3 - 25854*s**2 - 29642*s - 4944. Let c(x) = x**4 + x**2 + x. Let z(r) = 6*c(r) - g(r). What is f in z(f) = 0?
-2/7, 1, 309
Suppose -2 = k + 4*o, -2*k + 6*k = 2*o + 10. Factor 7*f**k - 3*f**2 - 45*f + 3*f**2 + 40 - 2*f**2.
5*(f - 8)*(f - 1)
Determine l, given that 1344/13*l - 1346/13 + 2/13*l**2 = 0.
-673, 1
Let f(o) be the third derivative of -5/3*o**4 + 1/6*o**5 + 0 + 9*o**2 + 0*o**3 - 3*o + 1/24*o**6. Factor f(z).
5*z*(z - 2)*(z + 4)
Factor -15/4*j - 9/4*j**2 - 1/4*j**3 - 7/4.
-(j + 1)**2*(j + 7)/4
Let f(h) = -h + 10. Suppose 32 = -n + 5*n. Let t be f(n). Factor j**t - 97*j**3 + 2*j**2 + 109*j**3.
3*j**2*(4*j + 1)
Let q be (3/2 - 16/8)*-8. What is v in v - 276*v**2 + 2907*v**3 - 2699*v**3 + 32 - 36*v**q + 71*v = 0?
-2/9, 1, 4
Suppose -65 = -0*l + 6*l - 19*l. Let w(m) be the second derivative of 0 + 15*m - 3/16*m**4 + 1/8*m**3 + 1/4*m**2 - 1/8*m**l. Factor w(d).
-(d + 1)*(2*d - 1)*(5*d + 2)/4
Let v(o) be the first derivative of -5*o**6/6 + 23*o**5 - 55*o**4/2 - 1126. Determine s so that v(s) = 0.
0, 1, 22
Let j(t) = -510*t + 10714. Let n be j(21). Let m(z) be the second derivative of 0 - 24*z + 1/4*z**n - 2*z**2 + 1/40*z**5 - 1/60*z**6 - 1/3*z**3. Factor m(y).
-(y - 2)**2*(y + 1)*(y + 2)/2
Suppose -526*n = -2242*n + 10296. Solve 0 + 0*h - 4*h**2 + 1/4*h**5 - 9/4*h**4 + n*h**3 = 0 for h.
0, 1, 4
Let g(a) = -132*a + 1170. Let l(o) = -o**2 - 15*o. Let m(c) = -g(c) - 3*l(c). Factor m(u).
3*(u - 6)*(u + 65)
Factor -33/4*a**2 + 145/4 - 111/4*a - 1/4*a**3.
-(a - 1)*(a + 5)*(a + 29)/4
Factor 42 + 4*r**2 - 111 + 38 + 31 - 2372*r.
4*r*(r - 593)
Suppose 144*b - 247 - 232 = 241. Let q(g) be the second derivative of g**b + 0 - 5/2*g**2 + 10*g + 5/12*g**4 - 10/3*g**3. Solve q(z) = 0 for z.
-1, -1/4, 1
Let d(f) be the third derivative of 25*f**8/168 + 46*f**7/21 + 229*f**6/60 - 10*f**5/3 - 23*f**4/3 + 32*f**3/3 + f**2 - 169*f. Let d(w) = 0. Calculate w.
-8, -1, 2/5
Let j(r) be the first derivative of 0*r**3 - r - 1/30*r**6 + 1/10*r**5 + 0*r**4 + 0*r**2 + 14. Let y(q) be the first derivative of j(q). What is o in y(o) = 0?
0, 2
Let q(x) = x**3 - 166 + 91*x**2 - 206*x**2 + 88*x**2 + 198*x. Let z(m) = -2*m**3 + 54*m**2 - 395*m + 333. Let l(o) = -5*q(o) - 3*z(o). Factor l(c).
(c - 13)**2*(c - 1)
What is f in 240/7 - 2/7*f**3 - 22*f - 12*f**2 = 0?
-40, -3, 1
Let w(h) be the second derivative of h**4/30 + 2*h**3/3 + 16*h**2/5 + 3*h + 171. Factor w(t).
2*(t + 2)*(t + 8)/5
Solve -843/2*h**3 + 11/2*h**5 + 0*h + 351*h**4 + 65*h**2 + 0 = 0 for h.
-65, 0, 2/11, 1
Let q be ((-140)/(-8) + -16)/((-4 + 3)/(-2)). Let i = 29/15 + -4/3. Factor 3/5*d**2 + 3/5*d - i*d**q - 3/5.
-3*(d - 1)**2*(d + 1)/5
Factor 170*i**2 - 355*i**2 + 183*i**2 + 7 + 121 + 60*i.
-2*(i - 32)*(i + 2)
Let z(i) = -23*i**2 - 638*i - 6623. Suppose -40 = -0*r + 5*r. Let f(w) = -15*w**2 - 425*w - 4415. Let m(t) = r*f(t) + 5*z(t). Factor m(n).
5*(n + 21)**2
Solve 3/2*k**2 + 44583075/2 - 11565*k = 0.
3855
Let s(u) = -52*u**3 + 4*u**2 + 4 + 103*u**3 - 5*u - 50*u**3. Let q be s(-5). Suppose 5*k - q*k**2 + 5*k**2 + 3 + 1 = 0. What is k?
-4, -1
Let g(d) be the third derivative of -40 + 0*d + 2*d**2 + 1/15*d**3 + 2/15*d**4 - 3/50*d**5. Suppose g(n) = 0. Calculate n.
-1/9, 1
Let v = 20066 - 19956. Solve 273/4*u**4 - 36*u - 49/4*u**5 + 4 + v*u**2 - 134*u**3 = 0.
2/7, 1, 2
Let k(m) be the first derivative of m**4/20 + 31*m**3/15 - 16*m**2/5 - 4566. Factor k(b).
b*(b - 1)*(b + 32)/5
Let p be -11 - (16 + 7/((-350)/1510)). Factor 1/5*w**3 - p + 7/5*w**2 + 8/5*w.
(w - 1)*(w + 4)**2/5
Let t be 4*2/28 - 133825/(-371). Let r = 361 - t. Find m, given that 3/2*m**2 - 3/2*m**4 + 7/2*m**3 - 5/2*m**5 + r - m = 0.
-1, 0, 2/5, 1
Let k(y) be the second derivative of 1/72*y**4 + 19 - 2*y + 0*y**2 - 7/36*y**3. Factor k(f).
f*(f - 7)/6
Let f(h) be the second derivative of h**7/105 + 14*h**6/75 - 3*h**5/50 - 4*h**4/3 + 28*h**3/15 - 3722*h. Determine s, given that f(s) = 0.
-14, -2, 0, 1
Let k(h) be the first derivative of 34*h**5/25 - 9*h**4/5 + 2*h**3/15 - 2460. Factor k(t).
2*t**2*(t - 1)*(17*t - 1)/5
Let o(r) be the second derivative of -r**6/1980 - r**5/220 + r**4/33 + 10*r**3 + 50*r. Let h(f) be the second derivative of o(f). Suppose h(y) = 0. What is y?
-4, 1
Let a be 70/74 + -1 - 89626/(-161764). Suppose -a*i**2 + 1/4*i**3 + 2*i**4 + 5/4*i**5 + 0*i + 0 = 0. What is i?
-1, 0, 2/5
Let w(p) = p**2 + 6*p + 5. Let z be w(-6). Suppose -1766*x = 7118*x - 35536. Determine f so that 1/2*f**z - 7/2*f**3 - 6*f - f**x + 0 + 10*f**2 = 0.
-3, 0, 1, 2
Let v = 505/2717 + -1/247. Let t be 0*(((-9269)/(-184))/13 + -4). Factor -12/11*d - v*d**3 + t + 10/11*d**2.
-2*d*(d - 3)*(d - 2)/11
Let m(t) be the third derivative of -t**6/120 - t**5/60 + t**4/12 + t**3/2 - 46*t**2. Let f(s) = -s**3 + s + 4. Let c(d) = 3*f(d) - 4*m(d). Factor c(q).
q*(q - 1)*(q + 5)
Let h(b) be the second derivative of 244/3*b**3 - 7442*b**2 - 49*b - 3 - 1/3*b**4. Factor h(w).
-4*(w - 61)**2
Let z = 540 + -538. Let n(y) = 15*y**3 - 67*y**2 + 8*y + 11. Let t(o) = 3*o**3 - 13*o**2 + 2*o + 2. Let i(l) = z*n(l) - 11*t(l). Factor i(u).
-3*u*(u - 2)*(u - 1)
Let v(u) be the third derivative of 0 + 0*u + 263/40*u**6 - 5*u**5 + 7/16*u**8 + 88*u**2 + 3/2*u**4 - 16/5*u**7 + 0*u**3. Let v(i) = 0. Calculate i.
0, 2/7, 1, 3
Let g = -21657 - -21664. Let o(x) be the third derivative of 0*x + 1 - 18*x**2 + 0*x**3 + 0*x**6 + 1/140*x**5 + 0*x**4 - 1/490*x**g. Factor o(l).
-3*l**2*(l - 1)*(l + 1)/7
Let z(d) = 14*d**3 + 749*d**2 + 49160*d - 49934. Let w(r) = -5*r**3 - 249*r**2 - 16387*r + 16645. Let p(o) = 11*w(o) + 4*z(o). Factor p(x).
(x - 1)*(x + 129)**2
Let g(s) be the first derivative of -s**4/18 - 70*s**3/27 + 77*s**2/9 + 74*s/3 + 507. Factor g(a).
-2*(a - 3)*(a + 1)*(a + 37)/9
Suppose -2*y + 6 = 4*u, -4*y - 19 = -5*u - 5. Factor 16*d + 2*d - d**u - 50 + 2*d - d**2.
-2*(d - 5)**2
Let 252/17 - 130/17*g + 2/17*g**2 = 0. Calculate g.
2, 63
Let b(h) be the second derivative of 2/45*h**6 + 4*h + 0*h**2 + 1/10*h**5 + 1/18*h**4 + 0*h**3 + 3. Factor b(p).
2*p**2*(p + 1)*(2*p + 1)/3
Let a(l) be the second derivative of -3*l**5/100 - 942*l**4/5 - 2366304*l**3/5 - 2972077824*l**2/5 - 371*l - 6. Solve a(y) = 0.
-1256
Suppose -17 = -3*h - 0*h - 2*d, -3*d = h - 8. Suppose -128 = -37*o + h*o. What is g in -3/2*g**3 - 3/4*g - 2*g**2 + 1/4*g**5 + 0*g**o + 0 = 0?
-1, 0, 3
Let g(t) be the first derivative of 2*t**3/3 - 9*t**2 + 40*t - 9. Let a be g(4). Suppose a + 1/4*o - 3/4*o**2 = 0. Calculate o.
0, 1/3
Let s = 31247/249720 + -4/31215. Find c such that -s*c**2 - 5/4 - 7/8*c = 0.
-5, -2
Let x(t) = t**3 + 6*t**2 - 14*t + 22. Let y be x(-8). Factor -2620*s + 4*s**4 + 2620*s + 5*s**4 - 15*s**2 + y*s**3.
3*s**2*(s - 1)*(3*s + 5)
Factor 347/4 + 1/4*t**2 - 87*t.
(t - 347)*(t - 1)/4
Factor -2/5*x**2 - 2/5*x**3 + 48/5 + 28/5*x.
-2*(x - 4)*(x + 2)*(x + 3)/5
Let r(k) be the second derivative of -4/21*k**3 - 47*k + 0 - 17/21*k**4 + 0*k**2. Factor r(c).
-4*c*(17*c + 2)/7
Let q(c) = 5*c**3 - 44*c**2 - 312*c. Let k(s) = -