**2 + 21*y**3.
5*y**2*(7*y + 16)
Let b(d) be the second derivative of 12/17*d**3 - 1 - 78*d - 115/102*d**4 + 4/17*d**2. Factor b(h).
-2*(5*h - 2)*(23*h + 2)/17
Let x(f) be the first derivative of -9*f**5/50 + 7*f**4/30 + 2*f**3/15 - 72*f + 30. Let u(s) be the first derivative of x(s). Factor u(d).
-2*d*(d - 1)*(9*d + 2)/5
Let m(o) = -205*o**2 - 865*o - 70. Let a(k) = -205*k**2 - 862*k - 80. Let u(p) = 5*a(p) - 4*m(p). Let u(h) = 0. What is h?
-4, -6/41
Factor -128/9*y + 308/3 + 4/9*y**2.
4*(y - 21)*(y - 11)/9
Let z = -155631 - -1089419/7. Solve 66/7*j**2 + 726/7*j + 2662/7 + z*j**3 = 0 for j.
-11
Solve 24989 - 2169*x - 24645 + 623*x - 9*x**2 = 0 for x.
-172, 2/9
Let c(l) be the first derivative of -20*l**2 + 10/3*l**3 - l**5 + 1/12*l**6 - 32*l - 38 + 25/8*l**4. Factor c(u).
(u - 4)**3*(u + 1)**2/2
Let a be (-16)/2 - 47/(3008/(-624)). Let r(b) be the second derivative of 3*b**3 + 0 - 5*b + a*b**4 + 0*b**2 + 3/20*b**5. Let r(w) = 0. Calculate w.
-6, -1, 0
Let c be (4844/112 - 22) + (3 - 23). Let 1/4*u**2 + c + 3/2*u = 0. What is u?
-5, -1
Suppose -96*k**4 - 271356/11*k**2 - 49536/11*k**3 - 260100/11 - 6/11*k**5 - 482970/11*k = 0. What is k?
-85, -3, -2, -1
Let k = 7215031/26976330 - -8/72909. Let h = -5/74 + k. Factor 2/5 + 1/5*m - h*m**3 - 2/5*m**2.
-(m - 1)*(m + 1)*(m + 2)/5
Factor 85/2*o**2 + 40 + 325/4*o + 5/4*o**3.
5*(o + 1)**2*(o + 32)/4
Let o be (-4 + (-138)/(-30))*(-321 - -322 - (-7)/3). Find n such that -72/5 + 6*n - 2/5*n**o = 0.
3, 12
Suppose 10*x + 233868 = 16*x. Find d such that 34610*d**2 + 9434*d**2 + 354*d**4 + 5896*d**3 + 8*d**5 + 29282 + x*d + 88798*d = 0.
-11, -1/4
Suppose 4*t + 1 = 57. Let i be (63/t)/(6/4). Factor 5/3*h**i + 1/3*h**5 - 4/3*h**4 - 2/3*h**2 + 0*h + 0.
h**2*(h - 2)*(h - 1)**2/3
Let j(a) be the third derivative of a**5/90 + 31*a**4/36 - 140*a**3/9 - a**2 + 1374. Suppose j(z) = 0. What is z?
-35, 4
Factor -3/5*d**3 + 0 + 72/5*d - 6/5*d**2.
-3*d*(d - 4)*(d + 6)/5
Suppose -24 + 272 = -31*f. Let l be (1/(-10))/(f*(-5)/(-160)). Factor 28/5*h - l*h**2 - 98/5.
-2*(h - 7)**2/5
Factor -3*c**3 + 14 + 11*c + 0*c**3 + 2*c**3 - 8*c**2 - 18 + 22.
-(c - 2)*(c + 1)*(c + 9)
Solve -12592/7*j - 1144/7 - 242/7*j**3 - 34694/7*j**2 = 0.
-143, -2/11
Let w(o) be the second derivative of 17*o**4/24 + 11*o**3/6 + 5*o**2/4 + 1535*o. Let w(q) = 0. What is q?
-1, -5/17
Let r(i) be the first derivative of -i**6/24 + 13*i**5/6 - 125*i**4/24 + 81*i**2/2 - 245. Let g(k) be the second derivative of r(k). Find u such that g(u) = 0.
0, 1, 25
Let y(h) be the second derivative of -h**4/12 - 20*h**3/3 + 41*h**2/2 - 1441*h. Factor y(d).
-(d - 1)*(d + 41)
Let o = -150415/16 - -9401. Let f(c) be the first derivative of 0*c**2 + 0*c**3 + 1/12*c**6 + 0*c - 5 + 1/20*c**5 - o*c**4. Factor f(u).
u**3*(u + 1)*(2*u - 1)/4
Suppose -611*u = -657*u + 92. Let w(o) be the third derivative of 16*o**u + 2/15*o**5 + 7/30*o**6 + 0 - 7/6*o**4 - 4/3*o**3 + 0*o. Solve w(g) = 0 for g.
-1, -2/7, 1
Let z(y) be the third derivative of 0*y**3 + 0 - 1/30*y**5 - 4*y**2 - 9*y + 1/40*y**6 + 0*y**4 + 1/105*y**7. Factor z(c).
c**2*(c + 2)*(2*c - 1)
Let t be (2 + 6)*44631/43092. Factor -18/7 + t*b**2 - 10/7*b**3 - 78/7*b.
-2*(b - 3)**2*(5*b + 1)/7
Let w(a) = -2*a + 42. Let y be w(19). Let h be (1 + y)/((456/(-32))/(-19)). Factor 4*z**2 + h - 12*z + 4/3*z**3.
4*(z - 1)**2*(z + 5)/3
Let k(t) be the first derivative of -2*t**5/5 + 119*t**4/6 - 470*t**3/27 + 13*t**2/3 + 1385. Factor k(h).
-2*h*(h - 39)*(3*h - 1)**2/9
Let a(j) be the second derivative of j**6/150 - j**5/50 - j**4/4 + 5822*j. Factor a(s).
s**2*(s - 5)*(s + 3)/5
Suppose -3*j - 161*h + 24 = -162*h, -2*h - 18 = 0. Let s(x) be the second derivative of 25/42*x**3 - 8*x + 11/140*x**j + 0 - 3/7*x**2 + 1/2*x**4. Factor s(g).
(g + 1)*(g + 3)*(11*g - 2)/7
Let p(x) = 47*x**2 - 3966*x - 3932297. Let d(t) = -88*t**2 + 7932*t + 7864593. Let y(m) = -8*d(m) - 15*p(m). Factor y(w).
-(w + 1983)**2
Let b be (-3110)/7775*((-6)/8)/((-18)/(-10)). Let c(s) be the first derivative of -11/3*s**2 + 4*s + 8/9*s**3 + b*s**4 + 4. Let c(m) = 0. Calculate m.
-6, 1
Let v = 128/3 - 42. Let o = -2/387157 + 387163/1161471. Solve v*r**3 - o*r**5 + 0 - 1/3*r + 0*r**4 + 0*r**2 = 0.
-1, 0, 1
Let l be 1/(-2*(-1)/(-4))*-16. Suppose 3*u = 7*u - t - 20, 4*t = 4*u - l. Factor -2*n + 5*n - 2*n**5 + 23*n**2 + 6*n**3 - 33*n**2 + n + 2*n**u.
-2*n*(n - 1)**3*(n + 2)
Suppose -97*d = 120*d - 317 - 117. Let v(k) be the first derivative of 0*k + 2/7*k**d - 2/21*k**3 - 1/14*k**4 - 30. Suppose v(l) = 0. Calculate l.
-2, 0, 1
Let j(i) be the first derivative of -i**4/5 + 68*i**3/15 + 36*i**2/5 + 368. Factor j(z).
-4*z*(z - 18)*(z + 1)/5
Suppose -3*u + 55 = -0*f + f, -2*f = -5*u - 55. Factor 45*z - 2*z**3 + f - 28 - 31*z.
-2*(z - 3)*(z + 1)*(z + 2)
Let n = 8688/13 - 82586/117. Let i = -332/9 - n. Let -1/3*t**5 + 4/3*t**3 + 0*t**4 + 2/3 - i*t**2 - t = 0. Calculate t.
-2, -1, 1
Let h be (4 + -3)/(-1)*-2. Factor 108*j**2 - j + j**4 - j**3 - 113*j**h - 2*j.
j*(j - 3)*(j + 1)**2
Let i be (6 - -4) + (-30)/3. Let m(j) be the second derivative of -3/2*j**3 + 3/20*j**5 + 0*j**4 + 3*j**2 + 6*j + i. Factor m(r).
3*(r - 1)**2*(r + 2)
Let z be (-4)/34 + (-77280)/6664 + 12. Factor -2/7*y + 0*y**2 + 0 + z*y**3.
2*y*(y - 1)*(y + 1)/7
Let k(l) = -4*l**2 + 1580*l - 4092. Let i(x) = 4*x**2 - 1619*x + 4091. Let y(v) = -12*i(v) - 11*k(v). Factor y(h).
-4*(h - 510)*(h - 2)
Let w(s) = -7*s**3 + 6*s**2 - 20*s + 8. Let k(y) = -6*y**3 + 5*y**2 - 18*y + 8. Let x(t) = -8*k(t) + 7*w(t). Factor x(h).
-(h - 2)**2*(h + 2)
Let l = 1611 - 1584. Let o be l/7 + (-22)/(-154). Factor 0 + 6/5*b**3 + 4/5*b - 2/5*b**5 + 2*b**2 - 2/5*b**o.
-2*b*(b - 2)*(b + 1)**3/5
Let s(k) be the second derivative of 0*k**2 + 5/48*k**4 - 1/20*k**5 - 1/120*k**6 - 1 + 0*k**3 - 2*k. Factor s(j).
-j**2*(j - 1)*(j + 5)/4
Let a(q) = -7*q**2 - 6 - 7 + 2*q - q**2 + 6*q**2 + 24*q + q**3. Let x(c) = 2*c**2 + 2*c + 1. Let o(d) = 2*a(d) - 6*x(d). Solve o(y) = 0 for y.
2, 4
Let r = 208 + -204. Let i be (-2 + r)/1 - 0. Factor 0 - 1/5*x - x**i.
-x*(5*x + 1)/5
Let i(m) = 44*m**2 + 824*m + 3564. Let n(g) = -4*g**2 - 75*g - 324. Let a = -494 + 462. Let k(y) = a*n(y) - 3*i(y). Factor k(w).
-4*(w + 9)**2
Determine s so that -144/5 + 6/5*s + 3/5*s**2 = 0.
-8, 6
Let a be 178367/1228 + (-1*1 - -6). Let h = a + -2989/20. Factor -2*b**4 + 0 + 0*b - 14/5*b**3 - h*b**2.
-2*b**2*(b + 1)*(5*b + 2)/5
Find c such that 5*c**5 - 52*c + 45*c**3 + 136*c**4 + 55*c**2 + 125*c**4 + 2*c - 316*c**4 = 0.
-1, 0, 1, 10
Factor -4*n**4 + 5*n**4 + 26*n**2 - 9604*n - 16*n**3 + 9592*n + n**4.
2*n*(n - 6)*(n - 1)**2
Let l(x) = -17*x**3 + 397*x**2 - 2025*x + 2647. Let i(z) = 25*z**3 - 595*z**2 + 3040*z - 3970. Let h(b) = 7*i(b) + 10*l(b). Solve h(t) = 0.
2, 4, 33
Suppose 0 = -19*t + 3*t + 80. Let z = 13 + -9. Suppose t*c**z + c**5 - 664*c**2 + 664*c**2 - 4*c**4 = 0. Calculate c.
-1, 0
Let k(s) = -s**2 - 31*s + 271. Let c be k(7). Let j(w) be the second derivative of 1/26*w**4 + 0*w**2 + 2/39*w**3 + 1/130*w**c + 8*w + 0. Factor j(o).
2*o*(o + 1)*(o + 2)/13
Suppose 21 = 5*y - 4. Suppose 20 = y*z - 55. Solve -5*i**4 - i - z*i**3 - 10*i**2 + 0*i**2 + i = 0.
-2, -1, 0
Let g(w) be the first derivative of 27*w**4/4 + 46*w**3 - 147*w**2/2 - 18*w - 5340. Find p such that g(p) = 0.
-6, -1/9, 1
Let w be (-1*(-716)/4)/(-1). Let f = 260 + w. Factor 0 - 1 + f*g**2 + 6 - 1 - 36*g.
(9*g - 2)**2
Suppose 79199*b - 79123*b - 228 = 0. Find t, given that 3*t**b - 8/7*t + 12/7*t**5 + 0 - 30/7*t**2 + 55/7*t**4 = 0.
-4, -1, -1/4, 0, 2/3
Let p(x) = -x**3 + 9*x**2 + 22*x - 3. Suppose -13*j - 33 = -2*j. Let g(h) = 1. Let t(v) = j*g(v) - p(v). Let t(d) = 0. What is d?
-2, 0, 11
Let h be 17 - 1548/(-6966)*222/(-4). Factor -h*j**4 + 0 - 2/3*j**2 + 10/3*j**3 + 0*j + 2*j**5.
2*j**2*(j - 1)**2*(3*j - 1)/3
Let y be 4/(-34) + (-10766)/680 + 16. Let a(l) be the third derivative of 0*l + 28*l**2 - y*l**5 + 0*l**4 + 1/40*l**6 + 0 + 0*l**3 + 1/35*l**7. Factor a(o).
3*o**2*(o + 1)*(2*o - 1)
Let x = 477/77 + 177/11. Suppose 435/7*f - x*f**2 - 150/7 + 15/7*f**3 = 0. Calculate f.
2/5, 5
Let w(u) be the second derivative of u**5/5 - 52*u**4 + 4158*u**3 - 23716*u**2 - 4343*u. Solve w(n) = 0 for n.
2, 77
Let p(l) be the first derivative of -10*l**3/21 - 992*l**2/7 - 792*l/7 + 600. Let p(a) = 0. What is a?
-198, -2/5
Let h(r)