Factor 1536 + 34592/3*s**2 + t*s + 936*s**4 + 36*s**5 + 6960*s**3.
4*(s + 12)**2*(3*s + 2)**3/3
Factor 4*g - 21 - 35 + 969*g**2 - 471*g**2 - g**4 - 456*g**2 + 11*g**3.
-(g - 14)*(g - 1)*(g + 2)**2
Suppose 2*i = i + 61. Let n = -56 + i. Factor -24*o**4 + 40*o + 20*o**2 - 30*o**3 + 5*o**n - 25*o**4 + 44*o**4.
5*o*(o - 2)**2*(o + 1)*(o + 2)
Let t be (-115)/(-15) - (8/3 + -1). Let a(d) be the second derivative of 6*d**3 + 15*d - 27/2*d**2 + 0 - 1/10*d**t - 3/5*d**5 + 1/2*d**4. Solve a(q) = 0.
-3, 1
Let f(a) be the first derivative of -a**4/22 + 266*a**3/11 - 40779*a**2/11 + 388090*a/11 - 1039. Determine z so that f(z) = 0.
5, 197
Solve -1/4*j**3 - 2427363/4*j - 2430481/4 + 3117/4*j**2 = 0.
-1, 1559
Let v be ((-6)/20)/((5*1/(-4))/((-1085)/(-651))). Let 4*s + v*s**2 + 18/5 = 0. What is s?
-9, -1
Let -55921 + 1400*z**3 + 53762 - 6771*z**2 - 97246 - 89819*z**2 - 5*z**4 - 197400*z = 0. Calculate z.
-1, 141
Let i(b) be the third derivative of -4 - 1/2*b**5 + 3*b**2 - 14/3*b**3 + 0*b - 19/8*b**4 - 1/120*b**6. Factor i(q).
-(q + 1)**2*(q + 28)
Suppose -813/8*h**2 + 57/8*h**4 + 471/4*h - 42 + 147/8*h**3 + 3/8*h**5 = 0. What is h?
-14, -8, 1
Let w = 87840 - 87837. Solve -3/5*q**w - 24/5*q**2 + 24/5 + 3/5*q = 0.
-8, -1, 1
Let s be 37/4 - (-6)/8. What is n in 38*n**5 - 135*n**3 + 12 + 8*n - 10*n**4 - s*n**5 - 17*n**4 - n**5 - 85*n**2 = 0?
-1, -2/3, 1/3, 3
Let c be (-48)/(-216) + 5976/(-1215)*6/(-4). Factor c*r + 4/5 + 7*r**2 + 17/10*r**3.
(r + 2)**2*(17*r + 2)/10
Let r(q) be the first derivative of 0*q + 5*q**4 + 2/3*q**6 + 0*q**2 + 24/5*q**5 + 0*q**3 - 38. Determine n so that r(n) = 0.
-5, -1, 0
Let u = 397 + -276. Suppose u*w + 2 = 122*w. Find j such that 6/7*j**w + 0 - 3/7*j**3 - 3/7*j = 0.
0, 1
Let d(c) be the second derivative of -1/24*c**4 - 13/40*c**5 - 7/60*c**6 - 141*c - 1/84*c**7 + 7/6*c**3 + 0 + 2*c**2. Find u, given that d(u) = 0.
-4, -2, -1, 1
Let q(s) be the third derivative of -s**8/1512 + 4*s**7/315 + s**6/20 - 9*s**5/5 - 1173*s**2. Suppose q(l) = 0. What is l?
-6, 0, 9
Let v(q) be the first derivative of q**6/120 + 3*q**5/20 + 62*q**2 + 98. Let f(b) be the second derivative of v(b). Factor f(s).
s**2*(s + 9)
Determine l so that 27/7*l**4 + 6/7*l**3 + 624/7*l - 837/7*l**2 + 180/7 = 0.
-6, -2/9, 1, 5
Let f(p) be the second derivative of -p**5/70 + 16*p**4/7 + 65*p**3/7 + 14*p**2 + 31*p - 13. Factor f(a).
-2*(a - 98)*(a + 1)**2/7
Suppose 4*q + 31 = 2*u + 93, 3*q - 14 = -5*u. Let t(n) be the first derivative of 0*n**4 - q + 1/12*n**6 + 0*n + 1/5*n**5 - 1/4*n**2 - 1/3*n**3. Factor t(g).
g*(g - 1)*(g + 1)**3/2
Let w(t) be the second derivative of -37*t**6/150 + 519*t**5/50 - 14*t**4/15 + 7287*t. Factor w(p).
-p**2*(p - 28)*(37*p - 2)/5
Let x(k) be the first derivative of k**6/3 + 2*k**5 - 9*k**4/2 - 34*k**3/3 + 8*k**2 + 24*k - 1468. What is f in x(f) = 0?
-6, -1, 1, 2
Suppose -3*d - 2*f - 338 = 309, -d - 213 = 2*f. Let r = d - -224. Factor -1/2*x**2 - 49/2 + r*x.
-(x - 7)**2/2
Let d be (-2)/(-6) + 854/21. Let b = d - 39. Determine x so that -15*x**2 + 8*x + 3 + 0 - 7 + 11*x**b = 0.
1
Let b(a) be the first derivative of a**5/15 + 13*a**4/12 + 29*a**3/9 - 13*a**2/6 - 10*a + 1474. Suppose b(h) = 0. What is h?
-10, -3, -1, 1
Let k(j) be the first derivative of 5*j**4/6 + 118*j**3/3 - 293*j**2/3 + 74*j - 9916. Factor k(f).
2*(f - 1)*(f + 37)*(5*f - 3)/3
Suppose 878*c = -1957*c + 940*c + 3790. Find l, given that -39/5 - 3/5*l**c - 42/5*l = 0.
-13, -1
Let a(b) be the second derivative of -b**6/24 + b**5/4 + 15*b**4/8 + 25*b**3/6 - 6*b**2 - 209*b. Let x(h) be the first derivative of a(h). Solve x(l) = 0 for l.
-1, 5
Suppose 0 = -11*t - 3*t + 28. Suppose -32 - 12*n**t + 47*n - 2*n**3 + 683*n**4 - 682*n**4 - 7*n = 0. Calculate n.
-4, 2
Suppose -8*p - 1 = -c - 6*p, 5*p = c + 5. Let a be 65/20 + c*(-3)/(-12). Factor 2 + t**3 - a*t**2 + 3/2*t.
(t - 4)*(t - 1)*(2*t + 1)/2
Let k(o) = 6*o**4 - o**3 - 2*o - 3. Let f(u) = -41*u**4 - 9*u**3 + 660*u**2 + 3212*u - 3822. Let i(d) = -f(d) - 6*k(d). Factor i(s).
5*(s - 12)*(s - 1)*(s + 8)**2
Let k(x) be the second derivative of -133*x**5/60 + 65*x**4/12 - 3*x**3 - 4*x**2/3 - 603*x - 2. Solve k(p) = 0.
-2/19, 4/7, 1
Let u(h) = -4*h**2 + 120*h + 2. Let a(i) = 3*i**2 + 16*i + 18. Let m be a(-6). Let c be u(m). What is d in 1/7*d**4 - 2/7*d + 0 - 3/7*d**c + 0*d**3 = 0?
-1, 0, 2
Let m(f) be the second derivative of f**5/50 - 79*f**4/30 + 638*f**3/15 - 112*f**2 - 1435*f. Solve m(p) = 0.
1, 8, 70
Let u(d) = 2*d**2 - 2. Let j(v) = 34*v**2 + 102*v - 36. Let b = -286 - -250. Let m(x) = b*u(x) + 2*j(x). Let m(h) = 0. What is h?
0, 51
Factor 0 - 3/4*j**3 - 3039/4*j + 1521/2*j**2.
-3*j*(j - 1013)*(j - 1)/4
Let d = 2273/6 + -925105/2442. Let t = 403/1628 + d. Suppose -5/4*r**4 + 17/4*r**2 - t*r**5 + 11/2*r - 1/4*r**3 + 2 = 0. Calculate r.
-4, -1, 2
Suppose 3*r + 1070 - 347 = 0. Let w = r + 483/2. What is s in 0 - w*s - 3/4*s**2 + 1/4*s**3 + 1/4*s**5 + 3/4*s**4 = 0?
-2, -1, 0, 1
Let w(j) = 61*j**3 + 437*j**2 - 1248*j + 320. Let b(n) = 580*n**3 + 4152*n**2 - 11856*n + 3040. Let q(t) = -5*b(t) + 48*w(t). Suppose q(h) = 0. What is h?
-10, 2/7, 2
Let k(d) be the first derivative of -2*d**5/5 - 2*d**4 + 54*d**3 + 324*d**2 + 4076. Suppose k(f) = 0. Calculate f.
-9, -4, 0, 9
Let r be -60 + 68 - (-1 - (-77)/9). Let t(x) be the first derivative of 0*x**3 + 7 - r*x - 1/3*x**2 + 1/18*x**4. Factor t(o).
2*(o - 2)*(o + 1)**2/9
Suppose -3*b + b - h = -38, -11*b - 4*h = -212. Solve 1/5*x**3 + b + 13*x + 14/5*x**2 = 0.
-5, -4
Let d(n) be the third derivative of 5*n**4 - 1/20*n**5 + 0 - 200*n**3 - 16*n**2 + 0*n. What is f in d(f) = 0?
20
Find c such that 6*c**4 + 161*c**2 - 4*c**4 + 2 - 343*c**2 + 178*c**2 = 0.
-1, 1
Let m(a) be the first derivative of a**3 + 359*a**2 + 239*a + 2180. Suppose m(n) = 0. Calculate n.
-239, -1/3
Let y(b) = -6*b**5 + 7*b**4 + 10*b**3 - 7*b**2 - 7*b + 7. Let v(d) = 5*d**5 - 5*d**4 - 10*d**3 + 6*d**2 + 6*d - 6. Let x(p) = 7*v(p) + 6*y(p). Factor x(i).
-i**3*(i - 5)*(i - 2)
Let l(z) be the first derivative of -z**3/3 - 45*z**2/2 + 196*z - 1362. Factor l(p).
-(p - 4)*(p + 49)
Let o(y) be the third derivative of -y**7/105 + 91*y**6/30 + 367*y**5/30 + 46*y**4/3 + 4469*y**2. Factor o(x).
-2*x*(x - 184)*(x + 1)**2
Let o(l) = l**2 - l - 19. Let h be o(-5). Suppose -4*b = -h - 9. Factor -25*x**2 - 100*x**2 + 35*x**2 - b*x**4 + 135 + 40*x**3.
-5*(x - 3)**3*(x + 1)
Let n(o) be the third derivative of o**5/48 + 295*o**4/96 - 305*o**3/12 + 6*o**2 - 21*o. Factor n(q).
5*(q - 2)*(q + 61)/4
Suppose 107 = 59*j - 70. Factor -5454*y + 594*y - 5191*y**2 + 3263*y**2 + 4088*y**2 + 3645 - 320*y**j.
-5*(4*y - 9)**3
Factor 199*i + 752*i + 2062 + 38*i**2 - 974 - 998 + 25*i**2.
3*(i + 15)*(21*i + 2)
Let v(y) be the first derivative of -6*y**3 + 9*y**2 - 87 - 14*y**2 + 7*y**2 - 2*y**3. Factor v(a).
-4*a*(6*a - 1)
What is w in -1/4*w**2 + 285/4 - w = 0?
-19, 15
Let i(r) be the third derivative of 2*r + 1/600*r**5 + 0 - 4*r**2 + 13/240*r**4 + 0*r**3. Determine s, given that i(s) = 0.
-13, 0
Let b be (-246)/(-1 - 2) - -2. Suppose -b = 2*y - 90. Factor 51*h**2 - 94*h**2 - 3*h**4 + 3*h + 44*h**2 + 2*h**4 - 3*h**y.
-h*(h - 1)*(h + 1)*(h + 3)
Let w(s) be the third derivative of s**7/210 - s**6/120 - s**5/2 + 796*s**2. Let w(l) = 0. Calculate l.
-5, 0, 6
Let d = 1202 - 1198. Let m(n) be the first derivative of 1/20*n**d + 2 + 0*n**3 - 2/5*n - 3/10*n**2. Factor m(g).
(g - 2)*(g + 1)**2/5
Determine c so that -3666 + 2*c**2 - 143*c + 2*c**2 - 196*c + 4332 - c**2 = 0.
2, 111
Let w(i) = i**2 + 10*i + 19. Let y be w(-4). Let z be 6 - 1*(y - -8). Suppose 0 - 2/5*b + 2*b**z + 8/5*b**2 = 0. Calculate b.
-1, 0, 1/5
Let r(k) be the second derivative of 5/12*k**4 + 0 - 25/6*k**3 + 15*k**2 + 66*k. Find h, given that r(h) = 0.
2, 3
Let l(t) = -57*t**2 + 96*t + 21. Suppose 0 = c + j - 20, 2*j = -2*j - 4. Let g(b) = 11*b**2 - 19*b - 4. Let p(m) = c*g(m) + 4*l(m). Factor p(w).
3*w*(w - 5)
Let r be (-13 - -29)*(-39)/(-468). Factor 0*a - 5/6*a**4 - r*a**3 + 0 - 2/3*a**2 - 1/6*a**5.
-a**2*(a + 1)*(a + 2)**2/6
Let q(z) be the first derivative of -2*z**5/5 + 11*z**4 - 70*z**3 + 148*z**2 - 128*z + 2340. Determine i, given that q(i) = 0.
1, 4, 16
Let d(s) be the third derivative of -s**6/120 - 23*s**5/60 + s**3/2 - 112*s**2. Let p be d(-23). Factor -55/6*q + 10*q**2 + 5/3 + 15/2*