 ((-560)/24)/(-14). Let 4/3*s**2 - 44/9*s + j - 4/9*s**4 + 4/3*s**3 = 0. What is s?
-2, 1, 3
Let x = -371836 - -371839. Factor 18/11*t**x - 50/11*t + 0 - 2/11*t**4 - 30/11*t**2.
-2*t*(t - 5)**2*(t + 1)/11
Let p(h) = 5*h**2 + 9632*h - 9577*h - 45 + 0*h**2. Let r(l) = -5*l**2 - 53*l + 46. Let t(d) = 4*p(d) + 5*r(d). Suppose t(y) = 0. What is y?
-10, 1
Let a = 22 - 40. Let m(k) = -k**3 - 20*k**2 - 37*k - 15. Let s be m(a). Suppose 0*x**3 - 16*x + 15 + x**4 - x**5 + 9*x**s - 5*x**2 - 3 = 0. Calculate x.
-2, 1, 3
Let w = 409/114 + 11/19. Let o(g) be the second derivative of -7/4*g**5 - 1/3*g**6 + 0 - w*g**3 + 19*g - 5/2*g**2 - 15/4*g**4. Suppose o(l) = 0. Calculate l.
-1, -1/2
Factor 1800 + 4*n**2 - n**2 - 263*n + 668*n - 258*n.
3*(n + 24)*(n + 25)
Let x be ((-24)/(-16))/(3/5)*25/125. Suppose -x*g**3 + 3/2*g + 0 - g**2 = 0. Calculate g.
-3, 0, 1
Let m(p) be the first derivative of -9/8*p**4 - 1/4*p**6 + 0*p + 0*p**2 + 38 + 1/2*p**3 + 9/10*p**5. Factor m(j).
-3*j**2*(j - 1)**3/2
Let x be (-3 - (-15)/6)*-12. Factor 10*g**3 - 15*g - 3 + 2*g**3 - 9*g**3 + 2 - x*g**2 + 19.
3*(g - 3)*(g - 1)*(g + 2)
Let m be 27/((4 + -3)/(-1)). Let h = 32 + m. Suppose -3*u**h - 17*u**3 - 9*u**3 + 29*u**3 = 0. What is u?
-1, 0, 1
Let i(r) be the third derivative of -r**5/12 + 310*r**4/3 - 1308*r**2. Let i(u) = 0. Calculate u.
0, 496
Suppose -27*w - 24*w + 212 = 2*w. Solve 7/4*k**3 + 1/2*k**2 - 1/4*k + 0 + k**w = 0 for k.
-1, 0, 1/4
Factor -7824984/5*d + 6852/5*d**2 + 2978710576/5 - 2/5*d**3.
-2*(d - 1142)**3/5
Suppose 0 = -5*o + 8*o + 18. Let n be (-1)/(-2)*(o + 10). Solve 2*y**n - 21 + 21 - y**2 - y**3 = 0.
0, 1
Let o(c) be the first derivative of 5/2*c**3 - 108 + 7/8*c**4 + 2*c + 13/4*c**2 + 1/10*c**5. Factor o(r).
(r + 1)**3*(r + 4)/2
Let z = 532 + -512. Factor 2*d + z*d + d**4 + 10*d**3 - 157 + 24*d**2 + 164 + 0*d**4.
(d + 1)**3*(d + 7)
Let -7/5*k + 11/5*k**3 + 27/5*k**4 + 0 - 27/5*k**2 - 4/5*k**5 = 0. Calculate k.
-1, -1/4, 0, 1, 7
Let p(q) be the first derivative of -246 + 3/2*q**4 + 14/3*q**3 - 6*q**2 - 6/5*q**5 + 0*q - 1/3*q**6. Suppose p(z) = 0. Calculate z.
-3, -2, 0, 1
Let v(u) = 2*u**4 + 21*u**3 - 108*u**2 + 247*u - 141. Let b(r) = r**4 + 20*r**3 - 107*r**2 + 242*r - 142. Let h(i) = 3*b(i) - 2*v(i). Solve h(n) = 0.
1, 4, 9
Factor -5*h**2 + 58*h - 80*h + 30*h + 22*h + 210 + 25*h.
-5*(h - 14)*(h + 3)
Let l(w) be the second derivative of -3*w**5/20 + 39*w**4/4 + 161*w**3 - 2927*w. Factor l(r).
-3*r*(r - 46)*(r + 7)
Let u be 11/(-22) - 14/(-4). Let i(s) = -30*s**3 - 94*s**2 - 84*s - 48. Let f(z) = 6*z**3 + 19*z**2 + 17*z + 10. Let k(q) = u*i(q) + 14*f(q). Factor k(c).
-2*(c + 1)**2*(3*c + 2)
Let c(g) = 14*g**2 + 3*g - 2. Let a be c(-2). Find z such that 411*z**3 - 822*z**3 + 407*z**3 - 44*z + a*z**2 = 0.
0, 1, 11
Solve -1/3*v**2 - 140 + 43/3*v = 0.
15, 28
Let u(f) be the third derivative of -f**6/40 - 51*f**5/10 - 675*f**4/2 - 2500*f**3 + 1858*f**2. Factor u(a).
-3*(a + 2)*(a + 50)**2
Suppose 1/3*r**5 - 26/3*r**3 + 27*r + 0*r**2 + 18 + 2/3*r**4 = 0. Calculate r.
-6, -1, 3
Let l(g) = 9*g**2 - 47*g - 270. Let m(z) = 3*z**2 - 15*z - 90. Let j = 150 + -147. Let a(w) = j*l(w) - 8*m(w). Determine v, given that a(v) = 0.
-3, 10
Factor -s**3 - 260*s**2 - 3*s**3 + 60*s**2 - 67*s + 6*s**3 - 135*s.
2*s*(s - 101)*(s + 1)
Suppose 7*y + 31 - 570 = 0. Suppose 4*a**4 + 6*a - 6*a**3 - 105 - 10*a**3 - 72*a**2 + y - 86*a = 0. Calculate a.
-1, 7
Factor -1712 - 309*x**2 + 1/4*x**4 + 1268*x + 95/4*x**3.
(x - 4)**3*(x + 107)/4
Let z(m) be the second derivative of -121*m**5/40 - 627*m**4/8 - 306*m**3 + 7803*m**2 - 65*m + 3. Factor z(q).
-(q - 3)*(11*q + 102)**2/2
Let v(t) be the third derivative of -4096/9*t**3 + 4/315*t**7 + 0*t - 32/45*t**5 + 1/504*t**8 + 512/9*t**4 - 32*t**2 - 4/9*t**6 - 2. Solve v(b) = 0 for b.
-8, 4
Let w be 765/27 + ((-30)/9 - -3). Suppose 21 = w*c - 63. Let 2/13*r**4 - 6/13*r + 6/13*r**c - 4/13 + 2/13*r**2 = 0. Calculate r.
-2, -1, 1
Let 4/7*a**4 + 0*a - 68/7*a**3 + 0*a**2 + 0 = 0. Calculate a.
0, 17
Factor -74/3*t**3 + 112/3*t**2 + 32*t + 0 + 10/3*t**4.
2*t*(t - 4)**2*(5*t + 3)/3
Let f(z) be the first derivative of z**5 + 15*z**4/4 - 25*z**3 + 85*z**2/2 - 30*z + 1278. Factor f(w).
5*(w - 1)**3*(w + 6)
Factor 174/13*t - 172/13 - 2/13*t**2.
-2*(t - 86)*(t - 1)/13
Find y, given that -89*y**4 - 269*y**5 + 610*y**2 + 724*y**4 + 259*y**5 - 637*y**3 - 898*y**3 = 0.
0, 1/2, 2, 61
Let 2*c**3 + 235224 + 1198*c**2 - 4*c**2 + c**3 - 3610606*c + 3730594*c = 0. Calculate c.
-198, -2
Let m be 180 - (-4 + 36/4). Factor 6*g + m*g**2 - 351*g**2 + 173*g**2 - 3*g**3.
-3*g*(g - 1)*(g + 2)
Suppose -243 = 5*a + 3*i + 824, -i + 429 = -2*a. Let m = a - -216. Determine t, given that -2/5 + 2/15*t**m - 4/15*t = 0.
-1, 3
Let -1/2*t**4 + 0 + 38*t**3 - 75*t - 73/2*t**2 = 0. What is t?
-1, 0, 2, 75
Let r be -1*((-522)/(-6))/(-3). Factor 55*s - 8*s**2 - 23*s**2 - r*s**2 + 5*s**3.
5*s*(s - 11)*(s - 1)
Let i = -628 + 631. Find x, given that 113*x - 2*x**i - 20*x - 38*x**2 - 53*x = 0.
-20, 0, 1
Let q(d) be the second derivative of -d**4/6 + 23*d**3/3 - 22*d**2 + 1800*d. Let q(f) = 0. Calculate f.
1, 22
Let n be 2/45*5/(-100)*5*-21. Let g(w) be the first derivative of 4/3*w**2 + 2/3*w + 8 + n*w**5 + 1/36*w**6 + 25/18*w**3 + 19/24*w**4. Factor g(k).
(k + 1)**3*(k + 2)**2/6
Suppose 752/7 + 2/7*h**3 - 744/7*h + 180/7*h**2 = 0. Calculate h.
-94, 2
Factor 2025*p + 810*p**2 + 63*p**3 - 30375/2 + 3/2*p**4.
3*(p - 3)*(p + 15)**3/2
Suppose 2*f = -4*v + 1042, -5*f - 10*v + 2637 = -8*v. Let q = f - 526. Factor 0*p**2 + 0 + 1/8*p**q - 1/8*p.
p*(p - 1)*(p + 1)/8
Let u(r) be the second derivative of r**5/20 + 7*r**4/4 - 12*r**3 + 2*r - 990. Let u(p) = 0. Calculate p.
-24, 0, 3
Let j(v) be the first derivative of 3*v**4/4 + 58*v**3/3 + 163*v**2/2 + 48*v + 1319. Factor j(n).
(n + 3)*(n + 16)*(3*n + 1)
Suppose 524/9*p - 2/9*p**2 - 58 = 0. Calculate p.
1, 261
Let n be (-1984)/(-14976) - 2/26. Let y(u) be the second derivative of 0 + 3*u - n*u**3 - 2/3*u**2 + 1/60*u**5 + 1/9*u**4. Let y(q) = 0. Calculate q.
-4, -1, 1
Let d(p) = p**2 + 11*p - 21. Let u be d(-13). Determine h, given that 7*h**5 - 4*h**4 - 29*h**3 + h**5 - 4*h**u + 5*h**3 = 0.
-2, 0, 3
Determine x so that 288/5 - 36/5*x**4 + 4/5*x**5 - 408/5*x + 68/5*x**2 + 84/5*x**3 = 0.
-2, 1, 3, 4
Let z be (-8)/(-12) - (-4)/3. Suppose 3*h = -5*a + 6, -250 + 254 = a + 2*h. What is u in -5/4*u**3 - 13/4*u**z + 3/2*u + a = 0?
-3, 0, 2/5
What is d in -1468/3*d - 269378/3 - 2/3*d**2 = 0?
-367
Let p be 1/(-3) - (-3 + (-490)/21). Find z, given that 4 + p*z**2 - 47*z**2 + 17*z**2 = 0.
-1, 1
Let x = -4710 + 4713. Let l(d) be the second derivative of 0*d**x - 8/7*d**2 + 1/21*d**4 + 0 - 10*d. Factor l(k).
4*(k - 2)*(k + 2)/7
Let o(j) be the first derivative of j**6/10 + 78*j**5/5 + 5937*j**4/10 - 17288*j**3/5 + 66531*j**2/10 - 26934*j/5 - 1279. Suppose o(h) = 0. Calculate h.
-67, 1, 2
Let a(p) be the first derivative of p**6/2 - 57*p**5 + 819*p**4/2 - 1076*p**3 + 1068*p**2 - 14373. Solve a(l) = 0.
0, 2, 89
Let v(a) be the second derivative of a**4/34 - 13*a**3/51 - 10*a**2/17 + 2*a + 1152. Factor v(w).
2*(w - 5)*(3*w + 2)/17
Let r be (-5)/(-2) - ((-966)/28)/(-69). Factor -10/3*s - r + 2/3*s**3 - 2/3*s**2.
2*(s - 3)*(s + 1)**2/3
Let c be 576/40 + (2 - 12/5). Suppose 18 = -8*f + c*f. Solve -f*q**2 - 27 - 35*q + 46*q - 29*q = 0.
-3
Let j(w) be the first derivative of -24*w - 2*w**2 - 117 + 4/3*w**3. Suppose j(p) = 0. Calculate p.
-2, 3
Let o(x) be the second derivative of 125*x**7/42 + 105*x**6 - 879*x**5 + 3130*x**4/3 - 400*x**3 - 11301*x. Solve o(s) = 0 for s.
-30, 0, 2/5, 4
Let j(c) be the third derivative of c**5/180 + c**4/6 + 11*c**3/18 + 935*c**2. Solve j(g) = 0 for g.
-11, -1
Let 17*p**4 - 471*p - 172*p**2 - 20*p**4 - 186 - 105*p**3 + 39*p**2 - 254*p**2 = 0. Calculate p.
-31, -2, -1
Factor 1/6*r**2 + 0*r - 2/3.
(r - 2)*(r + 2)/6
Let j be (290515/(-164725) - 2/(-20)*-2*-7)/(-2). Factor -j*k**4 + 30/11*k**2 + 16/11*k + 12/11*k**3 + 0.
-2*k*(k - 8)*(k + 1)**2/11
Let i(r) = -2*r**4 - 15*r**2 + 81. Let h be (15/(-60))/((-1)/20). Let p(x) = 3*x**4 + 31*x**2 - 162. Let b(d) = h*i(d) + 3*p(d). Factor b(f).
-(f - 3)**2*(f + 3)**2
Let o(s) be the third derivative of -s**5/15 - 3*s**4 - 130*s**3/3 + 440*s**2. Factor o(q).
-4*(q + 5)*(q + 13)
Let f(u) be the second derivative of 