 = -q**3 + q**2 - q - 1. Let r(x) = 2*x**3 + 2*x**2 + 4. Suppose -474 = h - 470. Let l(w) = h*o(w) - r(w). What is m in l(m) = 0?
0, 1, 2
Suppose 2*m = -2*i + 7*m + 15, -4*i - 2*m + 18 = 0. Suppose 4*s + 18 = 3*f, 4*f - i*s = 8 + 16. Factor -4*g**2 + 4 - f + 6.
-4*(g - 1)*(g + 1)
Let n = -225948 + 225950. Factor 1/3*b**2 + 8/3 + n*b.
(b + 2)*(b + 4)/3
Find p, given that -44/3*p**2 - 167/3*p**3 - 4/3*p - 253/3*p**4 - 42*p**5 + 0 = 0.
-1, -1/2, -2/7, -2/9, 0
Let w(f) = -13*f**2 + 223*f + 633. Let z(c) = -34*c**2 + 668*c + 1902. Let v(h) = -8*w(h) + 3*z(h). Factor v(b).
2*(b + 3)*(b + 107)
Suppose 0 = -k - 20 + 98. Suppose 76*v - 10 - 3*v**4 - 15 + 2*v**4 + 28*v**3 - k*v**2 = 0. Calculate v.
1, 25
Let d be 72/(-156) - (447/(-39) + 5). Let c(h) be the second derivative of 2*h**3 + 13/12*h**4 + 1/30*h**d + 0 - 26*h + 2*h**2 + 3/10*h**5. Solve c(j) = 0.
-2, -1
Let d(j) be the first derivative of 4*j**5/5 - 31*j**4 - 92*j**3 + 198*j**2 + 531. Determine b, given that d(b) = 0.
-3, 0, 1, 33
Let b(a) be the third derivative of -a**9/30240 + a**8/1120 - a**7/315 - 3*a**5/20 - 7*a**3/3 - 126*a**2. Let t(n) be the third derivative of b(n). Factor t(g).
-2*g*(g - 8)*(g - 1)
Let h = 43/56 - 1/56. Let u = 18830/19 + -150583/152. Factor u*w**2 - 9/8 + h*w.
3*(w - 1)*(w + 3)/8
Let f(k) be the second derivative of 0 + 1/14*k**4 + 3*k + 0*k**2 + 0*k**5 + 2/21*k**3 - 1/105*k**6. Factor f(y).
-2*y*(y - 2)*(y + 1)**2/7
Let y = -1422479/7 + 203217. Factor -y - 2/7*u**3 + 78/7*u - 36/7*u**2.
-2*(u - 1)**2*(u + 20)/7
Let o(y) = 2*y**2 + 3*y. Let f be o(-2). Suppose -106*j = 7 - 431. Determine b so that 6*b + 2*b**f + j - 6 - 6 = 0.
-4, 1
Let v(j) = -8*j**3 + 61*j**2 + 824*j + 317. Let k(t) = 15*t**3 - 121*t**2 - 1648*t - 635. Let w(u) = -3*k(u) - 5*v(u). Factor w(h).
-(h - 20)*(h + 8)*(5*h + 2)
Let d(m) be the second derivative of m**4/96 - 17*m**3/48 + m**2 + 97*m - 1. Determine u, given that d(u) = 0.
1, 16
Let c(u) be the third derivative of u**8/20160 + u**7/2520 - u**6/2160 - u**5/120 + 37*u**4/4 + 60*u**2. Let z(l) be the second derivative of c(l). Factor z(w).
(w - 1)*(w + 1)*(w + 3)/3
Let c = 114/7285 + 50653/21855. Determine r so that -1/2*r**3 + 4/3 + c*r**2 - 10/3*r = 0.
2/3, 2
Let h be (-7)/(-28) - (-36)/(-16). Let x be 3245/5775 + 56/30 + h. Find o, given that x*o**3 + 12/7*o**2 + 12/7*o + 0 = 0.
-2, 0
Let j = 10559 - 10559. Let i(x) be the first derivative of 0*x**2 + 0*x**3 + 2*x**4 + 4/5*x**5 + 19 + j*x. Let i(l) = 0. Calculate l.
-2, 0
Let n(a) be the third derivative of -a**7/840 + a**6/15 - 8*a**5/5 + 64*a**4/3 - 14*a**3/3 - 58*a**2 - a. Let s(x) be the first derivative of n(x). Factor s(k).
-(k - 8)**3
Factor 7155625/6 + 1/6*r**2 - 2675/3*r.
(r - 2675)**2/6
Let j be 2145/660 - 152/(-32). Factor 18/5*v**2 + j + 2/5*v**3 + 48/5*v.
2*(v + 2)**2*(v + 5)/5
Let p be (115180/(-5759))/((14/(-4) - -2)*2). Factor 0 + 1/3*s**2 - p*s + 1/3*s**3.
s*(s - 4)*(s + 5)/3
Let v(f) be the first derivative of 0*f**3 + 1/16*f**4 + 0*f - 1/20*f**5 + 0*f**2 + 120. Factor v(r).
-r**3*(r - 1)/4
Let j(n) be the second derivative of 0*n**2 - 1/100*n**5 + 0 - 1/5*n**3 + 1/12*n**4 - 133*n. Factor j(k).
-k*(k - 3)*(k - 2)/5
Factor 1271 - 5*q**3 + 1315*q**2 - 12272 + 2092 + 32186 + 62528 - 87115*q.
-5*(q - 131)**2*(q - 1)
Factor -142/9*l + 0 - 2/9*l**2.
-2*l*(l + 71)/9
Let q(k) = k**3 + 8*k**2 - 10*k + 1. Let m be q(-9). Suppose 5*i = m*i - 15. Solve -43*g**4 - 45*g**4 + 89*g**4 - 5*g**i + 4*g**2 = 0 for g.
0, 1, 4
Let i = -510 + 513. Factor 90*n**2 - 5*n**4 - i*n**3 + 8*n**3 + 891 - 265*n - 691 + 5*n.
-5*(n - 2)**3*(n + 5)
Suppose -3*b - 4*a + 4 = 2, -4*b = 3*a - 5. Let y be (-24 + 22)*(1 - b). Factor -24*f**y + f**4 - 21*f - 9 + 5*f**4 - 6*f**3 + 3 + 3*f**5.
3*(f - 2)*(f + 1)**4
Let h(n) be the first derivative of 2/5*n**5 + 2*n**4 - 8*n**3 - 117 + 0*n**2 + 0*n. Let h(c) = 0. What is c?
-6, 0, 2
Let x = -270 + 274. Factor 17*h - 4*h - 31*h + x*h**3 - 26*h - 40*h**2.
4*h*(h - 11)*(h + 1)
Let z(d) be the third derivative of d**7/168 - 5*d**6/96 - 7*d**5/12 + 5*d**4/3 + 214*d**2. Let z(t) = 0. What is t?
-4, 0, 1, 8
Let l(d) be the third derivative of -d**5/100 - 621*d**4/40 + 311*d**3/5 - 417*d**2. Factor l(y).
-3*(y - 1)*(y + 622)/5
Let c(r) be the second derivative of -1/24*r**3 - 9*r - 1/16*r**4 + 2 + 0*r**2. Factor c(g).
-g*(3*g + 1)/4
Determine o, given that 1779*o + 382*o**2 + 738*o**2 + 662*o**2 - 3 = 0.
-1, 1/594
Factor -80*u**3 + 6*u**5 + 240*u - 80*u**2 + 44*u**4 + 74*u**4 - 98*u**4 - u**5.
5*u*(u - 2)**2*(u + 2)*(u + 6)
Let a(l) be the second derivative of 5*l**7/42 + 5*l**6/2 - 2*l**5 - 50*l**4 + 40*l**3/3 + 600*l**2 - 10213*l. Let a(n) = 0. What is n?
-15, -2, 2
Let j(i) be the third derivative of -2*i**7/105 - 26*i**6/5 - 2129*i**5/5 - 11780*i**4/3 - 11552*i**3 - 2922*i**2. Factor j(y).
-4*(y + 1)*(y + 3)*(y + 76)**2
Let a = 2209362 - 2209358. Suppose 0 - 1/3*z**5 + 13/3*z**3 + 2/3*z**a + 10/3*z**2 + 0*z = 0. Calculate z.
-2, -1, 0, 5
Let v(b) = -b**3 - 27*b**2 - 52*b - 40. Let a be v(-25). Let x be (-4)/((-250)/20 + a). Factor 2/5*g**2 - 6/5*g - x.
2*(g - 4)*(g + 1)/5
Suppose 4 = -5*d - k + 10, 5*k = -20. Factor 31*p - 4*p**d + 24*p + 64*p - 195*p.
-4*p*(p + 19)
Let d(f) = f**2 - 107*f + 2. Let c(z) = 2*z**2 - 257*z + 5. Let t(j) = 4*c(j) - 10*d(j). Determine i, given that t(i) = 0.
0, 21
Let p(x) = -x**2 + 13*x - 37. Let c = -399 + 404. Let h be p(c). Let 36/13 - 6/13*a + 2/13*a**h - 8/13*a**2 = 0. What is a?
-2, 3
Let i(b) be the third derivative of b**8/672 + 11*b**7/420 - b**6/4 + 2*b**5/15 + 14*b**4/3 - 20*b**3 + 8596*b**2. Determine a, given that i(a) = 0.
-15, -2, 2
Let 2*l**3 + 0 - 10/7*l**4 - 6/7*l**2 + 2/7*l**5 + 0*l = 0. What is l?
0, 1, 3
Let p(z) be the second derivative of 9*z**5/130 - 25*z**4/26 + 88*z**3/39 - 28*z**2/13 - z - 770. What is n in p(n) = 0?
2/3, 7
Let x(s) be the second derivative of 1083*s**5/20 + 38*s**4 + 8*s**3 - 3280*s. Factor x(w).
3*w*(19*w + 4)**2
Let d be ((-918)/3825)/((-8)/20). Factor d*l**2 + 21/5 - 24/5*l.
3*(l - 7)*(l - 1)/5
Determine m, given that 47*m**3 + 1939*m**4 + 128*m**2 - 256*m**3 + 84*m**2 - 1940*m**4 + 420*m = 0.
-210, -1, 0, 2
Let l be (2/3)/((128/84)/16). Factor j**2 + l - j**2 + 7 + 1 + 3*j**2 + 18*j.
3*(j + 1)*(j + 5)
Let u be ((-1)/((-6)/4))/(35/105). Let -122*b - 105*b + 380*b + 72 - 123*b + 2*b**u = 0. What is b?
-12, -3
Let x(b) be the second derivative of b**6/24 - 7*b**5/12 + 55*b**4/24 - 25*b**3/6 - 63*b**2/2 + 57*b. Let p(a) be the first derivative of x(a). Factor p(c).
5*(c - 5)*(c - 1)**2
Suppose 7*q + 429 = 233. Let d = 169/6 + q. Let 1/6*r**4 - 1/2*r**3 - d*r + 0 + 1/2*r**2 = 0. Calculate r.
0, 1
Let f be 2 - (2 - 741/(-1)). Let t = 371 - f. Factor 5*x**3 + 0*x**3 - 1105*x**2 + t*x**2 - 2*x**3 + 2*x.
x*(x + 2)*(3*x + 1)
Let z(w) be the first derivative of w**4/2 - 74*w**3 + 3240*w**2 - 17496*w + 1045. Solve z(c) = 0.
3, 54
Let f(j) = j**2 - j - 2. Let v(y) = -y**2 + 2*y + 1. Let a(q) = -3. Let s(l) = a(l) - 2*v(l). Let m(i) = -5*f(i) + 2*s(i). Factor m(p).
-p*(p + 3)
Determine q so that 2/3*q**4 - 134/3*q + 80/3 + 22/3*q**3 + 10*q**2 = 0.
-8, -5, 1
Let y(t) be the second derivative of t**5/40 + t**4/48 - 5*t**3/6 + 53*t**2 + 62*t. Let d(z) be the first derivative of y(z). Factor d(r).
(r + 2)*(3*r - 5)/2
Let p(a) = -3*a**2 + 1706*a + 44530. Let k be p(-25). Factor 16*z - 16/3*z**3 - 64/3 + 16/3*z**2 + 1/3*z**k + 0*z**4.
(z - 2)**3*(z + 2)*(z + 4)/3
Let n be 6 + -4 + 10/(-3) - (5 - 205/30). Determine s so that -2 - n*s + 1/4*s**2 = 0.
-2, 4
Let g(q) be the first derivative of -4*q**5/35 + 10*q**4/7 + 16*q**3 - 364*q**2 + 2156*q + 467. Determine z so that g(z) = 0.
-11, 7
Let v(p) be the second derivative of 10*p**7/7 + 184*p**6/15 - 497*p**5/5 + 778*p**4/3 - 1016*p**3/3 + 240*p**2 - 25*p + 81. Let v(x) = 0. What is x?
-10, 2/3, 1, 6/5
Let u = 227 + -77. Let s be u/45 - (5/(-3) - -2). Factor 2*v + 10*v - 4*v**2 - s*v**3 - 14*v + v**3.
-2*v*(v + 1)**2
Suppose 5*v + 5*d = -0*d - 460, 4*v + d = -356. Let r = -87 - v. Factor 2*j - r - 5/4*j**3 + 7/4*j**2.
-(j - 2)*(j + 1)*(5*j - 2)/4
Let a = -17361 + 17361. Let x(o) be the second derivative of 0*o**2 + 1/26*o**5 - 1/26*o**4 - 6*o - 1/195*o**6 + 0 + a*o**3 - 1/273*o**7. Factor x(m).
-2*m**2*(m - 1)**2*(m + 3)/13
Factor 203*m**2 - 8*m**2 + 3505*m**4 