Suppose 0 = 13*b - 16*b - 3*j, 4*b - 16 = 4*j. Determine i so that 16/9*i**3 - 16/9*i + 4/9*i**b - 4/9 = 0.
-1, -1/4, 1
Suppose -19*v + 10*v + 36 = 0. Find o, given that 64*o + 353*o**3 - 304*o**2 - 29*o**3 - 4*o**3 + 61*o**v + 39*o**4 = 0.
-4, 0, 2/5
Let l(f) be the second derivative of 3*f - 1/20*f**5 - 1/24*f**4 + 0*f**2 + 0 + 1/60*f**6 + 1/6*f**3. Factor l(w).
w*(w - 2)*(w - 1)*(w + 1)/2
Let v = 155 - 148. Let c(h) be the second derivative of 0*h**4 - 4*h + 1/168*h**v + 1/80*h**5 + 0*h**3 - 1/60*h**6 + 0 + 0*h**2. Solve c(f) = 0 for f.
0, 1
Let t(i) be the third derivative of i**8/1848 - i**7/165 + 3*i**6/220 + 19*i**5/330 - i**4/6 - 8*i**3/11 - 161*i**2. Determine v, given that t(v) = 0.
-1, 2, 3, 4
Let c(x) be the third derivative of x**8/2688 + x**7/840 - x**6/240 - x**5/240 + x**4/64 - 36*x**2. Factor c(h).
h*(h - 1)**2*(h + 1)*(h + 3)/8
Let t(r) = -8*r**2 + r - 7. Let o(p) = -7*p**2 + p - 6. Let k(x) = -7*o(x) + 6*t(x). Let d(j) = j**2 - 4*j. Let l(m) = d(m) - 4*k(m). Factor l(w).
-3*w**2
Let s(o) = 8*o**3 - 18*o**2 + 9*o - 32. Let x(y) = -4*y**3 + 8*y**2 - 2*y + 16. Let j(m) = -6*s(m) - 11*x(m). Let j(w) = 0. Calculate w.
1, 2
Let z be 3/6 + 5 + (-35)/14. Let g(w) be the first derivative of 343/6*w**4 + 1 - 56/3*w**2 - 8*w + 98/9*w**z. What is a in g(a) = 0?
-2/7, 3/7
Suppose 24 = -0*b + 3*b. Suppose 2 + 2 = z. Factor -5*k**4 + 10*k**3 - b*k**3 + 2*k**4 + k**4 + z*k**2.
-2*k**2*(k - 2)*(k + 1)
Let o(w) be the third derivative of -9/224*w**8 + 11/140*w**7 + 0*w + 0*w**3 + 0*w**4 + 2*w**2 + 0 + 0*w**5 - 1/40*w**6. Find m such that o(m) = 0.
0, 2/9, 1
Suppose -4*v - 12 = -8*v. Suppose 5*y + 17 = 3*d, 0*d + 3*y = -v*d + 9. Factor 28*u**2 - 3 - 28*u**2 + 3*u**d + 6*u**3 - 6*u.
3*(u - 1)*(u + 1)**3
Factor -288*q**2 + 353 + 343 - 608 + 28*q**3 - 228*q.
4*(q - 11)*(q + 1)*(7*q - 2)
Let l(a) be the third derivative of -1/280*a**6 + 0*a**4 - 2/245*a**7 + 0*a**3 + 6*a**2 + 1/70*a**5 + 0*a + 3/784*a**8 + 0. Factor l(j).
3*j**2*(j - 1)**2*(3*j + 2)/7
Let c be ((-18)/(-3))/6*48. Suppose -20*n + c = -8*n. Factor -1/2*k - 1/2*k**n - 1 + 3/2*k**2 + 1/2*k**3.
-(k - 2)*(k - 1)*(k + 1)**2/2
Let b(l) be the second derivative of l**8/4200 - l**7/525 + l**6/180 - l**5/150 + 5*l**3/6 + 10*l. Let y(n) be the second derivative of b(n). Solve y(q) = 0.
0, 1, 2
What is q in -3*q**3 + 0 + 51/4*q**2 - 27/2*q = 0?
0, 2, 9/4
Let c(u) be the second derivative of u**4/12 + u**3 + 5*u**2/2 - u - 3. Suppose c(g) = 0. What is g?
-5, -1
Let x(w) be the third derivative of -w**7/840 + w**6/120 - w**5/60 + 15*w**3/2 - 39*w**2. Let h(i) be the first derivative of x(i). Factor h(c).
-c*(c - 2)*(c - 1)
Let f be 12/(-15) + (-44)/(-5). Let t be 18/(1 - 1 - -1). Find j such that 0 + 48*j**2 + t*j**4 + 27*j + f*j**3 + 6 + 3*j**5 + 34*j**3 = 0.
-2, -1
Let b = 77 - 72. Suppose b*h - 16 = -6. Solve 7/4*s**h + 1/4 - 2*s**4 - 23/4*s**3 + 7/4*s + 4*s**5 = 0.
-1, -1/4, 1
Find h such that 0 - 4/13*h**3 - 2/13*h**4 + 14/13*h**2 - 8/13*h = 0.
-4, 0, 1
Let -10*r - 91/9 + 1/9*r**2 = 0. Calculate r.
-1, 91
Let n(s) = -s**3 - 9*s**2 + 6. Let a be n(-9). Let b(p) be the first derivative of -3/8*p**2 + 1/4*p - 1/16*p**4 - a + 1/4*p**3. Find k, given that b(k) = 0.
1
Let g = 21 - 102/5. Let i(b) be the first derivative of -b**3 - 2/3*b**6 + g*b**5 - 5 + 5/4*b**4 + 0*b - 1/2*b**2. What is z in i(z) = 0?
-1, -1/4, 0, 1
Let y(x) = -5*x + 6. Let h be y(6). Let t = h + 26. Factor 280 - 4*q - 8*q**t - 4*q**3 - 280.
-4*q*(q + 1)**2
Let u = -1 - -6. Suppose o - 3*j = 15, -u*j + 10*j = 4*o - 32. Factor 7*c - 5*c - 3 + c - 3*c**3 + o*c**2.
-3*(c - 1)**2*(c + 1)
Let v(h) = h**2 - 4*h**3 + 1 - 10*h + 3*h**3 + 9*h. Let m(c) = -4*c**2 + 7*c - 3. Let t(x) = -5*m(x) + 5*v(x). Factor t(o).
-5*(o - 2)**2*(o - 1)
Suppose 2*b + 0*b - 19 = -3*s, s - 11 = -3*b. Suppose -4*d**b + 5 - 5*d**3 - 12*d + 5*d - 8*d + 19*d**2 = 0. What is d?
1
Let c(y) be the second derivative of -y**4/18 - 4*y - 14. Factor c(z).
-2*z**2/3
Let p(q) = 3*q**2. Let w be p(3). Let f = w + -25. Let 9 + r**f + 2*r + 5 - 16 + r**2 - 2*r**3 = 0. What is r?
-1, 1
Let l = 5472 - 5452. Factor -10*p**3 - 15/8*p**4 - l*p**2 + 0*p - 1/8*p**5 + 32.
-(p - 1)*(p + 4)**4/8
Let h(a) be the first derivative of -1/16*a**2 - 1/32*a**4 - 3/4*a + 1/6*a**3 - 2. Factor h(p).
-(p - 3)*(p - 2)*(p + 1)/8
Find o, given that 0 - 80/3*o + 5/3*o**2 = 0.
0, 16
Factor -38 + 1/4*r**4 + 13/4*r**3 - 51/2*r**2 + 55*r.
(r - 2)**3*(r + 19)/4
Let s(m) be the first derivative of 4*m**5/45 + 53*m**4/18 + 728*m**3/27 + 169*m**2/9 + 323. Factor s(n).
2*n*(n + 13)**2*(2*n + 1)/9
Suppose 23*t - 18*t - 50 = 0. Suppose -4*m**5 + 3*m**4 + 13*m**4 + t*m**3 + 6*m**3 - 16*m**2 - 12*m**4 = 0. Calculate m.
-2, 0, 1, 2
Factor 4*d**2 - 8*d**2 + 3*d**3 - d**3 + 2*d.
2*d*(d - 1)**2
Let t(w) be the third derivative of w**6/360 - 29*w**5/180 + 49*w**4/24 - 23*w**3/2 + 92*w**2. Suppose t(n) = 0. Calculate n.
3, 23
Let t(z) = 5*z**5 - 18*z**4 + z**3 + 83*z**2 - 93*z + 13. Let u(g) = 10*g**5 - 35*g**4 + g**3 + 167*g**2 - 185*g + 25. Let w(j) = 14*t(j) - 6*u(j). Factor w(h).
2*(h - 2)**3*(h + 2)*(5*h - 1)
Factor -42/5*u - 2/5*u**3 + 16/5*u**2 + 36/5.
-2*(u - 3)**2*(u - 2)/5
Let g = -524 - -526. Let b(j) be the first derivative of -4 - 2*j**3 + 0*j + 9/4*j**4 + 1/2*j**g - 4/5*j**5. Factor b(k).
-k*(k - 1)**2*(4*k - 1)
Let h(z) be the third derivative of 0*z**3 + 1/15*z**5 + 0 - 1/3*z**4 + 0*z - 22*z**2 - 1/210*z**7 + 1/60*z**6. Solve h(c) = 0 for c.
-2, 0, 2
Let m = 452/3615 - -2/241. Let x(h) be the first derivative of 1/2*h**4 - 6 + 0*h**3 + m*h**5 + 0*h - 4/3*h**2. Factor x(q).
2*q*(q - 1)*(q + 2)**2/3
Let j(r) = 950*r - 5698. Let n be j(6). Factor -7*p + 49 + 1/4*p**n.
(p - 14)**2/4
Let u be (1/2)/(2/40). Find y such that 12*y**3 + 5*y**4 + u*y - 22*y**3 + 0*y - 5 = 0.
-1, 1
Let w(l) = 3*l**3 - 29*l**2 + 29*l - 17. Let y(o) = 1 + 2*o**2 - 7 + o**3 + 10*o - 12*o**2. Let k(p) = -6*w(p) + 17*y(p). Factor k(m).
-m*(m - 2)**2
Let u(b) be the first derivative of -b**6/42 - 2*b**5/35 + 9*b**4/28 + 22*b**3/21 - 2*b**2/7 - 24*b/7 + 275. Factor u(z).
-(z - 3)*(z - 1)*(z + 2)**3/7
Let f = 18 + -15. Suppose 7 = 2*m - s, -f = -3*m + 2*s + 6. Factor 0*t**2 - 2/11*t**m + 4/11*t**3 + 0*t**4 + 0 - 2/11*t.
-2*t*(t - 1)**2*(t + 1)**2/11
Let z(m) be the second derivative of -3/5*m**2 + 27*m + 0 + 1/5*m**4 + 1/10*m**3 - 9/100*m**5. Factor z(u).
-3*(u - 1)**2*(3*u + 2)/5
Let p = -338 + 338. Let w(t) be the second derivative of 0*t**3 + p - 1/4*t**4 + 0*t**2 - 2*t - 3/20*t**5. Factor w(m).
-3*m**2*(m + 1)
Let c(u) be the first derivative of 0*u - 1/30*u**3 + 1/10*u**2 - 14. Solve c(n) = 0.
0, 2
Let p(c) = 13*c**2 - 229*c - 206. Let s(x) = -6*x**2 + 114*x + 104. Let k(f) = -4*p(f) - 9*s(f). Factor k(o).
2*(o - 56)*(o + 1)
Let v be 3 + (5 - 4 - 10/5). Factor 52*c - 21 - 12*c + 7 + 6*c**v.
2*(c + 7)*(3*c - 1)
Let c(s) = -8*s**2 + 12*s + 8. Let a(f) = -7*f**2 + 10*f + 8. Let n(y) = 4*a(y) - 3*c(y). Solve n(p) = 0.
-1, 2
Suppose 5*q = 2*d + 3 + 1, -3*q + 12 = 2*d. Suppose -d*p = -5 - 1. Determine s so that -s**4 - 3*s**3 - p*s**4 + 0*s**4 + 6*s**2 = 0.
-2, 0, 1
Let a(n) be the third derivative of n**5/330 + 7*n**4/66 - 5*n**3/11 + 60*n**2 + n. Factor a(k).
2*(k - 1)*(k + 15)/11
Let w = 16577 - 82884/5. Suppose 2*f - 6 = -f. Factor w + 1/5*v**f + 2/5*v.
(v + 1)**2/5
Factor 44*t + 25*t**2 - 45*t**2 + 22*t**2 + 882 - 128*t.
2*(t - 21)**2
Let r(d) = -3*d**5 + 5*d**4 - d**3 - 3*d**2 + 2*d - 2. Let v be (-2)/(0 - 2) - 0. Let y(h) = h**5 - h**4 + 1. Let w(c) = v*r(c) + 2*y(c). Solve w(l) = 0 for l.
-1, 0, 1, 2
Suppose -35 = -3*n - 20. Suppose 3 + n = 2*q. Find p, given that 10/3*p**2 - 5/3*p - 10/3*p**q + 5/3*p**3 + 0 = 0.
-1, 0, 1/2, 1
Let u(n) be the first derivative of 3*n**4/2 - 22*n**3/3 + 5*n**2 + 6*n - 290. Determine r so that u(r) = 0.
-1/3, 1, 3
Suppose -14*c - 6 + 34 = 0. Let i(n) be the second derivative of -1/6*n**4 - 2*n**c - 4*n + 0 - n**3. Factor i(x).
-2*(x + 1)*(x + 2)
Let g = -9264 + 9266. Suppose 52/3*t**g + 28*t**3 + 4*t + 16/3*t**5 + 20*t**4 + 0 = 0. Calculate t.
-1, -3/4, 0
Suppose -m = -4*j + 13, 0 = 4*j + 21*m - 16*m - 31. Let c(k) be the first derivative of 0*k - 2/3*k**2 - 4/9*k**3 - 2/15*k**5 + 7 + 7/12*k**j. Factor c(n).
-n*(n - 2)**2*(2*n + 1)/3
Factor 18/5*q + 2/5*q**2 + 36/5.
2*(q + 3)*(q + 6)/5
Let a(o