 + 1)*(3*j + 2)/4
Let z = 20/251 - -864/1757. Factor 12/7*a**2 - 12/7*a + 4/7 - z*a**3.
-4*(a - 1)**3/7
Find r such that -2/11*r**3 + 0 - 38/11*r**2 - 36/11*r = 0.
-18, -1, 0
Let b(x) be the third derivative of -8*x**2 + 0*x - 1/20*x**5 + 1/70*x**7 + 1/20*x**6 + 0*x**3 + 0 - 1/4*x**4. Let b(r) = 0. What is r?
-2, -1, 0, 1
Let f(p) be the first derivative of 8/7*p**2 - 2/35*p**5 + 2/21*p**3 + 8/7*p + 1/21*p**6 - 5/14*p**4 + 16. Factor f(o).
2*(o - 2)**2*(o + 1)**3/7
Let w = -9214/9 + 1024. Solve -2/3 - w*m**2 + 8/9*m = 0 for m.
1, 3
Let z(r) be the second derivative of r**6/72 + 5*r**5/12 + 125*r**4/24 - 5*r**3/3 - 7*r. Let w(h) be the second derivative of z(h). Factor w(o).
5*(o + 5)**2
Let f(a) be the first derivative of -a**3/6 - 21*a**2 - 882*a + 25. Find y, given that f(y) = 0.
-42
Let m(x) be the second derivative of x**7/105 + 28*x**6/75 + 53*x**5/10 + 499*x**4/15 + 1628*x**3/15 + 968*x**2/5 + 3*x + 15. Factor m(i).
2*(i + 2)**3*(i + 11)**2/5
Let a(d) be the second derivative of -d**6/630 - d**5/35 - 5*d**4/42 + 17*d**3/6 - 37*d. Let n(w) be the second derivative of a(w). Find b such that n(b) = 0.
-5, -1
Let s(x) = 7*x**4 - 5*x**3 - 2*x**2 - 6*x + 6. Let c(o) = -o**4 + o**3 + o - 1. Let v(n) = 6*c(n) + s(n). Factor v(y).
y**2*(y - 1)*(y + 2)
Let q(r) = -r**3 + 13*r**2 + r - 13. Suppose -11*x + 137 = -6. Let k be q(x). Factor 2/5*w**2 - 2/5*w + k.
2*w*(w - 1)/5
Let a(b) be the third derivative of -b**5/240 - b**4/24 - b**3/6 - 7*b**2 + 21. Factor a(r).
-(r + 2)**2/4
Let s(r) = 6*r**4 + 36*r**3 - 14*r**2 - 96*r + 72. Let a(i) = i**4 + i**3 + i**2 - i + 2. Let t(c) = a(c) - s(c). Factor t(x).
-5*(x - 1)**2*(x + 2)*(x + 7)
Let v(u) be the first derivative of 2*u**5/15 + 7*u**4/2 + 98*u**3/3 + 343*u**2/3 - 275. Factor v(h).
2*h*(h + 7)**3/3
Let m(p) = -p**3 - 8*p**2 - 16*p - 3. Let j be m(-5). Let b(h) be the first derivative of 1/9*h + 1/9*h**3 + 1/6*h**j + 1/36*h**4 + 4. Factor b(w).
(w + 1)**3/9
Let c be (240/(-550))/(15/(-75)). Factor -12/11*s**2 + c*s + 2/11*s**3 - 16/11.
2*(s - 2)**3/11
Let k(c) be the third derivative of -c**8/16800 - c**7/6300 + c**6/900 - 5*c**4/24 - 13*c**2. Let v(z) be the second derivative of k(z). Factor v(f).
-2*f*(f - 1)*(f + 2)/5
Let l = -245 + 3199/13. Let d = -31490 - -409372/13. Factor -10/13*o**2 - d*o**3 - 6/13 - l*o.
-2*(o + 1)**2*(o + 3)/13
Let s be (-5 - (-22)/4)*10. Let b(q) = -q**2 - 4*q - 3. Let u(x) = -x - 1. Let j(z) = s*u(z) + 5*b(z). What is f in j(f) = 0?
-4, -1
Suppose -4*a - 3*l + 1300 = 0, 3*a + 7*l - 975 = 4*l. Let z = a + -322. Factor 135*t**z + 120*t**2 + 10/3 + 35*t.
5*(3*t + 1)**2*(9*t + 2)/3
Let n(m) = -m + 1. Let b(j) = j**2 + 26*j + 15. Let w(c) = -b(c) - 5*n(c). Determine x, given that w(x) = 0.
-20, -1
Suppose -4 - 1 = z, 0 = 2*y - z - 291. Suppose -10*j**4 + y - 143 + 10*j**2 - 5*j + 5*j**5 = 0. Calculate j.
-1, 0, 1
Let k be (-1)/2*62/(-279). Let i(t) be the second derivative of -7/36*t**4 + 5*t + 0*t**2 - k*t**3 - 1/20*t**5 + 0. Factor i(p).
-p*(p + 2)*(3*p + 1)/3
Let l(v) = -v**4 + 2*v**3 + 1. Let d(c) = 161*c**4 + 92*c**3 - 388*c**2 + 152*c - 15. Let r(f) = 2*d(f) - 2*l(f). Find t, given that r(t) = 0.
-2, 2/9, 1
Determine i so that 17*i**3 + 34*i**2 - 38*i - 11*i**4 - 5*i**5 - 7 + 1 - 2 - 15*i**2 + 26*i**3 = 0.
-4, -1, -1/5, 1, 2
Let p(u) = 13*u**2 - 54*u - 63. Let s(v) = -115*v**2 + 485*v + 565. Let o(c) = 35*p(c) + 4*s(c). Suppose o(g) = 0. What is g?
-1, 11
Let p(c) be the third derivative of 0*c + 1/4*c**3 - 5/24*c**4 + 0 + 5/72*c**5 - c**2. Solve p(f) = 0.
3/5
Factor 4*g**2 - 10*g - 5*g + 64*g - 19*g - 14*g - 84.
4*(g - 3)*(g + 7)
Let r be (363 - 360)/(2/(8/20)). Factor 0 - r*z**3 + 0*z + 18/5*z**2.
-3*z**2*(z - 6)/5
Factor -32/3*b + 14/3*b**2 + 8 - 2/3*b**3.
-2*(b - 3)*(b - 2)**2/3
Let -16*r - 18*r**5 + 9*r**2 + 774*r**4 + 17*r**5 - 771*r**4 - 12 + 17*r**3 = 0. Calculate r.
-2, -1, 1, 6
Let s(z) be the first derivative of -z**6/1260 + z**5/84 - z**4/21 + 14*z**3/3 + 10. Let w(c) be the third derivative of s(c). Solve w(i) = 0 for i.
1, 4
Let x(a) be the first derivative of a**5/70 + 2*a**4/21 + a**3/7 + 18*a - 12. Let h(n) be the first derivative of x(n). Let h(p) = 0. Calculate p.
-3, -1, 0
Let u(t) = -5*t**3 - t**2 - 5*t - 4. Let b be u(-1). Factor -2*z**b + 43*z - 43*z.
-2*z**5
Let c(l) = -27*l**4 + 115*l**3 + 3022*l**2 + 5731*l + 2809. Let b(u) = -4*u**4 + u**3 + u. Let i(a) = 14*b(a) - 2*c(a). Solve i(p) = 0 for p.
-53, -1
Let p be 108/450*3/12. Let y = 61/25 + p. Determine t so that -2*t**2 - 1 - y*t - 1/2*t**3 = 0.
-2, -1
Let z(x) be the third derivative of x**5/120 + 31*x**4/24 + 961*x**3/12 + 175*x**2. Factor z(b).
(b + 31)**2/2
Let c = -22382/3 - -7388. Let p = c - -1538/21. Factor -12/7*q**2 + 16/7 - 8/7*q**3 + p*q**4 + 16/7*q.
4*(q - 2)**2*(q + 1)**2/7
Let t(k) be the third derivative of k**7/350 + k**6/60 - 4*k**5/75 - 7*k**4/20 + 3*k**3/2 + 291*k**2. Solve t(f) = 0.
-3, 1, 5/3
Let g(h) be the third derivative of h**6/420 + 4*h**5/35 + 55*h**4/28 + 242*h**3/21 + 2*h**2 + 12*h. Factor g(q).
2*(q + 2)*(q + 11)**2/7
Let s(r) be the first derivative of -r**5/570 - r**4/57 - 4*r**3/57 + 7*r**2 - 8. Let t(l) be the second derivative of s(l). Factor t(i).
-2*(i + 2)**2/19
Let s(n) = n + 8. Let o be s(4). Let r = 72 - o. Let 28*i**4 + r*i**3 + 26*i**2 + 30*i**2 + 4*i**5 - 20*i**2 = 0. Calculate i.
-3, -1, 0
Suppose 36*n = 2*n. Let h(d) be the third derivative of 0*d + n - 1/180*d**5 + 0*d**3 - 1/72*d**4 - 5*d**2. Suppose h(a) = 0. What is a?
-1, 0
Let p(i) be the first derivative of i + 1/70*i**5 + 1/14*i**4 + 1/7*i**3 + 1/7*i**2 + 6. Let v(k) be the first derivative of p(k). Let v(l) = 0. Calculate l.
-1
Let w(m) be the first derivative of -3*m**7/70 - 7*m**6/150 + m**5/50 - 7*m - 3. Let t(q) be the first derivative of w(q). Factor t(d).
-d**3*(d + 1)*(9*d - 2)/5
Let w(l) be the second derivative of l**7/630 + l**6/120 + 3*l**5/160 + 9*l**4/4 + 32*l. Let k(q) be the third derivative of w(q). Factor k(u).
(4*u + 3)**2/4
Let f(i) be the second derivative of 0*i**2 + 1/28*i**4 + 6*i + 0*i**3 + 0. Find g, given that f(g) = 0.
0
Let g(r) = -r**2 - r. Let k = -4 + -4. Let a = k - -10. Let t(p) = 2*p**3 - 6*p**2 + 10*p. Let i(d) = a*g(d) + t(d). Solve i(y) = 0.
0, 2
Let j(a) be the second derivative of a**6/30 - a**4/6 + a**2/2 + 491*a. Solve j(l) = 0.
-1, 1
Let p(x) be the second derivative of x**9/12600 - x**8/4800 + x**7/12600 - 7*x**4/3 - 9*x. Let t(u) be the third derivative of p(u). Solve t(c) = 0.
0, 1/6, 1
What is f in -34*f**2 + 22*f**5 - 36*f**3 - 8*f**4 - 5 - 26*f**3 + 40*f + 13 + 34*f**4 = 0?
-2, -1, -2/11, 1
Let q(y) = -y**2 - 9*y + 4. Let t be q(-7). Solve -4*h + 35 - 19 + 6*h**2 - t = 0 for h.
-1/3, 1
Let w(p) be the third derivative of -13*p**6/160 - 3*p**5/40 - 2*p**2 - 33. Factor w(n).
-3*n**2*(13*n + 6)/4
Factor 0*o - 1/4*o**4 + 0*o**2 - 1/2*o**3 + 1/4*o**5 + 0.
o**3*(o - 2)*(o + 1)/4
Factor -137*h + 62*h + 467*h - 1182 - 8422 - 4*h**2.
-4*(h - 49)**2
Suppose -h + 16 = 3*h. Let n(l) = -11*l**2 + 24*l + 8. Let a(b) = 241*b**2 - 7 + 244*b**2 - 24*b - 475*b**2. Let t(p) = h*a(p) + 5*n(p). Factor t(k).
-3*(k - 2)*(5*k + 2)
Let g be ((-6)/(-2))/((-24)/(-16)). Let 5*a**2 - 4 + 12*a - 14 - 3*a**2 - 4*a**g = 0. Calculate a.
3
Let m = -4 - -7. Find f, given that 2*f**3 + f + 22*f - 38*f - 10 + m*f**3 = 0.
-1, 2
Let a(y) be the third derivative of -y**8/3024 + y**7/630 + y**6/360 - 7*y**5/540 - y**4/36 - 152*y**2. What is t in a(t) = 0?
-1, 0, 2, 3
Let z(y) = -3*y**3 + 3*y**2 + 5*y. Let n(h) be the second derivative of h**5/20 - h**4/12 - h**3/6 - 7*h. Let g(a) = -2*n(a) - 2*z(a). Factor g(t).
4*t*(t - 2)*(t + 1)
Solve -50*y**2 + 198*y + 136*y - 288 + 5*y**3 + 2*y - 3*y**3 = 0.
1, 12
Let b be -2*(-1)/(-2) + -56 + 57. Let q(c) be the second derivative of 3*c**2 - 12*c + 1/4*c**4 + b - 3/2*c**3. Factor q(r).
3*(r - 2)*(r - 1)
Factor -21 + 19/2*v + 1/2*v**2.
(v - 2)*(v + 21)/2
Let d = -6425/42 - -153. Let n(t) be the second derivative of -d*t**4 - 8/21*t**3 - 16/7*t**2 + 0 + 2*t. Determine s so that n(s) = 0.
-4
Let d(t) be the third derivative of t**7/42 + t**6/4 + 13*t**5/12 + 5*t**4/2 + 10*t**3/3 + 38*t**2. Factor d(q).
5*(q + 1)**2*(q + 2)**2
Suppose 0 = 4*z - 61 - 11. Let l be (-4)/z - 12/(-54). Find t, given that 0*t - 3/4*t**2 - 1/4*t**3 + l = 0.
-3, 0