 Find m such that j(m) = 0.
-1, 0
Let f(m) be the second derivative of m**9/3024 - m**7/420 + m**5/120 + m**3/2 + 4*m. Let l(k) be the second derivative of f(k). Solve l(w) = 0.
-1, 0, 1
Suppose 83*h - 30 = -30. Factor 4/3*z**2 - 4/3*z + h.
4*z*(z - 1)/3
Solve 12*s + 4*s**2 + 1/3*s**3 + 0 = 0.
-6, 0
Let b = 17 - 13. Factor -2*u**3 - 2 - 5*u**4 + u**3 - b*u**3 - 9*u**2 - 7*u + 4*u**4.
-(u + 1)**3*(u + 2)
Let c(o) = -o**3 + 2*o**2 - 9*o + 2. Let u(b) = -3*b**3 + 5*b**2 - 18*b + 5. Let w(t) = -5*c(t) + 2*u(t). Solve w(q) = 0 for q.
-3, 0, 3
Let d be 34/(-51)*((-6)/(-4))/((-3)/6). Find x, given that 0*x - 9/2*x**4 + 0 + 3/2*x**5 - 3/2*x**d + 9/2*x**3 = 0.
0, 1
Factor 0 + o - 1/5*o**2.
-o*(o - 5)/5
Solve -6*s - 1 - 21/4*s**2 - 5/4*s**3 = 0.
-2, -1/5
Let y(m) be the third derivative of 1/40*m**6 - 1/350*m**7 + 3/40*m**4 + 0*m**3 - 7/100*m**5 + 0*m + 4*m**2 - 2. Factor y(r).
-3*r*(r - 3)*(r - 1)**2/5
Let o(l) be the first derivative of l**3/3 - 7*l**2/2 - 53. Factor o(j).
j*(j - 7)
Let l(d) = -d - 1. Let b(o) = -3*o**3 - 78*o**2 + 554*o - 859. Let t(a) = b(a) + 5*l(a). Let t(k) = 0. What is k?
-32, 3
Factor -28/9*b**2 + 10/9*b**3 + 14/9*b + 4/9.
2*(b - 2)*(b - 1)*(5*b + 1)/9
Factor 45 + 159870*g**2 - 5 - 2180895*g**3 - 4380*g + 235810*g**3.
-5*(73*g - 2)**3
Let l be (367 + -375)*2/(1 - 5). Factor -4/7*n**3 - 2/7*n**l + 0 + 0*n + 6/7*n**2.
-2*n**2*(n - 1)*(n + 3)/7
Let t(p) be the first derivative of p**3 + 45*p**2/2 + 52. Factor t(i).
3*i*(i + 15)
Let m(i) = 3*i**2 - 4*i - 2. Let l be m(-3). Factor -53*y + l*y - 137*y - 92*y - 70*y**2 - 5*y**3.
-5*y*(y + 7)**2
Let j(v) be the second derivative of -3*v**2 - 1/4*v**4 + 6*v + 0 + 3/2*v**3. Factor j(q).
-3*(q - 2)*(q - 1)
Let -70/3*w + 40 + 5/3*w**3 - 5/3*w**2 = 0. Calculate w.
-4, 2, 3
Let o(r) be the second derivative of -3*r**5/20 - r**4/4 + r**3/2 + 3*r**2/2 + 223*r. Factor o(m).
-3*(m - 1)*(m + 1)**2
Suppose -5*c = -254 + 34. Let d = c + -44. Factor 1/4*v**3 - 1/2*v + 1/4*v**2 + d.
v*(v - 1)*(v + 2)/4
Let j(h) be the third derivative of -1/504*h**8 - 1/45*h**6 + 0*h + 0 + 0*h**3 + 0*h**5 - 4/315*h**7 + 0*h**4 - 35*h**2. Factor j(k).
-2*k**3*(k + 2)**2/3
Let k(s) = s**2 - s. Let o be (-2)/(-6)*(2 + -14). Let i(v) = v**2 + 2*v. Let z(d) = o*k(d) - i(d). Suppose z(q) = 0. Calculate q.
0, 2/5
Factor -57*v - 230*v**2 - 38*v - 238*v - 567*v + 4*v**3 + 452 + 674*v**2.
4*(v - 1)**2*(v + 113)
Suppose 5*j + 2*o - 56 = -0*o, -52 = -4*j + 2*o. Let 6 + 3*g**2 + 15*g**3 + 10 - j*g**2 - 4 - 15*g - 3*g**4 = 0. Calculate g.
-1, 1, 4
Let z(d) be the first derivative of 0*d + 4/25*d**5 + 2 + 1/15*d**3 + 1/5*d**4 + 0*d**2. Let z(f) = 0. What is f?
-1/2, 0
Let p(a) be the first derivative of 5/3*a**3 - 7 + 5*a**2 + 0*a. Factor p(j).
5*j*(j + 2)
Let m = 6 - 3. Let x be (-8)/(-28) + 280/49. What is a in 3 + 1 - x*a - 13 + m*a**2 = 0?
-1, 3
Let w = -12 + -53. Let c = w - -65. Suppose 0 + 2/3*j**4 - 2/3*j**3 + 2/3*j**5 + c*j - 2/3*j**2 = 0. What is j?
-1, 0, 1
Suppose 7*h = -0 + 14. Factor 2*q**h + 6*q**2 + 10*q - 2*q**3 + 4 - 20*q.
-2*(q - 2)*(q - 1)**2
Let f = -4/1239 + 3725/2478. Suppose -1 = -3*b + 5. Factor 3*u - 3/2*u**b - f.
-3*(u - 1)**2/2
Let q(l) = 4*l**3 - 32*l**2 - 38*l - 2. Let y(a) = 8*a**3 - 62*a**2 - 75*a - 5. Let r(d) = 5*q(d) - 2*y(d). Factor r(c).
4*c*(c - 10)*(c + 1)
Suppose 0 = -2*z - l - 15 + 19, -5*z + l + 17 = 0. Let u(d) be the first derivative of -2*d**2 - 1 + 0*d - 2/3*d**z. Find r such that u(r) = 0.
-2, 0
Suppose 392/5 - 8*r**4 + 8/5*r**3 - 868/5*r + 512/5*r**2 - 4/5*r**5 = 0. Calculate r.
-7, 1, 2
Let x be -4 - (-17 - -5)/2. Factor -5*w - 5644*w**2 + 5647*w**x - w**3 + 3*w.
-w*(w - 2)*(w - 1)
Let j(h) be the third derivative of 2*h**7/105 + 7*h**6/30 + 6*h**5/5 + 10*h**4/3 + 16*h**3/3 - 47*h**2. Factor j(d).
4*(d + 1)*(d + 2)**3
Let f(v) be the first derivative of -5 - 3/7*v**2 + 0*v - 5/14*v**4 - 2/35*v**5 - 2/3*v**3. Factor f(a).
-2*a*(a + 1)**2*(a + 3)/7
Let c(g) = -4*g**2 + 7*g + 2. Let w(j) = j**2 - 2*j. Let s(m) = c(m) + 5*w(m). Factor s(b).
(b - 2)*(b - 1)
Let b(o) be the third derivative of -o**5/60 + 5*o**4/24 - 2*o**3/3 - 22*o**2. Let z be b(3). Factor -4/3*g**2 + 0 - 2/3*g**4 + 0*g + z*g**3.
-2*g**2*(g - 2)*(g - 1)/3
Suppose 132 = -0*n + 11*n. Suppose n*f - 26 = -f. Factor -4/15*w + 0 - 6/5*w**f.
-2*w*(9*w + 2)/15
Let h = -228 + 234. Let t(a) be the third derivative of -1/36*a**4 - 2/9*a**3 + 0 + 0*a + 1/180*a**h - 2*a**2 + 1/45*a**5. Factor t(y).
2*(y - 1)*(y + 1)*(y + 2)/3
Suppose 2*l + t - 773 = -3*l, -145 = -l - 5*t. Let m = l - 155. Factor 1/8*k**3 + m + 3/8*k - 1/8*k**4 + 5/8*k**2.
-k*(k - 3)*(k + 1)**2/8
Suppose 7*p + 96 = 11*p. Factor -1 - p*t - 5 + 19 + 18*t**2 - 5.
2*(3*t - 2)**2
Let i be (-15)/10 + ((-14)/(-4) - 3). Let a be (-1)/i*2/8. Find v, given that -1/4*v**3 - a*v**2 + 0 + 0*v = 0.
-1, 0
Suppose 2*u - 41 = -5*f + 3*u, -11 = -f + 3*u. Suppose -2*y + y + f = 0. Factor -8*i + 8 + 6*i**2 + 4*i**2 - y*i - 2*i**3.
-2*(i - 2)**2*(i - 1)
Let p(c) be the first derivative of 0*c + 15/2*c**4 - 54 - c**5 + 15*c**2 - 55/3*c**3. Find q, given that p(q) = 0.
0, 1, 2, 3
Let a(q) be the second derivative of -q**7/56 - 3*q**6/20 + 27*q**5/40 + 27*q**4/2 + 567*q**3/8 + 729*q**2/4 - 79*q. Determine z so that a(z) = 0.
-3, 6
Let p be 190/(-35) + 5 - (-51)/21. Let 2/21*o**5 + 0*o - 10/21*o**4 + 0 + 16/21*o**3 - 8/21*o**p = 0. Calculate o.
0, 1, 2
Let x be 202/532 - 9/(-18). Let g = 33/19 - x. Find v, given that 2/7*v + g*v**3 - 6/7*v**2 - 2/7*v**4 + 0 = 0.
0, 1
Let h(b) be the third derivative of 0*b**3 + 26*b**2 - 1/140*b**7 + 1/224*b**8 + 0 + 0*b + 0*b**5 + 0*b**4 - 1/40*b**6. Suppose h(m) = 0. Calculate m.
-1, 0, 2
Let y = 9 + -7. Suppose 4*t + t - 7 = 4*g, y*t - 12 = -3*g. Factor t*w**3 - w**2 + 2 + 1 - 103*w - 2*w**2 + 100*w.
3*(w - 1)**2*(w + 1)
Let o be (-52)/8 + 1/2. Let r be o/(3 - 0) + 4. Determine w, given that 0 - 1/3*w**r + 2/3*w**3 - 2/3*w + 1/3*w**4 = 0.
-2, -1, 0, 1
Suppose 21*i - 27 = 12*i. Factor 3*f**2 - 76*f**3 + 149*f**3 - i*f**5 - 70*f**3 - 3*f**4.
-3*f**2*(f - 1)*(f + 1)**2
Suppose 3*k + 2 = 4*a - 0*k, 0 = -3*a + 3*k. Factor 3*d**5 - 10*d**a + 8*d**4 - 4*d**3 + 0*d**2 - 7*d**5 - d + 2 + 9*d**5.
(d - 1)*(d + 1)**3*(5*d - 2)
Factor -1085*g**2 - 142*g + 36*g**3 + 750*g + 265*g**2 + 176.
4*(g - 22)*(g - 1)*(9*g + 2)
Suppose -6 = -l + 8*f - 7*f, 4*l - f - 12 = 0. Let z(v) be the second derivative of -1/160*v**5 + 6*v + 0*v**l - 1/48*v**3 + 0 + 1/48*v**4. Factor z(d).
-d*(d - 1)**2/8
Suppose -4*c = -w - 3*w - 12, -2*c + 12 = -4*w. Let b be w/4*(7 - (-424)/(-56)). Let 0 + 3/7*v + b*v**2 = 0. Calculate v.
-1, 0
Let h = 525063/5 - 105364. Let o = -350 - h. Factor 0*g - 2/5*g**3 + 9/5*g**4 + 0*g**2 - o*g**5 + 0.
-g**3*(g - 1)*(7*g - 2)/5
Let z(v) be the second derivative of -5*v**4/3 - 195*v**3/2 - 145*v**2/2 - v + 39. Factor z(w).
-5*(w + 29)*(4*w + 1)
Let i(f) be the third derivative of 1/2*f**3 - 3/80*f**5 + 12*f**2 - 1/160*f**6 + 0 + 0*f**4 + 0*f. Factor i(q).
-3*(q - 1)*(q + 2)**2/4
Let q(v) = v**3 + 15*v**2 - 16*v + 3. Let u be q(-16). Let m = -4 - -6. Factor w**3 + 3*w**m - u*w**2 - 7*w**3 + 2*w**2 + 4*w.
-2*w*(w - 1)*(3*w + 2)
Solve -7947*y + y**2 - 3*y**2 + 7909*y + 84 = 0.
-21, 2
Let d(v) be the first derivative of -v**8/1008 + 2*v**7/315 - v**6/120 - 3*v**2 + 3. Let g(t) be the second derivative of d(t). Factor g(a).
-a**3*(a - 3)*(a - 1)/3
Let g(t) = -t**3 + 12*t**2 - 11*t + 5. Let i be g(11). Suppose 5*l**i + 7*l**2 - 2*l**3 + 4 + 7*l**4 - l**5 - 21*l**2 + 3*l**4 - 2*l = 0. What is l?
-2, -1, 1/2, 1
Let z(v) be the second derivative of v**7/21 - 46*v**6/15 + 573*v**5/10 - 506*v**4/3 + 484*v**3/3 - 5*v - 38. Factor z(j).
2*j*(j - 22)**2*(j - 1)**2
Let d(j) = -4*j**3 + 8*j**2 - 8*j + 2. Let s = -12 - -17. Let y(t) = 9*t**3 - 16*t**2 + 15*t - 3. Let z(r) = s*d(r) + 2*y(r). Factor z(x).
-2*(x - 2)*(x - 1)**2
Let p be (-5 - 25/(-4)) + 6/8. Factor 8/5 + 2/5*f**p + 8/5*f.
2*(f + 2)**2/5
Factor -2*v**3 - 32*v**2 + 0*v**3 - 6*v + 7*v**2 - 26*v + 9*v**2.
-2*v*(v + 4)**2
Let r(t) be the third derivative of -17*t**2 - 2/33*t**3 - 8/165*t**5 + 0 + 0*t + 7/660*t**6 + 1/12*t**4. Determine n, given that r(n) = 0.
2/7, 1
Let v = 0 - -5. Suppose -3*q - 3*d + 21 = 0, -2*d = 5*q - 5*d + v. Suppose p**4 - 3*p**q - 7*p**4 + 6 + 3*p**4 - 9*p + 9*p**3 = 0. Calculate p.
-1, 1, 2
Le