Let m(j) be the third derivative of k(j). Factor m(w).
-5*(w - 2)*(w - 1)*(w + 2)
Let k be (((-1)/3)/(10/6))/(39 + -41). Factor k*v**2 - 2/5 + 3/10*v.
(v - 1)*(v + 4)/10
Let w(x) = -7*x**2 + 9*x - 11. Suppose 7*h - 11*h + 64 = 0. Let f(g) = -36*g**2 + 44*g - 56. Let j(r) = h*w(r) - 3*f(r). Suppose j(s) = 0. What is s?
1, 2
Let p(f) be the second derivative of f**4/4 - 187*f**3/2 + 668*f. Find o such that p(o) = 0.
0, 187
Solve 10*c + 11*c**2 + 28 - c**2 - 2*c**2 - 4*c**2 - 6*c**2 = 0.
-2, 7
Let u(l) = 4*l - 9. Let r be u(6). Let w = 90 - r. Factor -29*t + 10*t**2 - 28*t**2 + 165*t**3 + 24 + w*t**4 - 55*t.
3*(t + 1)*(t + 2)*(5*t - 2)**2
Let g be (14/(-14))/((-40)/2). Let w(h) be the second derivative of -g*h**5 + 1/4*h**4 + 0*h**2 + 0 - 3*h - 1/3*h**3. Factor w(y).
-y*(y - 2)*(y - 1)
Let l = -2533 + 12667/5. Factor 4/5 + 2/5*p**4 - 2/5*p**3 - 6/5*p**2 + l*p.
2*(p - 2)*(p - 1)*(p + 1)**2/5
Let j(a) = 13*a**3 - 3*a**2 - 5*a + 7. Let z(f) = -6*f**2 + 13 - 8*f + 47*f**3 + 0*f**2 - 22*f**3 - 3*f. Let n(u) = 7*j(u) - 4*z(u). What is b in n(b) = 0?
-1, 1/3, 1
Let g(x) be the first derivative of -x**6/900 + 7*x**5/600 - x**4/24 - 7*x**3/3 + 30. Let t(r) be the third derivative of g(r). Factor t(o).
-(o - 1)*(2*o - 5)/5
Suppose 2*l + 3*a + a = -42, -4*l = 5*a + 75. Let g = l + 19. Let 2*j**g + 0*j**4 + j**4 + 2*j + 5*j**2 - 2*j**4 + 4*j**3 = 0. Calculate j.
-2, -1, 0
Let l(t) be the first derivative of 2*t**3/45 + 28*t**2/15 + 64*t/5 - 596. Factor l(v).
2*(v + 4)*(v + 24)/15
Let q be (8238/(-198))/((-10)/(-12)). Let s = 256/5 + q. Find m, given that 32/11*m - s*m**3 - 10/11*m**2 - 8/11 = 0.
-2, 2/7, 1
Let i(z) be the first derivative of -49*z**6/16 + 357*z**5/40 - 129*z**4/16 + 2*z**3 + 463. Suppose i(u) = 0. Calculate u.
0, 2/7, 1, 8/7
Factor 6*a - 151*a**3 - 8*a**2 + 85*a**3 + 68*a**3.
2*a*(a - 3)*(a - 1)
Let q(p) be the third derivative of -2*p**7/105 + p**6/10 + 27*p**5/5 + 99*p**4/2 + 216*p**3 + 2*p**2 + 82. Factor q(g).
-4*(g - 12)*(g + 3)**3
Factor -2/15*l**3 + 0 - 1682/15*l - 116/15*l**2.
-2*l*(l + 29)**2/15
Let 6/7 - 6/7*t**2 + 3/7*t - 3/7*t**3 = 0. What is t?
-2, -1, 1
Let c(l) = 17*l**3 - 64*l**2 + 20*l - 5. Let r(g) = 18*g**3 - 64*g**2 + 20*g - 6. Let a(t) = -6*c(t) + 5*r(t). What is p in a(p) = 0?
0, 1/3, 5
Suppose -4 + 0 = -2*i. Find v, given that 3 - 5 + 2 + 3*v**i - 3*v = 0.
0, 1
Let k(q) be the first derivative of -q**7/70 - q**6/25 + 9*q**5/100 + q**4/5 - 2*q**3/5 + 5*q - 5. Let a(c) be the first derivative of k(c). Solve a(g) = 0.
-2, 0, 1
Let t(q) = q - 2. Let z(g) = -40*g**3 + 366*g**2 - 56*g - 24. Let d(u) = -6*t(u) - z(u). Solve d(j) = 0.
-1/4, 2/5, 9
Let t be 1/(1/(-9) + (-456)/(-216)). Factor -3/2 + 3/2*x**2 - t*x**3 + 1/2*x.
-(x - 3)*(x - 1)*(x + 1)/2
Factor -858*v + 839*v - 10 + 3*v**3 - 5*v**3 + 4*v**3 - v**3 - 8*v**2.
(v - 10)*(v + 1)**2
Suppose 0 = -70*z - 5*z. What is l in 0*l - 2/3*l**3 + 0 + z*l**2 = 0?
0
Let w(x) be the third derivative of -x**7/105 - x**6/60 - 266*x**2. Determine c, given that w(c) = 0.
-1, 0
Let d be (-374)/51 + 2/6. Let z be (2/d)/((-30)/14). Factor z*j**2 - 4/15*j**3 + 0 + 2/15*j**4 + 0*j.
2*j**2*(j - 1)**2/15
Let q(v) = 3*v + 2. Let j(w) = -2*w - 1. Let n(a) = -4*j(a) - 3*q(a). Let l be n(-5). Find r, given that 5 + 5*r + 3*r**l + 10*r - 12*r**2 - 11 = 0.
1, 2
Let a = -958/5 - -192. Determine j, given that -a + 3/5*j - 1/5*j**2 = 0.
1, 2
Factor 92*q**2 - q + 100*q**2 + 5*q + 3*q - 16*q.
3*q*(64*q - 3)
Suppose -2*g + 24 = -4*s, 0 = 3*g - 5*s + 4*s - 16. Factor -8*n + g*n**2 + 4 - 11 - 5.
4*(n - 3)*(n + 1)
Let z(x) = 2*x**5 + 5*x**4. Let a(y) = -2*y**5 - 4*y**4. Let s(r) = -r + 8. Let l be s(6). Let i(k) = l*z(k) + 3*a(k). Suppose i(d) = 0. What is d?
-1, 0
Suppose 2*d**3 - 20*d**2 + 61*d**2 - 18*d**2 - 21*d**2 = 0. Calculate d.
-1, 0
Suppose -k - 5*f + 2 = 8, -k + f + 6 = 0. Let m(o) be the first derivative of 2/35*o**5 + 0*o**k + 0*o + 0*o**2 - 9 + 0*o**3. Suppose m(s) = 0. Calculate s.
0
Let i = -336 - -338. Let r(b) be the second derivative of 0 + 6*b + 1/9*b**4 + 1/15*b**5 + 0*b**i - 4/9*b**3. Determine m, given that r(m) = 0.
-2, 0, 1
What is n in 7 + 4*n - n**2 - 10*n + 4*n + 1 = 0?
-4, 2
Suppose 0*o - 3*o = 0, 0 = 5*y + 2*o + 15. Let a(w) = -3*w**2 + 13*w - 5. Let c(q) = -2*q**2 + 7*q - 3. Let g(b) = y*a(b) + 5*c(b). Find p such that g(p) = 0.
-4, 0
Let w(g) be the third derivative of g**8/840 - 3*g**7/175 + g**6/20 - 7*g**5/150 - 9*g**2. Factor w(m).
2*m**2*(m - 7)*(m - 1)**2/5
Suppose -2*f - 3 = -i - 6, -4*i = -4*f + 20. Let j be i + 78/12 - (-1)/2. Let -1/2*x**5 + 2*x**3 + j*x**4 - x**2 + 1 - 3/2*x = 0. Calculate x.
-2, -1, 1
Let j(w) be the third derivative of -1/72*w**6 - 5/12*w**4 + 0 + 1/1260*w**7 - 8*w**2 + w**3 + 37/360*w**5 + 0*w. Solve j(n) = 0 for n.
2, 3
Let u(g) be the third derivative of -g**7/315 - g**6/90 + 2*g**5/15 - 7*g**4/18 + 5*g**3/9 + g**2 - 37. Suppose u(b) = 0. Calculate b.
-5, 1
Suppose -8*c + 125 = -171. Let k = c - 107/3. What is m in -1/3*m**2 - 4/3 - k*m = 0?
-2
Let b(g) be the second derivative of g**6/3 - 9*g**5/5 - 4*g**4/3 + 49*g. Factor b(o).
2*o**2*(o - 4)*(5*o + 2)
Factor 24*x**3 + 192*x + 256/3 + 4/3*x**4 + 388/3*x**2.
4*(x + 1)**2*(x + 8)**2/3
Let k(z) be the second derivative of -z**7/10080 + z**6/960 + z**5/120 - z**4/6 + 10*z. Let a(d) be the third derivative of k(d). Factor a(p).
-(p - 4)*(p + 1)/4
Let k be 8 + (-21)/49 + (-18)/7. Factor 51 - 21 - k*n**4 + 40*n**3 + 105 - 90*n**2.
-5*(n - 3)**3*(n + 1)
Let o(c) be the second derivative of -c**7/21 - 2*c**6/15 + c**5/10 + c**4/3 + c - 5. Determine l, given that o(l) = 0.
-2, -1, 0, 1
Let o(c) be the third derivative of -c**9/3024 - c**8/560 - c**7/420 + 15*c**3/2 + 20*c**2. Let f(i) be the first derivative of o(i). Factor f(q).
-q**3*(q + 1)*(q + 2)
Suppose 12*m**3 - 10*m**2 + 13*m**2 + 5*m**2 - 4*m**5 = 0. What is m?
-1, 0, 2
Suppose 31*g + 308 - 432 = 0. Solve 0*p - 2/7*p**g + 0 + 0*p**2 + 2/7*p**3 = 0.
0, 1
Suppose 4*p - 2*l = -0*l + 24, -3*p - 5*l = -44. Suppose 0 = -0*w - 4*w + p, 28 = 5*r + 4*w. Factor -4*c**r - 4*c**2 + 5*c**3 + c**3 + 2*c**3.
-4*c**2*(c - 1)**2
Let i(j) be the second derivative of -j**5/80 + j**4/12 - j**3/8 + j + 10. Find v such that i(v) = 0.
0, 1, 3
Let k(f) be the third derivative of 5*f**4/24 - 77*f**3/6 - 14*f**2. Let c be k(16). Factor 0*t - 1/8*t**5 + 0*t**c + 1/8*t**4 + 0*t**2 + 0.
-t**4*(t - 1)/8
Let a(n) be the second derivative of n**7/273 - n**6/65 - n**5/10 + 17*n**4/26 - 12*n**3/13 - 24*n. Suppose a(z) = 0. What is z?
-4, 0, 1, 3
Let h be (-5)/(-2)*(-8)/(-110) + 19027/3949. Suppose -h - 5/6*u + 5/6*u**2 = 0. What is u?
-2, 3
Let z be ((-19)/4 + 5)*0. Suppose 12*y - 11*y - q = 0, -2*q = z. Solve y - 1/3*v**2 - v = 0.
-3, 0
Let o(x) = -x**3 - 8*x**2 + 12*x + 30. Let t be o(-9). Let r(b) be the second derivative of -1/12*b**4 + 0*b**2 + 0*b**t - 3*b + 0. Factor r(h).
-h**2
What is v in 40*v + 45*v**2 - 135*v**2 - 1427 + 1283 - 5*v**3 - 205*v + 2564 = 0?
-11, 4
Let w(d) be the third derivative of -d**5/450 + 7*d**4/180 + 2*d**3/5 - d**2 - 15*d. Factor w(z).
-2*(z - 9)*(z + 2)/15
Let 1/4*g**2 + 1/2 - 3/4*g = 0. What is g?
1, 2
Let o be (-3)/(-6) + 78/12. Let y be (3/((-15)/4))/(o/(-35)). Suppose -1/5*s**2 + 0*s + 2/5*s**3 + 0 - 1/5*s**y = 0. What is s?
0, 1
Determine w, given that 3 - w**2 - 18 - 5 + 0*w**2 + 21*w = 0.
1, 20
Let v = 57 + -48. Suppose 7*m = v*m. Let -2 + m*w + 81/2*w**2 = 0. Calculate w.
-2/9, 2/9
Let p(x) be the second derivative of x**7/357 + 2*x**6/255 - 2*x**5/85 - x**4/51 + x**3/17 - 15*x + 6. Find s, given that p(s) = 0.
-3, -1, 0, 1
Determine s, given that 0 - 1/4*s**2 + 9/4*s = 0.
0, 9
Let y(v) be the second derivative of 0 + 5/12*v**4 - 10*v**3 - 46*v + 90*v**2. Factor y(d).
5*(d - 6)**2
Suppose 0 = -2*n - 4, -14*k + 19*k = n + 42. Suppose -14 + k = -3*i. Determine h, given that 0*h**i + 0*h**4 + 0 + 0*h - 1/2*h**5 + 1/2*h**3 = 0.
-1, 0, 1
Suppose -6*c - 6 = -8*c. Suppose -c*f + 3*f = -2*f. Determine o so that -1/2*o**3 + f*o + 0 + 1/4*o**2 + 1/4*o**4 = 0.
0, 1
Let q(s) be the first derivative of -4*s**5 + 0*s + 0*s**2 - 14/3*s**6 - 13 + 2*s**4 + 0*s**3. Factor q(w).
-4*w**3*(w + 1)*(7*w - 2)
Let s(v) be the first derivative of v**6/180 - v**4/48 + v**3/36 - 11*v**2/2 + 2. Let i(u) be the second derivative of s(u). Factor i(x).
(x + 1)*