v(g) be the first derivative of 0*g**2 + 2*g**4 - 2*g**3 - 2/5*g**5 + 0*g + 16. Find d such that v(d) = 0.
0, 1, 3
Suppose -4*x + 4*i + 44 = -16, 4*x - i = 45. Factor 2*d - 6*d**2 + 7 - 31 + 18*d + x*d**2.
4*(d - 1)*(d + 6)
Let p(x) be the first derivative of -x**7/3360 + x**6/720 - 11*x**3 - 7. Let a(z) be the third derivative of p(z). Factor a(k).
-k**2*(k - 2)/4
Suppose 38*b - 18*b - 6 = 18*b. Suppose 1/2*x**3 - b*x + 0 + 1/2*x**2 = 0. Calculate x.
-3, 0, 2
Suppose -6 - 1/3*m**3 + 3*m + 2/3*m**2 = 0. What is m?
-3, 2, 3
Let q(x) be the third derivative of -x**6/120 + 13*x**4/24 - 2*x**3 - 10*x**2 + 4*x. Solve q(m) = 0.
-4, 1, 3
Let h(b) be the first derivative of 5*b**4/12 - 70*b**3/9 + 92. Factor h(f).
5*f**2*(f - 14)/3
Let w(l) be the second derivative of -3*l**2 + l + 9/20*l**5 - 3/2*l**3 + 1/10*l**6 - 4 + 1/4*l**4. Factor w(d).
3*(d - 1)*(d + 1)**2*(d + 2)
Factor -14/5*f**2 + 6/5*f**3 + 0 + 0*f + 1/10*f**4.
f**2*(f - 2)*(f + 14)/10
Let m(z) be the second derivative of 0 - 8*z + 4/105*z**7 + 1/6*z**4 - 1/5*z**2 - 1/15*z**3 - 8/75*z**6 + 1/50*z**5. Factor m(u).
2*(u - 1)**3*(2*u + 1)**2/5
Let w(n) be the second derivative of -n**6/10 - 39*n**5/20 - 51*n**4/4 - 67*n**3/2 - 42*n**2 + 250*n. Determine i, given that w(i) = 0.
-7, -4, -1
Let r(o) be the third derivative of 1/6*o**4 - 23*o**2 + 0 + 4/3*o**3 + 0*o - 1/15*o**5. Solve r(g) = 0 for g.
-1, 2
Let w(z) = -z - 6. Let m be w(-9). Suppose u**2 - 4*u**5 + 66*u**4 - 5*u**2 - 62*u**4 + 4*u**m = 0. Calculate u.
-1, 0, 1
Determine u so that 27/5*u - 12/5*u**2 - 1/5*u**3 - 14/5 = 0.
-14, 1
Let p(u) = 25*u**3 + 485*u**2 - 200*u + 5. Let m(z) = 25*z**3 + 484*z**2 - 200*z + 6. Let h(j) = -5*m(j) + 6*p(j). Find i such that h(i) = 0.
-20, 0, 2/5
Let a = 724/11 - 3554/55. Let d(n) be the first derivative of 3/20*n**4 - 2/5*n**3 + a*n - 3/10*n**2 + 13. Solve d(u) = 0 for u.
-1, 1, 2
Let a = 6194/25 - -68/75. Let z = a + -247. Factor 0 + 5/3*f**2 - z*f.
5*f*(f - 1)/3
Let j(q) be the first derivative of q**6/17 - 56*q**5/85 + 27*q**4/17 + 40*q**3/17 - 25*q**2/17 - 256. Suppose j(d) = 0. What is d?
-1, 0, 1/3, 5
Let b(p) be the third derivative of -p**5/60 + p**4/12 + 17*p**3/6 - 33*p**2. Let g be b(5). Determine o so that 1/2*o + 5/2*o**g + 7/2*o**3 + 0 + 3/2*o**4 = 0.
-1, -1/3, 0
Let g(k) be the third derivative of k**6/40 - k**5/4 + k**4/2 - k**2 + 123. Factor g(l).
3*l*(l - 4)*(l - 1)
Factor 0 + 9/2*l + 3/2*l**3 - 6*l**2.
3*l*(l - 3)*(l - 1)/2
Let o be (2/8)/((-2)/(-12)). Let t = 940 - 1879/2. Factor -o + t*s**2 + s.
(s - 1)*(s + 3)/2
Let a(x) be the second derivative of -x**7/126 + x**6/90 + 7*x**5/60 - x**4/36 - x**3/3 - 5*x + 3. Let a(n) = 0. What is n?
-2, -1, 0, 1, 3
Suppose -2 - 13 = 3*j, -f + 9 = -j. Suppose -2*g + 12 = 2*u - 0*u, -21 = -5*u - 2*g. Factor -u*c**4 + c**4 - 2*c**5 - 2*c**3 - 3*c**4 + c**f.
-2*c**3*(c + 1)**2
Let q = 351 + -346. Let x(g) be the third derivative of q*g**2 + 0 + 7/330*g**5 + 1/66*g**4 + 0*g + 0*g**3 + 3/220*g**6 + 1/1848*g**8 + 1/231*g**7. Factor x(a).
2*a*(a + 1)**3*(a + 2)/11
Let n(f) be the first derivative of -50*f**2 - 35/4*f**4 + 40*f + 30*f**3 - 3 + f**5. Factor n(u).
5*(u - 2)**3*(u - 1)
Let x(t) be the third derivative of -2*t**6/15 + t**5 - 11*t**4/6 - 134*t**2 + 1. Suppose x(j) = 0. Calculate j.
0, 1, 11/4
Suppose 4/7*z**4 + 0 + 0*z**2 + 2/7*z**5 + 0*z + 2/7*z**3 = 0. Calculate z.
-1, 0
Let f = -199 - -3385/17. Suppose -5*m - 3*z - 51 + 42 = 0, 5*m - 3 = z. Solve f*c**2 + m*c - 2/17*c**3 + 0 = 0.
0, 1
Let o(z) be the first derivative of -z**5/40 - z**4/6 - 5*z**3/12 - z**2/2 - 16*z - 25. Let x(b) be the first derivative of o(b). Factor x(v).
-(v + 1)**2*(v + 2)/2
Factor 190/17*x**3 - 376/17*x**2 - 8/17*x + 0.
2*x*(x - 2)*(95*x + 2)/17
Let c be 0/(10*((-66)/(-12) - 5)). Let b(d) be the third derivative of -1/108*d**4 - 1/270*d**5 - 2*d**2 + 0*d**3 + 0*d + c. Find m such that b(m) = 0.
-1, 0
Let j(g) = -2*g**2 - 6*g + 4. Let t(i) = 2 + 4*i**2 - 5*i**2 + 0 + 2 - 6*i. Let a(y) = -3*j(y) + 4*t(y). Suppose a(x) = 0. What is x?
1, 2
Factor -4/5*w**3 + 9/5*w**5 + 0*w**2 + 0*w + w**4 + 0.
w**3*(w + 1)*(9*w - 4)/5
Let y(g) be the first derivative of -6 - 1/84*g**4 + 0*g**2 + 0*g**3 - 1/140*g**5 - 5*g. Let b(x) be the first derivative of y(x). Let b(s) = 0. What is s?
-1, 0
Suppose 3*b = 3*l + 27, -b - 6*l = -l + 21. Let i(s) be the first derivative of 1/7*s + 1/7*s**2 + b + 1/21*s**3. Factor i(c).
(c + 1)**2/7
Let o(m) be the first derivative of -m**3/12 + m**2/4 - m/4 - 80. Determine k, given that o(k) = 0.
1
Let c(t) be the third derivative of 0*t**4 + 0*t + 33*t**2 + 1/90*t**5 + 0*t**3 + 0 - 1/630*t**7 - 1/360*t**6. Factor c(v).
-v**2*(v - 1)*(v + 2)/3
Factor -110 - 93 - 4*x**2 - 103 - 56*x + 254.
-4*(x + 1)*(x + 13)
Let v(m) be the first derivative of m**4/24 - m**3/3 + m**2 - 4*m/3 - 76. Solve v(r) = 0 for r.
2
Factor 7/9*f**4 + 0 + 8/3*f**2 - 4/9*f + 3*f**3.
f*(f + 2)**2*(7*f - 1)/9
Let x(w) be the first derivative of -w**3/3 - 11*w**2/2 - 24*w - 185. Factor x(b).
-(b + 3)*(b + 8)
Let j = -69100/9 + 7680. What is u in 56/9*u - j - 16/3*u**2 + 4/9*u**4 + 8/9*u**3 = 0?
-5, 1
Let a = -3/410 + 1667/3690. Suppose 25 = 6*d - d, -5*x + 2*d = -5. Factor 0 - 2/9*z - a*z**2 + 2/9*z**5 + 0*z**x + 4/9*z**4.
2*z*(z - 1)*(z + 1)**3/9
Let s(n) be the third derivative of n**6/160 + n**5/20 - n**4/32 - n**3/2 - 38*n**2. Factor s(l).
3*(l - 1)*(l + 1)*(l + 4)/4
Let t(x) be the first derivative of 1/4*x**3 - 9/8*x**2 + 3/2*x - 9. Determine f, given that t(f) = 0.
1, 2
Let x(b) be the first derivative of -b**3/21 + b**2/7 + 144. Determine d so that x(d) = 0.
0, 2
Factor -1/2*d + 3/4*d**2 + 0 - 3/4*d**4 + 1/4*d**3 + 1/4*d**5.
d*(d - 2)*(d - 1)**2*(d + 1)/4
Let s = -1281 + 1281. Find l such that 16/7*l**3 + 0 + s*l - 2/7*l**4 - 32/7*l**2 = 0.
0, 4
Let h(y) be the first derivative of 0*y**2 + 0*y**3 - 26 + 0*y + 2/35*y**5 + 0*y**4. Suppose h(u) = 0. What is u?
0
Let m(j) = j**3 - 2*j**2 - 1. Let s(r) = 141*r**3 - 143*r**2 + 6. Let t(v) = -2*m(v) - s(v). Factor t(z).
-(z - 1)*(11*z - 2)*(13*z + 2)
Let d(i) be the first derivative of -19/6*i**2 - 29/12*i**4 - 13/3*i**3 - 7/15*i**5 - 2/3*i - 10. Find m, given that d(m) = 0.
-2, -1, -1/7
Let 16/7 + 4*t + 2*t**2 + 2/7*t**3 = 0. What is t?
-4, -2, -1
Let m(i) = -19*i - 44*i**2 + i + 4 + 78. Let u(b) = -5*b**2 - 2*b + 9. Let v(k) = 6*m(k) - 52*u(k). Factor v(g).
-4*(g - 2)*(g + 3)
Let m(x) be the third derivative of x**6/240 - 11*x**5/120 - 23*x**4/24 + 14*x**3/3 - 463*x**2. Determine c, given that m(c) = 0.
-4, 1, 14
Let h(a) = -a**3 - 11*a**2 - 79*a - 129. Let y(i) = -49*i + 326 + 208*i + 21*i**2 - 67 + 2*i**3. Let k(l) = 9*h(l) + 4*y(l). Solve k(w) = 0.
-5
Let d = -26 + 41. Let m = d - 10. Determine g so that 3*g**2 + 2*g**4 - 3*g**3 - 3*g**5 + g**3 + m*g**3 - 5*g**4 = 0.
-1, 0, 1
Let c(h) be the first derivative of h**6/36 + 4*h**5/15 + 13*h**4/24 + h**3/3 + 28. Factor c(p).
p**2*(p + 1)**2*(p + 6)/6
Let q(b) be the third derivative of -b**6/60 - b**5/6 + b**4/2 - 264*b**2. Factor q(y).
-2*y*(y - 1)*(y + 6)
Solve -25*c - 13 + 58*c**2 - 26*c**2 - 57 - 27*c**2 = 0.
-2, 7
Let d(y) be the third derivative of y**11/166320 + y**10/75600 - y**9/15120 - y**5/10 - y**2. Let g(q) be the third derivative of d(q). Factor g(t).
2*t**3*(t - 1)*(t + 2)
Let p(s) = -s**2 + 11*s - 8. Let t be p(10). Factor 0*c**2 - t*c**2 - c**2.
-3*c**2
Let k(p) be the third derivative of 32*p**7/105 + 2*p**6 + 193*p**5/60 - 5*p**4/2 + 2*p**3/3 + 24*p**2. Find j such that k(j) = 0.
-2, 1/8
Let x be 1090/75 + 0 + -14. Find d, given that 2/15 - 8/15*d**5 - 2/15*d + x*d**4 + 2/3*d**3 - 2/3*d**2 = 0.
-1, -1/2, 1/2, 1
Let i be ((-4)/10)/((-1)/5). Determine z so that -3*z**i + 60*z**3 + 23*z**2 - 13*z**4 - 22*z**4 = 0.
-2/7, 0, 2
Let b(x) be the first derivative of 1/33*x**6 - 32/11*x + 14/55*x**5 + 16/33*x**3 + 8/11*x**4 - 20 - 16/11*x**2. Factor b(o).
2*(o - 1)*(o + 2)**4/11
Suppose -3 + 24 = 7*x. Factor -h**4 + 4*h**4 - x*h**4 - 4*h**5 + 2*h**4.
-2*h**4*(2*h - 1)
Let t(p) be the first derivative of -2*p**5/35 - 8*p**4/7 - 46*p**3/7 - 94*p**2/7 - 80*p/7 + 157. What is r in t(r) = 0?
-10, -4, -1
Factor -2*o**2 + 2/3*o**3 + 0 + 4/3*o.
2*o*(o - 2)*(o - 1)/3
Find n, given that -58/5*n + 52/5*n**3 - 14/5 + 10*n**4 + 6/5*n**5 - 36/5*n**2 = 0.
-7, -1, -1/3, 1
Let c be (0 