3)*(h - 2)**2
Let -32/3*x + 8/3*x**3 - 2/3*x**2 + 8/3 = 0. Calculate x.
-2, 1/4, 2
Let m be (3 + 15)/((-6)/(-4)). Let h be 80/m*(-2 - -5). Let -2*w - 6*w - 175*w**4 + h*w**3 - 28*w**2 + 191*w**4 = 0. What is w?
-2, -1/4, 0, 1
Let t be -3 - -6 - (0/1 + -1). Find x, given that 21*x**3 - 21*x**3 + 3*x**5 + 2*x**5 - 10*x**t = 0.
0, 2
Let m be (-5*(-7)/(-70))/((-3)/18). Factor r + 11/2*r**2 + 0 + 5/2*r**m.
r*(r + 2)*(5*r + 1)/2
Let s(k) be the third derivative of -k**7/840 + k**6/160 + k**5/60 - 2*k**2 - 11*k. Factor s(u).
-u**2*(u - 4)*(u + 1)/4
Let d(h) = 748*h - 1496. Let k be d(2). Factor 44/3*s**2 + 140/3*s**3 + 4/3*s + 100/3*s**4 + k.
4*s*(s + 1)*(5*s + 1)**2/3
Let x(h) be the second derivative of h**5/30 - 113*h**4/6 + 12769*h**3/3 - 1442897*h**2/3 + 2*h + 32. Solve x(n) = 0.
113
Suppose 3*c - j = -c - 11, -5*c = 5*j - 5. Let b be 4 + -3 - (c - 0). Suppose 2/3 - 2/3*m**2 + 2/3*m - 2/3*m**b = 0. Calculate m.
-1, 1
Let f(c) be the second derivative of c**6/270 - c**5/108 - 7*c**4/216 + c**3/27 - 33*c**2/2 - 7*c + 5. Let q(y) be the first derivative of f(y). Factor q(p).
(p - 2)*(p + 1)*(4*p - 1)/9
Let a(h) be the first derivative of -h**4/32 - 3*h**3/8 - h**2/2 + 91. Factor a(g).
-g*(g + 1)*(g + 8)/8
Suppose 148*y = 121*y + 1 + 80. Factor 3/2*p**5 + 6*p**4 + 0*p**2 + 0 + 0*p + 6*p**y.
3*p**3*(p + 2)**2/2
Let h(m) be the second derivative of -3/2*m**2 + 0 - 11*m - m**3 - 1/4*m**4. Find k such that h(k) = 0.
-1
Suppose 0 = -4*o + 4*g, 4*g = -2*o - o. Let x(j) = -j**2 + 5. Let k be x(o). Let -2*a**3 + 3*a**k + 5*a**5 + 0*a**5 + 5*a**4 + a**4 = 0. What is a?
-1, 0, 1/4
Suppose 59*m**4 - 16*m - 2*m**2 - 57*m**4 - 28*m**2 - 12*m**3 = 0. What is m?
-1, 0, 8
Let u(q) be the first derivative of q**6/40 - q**4/16 + 5*q + 3. Let z(g) be the first derivative of u(g). Find k, given that z(k) = 0.
-1, 0, 1
Let p(d) be the first derivative of -5*d**4/4 - 65*d**3/3 - 120*d**2 - 180*d - 176. Determine v, given that p(v) = 0.
-6, -1
Factor -1677 + 3525*z - 87 + 3363*z + 751*z**2 + 9*z**3 - 83*z**2 + 7*z**3.
4*(z + 21)**2*(4*z - 1)
Let f(l) = 3*l - 31. Let z be f(11). Factor 27*g**z - 12*g**2 + 4*g - 3*g**4 + 14*g - 6*g**3.
-3*g*(g - 2)*(g + 1)*(g + 3)
Let j(l) be the third derivative of l**8/1120 + l**7/1680 - l**6/240 - l**5/240 - 7*l**3/6 - 4*l**2. Let y(w) be the first derivative of j(w). Factor y(v).
v*(v - 1)*(v + 1)*(3*v + 1)/2
Determine x so that -6*x**2 - 188*x**4 + 214*x**4 - 1 + 7*x**5 + 1 - 9*x**3 + 22*x**3 = 0.
-3, -1, 0, 2/7
Solve -1/5*i**2 + 36/5 - 7*i = 0.
-36, 1
Let a(j) be the third derivative of -j**6/780 - 31*j**5/26 - 24025*j**4/52 - 3723875*j**3/39 + j**2 + 23. Factor a(w).
-2*(w + 155)**3/13
Let l(b) be the first derivative of 1/2*b - 10 + 1/8*b**2 - 1/12*b**3. Determine u so that l(u) = 0.
-1, 2
Suppose 1 = 464*i - 488*i + 49. What is s in -1/2*s**4 - 2*s**3 + 1/2*s**2 + i*s + 0 = 0?
-4, -1, 0, 1
Suppose -2*c + v - 2 = 0, 4*v - 25 + 17 = 4*c. Let n(f) be the first derivative of c*f + 9*f**3 - 21/4*f**4 - 3*f**2 - 3. Factor n(x).
-3*x*(x - 1)*(7*x - 2)
Let g = 36833/30690 - 1/6138. Solve 2/5*h**2 + 0 + g*h = 0 for h.
-3, 0
Let l = 0 + 0. Suppose -16*y + 22 - 8 = -34. Factor -2/5*d**y + 2/5*d + 2/5*d**4 + l - 2/5*d**2.
2*d*(d - 1)**2*(d + 1)/5
Let g be (-4095)/(-2520) + 3/8. Factor 3*f**g + 3/5*f**3 + 9/5*f - 27/5.
3*(f - 1)*(f + 3)**2/5
Let a = -7576 + 60609/8. Suppose 0 - a*x - 1/8*x**3 + 1/4*x**2 = 0. Calculate x.
0, 1
Let c(r) be the second derivative of -5*r**4/9 - 13*r**3/9 - r**2 - 20*r - 6. Factor c(f).
-2*(f + 1)*(10*f + 3)/3
Let l(w) be the first derivative of w**2 - 1/8*w**4 + 0*w**3 - 11 + 0*w. Find j such that l(j) = 0.
-2, 0, 2
Let m = -3441 - -65381/19. Factor -6/19*n - m*n**2 - 4/19.
-2*(n + 1)*(n + 2)/19
Factor -13/6*o**4 - 175/6*o - 125/6 + 1/6*o**5 + 23/3*o**3 + 5/3*o**2.
(o - 5)**3*(o + 1)**2/6
Let a(l) be the third derivative of l**6/120 - l**5/30 - l**4/24 + l**3/3 + l**2 - 69*l. Factor a(r).
(r - 2)*(r - 1)*(r + 1)
Let r(a) be the third derivative of -a**8/168 - 3*a**7/35 - a**6/12 + 5*a**5/6 + a**4/2 - 16*a**3/3 - 441*a**2. Suppose r(o) = 0. Calculate o.
-8, -2, -1, 1
Let u(j) be the first derivative of -j**4/3 - 52*j**3/3 + 80*j**2/3 + 342. Factor u(m).
-4*m*(m - 1)*(m + 40)/3
Let j(h) be the second derivative of -h**5/4 - 5*h**4/4 + 25*h**3/3 - 27*h - 1. Determine r so that j(r) = 0.
-5, 0, 2
Let t(v) be the third derivative of -v**6/240 - v**5/30 + 3*v**4/16 + 3*v**3 + 132*v**2. Factor t(c).
-(c - 3)*(c + 3)*(c + 4)/2
Let x(k) be the first derivative of 5*k**4/4 - 115*k**3/3 + 105*k**2 - 328. Factor x(b).
5*b*(b - 21)*(b - 2)
Determine j so that -1/6*j**4 + 5/6*j**3 - 7/6*j**2 + 1/2*j + 0 = 0.
0, 1, 3
Find u, given that -36*u + 16 - 303*u**2 + 235*u**2 + 7*u**4 - 9*u**3 + 0*u**3 = 0.
-2, -1, 2/7, 4
Let r be 0 + -2*(-2)/4. Let k(x) = x**2 + 10*x + 3. Let i be k(-10). Suppose 11*w**3 + 7 - 32*w**i - r + 21*w - 15*w**4 + 9*w**2 = 0. What is w?
-1, -2/5, 1
Let r(g) = -g**5 + g**4 - g**3 - 1. Let m(i) = 10*i**5 - 43*i**4 - 350*i**3 - 1630*i**2 - 2300*i - 989. Let q(b) = 2*m(b) + 22*r(b). Factor q(w).
-2*(w + 1)**2*(w + 10)**3
Let s(z) = 65*z**2 + 25*z + 65. Let u(c) = 11*c**2 + 4*c + 11. Let n(k) = k + 9. Let y be n(-15). Let f(x) = y*s(x) + 35*u(x). Suppose f(g) = 0. Calculate g.
-1
Let h(f) = 5*f + 56. Let m(q) = -q. Let b(z) = h(z) - 4*m(z). Let r be b(-6). Determine s so that -152/5*s - 686/5*s**4 + 16/5 + 84*s**r - 98/5*s**3 = 0.
-1, 2/7
Let o(g) be the first derivative of 3*g**6/17 - 158*g**5/85 - 63*g**4/17 + 104*g**3/17 + 40*g**2/17 + 197. Determine y, given that o(y) = 0.
-2, -2/9, 0, 1, 10
Let 0*n + 9*n**2 - 3/2*n**3 + 0 = 0. What is n?
0, 6
Let b be 96/27*-3 - -11 - (-43)/15. Factor 8/5 - 22/5*v**2 + b*v + 6/5*v**3.
2*(v - 2)**2*(3*v + 1)/5
Suppose -734*s + 736*s = 0. Let j(f) be the third derivative of 1/9*f**5 - 2/3*f**3 - 1/36*f**4 + 7*f**2 + 0 - 1/60*f**6 + s*f. Suppose j(n) = 0. Calculate n.
-2/3, 1, 3
Solve 0*p - p**4 - 2/3*p**5 + 0*p**3 + 0 + 1/3*p**2 = 0 for p.
-1, 0, 1/2
Suppose 0*f + 2*f = 4*b + 2, -3*b + 2*f - 4 = 0. Suppose 2*d - 7*d - b = -3*j, 2*d = 4. Suppose -2*i**2 - i**3 + i + 3*i**2 + 0*i**4 - i**j = 0. What is i?
-1, 0, 1
Let m = -542/5 - -1279/10. Determine p so that -6 + m*p - 39/2*p**4 + 6*p**5 - 51/2*p**3 + 51/2*p**2 = 0.
-1, 1/4, 1, 4
Let b(c) be the first derivative of 4*c**3/3 + 128*c**2 + 4096*c + 115. Factor b(g).
4*(g + 32)**2
Let n(w) = -2*w**2 - 9*w - 3. Let a be n(-4). What is d in -2 + a + 3*d**2 + 0 - 2 = 0?
-1, 1
Let w(m) be the first derivative of m**4 + 16*m**3/3 - 2*m**2 - 16*m + 273. Factor w(l).
4*(l - 1)*(l + 1)*(l + 4)
Factor -6/7 + 1/7*r + 1/7*r**2.
(r - 2)*(r + 3)/7
Let a be (-4)/(-38)*(-122 - -126). What is s in 8/19 - 2/19*s - a*s**2 + 2/19*s**3 = 0?
-1, 1, 4
Let r = 733/972 - 1/243. Let l = 19/2 - 9. Solve -r*t + 1/4*t**2 + l = 0.
1, 2
Let n(m) = 556*m + 2224. Let x be n(-4). Find i such that -2/7*i**3 + x - 6/7*i**2 + 8/7*i = 0.
-4, 0, 1
Let p(w) = w**2 + 15*w + 20. Let a be p(-14). Let r(m) be the first derivative of 8 - 3/16*m**4 + 3/2*m**3 + a*m - 9/2*m**2. Factor r(s).
-3*(s - 2)**3/4
Let a(g) be the second derivative of g**5/70 + 15*g**4/7 + 900*g**3/7 + 27000*g**2/7 - 14*g. Solve a(d) = 0.
-30
Let p = -5879/7 + 840. Suppose 4/7*t**3 + 2/7*t - p*t**4 - 5/7*t**2 + 0 = 0. Calculate t.
0, 1, 2
Let g be ((-1023)/124)/(14/(-8))*1 - 3. Let 8/7 + 4/7*r**2 + g*r = 0. Calculate r.
-2, -1
Let f(h) be the first derivative of 5*h**4/4 - 35*h**3/3 + 30*h**2 - 628. Factor f(q).
5*q*(q - 4)*(q - 3)
Let r be (3 + 1340/(-108))/(40/(-3)). Let f = r - -2/45. Factor -f*d**2 + 3/4*d**3 + 3/4 - 3/4*d.
3*(d - 1)**2*(d + 1)/4
Let i(b) be the second derivative of b**4/54 - 20*b**3/9 + 100*b**2 + 4*b - 18. Factor i(z).
2*(z - 30)**2/9
Factor -2662/17*s**3 + 128/17 + 2904/17*s**2 - 1056/17*s.
-2*(11*s - 4)**3/17
Let c(g) = 9*g**2 + 187*g - 11. Let j(k) = -3*k**2 - 62*k + 4. Let d(a) = 4*c(a) + 11*j(a). Find f such that d(f) = 0.
-22, 0
Suppose 17 = 7*z - z + b, -3*z - 3*b = -21. Let i(j) be the second derivative of -8*j - 1/4*j**4 + 0*j**z + j**3 + 0. Factor i(g).
-3*g*(g - 2)
Let d(j) be the second derivative of 0*j**4 + 4*j + 0*j**3 + 1/210*j**5 + 0 + 1/420*j**6 + j**2. Let x(y) be the first derivative of d(y). Factor x(k).
2*k**2*(k + 1)/7
Let r(y) be the first derivative o