*2 + 7*m. Factor a(g).
-2*g*(g - 2)*(g + 3)/9
Let a(s) be the first derivative of s**6/1440 - s**4/24 + 35*s**3/3 - 10. Let y(x) be the third derivative of a(x). Find o such that y(o) = 0.
-2, 2
Suppose 4*h = 4, h - 51 = 2*r - 2*h. Let w be (3/(-16))/(18/r). Suppose 0 + w*d + 1/2*d**2 + 1/4*d**3 = 0. Calculate d.
-1, 0
Let h be ((-16)/(-64))/(5/40). Suppose 0 + b - 1/2*b**h - 1/2*b**3 = 0. Calculate b.
-2, 0, 1
Suppose 42/5 + 2/5*z**2 - 44/5*z = 0. Calculate z.
1, 21
Factor -4*p - 10*p**3 + 0 - 34/3*p**2 + 2/3*p**5 - 2*p**4.
2*p*(p - 6)*(p + 1)**3/3
Suppose 36*x - 41*x + 10 = 0. Let m be (9/(-8))/((-4)/((-16)/(-3))). What is k in 0*k**x - 1/2*k**3 + m*k - 1 = 0?
-2, 1
Let b(h) be the first derivative of 3*h**5/5 - 24*h**4 + 312*h**3 - 1344*h**2 + 2352*h + 109. Factor b(m).
3*(m - 14)**2*(m - 2)**2
Let j(b) be the second derivative of -b**7/14 - 13*b**6/20 - 9*b**5/5 - b**4/8 + 7*b**3 + 9*b**2 - 15*b + 5. Determine c, given that j(c) = 0.
-3, -2, -1/2, 1
Let 650*p**2 + 135*p**3 - 124*p**2 + 20*p - 15*p**5 - 164*p - 72*p**4 + 170*p**2 = 0. Calculate p.
-4, 0, 1/5, 3
Let w(y) be the second derivative of -y**4/18 + 3*y**2 + 206*y. Factor w(u).
-2*(u - 3)*(u + 3)/3
Let q(k) be the first derivative of k**4/4 - k**3/3 - k**2 - 136. Find b such that q(b) = 0.
-1, 0, 2
Let c(q) be the third derivative of -q**5/300 + 19*q**4/60 - 361*q**3/30 - 573*q**2. Find j, given that c(j) = 0.
19
Let y = 169 - 2023/12. Let p(k) be the first derivative of y*k**2 + 1/3*k + 2 + 1/6*k**3. Factor p(n).
(n + 1)*(3*n + 2)/6
Let s(t) be the second derivative of 845*t**5/8 - 3965*t**4/24 - 64*t**3/3 - t**2 - 11*t + 2. Factor s(c).
(c - 1)*(65*c + 2)**2/2
Let q be 12/40*4 + ((-2)/2 - -1). Determine r so that -12/5*r - 1/5*r**3 - q*r**2 - 8/5 = 0.
-2
Let p(v) be the third derivative of 1/130*v**5 - 1/156*v**4 + 0*v + 0*v**3 + 0 + 15*v**2. Factor p(i).
2*i*(3*i - 1)/13
Let b = -8986 + 8986. Find p such that -3/2*p**3 + 0 + b*p + 1/2*p**5 + 0*p**2 - p**4 = 0.
-1, 0, 3
Let y(v) be the first derivative of 26 - 9/16*v**2 + 0*v - 1/8*v**3. Solve y(u) = 0 for u.
-3, 0
Let b be 2/8*-36 + 11. Factor -7/4*g**b + 1 + 3/4*g**3 + 0*g.
(g - 2)*(g - 1)*(3*g + 2)/4
Let i(t) be the first derivative of -8 + 3/16*t**4 + 6*t + 9/2*t**2 + 3/2*t**3. Factor i(r).
3*(r + 2)**3/4
Let h = -12 - -3. Let r = h + 11. Factor -18 + 11*b**r - 2*b + 4*b**2 + 34*b + 7*b.
3*(b + 3)*(5*b - 2)
Let h = 4265/16 + -12779/48. Suppose -h*v**5 + 0 + 0*v**2 + 0*v + 0*v**3 + 1/3*v**4 = 0. What is v?
0, 1
Let g(h) be the third derivative of 1/42*h**7 + 17*h**2 - 5/6*h**4 + 5/2*h**3 - 1/3*h**5 + 0 - 5/168*h**8 + 0*h + 1/4*h**6. Let g(n) = 0. What is n?
-3/2, -1, 1
Let a(f) be the first derivative of f**5/10 - 13*f**4/4 - 110. Determine h so that a(h) = 0.
0, 26
Let z(p) be the third derivative of -1/120*p**5 + 0*p + 1/1440*p**6 + 1/32*p**4 + 3/2*p**3 + 0 + 3*p**2. Let q(x) be the first derivative of z(x). Factor q(f).
(f - 3)*(f - 1)/4
Let k(s) be the third derivative of s**7/42 - 5*s**6/12 - 11*s**5/12 - 2*s**2 + 63*s. Determine b, given that k(b) = 0.
-1, 0, 11
Let t = -24 - -32. Suppose 0 = -5*h + t + 2. Find l such that -7*l**4 + 2*l**4 + 5*l**5 + 4*l**2 - 8*l**3 + l**h + 3*l**3 = 0.
-1, 0, 1
Let y(d) be the first derivative of 5*d**6/2 + 12*d**5/5 - 3*d**4/4 - 320. Solve y(t) = 0.
-1, 0, 1/5
Let g be (-6)/8 + 9*7/84. Factor 0*c**3 + 2/9*c**5 + g - 2/3*c**4 + 0*c**2 + 0*c.
2*c**4*(c - 3)/9
Let t(n) = -n**3 - 8*n**2 + 78*n + 363. Let c be t(-12). Determine q, given that -9/7*q**2 - 1/7*q**4 - 2/7 - q - 5/7*q**c = 0.
-2, -1
Let u(b) be the second derivative of -5*b + 0 + 0*b**3 + 1/6*b**2 - 1/36*b**4. Determine y, given that u(y) = 0.
-1, 1
Let n(v) be the first derivative of 3 + 1/30*v**5 + 0*v**3 + 1/12*v**4 + 0*v - v**2. Let d(c) be the second derivative of n(c). Factor d(b).
2*b*(b + 1)
Let g(q) be the first derivative of q**8/3920 - q**7/490 - q**6/840 + q**5/70 - 11*q**3/3 + 17. Let i(y) be the third derivative of g(y). Factor i(k).
3*k*(k - 4)*(k - 1)*(k + 1)/7
Let g(c) be the third derivative of -2/3*c**3 + 0 - 10*c**2 + 0*c - 7/24*c**4 - 1/20*c**5. Determine p so that g(p) = 0.
-4/3, -1
Determine s, given that -6*s**2 - 2105*s + 120 + 2057*s + 3*s**3 - 24 = 0.
-4, 2, 4
Let w be 94021/80509 - (-1)/(-13). Find v such that 0 - 2/11*v**4 - w*v - 2*v**2 - 12/11*v**3 = 0.
-3, -2, -1, 0
Let x(j) be the first derivative of j**6/6 - 3*j**4/4 + 2*j**3/3 + 99. Factor x(d).
d**2*(d - 1)**2*(d + 2)
Suppose 6*x - 21 = 4*x - 5*t, 0 = 5*x - 5*t. Find l, given that 14*l - 10*l**4 - 5 - 4*l + 15*l**4 - 10*l**x = 0.
-1, 1
Let p be -6*(-1)/(-3)*-1. Suppose p*y + 2*y - 5*g - 58 = 0, -10 = 5*g. Let -5*q**2 - 2*q**2 + y*q + 4*q**3 - 4 - 8*q**2 + 3*q**2 = 0. What is q?
1
Suppose 0 = -k - j - 1, 0 = 4*j + j + 25. Solve -83*t + 99*t - 2 + 15*t**4 + 17*t**k - 16*t**3 - 30*t**2 = 0.
-1, 1/4, 1
Find t such that -4/3*t - 14/3*t**4 + 8*t**3 + 0 - 2*t**2 = 0.
-2/7, 0, 1
Suppose 4*s + 5*u = -53, -3*s = 2*s + 2*u + 62. Let c be 12/(-2)*6/s. Let -2*g**2 - c*g + 0*g**2 - g**3 + 2*g = 0. Calculate g.
-1, 0
Suppose 26*h = -44 + 122. Let d = -3/22 + 39/44. Factor 3/4*s**h + 1/2 - 1/4*s**4 - 1/4*s**2 - d*s.
-(s - 2)*(s - 1)**2*(s + 1)/4
Let h(x) be the second derivative of -x**7/5880 + x**5/280 + x**4/84 + x**3 - 5*x. Let v(j) be the second derivative of h(j). Suppose v(k) = 0. What is k?
-1, 2
Let f(o) = o + 5. Let q be f(-2). Suppose -3*r = -3*y, -q*y + 2*r - 12 = -5*y. Solve -3*c**y + 12 - 5*c + 7*c**3 - 2 + c**3 - 10*c**2 = 0 for c.
-1, 1, 2
Let g = -238 - -250. Factor -64/3*m**2 + 20*m**4 + 32/3*m**3 + 0*m + 0 - g*m**5.
-4*m**2*(m + 1)*(3*m - 4)**2/3
Let a(o) = -3*o**2 + 22*o + 42. Let n(v) = v**2 - 7*v - 14. Let f(k) = -4*a(k) - 14*n(k). Factor f(z).
-2*(z - 7)*(z + 2)
Let b(k) = 18*k - 24. Let w be b(2). Let y(a) = -2*a**2 + 24*a + 4. Let i be y(w). What is l in 17/9*l**i - 4/3*l**5 + 0*l + 0 - 1/3*l**3 - 2/9*l**2 = 0?
-1/4, 0, 2/3, 1
Suppose 6*x = 2*x. Let u = 1179/460 - 266/115. Factor 0*z**2 + 0*z - u*z**3 + x + 1/2*z**4 - 1/4*z**5.
-z**3*(z - 1)**2/4
Solve -4/13*h**3 + 2/13*h - 8/13*h**2 + 4/13 + 4/13*h**4 + 2/13*h**5 = 0 for h.
-2, -1, 1
Determine v, given that -2*v**4 - 4218*v + 1402*v + 35*v**4 + 484 + 3*v**4 + 768*v**3 + 3832*v**2 = 0.
-11, 1/3
Let h be (-3 - 9)*3/6. Let z = 8 + h. Solve 3*p**z - 9*p - 25 + 28 + 6*p**2 - 3*p**3 = 0 for p.
1
Let g(k) be the first derivative of k**6/135 - k**4/18 + 2*k**3/27 + 8*k - 6. Let i(c) be the first derivative of g(c). Let i(r) = 0. What is r?
-2, 0, 1
Suppose -4*a = a + 2*u - 14, 3*a = -u + 8. Find d such that -6912 - 144*d**a - 163*d + 522*d + 1369*d + 4*d**3 = 0.
12
Let z be 39/6 + (-3)/2. Find x such that x**4 + 12*x + z*x**4 - 5 + 1 - x**5 + 2*x**2 - 4 - 11*x**3 = 0.
-1, 1, 2
Find f, given that -2/5*f**3 + 0*f + 4*f**2 + 0 = 0.
0, 10
Let k be (-15 - (-4494)/308)/(6/(-8) - 0). Factor 16/11 + k*l**2 + 28/11*l.
2*(l + 4)*(3*l + 2)/11
Let j(o) be the third derivative of -o**5/75 + 7*o**4/15 - 98*o**3/15 - o**2 + 97*o. Suppose j(f) = 0. What is f?
7
Let j = 169 - 50. Suppose 0 = -5*n + 5*d - 2*d + j, 3*d = -5*n + 101. Find h such that -18 - 2*h**2 - 8*h**3 - n + 8*h + 42 = 0.
-1, -1/4, 1
Let v be 62/310*(-1 - (-9)/3). Factor 0 - v*k + 2/5*k**2.
2*k*(k - 1)/5
Let v(c) be the second derivative of 10/3*c**3 + 0 - 4/3*c**4 - 4*c**2 + 1/5*c**5 + 7*c. Suppose v(l) = 0. Calculate l.
1, 2
Factor -39*f + 1388 + 12*f**2 + 1345 - f**3 - 2705.
-(f - 7)*(f - 4)*(f - 1)
Suppose -4*o + 109 = -3*o. What is y in o*y**2 + 3 - 105*y**2 - 19 = 0?
-2, 2
Let z(q) be the first derivative of q**6/4 + 2*q**5/5 - q**4/8 - q**3/3 - 5. Factor z(n).
n**2*(n + 1)**2*(3*n - 2)/2
Let p = 16 - 8. Let v be (p/40)/(1/5). Factor 215*o - 9*o**2 + 3*o**3 + 1 - v - 209*o.
3*o*(o - 2)*(o - 1)
Let x(n) be the first derivative of 2*n**3/33 - 10*n**2 + 218*n/11 - 684. Factor x(b).
2*(b - 109)*(b - 1)/11
Suppose 7*p = 3*p. Suppose p = -3*i - 0*i + 9. Factor 4*v**2 + 3 - 9 - i + 1 + 4*v.
4*(v - 1)*(v + 2)
Let r(j) = 22*j**3 - 68*j**2 + 114*j + 120. Let o(s) = 8*s**3 - 23*s**2 + 39*s + 40. Let a(w) = 14*o(w) - 5*r(w). Let a(d) = 0. What is d?
-10, -1, 2
Let q(y) be the second derivative of y**6/40 - 3*y**5/20 + y**4/4 - 4*y**2 - 3*y. Let a(t) be the first derivative of q(t). Let a(f) = 0. Calculate f.
0, 1, 2
Let y(r) = r**3 + 12*r**2 +