 - 2)*(k + 1)/9
Let h be 21 - (-187)/99*-11. Let m(d) be the first derivative of -1/9*d**3 + 1/2*d**2 + 1/3*d - 13 + 0*d**5 + h*d**6 - 7/12*d**4. Find o such that m(o) = 0.
-1, -1/2, 1
Let d(u) be the first derivative of -2*u**5/5 - 7*u**4/2 - 10*u**3 - 13*u**2 - 8*u - 2748. Factor d(m).
-2*(m + 1)**3*(m + 4)
Let w(q) be the third derivative of q**7/16380 + 23*q**4/12 - q**3/6 + 58*q**2. Let k(b) be the second derivative of w(b). Factor k(f).
2*f**2/13
Suppose 3*p = -2*t + 53 + 33, 129 = 3*t + 2*p. Let w = -6 + t. Let -17*c**5 - 65*c**5 - 55*c**2 + 10*c + 35*c**4 + 20*c**4 + 35*c**3 + w*c**5 = 0. Calculate c.
-1, 0, 2/9, 1
Let r(k) be the third derivative of 0*k - 4/15*k**6 - 76*k**2 - 16*k**4 - 48*k**3 - 44/15*k**5 + 0 - 1/105*k**7. Suppose r(o) = 0. What is o?
-6, -2
Factor -3219*s**2 + 4703*s - 246*s**2 + 3290*s + 17291*s + 28812 + 3*s**4 + 66*s**3.
3*(s - 14)**2*(s + 1)*(s + 49)
Let b(z) be the first derivative of z**6/330 - 3*z**5/220 + z**4/132 + z**3/22 - z**2/11 + 120*z + 3. Let u(x) be the first derivative of b(x). Factor u(f).
(f - 2)*(f - 1)**2*(f + 1)/11
Suppose -4*c + 0*f = 3*f - 51, -5*c + 87 = -4*f. Factor -10310 + 3*l**3 - c*l - 12*l**2 + 10310.
3*l*(l - 5)*(l + 1)
Let -392*r**2 - 48*r + 674 + 92*r + r**3 - 282 + 3*r**3 - 48*r = 0. What is r?
-1, 1, 98
Let w(v) be the second derivative of v**7/42 - 2*v**6/15 + 3*v**5/20 + 5036*v + 1. Determine k so that w(k) = 0.
0, 1, 3
Let g(t) be the second derivative of -3*t**5/20 - 1005*t**4/4 - 126504*t**3 - 378006*t**2 + 428*t - 6. Solve g(h) = 0.
-502, -1
Suppose -3*d = -8*d + 105. Suppose -16 = q - d. Find n, given that -2942*n**2 - q*n**3 - 5*n**4 + 2942*n**2 = 0.
-1, 0
Let a(q) be the third derivative of -2*q**7/315 + q**6/10 - 8*q**5/45 - 2527*q**2. Find r, given that a(r) = 0.
0, 1, 8
Let r(z) be the first derivative of -13/9*z**2 + 25/18*z**4 + 4/9*z + 20/27*z**3 + 95. Determine g so that r(g) = 0.
-1, 1/5, 2/5
Let d(m) be the third derivative of -103*m**2 + 0*m + 1/20*m**5 - 1 + 0*m**3 - 1/40*m**6 + 0*m**4. Let d(z) = 0. Calculate z.
0, 1
Let q(d) be the first derivative of -35/2*d**4 + 0*d**2 + 0*d + 195 + 245/3*d**3 + d**5. Factor q(m).
5*m**2*(m - 7)**2
Let f be (-9)/(-21) + (-15283)/35154. Let y = f - -73/162. Suppose -2/9*z**5 + y*z**4 + 0 + 0*z**3 + 2/9*z - 4/9*z**2 = 0. Calculate z.
-1, 0, 1
Let v be (-30540)/(-10689) - 22/(-7). Factor -v - 2/9*t**2 - 56/9*t.
-2*(t + 1)*(t + 27)/9
Let m be (-2)/(-52) - (-5724648)/95472. Determine z, given that 4/3*z**2 - 184/3*z + m = 0.
1, 45
Let u be (3/4)/(-3) - (2175/(-140) + 15). Let -96/7*s - u*s**3 + 72/7 + 26/7*s**2 = 0. Calculate s.
1, 6
Let j(n) = 60*n**2 + 4277*n - 9003. Let i(a) = 50*a**2 + 3564*a - 7504. Let u(w) = -19*i(w) + 16*j(w). Factor u(c).
2*(c - 2)*(5*c + 368)
Let g(p) be the second derivative of -10*p**7/21 - 383*p**6/30 - 83*p**5/4 - 4*p**4/3 + 6*p**3 + 2*p - 2409. Let g(a) = 0. Calculate a.
-18, -1, -2/5, 0, 1/4
Let f be (1 - 0)*1 - 1. Let s = 1040385/2 - 520190. Suppose s*y + 1/2*y**2 + f = 0. Calculate y.
-5, 0
Let d(l) be the first derivative of 0*l**3 - 15/4*l**4 + 0*l + l**5 + 88 + 10*l**2. Factor d(c).
5*c*(c - 2)**2*(c + 1)
Suppose 4*t - 28 = -0*t + 4*u, 2 = 2*t + u. Factor -8 - 322*h**2 + 20*h + 4*h**t - 315*h**2 + 621*h**2.
4*(h - 2)*(h - 1)**2
Let l(v) = -v**2 + 280*v - 1100. Let g be l(4). Suppose -3/4*y**3 + y + 0 + 1/4*y**g + 0*y**2 = 0. What is y?
-1, 0, 2
Factor 313*i**2 + 4*i**3 + 168*i - 164*i**2 - 217*i**2.
4*i*(i - 14)*(i - 3)
Suppose 4/3*z**2 + 656/3*z - 220 = 0. What is z?
-165, 1
Let v = 46836 - 140486/3. Suppose -388/15*i**3 - 10 - 2/3*i**5 + 38/5*i**4 + v*i + 108/5*i**2 = 0. Calculate i.
-3/5, 1, 5
Let a(f) be the second derivative of f**5/4 + 15*f**4/2 + 145*f**3/2 + 175*f**2 - 2962*f. Determine r so that a(r) = 0.
-10, -7, -1
Let u(k) = 6*k**2 - 3. Let z be u(2). Let 48 + z*c + 27*c - 12*c**3 + c**4 - 4*c**4 = 0. Calculate c.
-2, 2
Let a be ((-7)/(280/3))/((-112)/26320). Solve -a*g - 18*g**2 - 3/8*g**3 + 0 = 0 for g.
-47, -1, 0
Let j(q) be the second derivative of -14*q - 1/140*q**5 - 3*q**2 + 5/21*q**4 + 0 + 23/42*q**3. What is c in j(c) = 0?
-2, 1, 21
Suppose 34 = y + 4*q, -171*y + 175*y = 7*q - 48. Let o(h) be the first derivative of 2/7*h**y - 5 + 0*h - 1/42*h**4 + 2/63*h**3. Factor o(n).
-2*n*(n - 3)*(n + 2)/21
Let z(i) = -48*i**2 + 292*i - 4. Let h(m) = -46*m**2 + 292*m - 8. Let k(s) = -8*h(s) + 7*z(s). Factor k(a).
4*(a - 9)*(8*a - 1)
Let w(o) be the first derivative of -19/4*o**2 - 1/6*o**3 + 83 - 9*o. Factor w(i).
-(i + 1)*(i + 18)/2
Factor r**2 + 21756 + 302*r - 3*r**3 + 26*r**2 - 41*r + 2259*r.
-3*(r - 37)*(r + 14)**2
Suppose h - 9 = -4*x - 1, 0 = h. Suppose 0 = 17*b - 29 - 56. Factor -4/9*s**b - 8/3*s**3 + 0 + 16/9*s**x - 4/9*s + 16/9*s**4.
-4*s*(s - 1)**4/9
Let a(h) = -19*h + 4. Let w be a(-2). Suppose -7*r = -210 - w. Suppose -r*n + 5*n**4 - 32*n**2 + n**4 + 9*n**3 + 26*n**2 - 24 - 3*n**4 = 0. Calculate n.
-2, -1, 2
Let t = -827/65 - -168/13. Let v(j) be the second derivative of -1/3*j**3 - 1/6*j**4 - t*j**6 + 0*j**2 - 8*j + 1/2*j**5 + 0. Find o, given that v(o) = 0.
-1/3, 0, 1
Solve 800*v - 2/3*v**5 + 0 - 634/3*v**3 + 1840/3*v**2 - 76/3*v**4 = 0 for v.
-20, -1, 0, 3
Let x(a) = -86 + 232 - 74*a + 2*a**2 - 86 + 0*a**2. Let m(u) = 2*u**2 - 72*u + 60. Let c(l) = -6*m(l) + 5*x(l). Factor c(v).
-2*(v - 30)*(v - 1)
Let m(n) be the second derivative of -n**7/399 - 4*n**6/285 - n**5/190 + n**4/19 - 21*n + 25. Determine q so that m(q) = 0.
-3, -2, 0, 1
Let c(u) = 7 + 13*u - 4*u - 7*u. Let j be c(3). Let j*z - 5*z**3 - 4*z - 4*z = 0. What is z?
-1, 0, 1
Suppose -5*c = i - 13, 11 - 1 = 4*c + i. What is z in 2*z**c - 8*z + 25*z**2 + 4*z - 4 - 22*z**2 - z**4 + 0*z**3 = 0?
-1, 2
Let k(v) be the third derivative of 75*v**2 + 2/3*v**3 - 3/4*v**4 + 0 + 7/30*v**5 + 0*v. Factor k(g).
2*(g - 1)*(7*g - 2)
Let h = -449 - -582. Suppose 0 = -h*n + 110*n. Factor -2/11*f**5 + 0 + 2/11*f**3 + n*f - 2/11*f**4 + 2/11*f**2.
-2*f**2*(f - 1)*(f + 1)**2/11
Find z such that -7/10*z**3 - 2 + 11/10*z**4 - 7/2*z**2 + 26/5*z - 1/10*z**5 = 0.
-2, 1, 10
Let o(f) be the second derivative of -2744*f**2 + 4*f + 196*f**3 + 1/10*f**5 - 7*f**4 + 3. Factor o(n).
2*(n - 14)**3
Suppose 4*k - 223 + 211 = 0. Determine r, given that 8*r**k + 2*r**5 + 40*r**2 + 4*r**3 + 1916 - 12*r**4 - 78*r - 1880 = 0.
-2, 1, 3
Let o(v) be the third derivative of -1/28*v**8 - 8*v**3 - 4*v**4 + 2*v - 11/5*v**6 + 26/5*v**5 + 0 - 15*v**2 + 31/70*v**7. Factor o(l).
-3*(l - 2)**4*(4*l + 1)
Suppose 4*t - 238 = 206. Let o = 126 - t. Let -22*j**2 - 16*j**3 - 16*j - 10*j**3 + 8 + 35*j**3 - o*j**3 = 0. What is j?
-2, 1/3
Let j = -181 + 185. Factor -108*p - 501 - j*p**2 + 501.
-4*p*(p + 27)
Let g(h) be the first derivative of 0*h - 20/33*h**3 + 109 + 16/11*h**2 + 1/22*h**4. Factor g(i).
2*i*(i - 8)*(i - 2)/11
Let i(l) be the second derivative of -20*l + 0*l**2 + 1/24*l**4 - 11/12*l**3 - 4. Factor i(o).
o*(o - 11)/2
Factor 1/2*b**5 + 0*b**2 + 0*b**3 - 335/2*b**4 + 0*b + 0.
b**4*(b - 335)/2
Solve 28/5*q**2 + 8/5*q**4 + 0 + 23/5*q**3 + 12/5*q + 1/5*q**5 = 0.
-3, -2, -1, 0
Suppose 47*q - 40 = -31 - 9. Solve q - 2/3*u**2 - 2*u = 0.
-3, 0
Suppose 0 = -105*z + 104*z + 84*z. Solve -1/4*i**4 + z + 1/4*i**2 + 5/4*i**3 - 5/4*i = 0.
-1, 0, 1, 5
Let f(y) be the third derivative of -y**7/140 - 517*y**6/8 - 6677053*y**5/40 + 3342405*y**4/4 - 1671849*y**3 - 6*y**2 - 37*y + 2. Factor f(s).
-3*(s - 1)**2*(s + 2586)**2/2
Let m(a) be the first derivative of a**5/5 + a**4 - 20*a**3/3 - 54*a - 88. Let x(o) be the first derivative of m(o). Suppose x(v) = 0. Calculate v.
-5, 0, 2
Find x such that 0 - 609/2*x**2 - 294*x - 27*x**3 + 243/8*x**4 = 0.
-14/9, 0, 4
Let h(o) be the third derivative of -2*o**7/315 + 179*o**6/540 - 52*o**5/45 + 37*o**4/36 + 28*o**3/27 + 329*o**2. What is t in h(t) = 0?
-1/6, 1, 28
What is q in -4/11*q**3 - 2/11*q**4 + 36/11*q + 16/11*q**2 + 18/11 = 0?
-3, -1, 3
Let l(g) be the first derivative of -2*g**3/27 - 232*g**2/3 - 1390*g/9 + 9684. Factor l(u).
-2*(u + 1)*(u + 695)/9
Let k(x) be the second derivative of 1/1080*x**6 + 13*x + 0 - 1/15*x**5 + 2*x**4 + 19/6*x**3 + 0*x**2. Let p(b) be the second derivative of k(b). Factor p(r).
(r - 12)**2/3
Let q(g) be the first derivative of 4*g**5/25 + g**4/10 - 4*g**3/5 + g**2/5 + 4*g/5 - 1998. Suppose q(o) = 