n -4/9*p**2 - 4/9 + 14/9*p - 2/3*p**3 = 0?
-2, 1/3, 1
Let o(l) be the first derivative of 4*l**5/5 - 20*l**4 + 400*l**3/3 + 146. Let o(z) = 0. What is z?
0, 10
Let n(j) be the second derivative of -1/15*j**6 + 1/6*j**4 + 0*j**2 + 1/5*j**5 + 0 - 2/3*j**3 - 20*j. Factor n(v).
-2*v*(v - 2)*(v - 1)*(v + 1)
Let a(q) be the first derivative of q**3/27 + 13*q**2/18 + 4*q/3 - 43. Suppose a(n) = 0. Calculate n.
-12, -1
Let d(i) be the first derivative of i**5/20 - 5*i**4/4 + 136. Let d(z) = 0. Calculate z.
0, 20
Suppose 5*k + 3*i = 4, 214*k - 212*k - 4*i - 12 = 0. Let o(h) be the second derivative of 5*h + 7/20*h**4 + 0 + 6/5*h**k + 8/5*h**3. Let o(q) = 0. Calculate q.
-2, -2/7
Factor -781*d + 177*d - 3844 - 36*d**2 - 140*d.
-4*(3*d + 31)**2
Suppose -5*n + 47 = -m, 6*n - 3*n - 17 = -5*m. Suppose n = 4*a + 1. Factor 6*o**3 + 5*o**2 + 2*o**4 - 7*o**2 + 5*o**a - o**2 - 4 - 6*o.
2*(o - 1)*(o + 1)**2*(o + 2)
Find k, given that -21*k**2 - 19*k**3 - 8*k**2 - 12*k + 10*k**3 - 19*k**2 + 48*k**4 + 21*k**5 = 0.
-2, -1, -2/7, 0, 1
Let k(v) be the first derivative of 6/35*v**5 - 5 + 0*v**2 - 1/21*v**6 + 0*v - 3/14*v**4 + 2/21*v**3. Factor k(l).
-2*l**2*(l - 1)**3/7
Suppose 0 = -8*a + 29 + 3. Let t(z) be the third derivative of 0 - 1/9*z**3 + 1/90*z**5 + 3*z**2 + 1/36*z**a + 0*z - 1/180*z**6. Factor t(i).
-2*(i - 1)**2*(i + 1)/3
Let a(k) be the second derivative of -k**4/6 + 7*k**3/18 - k**2/3 - k - 62. Find l such that a(l) = 0.
1/2, 2/3
Let a(o) be the first derivative of 8/45*o**3 + 0*o - 8/15*o**2 - 12 + 1/45*o**6 + 1/5*o**4 - 2/15*o**5. Factor a(c).
2*c*(c - 2)**3*(c + 1)/15
Let w(z) = -7*z**4 + 114*z**3 + 297*z**2 + 238*z + 60. Let h(l) = -l**4 + l**2 - l. Let a(v) = -2*h(v) - w(v). Factor a(m).
(m - 15)*(m + 1)*(3*m + 2)**2
Let o(k) be the third derivative of -k**7/3780 + k**6/540 - 5*k**4/12 - 5*k**2. Let b(m) be the second derivative of o(m). Factor b(f).
-2*f*(f - 2)/3
Let n(v) be the second derivative of -v**4/3 - 7*v**3/3 + 19*v**2 + 21*v. Let k(t) = -4*t**2 - 15*t + 37. Let r(l) = -2*k(l) + 3*n(l). Factor r(z).
-4*(z - 2)*(z + 5)
Let u(o) = o - 1. Let l(a) = -15*a**2 - 34*a + 25. Let i(g) = l(g) - 2*u(g). Suppose i(x) = 0. Calculate x.
-3, 3/5
Suppose 18 - 108 = -15*z. Let x(u) be the second derivative of 0*u**2 - 5/63*u**7 - 6*u + 1/6*u**5 - 2/45*u**z + 0 + 0*u**3 + 1/9*u**4. Let x(d) = 0. What is d?
-1, -2/5, 0, 1
Let o(a) be the second derivative of a**5/40 - a**4/3 + 13*a**3/12 - 3*a**2/2 - 11*a + 9. Factor o(j).
(j - 6)*(j - 1)**2/2
Suppose 2*t + 5*n - 5 = -0*n, 5*t = -2*n + 23. Let b be (-2)/4 - (-27)/2. Factor 882*o**4 - 777*o**3 + 0 - 252*o - 858*o**2 - b + 6 - 17 + 1029*o**t.
3*(o - 1)*(o + 1)*(7*o + 2)**3
Let b = -1682863/9 + 186790. Let l = b + 195. Suppose -l*g**2 + 0 + 4/9*g = 0. What is g?
0, 2
Factor 1/2*t**3 - 1/2*t**4 + 2*t**2 + 0 - 2*t.
-t*(t - 2)*(t - 1)*(t + 2)/2
Suppose 3*l = 136*u - 135*u + 9, 2*l - 20 = -4*u. Let -1/2 + 1/2*i**u + 1/2*i**2 - 1/2*i = 0. What is i?
-1, 1
Let y = 26 + 13. Factor -507/4*x**2 + y*x - 3.
-3*(13*x - 2)**2/4
Suppose -5*o + 18 = v, -3*o - 3*v = 45 - 51. Let y(l) be the first derivative of -16*l + 1/16*l**o - l**3 + 13 + 6*l**2. Suppose y(x) = 0. Calculate x.
4
Let x(i) be the second derivative of -11*i**5/60 - 5*i**4/4 - 37*i**3/18 - i**2/2 + 194*i. Factor x(z).
-(z + 1)*(z + 3)*(11*z + 1)/3
Let j be 9/(-24) + 15*24/320. Factor j*f**3 - 3/4*f**2 + 0 - 3/4*f + 3/4*f**4.
3*f*(f - 1)*(f + 1)**2/4
Let v(f) be the third derivative of -f**6/30 - 13*f**5/15 + 7*f**4/3 - 17*f**2. Factor v(s).
-4*s*(s - 1)*(s + 14)
Let t(r) = r**5 + r + 1. Let v(d) = 2*d**5 + 4*d**3 + 6*d + 6. Let j = -18 + 24. Let m(c) = j*t(c) - v(c). Suppose m(z) = 0. Calculate z.
-1, 0, 1
Let j(a) be the first derivative of -8/9*a - 11/9*a**4 + 28 - 20/9*a**2 - 2/9*a**5 - 22/9*a**3. Solve j(o) = 0.
-2, -1, -2/5
Let o(y) be the first derivative of -1/3*y**3 + 0*y - 38 + 1/6*y**6 + 0*y**2 + 1/5*y**5 - 1/4*y**4. Determine w so that o(w) = 0.
-1, 0, 1
Let a be ((-668)/(-501))/((-3)/(-72)). Suppose -14 - 2/7*o**4 + 32/7*o**3 - 156/7*o**2 + a*o = 0. Calculate o.
1, 7
Suppose 3*h - s = 11, 0 = -3*h - s + 4 + 3. Let -245*x - 1 + 197*x - 3*x**4 - 60*x**2 + 1 - 24*x**h = 0. Calculate x.
-4, -2, 0
Let b(l) be the second derivative of l**7/70 - l**6/5 + 27*l**5/25 - 27*l**4/10 + 27*l**3/10 + 17*l. Determine u, given that b(u) = 0.
0, 1, 3
Let y(v) be the first derivative of -v**4/22 - 52*v**3/33 - 192*v**2/11 - 576*v/11 - 72. Determine o so that y(o) = 0.
-12, -2
Let v(j) be the second derivative of 3*j**5/80 + j**4/4 + j**3/8 - 9*j**2/4 - 207*j. Suppose v(x) = 0. What is x?
-3, -2, 1
Let q(r) be the first derivative of 5*r**4/16 + 85*r**3/12 - 141. Factor q(m).
5*m**2*(m + 17)/4
Let l(a) = -2*a + 3. Let p be l(-4). Let o(k) = k**2 - 12*k + 14. Let v be o(p). Factor 4*q - 3*q**3 + 5*q**v + 40*q**2 - 34*q**2.
2*q*(q + 1)*(q + 2)
Let p(x) = 3*x**3 - 2*x + 1. Let k be p(1). Factor -1/7*a**k + 0 + 0*a - 1/7*a**3.
-a**2*(a + 1)/7
Let x = -7659 - -15611/2. Let v = x - 145. Determine m, given that -m**3 - 1/4*m**4 - m - 1/4 - v*m**2 = 0.
-1
Suppose 2*k + 15 - 2 = -3*x, -5*x = 2*k + 7. Let q = 16 + k. Factor -a**3 - 3*a**5 + 2*a**2 - q*a**4 - a**2 + 4*a**3 - 4*a**3.
-a**2*(a + 1)**2*(3*a - 1)
Let z(v) be the second derivative of v**7/5460 - v**6/2340 + 13*v**3/6 + v. Let y(r) be the second derivative of z(r). Let y(u) = 0. Calculate u.
0, 1
Let g be 105/(-30) + -4 + 21. Factor -15/2*r**3 + 3 + 3/2*r**4 - 21/2*r + g*r**2.
3*(r - 2)*(r - 1)**3/2
Let c(o) be the first derivative of -o**6/540 - o**5/135 - o**4/108 + o**2/2 + 9. Let h(t) be the second derivative of c(t). Factor h(w).
-2*w*(w + 1)**2/9
Let z(q) be the second derivative of 6*q + 0 - 2/5*q**2 + 1/5*q**3 + 1/75*q**6 - 3/50*q**5 + 1/30*q**4. What is i in z(i) = 0?
-1, 1, 2
Let z(i) be the first derivative of -i**4 + 8*i**3 - 27. Solve z(o) = 0 for o.
0, 6
Let 0*g - 168/5*g**5 + 0 + 12/5*g**2 + 81*g**4 - 144/5*g**3 = 0. What is g?
0, 1/8, 2/7, 2
Let y = -18 + 19. Determine u, given that 4*u**2 - y + 4 - 8*u + 1 = 0.
1
Let u(o) = -o**2 - 22*o - 100. Let v(p) = p**2 + 23*p + 100. Let j(s) = s**2 - 6*s - 3. Let x be j(6). Let n(b) = x*u(b) - 2*v(b). Factor n(a).
(a + 10)**2
Factor 0*w + 4/3*w**4 + 7/6*w**3 + 1/6*w**5 + 0*w**2 + 0.
w**3*(w + 1)*(w + 7)/6
Let s be (2/6)/((-4)/(-12)). Let a be 5*s/(-5)*-3. Factor 5*q - q - a*q + q**2 + 0*q.
q*(q + 1)
Let p(n) be the first derivative of -n**6/15 - n**5/10 + n**4 + 4*n**3/3 - 8*n**2 + 9*n + 15. Let f(v) be the first derivative of p(v). Factor f(m).
-2*(m - 2)*(m - 1)*(m + 2)**2
Suppose d = -7 + 2. Let j = -3 - d. Factor 2*c - 2*c - 4*c**3 + j*c**4 + 2*c**2.
2*c**2*(c - 1)**2
Determine n so that 8*n**2 - 539*n + 16*n**3 + 259*n + 268*n - 4*n**5 - 10 + 2 = 0.
-1, 1, 2
Let f be (-11)/(-7) - (40/(-28) - -1). Let l(z) be the first derivative of 4 - 2/3*z - 2/9*z**3 + 2/3*z**f. Factor l(k).
-2*(k - 1)**2/3
Suppose 11*g = -8*g + 44 + 32. Factor 0 + 2*q**3 - 1/2*q - 1/4*q**2 - 5/4*q**g.
-q*(q - 1)**2*(5*q + 2)/4
Let p be -26 - 17 - 4/2. Let w be (144/p)/(2 - 4 - 0). Determine i, given that 0 + 0*i + 2/5*i**4 - w*i**3 + 8/5*i**2 = 0.
0, 2
Let 82/3*f + 54*f**2 + 0 + 26*f**3 - 2/3*f**4 = 0. What is f?
-1, 0, 41
Suppose 145*l + 77 - 367 = 0. Solve -2*t + 3/2 + 1/2*t**l = 0 for t.
1, 3
Factor -4*f**3 - 192/5*f + 112/5*f**2 + 1/5*f**4 + 0.
f*(f - 12)*(f - 4)**2/5
Let h = 163/144 - 11/16. Suppose 3*u + u = 4*t - 24, -3*t + u = -16. Let 2/9*k**4 + 0 - 2/9*k**2 - 10/9*k**3 + 2/3*k**t + h*k = 0. Calculate k.
-1, 0, 2/3, 1
Let j be -4 + 0 + 0 + (-77 - -84). Determine u so that 0 + 0*u + 0*u**2 - 3/5*u**5 - 3/5*u**j + 6/5*u**4 = 0.
0, 1
Find g such that -226*g + 109*g + 158*g + 59*g - 2*g**2 = 0.
0, 50
Let r = 5 - -4. Let s = -5 + r. Factor 3 + 2*k**2 + 10*k - s + 9.
2*(k + 1)*(k + 4)
Let k(t) = 5*t**2 - 2*t - 1. Let n(w) = -64*w**2 + 1088*w - 70744. Let f(z) = -12*k(z) - n(z). Factor f(q).
4*(q - 133)**2
Suppose -142*s + 645 = -65. Determine g so that 0*g + 0 - 39/2*g**4 - 3*g**2 + 6*g**s + 33/2*g**3 = 0.
0, 1/4, 1, 2
Let h be ((-1)/(-32)*8)/(7 - 6). Factor n**2 - h*n**3 - 5/4*n + 1/2.
-(n - 2)*(n - 1)**2/4
Let m(t) be the second derivative of t**7/1050 + t**6/300 + t**5/300 - 2*t**2 + 6*t. Let r(z) be the first derivative of m(z). Determine x, given that r(x) = 0.
-1, 0
Let f = 