2/5*o = 0. Calculate o.
-1
Let r(c) = -3*c**3 + 14*c**2 - 9*c - 26. Let m(w) = -7*w**3 + 29*w**2 - 17*w - 53. Let v(l) = 4*m(l) - 9*r(l). Solve v(q) = 0.
-11, -1, 2
Determine n so that -68/5*n - 24 + 68/5*n**3 + 4/5*n**4 + 116/5*n**2 = 0.
-15, -2, -1, 1
Let m(q) be the second derivative of q**9/2352 - q**8/392 + q**7/490 + q**6/105 + 2*q**3/3 + 34*q. Let o(x) be the second derivative of m(x). Factor o(r).
3*r**2*(r - 2)**2*(3*r + 2)/7
Solve -7/4*p**2 + 3 - 1/4*p**3 - p = 0 for p.
-6, -2, 1
Let n(m) be the third derivative of 5*m**8/336 - 5*m**7/42 + m**6/4 + m**5/6 - 35*m**4/24 + 5*m**3/2 + 2*m**2 + 6*m. Factor n(o).
5*(o - 3)*(o - 1)**3*(o + 1)
Let s be -3*(-956)/(-24) + 4. Let x = -111 - s. Let 3 - 3/2*q**3 - x*q**2 + 3/2*q + 3/2*q**4 = 0. Calculate q.
-1, 1, 2
Let z(y) = 3*y**2 - 6*y + 3. Let g = 71 + -77. Let k(q) be the second derivative of -q**4/12 + q**3/6 - q. Let b(d) = g*k(d) - 3*z(d). Factor b(r).
-3*(r - 3)*(r - 1)
Let v = -5/914 - -16507/10054. Solve 6/11*w**2 - v - 12/11*w = 0 for w.
-1, 3
Let y be 106*(-2)/(-2)*(-106)/(-4). Solve 87*i + 21*i + 2806*i**2 - 932 - 40 - y*i**2 = 0 for i.
18
Let a be -3*(-4)/40*1590/756. Let q = a + -8/21. Suppose 1/8*v**4 - q*v + 0 - 3/8*v**3 - 5/8*v**2 + 1/8*v**5 = 0. What is v?
-1, 0, 2
Let 28476*j**2 + 17*j**4 - 12*j**3 - 17*j**4 + 4*j**5 - 28484*j**2 = 0. Calculate j.
-1, 0, 2
Let v(w) be the second derivative of w**5/60 - 2*w**3/3 + 8*w**2/3 - 12*w. Factor v(g).
(g - 2)**2*(g + 4)/3
Let c = -24 - -24. Factor 41*q**2 - 43*q**2 + 0*q**3 + q**4 + c*q**3 + 1.
(q - 1)**2*(q + 1)**2
Let s = -773 + 773. Let l(d) be the first derivative of 5 + s*d - d**3 - 3/2*d**2. Determine q, given that l(q) = 0.
-1, 0
Let w(q) = -5*q**4 - 53*q**3 - 68*q**2 + 117*q - 3. Let t(g) = g**3 + g**2 + g + 1. Let r(d) = -3*t(d) - w(d). Determine k so that r(k) = 0.
-8, -3, 0, 1
Factor 280 - 4848*c - c**2 + 5124*c - 2*c**2 - c**2.
-4*(c - 70)*(c + 1)
Let n(s) = -44*s**4 - 108*s**3 + 432*s**2 - 16. Let u(j) = 14*j**4 + 36*j**3 - 144*j**2 + 5. Let r(m) = -5*n(m) - 16*u(m). Factor r(a).
-4*a**2*(a - 3)*(a + 12)
Let a(s) be the second derivative of 3*s**5/100 - 33*s**4/20 + 363*s**3/10 - 3993*s**2/10 - 118*s. Solve a(d) = 0.
11
Suppose 66*q - 68*q = 0. Factor -9*p**4 + p**5 + 6*p**2 + 3 + q*p**3 + 9*p + 0*p**2 - 4*p**5 - 6*p**3.
-3*(p - 1)*(p + 1)**4
Factor -3/5*l**3 + 15*l**2 + 0 + 0*l.
-3*l**2*(l - 25)/5
Suppose l - 9 = -2*l. Suppose -3*u = -109 + 100. Solve -2*j**l + 3*j**u - j + j**3 - 3*j**5 + 2*j**5 = 0.
-1, 0, 1
Factor -774/7 - 15/7*w**2 - 1941/7*w.
-3*(w + 129)*(5*w + 2)/7
Factor -33*m**3 - 2 - 726*m**2 - 41*m**3 - 132*m - 1257*m**3 - 6.
-(11*m + 2)**3
Let y = -20/3 + 8. Find d such that 2/3*d + 4/3 - 10/3*d**2 + y*d**3 = 0.
-1/2, 1, 2
Suppose -x = -2*f - 2, 2*f + 0 = -2. Suppose x = 2*y + y. Let -4*w + 3*w**2 + 10*w + 0*w**2 + y*w**2 = 0. Calculate w.
-2, 0
Let i(j) be the third derivative of -j**11/831600 + j**10/378000 + 13*j**5/60 + 17*j**2. Let a(h) be the third derivative of i(h). What is d in a(d) = 0?
0, 1
Let o be (-3890)/(-25) - 10/(-25). Let n = o + -150. Factor 3/2*j**2 + n - 15/2*j.
3*(j - 4)*(j - 1)/2
Let t(p) = -p**2 - 15*p - 105. Let l(v) = v**2 + 14*v + 106. Let f(y) = -5*l(y) - 6*t(y). Find n, given that f(n) = 0.
-10
Factor 972*j**2 - 2012*j**3 + 15134*j**3 + 33234*j**4 + 25815*j**4 + 24*j.
3*j*(27*j + 2)**3
Suppose -3*y + y = -n - 6, -4*y + 12 = 5*n. Suppose t + 0*t - 4*z - 4 = 0, y*t + 4*z = 60. Suppose -t + h**2 - 16*h + 0 - 3*h**2 - 2*h**2 = 0. Calculate h.
-2
Let x(l) be the third derivative of 3*l**7/980 + l**6/180 - l**5/210 + 2*l**3/3 - 20*l**2. Let k(m) be the first derivative of x(m). Factor k(d).
2*d*(d + 1)*(9*d - 2)/7
Let t(p) = -2*p**3 + 9*p**2 - 6*p + 6. Let n be t(4). Let l be 6/60*(-4)/n. Factor -3/5 + 2/5*c + l*c**2.
(c - 1)*(c + 3)/5
Let b(d) be the third derivative of -d**6/40 + 21*d**5/10 - 60*d**4 + 400*d**3 - 640*d**2. Determine c, given that b(c) = 0.
2, 20
Let q(v) be the first derivative of v**4/4 - 12*v**3 - 37*v**2/2 - 324. Factor q(m).
m*(m - 37)*(m + 1)
Let s(h) be the second derivative of h**6/315 - h**5/210 - 2*h**4/63 + 4*h**3/63 + 5*h + 10. Factor s(d).
2*d*(d - 2)*(d - 1)*(d + 2)/21
Suppose 2*p = -4*i + 6, -i - 5 = -3*p + 4. Suppose -5*m - 4 = -2*b, m + 5*b = 3*b + 4. Factor m*x + 21/5*x**4 - 3*x**p - 6/5*x**2 + 0.
3*x**2*(x - 1)*(7*x + 2)/5
Let d be 3/6*(-3 + 2 + 3). Let w = d - 3/4. Factor -1/4*a**2 + 1/2 + w*a.
-(a - 2)*(a + 1)/4
Suppose 6*i + 5*i = 33. Factor 5*n - 12*n**2 + 3*n + 0*n**3 - 4*n + 12 - 4*n**i.
-4*(n - 1)*(n + 1)*(n + 3)
Let k be (45/(-6))/((-1089)/132). Let -4/11*i + 0 + 4/11*i**3 - k*i**4 + 10/11*i**2 = 0. What is i?
-1, 0, 2/5, 1
Let h be (-16)/(-6)*(16 - 2101/132). Let q(c) be the third derivative of -1/90*c**5 - 16/9*c**3 + 0*c + 4*c**2 - h*c**4 + 0. Factor q(r).
-2*(r + 4)**2/3
Let x be 2/(-5) + (-943)/205 - 118/(-18). Suppose 4/9*j**3 + x*j**4 - 50/9 - 2/9*j**5 - 92/9*j**2 - 130/9*j = 0. Calculate j.
-1, 5
Let a(u) = -u**2 + 7*u + 5. Let w be a(7). Suppose 0 = 4*f - 8, -w*f + 5 = -d - 3. Factor -4*h - 3 - 2*h**2 - 2*h**d + 3.
-4*h*(h + 1)
Factor 236/15*h**2 + 2/15*h**4 - 8/3*h**3 - 24*h + 54/5.
2*(h - 9)**2*(h - 1)**2/15
Let y(j) be the third derivative of 1/216*j**4 - 1/540*j**5 + 0 + 7*j**2 + 0*j + 1/27*j**3. Find w such that y(w) = 0.
-1, 2
Let z(i) be the second derivative of i**5/4 + 5*i**4/8 - 25*i**3/3 - 105*i**2/4 + 139*i. Determine t, given that z(t) = 0.
-7/2, -1, 3
Suppose 0 = -4*l - 4*u + 352, 0 = -u - 3*u. Let a = l + -86. Determine d, given that -64/9*d**5 - 73/9*d**a - 172/9*d**3 - 14/9*d - 1/9 - 176/9*d**4 = 0.
-1, -1/4
Let g be (-2177 + 2183)/(0 + 30/4). Factor -8/5*a**3 + 0*a**2 + 0 + 0*a - g*a**4 + 4/5*a**5.
4*a**3*(a - 2)*(a + 1)/5
Suppose -9*a**2 + 15/2*a + 9/2*a**3 - 3/4*a**4 - 9/4 = 0. What is a?
1, 3
Factor -88/9*v**2 - 2/9*v**4 - 28/9*v**3 - 80/9*v + 0.
-2*v*(v + 2)**2*(v + 10)/9
Factor -3*s**5 - 50*s**4 - 16409*s**3 + 16304*s**3 - 4*s**5 + 2*s**5.
-5*s**3*(s + 3)*(s + 7)
Let n be (1 - 21/9)*-3. Factor -5*y**2 + n*y**2 - 10 - 15*y - 5*y**2 + y**2.
-5*(y + 1)*(y + 2)
Let g(v) be the third derivative of v**5/180 - 7*v**4/36 + 49*v**3/18 + 2*v**2 + 4. Factor g(p).
(p - 7)**2/3
Let p be 16/(-10)*(-4 - 57/(-18)). Let l(w) be the second derivative of -1/15*w**6 + 0 + p*w**3 - w**2 + 2/5*w**5 + 5*w - w**4. Factor l(u).
-2*(u - 1)**4
Factor 9*i**2 + i**4 - 9*i**2 + 6*i**2 + 5*i**3 + 0*i**4.
i**2*(i + 2)*(i + 3)
Let j be 9 + (-14)/(-63) + 58/(-18). Let t(w) be the third derivative of -1/720*w**j + 0 + 0*w + 1/144*w**4 - 1/36*w**3 - 3*w**2 + 1/360*w**5. Factor t(q).
-(q - 1)**2*(q + 1)/6
Let s = 40/3 + -12. Let w be 21312/(-1184)*((-5)/(-6))/(-5). Factor -2/3*f**5 + 4/3*f**4 + 2/3*f + 0*f**w - s*f**2 + 0.
-2*f*(f - 1)**3*(f + 1)/3
Suppose -24*u - u = -75. Let y(w) be the second derivative of 0 + 2/3*w**u - 7/15*w**6 + 2*w + 7/6*w**4 - 1/5*w**5 + 0*w**2. Factor y(c).
-2*c*(c - 1)*(c + 1)*(7*c + 2)
Let j(q) be the first derivative of -5*q**3/3 - 130*q**2 + 540*q - 92. Factor j(w).
-5*(w - 2)*(w + 54)
Suppose -4*o - 3*d - d = -20, 2*o - 25 = 3*d. Let h = 7 - 5. Factor 9*f**3 - o*f**3 - 3*f**2 + 6*f**h.
f**2*(f + 3)
Let p(t) be the third derivative of -5*t**5/12 - 65*t**4/24 + 5*t**3 - 73*t**2. Let p(o) = 0. What is o?
-3, 2/5
Let o(f) be the third derivative of -f**7/315 + 2*f**6/45 + 13*f**5/45 - 14*f**4/3 - 49*f**3 + 3*f**2 + 12*f. Solve o(y) = 0 for y.
-3, 7
Suppose 2 = 2*r - 4*r. Let x = 2 - r. Factor -4*c + c**4 - 2*c**3 - 4*c**3 + 8*c**2 - 4*c**x + 5*c**3.
c*(c - 2)**2*(c - 1)
Let m(c) be the first derivative of -9*c**4/16 - 5*c**3/2 - 21*c**2/8 + 72. Find h, given that m(h) = 0.
-7/3, -1, 0
Let a(q) be the second derivative of q**8/6720 + q**7/1260 - q**6/720 - q**5/60 - q**4/4 + 6*q. Let r(x) be the third derivative of a(x). Factor r(l).
(l - 1)*(l + 1)*(l + 2)
Suppose 9*m + 10 = -53. Let n(d) = -d**3 - 9*d**2 - 12*d + 16. Let t be n(m). Let -4/7*u**3 + 0 + 8/7*u**t + 0*u = 0. What is u?
0, 2
Suppose 56 = -b + 4*b - 4*g, 0 = -4*b + 3*g + 63. Suppose -y + 5*y = b. Find f such that -1/3*f**3 - 9*f + y*f**2 + 9 = 0.
3
Suppose -154 = -19*o - 78. Find x, given that x + 1 - 3/4*x**2 - x**3 - 1/4*x**o = 0.
-2, -1, 1
Suppose -h = -3*j - 27, 2*j = -2*h - 0*j + 22. Let k be ((-16)/(-12))/(50/h). Factor -4/5 + k*b**2 - 2/5*b.
2*(