x + 12*x**3 - 183*x**j - 6*x + 192*x**2.
3*x*(x + 1)*(4*x - 1)
Let k(c) be the first derivative of c**3 - 3/20*c**5 + 26*c + 39 + 0*c**2 + 1/4*c**4. Let i(m) be the first derivative of k(m). Find y such that i(y) = 0.
-1, 0, 2
Let s(v) be the first derivative of -3*v**8/896 + 11*v**7/1680 - v**6/480 + 9*v**2 + 5*v - 183. Let y(p) be the second derivative of s(p). Solve y(k) = 0 for k.
0, 2/9, 1
Let h(s) be the first derivative of -1/39*s**3 - 12*s + 1/78*s**4 - 2 + 0*s**2. Let i(t) be the first derivative of h(t). Determine x so that i(x) = 0.
0, 1
Let s(i) be the third derivative of -i**5/40 - 39*i**4/16 - 175*i**3/2 + 15*i**2 + 1. Factor s(l).
-3*(l + 14)*(l + 25)/2
Let u(j) be the third derivative of 51/14*j**4 + 0*j - 4 - 20/7*j**3 + 4*j**2 - 339/280*j**6 - 13/14*j**5 + 1/14*j**7. Solve u(w) = 0.
-1, 2/7, 2/5, 10
Let l(k) be the third derivative of -k**5/330 + 71*k**4/66 - 47*k**3/11 - 5218*k**2. Factor l(j).
-2*(j - 141)*(j - 1)/11
Let m(o) = -26561*o + 106248. Let n be m(4). Factor -22/3*a**3 - 28*a**2 + n*a**4 + 0 - 1/3*a**5 - 49/3*a.
-a*(a - 7)**2*(a + 1)**2/3
Let v(p) = 15*p - 4. Suppose 2*j + 1 = 3. Let a be v(j). Factor -2*z + a*z**3 + 4*z**4 + 13*z**2 - z**2 - 7*z**2.
z*(z + 1)*(z + 2)*(4*z - 1)
Suppose 5*u - 1367 = 58. Factor -3*g + 239*g**2 - u*g**2 - 9*g - 14*g**3.
-2*g*(g + 3)*(7*g + 2)
Let p(k) be the second derivative of k**7/1890 + k**6/360 - k**5/540 - k**4/72 + 59*k**2/2 + 2*k - 5. Let b(z) be the first derivative of p(z). Factor b(q).
q*(q - 1)*(q + 1)*(q + 3)/9
Let j = 595 - 594. Let v(z) = -625*z**5 - 252*z**4 + 1800*z**3 + 2082*z**2 + 640*z. Let f(l) = l**4 - l**2. Let k(h) = j*v(h) + 2*f(h). Factor k(m).
-5*m*(m - 2)*(5*m + 4)**3
Let r = -11/13248 + 985/4416. Suppose 14/9*s**2 + r*s + 4/3*s**3 + 0 = 0. Calculate s.
-1, -1/6, 0
Let k = -8/109 - -1040/2289. Let z(g) be the first derivative of 3/7*g**4 - 17 + 8/35*g**5 + k*g**3 + 1/7*g**2 + 1/21*g**6 + 0*g. Suppose z(u) = 0. What is u?
-1, 0
Let m(d) = -4*d**3 + 4852*d**2 + 19136*d + 14256. Let y(v) = -2*v**3 + 2911*v**2 + 11481*v + 8554. Let o(q) = 7*m(q) - 12*y(q). Factor o(k).
-4*(k + 1)*(k + 3)*(k + 238)
Let s(f) = 29*f**2 - 194*f + 1717. Let y(p) = 180*p**2 - 1165*p + 10300. Let z(l) = -25*s(l) + 4*y(l). Factor z(r).
-5*(r - 23)*(r - 15)
Suppose 4*o + 23 = -3*p - 296, 0 = 5*o + 20. Let x = 171 + p. Solve 5 + 109*j - 17 - 139*j + x*j - 12*j**2 = 0 for j.
1/3, 3
Let m(l) = -93*l + 80. Let k be m(12). Let c = -1034 - k. Factor 2/3*r**c + 28/3*r + 98/3.
2*(r + 7)**2/3
Let x(r) be the first derivative of r**4/14 + 436*r**3/21 - 1335*r**2/7 + 576*r - 4253. Factor x(l).
2*(l - 3)**2*(l + 224)/7
Let x(b) be the second derivative of -b**5/50 + 4*b**4/3 - 159*b**3/5 + 1782*b**2/5 - 3708*b. Factor x(c).
-2*(c - 22)*(c - 9)**2/5
Let k(q) = 9*q**2 - 645*q + 52963. Let h(v) = -4*v**2 + 323*v - 26494. Let w(x) = 7*h(x) + 3*k(x). Factor w(i).
-(i - 163)**2
Let f = -3/20 - -41/60. Let x(m) be the second derivative of 6/5*m**5 + 0 + 4/3*m**4 + 2/3*m**3 + f*m**6 + 2/21*m**7 + 0*m**2 + 8*m. Factor x(n).
4*n*(n + 1)**4
Factor -27*k - 13*k**2 + 6035*k**3 - 72 - 12*k + 11*k**2 - 6034*k**3.
(k - 8)*(k + 3)**2
Factor -348 - 4*x**4 - 4836 - 70*x**2 - 696*x**2 - 198*x**2 + 3744*x + 104*x**3.
-4*(x - 9)**2*(x - 4)**2
Factor -5*y**3 - 75*y**2 + 27 + 27 + 14*y + 21 - 9*y.
-5*(y - 1)*(y + 1)*(y + 15)
Let o be 64/(-40) - (-112)/70. Let s(k) be the second derivative of -1/3*k**2 + 1/3*k**3 - 1/6*k**4 - 15*k + 1/30*k**5 + o. Factor s(x).
2*(x - 1)**3/3
Let c(v) be the third derivative of v**6/30 + 5*v**5/3 + 175*v**4/6 + 250*v**3 + 10*v**2 + 3. Factor c(l).
4*(l + 5)**2*(l + 15)
Suppose 454 = -p + 5*f, -3*p - 326 = -2*f + 971. Let u = 5581/13 + p. Determine l, given that -4/13 - 2/13*l + u*l**2 + 2/13*l**3 = 0.
-2, -1, 1
Suppose 5*n = -394*j + 392*j - 16, 2*j - 8 = -n. Let t(f) be the third derivative of 0*f**3 + 1/18*f**4 + 0*f + j*f**2 - 1/90*f**5 + 0. Factor t(q).
-2*q*(q - 2)/3
Let l(y) be the third derivative of y**5/210 + 115*y**4/84 + 226*y**3/21 + 4*y**2 + 565*y. Solve l(k) = 0 for k.
-113, -2
Let s(z) be the third derivative of -297*z**7/35 + 309*z**6/20 - 40*z**5/33 + z**4/33 - 1069*z**2. Suppose s(x) = 0. What is x?
0, 2/99, 1
Let h be 1*8 + -103 + 98. Let m(f) = 63*f**2 - 126*f + 66. Let d(y) = y**3 - 126*y**2 + 249*y - 131. Let t(c) = h*d(c) + 7*m(c). Factor t(i).
3*(i - 1)**2*(i + 23)
Let a(o) be the first derivative of 2*o**3/9 - 1090*o**2/3 + 594050*o/3 + 1808. Find y such that a(y) = 0.
545
Let y(b) = -b**2 - 25*b - 153. Let h be y(-15). Let o be (13 + -8)/(((-90)/4)/h). Factor -2/3*l**3 + 10/3 + o*l - 10/3*l**2.
-2*(l - 1)*(l + 1)*(l + 5)/3
Let x = 140 + -114. Let r be 0/((x - 25)*(-1)/1). Suppose -10/13*z + r + 2/13*z**2 = 0. What is z?
0, 5
Suppose 76/3*a**3 + 0 + 62/3*a**2 - 148*a + 2/3*a**4 = 0. What is a?
-37, -3, 0, 2
Let i(v) = v**3 + 125*v**2 + 573*v + 855. Let y(f) = 3*f**3 + 371*f**2 + 1720*f + 2565. Let b(a) = 17*i(a) - 6*y(a). Factor b(m).
-(m + 3)**2*(m + 95)
Factor -1/10*q**4 + 3/10*q**2 - 11/10*q + 3/10*q**3 + 3/5.
-(q - 3)*(q - 1)**2*(q + 2)/10
Let n(r) be the first derivative of 97 - 5/16*r**4 - 3/8*r - r**2 - 23/24*r**3. Factor n(u).
-(u + 1)**2*(10*u + 3)/8
Let o(l) = 9*l - 17. Let s be o(7). Suppose 9*v + 14*v - s = 0. Factor -1/3*a**3 + 2*a**v + 0*a + 0.
-a**2*(a - 6)/3
Let i(o) be the third derivative of o**6/480 - 11*o**5/240 + 17*o**4/48 - o**3 - 1793*o**2. Let i(h) = 0. What is h?
1, 4, 6
Solve -29203*k**2 + 0*k**3 - 704*k + 29079*k**2 + 4*k**3 - 576 = 0 for k.
-4, -1, 36
Let k(n) be the third derivative of -41*n**4/24 + 205*n**3/3 - 4*n**2 + 9*n. Let i be k(10). Solve 0*m**3 + 2/5*m**2 + 1/5*m - 2/5*m**4 - 1/5*m**5 + i = 0.
-1, 0, 1
Let v(y) = -y**3 - y**2 + 17*y + 17. Let b be v(4). Determine s, given that -5/2*s**4 - b*s**3 + 0*s**2 + 5/2*s**5 + 0 + 0*s = 0.
-1, 0, 2
Let f = -6 + 11. Factor -y - 2*y + f*y**2 - y - 6*y + 5.
5*(y - 1)**2
Let o = -2/154275 - -154289/1079925. Factor -10/7*j - o*j**3 + j**2 + 0.
-j*(j - 5)*(j - 2)/7
Let f(d) be the first derivative of -1/4*d**2 + 0*d + 1/8*d**4 + 0*d**3 - 66. Determine h, given that f(h) = 0.
-1, 0, 1
Let u(h) be the first derivative of -328 + 32/5*h**5 - 122*h**2 - 96*h - 160/3*h**3 - 2/3*h**6 + 6*h**4. Factor u(f).
-4*(f - 8)*(f - 3)*(f + 1)**3
Let d be (15/6)/(3/6). Let j(f) be the second derivative of 0 + 3*f**2 - 5/8*f**4 - 4*f + 1/20*f**6 + 1/28*f**7 - 3/8*f**d + f**3. What is g in j(g) = 0?
-2, -1, 1, 2
Solve 315218 - 1588*u - 365*u**2 + 93*u**2 + 94*u**2 + 88*u**2 + 92*u**2 = 0 for u.
397
Let i(n) = 17*n**3 - n**2 + 8*n + 8. Let q(m) = 11*m**3 - 2*m**2 + 9*m + 6. Let v(z) = 3*i(z) - 4*q(z). Factor v(k).
k*(k - 1)*(7*k + 12)
Suppose 0 = -4*k + 2*z + 14, 9*z - 13*z - 14 = -k. Factor -5*b**k - 20 + 2162*b + 0*b**2 - 2182*b.
-5*(b + 2)**2
Let h = 95/1192 - -18217/10728. Find z, given that 4/3 - 10/9*z + 2/3*z**3 - h*z**2 = 0.
-1, 2/3, 3
Let m(w) be the first derivative of -w**5/120 + w**3/12 + 15*w**2 - 282. Let c(z) be the second derivative of m(z). Factor c(r).
-(r - 1)*(r + 1)/2
Let y = 9 - 19. Let w be (-16)/y + (-26)/(-65). Let 1 - 8*b**2 - 2*b + 10*b**w - 5 = 0. What is b?
-1, 2
Factor 261 - 240*c - 198 - 5*c**2 + 145 + 292.
-5*(c - 2)*(c + 50)
Solve -36/7*l**2 + 2/7*l**3 + 320/7 - 96/7*l = 0 for l.
-4, 2, 20
Suppose -1676*b = -1654*b - 110. Let m(p) be the first derivative of 5 + 1/5*p**b + 2*p**3 + 1/2*p - 13/8*p**2 - 17/16*p**4. Factor m(g).
(g - 2)*(g - 1)**2*(4*g - 1)/4
Suppose 0 = 2*k - t - 5, 47*k = 51*k - 3*t - 9. Let f(a) be the third derivative of 0 - 10*a**2 + 1/12*a**4 + 0*a - 1/90*a**5 + 0*a**k. Factor f(v).
-2*v*(v - 3)/3
Let z(v) be the second derivative of -5*v**5/6 + 95*v**4/12 - 80*v**3/9 - 25*v**2/2 + 27*v - 25. Let z(d) = 0. What is d?
-3/10, 1, 5
Suppose -r + 1 = 3, 274 = c + 2*r. Suppose -12 = -284*q + c*q. Suppose -7/3 + 2*f + 1/3*f**q = 0. Calculate f.
-7, 1
Let s(i) be the third derivative of -i**6/40 - 121*i**5/20 + 61*i**4/4 + i**2 + 119*i + 5. Determine q, given that s(q) = 0.
-122, 0, 1
Let i(s) be the first derivative of 3*s**3 - 1365*s**2/2 - 456*s + 1534. Factor i(z).
3*(z - 152)*(3*z + 1)
Let a(x) be the second derivative of x**7/42 - 23*x**6/15 + 131*x**5/20 - 43*x**4/6 - 1135*x. Factor a(z).
z**2*(z - 43)*(z - 2)*(z - 1)
Solve -79*c**2 - 312*c + 6*c**2 - 2 - 3