q - v*q - 11*q.
(q + 1)**2*(q + 6)
Factor 6*u**2 + 110 + 3*u**2 - 7*u**2 - 182.
2*(u - 6)*(u + 6)
Factor 3*a**2 + 22*a**4 - 17*a**5 + 23*a**2 - 50*a**3 - 20*a**5 + 46*a**5 - 7*a**5.
2*a**2*(a - 1)**2*(a + 13)
Let q(j) be the third derivative of j**7/42 + j**6/2 - 7*j**5/3 - 2*j**2 - 30*j + 2. Let q(f) = 0. What is f?
-14, 0, 2
Let x = -481 + 434. Let a = 143/3 + x. Factor -a*c + 1/3*c**2 - 1.
(c - 3)*(c + 1)/3
Suppose -20668*t + 20582*t + 19 = -239. Factor 168/11 + 102/11*q**2 - 24*q - 6/11*q**t.
-6*(q - 14)*(q - 2)*(q - 1)/11
Let u(l) = 51*l**4 - 114*l**3 - 165*l**2 - 21*l. Let s(v) = 51*v**4 - 120*v**3 - 165*v**2 - 22*v. Let w(z) = -3*s(z) + 4*u(z). Factor w(b).
3*b*(b - 3)*(b + 1)*(17*b + 2)
Let a = 27 - 29. Let o(x) = 35*x**2 + 72*x + 19. Let f = 36 - 41. Let r(i) = -17*i**2 - 36*i - 10. Let p(z) = a*o(z) + f*r(z). Factor p(t).
3*(t + 2)*(5*t + 2)
Let h(a) be the first derivative of -a**6/10 + 3*a**5/25 + 81*a**4/5 - 108*a**3 + 648*a**2/5 - 3454. Let h(u) = 0. Calculate u.
-12, 0, 1, 6
Let t = -52476 - -52487. Factor -1/6*v**2 - 363/2 + t*v.
-(v - 33)**2/6
Let l(u) be the third derivative of -u**9/756 - u**8/420 + u**7/105 + 79*u**3/6 + 2*u**2 - 6*u. Let k(h) be the first derivative of l(h). Factor k(d).
-4*d**3*(d - 1)*(d + 2)
Let w(n) = -5*n**4 - 242*n**3 - 14645*n**2 - 12*n + 4. Let h(s) = -14*s**4 - 726*s**3 - 43934*s**2 - 33*s + 11. Let f(m) = 4*h(m) - 11*w(m). Factor f(y).
-y**2*(y + 121)**2
Let w(n) be the third derivative of n**8/3360 - n**7/336 + n**6/360 + n**5/30 - 22*n**3 - 117*n**2. Let q(o) be the first derivative of w(o). Factor q(v).
v*(v - 4)*(v - 2)*(v + 1)/2
Let n(a) be the first derivative of a**3/6 + 1109*a**2/4 - 1111*a - 8215. Suppose n(q) = 0. Calculate q.
-1111, 2
Let l(g) be the third derivative of -g**6/120 + g**5/4 + 17*g**4/12 - g**2 - 60*g. Find r, given that l(r) = 0.
-2, 0, 17
Suppose 187137*i = 187124*i + 65. Let f(m) be the third derivative of 2/3*m**3 + m**2 + 0*m + 0 + 1/60*m**i - 1/6*m**4. Let f(y) = 0. What is y?
2
Factor 6*z**4 + 27/2*z**3 + 1/2*z**5 + 0 - 2*z**2 - 18*z.
z*(z - 1)*(z + 2)**2*(z + 9)/2
Let h(z) = z**3 - 19*z**2 - 18*z - 37. Let k be h(20). Find m such that 20 - 95*m**k - 16*m + 4*m**4 + 111*m**3 - 15*m**2 - 9*m**2 = 0.
-5, -1, 1
Factor 4582/3*h + 2/3*h**2 + 0.
2*h*(h + 2291)/3
Let v be (42/12 + -1)*12/10. What is m in -8*m + 24*m**5 + 87*m**3 + 23*m**3 - 2*m**v - 92*m**4 - 4*m**3 - 28*m**2 = 0?
-1/6, 0, 1, 2
Let i(l) be the first derivative of -l**4 - 1028*l**3 - 396294*l**2 - 67898372*l - 1809. Let i(q) = 0. What is q?
-257
Let r be (0/(-2) - -7)/((-15841)/(-4526)). Factor 1/2*s**r + 3 + 5/2*s.
(s + 2)*(s + 3)/2
Let j(m) = 10*m**2 - 4*m - 3. Let i be j(-1). Factor 5 + 4*q - i + 8*q**2 + 43*q**4 - 45*q**4 - 4*q**3.
-2*(q - 1)**2*(q + 1)*(q + 3)
Suppose -8*l - 8*l + 10 + 167*l**3 - 11*l**2 - 23*l + 32*l**5 + 142*l**4 - 25*l - 6 = 0. What is l?
-2, -1, 1/16, 1/2
Let w = -860773/4 - -430387/2. Suppose -w*b**3 - 7/2*b + 15/4*b**2 + 0 = 0. What is b?
0, 1, 14
Let k be 8/28 + (-18)/945. Let m(q) be the first derivative of -24/5*q - k*q**3 + 2*q**2 - 14. Factor m(u).
-4*(u - 3)*(u - 2)/5
Factor 1665*r**2 + 57*r**3 - 1669*r**2 + 11*r - 58*r**3 - 6.
-(r - 1)**2*(r + 6)
Let p = 207737 + -623207/3. Suppose p*k**2 + 0*k - 3/2*k**5 + 5*k**4 + 0 - 14/3*k**3 = 0. Calculate k.
0, 2/3, 2
Let s(x) be the first derivative of 22*x**2 + 121/3*x**3 + 7 + 4*x. Factor s(u).
(11*u + 2)**2
Factor 0 - 68/9*x - 2/9*x**2.
-2*x*(x + 34)/9
Let a(o) be the second derivative of 0*o**2 - 65/6*o**3 + 28*o - 1 + 5/12*o**4. Factor a(b).
5*b*(b - 13)
Let b = 170 + -205. Let y(d) = 15*d**4 - 35*d**3 - 680*d**2 + 1325. Let m(z) = -z**4 + 2*z**3 + 40*z**2 - 78. Let x(o) = b*m(o) - 2*y(o). Factor x(t).
5*(t - 2)**2*(t + 2)**2
Solve 116/5*l**3 + 8112/5*l + 0 - 2/5*l**4 - 1976/5*l**2 = 0.
0, 6, 26
Let g(a) be the third derivative of -a**7/630 + 11*a**6/360 + a**5/9 - 7*a**4/6 - 8*a**3 - 228*a**2 + 6. Determine x, given that g(x) = 0.
-2, 3, 12
Let n(h) = -14*h**3 + 39*h**2 - 10*h - 12. Let v(s) = -14*s**3 + 39*s**2 - 7*s - 14. Let x(b) = 4*n(b) - 3*v(b). Factor x(f).
-(f - 2)*(f - 1)*(14*f + 3)
Let q(p) be the first derivative of -p**3/18 - 2*p**2/3 - 2237. Factor q(j).
-j*(j + 8)/6
Let 4/3*v**2 + 256/3*v + 84 = 0. What is v?
-63, -1
Let p(w) be the first derivative of -w**4/36 + 2*w**3/3 - 10*w**2/3 + 56*w/9 - 1510. Factor p(i).
-(i - 14)*(i - 2)**2/9
Let u(q) be the third derivative of 5*q**8/672 + q**7/4 - 107*q**6/24 + 253*q**5/12 - 765*q**4/16 + 725*q**3/12 + 251*q**2 + 2. What is l in u(l) = 0?
-29, 1, 5
Let i be 63/(-24)*56/(-196). Let j(u) be the first derivative of 5/3*u**3 - 4*u + 2*u**2 - 7 - i*u**4. Factor j(h).
-(h - 2)*(h + 1)*(3*h - 2)
Suppose 0 = 136*n + 56*n. Let x(l) be the second derivative of 0*l**4 + 20*l - 1/6*l**3 - 1/60*l**6 + n + 1/4*l**2 + 1/20*l**5. Suppose x(j) = 0. Calculate j.
-1, 1
Let p(q) = q**3 + 7*q**2 + 5*q - 4. Let i be p(-6). Factor -4*b**2 + 11*b**i - 13*b**3 + 4*b**3 + 3*b**2 + 2*b**4 - 3*b.
b*(b - 3)*(b - 1)*(2*b - 1)
Let o(t) = -25*t**2 - 164*t - 1320. Let y(f) = 102*f**2 + 657*f + 5280. Let u(k) = 45*o(k) + 11*y(k). Find i such that u(i) = 0.
-40, -11
Let l(q) = 3*q**2 + 3957*q - 649446. Let t(g) = -g**2 - 1978*g + 324723. Let x(s) = 4*l(s) + 9*t(s). Suppose x(d) = 0. What is d?
329
Factor -3/2*a**3 + 0 + 41*a - 121/2*a**2.
-a*(a + 41)*(3*a - 2)/2
Suppose 135*f + 792 = 333*f. Let r(u) be the third derivative of -8/3*u**3 + 1/3*u**f - 1/60*u**6 + 1/15*u**5 + 0*u + 0 - 21*u**2. Factor r(w).
-2*(w - 2)**2*(w + 2)
Let p be 5/25 - (-8)/10. Let x be 6 + -6 + p + 2. Suppose -8*h**2 + 0*h**3 + 2*h**x - 2*h**4 - 2*h**5 + 10*h**2 = 0. Calculate h.
-1, 0, 1
Let u = -657790/3 - -219264. Factor -24*x**2 + 288*x + u*x**3 - 1152.
2*(x - 12)**3/3
Suppose -2*m - 62 = -66. Factor -2*b + b**3 + 2*b - 4*b + 4*b**m - 6 + 5*b.
(b - 1)*(b + 2)*(b + 3)
Let d be (-441)/(-4)*1656/3105 + 3*2. Let x(y) be the first derivative of -6 - 36/5*y**2 - 4/15*y**3 - d*y. Factor x(i).
-4*(i + 9)**2/5
Let t(f) be the first derivative of -13/18*f**3 - 5/3*f - 92 + 67/12*f**2. Factor t(l).
-(l - 5)*(13*l - 2)/6
Let v = 71 - 74. Let w be ((-16)/(-6) + v)/(4/(-24)). Suppose -w - 4*x**2 - 29*x - 24*x + 47*x = 0. Calculate x.
-1, -1/2
Let h(z) be the second derivative of -1/48*z**4 + 0 - 1/4*z**3 + 55/8*z**2 - 213*z. Factor h(l).
-(l - 5)*(l + 11)/4
Let l(z) = 3*z**2 + z - 30. Let s(t) = -4*t + 10 + 35 - 13*t**2 + 71 + 4. Let f(b) = -9*l(b) - 2*s(b). Factor f(x).
-(x - 5)*(x + 6)
Let a(n) = -n**3 + 58*n**2 - 354*n - 116. Let k be a(51). Let g(i) be the first derivative of -3*i**2 + 3/4*i**4 - i**3 + 0*i + k. Factor g(z).
3*z*(z - 2)*(z + 1)
Let z(c) be the third derivative of -8*c**6/105 + 28*c**5/15 - 193*c**4/168 + 2*c**3/7 - 3*c**2 + 17*c. Find d such that z(d) = 0.
1/8, 12
Let c(f) be the second derivative of -f**6/6 - 17*f**5/5 - 99*f**4/4 - 185*f**3/3 + 100*f**2 - 462*f - 5. Factor c(r).
-(r + 4)*(r + 5)**2*(5*r - 2)
Let s(b) be the third derivative of -b**8/15120 + b**7/1260 - b**6/270 - b**5/30 + b**4/4 + 5*b**2 - 2. Let y(r) be the third derivative of s(r). Factor y(q).
-4*(q - 2)*(q - 1)/3
Let r(i) = i**3 + 16*i**2 + 10*i. Let b(f) be the third derivative of f**5/60 + 56*f**2. Let x(g) = -5*b(g) + r(g). Factor x(v).
v*(v + 1)*(v + 10)
Let o be (-485838249)/11270532 + ((-2)/(-8) - 0). Let i = 2/10321 - o. Find y, given that 1875/7*y**2 + i*y + 12/7 = 0.
-2/25
Let s(p) be the third derivative of -5*p**2 - 1/3*p**4 - 1/840*p**7 + 0*p + 5 + 1/48*p**6 + 16/3*p**3 - 1/10*p**5. Factor s(z).
-(z - 4)**3*(z + 2)/4
Let p(z) be the second derivative of -z**5/4 - 55*z**4/6 + 1105*z**3/6 + 1305*z**2 + 2*z - 1833. Factor p(c).
-5*(c - 9)*(c + 2)*(c + 29)
Let q(g) be the first derivative of 8/3*g**3 + 0*g + 28 - 1/3*g**6 - 4*g**2 + 3/2*g**4 - 4/5*g**5. Determine v so that q(v) = 0.
-2, 0, 1
Factor -1844/3*c - 2/3*c**2 - 425042/3.
-2*(c + 461)**2/3
Let u(c) be the second derivative of -1/7*c**3 - 8 - 2/7*c**2 - 5*c + 5/21*c**4 + 0*c**5 + 1/49*c**7 - 8/105*c**6. Let u(d) = 0. Calculate d.
-1, -1/3, 1, 2
Let v(r) be the third derivative of r**7/1050 + r**6/150 - 41*r**5/300 + 3*r**4/10 - 66*r**2 - 2*r - 4. Find q, given that v(q) = 0.
-9, 0, 1, 4
Let x = 1717728 + -1717710. Determine a, given that x*a**2 + 2/7*a**4 + 14*a + 30/7*a**3