 be the second derivative of -3*n + 0 + 40*n**2 + 5/12*n**4 + 20/3*n**3. Factor r(y).
5*(y + 4)**2
Let d(p) = 29*p**2 - 4540*p + 13998. Let a(s) = 7*s**2 - 1140*s + 3499. Let t(u) = -9*a(u) + 2*d(u). What is w in t(w) = 0?
3, 233
Let b = 66072 - 462502/7. Suppose b*h**2 + 48/7*h + 32/7 - 12/7*h**3 + 2/7*h**4 = 0. What is h?
-1, 4
Let b(q) be the third derivative of -q**7/1050 + 2*q**6/75 + 17*q**5/300 + 2*q**2 + q - 782. Factor b(d).
-d**2*(d - 17)*(d + 1)/5
Let l(g) be the first derivative of 0*g - 83 - 3/22*g**4 - 2/11*g**3 + 18/11*g**2. Factor l(f).
-6*f*(f - 2)*(f + 3)/11
Let x = -23 - -39. Factor 4*s**4 - 1710 - 8*s + 1710 + 20*s**2 - x*s**3.
4*s*(s - 2)*(s - 1)**2
Let u(p) be the second derivative of p**5/240 - 155*p**4/144 - 2404*p. Determine r, given that u(r) = 0.
0, 155
Suppose 934*q = 914*q. Let y(r) be the third derivative of -15*r**2 - 1/6*r**4 - 4/3*r**3 + 1/15*r**5 + 0 + q*r. Factor y(u).
4*(u - 2)*(u + 1)
Let f(s) = s**2 + 16*s + 64. Let v be f(-11). Suppose v*w - 13 = 14. Factor 0 + 0*h**2 + 9/7*h**4 + 0*h + 3/7*h**5 + 6/7*h**w.
3*h**3*(h + 1)*(h + 2)/7
Let -1/3*g**4 - 144 - 5/3*g**3 - 68*g + 224/3*g**2 = 0. Calculate g.
-18, -1, 2, 12
Let d(m) be the third derivative of -m**6/60 + m**5/6 + 11*m**4/6 - 56*m**3/3 + 2634*m**2. What is q in d(q) = 0?
-4, 2, 7
Let m(l) be the first derivative of 6*l**2 - 2*l**4 - 2/3*l**6 - 16/3*l**3 + 66 + 16/5*l**5 + 0*l. Find p, given that m(p) = 0.
-1, 0, 1, 3
Let g(n) be the third derivative of 13*n**7/735 + 317*n**6/140 + 1793*n**5/21 + 1632*n**4/7 + 864*n**3/7 + 2688*n**2. Let g(y) = 0. Calculate y.
-36, -1, -2/13
Let s(n) = 6919*n - 55348. Let c be s(8). Factor -1/2*z**c - 21*z**2 + 26*z + 6*z**3 - 21/2.
-(z - 7)*(z - 3)*(z - 1)**2/2
Let n(w) be the second derivative of 6*w**6/5 - 41*w**5/10 - w**4/6 + 20*w**3/3 + 4*w**2 - 267*w. Solve n(m) = 0 for m.
-1/2, -2/9, 1, 2
Factor -1152 + 1152 + 112*k - 155*k**3 + 173*k**3 - 508*k**2.
2*k*(k - 28)*(9*k - 2)
Factor -2*i**2 - 55/2*i - 25 + 1/2*i**3.
(i - 10)*(i + 1)*(i + 5)/2
Let o(n) be the second derivative of 2*n**6/15 - n**5/5 - 7*n**4 + 30*n**3 + 459*n - 3. Solve o(p) = 0.
-5, 0, 3
Let g(d) = 1653*d - 19791. Let r be g(12). Find y, given that -r - 1/5*y**2 - 6*y = 0.
-15
Let x(m) = 37*m - 32. Let k be x(1). Suppose 0 = 2*q + 5*d - k, -7*q + 5*q - 1 = -d. Determine z so that q*z + 0 + 2/13*z**3 - 10/13*z**2 = 0.
0, 5
Let z(k) = -12*k**2 + 48*k + 81. Let n(b) = -5*b**2 + 24*b + 40. Let v = -33 + 29. Let p(r) = v*z(r) + 9*n(r). Factor p(o).
3*(o + 2)*(o + 6)
What is l in -4*l**2 + 41*l + 8*l - 49*l + 4*l = 0?
0, 1
Let x be 63/(-14) - -14 - (-3)/4. Determine v so that 1/4*v**2 - 10*v - x = 0.
-1, 41
Let x = -1/578736 - -144685/578736. Factor x*z**3 + 2*z - 5/4*z**2 - 1.
(z - 2)**2*(z - 1)/4
Let y(d) be the third derivative of -2/3*d**3 + 126*d**2 + 0 + 0*d + 1/840*d**6 + 4/21*d**4 - 11/420*d**5. Factor y(n).
(n - 7)*(n - 2)**2/7
Let y(f) = f**3 - 26*f**2 - f + 28. Let v be y(26). Suppose h = c - 2*c + v, -3*h + 5*c = -14. Factor -j**4 - j - 20*j**3 + j**2 - 22*j**h + 43*j**3.
-j*(j - 1)**2*(j + 1)
Suppose 14*h = 16*h + 3*s, -5*h + s = -3*s. Let b(p) be the second derivative of -20*p + 4/9*p**2 + h - 1/54*p**4 + 1/9*p**3. Factor b(v).
-2*(v - 4)*(v + 1)/9
Solve 0 - 1/5*w**4 + 4/5*w**3 + 3/5*w**2 - 18/5*w = 0.
-2, 0, 3
Let x(b) be the third derivative of -25*b**2 - 1/3*b**4 + 1 + 0*b + 1/12*b**5 - 2/3*b**3. Let x(s) = 0. What is s?
-2/5, 2
Suppose -l = -14*h + 17*h + 4, 0 = 2*h + 3*l + 26. Find q such that 0 + 2/7*q**h + 2/7*q = 0.
-1, 0
Let u(p) be the second derivative of -2*p**4 - 14*p**2 - 12 - 1/10*p**5 + 2*p + 9*p**3. Find t such that u(t) = 0.
-14, 1
Suppose 0 = 148*n - 2*n - 40*n - 318. Suppose -n - 33*k**3 + 315/4*k**4 + 33*k - 303/4*k**2 = 0. What is k?
-1, 2/15, 2/7, 1
Let s(m) = m**3 - 18*m**2 - 4*m + 75. Let x be s(18). Determine w so that 394*w + 7*w**x - 3*w**3 - 394*w + w**3 = 0.
0
Let w(d) be the third derivative of 1/15*d**5 + 0*d**3 - d**2 - 1 + 0*d - 1/6*d**4 + 1/6*d**6 + 2/35*d**7. Suppose w(r) = 0. What is r?
-1, 0, 1/3
Factor 4/7*n**2 + 6760000/7 - 10400/7*n.
4*(n - 1300)**2/7
Let c be (-1 + (-404)/(-32))/((-9)/70). Let w = 367/4 + c. Determine l so that 0 + w*l**5 - 4/3*l + 0*l**3 - 8/3*l**2 + 8/3*l**4 = 0.
-1, 0, 1
Factor -282309*b + 24765*b + 0*b**3 + 2343*b**2 - 3*b**3 - 582*b**2 - 9462 - 249846.
-3*(b - 294)**2*(b + 1)
Let r be 4/(-18) - 76/(-18) - 1. Suppose 3*x - 44 = -r*h - 14, 0 = h + 3*x - 16. Suppose -3*z - 2*z**2 - 2*z + 0*z + h*z = 0. Calculate z.
0, 1
Let v(t) = 10*t**2 + 249*t + 2178. Let q(s) = 3*s**2 + 84*s + 726. Let m(j) = -7*q(j) + 2*v(j). Let x be m(-9). Factor -c**x + 64/11*c**2 - 87/11*c - 18/11.
-(c - 3)**2*(11*c + 2)/11
Let n = 3394861/323322 + 10/161661. Factor 9/4 - 3*a**3 + n*a + 21/4*a**2.
-3*(a - 3)*(a + 1)*(4*a + 1)/4
Factor -585/2*b**2 - 507/2*b - 831/8*b**3 - 3/8*b**5 + 0 - 45/4*b**4.
-3*b*(b + 2)**2*(b + 13)**2/8
Let y(f) = f**2 + 23*f - 19. Let q(m) = -m**2 - 25*m + 20. Suppose 32*o + 33 + 127 = 0. Let r(z) = o*q(z) - 6*y(z). Let r(t) = 0. Calculate t.
-14, 1
Let a be (-12)/(-180)*25 + (-4 - (-60)/12). Factor a + 2/9*l - 1/9*l**2.
-(l - 6)*(l + 4)/9
Let j = 84 + 123. Suppose -j = -8*f - f. Factor -83*m**2 - 30*m**4 + 65*m**3 + f*m**2 + 20*m + 544*m**5 - 539*m**5.
5*m*(m - 2)**2*(m - 1)**2
Let b = -518/27 - -542/27. Let 16/9*n - 28/9*n**4 + 6*n**2 - 34/9*n**3 - b = 0. What is n?
-2, -1/2, 2/7, 1
Suppose -246*x + 2*b = -241*x - 28, 31 = 2*x - 3*b. Determine w, given that -10/7*w + 2/7*w**3 + 8/7*w**x + 0 = 0.
-5, 0, 1
Let s(d) be the first derivative of -3*d**4/8 - 240*d**3 - 57600*d**2 - 6144000*d - 1053. Find r, given that s(r) = 0.
-160
Let r(s) be the second derivative of -s**6/15 - 117*s**5/70 - 137*s**4/21 - 36*s**3/7 + 8*s**2 + 81*s - 15. Suppose r(o) = 0. What is o?
-14, -2, -1, 2/7
Factor -476*b + 264*b**2 + 2 + 6 + 125*b**2 + 284*b**2 - 205*b**2.
4*(b - 1)*(117*b - 2)
Let o(d) be the third derivative of 17/270*d**5 + 21*d**2 + 0*d**4 + 3 + 0*d**3 + 0*d + 1/540*d**6. Suppose o(t) = 0. Calculate t.
-17, 0
Let t(u) = 2*u - 15. Let o be t(10). Suppose 0 = -3*y + 1 + 20. Factor -5*c**4 + y*c + 8*c + 7*c**2 + 18*c**2 + o*c**3.
-5*c*(c - 3)*(c + 1)**2
Factor -440*d + 111 + 789 + d**2 + 4*d**2 - 40.
5*(d - 86)*(d - 2)
Let y(c) = -c**3 - 431*c**2 - 552*c - 188. Let m(x) = -5*x**3 - 1294*x**2 - 1660*x - 564. Let h(q) = 4*m(q) - 11*y(q). Find v such that h(v) = 0.
-47, -2/3
Let d(u) be the first derivative of u**4/8 + 9*u**3 + 683*u**2/4 + 315*u - 4834. Factor d(a).
(a + 1)*(a + 18)*(a + 35)/2
Let -14/5*g**2 - 2/5*g**3 + 148/5*g + 336/5 = 0. Calculate g.
-12, -2, 7
Factor -55*r**2 - 50773*r - 5*r**3 - 60*r**2 + 50218*r - 765.
-5*(r + 3)**2*(r + 17)
Let k(o) be the first derivative of -o**3/3 - 50*o**2 - 475*o + 974. Factor k(m).
-(m + 5)*(m + 95)
Let v be -4 - -7 - ((-10 - 2) + -5). Let t be 38*6/v - 11. Solve -t*z**2 - 2/5*z + 0 = 0 for z.
-1, 0
Let q(d) = 3*d**2 + 8*d + 14. Let b be q(-4). Solve -15*t + 2*t**2 + 20*t + 23*t + 0*t - b = 0.
-15, 1
Suppose 0 = 46*r - 48*r - 24. Let d(n) = n**3 + 3*n**2 + n + 1. Let p(s) = -9*s**3 - 21*s**2 + 30*s + 12. Let j(m) = r*d(m) + p(m). Let j(w) = 0. Calculate w.
-3, 0, 2/7
Let n(d) be the first derivative of 0*d**5 - 3/8*d**4 + 17 + 0*d + 17/2*d**2 + 1/40*d**6 + d**3. Let c(y) be the second derivative of n(y). Factor c(q).
3*(q - 1)**2*(q + 2)
Let a = 555675 - 555675. Factor -33/5*x**2 - 6/5*x + 63/5*x**3 + a.
3*x*(3*x - 2)*(7*x + 1)/5
Let a be ((-16)/60 + 0)/((-939)/14085). Suppose 5*n**3 - 4*n**4 - 9/2*n + 0 - 1/2*n**5 + a*n**2 = 0. Calculate n.
-9, -1, 0, 1
Let i = 22082/198549 - 7/66183. Let -i*h**3 - 5/9*h - 50/9 + 8/9*h**2 = 0. What is h?
-2, 5
Let z(w) be the third derivative of -w**8/630 + w**7/840 + 31*w**5/60 + 42*w**2 - 4. Let k(a) be the third derivative of z(a). Let k(h) = 0. What is h?
0, 3/16
Let s(c) be the first derivative of 7*c**6/3 + 11*c**5/5 + c**4/2 + 10991. Factor s(g).
g**3*(2*g + 1)*(7*g + 2)
Let z(f) be the second derivative of -f**6/48 + f**5/60 + 5*f**4/48 - f**3/6 + 45*f**2/2 - 3*f + 10. Let n(x) be the first derivative of z(x). Factor n(g).
-(g - 1)*(g + 1)*(5*g - 2)/2
Let h(l) = 3*l**3 - 3*l**2 + 254*l + 165. Let s(d) = -2*d**3 + 2*d**2 - 252*d - 180. Let r(g) = -4*h(g) - 5*s(g). Factor r(i).
-2*(i - 12)*(i + 1)*(i +