+ 20)
Let d(y) = -y**3 - y**2 - y. Let s = 284 - 278. Let x(u) = 7*u**3 + 15*u**2 + 24*u. Let c(v) = s*d(v) + x(v). Factor c(b).
b*(b + 3)*(b + 6)
Let q = -424/141 - -4805/1551. Let 2/11*x**2 + 0 - q*x - 1/11*x**3 = 0. Calculate x.
0, 1
Factor 1/3*i**3 - 313/3*i**2 - 8112 + 8216*i.
(i - 156)**2*(i - 1)/3
Let m(q) be the first derivative of -3*q**5 + 27*q**4 - 79*q**3 + 72*q**2 - 12831. Determine j, given that m(j) = 0.
0, 1, 3, 16/5
Let s(z) be the second derivative of z**6/300 + 19*z**5/200 + 13*z**4/20 - 7*z**3/3 - 10*z**2 + 3*z + 25. Factor s(n).
(n - 2)*(n + 1)*(n + 10)**2/10
Let k(l) = -l**3 - 42*l**2 - 5*l - 210. Let v be k(-42). Let d(n) be the second derivative of 1/16*n**4 + v*n**2 + 0 + 3*n - 7/8*n**3. Factor d(h).
3*h*(h - 7)/4
Let m(a) be the first derivative of -3*a**4/16 - a**3/4 + 15*a**2/2 - 438. Factor m(n).
-3*n*(n - 4)*(n + 5)/4
Suppose 4*l = -o + 9, 2*o + 3 + 5 = 5*l. Suppose -12 - 7*n**4 - 9*n - 42*n**l - 47*n**2 + 44*n**3 + 73*n = 0. What is n?
2/7, 1, 2, 3
Let u(w) be the third derivative of w**5/12 - 5*w**4/6 - 210*w**3 + 3*w**2 - 2108*w. Factor u(j).
5*(j - 18)*(j + 14)
Solve 11/10*s + s**3 - 3/5 + 27/10*s**2 = 0 for s.
-2, -1, 3/10
Let z(d) be the third derivative of -d**6/200 + 26*d**5/75 - 163*d**4/120 - 11*d**3/5 - 1112*d**2. Find t such that z(t) = 0.
-1/3, 2, 33
Let p(a) be the second derivative of -a**7/15120 + a**6/1440 - 49*a**4/4 + 43*a. Let z(q) be the third derivative of p(q). Factor z(v).
-v*(v - 3)/6
Let h = 469 + -957. Let l be -2 + h/(-252) - (-2)/7. Solve -l*g + 1/9*g**2 + 1/9 = 0.
1
Suppose 0 = -3*u - 4*i - 10, i - 1 = 2*u - 9. Let r(w) = 19*w - 38. Let v be r(u). Let 1/2*l + 1/4*l**3 - 3/4*l**2 + v = 0. What is l?
0, 1, 2
Suppose 12*w - 10 = 14*w. Let h be 2/w + 1 - 540/9900. What is l in -4/11 + 2/11*l**3 - h*l + 0*l**2 = 0?
-1, 2
Let c = -17125/11 - -1557. Find n, given that -4/11*n + 0 - c*n**3 + 6/11*n**2 = 0.
0, 1, 2
Let v = -3124/27 - -3160/27. Determine i, given that -8/3 - 4/3*i + v*i**2 = 0.
-1, 2
Let h = -2/122819 - 57356453/1228190. Let i = 236/5 + h. Find g such that 0 - 1/2*g**2 - i*g = 0.
-1, 0
Let n(z) = -17*z + 1029. Let b be n(61). Let t be (b/96)/((-48)/128). Factor -16/9*l - 2/9*l**2 + t*l**4 - 2/9*l**5 + 10/9*l**3 - 8/9.
-2*(l - 2)**2*(l + 1)**3/9
Let p(b) be the third derivative of 5*b**8/1008 - b**7/21 + b**6/9 - 2*b**2 - 1362*b. Solve p(q) = 0.
0, 2, 4
Let u(k) be the second derivative of 3/20*k**5 + 0*k**3 - 2 - 31*k + 9/2*k**4 + 0*k**2. Let u(c) = 0. What is c?
-18, 0
Let l(k) = -k**2 - 2*k. Let n(j) = 5*j**3 + 95*j**2 + 535*j + 475. Let o(s) = 30*l(s) - n(s). Factor o(u).
-5*(u + 1)*(u + 5)*(u + 19)
Let x be ((-245)/(-588))/((-2)/4*70/(-40)). Let p(a) be the first derivative of 52/7*a - x*a**3 - 9*a**2 - 36. Solve p(c) = 0 for c.
-13, 2/5
Factor -132/5*z + 104/5*z**2 + 2/5*z**4 + 54/5 - 28/5*z**3.
2*(z - 9)*(z - 3)*(z - 1)**2/5
Suppose 37*j - 250*j = -6*j - 621. Let i(a) be the third derivative of 0*a - 22*a**2 + 0 + 1/120*a**5 - 1/16*a**4 + 0*a**j. Let i(w) = 0. What is w?
0, 3
Let h(f) be the first derivative of -f**3/18 + 15*f**2/4 + 24*f - 996. Factor h(o).
-(o - 48)*(o + 3)/6
Factor -950/3*t**4 - 247609900000/3 - 1/3*t**5 - 361000/3*t**3 - 6516050000/3*t - 68590000/3*t**2.
-(t + 190)**5/3
Let c(f) = 57 - f**2 - f**2 + 0*f - 28*f + 3 - 7*f. Let h be c(-19). Factor 84/17*l**h - 18/17*l**4 + 56/17*l - 122/17*l**2 - 8/17.
-2*(l - 2)**2*(3*l - 1)**2/17
Let i(q) be the first derivative of -4/7*q**4 + 4/21*q**3 - 47 + 1/21*q**6 - 8/7*q + 4/35*q**5 + q**2. Find d such that i(d) = 0.
-4, -1, 1
Suppose -4*b = 108*b - 672. Let y(t) be the first derivative of b*t**5 - 22/3*t**3 + 18*t**2 - 7/6*t**6 - 29/4*t**4 - 8*t + 11. Determine w so that y(w) = 0.
-1, 2/7, 1, 2
Let l(z) be the first derivative of z**5/5 + 17*z**4/16 - 10*z**3/3 - 131*z**2/8 - 15*z/2 - 352. Let l(d) = 0. Calculate d.
-5, -2, -1/4, 3
Let b(f) = 6*f**3 - 76*f**2 + 626*f - 980. Let v(j) = 17*j**3 - 228*j**2 + 1879*j - 2938. Let y(i) = -11*b(i) + 4*v(i). Let y(m) = 0. What is m?
2, 9, 27
Suppose -2*u = 3*k - 691 - 330, -1680 = -5*k + u. Let z = -333 + k. Find r, given that 2/11*r**5 + 2/11*r**z - 4/11*r - 6/11*r**3 + 0 - 10/11*r**2 = 0.
-1, 0, 2
Find b, given that 4*b**3 + 1802 + 38*b**2 + 1824 - 3590 + 90*b = 0.
-6, -3, -1/2
Let k(m) be the first derivative of -58 - 15*m**2 - 225*m - 1/3*m**3. Solve k(r) = 0 for r.
-15
Let z = 142035 - 852161/6. Determine q so that z*q**3 + 148/3*q - 40/3 - 301/6*q**2 = 0.
4/7, 5
Suppose -8 = -3*m + h, -6*h + 3*h + 18 = 5*m. Let i(d) be the first derivative of 2/3*d**m - 1 + 50*d + 10*d**2. Let i(v) = 0. Calculate v.
-5
Let p(t) be the third derivative of -t**7/1575 + 23*t**6/900 + 133*t**5/450 + 193*t**4/180 + 28*t**3/15 - 811*t**2. Let p(z) = 0. What is z?
-3, -1, 28
Let a = 272801/50 + -5456. Let o(g) be the second derivative of -16*g + 2/15*g**4 + a*g**5 + 4/15*g**3 + 0*g**2 + 0. Solve o(x) = 0.
-2, 0
Factor 39*r**2 - 100*r + 337 - 20*r**2 - 15*r**2 + 279.
4*(r - 14)*(r - 11)
Let x be 2/(456/765)*(-13)/(-39). Let g = x + -7/19. Factor 0*j**2 + g*j**3 + 0*j + 0 + 3/4*j**4.
3*j**3*(j + 1)/4
Let f be (-164)/(-6) - 4/(-6). Suppose 42 + 21 + f*w**3 - 4*w**4 - 48*w**2 + 1 - 16*w = 0. Calculate w.
-1, 2, 4
Let t(y) be the second derivative of y**6/6 - 247*y**5/4 - 3795*y**4/4 - 11475*y**3/2 - 17280*y**2 + 10*y + 8. Determine q so that t(q) = 0.
-3, 256
Let a = 100305/2 - 50152. Factor a*h**3 - 13/2*h**2 + 35/2*h + 49/2.
(h - 7)**2*(h + 1)/2
Let h(r) be the first derivative of -7/20*r**5 + 0*r - 1/2*r**2 + r**3 + 9/16*r**4 + 38. Factor h(d).
-d*(d - 2)*(d + 1)*(7*d - 2)/4
Let w(i) be the third derivative of -1/1365*i**7 - 2 - 12/13*i**3 + 20*i**2 - 5/13*i**4 + 0*i + 1/78*i**6 - 1/30*i**5. Factor w(q).
-2*(q - 6)**2*(q + 1)**2/13
Let k = 4/1311 - 2567/411654. Let v = 77/471 - k. Factor 3/2 + y + v*y**2.
(y + 3)**2/6
Factor -9*i - 2*i**4 + 42*i**3 - 391*i**2 - 35*i**3 + 53*i**3 + 13*i**2 - 431*i.
-2*i*(i - 20)*(i - 11)*(i + 1)
Let p(c) = c**3 - c**2 + c + 1. Let b(j) = 45*j**4 - 19*j**3 - 186*j**2 - 4*j + 156. Suppose 3*u = 22*u - 19. Let h(s) = u*b(s) + 4*p(s). Factor h(a).
5*(a - 2)*(a - 1)*(3*a + 4)**2
Let b(a) = -93*a + 26. Let q be b(-9). Let y = 863 - q. Factor y*c - 6/11*c**2 - 2/11*c**3 + 8/11.
-2*(c - 1)*(c + 2)**2/11
Let y(z) be the second derivative of -z**4/20 + 246*z**3/5 + 1479*z**2/10 - 10*z - 456. Factor y(u).
-3*(u - 493)*(u + 1)/5
Let w(o) = 15*o**3 - 717*o**2 + 43914*o - 43218. Let d(u) = 2*u**3 + u**2 - u - 3. Let m(y) = -6*d(y) + w(y). Solve m(k) = 0 for k.
1, 120
Factor 4103*z - 182*z + 1320*z**2 + 73*z**3 + 111 + 2100*z + 375.
(z + 9)**2*(73*z + 6)
Let d(h) be the second derivative of -34*h - 1/40*h**6 + 0 - 1/16*h**4 + 3/4*h**3 - 3/20*h**5 + 0*h**2. Find n, given that d(n) = 0.
-3, -2, 0, 1
Let x(v) be the third derivative of -v**7/70 - 33*v**6/40 - 31*v**5/20 + 33*v**4/8 + 16*v**3 - 24*v**2 - 2*v - 50. Let x(l) = 0. What is l?
-32, -1, 1
Let q be (-3)/(-2)*(-6 - (-78)/9). Factor 72*p - 8*p**2 + 23*p - q*p**2 + 7*p**2.
-5*p*(p - 19)
Suppose -t**4 + 4*t**4 - 211 - 87*t + 52*t**3 - 13*t**3 + 288*t + 295 + 153*t**2 = 0. What is t?
-7, -4, -1
Let d(h) = 3*h**4 - 5*h**3 - 21*h**2 - 19*h - 6. Let y(r) = -r**5 + r**4 + r**3 - r**2. Suppose 0*u - 4 = u. Let k(f) = u*y(f) + 4*d(f). Factor k(w).
4*(w - 3)*(w + 1)**3*(w + 2)
Let j(f) be the second derivative of f**7/84 + 2*f**6/15 + f**5/8 - 25*f**4/12 + 64*f + 2. Let j(i) = 0. Calculate i.
-5, 0, 2
Let f(m) be the first derivative of 4*m**6/33 - 2*m**5 + 59*m**4/11 + 98*m**3/33 - 172*m**2/11 - 8*m + 2195. Let f(d) = 0. What is d?
-1, -1/4, 2, 11
Let g(u) be the second derivative of 3*u**5/100 + 223*u**4/20 - 449*u**3/10 + 135*u**2/2 + 4*u - 115. Solve g(h) = 0 for h.
-225, 1
Let t(f) = -110 + 2*f**3 - 32*f**2 + 4 - 28*f - f**3 - 117 + 60. Let h be t(33). Solve -2/7*b + 2/7*b**h + 0 = 0.
0, 1
Let i(v) be the third derivative of -85/28*v**4 + 11/70*v**5 + 0 + 76*v**2 + 0*v - 1/420*v**6 - 289/21*v**3. Suppose i(w) = 0. What is w?
-1, 17
Let h(g) be the third derivative of 65*g**2 + 0*g + 1/360*g**6 + 0*g**4 + 0*g**3 + 0 + 1/180*g**5. Let h(x) = 0. Calculate x.
-1, 0
Let s be (3/(-1))/3 + -7. Let v be 1*7 - (-9 - s). Determine x, given that 12*x**2 - 12*x**3 - 8*x + 0 + v*x**3 + 0 = 0.
0, 1, 2
Let 1685*x**2 - 133795 + 3438