- 9*d**3 - d - 2. Let m(y) = 1155*y**4 + 2371*y**3 + 1293*y**2 + 69*y - 1. Let n(u) = -2*f(u) + 2*m(u). Factor n(k).
2*(k + 1)**2*(34*k + 1)**2
Let f be 6/(-14) + (-48)/(-14). Suppose 4*j - 2*c - 20 = 0, 3 = 5*j - c - 16. Solve 15 - f*g - j*g**2 - 29 + 14 = 0.
-1, 0
Factor -1130*n + 6615 - 1705*n + 140*n**3 - 145*n**3 + 225*n**2.
-5*(n - 21)**2*(n - 3)
Let n(x) be the first derivative of 1/30*x**5 + 0*x**2 - 21 - 1/12*x**4 + 0*x - 4/9*x**3. Factor n(p).
p**2*(p - 4)*(p + 2)/6
Let c(j) be the third derivative of 2*j**7/105 - 98*j**6/15 + 115*j**5/3 + 386*j**4/3 - 30*j**2 - 13*j. Solve c(o) = 0 for o.
-1, 0, 4, 193
Let o(y) be the first derivative of -y**4/8 + 280*y**3 - 235200*y**2 + 87808000*y + 1890. Factor o(a).
-(a - 560)**3/2
Let k(r) be the second derivative of -r**4/3 + 34*r**3/7 - 4*r**2 + 62*r - 48. Suppose k(f) = 0. What is f?
2/7, 7
Let t(p) be the third derivative of -5/12*p**3 + 0*p + 1/360*p**5 - 2 + 7/72*p**4 - 8*p**2. Factor t(c).
(c - 1)*(c + 15)/6
Let i(q) be the first derivative of -q**6/180 + q**5/45 + 5*q**2/2 + 8*q + 69. Let l(b) be the second derivative of i(b). Find z, given that l(z) = 0.
0, 2
Let v(z) be the second derivative of 2/15*z**6 + 16/3*z**4 - 35*z + 2 - 2*z**5 + 0*z**2 + 0*z**3. Determine r, given that v(r) = 0.
0, 2, 8
Let f(g) = 4*g**2 + 30751*g + 58736915. Let y(c) = -c**2 - 7689*c - 14684229. Let h(q) = -5*f(q) - 19*y(q). Factor h(t).
-(t + 3832)**2
Let i(c) be the second derivative of 0 - 117*c - 5/3*c**2 + 16/27*c**3 - 1/54*c**4. Factor i(n).
-2*(n - 15)*(n - 1)/9
Suppose 0 = 3*f + m - 14, 4*m = f + 118 - 140. Factor -z**3 + 0 + 3/2*z**4 + 4*z - f*z**2.
z*(z - 2)*(z + 2)*(3*z - 2)/2
Let a be 1106/1896*((-80)/(-105) + 0). Solve 0 + a*u**3 + 10/9*u**2 + 4/9*u = 0.
-2, -1/2, 0
Let w(b) be the third derivative of -1/2*b**4 + 0*b**3 + 1/70*b**7 - 24 - 7/20*b**5 + 0*b - 1/20*b**6 - b**2. Suppose w(q) = 0. Calculate q.
-1, 0, 4
Let x be (-3)/(-8)*194/291. Let j = -95 + 381/4. Factor 1/4*r**2 - x*r**3 + j*r - 1/4.
-(r - 1)**2*(r + 1)/4
Let f be (4/(-2))/(4/(35 - 3)). Let n be (5 - 1)*(1 - (-4)/f). Factor 3*w**4 - 13*w**n - 38 - 47*w**2 - 112*w - 26 - 13*w**2 - 4*w**4.
-(w + 1)*(w + 4)**3
Let l(f) be the second derivative of -f**4 - 5*f**3/6 + 3*f**2/2 - 14*f - 65. Suppose l(c) = 0. What is c?
-3/4, 1/3
Let v = 6367/15 - 2119/5. Let n(p) be the third derivative of -12*p**2 - v*p**3 - 1/60*p**5 + 0*p + 0 - 1/6*p**4. Find g such that n(g) = 0.
-2
Let g(j) = j**2 - 1699*j + 16892. Let z be g(10). Let 6/5*d**3 + 6/5 + 21/5*d - 6/5*d**4 - 3/5*d**5 + 24/5*d**z = 0. What is d?
-1, 2
Let g(q) be the first derivative of q**4/28 - 8*q**3/3 + 109*q**2/14 - 54*q/7 - 247. Let g(i) = 0. What is i?
1, 54
Let v(q) = -53*q**3 - 304*q**2 - 665*q - 334. Let z(x) = 33*x**3 + 203*x**2 + 442*x + 222. Let y(r) = -5*v(r) - 8*z(r). Factor y(f).
(f - 106)*(f + 1)**2
Let d(t) be the third derivative of t**7/1365 + t**6/195 + t**5/78 + t**4/78 - 640*t**2 - 10*t. Let d(n) = 0. What is n?
-2, -1, 0
Let c(v) = v**2. Let n(b) = -39 - b + 41 + b**2 + 953*b**3 - 952*b**3. Let i be (1 - -5) + 5 + -8. Let j(g) = i*c(g) - n(g). Determine q, given that j(q) = 0.
-1, 1, 2
Let i(j) = 5*j**3 + 2*j**2 - 194*j - 2. Let z(g) = -36*g**3 - 33*g**2 + 1359*g + 15. Let x(a) = 15*i(a) + 2*z(a). Suppose x(r) = 0. Calculate r.
-4, 0, 16
Let d(j) be the third derivative of -9*j**2 + 21*j**3 - 12*j + 0 - 1/20*j**5 - 41/8*j**4. Factor d(g).
-3*(g - 1)*(g + 42)
Let t(v) be the first derivative of -v**4/10 - 2628*v**3/5 - 5179788*v**2/5 - 4537494288*v/5 + 2068. Determine x, given that t(x) = 0.
-1314
Let r = 461 - 457. Factor 16*w**r + 13668*w**2 - 975*w**3 - 14707 - 10799 - 75140*w + 163*w**3 + 5854.
4*(w - 17)**3*(4*w + 1)
Suppose -94 = -3*m + r + 36, 81 = 2*m + 5*r. Suppose 4*s - 8 = 8. Solve -4*j**3 - 43 - 8*j**2 + m - s*j = 0 for j.
-1, 0
Let l(u) = 78*u**2 - 6*u + 4. Let b be l(1). Let m be (b - 86)*(-2 - 9/(-5)). Factor 6/7*n + 2/7*n**m + 4/7.
2*(n + 1)*(n + 2)/7
Let s be ((-27)/4)/9 - (-2035)/740. Let -12/7 + 159/7*o**3 + 12/7*o**5 + 111/7*o**s + 9/7*o + 81/7*o**4 = 0. What is o?
-4, -1, 1/4
Let l(s) be the first derivative of 1/45*s**5 - 12 - 11/2*s**2 + 2/9*s**3 + 0*s + 1/9*s**4. Let g(i) be the second derivative of l(i). Factor g(v).
4*(v + 1)**2/3
Let p(z) = 5*z**2 - 19*z. Let u be (-28)/(-6) - (-70)/(-105). Let s be p(u). Suppose s*q**4 + 0 + 10/9*q**5 + 34/9*q**3 - 8/9*q + 0*q**2 = 0. What is q?
-2, -1, 0, 2/5
Factor 42/5*f - 92/5*f**2 + 14/5*f**3 + 36/5.
2*(f - 6)*(f - 1)*(7*f + 3)/5
Let k(l) = 57*l + 30. Let d be k(3). Let f = -199 + d. Factor 5/6*q**f - 5/3*q + 5/6.
5*(q - 1)**2/6
Let n(h) be the third derivative of -h**7/735 + h**6/42 - 6*h**5/35 + 2*h**4/3 - 32*h**3/21 - 3875*h**2. Factor n(y).
-2*(y - 4)*(y - 2)**3/7
Find q such that 0 + 3*q**3 - 9/2*q - 15/2*q**2 = 0.
-1/2, 0, 3
Suppose 13*x + 703 = 32*x. Suppose 35*k**2 - 23*k**3 + x*k**3 - 24*k**3 + 0*k**2 + 20*k = 0. Calculate k.
-1/2, 0, 4
Let r(h) be the third derivative of h**7/1890 - h**5/90 + h**4/27 - h**3/18 - 14*h**2 - 15. Factor r(s).
(s - 1)**3*(s + 3)/9
Factor 5*k**3 - 181748 + 420*k**2 - 735*k + 182118 - 60*k**2.
5*(k - 1)**2*(k + 74)
Let a = 22 - -2. Solve 15 - 31*h + 3*h**2 + 37*h - a*h = 0 for h.
1, 5
Let l(n) be the first derivative of n**6/18 + 17*n**5/5 + 33*n**4/4 + 49*n**3/9 + 218. Factor l(v).
v**2*(v + 1)**2*(v + 49)/3
Let n(h) be the second derivative of -121*h + 1/18*h**4 + 432*h**2 - 2 - 8*h**3. Determine w, given that n(w) = 0.
36
Let p(u) be the third derivative of -u**8/1176 + 19*u**7/735 + 19*u**6/84 - 17*u**5/70 - 69*u**4/14 + 163*u**2 - 7*u. Solve p(v) = 0.
-3, 0, 2, 23
Suppose 2*n - 2*c + 8 = 3*c, 0 = -3*n - 2*c + 7. Let i be -1 + 2 + (-516)/(-387). Factor -7/3*r**2 - r**3 + n + i*r.
-(r - 1)*(r + 3)*(3*r + 1)/3
Let b(x) = -x**2 - x. Let g(f) be the first derivative of -10*f**3 + 10*f**2 - 70*f - 16. Let z(k) = -25*b(k) + g(k). Factor z(t).
-5*(t - 7)*(t - 2)
Suppose 95*j - 99*j + 8 = 0. Let m(f) be the second derivative of 1/48*f**4 + 1/4*f**3 + 9/8*f**j + 0 + 7*f. Factor m(i).
(i + 3)**2/4
Solve -1177*k + 71 + 326 - 589 - 984 - k**2 = 0.
-1176, -1
Let g be (2 - (4 - 3)) + 17. Let n = 22 - g. Factor -2*b**2 - n*b - b**2 + b + 6*b**2.
3*b*(b - 1)
Let c be (-2)/108 - 98/(-1323). Let y(h) be the first derivative of -1/6*h**2 - c*h**3 + 0*h - 23. Factor y(m).
-m*(m + 2)/6
Let h be 15/(-27)*((-1)/(-3))/((-50)/1350). Let w(q) be the third derivative of q**3 + 1/90*q**h - 11*q**2 - 1/6*q**4 + 0 + 0*q. Find n such that w(n) = 0.
3
Let b(s) = 19*s**3 - 530*s**2 + 1673*s - 1078. Let u(l) = 11*l**3 - 318*l**2 + 1003*l - 647. Let m(n) = 7*b(n) - 12*u(n). Factor m(i).
(i - 2)*(i - 1)*(i + 109)
Let q(j) = 10*j**2 + 110*j - 106. Let n(f) = -7*f**2 - 74*f + 71. Let h(p) = -7*n(p) - 5*q(p). Determine i so that h(i) = 0.
-33, 1
Let v = 384 - 426. Let x be 1/3 - ((-70)/5)/v. Factor 2/3*s**2 + x*s + 0.
2*s**2/3
Suppose b = 105 - 69. Let p(l) = 16*l**2 + 18*l + 26. Suppose 6 = 5*y - 4. Let k(f) = -f**2 - f - 1. Let t(h) = b*k(h) + y*p(h). Factor t(x).
-4*(x - 2)*(x + 2)
Suppose -63*l - 15 = -68*l. Determine w, given that 55*w**2 - 49*w**2 - 3*w**4 + 2*w**3 + 0*w**3 + w**l = 0.
-1, 0, 2
Let p = -40555 - -40558. Factor -57*l - 39/7*l**2 - 1/7*l**p - 361/7.
-(l + 1)*(l + 19)**2/7
Let m(q) be the second derivative of -q**4/4 + 2135*q**3 - 13674675*q**2/2 - 1343*q. Determine o, given that m(o) = 0.
2135
Let f(m) be the first derivative of -4*m**3/3 + 312*m**2 - 2432*m + 11514. Factor f(u).
-4*(u - 152)*(u - 4)
Find p, given that -2346/7*p + 1560/7 + 9/7*p**2 = 0.
2/3, 260
Let l(r) be the second derivative of 2 - 1/60*r**5 - 3/8*r**4 + 5*r - 9*r**2 + 3*r**3 + 1/180*r**6. Factor l(y).
(y - 3)**2*(y - 2)*(y + 6)/6
Let c be (11/3)/((-5)/(-585)). Let u = c - 2137/5. Factor -u*y + 2/5*y**2 + 8/5.
2*(y - 2)**2/5
Let n = 15265/2 + -290007/38. What is o in -n + 2/19*o**2 - 12/19*o = 0?
-1, 7
Factor -59*v**2 + 175/3*v + 61/3*v**3 - 58/3 - 1/3*v**4.
-(v - 58)*(v - 1)**3/3
Let s(b) = 3*b**2 - 23*b + 25. Let r(u) = -8*u + 1. Let f(q) = -23*q + 3. Let z(a) = 6*f(a) - 17*r(a). Let p(d) = -s(d) - 5*z(d). Factor p(j).
-3*(j - 10)*(j - 1)
Let n be 1976/(-40) - (-3)/(-5). Let d be (52/65)/(2 - (-96)/n). Factor -17*i**2 - d*i**2 + 5*i**3 - 35*i**3 - 9*i**4 - 6*i.
-3*i*(i + 1)*(i + 2)*(3*i + 1)
Let r(n)