(z + 3)*(z + 121)/13
Determine m so that 87/5*m**4 + 0 + 1143/5*m**2 + 118*m**3 + 4/5*m**5 - 324/5*m = 0.
-9, -4, 0, 1/4
Factor 1/5*b**3 + 59049/5 + 487/5*b**2 + 11907*b.
(b + 1)*(b + 243)**2/5
Let v be 7 + (-22)/(-33)*-4. Let m(o) be the first derivative of 3*o**2 - v*o**3 + 3*o**4 - o - 4/5*o**5 + 6. Factor m(s).
-(s - 1)**2*(2*s - 1)**2
Factor 48744 - 29548*f + 133*f**2 + 204*f**2 - 4*f**3 + 58828 - 24904 + 339*f**2.
-4*(f - 83)**2*(f - 3)
Let t(c) be the first derivative of -15 - 28/11*c - 2/33*c**3 - 9/11*c**2. Factor t(u).
-2*(u + 2)*(u + 7)/11
Let p(v) = v**3 - 51*v**2 - 93*v - 57. Let d(w) = 646*w**2 + 836*w - 306 - 188*w**2 + 576 - 6*w**3 + 242. Let l(x) = 6*d(x) + 52*p(x). Factor l(f).
4*(f + 3)*(2*f + 3)**2
Let q(v) be the third derivative of 0 + 3/70*v**7 + 0*v - 1/20*v**5 - 64*v**2 - 1/12*v**6 + 1/84*v**8 + 0*v**3 + 0*v**4. Factor q(n).
n**2*(n - 1)*(n + 3)*(4*n + 1)
Let c(p) be the second derivative of -p**4/22 - 42*p**3/11 - 648*p**2/11 - 1902*p. Determine q, given that c(q) = 0.
-36, -6
Let d = -9 - -13. Suppose -d*z - 49 = -389. Factor -z*n**2 - n + 85*n**2 + n**3.
n*(n - 1)*(n + 1)
Let f = -55 - -73. Let k = -15 + f. Find t such that 3 - 5*t**k + 5*t**2 - 8 - 149*t + 154*t = 0.
-1, 1
Let x(h) be the third derivative of -7*h**7/30 - 2191*h**6/60 + 961*h**5/5 - 689*h**4/3 + 368*h**3/3 + 1806*h**2. Factor x(q).
-(q - 2)*(q + 92)*(7*q - 2)**2
Let 0 - 10/3*n**4 + 32*n**3 + 50*n**2 + 44/3*n = 0. Calculate n.
-1, -2/5, 0, 11
Let t(p) = -349*p**3 - 2*p**2 + 1. Let z be t(-1). Solve 5*m**4 - z*m**2 - 1073*m - 3*m**5 + 929*m + 1728 + 13*m**4 + 45*m**3 = 0 for m.
-3, 4
Let k be 26115/(-102)*156/(-1950) - 6/10. Suppose -52/17*q - 2/17 - k*q**2 = 0. Calculate q.
-1/13
Let d(q) = q**3 - 22*q**2 + 3*q - 63. Let c be d(22). Factor -c*g**4 - 6*g**2 - 8*g + 13*g**2 - 37*g**3 + 31*g**2 + 10*g**4.
g*(g - 4)*(g - 1)*(7*g - 2)
Factor -5*m**2 + 514 + 1650*m - 2982 + 113 - 230 - 2320.
-5*(m - 327)*(m - 3)
Let w(y) be the second derivative of -2/9*y**3 + 4 - 1/90*y**4 + 0*y**2 - 8*y. Solve w(c) = 0.
-10, 0
Let h be (-82 + 96)/(-2 - -3). Let k(f) be the second derivative of h*f - 1/4*f**5 + 5/6*f**3 + 0*f**2 + 0*f**4 + 0. Suppose k(u) = 0. What is u?
-1, 0, 1
Let j(y) be the first derivative of 0*y - 1/240*y**6 - 1/80*y**5 + 27 + 0*y**2 - 8*y**3 + 1/8*y**4. Let f(p) be the third derivative of j(p). Factor f(n).
-3*(n - 1)*(n + 2)/2
Factor -1/2*j**2 + 78 - 38*j.
-(j - 2)*(j + 78)/2
Let x be ((-36)/448)/(183/(-854)). Solve 1/8*i**2 + x - 1/2*i = 0 for i.
1, 3
Let g(r) be the third derivative of -1/12*r**5 - 10*r**2 - r + 0 + 0*r**3 + 25/3*r**4. Find n such that g(n) = 0.
0, 40
Suppose -2*a = -5 + 1, 3*n - 3*a = 105. Suppose 0 = 4*y - n - 27. Let 9 + 15*m**2 - 15*m + y*m - 27 - 40*m = 0. What is m?
-2/5, 3
Let 0*c + 118/7*c**4 + 0*c**2 - 4*c**5 + 0 - 24/7*c**3 = 0. What is c?
0, 3/14, 4
Solve -270*o**2 + 2/3*o**4 + 360 + 8/3*o + 88*o**3 = 0 for o.
-135, -1, 2
Let n(z) be the first derivative of z**6/10 + 126*z**5/25 + 123*z**4/20 + 1632. Solve n(y) = 0 for y.
-41, -1, 0
Factor -138/7 - 144/7*r**2 - 3/7*r**3 - 279/7*r.
-3*(r + 1)**2*(r + 46)/7
Let p(w) be the second derivative of -82*w - 3/10*w**5 + 0 + 7/40*w**6 - 3/8*w**2 + 1/8*w**4 - 1/28*w**7 + 1/4*w**3. Solve p(k) = 0 for k.
-1/2, 1
Solve -56242 - 35427*o**2 - 2919*o**3 - 317844*o + 13685*o**2 + 38746 - 30908*o**2 - 54*o**4 = 0 for o.
-18, -1/18
Let q(w) = -w**3 + 10*w**2 + 55*w + 22. Let j be q(14). Let t(l) be the first derivative of 1/3*l**4 - 32/3*l + j*l**2 - 8/3*l**3 + 26. Let t(v) = 0. What is v?
2
Let y(i) = -5*i**2 - 1085*i + 2210. Let p(o) = -12*o**2 - 2712*o + 5524. Let q(g) = 5*p(g) - 13*y(g). Determine w so that q(w) = 0.
-111, 2
Suppose 1/4*x**3 + 10*x**2 + 112*x + 384 = 0. Calculate x.
-24, -8
Determine j so that -51/8*j**3 + 27/2 - 3/2*j**4 + 459/8*j + 12*j**2 = 0.
-4, -3, -1/4, 3
Let h(x) be the first derivative of -x**5/120 + x**4/16 + x**3/3 + x**2 - 8*x + 50. Let p(s) be the second derivative of h(s). Determine z, given that p(z) = 0.
-1, 4
Let j(n) be the third derivative of n**5/60 + n**4/24 + n**3/3 - 11*n**2 + 1. Let k(o) = -9*o**2 + 6*o + 3. Let s(t) = -6*j(t) - k(t). Factor s(z).
3*(z - 5)*(z + 1)
Let i(s) be the third derivative of s**6/24 + 20*s**5/3 - 415*s**4/24 - 135*s**3 + 33*s**2 - 16. Factor i(k).
5*(k - 2)*(k + 1)*(k + 81)
Let t be 1 + 1979/(-7) - 72/252. Let r be (9 - t/(-30))*(-15)/36. Factor -1/6*z**5 + 0*z + 0*z**2 + r*z**3 + 0 + 0*z**4.
-z**3*(z - 1)*(z + 1)/6
Suppose 33*y - 3/7*y**4 - 15/7*y**3 + 180/7 + 39/7*y**2 = 0. What is y?
-5, -3, -1, 4
Let b be (-5776 - -5754)*(-37)/66. Solve b*x**2 + 11*x**4 - 20*x**3 + 0 - 2*x - 4/3*x**5 = 0 for x.
0, 1/4, 1, 6
Let s be ((-24)/(-10))/6 - (-576)/60. Let b(o) be the first derivative of -1/3*o**3 + s - o**2 - o. Factor b(k).
-(k + 1)**2
Factor -136697/2*l**3 - 7/4 - 24225/4*l**2 + 4913*l**4 - 1427/8*l.
(l - 14)*(34*l + 1)**3/8
Factor -2/3*v**3 + 0*v**2 + 20 + 38/3*v.
-2*(v - 5)*(v + 2)*(v + 3)/3
Let o(b) = -294*b**3 - 160*b**2 + 182*b - 28. Let c(g) = -42*g**3 - 25*g**2 + 26*g - 4. Let a(s) = -20*c(s) + 3*o(s). What is w in a(w) = 0?
-2/3, 1/7, 1
Factor 3*p**3 + 4016 - 13123 - 1098*p**2 + 20330*p - 78*p**2 - 26993 + 15*p**3.
2*(p - 2)*(3*p - 95)**2
Let b(p) = -3*p - 7. Let f be (30/(-20))/((-6)/(-20)). Let a be b(f). Factor 7 + 40*k - 3*k**4 + 36*k**2 + 14*k**3 - a*k**4 + 13*k**4 + 9.
2*(k + 1)*(k + 2)**3
Let q(l) = 2*l**2 + 2*l - 1. Let t(d) = d**4 + 30*d**3 + 181*d**2 + 248*d + 82. Let v(f) = -42*q(f) + 3*t(f). Factor v(x).
3*(x + 1)**2*(x + 4)*(x + 24)
Let d be 14/4*(-33)/154*-17096. Determine w, given that 10*w**2 + 5*w**3 - 12822 + d = 0.
-2, 0
Factor -31/2*m + 0 + 31/2*m**3 - 1/2*m**2 + 1/2*m**4.
m*(m - 1)*(m + 1)*(m + 31)/2
Let t(n) be the first derivative of -3*n**2 + 19 + 1/8*n**3 + 24*n. Factor t(g).
3*(g - 8)**2/8
Let i(k) be the second derivative of -k**6/30 + 23*k**5/10 - 21*k**4 + 244*k**3/3 - 160*k**2 - 25*k + 34. Determine y so that i(y) = 0.
2, 40
Let h(t) be the second derivative of 3*t**5/20 - 179*t**4/2 + 713*t**3/2 - 534*t**2 - 33*t + 50. Solve h(o) = 0 for o.
1, 356
Factor 4/15*j**3 + 0 + 0*j**2 + 0*j - 2/5*j**4 + 2/15*j**5.
2*j**3*(j - 2)*(j - 1)/15
Let z(c) be the third derivative of -2/27*c**5 - 4/27*c**3 + 0*c + 1/54*c**6 + 5/36*c**4 + 0 + 0*c**7 + 28*c**2 - 1/1512*c**8. Factor z(s).
-2*(s - 1)**4*(s + 4)/9
Let k(l) = -l**2 - 19*l - 58. Let z be k(-4). Let x(b) be the first derivative of -5 + 0*b + 3/8*b**z + 3/32*b**4 + 3/8*b**3. Determine r so that x(r) = 0.
-2, -1, 0
Let c(h) be the third derivative of h**5/30 - 11*h**4/12 + 4*h**3 + 12*h**2. Let f be c(10). Determine m, given that 29 + 36 - f*m**2 - 65 = 0.
0
Suppose 399*k + 177*k - 303*k - 19*k + 508*k + 2*k**2 = 0. Calculate k.
-381, 0
Suppose 12 - 25/4*q + 1/8*q**2 = 0. Calculate q.
2, 48
Let r(q) be the second derivative of -q**6/210 - 17*q**5/140 + q**4/12 + 125*q**3/42 + 51*q**2/7 - 48*q - 13. Solve r(g) = 0 for g.
-17, -2, -1, 3
Let x(c) = -3*c**4 - 26*c**3 - 5*c**2 + 3*c + 5. Let p(d) = d**4 + 11*d**3 + 2*d**2 - 2*d - 2. Let k(b) = -10*p(b) - 4*x(b). Find r such that k(r) = 0.
-1, 0, 2
Let s(h) be the second derivative of -h**7/42 - 7*h**6/30 + h**5/5 + 7*h**4/3 + 3217*h. Suppose s(c) = 0. What is c?
-7, -2, 0, 2
Let f(l) = -9*l - 28*l**2 - 23*l**2 + 44*l**2 - l**3 - 15. Let n be f(-6). Determine j, given that -9*j + 18*j**4 + 15*j**n - 11*j - 13*j**4 = 0.
-2, 0, 1
Let b(c) be the second derivative of -4*c + 0*c**2 + 1/135*c**6 + 1/90*c**5 + 0 - 1/54*c**4 - 1/27*c**3. Factor b(d).
2*d*(d - 1)*(d + 1)**2/9
Let r be 5/45 - ((-56)/9 + 6). Let f(u) be the second derivative of 450*u**2 + r*u**4 + 0 - 20*u**3 + 2*u. Solve f(o) = 0.
15
Let c(l) = 323*l**2 + 96*l + 6. Let y(g) = -650*g**2 - 191*g - 12. Let i(m) = 9*c(m) + 5*y(m). Factor i(k).
-(7*k + 1)*(49*k + 6)
Suppose -18*i = -22*i - t + 6, -2 = -3*i - 2*t. Let h(q) be the third derivative of 17*q**i - 1/2*q**4 + 3/2*q**3 + 0*q + 0 + 1/20*q**5. Factor h(v).
3*(v - 3)*(v - 1)
Let a(t) be the second derivative of -15 + 12/13*t**3 + 7/130*t**5 + t - 5/13*t**4 - 8/13*t**2. Factor a(p).
2*(p - 2)**2*(7*p - 2)/13
Let g be ((-3)/4 - 1)/((-6)/264). Suppose -17*y = -6*y - g. Find v, given that 12*v**2 + 2 - y*v**3 - 4*v**5 + 9*v + 3*v**2 - 13*v**4 + 2*v - 4*v**2 = 0.
-2, -1, -1/4, 1
Suppose