080*f + 2*f**3 - 9248 + 5327*f**2 + 2*f**4.
4*(f - 34)**2*(f - 2)*(f + 1)
Let t be -4 + -1 + -4 + 12. Determine h, given that 4*h**4 + 13*h**3 - t*h**4 - h - h**2 - 12*h**3 = 0.
-1, 0, 1
Factor -2/11 - 3/11*i - 1/11*i**2.
-(i + 1)*(i + 2)/11
Suppose -15*v = -13*v - 2. Let j be -15 - -12 - (-1 - 4)/v. Solve -2/5*d + 4/5*d**4 + 0 - 4/5*d**j + 0*d**3 + 2/5*d**5 = 0 for d.
-1, 0, 1
Determine o so that 19*o**4 + 6*o**4 + 92*o**5 + 20*o**2 + 40*o**3 - 87*o**5 = 0.
-2, -1, 0
Let v = 4064/95 + -790/19. Factor 3/5*c**5 - 8/5*c**4 + 2/5 - 7/5*c + 4/5*c**3 + v*c**2.
(c - 1)**3*(c + 1)*(3*c - 2)/5
Solve 0*g - 4/3*g**3 + 0*g**2 + 8/3*g**4 + 0 - 4/3*g**5 = 0.
0, 1
Suppose 5*x = 7*x - 116. Let b = -53 + x. Factor -1/2*d + 1/2*d**b + 0*d**3 + 0 - d**2 + d**4.
d*(d - 1)*(d + 1)**3/2
Let m(z) = 30*z**2 - 116*z - 114. Let s(u) = 19*u**2 - 77*u - 76. Let w(c) = 5*m(c) - 8*s(c). Factor w(a).
-2*(a - 19)*(a + 1)
Let s(z) be the first derivative of z**4/34 + 4*z**3/51 - 5*z**2/17 - 12*z/17 - 325. Factor s(j).
2*(j - 2)*(j + 1)*(j + 3)/17
Let k = 21 + -18. Let l be k + -7 + 3 - -3. Determine f, given that l - 6*f - 6*f**2 - 4*f**2 + 5*f**2 - 3*f**2 = 0.
-1, 1/4
Let l(m) = 6*m - 13*m + 0 - 10 + 2*m**2. Let i be l(7). Let -4 + 39*w + 4*w**2 - i*w = 0. What is w?
-1, 1
Let x(j) be the third derivative of j**6/540 - 7*j**5/18 + 1225*j**4/36 - 42875*j**3/27 + 50*j**2. Factor x(u).
2*(u - 35)**3/9
Find k, given that 2/11*k + 24/11 - 26/11*k**2 + 2/11*k**4 - 2/11*k**3 = 0.
-3, -1, 1, 4
Let f(r) be the first derivative of 9/8*r**2 + 1/16*r**4 - 13 - r - 1/2*r**3. Factor f(o).
(o - 4)*(o - 1)**2/4
Let x(p) = -2*p + 8. Let k be x(4). Suppose k*r + m + 25 = 3*r, 12 = -3*m. Find h such that 5*h**2 + 36*h**3 - r*h**2 - 6*h**2 = 0.
0, 2/9
Let o be (-21 - -27) + 718/(-120). Let w(h) be the third derivative of -1/120*h**6 + o*h**5 - 4*h**2 + 0*h**3 + 0*h + 0 + 0*h**4. Let w(x) = 0. What is x?
0, 1
Let z(k) be the second derivative of 2/9*k**3 - 1/2*k**2 - 15*k - 1/36*k**4 + 0. Factor z(p).
-(p - 3)*(p - 1)/3
Let t(m) = -m**3 - 42*m**2 - 81*m - 1638. Let n be t(-41). Factor -1 - 3/2*h**3 + 1/2*h**4 + 3/2*h + 1/2*h**n.
(h - 2)*(h - 1)**2*(h + 1)/2
Let o be (-3 - (-4 + -5)) + 6/(-3). Suppose -2*g + 10 = -4*f, -o*f - 4*g - g + 25 = 0. Find n, given that -9/2*n**2 + 3/2*n**4 + 0 + f*n**3 - 3*n = 0.
-1, 0, 2
Suppose -84*f + 81*f = -48. Let t(p) = p**2 - 15*p - 14. Let c be t(f). Let 30*v + 25/2*v**c + 10 = 0. Calculate v.
-2, -2/5
Let k = -1065 - -9607/9. Let r(p) be the first derivative of 10 - 13/3*p**2 + 4/3*p + k*p**3. Factor r(q).
2*(q - 1)*(11*q - 2)/3
Let d(g) be the second derivative of g**6/900 - g**5/60 + g**4/15 + 19*g**3/6 - 8*g. Let a(q) be the second derivative of d(q). Factor a(k).
2*(k - 4)*(k - 1)/5
Let q(r) be the first derivative of -2/3*r**3 + 18/35*r**5 + 5/7*r**2 + 4/7*r + 4 - 9/14*r**4. Determine l so that q(l) = 0.
-2/3, -1/3, 1
Let n(a) = -a**4 - a**3 - a**2 - a - 1. Let j(l) = 10*l**4 - 18*l**3 + 42*l**2 - 10*l + 6. Let x(w) = j(w) + 6*n(w). Factor x(i).
4*i*(i - 4)*(i - 1)**2
Let q be 8*((-6555)/1310 - -5). Let k = 806/655 + q. Factor -1/5*f**3 - k*f**2 - 9/5*f + 0.
-f*(f + 3)**2/5
Let v(r) = -19*r**3 + 37*r**2 + 212*r - 65. Let a(o) = -10*o**3 + 19*o**2 + 107*o - 33. Let l(f) = -5*a(f) + 3*v(f). Determine w so that l(w) = 0.
-3, 2/7, 5
Suppose 65*u**3 - 20*u**3 - 5*u**4 - 35*u**3 = 0. What is u?
0, 2
Factor 28*r**2 - 1/3*r**3 - 784*r + 21952/3.
-(r - 28)**3/3
Let f(v) be the second derivative of -v**6/240 - v**5/120 + v**4/48 + v**3/12 + 5*v**2 + 23*v. Let r(b) be the first derivative of f(b). Factor r(i).
-(i - 1)*(i + 1)**2/2
Let w(g) be the second derivative of g**6/120 + 3*g**5/10 + 9*g**4/2 + 36*g**3 + 162*g**2 - 117*g. Let w(r) = 0. What is r?
-6
Let h(b) be the first derivative of -b**5/35 + 8*b**4/7 - 30*b**3/7 + 44*b**2/7 - 29*b/7 + 499. Factor h(z).
-(z - 29)*(z - 1)**3/7
Factor -40*t - 30*t**3 - 11*t**2 - 44*t**4 - 49*t**2 + 39*t**4.
-5*t*(t + 2)**3
Suppose 2*l = q + 7, -5*l + 16 = -q - 0*q. Solve 8*o**2 + 33*o**3 + 2*o + 2*o**4 + 2 + o**5 - 9*o - 4*o**4 - 35*o**l = 0.
-2, 1
Let o(t) be the third derivative of -t**7/140 - t**6/20 - t**5/10 - 24*t**2 - 4. Let o(z) = 0. What is z?
-2, 0
Let z be 32/(-6) + (-14)/21. Let h(a) = -a**2 - 8*a - 9. Let c be h(z). Factor -4*j**2 + 2*j**2 + c*j - j**2.
-3*j*(j - 1)
Let h(n) = 3*n - 9. Let x(o) = o**3 - 2*o**2 - o - 1. Let q(a) = h(a) - x(a). Factor q(r).
-(r - 2)**2*(r + 2)
Let l(w) be the first derivative of 14/5*w + 3*w**2 + 6/5*w**3 + 1/10*w**4 + 21. Solve l(k) = 0.
-7, -1
Factor 8/11 + 10/11*s + 2/11*s**2.
2*(s + 1)*(s + 4)/11
Suppose -368 - 1736 = -960*x - 184. Suppose -3*y**3 - 27/7*y**x + 36/7*y + 12/7 = 0. What is y?
-2, -2/7, 1
Let x be 10/45 - 176/(-18). Let u be 2/((5/x)/1). Factor 8 + u*d**2 - 4*d - 9*d + d.
4*(d - 2)*(d - 1)
Let t(r) = 3*r**2 - 14*r - 7. Let p be t(9). Suppose -p*g**5 - 223*g**2 - 1890*g**3 - 222*g**5 - 1383*g**5 + 683*g**2 - 40*g + 3185*g**4 = 0. Calculate g.
0, 2/7, 1
Let l(r) be the second derivative of -5*r**7/14 + 7*r**6/6 + 31*r**5/4 - 235*r**4/12 + 10*r**3 + 542*r. Determine b, given that l(b) = 0.
-3, 0, 1/3, 1, 4
Let f(o) = -2*o + 8. Let t be f(3). Factor -16 + 578*y**3 - 628*y**t - 367*y**4 + 43*y**4 + 214*y**3 + 176*y.
-4*(y - 1)**2*(9*y - 2)**2
Factor -74*b - 4765*b**3 + 9426*b**3 - 4739*b**3 + 2*b**4 + 150*b**2.
2*b*(b - 37)*(b - 1)**2
Let r be (-1)/5*-5*(3 + -25). Let i = r - -24. Solve 1/3*l**i - 1 + 2/3*l = 0.
-3, 1
Factor -95*y**2 - 170*y**2 + 5*y**3 - 2*y**2 + 595*y - 38*y**2 - 295.
5*(y - 59)*(y - 1)**2
Factor 4*i**2 + 11*i**3 - 5*i - 2*i - 3*i + 2*i - 7*i**3.
4*i*(i - 1)*(i + 2)
Factor 228/7 - 88/7*n + 4/7*n**2.
4*(n - 19)*(n - 3)/7
Let u = -147 + 883/6. Let m(f) be the second derivative of 0 - 2/45*f**6 - 5/63*f**7 + u*f**5 + 0*f**2 + 0*f**3 + 1/9*f**4 + 10*f. Suppose m(t) = 0. What is t?
-1, -2/5, 0, 1
Let l be -13 + 0 + 116 + -97. Let j(n) be the first derivative of 1/18*n**3 - 13 + 0*n**2 + 1/4*n**4 + 0*n + 3/10*n**5 + 1/9*n**l. Factor j(t).
t**2*(t + 1)**2*(4*t + 1)/6
Let -10*y**2 + 1/2*y**5 - 7/2*y**4 + 4*y + 0 + 9*y**3 = 0. Calculate y.
0, 1, 2
Let r(h) = 2*h**2 + h + 5. Let b(f) = f**2 - f. Let o(t) = -3*b(t) + r(t). Suppose o(s) = 0. Calculate s.
-1, 5
Let g(j) be the first derivative of -j**6/14 - 9*j**5/7 - 45*j**4/14 + 190*j**3/7 - 675*j**2/14 + 243*j/7 - 241. Determine p so that g(p) = 0.
-9, 1
Determine y so that 6/7*y**4 + 6/7*y**3 + 6/7 - 12/7*y**2 - 3/7*y**5 - 3/7*y = 0.
-1, 1, 2
Let j(b) = 3*b**2 - 30*b + 2. Let f be j(10). Factor -4/3*k**f + 4/3*k**4 + 8/3*k**3 - 8/3*k + 0.
4*k*(k - 1)*(k + 1)*(k + 2)/3
Suppose z - 4*z = -6. Factor -6*o**3 + 8*o**4 + 12*o**3 + z*o**5 - 7*o**2 - 8*o - o**2.
2*o*(o - 1)*(o + 1)*(o + 2)**2
Factor -301*q - 13 + 121*q + 141*q + 49 + 3*q**2.
3*(q - 12)*(q - 1)
Factor -7*g**3 - 9 + g**3 - 5*g**2 + 2*g**2 + 3*g**3 + 15*g.
-3*(g - 1)**2*(g + 3)
Let x(o) be the third derivative of 0 + 1/20*o**4 - 1/350*o**7 + 0*o**3 - 1/20*o**5 - 15*o**2 + 1/50*o**6 + 0*o. Solve x(u) = 0 for u.
0, 1, 2
Factor 3/7*f**5 - 36/7*f**4 + 0*f + 0 + 108/7*f**3 + 0*f**2.
3*f**3*(f - 6)**2/7
Factor -16*l**2 - 6*l - 2*l**3 - 2*l**2 + 3*l**2 - 10*l**3 - 3*l**4.
-3*l*(l + 1)**2*(l + 2)
Let s(l) be the third derivative of -11*l**2 + 3/50*l**6 - 8/25*l**5 + 0 - 2/525*l**7 + 8/15*l**4 + 0*l**3 + 0*l. Solve s(r) = 0.
0, 1, 4
Let z(u) = -u**3 - 7*u**2 - 9*u - 16. Let o be z(-6). Factor -3*a + 6*a + o - 4*a**2 + 9*a - 10.
-4*(a - 2)*(a - 1)
Let p(z) = -3*z**3 - 16*z**2 - 44*z - 10. Let h(t) = -2*t**3 - 8*t**2 - 22*t - 4. Let b(r) = -7*h(r) + 4*p(r). Suppose b(g) = 0. Calculate g.
-1, 6
Factor 1225/8*k + 71/8*k**3 - 1/8*k**4 - 1295/8*k**2 + 0.
-k*(k - 35)**2*(k - 1)/8
Let m(h) be the second derivative of 13*h**7/14 - 149*h**6/30 - 771*h**5/20 - 671*h**4/12 - 10*h**3 + 14*h**2 + 545*h. Suppose m(x) = 0. Calculate x.
-2, -1, -1/3, 2/13, 7
Let n(s) be the third derivative of s**11/665280 - s**9/40320 + s**8/20160 + s**5/10 - 15*s**2. Let h(o) be the third derivative of n(o). Factor h(d).
d**2*(d - 1)**2*(d + 2)/2
Let w = -18 - -25. Let z(u) = -u**3 + 8*u**2 - 3*u + 6. Let f be z(w). Solve 20*h + 100*h**4 + 85*h**3 - 100*h**2 - 105*h**5 + f*h**4 - 34*h**4 = 0.
-1, 0, 2/7, 2/3, 1
Let y be (-4)/(-10) + (-16)/(-10). Factor y*a - 14*a**2 + 10*a**2 + 3*a - a.