*(p + 70)**3
Let t(g) = 3*g**2 - 2*g + 1. Let z(v) = 26*v**2 - 18*v + 9. Let f(k) = 51*t(k) - 6*z(k). Factor f(s).
-3*(s - 1)**2
Factor 0*y**3 + 26*y**4 - 27*y**4 + 0*y**3 - 4*y**3 + 5*y**2.
-y**2*(y - 1)*(y + 5)
Let h(d) = 1302*d + 11720. Let m be h(-9). Factor 3/11 + 1/11*t - 1/11*t**3 - 3/11*t**m.
-(t - 1)*(t + 1)*(t + 3)/11
Let p(y) be the third derivative of y**6/180 - y**5/18 + 2*y**4/9 - 4*y**3/9 + 511*y**2. Factor p(n).
2*(n - 2)**2*(n - 1)/3
Let g(k) be the third derivative of -k**5/12 + 50*k**4/3 - 4000*k**3/3 + 35*k**2 - 3*k. Factor g(i).
-5*(i - 40)**2
Let m(u) be the second derivative of 5*u**7/378 - 11*u**6/90 + 61*u**5/180 - 35*u**4/108 - u**3/9 + 4*u**2/9 + 6*u + 3. Let m(b) = 0. Calculate b.
-2/5, 1, 4
Let b(d) be the second derivative of -d**4/38 - 11*d**3/57 + 4*d**2/19 + 226*d. Let b(k) = 0. Calculate k.
-4, 1/3
Let d(y) be the third derivative of 0*y**4 - 1/5*y**6 + 3/20*y**7 + 2*y**2 + 1/10*y**5 + 0*y**3 - 9/224*y**8 + 0 + 0*y. Let d(o) = 0. What is o?
0, 2/3, 1
Let h(u) = -u**3 - 3*u**2 - 1. Let s(c) = 5*c**4 - 12*c**3 - 21*c**2 + 4*c - 6. Let p(d) = 6*h(d) - s(d). Factor p(o).
-o*(o - 1)**2*(5*o + 4)
Let m(y) be the third derivative of y**5/240 - 121*y**4/96 - 235*y**2 + 2*y. Factor m(l).
l*(l - 121)/4
Let s(o) be the second derivative of o**6/15 - 9*o**5/10 + 14*o**4/3 - 12*o**3 + 16*o**2 - 16*o + 1. Suppose s(k) = 0. Calculate k.
1, 2, 4
Factor -160/3*q**2 - 5/3*q**4 + 0 - 160/3*q - 50/3*q**3.
-5*q*(q + 2)*(q + 4)**2/3
Let d be (-1 + 3/2)*-22. Let x = d + 16. Factor 12*o + o + 20*o**2 - x*o.
4*o*(5*o + 2)
Let h(z) be the third derivative of 0 - 4*z**2 - 2/9*z**4 - 1/90*z**5 + 0*z - 16/9*z**3. Let h(n) = 0. Calculate n.
-4
Let d(z) be the third derivative of z**5/240 - 43*z**4/24 + 1849*z**3/6 + 21*z**2 + 3. Solve d(g) = 0.
86
Let i be (-5)/6 - (-637)/294. Let b(w) be the first derivative of 0*w**2 + 2 + 2*w + 2/5*w**5 + 0*w**4 - i*w**3. Solve b(v) = 0.
-1, 1
Factor 327/7*f**2 + 12/7 + 21*f**4 + 108/7*f + 54*f**3.
3*(f + 1)**2*(7*f + 2)**2/7
Let h(j) = 2*j**2 + 2*j - 1. Let i(c) = 4*c**2 - 136*c - 144. Let b(d) = 4*h(d) - i(d). Solve b(k) = 0.
-35, -1
Determine y so that 4 - 3*y**2 - y**4 - 3/4*y**5 - 7*y + 31/4*y**3 = 0.
-4, -1, 2/3, 1, 2
Let t = 52 - 50. Factor 3*j**3 - 6*j**t + 656*j - 653*j + 0*j**3.
3*j*(j - 1)**2
Factor 125/2*f**2 + 200 - 5/2*f**3 - 260*f.
-5*(f - 20)*(f - 4)*(f - 1)/2
Let g(h) be the second derivative of 0 + 8/3*h**3 - 8*h**2 - 1/5*h**5 + 20*h + 0*h**4 + 1/30*h**6. Factor g(k).
(k - 2)**3*(k + 2)
Let i(v) be the first derivative of -v**4/34 + 16*v**3/51 + 195. Let i(o) = 0. What is o?
0, 8
Determine p so that 3/8*p**4 - 7/8*p**2 + 3/4*p + 0 + 1/8*p**5 - 3/8*p**3 = 0.
-3, -2, 0, 1
Suppose -3*l - 4 = -13. Let k be 4/28*-11 - (-9)/l. Solve 4/7 + 2/7*s - 2/7*s**3 - k*s**2 + 6/7*s**4 = 0 for s.
-1, -2/3, 1
Let i(b) be the first derivative of -b**4/3 + 15*b**3 - 49*b**2/3 - 11*b + 20. Factor i(a).
-(a - 33)*(a - 1)*(4*a + 1)/3
Let s(g) be the first derivative of -3*g**4/28 + 54*g**3/7 - 306*g**2/7 + 600*g/7 - 263. Find k such that s(k) = 0.
2, 50
Let y(j) be the first derivative of 4/3*j + 13 + 1/9*j**3 - 2/3*j**2. Find l such that y(l) = 0.
2
Let z(w) be the third derivative of 0*w**3 + 14*w**2 - 1/90*w**4 - 1/450*w**5 + 0 + 0*w. What is b in z(b) = 0?
-2, 0
What is x in -2/11*x**4 - 12/11*x**2 + 16/11*x**3 - 80/11*x - 50/11 = 0?
-1, 5
Let j(p) be the second derivative of 0 + 1/5*p**3 - 2/5*p**2 - 1/50*p**5 + 0*p**4 - 11*p. Factor j(i).
-2*(i - 1)**2*(i + 2)/5
Let v be (3/(-4))/(2/(-8)). Let g be 10/(-75)*(-9 - 1). Factor 5/3*w**v + g*w**2 + 1/3*w + 0 + 2/3*w**4.
w*(w + 1)**2*(2*w + 1)/3
Let a = 2629/3 + -876. Let m = 5 + -3. Factor -a*r - 1/3*r**m + 2/3.
-(r - 1)*(r + 2)/3
Let c = -7/4 - -2. Let b(k) = 3*k - 27. Let s be b(9). Solve 0 - c*u**2 + s*u = 0 for u.
0
Determine l so that -1692*l - 278 + 247*l**3 - 991*l**2 + 7*l**4 + 3077*l**2 - 370 = 0.
-18, -2/7, 1
Let d(i) = i**2 + 13*i + 5. Let w be d(-13). Let f be -5 + -1 + w - -4. Suppose -z**f + z - 1/2*z**2 + 1/2*z**4 + 0 = 0. Calculate z.
-1, 0, 1, 2
Let v = -16 - -7. Let x = -6 - v. Determine t, given that -t**2 - 2*t**3 + 2*t - 3*t**4 + t**4 + x*t**4 + 0*t**2 = 0.
-1, 0, 1, 2
Let a(i) be the first derivative of -24/25*i**5 + 0*i**2 + 11/10*i**4 - 4/15*i**3 + 10 - 3/5*i**6 + 0*i. Let a(j) = 0. Calculate j.
-2, 0, 1/3
Find f, given that -48/5*f + 10 - 2/5*f**2 = 0.
-25, 1
Solve 0*o**4 - 88*o**3 + 144*o - 4*o**4 - 144*o = 0.
-22, 0
Let v(y) = y**2 + y - 1. Let g(r) = 3*r**2 - 12*r - 13. Let a = -43 - -44. Let c(f) = a*g(f) + 2*v(f). What is o in c(o) = 0?
-1, 3
Let b(j) = j**3 + 9*j**2 + 12*j - 14. Suppose d + 7 + 23 = -5*m, -d + 5 = 0. Let r be b(m). Factor 1/2*n**4 + 1/2*n**2 + n**3 + r + 0*n.
n**2*(n + 1)**2/2
Determine l, given that 29 - 27 + 3*l**2 - 39 - 48*l - 14 = 0.
-1, 17
Factor 0 - 41/3*c**4 + 98/3*c - 1981/3*c**2 - 572/3*c**3.
-c*(c + 7)**2*(41*c - 2)/3
Let h(c) be the second derivative of -5*c**4/12 - 5*c**3/6 + 5*c**2 - 127*c - 2. Factor h(b).
-5*(b - 1)*(b + 2)
Suppose 3*x = -3*x + 18. Suppose 6*k - x*b = k + 23, -k = 5*b + 1. Factor -39*v**k - 3*v**3 + 35*v**4 + 7*v**3.
-4*v**3*(v - 1)
Let v(a) be the second derivative of a**8/1344 - a**7/252 - 7*a**6/144 - a**5/6 + 13*a**4/12 + 10*a. Let d(c) be the third derivative of v(c). Factor d(w).
5*(w - 4)*(w + 1)**2
Let k(b) = -46*b**5 + 4*b**3 - 10*b**2 - 10. Let y = 0 - 1. Let v(s) = -s**2 + 5*s**5 - 6*s**5 - 1 + 0. Let w(u) = y*k(u) + 10*v(u). Factor w(c).
4*c**3*(3*c - 1)*(3*c + 1)
Let 49 - 164*q**2 + 64*q - 20 + 83 - 12*q**3 = 0. Calculate q.
-14, -2/3, 1
Suppose -4*w + 24 = 4*w. Let c(j) = j**2 - j + 1. Let s(z) = -z**2 + z. Let k(l) = w*s(l) + 2*c(l). Factor k(d).
-(d - 2)*(d + 1)
Let v(m) = m**3 - 8*m**2 + 11*m - 2. Let s(j) = 6*j**3 - 54*j**2 + 78*j - 15. Let c(h) = 2*s(h) - 15*v(h). Factor c(r).
-3*r*(r - 3)*(r - 1)
Let a = 1245 - 33607/27. Let n(w) be the first derivative of -5/9*w**2 - 3 + a*w**3 + 4/9*w - 1/18*w**4. Find u such that n(u) = 0.
1, 2
Factor -158*d - 3*d**4 + 55*d**2 - 52*d**2 + 152*d + 6*d**3.
-3*d*(d - 2)*(d - 1)*(d + 1)
Let h = -216/7 - -5839/189. Let f(z) be the first derivative of 1/18*z**4 + h*z**6 + 0*z**3 + 0*z + 0*z**2 - 2 - 4/45*z**5. What is n in f(n) = 0?
0, 1
Factor -2*u**4 + 6*u - 82*u**2 + 89*u**2 + 3*u**4 - 6*u**4 + 4*u**4.
-u*(u - 3)*(u + 1)*(u + 2)
Let f(d) be the first derivative of -8/45*d**3 + 0*d + 8 - 1/30*d**4 + 0*d**2. Factor f(s).
-2*s**2*(s + 4)/15
Let f be -3 + (-2353)/(-780) + (-1 - -1). Let l(y) be the third derivative of 0 + 1/12*y**4 - f*y**5 - 2*y**2 + 2/3*y**3 - 1/240*y**6 + 0*y. Factor l(o).
-(o - 2)*(o + 2)**2/2
Suppose 0 = -0*o + 2*o + 5*a + 18, -2*o + 4*a = -18. Let m be (-6)/12*(o - 7). Suppose -8 + 0*l - 12*l - m*l**2 - 4 = 0. What is l?
-2
Let o = 45 - 45. Factor -9*z + o*z**2 + z**3 + 15*z - 7*z**2.
z*(z - 6)*(z - 1)
Let y be ((-85)/10 - -9)/510. Let i(r) be the third derivative of 0 - 1/17*r**3 + 3*r**2 + y*r**6 + 7/204*r**4 + 0*r - 1/102*r**5. Factor i(q).
2*(q - 3)*(q - 1)**2/17
Let o(a) be the second derivative of -2*a + 0 + 1/21*a**3 + 1/7*a**2 - 1/70*a**5 - 1/42*a**4. Factor o(y).
-2*(y - 1)*(y + 1)**2/7
Let a = -139 - -143. Suppose a*d = m + 2*d - 1, -3*m = 5*d - 14. Let 2/5 - 2/5*j**2 + 2/5*j**m - 2/5*j = 0. Calculate j.
-1, 1
Suppose h - r = 2*h + 2, 4*h - r - 12 = 0. Factor 5*l + 5 + 1 - 6 + 3*l**h + 2.
(l + 1)*(3*l + 2)
Factor -8*g**2 - 161 + 11*g + 317 - 159.
-(g - 1)*(8*g - 3)
Let w(x) be the first derivative of -25*x**6/6 + 38*x**5 - 195*x**4/4 - 310*x**3/3 + 110*x**2 + 120*x + 73. Find u, given that w(u) = 0.
-1, -2/5, 1, 2, 6
Let f be (4212/(-315))/(-13) + (-6)/14. Factor -f*o**2 - 12/5*o + 0.
-3*o*(o + 4)/5
Determine c so that 10/9*c**3 + 2/9*c**5 + 4/9*c**2 + 8/9*c**4 + 0 + 0*c = 0.
-2, -1, 0
Let p(n) be the second derivative of n**4/15 + 4*n**3/5 + 11*n - 1. Let p(q) = 0. Calculate q.
-6, 0
Find j such that -875*j**5 - 873*j**5 + 1750*j**5 + 6*j**4 + 4*j**3 = 0.
-2, -1, 0
Factor 225*a**3 - 20 + 24*a**2 + 21*a**2 - 75*a + 125*a**2.
5*(a + 1)*(5*a + 1)*(9*a - 4)
Let l = -870 + 877. Let p(q) be the second derivative of -2/15*q**5 + 0*q**3 - 1/18*q**6 - 1/9*q**4 + 0 - 7*q - 1/126*q**l + 0*q**2. Factor p(s).
-s**2*(s + 1)*(s + 2)**2/3
Let z(d) = -12*d**2 + d + 3. Let i(y) = -13*y**2 + 2*y + 3. Suppose 