160/11*f**2 - 80/11*f**3 - 64/11.
-2*(f + 2)**5/11
Let v(p) = -3*p - 16. Let i be v(-8). Factor -3*r**3 - 6*r**2 - 9*r**5 - i*r**3 + 2*r**3 + 12*r**5.
3*r**2*(r - 2)*(r + 1)**2
Let c(o) be the second derivative of 2*o**6/15 + 7*o**5/5 + 17*o**4/3 + 34*o**3/3 + 12*o**2 + 444*o. Suppose c(r) = 0. Calculate r.
-3, -2, -1
Let s(w) be the third derivative of -w**6/840 - 29*w**5/420 + 16*w**4/21 - 22*w**3/7 + 155*w**2 + 1. Find t such that s(t) = 0.
-33, 2
Let o(r) be the third derivative of r**8/448 + 23*r**7/280 + 143*r**6/160 + 121*r**5/80 - 12*r**2 - 4*r. Factor o(w).
3*w**2*(w + 1)*(w + 11)**2/4
Let l(z) = 2*z**2 + 17*z - 429. Let t be l(11). Solve -2/5*d + 6/5*d**2 + t = 0 for d.
0, 1/3
Let b(x) be the third derivative of 5/24*x**4 + 0*x**3 + 0 + 5/336*x**8 + 0*x - 5*x**2 - 1/3*x**5 - 2/21*x**7 + 1/4*x**6. Factor b(m).
5*m*(m - 1)**4
Let m(d) = -d**3 + 8*d**2 - 7*d + 7. Suppose 0*f - 7 = -f. Let j be m(f). Factor 6*i + 0*i**5 + j*i**4 - 4*i**4 - 3*i**2 + 3*i**5 - 9*i**3.
3*i*(i - 1)**2*(i + 1)*(i + 2)
Let d(q) be the second derivative of q**6/15 + 3*q**5/10 - 4*q**3/3 + 8*q + 2. Find u, given that d(u) = 0.
-2, 0, 1
Suppose q - 3 = b + 15, -12 = 4*b. Let u = q + -19. Let v(i) = 4*i**2 - 2. Let o(c) = 13*c**2 + c - 7. Let s(n) = u*o(n) + 14*v(n). Factor s(k).
4*k*(k - 1)
Let y(i) be the second derivative of -i**7/14 - i**6/2 - 21*i**5/20 + i**4/4 + 4*i**3 + 6*i**2 + 175*i. Determine d, given that y(d) = 0.
-2, -1, 1
Let l be 0 - ((-8)/6)/((-36)/(-54)). Let q(v) be the second derivative of 0*v**l + 1/10*v**5 + 1/12*v**4 + v + 0*v**3 + 0 + 1/30*v**6. Factor q(s).
s**2*(s + 1)**2
Let r(q) be the second derivative of q**4/90 + 11*q**3/45 - 34*q. Suppose r(l) = 0. Calculate l.
-11, 0
Let i be 5 - -2 - (5 - 2). Suppose -4*q - 12 = 4*k, i*k + 2*q = k - 4. Factor -4*n**2 + 6*n**k - 16*n - 32 + 0*n**2 - 4*n**2.
-2*(n + 4)**2
Let k(r) = -2*r + 3. Let c(i) = 6*i - 9. Let d(j) = -3*c(j) - 8*k(j). Let b be d(0). Find a such that a**3 + b*a**3 + a**3 + a**2 - 3*a**4 + a**2 = 0.
-1/3, 0, 2
Solve 41*v**2 - 412*v + 43*v**2 + 40*v**2 - 120*v**2 = 0 for v.
0, 103
Let a(s) be the third derivative of s**6/200 - 3*s**5/50 - 7*s**4/40 - 4*s**2 - 8. Factor a(l).
3*l*(l - 7)*(l + 1)/5
Let s(b) = -b**4 - 53*b**3 + 28*b**2 + 187*b - 181. Let r(c) = c**4 + 27*c**3 - 14*c**2 - 93*c + 91. Let n(w) = 10*r(w) + 6*s(w). Suppose n(v) = 0. Calculate v.
-2, 1, 2, 11
Let n(d) = -7*d**4 - 16*d**3 - 21*d**2 - 12*d. Let l(u) = 20*u**4 + 47*u**3 + 64*u**2 + 37*u. Let m(f) = -6*l(f) - 17*n(f). Determine c, given that m(c) = 0.
-6, -3, -1, 0
Let d be (55/70)/(-11)*-2 + 75/63. Factor 8/3 - 4/3*s**2 - d*s.
-4*(s - 1)*(s + 2)/3
Let c(i) be the second derivative of i**4/18 - i**3 + 14*i**2/3 - 23*i. Suppose c(x) = 0. What is x?
2, 7
Let r = 57 - 144. Let a = r - -436/5. Factor a*n**4 + 2/5*n - 3/5*n**2 + 0*n**3 + 0.
n*(n - 1)**2*(n + 2)/5
Let c(x) be the second derivative of -x**4/90 + 2*x**3/3 - 15*x**2 + 77*x. Factor c(o).
-2*(o - 15)**2/15
Let y(o) be the first derivative of -o**5 - 85*o**4/4 - 220*o**3/3 - 70*o**2 - 552. Factor y(w).
-5*w*(w + 1)*(w + 2)*(w + 14)
Let h(v) = v**5 + 2*v**3 - 1. Let j(o) = -4*o**5 - 30*o**3 - 8*o**2 + 24*o + 6. Let n(z) = -6*h(z) - j(z). Determine q, given that n(q) = 0.
-2, 0, 1, 3
Factor 6*w**4 - 42*w**4 - 5*w**5 + 81*w**3 - 42*w**2 + 2*w**5.
-3*w**2*(w - 1)**2*(w + 14)
Let j(z) be the first derivative of 5*z**6/33 - 56*z**5/55 + 24*z**4/11 - 32*z**3/33 - 16*z**2/11 - 20. Let j(b) = 0. What is b?
-2/5, 0, 2
Suppose -7*l - 308 = -11*l. Let m**4 - 490*m + 375 + 45 + 168*m**2 - l - 22*m**3 = 0. Calculate m.
1, 7
Let a(c) be the first derivative of c**3/8 + 297*c**2/8 + 29403*c/8 + 275. Factor a(i).
3*(i + 99)**2/8
Let x(j) be the first derivative of -2*j**7/735 - j**6/105 - 2*j**2 + 7. Let r(u) be the second derivative of x(u). Factor r(y).
-4*y**3*(y + 2)/7
Let x(y) = -6*y**2 - 47*y - 34. Let a(b) = b**2 + 8*b + 6. Let o(g) = 34*a(g) + 6*x(g). Solve o(c) = 0.
-5, 0
Factor 1/4*a**4 + 0 + 3/4*a - 3/4*a**3 - 1/4*a**2.
a*(a - 3)*(a - 1)*(a + 1)/4
Factor -108 + 181*l + 17*l**2 + 83*l - 2*l**2.
3*(l + 18)*(5*l - 2)
Let d(q) be the second derivative of q**6/180 - q**5/60 - q**4/6 - 2*q**3/3 + 9*q. Let c(h) be the second derivative of d(h). What is b in c(b) = 0?
-1, 2
Let g(d) be the second derivative of -d**5/80 + 3*d**4/16 + 7*d**3/8 - 55*d**2/2 + 2*d - 13. Let r(x) be the first derivative of g(x). Factor r(z).
-3*(z - 7)*(z + 1)/4
Let h be 12 + (-24225)/3213 + 1/9. Factor -h*g + 128/7 + 2/7*g**2.
2*(g - 8)**2/7
Let d be 1824/144 - 12/1. Let -2/9*j**2 - d - 8/9*j = 0. Calculate j.
-3, -1
Let f(z) be the second derivative of 49*z**6/20 - 8883*z**5/40 - 213*z**4 - 61*z**3 - 3*z + 70. Let f(b) = 0. Calculate b.
-2/7, 0, 61
Let m(a) = 63*a**2 - 15*a**3 + 45*a + 18 - 28*a + 43*a. Let v(c) = -4*c**3 + 18*c**2 + 17*c + 5. Let h(o) = 5*m(o) - 18*v(o). Find x such that h(x) = 0.
-2, -1, 0
Let h(j) = -8*j**2 - 224*j + 3. Let l be h(-28). Let n(a) be the second derivative of 1/48*a**4 + 1/8*a**l + 7*a + 0 + 1/4*a**2. Factor n(i).
(i + 1)*(i + 2)/4
Let g = -1416/41 + 8537/246. Solve 8/3 - 20/3*j + 11/2*j**2 - 5/3*j**3 + g*j**4 = 0 for j.
1, 4
Let s(m) be the first derivative of -m**5/20 + m**4/4 - m**3/4 - m**2/2 + m - 437. Factor s(r).
-(r - 2)**2*(r - 1)*(r + 1)/4
Let f(z) be the first derivative of -28/25*z**5 + 8/15*z**3 - z**4 + 3 + 0*z + 0*z**2. Factor f(l).
-4*l**2*(l + 1)*(7*l - 2)/5
Let p be (-28)/(-42) - (-1)/36*3. Factor p - 3/8*o**2 - 3/8*o.
-3*(o - 1)*(o + 2)/8
Let t be 4342*5/110 + 6 + -2. Let x = -201 + t. Factor 2/11*y**3 + 0 - 2/11*y**2 - x*y.
2*y*(y - 2)*(y + 1)/11
Let m be 4/(-30)*-5 - (-4)/(-18). Let x(t) be the first derivative of 2 + m*t**3 + 2/9*t + 2/45*t**5 - 4/9*t**2 - 2/9*t**4. Determine a so that x(a) = 0.
1
Suppose -5*v + 2*v = -0*v. Suppose v = 5*n, o + 5*n = -1 + 4. Solve 8/5*j**2 + 2/5*j**o - 2/5*j - 8/5*j**4 + 0 = 0.
-1, 0, 1/4, 1
Let c(y) = -y**2 + 8*y + 2. Let n be c(6). Let o be (-27)/9 + n/2. Find g, given that 120*g - o*g**5 + 24*g**4 - 37*g**3 - 15*g**3 + 48*g**2 - 136*g = 0.
0, 1, 2
Suppose -53 - 39 = -2*h. Factor -4*k - 38 + 0*k**2 - 7*k**2 + 3*k**2 + h.
-4*(k - 1)*(k + 2)
Suppose 0 = 5*z - 719 + 694. Let y(t) be the second derivative of -1/30*t**4 - 1/225*t**6 + t + 1/50*t**z + 0*t**2 + 0 + 1/45*t**3. Factor y(o).
-2*o*(o - 1)**3/15
Suppose -2*q + 0*q - 2*d + 40 = 0, 5*d + 20 = 0. Suppose -35*a - 47*a - 32 + 15*a - 13*a - q*a**2 + 36*a**3 = 0. Calculate a.
-2/3, 2
Let v(z) be the second derivative of -z**5/70 - 55*z**4/42 - 261*z**3/7 - 729*z**2/7 - 48*z. Solve v(k) = 0.
-27, -1
Let p(o) be the first derivative of -3*o**5/10 + 9*o**4/8 - 3*o**2 - 190. Solve p(j) = 0.
-1, 0, 2
Let h(f) be the second derivative of 0*f**6 - 20/3*f**2 + 0 + 7/12*f**5 - 10/3*f**3 - 5/126*f**7 - 8*f + 5/18*f**4. Suppose h(b) = 0. Calculate b.
-2, -1, 2
Let v(c) be the third derivative of -c**6/120 + 209*c**5/60 - 1378*c**4/3 + 5408*c**3/3 + 10*c**2 - 5. Factor v(r).
-(r - 104)**2*(r - 1)
Let j(v) be the third derivative of v**6/360 + 3*v**5/20 - 19*v**4/24 + 29*v**3/18 - 139*v**2 + 3*v. Determine x, given that j(x) = 0.
-29, 1
Let z = -119 + 121. Suppose -5*b = -3*o - 9, 5*b = -z*o + 2*b + 13. Solve 1/6*v - 1/6*v**o + 0 = 0 for v.
0, 1
Let d(c) be the second derivative of -c**5/90 - c**4/3 - 4*c**3 - 5*c**2/2 + 31*c. Let j(b) be the first derivative of d(b). Factor j(q).
-2*(q + 6)**2/3
Let f be ((-14)/112)/(4/(-16)). Suppose -5/2*m - 2 - f*m**2 = 0. Calculate m.
-4, -1
Let o(p) = -p**2 + 6*p + 10. Let u be o(8). Let f be (-31)/(-11) - u/33. What is i in i**5 - 3*i**3 - 3*i - 2*i**4 + 2*i**2 + 5*i**f - i**4 + 1 = 0?
-1, 1
What is r in -1398*r**3 - 1406*r**3 - 32*r**4 - 8*r**2 + 2872*r**3 = 0?
0, 1/8, 2
Let f(v) = -v**2 - 1. Let t(r) = -3*r**2 - 15*r + 2. Let w be ((-12)/(-18) + 0)*-3. Let o(d) = w*f(d) - t(d). Factor o(l).
5*l*(l + 3)
Let l = 51 - 41. Suppose 0 + l = 5*q. What is u in 1/4*u**q + 1/4*u + 0 = 0?
-1, 0
What is c in 560*c**2 - 490*c - 145/2*c**3 + 5/2*c**4 + 0 = 0?
0, 1, 14
Let b(w) be the first derivative of 4*w**3/3 - 14*w**2 + 40*w - 570. Factor b(l).
4*(l - 5)*(l - 2)
Let z(w) = -w**3 - w**2 - 1. Let h be z(-2). Factor -187*b**5 + 100*b**5 - 3*b**3 - 3*b**4 - 5*b**h + 96*b**5 + 4*b**2.
b**2*(b + 1)*(3*b - 2)**2
Let k(g) be the third