 derivative of y(f). Factor z(v).
(v + 2)**3/3
Let g = -988 - -994. Let a(s) be the first derivative of 0*s + 1/10*s**g + 0*s**2 - 3/25*s**5 + 1/5*s**3 + 7 - 3/20*s**4. Factor a(w).
3*w**2*(w - 1)**2*(w + 1)/5
Let p(c) be the third derivative of c**8/13440 - c**6/1440 + 5*c**4/12 + 11*c**2. Let t(v) be the second derivative of p(v). Factor t(g).
g*(g - 1)*(g + 1)/2
Let b(n) = 3*n**4 + 14*n**3 - 4*n**2 - 2*n - 2. Let o(r) = 7*r**4 + 28*r**3 - 10*r**2 - 5*r - 5. Let w(q) = 5*b(q) - 2*o(q). Suppose w(c) = 0. What is c?
-14, 0
Suppose 98*q - 457 = -261. Factor 1/7*r**q + r - 8/7.
(r - 1)*(r + 8)/7
Let b(q) be the second derivative of -q**7/28 + 3*q**6/10 + 3*q**5/4 - 5*q**4/2 - 9*q**3/4 + 21*q**2/2 - 8*q - 3. Find d such that b(d) = 0.
-2, -1, 1, 7
Factor 2/3*b**2 + 20 - 34/3*b.
2*(b - 15)*(b - 2)/3
Let a(j) be the first derivative of -j**4/4 - 11*j**3/9 - 2*j**2 - 4*j/3 + 111. Factor a(g).
-(g + 1)*(g + 2)*(3*g + 2)/3
Let z(j) = 8*j + 1. Let k be z(3). Let t be k - (2 - (2 - 1)). Suppose -15*n**2 + 3 + 3 + t*n + 3*n**3 - 14 - 4 = 0. Calculate n.
1, 2
Suppose 73*t - 33 = 71*t + 9*k, 2*t + 3*k = -3. Factor -8/5*w + 0 - 2/5*w**t + 8/5*w**2.
-2*w*(w - 2)**2/5
Let r be ((-4)/(-8))/(2/20). Suppose -99*v = -282 - 114. Let 2/5*t**3 + 7/5*t - 2/5 - 1/5*t**r - 8/5*t**2 + 2/5*t**v = 0. What is t?
-2, 1
Factor -49/8*k - 3/4 + 17/8*k**2.
(k - 3)*(17*k + 2)/8
Let o = 1369 + -1367. Let w(x) be the second derivative of 1/75*x**6 + 3/20*x**4 + 1/10*x**2 - 7/100*x**5 + o*x + 0 - 1/6*x**3. Suppose w(v) = 0. What is v?
1/2, 1
Suppose -2*j - 3 = -21. Suppose j*f = -0*f. Solve 1/5*g**5 - 2/5*g**4 + 1/5*g**3 + f*g**2 + 0*g + 0 = 0.
0, 1
Let q(r) be the first derivative of 14/3*r**2 - 1/9*r**3 - 196/3*r + 50. Factor q(w).
-(w - 14)**2/3
Let q = 15 - 10. Factor j**2 - 3 + 3 - 1 + q*j + 5.
(j + 1)*(j + 4)
Solve 2/15*b**3 - 21296/15 + 968/5*b - 44/5*b**2 = 0 for b.
22
Let m(t) be the second derivative of -1/90*t**6 + 11*t + 1/6*t**2 + 0*t**4 + 0 + 1/9*t**3 - 1/30*t**5. Solve m(j) = 0.
-1, 1
Factor 18*f - 45 - 9*f**4 + 19*f + 47*f**2 + 51 + 7*f**3.
-(f - 3)*(f + 1)**2*(9*f + 2)
Let k be 2/45*(-3 - -2 - -13). Suppose 6*s = -71 + 83. Solve -2/5 - 2/15*h**s + k*h = 0.
1, 3
Determine i, given that 64/5*i + 4*i**2 + 12/5 = 0.
-3, -1/5
Let v = -1023 - -1027. Let y(n) be the first derivative of 6 + 1/3*n**v + 0*n + 20/9*n**3 + 0*n**2. Determine j, given that y(j) = 0.
-5, 0
Let r(o) be the second derivative of -4*o**6/45 - 2*o**5/3 - 37*o**4/18 - 10*o**3/3 - 3*o**2 + 3*o - 12. Factor r(k).
-2*(k + 1)**2*(2*k + 3)**2/3
Suppose 219*n - 220*n = -5*q + 8, -6 = -n - 2*q. Let l(m) be the second derivative of -1/2*m**3 - 1/20*m**5 - 1/4*m**4 + 12*m + 0 - 1/2*m**n. Factor l(w).
-(w + 1)**3
Let h = 11224 - 11218. Suppose -8/5*o**2 + 8/5 - h*o = 0. Calculate o.
-4, 1/4
Suppose 1331*d + t = 1336*d - 2, 13*t + 26 = 0. Factor d + 4/3*x - 4/3*x**2 + 1/3*x**3.
x*(x - 2)**2/3
Suppose 5*q = -q - 108. Let o = 21 + q. Let -o + 3*d + 2*d**2 - d**2 - 4*d**3 + 2*d**2 + d**3 = 0. What is d?
-1, 1
Find m, given that 15*m - 2 - 45*m**2 + 145*m**2 + 18 - 116*m**4 - 36*m**5 + 81*m - 60*m**3 = 0.
-2, -1, -2/9, 1
Let s be (-45)/(-7)*22/33. Find w such that 12/7*w + 24/7 - s*w**2 + 9/7*w**3 = 0.
-2/3, 2
Factor -22/19*s**3 + 2/19*s**4 + 52/19*s**2 + 0 - 32/19*s.
2*s*(s - 8)*(s - 2)*(s - 1)/19
Suppose 76 = 4*s - 44. Let l = -27 + s. Find f such that 0 + 5/2*f**l - 9/2*f**2 + 9/2*f**4 + f - 7/2*f**5 = 0.
-1, 0, 2/7, 1
Let s = 3587/45 + -398/5. Factor 4/9 + 4/9*b + s*b**2.
(b + 2)**2/9
Let s be 748/(-36) - (-6)/(-27). Let d be s/(-28) + (-87)/(-12). Find o, given that 30*o - d*o**3 - 44*o**2 + 14*o**5 + 5*o**4 - 36*o**5 - 4 + 43*o**4 = 0.
-1, 2/11, 1
Let v be 1/(-2) + 5/(10/(-23)). Let a be 0 + 2 - (-68)/v - -4. Let -a*r**5 + 8/3*r**2 + 2/3*r**3 + 7/3*r + 2/3 - 2/3*r**4 = 0. Calculate r.
-1, 2
Let l(h) be the second derivative of h**5/4 - 15*h**4 + 360*h**3 - 4320*h**2 - 4*h. Factor l(x).
5*(x - 12)**3
Suppose -2*n - 6 - 6 = 0. Let k be (-12)/(-9) + (-4)/n. Factor 2*t - 14 - 2*t**k + 14.
-2*t*(t - 1)
Suppose t = -0*t + 2. Let g = 18 + -12. Factor 7*l**2 + l - l**4 - g*l**2 - 4*l**t + 3*l**3.
-l*(l - 1)**3
Find l, given that 1291*l - 28*l**3 + 3*l**4 + 12 - 43*l**2 - 1299*l - 8*l**4 = 0.
-3, -2, -1, 2/5
Let w(m) be the first derivative of 1/7*m**2 - 18 - 1/7*m**4 + 1/21*m**6 + 2/7*m - 4/21*m**3 + 2/35*m**5. Factor w(z).
2*(z - 1)**2*(z + 1)**3/7
Let h(u) be the first derivative of -1/8*u**4 - 1/3*u**3 + u - 3 + 1/4*u**2. Suppose h(r) = 0. What is r?
-2, -1, 1
Factor -69 + 38 - 773*m**2 - 72*m**2 - 53 + 650*m - 41.
-5*(13*m - 5)**2
Factor 2874*p - 3*p**3 + 18 - 180 + 84*p**2 + 2929*p - 5878*p.
-3*(p - 27)*(p - 2)*(p + 1)
Find i, given that -16*i**4 + 2*i**5 + 16*i**2 - 367*i + 30*i**3 + 53 + 335*i - 53 = 0.
-1, 0, 1, 4
Let z(p) = 4*p**4 - p**3 - 7*p**2 + p + 3. Let m(s) = -7*s**4 + 2*s**3 + 13*s**2 - 3*s - 5. Let b(x) = 3*m(x) + 5*z(x). Determine t, given that b(t) = 0.
-2, 0, 1, 2
Suppose 9 - 11/2*l + 1/2*l**2 = 0. What is l?
2, 9
Solve 49*f**2 + 325*f + 59 + 37*f**2 + 5*f**3 + 110 - 6*f**2 + 81 = 0.
-10, -5, -1
Let r = -15/8 + 27/8. Determine b so that r*b - 9/4 + 3/4*b**2 = 0.
-3, 1
Let s be (-6 + 72)/3*21/(-6). Let v = s - -541/7. Factor -3/7 + v*k + 1/7*k**2.
(k - 1)*(k + 3)/7
Let h(i) = 15*i + 555. Let y be h(-37). Factor 15*o**2 - 45*o + y - 5/4*o**3.
-5*o*(o - 6)**2/4
Let n(f) be the second derivative of 0*f**2 - 1/4*f**5 + 0*f**3 - 4*f + 5/6*f**4 + 0. Factor n(v).
-5*v**2*(v - 2)
Let t(p) = -p**2 + 3*p - 4. Let n be t(5). Let i be (20/n)/(-5) - (-12)/105. Suppose -i*g**2 + 4/5*g - 2/5 = 0. Calculate g.
1
Let r(n) be the first derivative of -4*n**3/3 + 128*n**2 - 4096*n - 68. Find g such that r(g) = 0.
32
Factor -4/3*a - 2/3 - 2/3*a**2.
-2*(a + 1)**2/3
Determine v so that -8/5 - 34/5*v**2 - 8/5*v**3 - 8*v = 0.
-2, -1/4
Factor -60*j + 17*j + 33*j + 28*j + 44 - 2*j**2.
-2*(j - 11)*(j + 2)
Let o(b) be the third derivative of -b**6/840 - b**5/56 - b**4/14 - b**3 + 2*b**2. Let m(q) be the first derivative of o(q). Let m(f) = 0. Calculate f.
-4, -1
Let q(r) = -r**2 - 14*r - 31. Let k = 19 + -30. Let x be q(k). Factor -8/11*z + 8/11 + 2/11*z**x.
2*(z - 2)**2/11
Let q(r) be the first derivative of r**6/40 - 3*r**5/10 + 3*r**4/2 - 4*r**3 + 33*r**2/2 - 25. Let b(u) be the second derivative of q(u). Factor b(v).
3*(v - 2)**3
Let x(r) be the second derivative of 8/3*r**3 + 16*r**2 + 1/6*r**4 + 10*r + 0. Suppose x(m) = 0. Calculate m.
-4
Let x(q) = -18 - q - 6*q**2 - 14 + 39. Let g(j) = 2 - 2*j**2 - 1 + j**2. Let p(s) = 39*g(s) - 6*x(s). Suppose p(o) = 0. What is o?
1
Let k(a) be the first derivative of a**5/60 - a**3/6 + 2*a**2 - 13. Let p(w) be the second derivative of k(w). Factor p(q).
(q - 1)*(q + 1)
Let q(x) be the first derivative of 63/25*x**5 + 3*x**2 - 59/15*x**3 - 49/60*x**6 - 24 - 4/5*x - 11/40*x**4. Find z, given that q(z) = 0.
-1, 2/7, 1, 2
Let r = 137 + -137. Let h(f) be the third derivative of r*f + 3*f**3 + 0 - 1/2*f**4 + 1/30*f**5 - 7*f**2. Find o, given that h(o) = 0.
3
Let y = -2337 - -2339. Factor 2/11 - 2/11*n**3 - 2/11*n**y + 2/11*n.
-2*(n - 1)*(n + 1)**2/11
Let y(k) = 52*k**2 + 47*k + 2. Let h be y(-1). Suppose 1/7*j**2 - 2*j + h = 0. Calculate j.
7
Let n = -6 + 9. Let q be (n + -3 - -1)*2. Factor -2/3*y - 4/9 + 10/9*y**q.
2*(y - 1)*(5*y + 2)/9
Let t(v) = 27*v**2 - 2*v**3 - 98 - 73*v - 21*v**2 + 20*v**2. Let l(f) = 22*f**3 - 286*f**2 + 804*f + 1078. Let c(k) = -6*l(k) - 68*t(k). What is x in c(x) = 0?
-1, 7
Factor 72/13*c**3 + 32/13*c**2 + 22/13*c**4 + 2/13*c**5 - 128/13*c + 0.
2*c*(c - 1)*(c + 4)**3/13
Let d(a) be the first derivative of -5*a**6/6 + 34*a**5 - 80*a**4 - 10*a**3/3 + 325*a**2/2 - 160*a + 663. Suppose d(h) = 0. Calculate h.
-1, 1, 32
Factor -16/9*m**3 + 0*m + 14/9*m**2 + 0 + 2/9*m**4.
2*m**2*(m - 7)*(m - 1)/9
Let n(l) be the third derivative of 0*l + 0 - 169/10*l**3 - 17*l**2 - 1/100*l**5 - 13/20*l**4. Factor n(r).
-3*(r + 13)**2/5
Let q(u) be the first derivative of -50 + 128/3*u + 2/9*u**3 + 16/3*u**2. Suppose q(z) = 0. Calculate z.
-8
Let p = 18 + -11. Factor 8*r - p*r**2 - 10*r + r**3 + 17*r - 10 + 1.
(r - 3)**2*(r - 1)
Let r(z) be the third derivative of z**7/840 - 11*z**6/480 + 11*z**5/80 - 3*z**4/32 - 9*z**3/4 + 274*z**2. Determine x, given that r(x) = 0.
-1, 3, 6
Let 46*