late i.
-3/2, -1, 1
Solve -2/3*f**2 + 8/3*f + 10/3 = 0.
-1, 5
Let z(y) be the first derivative of 2*y**3/15 + 21*y**2 + 412*y/5 - 1024. Factor z(t).
2*(t + 2)*(t + 103)/5
Let f(j) = -j**3 - 2*j**2. Let g(q) = q**3 + 6*q**4 + 28*q**3 - 4*q**3 - 69*q**2 + 31*q**2. Let z(a) = 14*f(a) - 2*g(a). Find r, given that z(r) = 0.
-6, 0, 2/3
Let v(w) be the third derivative of -w**5/4 - w**4/4 + 36*w**3 + 3005*w**2. Determine u so that v(u) = 0.
-4, 18/5
Let i = 230 - 1420. Let n = -1186 - i. Solve 21*x + 3/2*x**n - 15/2 + 3*x**3 - 18*x**2 = 0.
-5, 1
Let y(z) be the third derivative of z**6/360 + 97*z**5/180 + 3501*z**2. Factor y(f).
f**2*(f + 97)/3
Let d(r) be the second derivative of -r**5/120 + 19*r**4/18 - 149*r**3/36 + 37*r**2/6 - 121*r + 2. Suppose d(g) = 0. Calculate g.
1, 74
Let l = 1378999/3 + -459666. Suppose -5*p + 4*p = 0. Find c, given that p + 1/3*c**3 - 4/3*c - l*c**4 + 4/3*c**2 = 0.
-2, 0, 1, 2
Let s(j) be the third derivative of j**7/945 + 29*j**6/540 + 109*j**5/135 + 7*j**4/27 - 392*j**3/9 + 3*j**2 + 3*j + 53. Solve s(k) = 0.
-14, -3, 2
Let o(t) be the second derivative of 1/360*t**5 + 6*t + t**3 - 13/2*t**2 + 0 - 1/12*t**4. Let i(a) be the first derivative of o(a). Factor i(w).
(w - 6)**2/6
Suppose -78*u - 101*u + 236 = -61*u. Solve 216/11 + 6/11*x**u + 72/11*x = 0 for x.
-6
Let x(u) = u**2 - 9*u. Let s be x(9). Suppose -w + 5*w - 16 = s. Determine o, given that 10 - 3*o**2 - 4 - 19*o**w + 9*o**3 - 3*o + 16*o**4 - 6*o = 0.
-1, 1, 2
Let q(p) be the first derivative of 8*p**3/33 + 404*p**2/11 + 20402*p/11 - 766. Factor q(k).
2*(2*k + 101)**2/11
Let h(i) be the second derivative of -9/40*i**5 + 1/40*i**6 - 8*i - 48*i**2 + 8 - 1/2*i**4 + 12*i**3. Determine n so that h(n) = 0.
-4, 2, 4
Let q(w) be the first derivative of 3*w**5/5 + 36*w**4 + 471*w**3 - 3822*w**2 + 6084*w - 516. Factor q(p).
3*(p - 3)*(p - 1)*(p + 26)**2
Find k such that -85416*k**4 + 42710*k**4 - 351*k**3 + 594 + 1434*k**2 - 1665*k + 42694*k**4 = 0.
-33, 3/4, 1, 2
Let l(y) be the first derivative of 12*y - 3 + y**3 + 15/2*y**2. Determine s so that l(s) = 0.
-4, -1
Let c = 117767/147190 + -3/29438. Let -c*y - 2/5*y**2 + 0 = 0. What is y?
-2, 0
Suppose -4004 = 4*n - 4*y, n + 550 = 4*y - 451. Let r be 3 - 57/21 - 1352/n. Factor 0 - 12/11*t - r*t**2 - 6/11*t**3.
-6*t*(t + 1)*(t + 2)/11
Let w be 15 + -23 + -8 + 21. Let n(v) be the third derivative of -1/60*v**6 + 0 + 8*v**2 - 1/10*v**w + 0*v - 1/4*v**4 - 1/3*v**3. Factor n(q).
-2*(q + 1)**3
Let y be ((-25)/5 - 658)/(-3). Factor 149*v**3 - 32*v**4 - y*v**3 + v**5 - 64*v**2 - 20*v - 5*v**5.
-4*v*(v + 1)**3*(v + 5)
Let t(p) be the third derivative of 7*p - 15*p**2 + 0*p**4 + 5/6*p**3 + 0 - 1/12*p**5. Factor t(f).
-5*(f - 1)*(f + 1)
Suppose 3176 = 1532*i + 520*i - 464*i. Factor 8/3*y**3 + 0*y + 0*y**4 + 0*y**i + 0 - 2/3*y**5.
-2*y**3*(y - 2)*(y + 2)/3
Let r be ((-90)/7)/((-24)/(-896)). Let b be (-3)/4 - 360/r. Determine h, given that 14/3*h**2 - 49/3*h + b - 1/3*h**3 = 0.
0, 7
Factor 15280*w**2 + 92*w**4 + 68992*w - 33*w**5 - 35*w**5 + 135*w**5 - 33*w**5 + 1682*w**3 - 32*w**5 + 123904.
2*(w + 8)**3*(w + 11)**2
Let z = -1466 - -1475. Let f be z + 340/(-40) - 1/8. Factor -f - 9/4*g**2 + 21/8*g.
-3*(g - 1)*(6*g - 1)/8
Suppose 105/4*d - 18 + 39*d**2 - 21/4*d**3 = 0. What is d?
-1, 3/7, 8
Let m(h) be the first derivative of -h**5/5 + 9*h**4/2 - 31*h**3 + 68*h**2 - 60*h - 2097. Factor m(w).
-(w - 10)*(w - 6)*(w - 1)**2
Let i(n) = 10*n**2 - 37*n**2 + 1 - n**3 + 11*n**2 + 15*n**2 + n. Let a(t) = 9*t**3 + 13*t - 26. Let v(o) = 5*a(o) + 40*i(o). Let v(c) = 0. Calculate c.
2, 3
Let v be 81/12 - (-20)/16. Suppose 0*m - v = -4*m. Factor 9*a**2 + 15*a + 15*a**3 - 12*a + 9*a + 3*a**4 + 15*a**m.
3*a*(a + 1)*(a + 2)**2
Let n(d) be the first derivative of -d**6/480 + d**5/32 + 3*d**4/16 - 43*d**3/3 - 37. Let w(a) be the third derivative of n(a). Let w(t) = 0. What is t?
-1, 6
Let d(u) be the third derivative of u**6/660 + 1319*u**5/110 + 1739761*u**4/44 + 2294744759*u**3/33 + 2*u**2 - 419. Let d(z) = 0. Calculate z.
-1319
Let g be ((-42)/(-6) - -24)*-27. Let k = g - -842. Determine w, given that 0*w + 14/13*w**k + 4/13*w**4 - 14/13*w**3 + 0 - 4/13*w**2 = 0.
-1, -2/7, 0, 1
Let o(r) be the third derivative of -5*r**8/168 - 937*r**7/105 - 2219*r**6/60 + 197*r**5/30 + 556*r**4/3 + 740*r**3/3 - 6296*r**2. Find h, given that o(h) = 0.
-185, -2, -1, -2/5, 1
Solve -48/5*r + 2/5*r**2 - 224/5 = 0 for r.
-4, 28
Suppose l**2 + 3*l**2 - 10*l**4 + 11147*l**3 - 240 - 11253*l**3 + 616*l = 0. Calculate l.
-10, -3, 2/5, 2
Let b(g) be the first derivative of g**5/10 - 3*g**4/8 + g**3/6 + 3*g**2/4 - g - 29. Factor b(y).
(y - 2)*(y - 1)**2*(y + 1)/2
Let c(d) = 3*d**2 - 112*d - 68. Let j be c(38). Let m be 12/10 + (1 - -7 - j). Factor -9/5*i + m + 3/5*i**2.
3*(i - 2)*(i - 1)/5
Let b(i) be the first derivative of -2*i**5/3 + 31*i**4/6 - 44*i**3/3 + 52*i**2/3 - 16*i/3 - 1556. Factor b(o).
-2*(o - 2)**3*(5*o - 1)/3
Factor 120*y**4 - 78*y**4 - 24*y - 43*y**4 + 11*y**3 + 14*y**2.
-y*(y - 12)*(y - 1)*(y + 2)
Let s = 2/43199 - -431968/475189. Let c = 3/11 + 1/11. Factor -6/11*k**2 + c*k - s*k**3 + 0.
-2*k*(k + 1)*(5*k - 2)/11
Let m(n) be the third derivative of n**6/30 + n**5/5 - 13*n**4/6 - 10*n**3 - 537*n**2. Factor m(x).
4*(x - 3)*(x + 1)*(x + 5)
Suppose -2*v - v - 3 = 0. Let x(h) = 1. Let j(t) be the third derivative of -t**5/60 - 5*t**3/6 - 133*t**2. Let i(k) = v*j(k) - 6*x(k). Let i(b) = 0. What is b?
-1, 1
Let q(z) be the first derivative of -1/1800*z**6 + 21 - 1/30*z**4 + 0*z - 5/3*z**3 + 1/150*z**5 + 0*z**2. Let u(m) be the third derivative of q(m). Factor u(x).
-(x - 2)**2/5
Let h(f) = -f**3 - 5*f**2 - 9*f - 6. Let l be h(-3). Suppose -j - l = p - 1, 3*j + 2*p + 1 = 0. Factor 13*c**3 - 9*c**2 - 1 - 9*c**j - 3*c**2 + 12*c - 3.
4*(c - 1)**3
Factor 0*h - 3*h**2 - 9/4*h**4 + 0 - 14*h**3.
-h**2*(h + 6)*(9*h + 2)/4
Let m = -195451 - -3323851/17. Determine l, given that 2114/17*l**2 - m*l + 168/17 - 98/17*l**3 = 0.
2/7, 21
Let h be 17 - 50/10 - 10. Let t be 1/(-2) + (-306)/(-68). Factor 0 + 27/4*g**h + 3/4*g**t + 9/2*g**3 + 0*g.
3*g**2*(g + 3)**2/4
Let p = -1175 - -1766. Let f = -586 + p. Suppose 0*w - 6/11*w**4 + 0*w**2 + 4/11*w**3 + 0 + 2/11*w**f = 0. What is w?
0, 1, 2
Let q(g) be the first derivative of g**6/3 - 136*g**5/5 + 504*g**4 + 3456*g**3 + 2256. Factor q(v).
2*v**2*(v - 36)**2*(v + 4)
Let m be (-2)/8 + 22/627 + 505/228. Let 4/5*n**m - 48/5 - 4/5*n = 0. Calculate n.
-3, 4
Let w(i) = -i**2 + 19*i + 9. Let f be w(19). Factor -7*s**2 - 25*s**4 + 4*s**2 + 5*s**2 + f*s**3 + 23*s**2 + 5*s**5 + 6*s**3 - 20*s.
5*s*(s - 4)*(s - 1)**2*(s + 1)
Let x(l) be the third derivative of l**6/72 - 13*l**5/24 - 35*l**4/12 - 10*l**3 - 32*l**2. Let h(w) be the first derivative of x(w). Factor h(k).
5*(k - 14)*(k + 1)
Suppose 12 = w - 2*p, -22*w + 24*w = 5*p + 25. Let a be ((-95)/w + 9)*(1 - 5). Factor -72/7*i**3 - 384/7*i + 6/7*i**4 + 0 + 288/7*i**a.
6*i*(i - 4)**3/7
Let q(g) be the third derivative of -13/210*g**6 + 72*g**2 + 0 + 8/21*g**3 + 0*g - 1/14*g**5 + 1/105*g**7 + 13/42*g**4. Suppose q(s) = 0. What is s?
-1, -2/7, 1, 4
Let b(f) be the first derivative of 27/4*f**4 + 2/5*f**5 - 14/3*f**3 + 49 + 0*f + 0*f**2. Factor b(p).
p**2*(p + 14)*(2*p - 1)
Let z(y) be the first derivative of y**4/32 + 3*y**3/8 - 3*y**2 + 13*y/2 - 3919. Determine m so that z(m) = 0.
-13, 2
Let t(v) = v**2 - 15*v + 8*v - 1 - 2*v**2. Let n(m) = 3*m. Let l(y) = -2*y + 1. Let z be l(3). Let h(r) = z*n(r) - 3*t(r). Suppose h(g) = 0. Calculate g.
-1
Let z(i) be the second derivative of -7/18*i**3 - 1/6*i**4 - 1/6*i**2 + 0 - 175*i. Factor z(t).
-(t + 1)*(6*t + 1)/3
Let w be 2880/(-800)*(1 + 155/(-105)). Determine l, given that 0*l - w + 3/7*l**2 = 0.
-2, 2
Let s(g) be the second derivative of -g**5/10 - 47*g**4/6 - 134*g**3/3 - 88*g**2 + 6*g + 10. Factor s(i).
-2*(i + 1)*(i + 2)*(i + 44)
Suppose 7834*b - 37 = -2*s + 7831*b, -2*b + 12 = -5*s. Factor 1/5*c**s + 2*c + 9/5.
(c + 1)*(c + 9)/5
Factor -21*r**3 - 59693*r**2 + 59565*r**2 + 4*r**5 + 5*r**3 + 32*r**4.
4*r**2*(r - 2)*(r + 2)*(r + 8)
Let b = -273727/2 - -136865. Find f such that 15*f**2 + b*f**3 - 3/2*f - 15 = 0.
-10, -1, 1
Factor -75264 - 448*o - 2/3*o**2.
-2*(o + 336)**2/3
Let u(n) be the first derivative of 69/2*n**2 - 18*n + 75/4*n**4 + 11/5*n**5 + 151/3