ose p(t) = 0. Calculate t.
-1, 0, 1, 6
Let q be (5 + -4)/(1/(-18)*-6). Let z(o) be the first derivative of 0*o**q - 4 - 1/18*o**4 + 0*o + 1/9*o**2. Factor z(f).
-2*f*(f - 1)*(f + 1)/9
Let v(n) be the first derivative of 4*n**7/315 - n**6/30 + n**4/18 + 5*n**2/2 + 24. Let m(p) be the second derivative of v(p). Factor m(i).
4*i*(i - 1)**2*(2*i + 1)/3
Let x(i) be the third derivative of i**5/140 - 93*i**4/56 + 46*i**3/7 - 49*i**2 + 2*i. Factor x(t).
3*(t - 92)*(t - 1)/7
Let m(b) be the first derivative of -b**7/70 + 7*b**6/40 - 3*b**5/4 + 9*b**4/8 - 51*b**2/2 + 43. Let w(j) be the second derivative of m(j). Factor w(o).
-3*o*(o - 3)**2*(o - 1)
Let x be (-4)/1 + 9 + -3. Factor 1 + 1 - 3*a - a + 0*a**3 - x*a**4 + 4*a**3.
-2*(a - 1)**3*(a + 1)
Suppose 286 = 42*d - 44*d. Let s = d + 145. Find o such that -6/5*o**s + 4/5 + 2/5*o**4 - 2/5*o**3 + 2/5*o = 0.
-1, 1, 2
Let m(g) be the third derivative of -g**8/336 + g**7/30 + 19*g**6/120 - 7*g**5/60 - 3*g**4/4 - 246*g**2. Determine r, given that m(r) = 0.
-2, -1, 0, 1, 9
Factor -1/4*n**2 - 3 + 13/4*n.
-(n - 12)*(n - 1)/4
Let d(x) be the third derivative of 2*x**7/315 - x**6/90 - x**5/15 + 5*x**4/18 - 4*x**3/9 + 27*x**2 + 3*x. Factor d(y).
4*(y - 1)**3*(y + 2)/3
Let n(v) be the third derivative of v**5/10 - v**3/6 - 5*v**2. Let y be n(1). Factor 4*g**3 + g**y + 8*g**4 - 5*g**5 + 8*g**5.
4*g**3*(g + 1)**2
Suppose -4*c = 4*y + 2 - 14, c = -2*y + 5. Solve 17*t**2 - 2*t**4 + 8*t**3 + 5*t - 49*t**y + 22*t**2 - t = 0 for t.
0, 1, 2
Suppose -4*c = -20, -4*a - 50 + 57 = -c. Factor 3*f**a + 8/3*f**2 + 0 - 1/3*f.
f*(f + 1)*(9*f - 1)/3
Let x(c) be the third derivative of 0*c + 0*c**3 - 1/210*c**7 - 1/60*c**6 - 10*c**2 + 0*c**4 - 1/60*c**5 + 0. Factor x(q).
-q**2*(q + 1)**2
Let h(m) = 7*m**3 - 80*m**2 + 35*m - 17. Let y be h(11). Let -46/7*q**4 - 114/7*q**2 + 36/7*q + 118/7*q**3 + 6/7*q**y + 0 = 0. Calculate q.
0, 2/3, 1, 3
Let r(b) be the third derivative of b**8/47040 + 11*b**7/11760 + 8*b**5/15 + 32*b**2. Let y(c) be the third derivative of r(c). Factor y(f).
3*f*(f + 11)/7
Let u(q) = 7*q**2 + 164*q - 768. Let n(m) = -2*m**2 - 40*m + 192. Let o(f) = -9*n(f) - 2*u(f). Suppose o(b) = 0. Calculate b.
-12, 4
Let p(s) be the third derivative of s**5/390 - 9*s**4/26 + 53*s**3/39 + s**2 - 330. Solve p(n) = 0.
1, 53
Let z(w) be the first derivative of -w**3/33 - 7*w**2/22 - 12*w/11 - 128. Find t, given that z(t) = 0.
-4, -3
Let n(o) = -o**3 + 3*o**2 - 5*o + 8. Let b be n(2). Solve r - 1/4*r**3 + r**4 - 1/4*r**5 - 5/2*r**b + 2 = 0.
-1, 2
Let l be ((-166)/18 + 9)*-3. Let b(d) be the first derivative of -13/3*d**3 + 7/5*d**5 + 10*d**2 - 7/2*d**4 + 7 - 4*d + l*d**6. What is y in b(y) = 0?
-2, 1/4, 1
Let u(y) be the first derivative of 5*y**3/3 + 5*y**2 + 192. Let u(a) = 0. Calculate a.
-2, 0
Suppose 3*n = 5*j - 333, j + 3*n - 98 = -35. Let f = -41 + j. Let 0*a**4 + 3*a**4 + 6*a**2 - f*a**3 + 16*a**3 = 0. Calculate a.
0, 1, 2
Let y(j) be the third derivative of j**8/1008 + j**7/105 + j**6/36 - 11*j**4/72 - j**3/3 + j**2 - 11. Determine u, given that y(u) = 0.
-3, -2, -1, 1
Let o(a) = a**2 + 10*a + 5. Let c be o(-10). Suppose 80*g - 38*g**4 - 16*g**c + 3*g**4 + 11*g**5 - 80*g**3 - 40*g**2 + 80 = 0. What is g?
-2, 1
Let i(z) be the second derivative of z**5/150 + 11*z**4/45 + 76*z**3/45 + 24*z**2/5 + 85*z. Factor i(k).
2*(k + 2)**2*(k + 18)/15
Let s(a) be the second derivative of a**6/6 - 17*a**5/4 + 65*a**4/2 - 80*a**3/3 - 320*a**2 - 96*a + 1. Factor s(b).
5*(b - 8)**2*(b - 2)*(b + 1)
Let c = -13/22 - -23/11. Let f(x) be the first derivative of 8/3*x**3 - 3/4*x**4 + c*x**2 + 0*x - 6. Factor f(s).
-s*(s - 3)*(3*s + 1)
Let i = 80121/7 + -11391. Let 339/7*h**4 + 612/7*h**3 - 48/7 + 9*h**5 + 0*h + i*h**2 = 0. What is h?
-2, -1, -2/3, 2/7
Factor 390*q - 69*q**2 - 6*q**2 + 70*q**2.
-5*q*(q - 78)
Let j = -192 + 194. Factor z**j + 1/4*z**3 + 1/2 + 5/4*z.
(z + 1)**2*(z + 2)/4
Let x(h) be the third derivative of h**6/200 + h**5/300 - h**4/60 + 492*h**2. Determine s, given that x(s) = 0.
-1, 0, 2/3
Suppose -3*k + 6*k - 178 = -m, -2*m = 2*k - 116. Solve k*f**5 - 2*f**2 - 36*f**3 - 6*f**2 + 8*f**4 + 4*f - 28*f**5 = 0.
-1, -1/2, 0, 1/4, 1
Let t be 20/(-5) + (5 - -2). Factor 2*p**5 - t*p**4 + 8*p**2 + p**2 - 2*p**3 - 7*p**2 + p**4.
2*p**2*(p - 1)**2*(p + 1)
Factor -92/19 - 2/19*v**2 + 94/19*v.
-2*(v - 46)*(v - 1)/19
Let b = -75 - -63. Let s be (-4 - 0) + (-8 - b). Suppose -3/7*h**2 - 57/7*h**4 - 3*h**5 + s + 6/7*h - 45/7*h**3 = 0. What is h?
-1, 0, 2/7
Let v(k) be the second derivative of -7*k + 0 - 2/3*k**3 + 0*k**2 + 1/3*k**4. Factor v(r).
4*r*(r - 1)
Let c(t) be the third derivative of t**9/302400 - t**8/100800 + t**5/4 + 17*t**2. Let i(q) be the third derivative of c(q). Factor i(j).
j**2*(j - 1)/5
Factor 0 + 3/2*j**2 + 9*j.
3*j*(j + 6)/2
Let a(t) = -t**3 + 69*t**2 - 541*t + 62. Let x be a(60). Factor -2/3 + 2*f + 2/3*f**3 - 2*f**x.
2*(f - 1)**3/3
Suppose 11*z - 13*z + 3*m + 15 = 0, 5*m = -3*z - 25. Factor -1/4*x**2 + 1/2*x + z.
-x*(x - 2)/4
Let q(l) be the second derivative of -24/35*l**5 - 2/5*l**6 + 2/3*l**7 + 0*l**2 - 4/21*l**4 + 0*l**3 + 0 + 2*l. Factor q(h).
4*h**2*(h - 1)*(7*h + 2)**2/7
Factor -202*r**3 + 2*r**5 - 207*r**3 + r**4 + 406*r**3.
r**3*(r - 1)*(2*r + 3)
Let j(k) = -k**2 + 10*k - 12. Let g be j(6). Let y be 3*16/g + -2. Let -7*a**y + 0 + 12*a + 2 + 0 + 2 = 0. What is a?
-2/7, 2
Let b(g) be the second derivative of -3/4*g**4 + 0 - 5/2*g**3 + 3/4*g**5 + 2/5*g**6 + 16*g - 3/2*g**2. Solve b(j) = 0 for j.
-1, -1/4, 1
Suppose 4*b - 105 = 391. Suppose b*z - 129*z = 0. Solve 0 + z*f**2 - 2/5*f**3 + 0*f = 0.
0
Let h(g) be the third derivative of 0*g + 0 - 1/60*g**6 + g**3 + 23*g**2 + 1/6*g**5 - 7/12*g**4. Factor h(s).
-2*(s - 3)*(s - 1)**2
Let z(c) be the second derivative of 5*c**4/4 + 3*c**3/2 - 21*c**2 + 81*c. Factor z(r).
3*(r + 2)*(5*r - 7)
Suppose -3*m - 130 = -8*m. Suppose 3 = 4*i + j, 0 = -3*i + 3*j + m - 5. Let 0*k**2 + 0*k**2 - 4*k**2 + 6*k**i = 0. Calculate k.
0
What is a in -89*a - 32 + 20*a**2 - 16 - 23*a = 0?
-2/5, 6
Let t(h) be the third derivative of -h**5/90 + 2*h**4/9 - 4*h**3/3 - 66*h**2 - 3*h. Find d, given that t(d) = 0.
2, 6
Let c = -10505/3 + 3457. Let w = 45 + c. Find h, given that 0 + w*h**4 + 1/3*h - 1/3*h**3 - 1/3*h**2 = 0.
-1, 0, 1
Let x(i) = -24*i**2 - 192*i - 15. Let z(w) = -11*w**2 - 95*w - 7. Let b(r) = 7*x(r) - 15*z(r). Factor b(v).
-3*v*(v - 27)
Let z(a) be the first derivative of a**3/12 - 49*a**2/4 + 2401*a/4 + 8. Factor z(g).
(g - 49)**2/4
Let r(z) = 18*z**4 + 21*z**3 + 6*z**2 - 3*z. Let u(c) = -7*c - 15*c**3 + 11*c**2 - 4 + 37*c**4 + 4 + 57*c**3 - c**5. Let d(p) = -7*r(p) + 3*u(p). Factor d(x).
-3*x**2*(x + 1)**2*(x + 3)
Let c be 98/374 + (-4 - (-45)/11). Solve -c*t**3 + 0*t + 0 + 8/17*t**2 - 2/17*t**4 = 0.
-4, 0, 1
Solve -5*l + 0 + 55/6*l**2 - 5/6*l**4 - 10/3*l**3 = 0 for l.
-6, 0, 1
Let o = 614 - 611. Let n(g) be the second derivative of -1/60*g**5 + 0*g**2 + 1/60*g**6 + 0*g**o - 4*g + 0 - 1/72*g**4. Factor n(r).
r**2*(r - 1)*(3*r + 1)/6
Let y = -42 - -50. Suppose 5*p = y + 2. Suppose 0*n**p - 1/4*n**4 + 0*n + 1/4*n**5 + 0 + 0*n**3 = 0. What is n?
0, 1
Factor -1083*u**3 - 446 - 432*u**5 + 63*u + 449 + 723*u**4 + 225*u**2 + 501*u**4.
-3*(u - 1)**3*(12*u + 1)**2
Let t = 16091 + -80452/5. Factor 1/5*v**2 + t*v + 0.
v*(v + 3)/5
Let w = -4/7697 - -30824/69273. Factor -8/9 + w*f**2 - 14/9*f.
2*(f - 4)*(2*f + 1)/9
Factor -54/11*x**3 + 26/11*x**2 + 0*x + 30/11*x**4 - 2/11*x**5 + 0.
-2*x**2*(x - 13)*(x - 1)**2/11
Let z(f) be the second derivative of f**4/36 + 35*f**3/18 - 87*f - 2. Factor z(y).
y*(y + 35)/3
Suppose -7 + 1/2*d**4 - 39/2*d**2 - 11/2*d**3 - 41/2*d = 0. What is d?
-1, 14
Let r = 2916605/154 + -18938. Let y = -3/22 + r. Let 0*i - 4/7*i**2 + y*i**3 + 0*i**4 + 0 - 2/7*i**5 = 0. Calculate i.
-2, 0, 1
Let x = 16509/4 - 4127. Factor 0 + 1/4*j**2 + 1/2*j - x*j**3.
-j*(j - 2)*(j + 1)/4
Let f be ((-12)/4)/(0 - 15/20). Solve -f*o**4 + 16*o**2 - 9*o - 5*o**3 - 3*o**3 + 20*o + 21*o = 0 for o.
-2, 0, 2
Let w be (((-8)/(-6) + 0)*6)/15. Let i(b) be the first derivative of 1/10*b**4 + 5 + 0*b + 4/5*b**2 - w*b**3. Suppose i(x) = 0. What is x?
0, 2
Let l = 116 + -2899/25. Let d = 23/50 + l. Factor -15/4*t**3 + 1/4*t + d - 4*t**2.
-(t + 1)*(3*t - 1)*(5*t + 2)/4
Let j(u) = 175*u**5 - 160*u**4 - 390*u**3 