 - 102*b. Solve y(i) = 0.
-3, -2, -1, 0
Let h(j) be the second derivative of -9*j**4/8 - 75*j**3/2 - 1875*j**2/4 + 141*j. Factor h(r).
-3*(3*r + 25)**2/2
Let r(u) be the third derivative of u**6/360 - 7*u**5/180 - 17*u**4/72 - u**3/2 + 414*u**2. Factor r(j).
(j - 9)*(j + 1)**2/3
Let s = 18 - 14. Suppose -s*d - 4*w + 26 = w, 0 = d - 3*w + 2. Find g such that -1/2*g**5 + 0 + 1/2*g - g**d + 0*g**3 + g**2 = 0.
-1, 0, 1
Let b(c) be the second derivative of c**4/8 - 43*c**3/6 + 14*c**2 + c + 5. Determine p so that b(p) = 0.
2/3, 28
Let l(o) be the first derivative of -196*o**4 + 28*o**3 + 12*o**2 + o + 141. Factor l(c).
-(4*c - 1)*(14*c + 1)**2
Let r(p) = p**2 - 10*p + 9. Let k be r(9). What is v in -8*v + 11 - 6 + k*v + 2*v**2 + 3 = 0?
2
Suppose 7*u = 3*u + 48. Suppose 0 = b + 4*b - 2*j - u, -j = 1. Factor -l + l**2 - 2*l - 2*l**2 - b.
-(l + 1)*(l + 2)
Factor -9/4*o + 3 - 3/4*o**2.
-3*(o - 1)*(o + 4)/4
Let p be (7/(-2) + 17 + -15)*(-6)/3. Factor -1/3 - 11/6*u**2 - 11/6*u + 3/2*u**4 + 5/2*u**p.
(u - 1)*(u + 2)*(3*u + 1)**2/6
Let f be (-3)/6*1*-62. Suppose -f = -4*o - 23. Suppose 2/3*u**3 + 2/3*u - 4/3*u**o + 0 = 0. What is u?
0, 1
Let f = -1675/3 - -559. Factor -4/3*y + 4/3*y**3 - 2/3*y**4 + 0 + f*y**2.
-2*y*(y - 2)*(y - 1)*(y + 1)/3
Let h(w) = 5*w**4 - 224*w**3 - 79*w**2 + 2*w + 2. Let s(i) = 3*i**4 - 225*i**3 - 81*i**2 + 3*i + 3. Let u(c) = 3*h(c) - 2*s(c). Solve u(z) = 0 for z.
-1/3, 0, 25
Let h(l) be the first derivative of -l**6/165 - 2*l**5/55 - 5*l**4/66 - 2*l**3/33 - 2*l - 5. Let j(b) be the first derivative of h(b). Solve j(i) = 0.
-2, -1, 0
Let s = -307 + 309. Let v(q) be the first derivative of -4 + 0*q - q**s + 2*q**4 - 1/3*q**3 - q**5. Factor v(f).
-f*(f - 1)**2*(5*f + 2)
Let x(z) = 4*z**2 + z. Let r be x(-1). Suppose 6 = 3*m - r*q - 3, 5*q = -5. Factor -6*p**2 + 18*p**m + 2 + 2*p**4 - 7*p - 8*p**3 - p.
2*(p - 1)**4
Find a, given that 1/6*a**3 + 13/6*a**2 + 0 - 5*a = 0.
-15, 0, 2
Let i be (-4)/18 + (-494)/(-117). Let v be 2 - (i + (-21)/6). Factor 3/2*b**3 + 1 - v*b - b**2.
(b - 1)*(b + 1)*(3*b - 2)/2
Let q(h) be the second derivative of -h**7/21420 - h**6/6120 + 5*h**4/6 + 3*h. Let w(l) be the third derivative of q(l). Suppose w(j) = 0. What is j?
-1, 0
Factor -1746*p**2 + 1 + 1810*p**2 - 131*p + p**3 + 65.
(p - 1)**2*(p + 66)
Suppose 31*p = -25*p - p. Let y(h) be the third derivative of 0*h**4 + 2/105*h**7 - 2*h**2 + 0*h + 1/15*h**6 + 0 + 0*h**3 + p*h**5. Factor y(t).
4*t**3*(t + 2)
Suppose -3*x - 5*k = -66, x + 3*x = k + 88. Let i(q) = -21*q**2 + 50*q - 40. Let s(t) = -4*t**2 + 10*t - 8. Let l(w) = x*s(w) - 4*i(w). Factor l(a).
-4*(a - 4)*(a - 1)
What is t in -18/11*t + 0 + 2/11*t**2 = 0?
0, 9
Let x(p) be the second derivative of -p**4/102 - 4*p**3/51 - 27*p. Factor x(w).
-2*w*(w + 4)/17
Let i(l) be the third derivative of l**7/11340 + l**6/1620 - 7*l**4/12 + 15*l**2. Let r(k) be the second derivative of i(k). Suppose r(j) = 0. Calculate j.
-2, 0
Let i(r) be the second derivative of r**6/210 + 8*r**5/35 + 39*r**4/14 + 108*r**3/7 + 621*r**2/14 - 2*r - 59. Factor i(v).
(v + 3)**3*(v + 23)/7
Let r(d) be the third derivative of -1/36*d**4 + 1/84*d**7 + 1/180*d**6 + 1/12*d**3 + 0*d + 0 - 1/20*d**5 - 5*d**2. Suppose r(p) = 0. Calculate p.
-1, -3/5, 1/3, 1
Let i = -13 + 16. Factor 8*l**2 - l**i + 2*l**3 + 3*l**3.
4*l**2*(l + 2)
Let m be (17 - 2261/85)/(-3). Factor -36/5 - 42/5*x - m*x**2 - 2/5*x**3.
-2*(x + 2)*(x + 3)**2/5
Let h(y) be the first derivative of y**5/35 - 5*y**4/14 + 25*y**3/21 + 150. Solve h(u) = 0.
0, 5
Let b be (-7 - -3)/4*-73. Let l = b - 71. Let -24/11*h - 8/11 - 18/11*h**l = 0. Calculate h.
-2/3
Let s = -11278 + 11281. Let 424/5*v**s + 100 + 232*v**2 + 68/5*v**4 + 4/5*v**5 + 260*v = 0. Calculate v.
-5, -1
Let k(y) be the second derivative of -y**7/1785 - y**6/3060 + 10*y**3/3 - 2*y. Let l(m) be the second derivative of k(m). Factor l(r).
-2*r**2*(4*r + 1)/17
Suppose 0 = r + o - 1, 2*r - 5*o - 3 = 6. Let z(p) be the second derivative of 0 - 6*p**r + 6*p - 1/10*p**6 - 6*p**3 - 9/10*p**5 - 13/4*p**4. Factor z(g).
-3*(g + 1)**2*(g + 2)**2
Let r(q) = q - 17. Let z be r(9). Let s = 8 - z. Find h, given that -s*h + h - 7 - 7*h**2 - h**3 - 2 = 0.
-3, -1
Let v(b) be the first derivative of 0*b**2 - 2/55*b**5 + 0*b**4 - 10 + 0*b + 2/33*b**3. Let v(m) = 0. Calculate m.
-1, 0, 1
Let b(k) be the first derivative of 9/2*k**2 + 0*k + 1/40*k**5 + 13 - 1/12*k**3 - 1/24*k**4. Let o(d) be the second derivative of b(d). Factor o(m).
(m - 1)*(3*m + 1)/2
Let u(k) = 3*k**2 + 453*k - 6706. Let j(b) = -b**2 - 113*b + 1676. Let o(q) = 22*j(q) + 6*u(q). Find l such that o(l) = 0.
29
Let v be 15/18*(-8 + 9)*(-32)/(-20). Suppose -4/3*b + 4*b**2 + 5*b**3 + v*b**4 + 0 = 0. Calculate b.
-2, 0, 1/4
Factor 146 - 3*n**2 - 65*n + 4*n**2 + 4 + 4*n**2.
5*(n - 10)*(n - 3)
Suppose 9*w**3 + 13*w**4 - 11*w**2 - 24 + w**5 - 7*w**4 - 7*w**2 - 44*w - 2*w**3 = 0. Calculate w.
-3, -2, -1, 2
What is b in -120/13*b**2 - 2/13*b**5 + 20/13*b**4 - 72/13*b + 0 - 2*b**3 = 0?
-1, 0, 6
What is i in -24/5*i + 3/5*i**4 + 36/5 + 6/5*i**3 - 21/5*i**2 = 0?
-3, -2, 1, 2
Let s(r) be the second derivative of -r**8/1344 - r**7/504 + r**6/72 + r**4/2 - 7*r. Let b(c) be the third derivative of s(c). Factor b(h).
-5*h*(h - 1)*(h + 2)
Let g = 269/477 - 24/53. Let a(c) be the first derivative of 8 + 0*c - 1/12*c**4 + g*c**3 + 1/3*c**2. Suppose a(i) = 0. What is i?
-1, 0, 2
Suppose -29/6*r**3 - 14/3*r + 3/2*r**5 + 59/6*r**2 + 2/3 - 5/2*r**4 = 0. What is r?
-2, 1/3, 1, 2
Factor -141/4*o + 12 + 135/4*o**2 - 39/4*o**3 - 3/4*o**4.
-3*(o - 1)**3*(o + 16)/4
Factor 45/4*i**2 + 55/4*i + 5/4*i**3 + 5 - 5/4*i**4.
-5*(i - 4)*(i + 1)**3/4
Let j be (-7 - (-15 + 10))*(-6)/24. Find z such that -1/2*z**2 + j + 1/2*z**3 - 1/2*z = 0.
-1, 1
Let z = -13819/20 + 691. Let t(p) be the third derivative of 0*p**4 - 6*p**2 - 1/20*p**5 + 0*p**3 + 0 + z*p**6 + 0*p - 1/70*p**7. Factor t(d).
-3*d**2*(d - 1)**2
Let m = 24 - 19. Factor 0 + m - 3 - 4 - 24*q**2 - 12*q - 20*q**3 - 6*q**4.
-2*(q + 1)**3*(3*q + 1)
Determine w so that 4*w**2 + 8*w + w**2 - 17*w**2 + 8*w**2 + 6*w**2 = 0.
-4, 0
Factor -92*a**2 - 22*a - 2*a**3 - 31*a**2 + 147*a**2.
-2*a*(a - 11)*(a - 1)
Let s = -21 + 57. Factor -l**3 + 5*l**2 + 16*l**3 - 21*l**4 + 5*l**5 + s*l**4.
5*l**2*(l + 1)**3
Factor 0*x + 0 + 2/5*x**3 - 2/5*x**4 + 0*x**2.
-2*x**3*(x - 1)/5
Let u = 30 + -27. Factor 21*q**3 + 27*q**3 - 51*q**u.
-3*q**3
Let b(o) = 3*o**3 + 22*o**2 + 30*o - 21. Let p be b(-5). Factor p*f**4 + 0*f + 0 + 0*f**2 + 8/5*f**3 - 28/5*f**5.
-4*f**3*(f - 1)*(7*f + 2)/5
Factor 4712 - 4712 + 2*i**5 + 8*i**2 + 18*i**3 + 12*i**4.
2*i**2*(i + 1)**2*(i + 4)
Suppose -5*k - 101 = -121. Let l(s) be the third derivative of -1/24*s**4 + 0*s**3 + 0*s + 0 - k*s**2 - 1/60*s**5. Determine z, given that l(z) = 0.
-1, 0
Suppose -2/9*n**4 + 0 - 20/9*n**3 + 20/9*n + 2/9*n**2 = 0. What is n?
-10, -1, 0, 1
Let a = 9 + -6. Let s(y) = -1 + y**3 - y**2 + 5*y**2 - a*y**2 - y. Let w(c) = -6*c**3 - 8*c**2 + 2*c + 4. Let o(r) = -20*s(r) - 4*w(r). Factor o(z).
4*(z + 1)**3
Let p = 82 - 91. Let j be p/(-6)*(-64)/(-24). Factor -6/7*b**j + 2/7 - 4/7*b**3 + 6/7*b + 4/7*b**2 - 2/7*b**5.
-2*(b - 1)*(b + 1)**4/7
Let a = 4568/7 - 652. Determine p so that -3/7*p**2 + 4/7*p**3 + 4/7 - 1/7*p**4 - a*p = 0.
-1, 1, 2
Let r be (3 + (-5850)/1938)*274/(-45). Let x = r + -2/255. Factor -20/19*b**3 - 6/19*b**4 - 12/19*b - 24/19*b**2 - x.
-2*(b + 1)**3*(3*b + 1)/19
Let b(o) = 3*o - 13. Let i(n) = 3*n - 12. Let s(c) = 5*b(c) - 6*i(c). Let w be s(2). Suppose -w + 6*k + 6*k - 3*k**2 - 11 + 0 = 0. What is k?
2
Let u(p) be the second derivative of p**7/42 + p**6/12 - 5*p**4/12 - 5*p**3/6 - 43*p**2/2 + 3*p - 3. Let f(v) be the first derivative of u(v). Factor f(h).
5*(h - 1)*(h + 1)**3
Let n = -27/5 - -29/5. Let o(x) be the first derivative of 2/5*x**2 + 0*x + n*x**3 + 2 - 1/5*x**4 - 6/25*x**5. Suppose o(w) = 0. What is w?
-1, -2/3, 0, 1
Let l(p) be the first derivative of -p**5/10 + p**3/3 + 6*p - 3. Let u(x) be the first derivative of l(x). Factor u(r).
-2*r*(r - 1)*(r + 1)
Factor -12/11 - 2/11*a + 8/11*a**2 - 2/11*a**3.
-2*(a - 3)*(a - 2)*(a + 1)/11
Let l = 105 + -103. Factor -16*r - 4*r - 5*r**4 - 12*r**2 - 25*r**3 + 12*r**2 - 40*r**l.
-5*r*(r + 1)*(r + 2)**2
Suppose 0 = 2*k - 3*v, 24*k = 20*k + 5*v. Let u(i) be the 