z).
2*(z - 2)*(z - 1)*(z + 2)/13
Let w(j) be the second derivative of j**8/168 - 2*j**7/105 + j**5/15 - j**4/12 + 9*j**2/2 - 4*j. Let q(u) be the first derivative of w(u). Factor q(k).
2*k*(k - 1)**3*(k + 1)
Let d(a) be the first derivative of -1 - 1/6*a**3 - 1/8*a**4 + 1/8*a**2 + 1/20*a**5 + 1/4*a + 1/24*a**6. Let d(h) = 0. What is h?
-1, 1
Let k be (0 + -3 + (-56)/(-16))*2. Let m be (-1)/1 - (-2 + (-2)/k). Solve 4/7*g**m - 2/7*g**4 + 0*g**2 + 2/7 - 4/7*g = 0.
-1, 1
Let h(z) = -4*z - 2. Let s be h(-1). Let -3*c**2 - 20*c + c**2 + 4*c**3 + c**s - 12 - 3*c**2 = 0. What is c?
-1, 3
Let a(u) = -u**3 + 19*u**2 + 22*u - 37. Let l be a(20). Suppose 23 - 29 = -l*o. Factor -4/7 - 10/7*s + 6/7*s**o.
2*(s - 2)*(3*s + 1)/7
Let o be -10*(5 - 2)/(-6). Let q be (-7 - -8)/(-1 - -5). Factor 0*g - 1/4*g**2 + 0 + q*g**3 - 1/4*g**o + 1/4*g**4.
-g**2*(g - 1)**2*(g + 1)/4
Suppose 11/4 - 15/2*m**2 + 31*m**3 - 17/2*m + 3/2*m**5 - 77/4*m**4 = 0. What is m?
-1/2, 1/3, 1, 11
Let o(t) = -t**2 + 3*t - 4*t + 2*t. Let m(l) = -6*l**3 + 4*l**2 + 10*l - 8. Let k(j) = -m(j) - 6*o(j). Suppose k(u) = 0. Calculate u.
-2, 2/3, 1
Let j(g) be the third derivative of 16*g**7/105 + 9*g**6/10 + 2*g**5 + 11*g**4/6 + 376*g**2. Find m, given that j(m) = 0.
-11/8, -1, 0
Let t(o) be the first derivative of -8 + 0*o**2 - 2/3*o**3 + 0*o. Solve t(c) = 0 for c.
0
Let b(x) be the third derivative of 0*x - 22 + 0*x**3 + 1/180*x**6 - 5/144*x**4 - 1/60*x**5 + 1/2016*x**8 + 1/210*x**7 - x**2. Solve b(y) = 0 for y.
-5, -1, 0, 1
Let u(i) be the second derivative of 0 + 1/3*i**4 + 10*i + 8/9*i**2 - 8/9*i**3. Factor u(o).
4*(3*o - 2)**2/9
Let u(l) = 3*l**4 - 11*l**2 - 6*l. Let m(h) = h**4 - 2*h**2. Let i(k) = 2*m(k) - u(k). Solve i(f) = 0 for f.
-2, -1, 0, 3
Suppose -3*r + 175 = 2*r. Factor v**3 + r*v**2 - 38*v**2 + 0*v**3.
v**2*(v - 3)
Let x(b) be the second derivative of 59*b + 0 - 3/10*b**5 - 5/6*b**4 + 0*b**2 - 2/3*b**3 + 1/15*b**6 + 1/21*b**7. Suppose x(q) = 0. Calculate q.
-1, 0, 2
Let t = -12 + -9. Let j = -19 - t. Let v(w) = 4*w**2 + 2*w. Let l(r) = -r**3 + 13*r**2 + 7*r. Let k(p) = j*l(p) - 7*v(p). Solve k(a) = 0 for a.
-1, 0
Let f(g) = -2*g**2 + 8*g + 2. Suppose -2*x + 3*r = -14, 0 = -2*x - r + 3 + 3. Let c(s) = -s**2 + s. Let n(d) = x*c(d) - f(d). Find t such that n(t) = 0.
-1
Suppose 0 = 5*b + 2*r - 29 + 14, b = 3*r + 3. Let d(z) be the first derivative of 5*z**b + 5/2*z**2 - 15*z - 5/4*z**4 + 8. Find s such that d(s) = 0.
-1, 1, 3
Let g(j) = -j**4 - j**2 - 2*j. Let y(o) = -2*o**4 - 44*o**3 + 126*o**2 - 48*o - 216. Let x(a) = -6*g(a) + y(a). Factor x(h).
4*(h - 6)*(h - 3)**2*(h + 1)
Let a(m) = -3*m**2 + 5*m + 4. Let v be a(3). Let c be 0 + (-4)/v - 0. Factor 3/2*w**2 - c*w**3 - w + 0.
-w*(w - 2)*(w - 1)/2
Let i(x) = x**2 - x. Let d(h) = h**4 - 20*h**3 + 145*h**2 - 495*h + 625. Let q = 31 - 21. Let a(v) = q*i(v) + 2*d(v). Factor a(r).
2*(r - 5)**4
Let v = 28 + -25. Suppose 4*g + 1 = t + 2, 0 = -4*t - v*g + 15. Factor 5 - 15*r + r**t + 4*r**3 + 5 + 0*r**3.
5*(r - 1)**2*(r + 2)
Let k(b) be the first derivative of -b**5/210 - b**4/42 - b**3/21 - 2*b**2 - 13. Let t(o) be the second derivative of k(o). Factor t(n).
-2*(n + 1)**2/7
Factor 0 + 72/5*t**2 + 144/5*t + 12/5*t**3 + 2/15*t**4.
2*t*(t + 6)**3/15
Let 5*n**3 + 18*n**4 - 32*n**3 + 6*n**5 - 9*n**5 = 0. Calculate n.
0, 3
Let u(v) be the third derivative of 4*v**2 - 3/40*v**5 + 1/80*v**6 + 1/8*v**4 + 0*v**3 + 0 + 0*v. Factor u(d).
3*d*(d - 2)*(d - 1)/2
Suppose 2*b + r - 8 = 0, -5*b = -r - r - 2. Let s be ((-8)/(-3))/b*19/114. Factor 2/9 + s*y**2 - 4/9*y.
2*(y - 1)**2/9
Let m(r) be the third derivative of 0 + 0*r + 8/15*r**3 - 24*r**2 + 1/10*r**4 - 1/75*r**5. Factor m(v).
-4*(v - 4)*(v + 1)/5
Let w = -601 + 1804/3. Factor 4/3*b - 1 - w*b**2.
-(b - 3)*(b - 1)/3
Suppose 0 = 4*r + 4 - 12. Let l be 504/270 - r/(-15). Find g such that -g**4 + 10 - 9 + 2*g**4 - l*g**2 = 0.
-1, 1
Let o be ((-5)/10)/((-22)/88). Suppose -10/21*i**o + 0 - 2/21*i**3 + 10/21*i**4 + 2/21*i = 0. Calculate i.
-1, 0, 1/5, 1
Factor 22/7*r - 4/7*r**2 - 10/7.
-2*(r - 5)*(2*r - 1)/7
Let t(h) be the third derivative of h**8/840 + h**7/210 - h**5/30 - h**4/12 + h**3/3 + 9*h**2. Let x(r) be the first derivative of t(r). Factor x(j).
2*(j - 1)*(j + 1)**3
Suppose 0 - 34/3*r**2 + 2/3*r**3 - 12*r = 0. Calculate r.
-1, 0, 18
Suppose 4*h - 88 = 12*h. Let j be h/(-14) + -3*(-1)/(-6). Solve -4/7*b**3 + 2/7*b + j*b**5 + 12/7*b**2 - 6/7 - 6/7*b**4 = 0 for b.
-1, 1, 3
Let c be (30/(-18))/((1/(-3))/1). Let f(q) be the first derivative of 0*q + 3/5*q**c + 0*q**2 + 0*q**3 + 3 + 3/4*q**4. Factor f(h).
3*h**3*(h + 1)
Let s(o) be the third derivative of -o**8/1176 - o**7/245 - o**6/140 - o**5/210 - 63*o**2. Find y, given that s(y) = 0.
-1, 0
Let m(r) be the first derivative of r**5 - 5*r**4 - 5*r**3/3 + 10*r**2 + 2. Factor m(x).
5*x*(x - 4)*(x - 1)*(x + 1)
Let l = -2287/21 - -109. Let y(z) be the second derivative of -4/3*z**3 + 0 + 7/3*z**4 - l*z**7 - 9/5*z**5 + 2/3*z**6 + 0*z**2 - 3*z. Find m such that y(m) = 0.
0, 1, 2
Let o(p) = -4*p**4 + 16*p**3 - 17*p**2 - 10*p + 5. Let k(z) = 2*z**4 - 8*z**3 + 8*z**2 + 4*z - 2. Let i(u) = 5*k(u) + 2*o(u). Factor i(a).
2*a**2*(a - 3)*(a - 1)
Let k(i) be the second derivative of 0*i**2 - 2/15*i**3 + 13*i + 1/50*i**5 + 0 - 1/30*i**4. Factor k(v).
2*v*(v - 2)*(v + 1)/5
Let d be 23/161 - (-3)/((-42)/2690). Let o be 20/(-25) + d/(-140). Solve o - 3/7*u**2 + 1/7*u**3 + 0*u = 0.
-1, 2
Let g(z) = -2*z**3 + 5*z**2 + 9*z + 9. Let q(j) = j**3 - 3*j**2 - 5*j - 5. Let p(b) = -b**2 + b + 2. Let i be p(-2). Let w(v) = i*g(v) - 7*q(v). Factor w(l).
(l - 1)*(l + 1)**2
Let s(x) be the first derivative of 0*x + 0*x**2 + 0*x**3 - 1/39*x**6 - 1/13*x**4 + 11 + 6/65*x**5. Find u such that s(u) = 0.
0, 1, 2
Let a(w) be the first derivative of w**4/2 + 16*w**3 - 53. Solve a(q) = 0.
-24, 0
Suppose -53*q**4 - 16*q**4 + 759*q**3 - 285*q**5 - 1111*q + 294*q**2 - 1385*q + 1536 - 27*q**4 + 288*q**5 = 0. What is q?
-2, 1, 16
Let k(j) be the third derivative of 0 + 1/3*j**5 - 1/3*j**4 - 3*j**2 + 0*j - 2/15*j**6 + 2/105*j**7 + 0*j**3. Factor k(b).
4*b*(b - 2)*(b - 1)**2
Suppose -11664/5 + 2/5*d**3 - 108/5*d**2 + 1944/5*d = 0. What is d?
18
Let u(f) be the first derivative of -60*f - 25 - 5/9*f**3 - 10*f**2. Factor u(d).
-5*(d + 6)**2/3
Let g(f) = f + 9. Let x be g(-5). Factor -3*s + 4*s + s + x*s**2 + 2*s.
4*s*(s + 1)
Suppose 388 + 476 = -12*b. Let v = 506/7 + b. Factor v*c + 0 - 2/7*c**2.
-2*c*(c - 1)/7
Determine c, given that 142*c**2 - 5*c**3 - 41*c - 106*c + 18*c**2 - 8*c = 0.
0, 1, 31
Solve -14/19*g**4 + 18/19 + 36/19*g**3 - 4/19*g**2 - 34/19*g - 2/19*g**5 = 0 for g.
-9, -1, 1
Solve -24/7*j - 16/7 - 12/7*j**2 - 2/7*j**3 = 0 for j.
-2
Let r(b) be the third derivative of -b**5/210 + 2*b**4/21 - 5*b**3/7 + b**2 - 19*b. Solve r(n) = 0 for n.
3, 5
Let t(d) be the second derivative of -3025*d**4/78 + 220*d**3/39 - 4*d**2/13 + 75*d. Factor t(q).
-2*(55*q - 2)**2/13
Let w(m) be the first derivative of 15*m**4/4 + 24*m**3 + 54*m**2 + 48*m + 190. Factor w(n).
3*(n + 2)**2*(5*n + 4)
Determine a so that -9 + 12*a**2 + 16*a**2 - 12*a**4 - 10*a - 63*a**3 - 47*a - 72*a**2 - 55*a**2 = 0.
-3, -1, -1/4
Find d such that 2/7*d**2 + 15488/7 - 352/7*d = 0.
88
Factor 12*r**3 + 243*r**4 + 3*r**3 - 30*r + 235*r**4 - 483*r**4 + 10*r.
-5*r*(r - 2)**2*(r + 1)
Let z = 499/42 + -157/14. Determine k, given that 3*k**3 - 17/3*k**2 + 0 - z*k = 0.
-1/9, 0, 2
Factor 0*v + 5270*v**3 + 2/9*v**5 + 614/9*v**4 + 0 + 5202*v**2.
2*v**2*(v + 1)*(v + 153)**2/9
Let v(f) = f**3 - f**2 + 2*f - 1. Let m(l) = 2*l**3 - 41*l**2 - 355*l - 3. Let s(t) = m(t) - 3*v(t). Suppose s(o) = 0. What is o?
-19, 0
Suppose -16*d + 17*d - 5*y = 28, -3*d + 3*y = -24. Let r(g) be the first derivative of 9*g - 3/4*g**4 + 15/2*g**2 + g**d - 3. Let r(i) = 0. What is i?
-1, 3
Let h(k) = k. Let l(q) = 2*q**2 - 6*q + 2. Suppose -5*p - 5*o + 30 = 0, o = -4*p - 4*o + 28. Let c(z) = p*h(z) + l(z). Factor c(f).
2*(f - 1)**2
Let x(p) = p**2 + 2*p - 1. Let w(f) = 8*f**2 - 20*f - 210. Let y(l) = w(l) - 10*x(l). Factor y(n).
-2*(n + 10)**2
Let b(t) be the first derivative of 284/33*t**3 + 7 - 65/22*t**4 - 60/11*t**2 + 16/11*t + 125/33*t**6 - 60/11*t**5. What is q in b(q) = 0?
-1, 2/5, 1
Suppose -n + 17 = 4*x - 6*n, -2*n + 1 = x. Determine o so that 10*o**2 + 5*o**x +