*2. Solve b(n) = 0.
-2, -1/4, 1
Let q(p) be the second derivative of 1/8*p**4 + 0 + 0*p**2 + 1/12*p**3 + 1/20*p**5 + 9*p. Determine h so that q(h) = 0.
-1, -1/2, 0
Let r(n) be the third derivative of -n**8/336 + n**7/28 + 31*n**6/240 - 11*n**5/40 - 29*n**4/48 + 3*n**3/2 + 124*n**2. Find k, given that r(k) = 0.
-2, -1, 1/2, 1, 9
Let b(w) be the second derivative of 5/12*w**4 + 5*w - 55/3*w**3 + 0 + 605/2*w**2. Factor b(m).
5*(m - 11)**2
Suppose 0 = -41*n + 18*n + 138. Let l(q) be the first derivative of -4/21*q**3 + 0*q - n + 6/7*q**2. Suppose l(x) = 0. Calculate x.
0, 3
Let m(t) be the third derivative of 2*t**7/15 - 4*t**6/3 + 11*t**5/5 + 24*t**2 - 5. Let m(r) = 0. What is r?
0, 1, 33/7
Let n(t) be the second derivative of -1/35*t**5 + 2*t + 0*t**4 + 2/21*t**3 + 0 + 0*t**2. What is j in n(j) = 0?
-1, 0, 1
Let k = -381 - -540. Let u = k + -154. Let -4/9*l**4 + 2/3*l**3 + 0 + 1/9*l**u + 1/9*l - 4/9*l**2 = 0. What is l?
0, 1
Let i(f) = f**2 + 4*f + 7. Let x be i(-3). Suppose -x*g = -2*g. Factor -3/4*z**2 - 1/2*z + g - 1/4*z**3.
-z*(z + 1)*(z + 2)/4
Suppose 3*c - 7 = -2*o - 6, 0 = c + 3. Let a(h) be the second derivative of 1/2*h**3 + 3*h**2 - 3/20*h**o + 0 - 1/2*h**4 + 5*h. Factor a(q).
-3*(q - 1)*(q + 1)*(q + 2)
Let u(q) be the second derivative of -q**7/210 + q**6/50 - q**5/100 - q**4/20 + q**3/15 + q + 43. Suppose u(f) = 0. Calculate f.
-1, 0, 1, 2
Suppose 4*q - 2 = -18. Let k(p) = -1. Let l(b) = -5*b**2 - 15*b + 4. Let n(a) = q*k(a) - l(a). Determine w, given that n(w) = 0.
-3, 0
Let b(x) be the second derivative of -x**8/1344 + x**7/168 - x**5/6 + 23*x**4/12 + 15*x. Let t(c) be the third derivative of b(c). Factor t(z).
-5*(z - 2)**2*(z + 1)
Factor 134*v**2 + 125*v**2 - 257*v**2 - 148*v + 2738.
2*(v - 37)**2
Let v(j) be the first derivative of -8/9*j - 5/9*j**2 - 2/27*j**3 - 1. What is q in v(q) = 0?
-4, -1
Let m(q) be the third derivative of -15*q**3 + 35/4*q**4 + 0 - 10*q**2 - 49/24*q**5 + 0*q. Let m(w) = 0. What is w?
6/7
Factor -14/5 - 2/5*t**2 + 16/5*t.
-2*(t - 7)*(t - 1)/5
Let a(r) be the first derivative of -17 - 2*r**3 - 14/5*r**5 - 2*r**2 + 0*r + 6*r**4. Find y such that a(y) = 0.
-2/7, 0, 1
Let q(d) = -4*d**4 - d**3. Let j(k) = -45*k**4 - 9*k**3 + 7*k**2 - 20*k + 12. Let f(l) = 2*j(l) - 22*q(l). Determine p, given that f(p) = 0.
-3, 1, 2
Let y = 15868 + -15862. Solve 27/5 - y*z + 3/5*z**2 = 0.
1, 9
Suppose -11*f + 42*f = 93. Factor 0 - 8/3*t**2 + 2*t**f + 0*t**4 + t - 1/3*t**5.
-t*(t - 1)**3*(t + 3)/3
Let m = 47 + -32. Solve -m*p**2 + 1497*p**3 - 1500*p**3 + 0*p**2 = 0.
-5, 0
Let y = 294/155 - 34/31. What is u in y*u**3 + 0*u + 0*u**2 + 0 + 2/5*u**4 = 0?
-2, 0
Let j(l) = l**4 + 286*l**3 + 21034*l**2 - 21301*l. Let z(v) = -v**3 + 2*v**2 + 3*v. Let u(w) = -3*j(w) + 15*z(w). Factor u(m).
-3*m*(m - 1)*(m + 146)**2
Let x(s) be the first derivative of -s**5/80 + s**4/6 - 2*s**3/3 + 37*s - 40. Let k(j) be the first derivative of x(j). Determine w so that k(w) = 0.
0, 4
Factor -166 + 85 + 3*u**2 + 159*u + 81.
3*u*(u + 53)
Let w = 9/463 - -1344/2315. Find r, given that 0*r - w*r**2 - 3/5*r**4 - 6/5*r**3 + 0 = 0.
-1, 0
Suppose 0 = 5*s - 4*v + 2*v + 3, v = 4*s. Let j be 11/(-4) + -3*(-2 + s). Factor -5/4*f - 3/4*f**2 - 1/2 + j*f**4 + 1/4*f**3.
(f - 2)*(f + 1)**3/4
Suppose 1/2*c**5 + 143/2*c**4 + 15841/2*c - 5329/2 + 2447*c**3 - 7775*c**2 = 0. Calculate c.
-73, 1
Let l(x) be the second derivative of 5/6*x**4 + 0 - 1/15*x**6 - 2/3*x**3 + 9*x + 0*x**2 + 1/21*x**7 - 3/10*x**5. Find c such that l(c) = 0.
-2, 0, 1
Find v, given that -21 + 234*v**3 - 81*v**2 - 3 - 219*v**3 + 90*v = 0.
2/5, 1, 4
Factor -13*u**3 - 24*u**2 + 3*u**3 - 60 + 4*u**3 + 8*u**3 - 41*u - 45*u.
2*(u - 15)*(u + 1)*(u + 2)
Suppose -4*p = -7*p + 33. Let r = p - 8. Factor -u**2 + 0*u**2 + u + 3*u**2 - r*u.
2*u*(u - 1)
Let p be (-5)/((-15)/12) + 1. Factor -30 - 12*c + p*c**2 - 15*c + 2*c.
5*(c - 6)*(c + 1)
Let z = 37358 + -37356. Factor -242/13*j**3 + 506/13*j**z - 336/13*j + 72/13.
-2*(j - 1)*(11*j - 6)**2/13
Solve 2*a**5 + 0*a**4 + 8*a**5 + 11*a**4 - 2*a**5 + 33*a**3 - 50*a - 7*a**5 + 5*a**2 = 0 for a.
-5, -2, 0, 1
Let d(q) = q**3 - 24*q**2 - 26*q + 27. Let r be d(25). Factor 12*h**r + 6*h + 2*h + 2 - 8*h**2 + 2.
4*(h + 1)**2
Let w be (-6)/(-8 + -1 + 7). Let l be (-1)/(-3) - (-4)/(-12). Find b such that -3*b - 3/4*b**w + l + 3*b**2 = 0.
0, 2
Let t(p) be the first derivative of -p**5/300 + p**4/30 - p**3/10 + 2*p**2 + 4. Let o(d) be the second derivative of t(d). Factor o(f).
-(f - 3)*(f - 1)/5
Let h = 200 + -195. Let v(s) be the second derivative of 0 + 0*s**2 - 2/21*s**4 + s + 1/5*s**h - 11/105*s**6 + 5/294*s**7 + 0*s**3. Factor v(k).
k**2*(k - 2)**2*(5*k - 2)/7
Let u(n) = n**2 + 16*n - 56. Let w be u(-19). Let o(v) be the first derivative of -3/2*v**4 + 0*v**3 + 3/5*v**5 + 1/2*v**6 - w + 0*v**2 + 0*v. Factor o(x).
3*x**3*(x - 1)*(x + 2)
Solve -7*m**2 + 11*m + 5*m + 16 + 29*m**2 - 5*m**4 + 20*m + 3*m**4 = 0 for m.
-2, -1, 4
Find z, given that -152/9*z + 148/9 + 4/9*z**2 = 0.
1, 37
Let k(b) = b**5 - b**3 - b**2 + 1. Let j(f) = 3*f**4 + 2*f**3 - 8*f**2 - 6*f + 1. Let m(o) = -4*j(o) + 4*k(o). Factor m(x).
4*x*(x - 3)*(x - 2)*(x + 1)**2
Let t = -2194 + 2196. Let p(d) be the first derivative of t*d - d**4 + 15 + 6/5*d**5 - 8/3*d**3 + 2*d**2. What is v in p(v) = 0?
-1, -1/3, 1
Let a(w) = w**2 - 4. Let s(b) = -8*b**2 + 56*b - 12. Let u(m) = -12*a(m) - s(m). Factor u(q).
-4*(q - 1)*(q + 15)
Let 0 - 128/5*t + 2/5*t**4 + 8/5*t**3 - 32/5*t**2 = 0. What is t?
-4, 0, 4
Let f = -20353 + 20353. Factor f + 1/11*y**4 + 0*y**2 + 0*y - 2/11*y**3.
y**3*(y - 2)/11
Let g be (-26)/455 - (-648)/315. Let q(t) be the first derivative of -2/7*t - 4/7*t**3 - 2/7*t**4 + 2 - 4/7*t**g - 2/35*t**5. Factor q(l).
-2*(l + 1)**4/7
Let o(t) = -t**2 - 348*t - 30623. Let s(z) = 5*z**2 + 1739*z + 153114. Let m(u) = 11*o(u) + 2*s(u). Factor m(l).
-(l + 175)**2
Suppose -14*y - 2*y = -80. Let r(c) be the second derivative of 0*c**2 + 1/15*c**3 - 1/50*c**y + 8*c + 0 + 0*c**4. What is l in r(l) = 0?
-1, 0, 1
Let m(n) be the first derivative of -n**8/1176 + n**7/245 - n**6/140 + n**5/210 - 5*n**2 + 20. Let b(z) be the second derivative of m(z). Factor b(x).
-2*x**2*(x - 1)**3/7
Let s(w) = 5*w**5 + 76*w**4 + 504*w**3 + 432*w**2 - 2. Let h(l) = 2*l**5 + l**4 - 2. Let x(p) = -h(p) + s(p). Factor x(o).
3*o**2*(o + 1)*(o + 12)**2
Let q be 0/(((-56)/42)/((-4)/6))*1. Solve 2/17*h**3 - 2/17*h**2 + q + 0*h = 0 for h.
0, 1
Suppose 456*x - 453*x - 15 = 0. Let u(v) be the first derivative of 4/3*v**3 - 8/11*v**2 - 3 - 12/11*v**4 + 18/55*v**x + 2/11*v. Factor u(g).
2*(g - 1)**2*(3*g - 1)**2/11
Let o(h) = 5*h - 34. Let r be o(8). Suppose 3*q + r = q - 4*p, 0 = -4*q + 5*p + 40. Let 1/2*m**4 + 0 - 1/3*m**3 - 1/6*m**q + 0*m + 0*m**2 = 0. What is m?
0, 1, 2
Suppose 17*f + 3*f = 100. Let u(o) be the third derivative of 1/168*o**4 + 1/210*o**f + 0*o + 1/840*o**6 + 5*o**2 + 0 + 0*o**3. Find w such that u(w) = 0.
-1, 0
Let w(y) be the second derivative of 10*y**2 + 0 + 10/3*y**3 + 5/12*y**4 + 32*y. Determine x so that w(x) = 0.
-2
What is g in -26912/3 - 464/3*g - 2/3*g**2 = 0?
-116
Let m be -11 + 7 + (52/20 - (-2 - 0)). Factor 2/5*p**3 + 0*p + 0*p**2 + 1/5*p**5 + m*p**4 + 0.
p**3*(p + 1)*(p + 2)/5
Let d(s) be the second derivative of -s**5/4 - 15*s**4/4 - 45*s**3/2 - 135*s**2/2 - 2*s - 56. Find i such that d(i) = 0.
-3
Suppose 2*l = o + 57, 4*l = 5*o + 290 - 23. Let y = o + 54. Factor -1/4*f**y - 1/2*f**2 + 0*f + 0 + 1/4*f**4.
f**2*(f - 2)*(f + 1)/4
Suppose 0 = -14*d + 13*d + 2. Let f(a) be the third derivative of -1/150*a**5 - 4*a**d + 0 + 0*a + 0*a**4 + 1/15*a**3. Factor f(k).
-2*(k - 1)*(k + 1)/5
Let b = 56 - 26. Factor 23*j**2 - b*j**3 + 37*j**2 - 4*j**4 + 9*j**4 + 15 - 50*j.
5*(j - 3)*(j - 1)**3
Let s(p) = -3*p**2 - 155*p + 215. Let x be s(-53). Factor 2/15 + 2/15*r**4 - 2/15*r + 4/15*r**x - 4/15*r**2 - 2/15*r**5.
-2*(r - 1)**3*(r + 1)**2/15
Let n = -19 + 23. Suppose 2*h + n*m - 5 = 3*m, 4*h - m - 1 = 0. Find u, given that -h + u + 3 - u**2 - 4*u + 2*u = 0.
-2, 1
Let c(r) be the third derivative of r**6/60 + 4*r**5/45 + r**4/9 + r**2 - 67. Factor c(f).
2*f*(f + 2)*(3*f + 2)/3
Let p = 751 - 1501/2. Let j(x) be the first derivative of 0*x**3 + 0*x**2 - 6 + 0*x**5 + 0*x - 1/3*x**6 + p*x**4. Find i, given that j(i) = 0.
-1, 0, 1
Let f(n) 