vative of o(x). Factor q(f).
-f*(f - 1)*(f + 3)/4
What is o in 48/5 + 18/5*o**2 + 44*o = 0?
-12, -2/9
Let i(r) be the second derivative of r**7/21 + 19*r**6/60 + 19*r**5/40 - 11*r**4/12 - 7*r**3/3 + 2*r**2 - 15*r. Suppose i(a) = 0. Calculate a.
-2, 1/4, 1
Suppose 2*h - 4*f + 164 = -h, 43 = -h - f. Let g = h - -48. Find j, given that 0*j**2 + 2/3*j**5 + 0*j**4 + 2/3*j + g - 4/3*j**3 = 0.
-1, 0, 1
Let v(h) be the third derivative of h**6/120 - 17*h**5/60 - 10*h**4/3 - 14*h**3 - 326*h**2. Factor v(k).
(k - 21)*(k + 2)**2
Suppose 177145*g = 177172*g - 54. Factor -121/5 - 22/5*a - 1/5*a**g.
-(a + 11)**2/5
Suppose 2*h + 4*p = 6, 3*p - 4 = 3*h - 22. Factor -12*s**3 + 15*s**3 - 4*s + h*s - 4*s.
3*s*(s - 1)*(s + 1)
Let m be 2/38*-14*(18 - 4)/(-14). Factor -2/19*z**3 - m*z**2 - 18/19 - 30/19*z.
-2*(z + 1)*(z + 3)**2/19
Factor 389344 + 380*h**2 - 247*h**2 + 4*h**3 + 419*h**2 + 25392*h.
4*(h + 46)**3
Let y(v) = -v - 7. Let u be y(-11). Let b be 3 - (-3 - (-12)/u). Factor 3*i**2 - i**2 + 0*i**2 - i**b + i**5 - 2*i**3.
i**2*(i - 1)**2*(i + 2)
Let h(z) be the second derivative of -z**7/14 + 4*z**6/5 + 93*z**5/20 + 11*z**4/2 - 84*z + 1. Determine t so that h(t) = 0.
-2, -1, 0, 11
Let r be 8*(1 - 0) + -3. Solve -3*s**r + 0*s**3 + 8*s**5 - 4*s**3 - s**5 = 0 for s.
-1, 0, 1
Let z = 50 + -52. Let r(i) = -9*i**4 - 7*i**3 - 4*i**2 - 2. Let x(c) = -10*c**4 - 6*c**3 - 5*c**2 - 3. Let y(n) = z*x(n) + 3*r(n). What is j in y(j) = 0?
-1, -2/7, 0
Let r(b) be the third derivative of -b**7/1050 + b**6/150 - b**5/100 + 3*b**2 + 10. Factor r(p).
-p**2*(p - 3)*(p - 1)/5
Let l(j) be the third derivative of -j**5/30 - 7*j**4/4 - 38*j**3/3 + 3*j**2 + 10*j. Let l(p) = 0. Calculate p.
-19, -2
Let h(j) = -42*j**2 - 7*j + 43*j**2 + 7 + j. Let c be h(5). Let 0*n - 4*n**2 + c*n - 9*n - n = 0. What is n?
-2, 0
Let w be (-205)/(-41) + (-6)/(0 + 3). Factor -9/4*t**4 - 3/2*t**w + 9/4*t - 3/4*t**5 + 3/4 + 3/2*t**2.
-3*(t - 1)*(t + 1)**4/4
Let b(k) be the first derivative of k**3/15 - 3*k**2/2 + 44*k/5 - 68. Factor b(i).
(i - 11)*(i - 4)/5
Let h(d) = -8*d**3 - d**2 - 2*d - 1. Let c be h(-2). Factor v**2 - 3*v**2 + 69 - 4*v - c.
-2*(v - 1)*(v + 3)
Let p = -29 - -31. Factor -5*z**2 - p*z + 5*z + 2*z + 0*z.
-5*z*(z - 1)
Suppose 4*z - 3*b - 10 = 0, b - 19 = -5*z + 3. Factor 0*h - 4/7*h**2 + h**3 + 0 - 1/7*h**5 - 2/7*h**z.
-h**2*(h - 1)**2*(h + 4)/7
Suppose -35*y**3 - 133*y + 21*y**4 + 133*y + 2*y**5 + 12*y**2 = 0. What is y?
-12, 0, 1/2, 1
Let d(l) = -6*l**2 + 14*l + 11. Let j(u) = 5*u**2 - 12*u - 14. Let p(q) = -6*d(q) - 5*j(q). Solve p(y) = 0.
2/11, 2
Suppose 4 = 5*f - m - 14, -4*f = -5*m - 6. Suppose -3*o**f - 32 - 61*o - 3*o - 48*o**2 - 16*o**3 + o**4 = 0. What is o?
-2
Let a(s) be the second derivative of -24*s + s**3 + 0 - 18/7*s**2 + 1/70*s**5 - 4/21*s**4. Suppose a(r) = 0. Calculate r.
2, 3
Let g be -5 + ((-12)/(-10 - -6) - -7). Let w(i) be the first derivative of 2/5*i**g + 8 + 0*i - 2*i**3 + 2*i**2 + 0*i**4. Find u, given that w(u) = 0.
-2, 0, 1
Let y(l) be the first derivative of 108*l**5/25 - 3*l**4/4 - 49*l**3/3 + 18*l**2 - 28*l/5 - 72. Determine d so that y(d) = 0.
-7/4, 2/9, 2/3, 1
Suppose 5*f = -2*u - 2, 0 = f - 3*u + 210 - 230. Factor -2*o**f - 8/5 + 16/5*o + 2/5*o**3.
2*(o - 2)**2*(o - 1)/5
Let a(c) be the third derivative of c**6/360 + c**5/180 - 4*c**2 - 1. Let a(n) = 0. What is n?
-1, 0
Factor 2*j + 0 + 2/7*j**3 + 16/7*j**2.
2*j*(j + 1)*(j + 7)/7
Let r(o) = o**4 - 6*o**3 - 2*o**2 + 3*o - 5. Let z(a) = 5*a**3 + 2*a**2 - a + 6. Let q(l) = 4*r(l) + 3*z(l). Find j, given that q(j) = 0.
-1, 1/4, 1, 2
Factor -3364 - 1/4*t**2 - 58*t.
-(t + 116)**2/4
Let t(j) = -j**2 + 4*j + 9. Let a be t(5). Suppose -2*c + a*c = -3*c. Factor 0 + 2/7*s**2 + c*s - 2/7*s**4 + 0*s**3.
-2*s**2*(s - 1)*(s + 1)/7
Let m(k) be the first derivative of 15/2*k**2 + 45*k - 1 - 25/3*k**3 + 5/4*k**4. Factor m(i).
5*(i - 3)**2*(i + 1)
Let o(p) = p + 8. Let v be -7 - ((-2)/(-6))/(5/(-15)). Let l be o(v). Find r, given that 0 - 4/11*r - 2/11*r**l = 0.
-2, 0
Suppose 48*o = 17*o + 62. Let y(j) be the first derivative of 2/3*j**3 + 1/2*j**o - 1 - 1/2*j**4 - 1/5*j**5 - j + 1/6*j**6. Find p, given that y(p) = 0.
-1, 1
Suppose 2*i - 19*y - 6 = -16*y, 4 = 5*i - 2*y. Let l(j) be the third derivative of -1/36*j**4 + 0*j - 1/60*j**5 + i + 0*j**3 - 7*j**2 - 1/360*j**6. Factor l(s).
-s*(s + 1)*(s + 2)/3
Let r(h) be the first derivative of -10*h**3/21 + 23*h**2/7 + 20*h/7 - 8. Factor r(z).
-2*(z - 5)*(5*z + 2)/7
Let l(w) be the second derivative of 0*w**2 - 5/3*w**4 - 1/4*w**5 - 5/2*w**3 - 6*w + 0. Factor l(q).
-5*q*(q + 1)*(q + 3)
Let a be 22 - (-19 + 33) - 20/3. Suppose -a - 2/3*n + 2/3*n**2 = 0. What is n?
-1, 2
Suppose 0 = 3*b + 25 - 1. Let p be (424/32)/((-2)/b). Determine h so that 8*h - p*h**3 + 108*h**3 + 392*h**5 + 15*h**3 + 714*h**4 + 340*h**3 + 96*h**2 = 0.
-1, -2/7, -1/4, 0
Let l(m) be the third derivative of -m**7/2940 - m**6/210 - m**5/35 - 2*m**4/21 + 5*m**3/3 - 7*m**2. Let d(f) be the first derivative of l(f). Factor d(c).
-2*(c + 2)**3/7
Let i be (-4)/(-24)*(2 - 0). Factor -1 - 4/3*y - i*y**2.
-(y + 1)*(y + 3)/3
Let z(a) = -13*a - 7. Let v be z(-5). Let i = -115/2 + v. Factor 1/4 + 1/2*s + 0*s**2 - i*s**3 - 1/4*s**4.
-(s - 1)*(s + 1)**3/4
Let o = -71 + 116. Suppose -2*h = o - 51. Determine x, given that 3/4*x**2 - 1/4*x**h + 1/4 - 3/4*x = 0.
1
Let n(k) be the second derivative of k**7/2 - 33*k**6/10 + 117*k**5/20 - 7*k**4/4 - 3*k**3 + 113*k. Determine g so that n(g) = 0.
-2/7, 0, 1, 3
Let q(f) be the first derivative of 0*f**5 + 3*f**4 - 28 - 1/2*f**6 + 6*f - 9/2*f**2 - 2*f**3. Suppose q(w) = 0. What is w?
-2, -1, 1
Let -8*r**2 + 4*r**3 + 449 - 8*r**3 - 449 + 32*r = 0. What is r?
-4, 0, 2
Let t(m) = -m**5 + m**4 - m**3 + m**2 + 1. Let x(w) = 2*w**5 - 24*w**3 + 2*w**2 + 6. Let r(c) = -6*t(c) + x(c). Suppose r(f) = 0. What is f?
-1, -1/4, 0, 2
Let l be (-3)/(((-35)/(-10))/(-7)). Let s(w) be the first derivative of l + 2/45*w**3 - 2/15*w + 0*w**2. Let s(q) = 0. Calculate q.
-1, 1
Let i(a) be the first derivative of a**5/5 - 8*a**3/3 + 16*a + 255. Let i(g) = 0. Calculate g.
-2, 2
Let g(t) = -2*t**3 + 9*t**2 - 7*t - 24. Let o(q) = -6*q**3 + 26*q**2 - 20*q - 72. Let d(s) = 20*g(s) - 6*o(s). What is l in d(l) = 0?
-1, 3, 4
Suppose 4*f - 5*c = 1 + 11, 12 = 4*f - c. Factor 101 + 135*o + 45*o**2 + 74 - 40 + 2*o**3 + 3*o**f.
5*(o + 3)**3
Let f be (-30)/(-18) - (-2)/6. Factor 95*g**f + 2 + 21*g**3 - 5 - 17 + 14*g**3 + 40*g.
5*(g + 1)*(g + 2)*(7*g - 2)
Let w(k) = k**3 + 4*k**2 - 5*k + 3. Let o be w(-5). Let 0*h**3 - h**3 + 15 + 3*h - 4*h**o - 15*h**2 + 2*h**3 = 0. Calculate h.
-5, -1, 1
What is v in -15*v**4 + 2*v**5 - 10*v**4 - 2*v + 4*v**2 + 21*v**4 = 0?
-1, 0, 1
Suppose -12 = -p - 10. Let -45*v**4 - 4*v**3 + 2*v + 31*v**4 + 14*v**2 + p*v = 0. What is v?
-1, -2/7, 0, 1
Let i(p) be the third derivative of 0*p**3 + 0*p + 2/105*p**7 + 1/168*p**8 - 1/15*p**5 + 0*p**4 + 11*p**2 + 0 - 1/60*p**6. Factor i(r).
2*r**2*(r - 1)*(r + 1)*(r + 2)
Let o(l) be the second derivative of l**6/40 - l**5/120 + 19*l**2/2 + 28*l. Let a(v) be the first derivative of o(v). Find q such that a(q) = 0.
0, 1/6
Solve 569*f**2 + 162*f**4 + 221*f**2 + 1808*f**2 + 1128 + 1041*f**3 + 458*f + 3*f**5 + 2386*f = 0.
-47, -2, -1
Let t(i) be the first derivative of i**5/210 - 6*i**2 - 3. Let y(h) be the second derivative of t(h). Factor y(m).
2*m**2/7
Let i(x) be the first derivative of 10*x**3/3 + 2*x**2 - 32*x - 23. Suppose i(z) = 0. What is z?
-2, 8/5
Factor 5*i**3 + 0*i**3 + 250 - 40*i**2 - 3*i + 11*i + 17*i.
5*(i - 5)**2*(i + 2)
Suppose 0 = -3*s - z + 3, s - 5 = -4*s + 4*z. Let y**2 - s - y + 4*y - 4 + 1 = 0. What is y?
-4, 1
Let i(m) be the third derivative of m**5/15 - 69*m**4/8 - 26*m**3/3 - 227*m**2. Factor i(g).
(g - 52)*(4*g + 1)
Let m(w) be the first derivative of w**4/10 - 124*w**3/15 - 127*w**2/5 - 128*w/5 + 134. Factor m(r).
2*(r - 64)*(r + 1)**2/5
Let x = 2041/2 - 1020. Factor -x*g**2 - 1 + 3/2*g.
-(g - 2)*(g - 1)/2
What is i in -350*i - 20*i**2 - 2/7*i**3 + 0 = 0?
-35, 0
Let y(l) be the second derivative of l**7/84 + l**6/12 + l**5/40 - 17*l**4/24 - 11*l**3/6 - 2*l**2 + 11*l + 28. Factor y(t).
(t - 2)*(t + 1)**3*(t + 4)/2
Let f(m) be the second derivative of m**6/120 - m**5/15 + m**4/6 + 3*m**2/2 + 7*m. Let s(j) be the first derivative of f