, 1
Let o(m) be the third derivative of 0*m**3 + 0 - 9/56*m**8 - 1/35*m**7 + 2/9*m**5 + 0*m + 13/30*m**6 - 2/9*m**4 - 11*m**2. Solve o(j) = 0 for j.
-2/3, 0, 2/9, 1
Let w(t) = -8*t**3 - 78*t**2 + 725*t + 795. Let k(g) = -2*g**3 + g - 1. Let i(r) = 5*k(r) - w(r). Factor i(y).
-2*(y - 20)**2*(y + 1)
Let j(r) be the third derivative of -4/33*r**3 + 1/660*r**6 + 2/165*r**5 + 0*r - 1/132*r**4 - 11*r**2 + 0. What is k in j(k) = 0?
-4, -1, 1
Let t be (-66)/264*288/(-27). Factor 4/3*v + 8/3*v**2 - t*v**3 - 4/3*v**4 - 4/3 + 4/3*v**5.
4*(v - 1)**3*(v + 1)**2/3
Let h = -14 + 20. Let v be (16/(-6) + 3)*h. Factor 2*k - 3*k**v - 3*k - 7*k - k.
-3*k*(k + 3)
Let l = -14722 + 14725. Suppose 5/7*w**2 + 1/7*w**l + 0 + 0*w = 0. Calculate w.
-5, 0
Let x = -703 + 739. Factor 9*a**2 + 48 - x*a - 3/4*a**3.
-3*(a - 4)**3/4
Let z(j) be the third derivative of j**8/784 - j**7/245 - 9*j**6/280 + j**5/70 + j**4/7 - 152*j**2. Suppose z(h) = 0. Calculate h.
-2, -1, 0, 1, 4
Let q(x) be the second derivative of -x**6/24 - 5*x**5/16 - 25*x**4/48 + 25*x**3/24 + 15*x**2/4 + 108*x. Find j such that q(j) = 0.
-3, -2, -1, 1
Suppose 131057 - 21339 = 146*o + 15110. Factor 3/4*h**4 - 18*h**3 + 972 + 162*h**2 - o*h.
3*(h - 6)**4/4
Suppose -5*i = 4*q - 0*i - 41, -3*i - 1 = -4*q. Let d be q - ((-39)/(-6) + -4). Factor 1/2*f**4 - d + f**2 - 2*f**3 + 2*f.
(f - 3)*(f - 1)**2*(f + 1)/2
Let z(b) be the second derivative of -b**6/1440 + b**4/96 + 3*b**3 + 9*b. Let h(k) be the second derivative of z(k). Factor h(x).
-(x - 1)*(x + 1)/4
Let i(y) = -3*y**4 + 17*y**3 + 5*y**2 - 13*y - 2. Let v(b) = 9*b**4 - 52*b**3 - 16*b**2 + 38*b + 7. Let t(h) = 7*i(h) + 2*v(h). Find k such that t(k) = 0.
-1, 0, 1, 5
Let w(c) = -6*c**2 - 120*c - 584. Let b(i) = -2*i**2 - 40*i - 195. Let s = -40 - -24. Let o(n) = s*b(n) + 5*w(n). Factor o(j).
2*(j + 10)**2
Factor 9/7*i**3 + 0 - 96/7*i**2 + 60/7*i.
3*i*(i - 10)*(3*i - 2)/7
Let f(d) be the second derivative of -2/3*d**3 + 5/6*d**4 + 1/15*d**6 + d - 2/5*d**5 + 0 + 0*d**2. Let f(x) = 0. What is x?
0, 1, 2
Let c(u) = u**3 + 7*u**2 - 9*u - 9. Let s be c(-4). Let o be ((-5)/s)/(11/6 + -2). Factor -4/5 - o*v**3 + 4/5*v - 1/5*v**4 + 3/5*v**2.
-(v - 1)**2*(v + 2)**2/5
Let j be -124*(-3)/(-42)*(-27)/(-6). Let w = j - -40. Solve -4/7 - w*k**3 + 0*k + 3/7*k**2 = 0 for k.
-1, 2
Let o(y) be the second derivative of 1/2*y**2 + 0 + 1/2*y**4 + 3/4*y**3 + 1/8*y**5 + 9*y. Suppose o(t) = 0. Calculate t.
-1, -2/5
Let d = -63 - -49. Let g be (-21)/15*4/d. Factor -3/5*l - 3/5*l**4 + 1/5 + 1/5*l**5 + 2/5*l**3 + g*l**2.
(l - 1)**4*(l + 1)/5
Let j(k) = -4*k**4 - 21*k**3 - 23*k**2 + 57*k + 49. Let m(z) = -z**4 - 7*z**3 - 7*z**2 + 19*z + 16. Let h(s) = 2*j(s) - 7*m(s). Let h(q) = 0. What is q?
-1, 2, 7
Let z(c) be the third derivative of 0*c**3 + 0 + 0*c - 1/108*c**6 - 1/945*c**7 + 0*c**4 - 1/90*c**5 - 6*c**2 + 1/1512*c**8. Factor z(n).
2*n**2*(n - 3)*(n + 1)**2/9
Let r(h) be the first derivative of -9*h**4/16 + 29*h**3/4 - 51*h**2/8 - 27*h/4 - 61. Factor r(x).
-3*(x - 9)*(x - 1)*(3*x + 1)/4
Let p be 296/222 + (-8)/6. Suppose p + 2/7*h**3 + 0*h + 4/7*h**2 = 0. Calculate h.
-2, 0
Let w(r) be the second derivative of -r**4/14 - 5*r**3/14 + 18*r**2/7 + r - 10. Factor w(h).
-3*(h + 4)*(2*h - 3)/7
Suppose 2*k = -8 + 12. Solve 0*u - 3*u**2 + 5*u + 0*u - k*u**2 = 0 for u.
0, 1
Let r(p) = -p**2 - 27*p + 45. Let o(f) = 3*f**2 + 26*f - 45. Let b(i) = -3*o(i) - 4*r(i). Factor b(t).
-5*(t - 3)**2
Let j be 3/(-6)*(-1 + -5). Determine g, given that -5*g + 0 - 2 + 5*g**2 + 3 + 5*g**3 - j - 3*g**4 = 0.
-1, -1/3, 1, 2
Suppose 5 - 25 = -5*q. Let z(g) be the first derivative of 33*g**3 + g**q - 33*g**3 - 9 - 2*g**2. Factor z(r).
4*r*(r - 1)*(r + 1)
Let w = -53939 - -377575/7. Determine r so that 18/7 + 0*r - w*r**2 = 0.
-3, 3
Let t(h) = -4*h + 2*h**2 + 5*h**2 - 3*h**2 - 2*h**2 - h**3. Let b(d) = d**3 - 2*d**2 + 3*d. Let x(i) = -7*b(i) - 6*t(i). Factor x(v).
-v*(v - 3)*(v + 1)
Let k(p) be the second derivative of p**7/840 + p**6/90 + p**5/30 + p**3/3 - 13*p. Let w(y) be the second derivative of k(y). Factor w(x).
x*(x + 2)**2
Let y(l) be the third derivative of -l**5/12 - 25*l**4/24 - 10*l**3/3 - 2*l**2 + 7. Find s such that y(s) = 0.
-4, -1
Factor -32/3*f - 10/3*f**3 + 32/3*f**2 + 0 + 1/3*f**4.
f*(f - 4)**2*(f - 2)/3
What is k in 23*k**2 - 89*k**2 - 153 + 153 - 20*k + 14*k**3 = 0?
-2/7, 0, 5
Let h(p) be the second derivative of 5*p**4/3 + 35*p**3/6 - 5*p**2 + 6*p - 3. Solve h(j) = 0 for j.
-2, 1/4
Factor -190*y + 11*y**2 - 7*y**2 + 4*y**2 - 6*y**2.
2*y*(y - 95)
Let j be -73 + 1/1 - 4. Let x = 76 + j. Factor 1/5*p**4 + 0 + 2/5*p**3 + 1/5*p**2 + x*p.
p**2*(p + 1)**2/5
Let l(t) be the third derivative of t**7/840 - t**6/80 - t**5/10 - 13*t**4/48 - 3*t**3/8 + t**2 + 90*t. What is b in l(b) = 0?
-1, 9
Let z be (-136)/(-10)*(-7 + 3 + 9). Factor 12 - 4*r**3 - 26*r**2 + z*r**2 - 28*r - 22*r**2.
-4*(r - 3)*(r - 1)**2
Let l(j) = -4*j - 16. Let i be l(-4). Let w(z) be the second derivative of -3*z + 1/16*z**4 + 0 + i*z**3 - 3/8*z**2. Factor w(g).
3*(g - 1)*(g + 1)/4
Let h(r) be the third derivative of 0 + 27*r**2 + 0*r - 245/48*r**5 - 1/6*r**3 - 35/24*r**4. Factor h(d).
-(35*d + 2)**2/4
Factor -24*t**2 + 3/2*t**3 + 126*t - 216.
3*(t - 6)**2*(t - 4)/2
Let y(v) = -v**2 + 14*v + 149. Let s be y(-7). Let l be -1 + (-1 - -5) + -1. Determine r so that -4 - 2*r**2 - 2*r - r**l + 5*r**s = 0.
-1, 2
Let z(n) be the third derivative of n**8/336 - n**7/21 + 11*n**6/40 - 2*n**5/3 + 2*n**4/3 + 87*n**2 - n. Factor z(u).
u*(u - 4)**2*(u - 1)**2
Let m(r) be the first derivative of r**3/12 + 7*r**2/8 - 2*r - 14. Suppose m(i) = 0. Calculate i.
-8, 1
Let j(s) be the second derivative of -s**7/357 - s**6/255 + 15*s**5/34 - 175*s**4/102 - 250*s**3/51 + 85*s. What is a in j(a) = 0?
-10, -1, 0, 5
Suppose -25 = -5*m, -h = -0*h - 4*m + 16. Suppose 14 = 3*x - h. Find r, given that 0*r**2 - x*r**2 + 1 + 2 + 3*r**3 + 3*r**2 - 3*r = 0.
-1, 1
Let x(i) be the first derivative of i**2 + 0*i - 25 - 2/3*i**3. Solve x(j) = 0.
0, 1
Let s = -2/8173 + -1724499/16346. Let z = s - -106. Factor -3/2*g**2 - 1/2 - z*g**3 - 3/2*g.
-(g + 1)**3/2
Let m = -12/437 + 1808/2185. Find o such that -6/5 + 2/5*o**2 + m*o = 0.
-3, 1
Let z(q) = q**4 + 121*q**3 + 9*q**2 - 116*q - 30. Let v(u) = u**4 + u**3 + u**2 - 6. Let p(c) = -5*v(c) + z(c). Factor p(m).
-4*m*(m - 29)*(m - 1)*(m + 1)
Suppose -2*f + 364 + 4 = 0. Factor -55*c**3 - 37 - 287 - 4*c**4 - f*c**2 - 9*c**3 + 576*c.
-4*(c - 1)**2*(c + 9)**2
Let m(p) be the first derivative of 2*p**3/27 + 7*p**2/9 + 45. Solve m(k) = 0.
-7, 0
Let p(x) be the third derivative of -x**8/504 + 2*x**7/105 - 13*x**6/180 + 2*x**5/15 - x**4/9 - 6*x**2. Let p(y) = 0. What is y?
0, 1, 2
Let u = 15920/3 - 5306. Suppose -u*o**2 - 4/3 + 2*o = 0. What is o?
1, 2
Let l = -2378/33 + 811/11. Find s, given that 5/3*s**4 - 10/3*s**2 + 10/3*s**3 - 5/3*s**5 - l*s + 5/3 = 0.
-1, 1
Determine c so that -34/19*c**2 + 64/19*c - 40/19 + 6/19*c**3 = 0.
5/3, 2
Let c(h) = 24*h + 1035. Let q be c(-43). Let -8/19*j**4 - 4/19*j + 0 - 8/19*j**q + 14/19*j**2 = 0. Calculate j.
-2, 0, 1/2
Let h be ((-2)/14)/((-2)/7). Let a(g) be the first derivative of 0*g + 1/3*g**6 + 4/5*g**5 + 0*g**3 + h*g**4 + 0*g**2 + 5. Factor a(o).
2*o**3*(o + 1)**2
Let r = 17 - 15. Let n(l) be the first derivative of -r*l**3 - l**2 + 2*l**2 - 2 + 4 - 7. Factor n(u).
-2*u*(3*u - 1)
Suppose -20 = -6*c + c. Suppose -14*p + 5*p = -81. Factor 9*a**2 + a**c + 2 - 2*a + p*a + 6*a**3 - a**3 + 0*a**3.
(a + 1)**3*(a + 2)
Solve 3/5*m + 27/5*m**4 + 9/5*m**3 + 0 - 3*m**2 = 0.
-1, 0, 1/3
Let r(s) be the first derivative of 3/4*s**4 + 10 - 3000*s + 450*s**2 - 30*s**3. Let r(m) = 0. Calculate m.
10
Suppose -73 = -2*a + 15. Let c = a + -44. Find u, given that 2*u**3 + c - u**2 + u**4 - 1/2*u - 3/2*u**5 = 0.
-1, -1/3, 0, 1
Let r = -280 - -282. Suppose -3*c + 5*q = -4*c - 17, r*q - 1 = -3*c. Let 16/5*t**2 - 4/5*t**c + 0 - 16/5*t = 0. Calculate t.
0, 2
Suppose 5*s + 28 = -30*h + 29*h, s - 4 = -5*h. Solve -54/7*w**3 + 250/7 + 270/7*w**h - 450/7*w = 0 for w.
5/3
Let u(v) be the third derivative of -v**8/4032 - v**7/1008 - v**5/12 - 9*v**2. Let a(s) be the third derivative of u(s). Let a(d) = 0. Calculate d.
-1, 0
Suppose -39*g**2 + 9/2*g**5 + 0 + 12*g - 24*g**4 + 93/2*g**3 = 0. Calculate g.
0, 1, 4/3, 2
Let l = -62 