et n(x) = 9*x**2 - 7*x + 4. Let r(h) = 4*c(h) + n(h). Let s(w) = 21*w**2 - 45*w. Let f(k) = -9*r(k) + 2*s(k). What is u in f(u) = 0?
0, 3
Let -29/9*v**3 - 16/3 - 1/3*v**4 - 32/3*v**2 - 124/9*v = 0. Calculate v.
-4, -3, -2, -2/3
Let t = -142 - -1280/9. Let w = 3/202 + 377/1818. Factor t*v + w*v**2 + 0.
2*v*(v + 1)/9
Let a(j) be the third derivative of -7*j**5/90 + 121*j**4/36 - 34*j**3/9 - 51*j**2 - 1. Solve a(y) = 0 for y.
2/7, 17
Let a(b) be the second derivative of -b**10/10080 + b**9/840 - 9*b**8/2240 + b**7/210 - 5*b**4/12 + 22*b. Let p(i) be the third derivative of a(i). Factor p(k).
-3*k**2*(k - 4)*(k - 1)**2
Let f be (-4 - -2 - 1) + 35. Suppose 0 = -2*a - 6*a + f. Factor 2/7*y**2 - 2/7*y**a + 0 + 4/7*y - 4/7*y**3.
-2*y*(y - 1)*(y + 1)*(y + 2)/7
Let n(s) = -19*s**3 - 19*s**2 + 35*s + 59. Let m(l) = 3*l**3 + 3*l**2 - 6*l - 10. Let u be (-77)/2 - 5/20*2. Let i(a) = u*m(a) - 6*n(a). Factor i(v).
-3*(v - 3)*(v + 2)**2
Let r be ((-14)/2)/(5 - 6). Let f(v) be the third derivative of 0 - 1/120*v**6 + 0*v**3 + 1/60*v**5 + 0*v - 1/210*v**r + 5*v**2 + 1/24*v**4. Factor f(x).
-x*(x - 1)*(x + 1)**2
Let l(z) = -5*z**2 - z - 6. Let d(u) = -4*u**2 - 2*u - 5. Let k = 51 + -45. Let i(n) = k*d(n) - 5*l(n). Factor i(q).
q*(q - 7)
Factor k**2 + 2*k**2 + 0*k**2 - 201*k + 50 - 15*k**2 + 16*k**2.
(k - 50)*(4*k - 1)
Let l(t) be the first derivative of 49*t**4/5 - 2828*t**3/15 - 832*t**2/5 - 48*t - 83. What is p in l(p) = 0?
-2/7, 15
Let r(m) = -m**3 - m**2 + 3. Let o(d) = -d**2 + d - 1. Let x = -87 + 84. Let j(b) = x*r(b) - 3*o(b). Factor j(w).
3*(w - 1)*(w + 1)*(w + 2)
Let w(j) be the second derivative of -j**4/15 + 16*j**3/15 - 32*j**2/5 + 14*j + 2. Factor w(r).
-4*(r - 4)**2/5
Let n(b) be the second derivative of 4/3*b**3 + 8/3*b**4 + 0 - 14/15*b**6 + 2/5*b**5 - 2*b**2 + 3*b - 8/21*b**7. Let n(o) = 0. What is o?
-1, 1/4, 1
Let h(z) be the third derivative of -z**6/180 - 7*z**5/90 - z**4/6 - 88*z**2. Factor h(d).
-2*d*(d + 1)*(d + 6)/3
Let d(p) = 52*p**2 + 112*p + 16. Let b(a) = 26*a**2 + 56*a + 8. Let o(m) = 5*b(m) - 2*d(m). Let o(n) = 0. What is n?
-2, -2/13
Let o be 87/(-9) + (-1)/3. Let n = 13 + o. Solve 3*t - 2*t**3 + 3*t**n + 1 + 0*t**3 + 3*t**2 = 0 for t.
-1
Factor -13296 - 9308 + 5*l**2 + 600*l + 442 - 9*l**2 - 338.
-4*(l - 75)**2
Let a = 9 + -4. Let u(z) = 15*z**2 + 4*z**2 + 6*z - 15*z. Let i(s) = 9*s**2 - 4*s. Let c(q) = a*i(q) - 2*u(q). Factor c(y).
y*(7*y - 2)
Factor -5/2*b - 3 + 35/2*b**3 + 18*b**2.
(b + 1)*(5*b - 2)*(7*b + 3)/2
Let t(o) be the third derivative of 0 - 1/6*o**4 + 0*o - 1/180*o**6 - o**3 + 1/20*o**5 + 2*o**2. Let r(m) be the first derivative of t(m). Factor r(s).
-2*(s - 2)*(s - 1)
Let q be (-20 + (-1679)/(-138) - -8*1)*9. Let 9/2*c**4 - 3*c**3 + q*c**5 - 9*c**2 + 3/2*c + 9/2 = 0. Calculate c.
-3, -1, 1
Let z(f) be the first derivative of -2*f**5/35 - 5*f**4/14 - 4*f**3/21 + 20*f**2/7 + 48*f/7 + 288. Solve z(p) = 0.
-3, -2, 2
Suppose 0 = 3*q - 48 + 3. Let c(x) = -x**3 + 16*x**2 - 14*x - 12. Let l be c(q). Suppose 1/4*a + 0*a**2 - 1/4*a**l + 0 = 0. Calculate a.
-1, 0, 1
Suppose 5 = 5*f, 2*f - 7 = 5*k - 15. Let -3/2 - 9/4*x + 3/2*x**k + 3*x**3 + 0*x**4 - 3/4*x**5 = 0. Calculate x.
-1, 1, 2
Let i(z) be the first derivative of 2*z**6/15 - z**4/3 + z - 8. Let h(o) be the first derivative of i(o). Factor h(y).
4*y**2*(y - 1)*(y + 1)
Factor 5*d**5 + 14*d**2 - 2*d**4 - 3*d**5 + 5*d**2 - 2*d**3 - 2*d**2 - 15*d**2.
2*d**2*(d - 1)**2*(d + 1)
Let l(i) = -16*i**3 + 43*i**2 - 26*i - 1. Let o(c) = 80*c**3 - 214*c**2 + 130*c + 4. Let y(q) = -16*l(q) - 3*o(q). Factor y(h).
2*(h - 2)*(h - 1)*(8*h + 1)
Let j(d) be the second derivative of -d**7/13860 - 7*d**4/12 - 11*d. Let o(m) be the third derivative of j(m). Factor o(g).
-2*g**2/11
Let w(p) = -p**3 - p**3 - 32*p**2 - 3*p**3 + 24*p**2 + 13*p. Let x(k) = -11*k**3 - 16*k**2 + 26*k + 1. Let j(y) = 13*w(y) - 6*x(y). Factor j(v).
(v - 6)*(v - 1)**2
Let g(u) be the first derivative of -8*u**3/21 + u**2/7 + 16. Factor g(f).
-2*f*(4*f - 1)/7
Let s(h) = 11*h - 30. Let q be s(10). Let j be (q/21 - 4)*3/(-2). Find p, given that 0*p + 0*p**4 + 0 - j*p**3 + 2/7*p**5 + 0*p**2 = 0.
-1, 0, 1
Suppose 4*q - 7*q = 9. Let x be 3 - (2 - (q - -9)). Factor x*y - y - 2*y**4 + 5*y**4 - 9*y**2.
3*y*(y - 1)**2*(y + 2)
Determine o, given that -77 - 3*o**4 - 17*o**3 + 76*o + 42*o**2 + 4*o**4 + 0*o**4 + 277 + 184*o = 0.
-2, -1, 10
Let u be ((-69)/(-46))/((-1)/2). Let o(w) = -45*w**3 - 44*w**2 + w. Let r(d) = 15*d**3 + 15*d**2. Let i(l) = u*o(l) - 8*r(l). Factor i(h).
3*h*(h + 1)*(5*h - 1)
Factor 54 + 2/3*a**3 + 42*a - 34/3*a**2.
2*(a - 9)**2*(a + 1)/3
Let i = -26871/2 + 13438. Determine g, given that -1/4*g**2 - 2 - 1/4*g**3 + i*g = 0.
-4, 1, 2
Determine z so that -1070*z - 104*z**3 - 1530*z + 9*z**4 - 1250 - 18*z**4 - 1452*z**2 + 7*z**4 = 0.
-25, -1
Let k = -3249 + 29318/9. Let g(t) be the first derivative of -49/12*t**4 - k*t**3 - 4/3*t + 8 - 16/3*t**2. Find r, given that g(r) = 0.
-1, -2/7
Let i = 31445 + -94334/3. Factor -i*s**4 - 1/3*s**3 + 4/3*s + 0 + 4/3*s**2.
-s*(s - 2)*(s + 1)*(s + 2)/3
Let o be (((-372)/(-992))/((-2)/(-16)))/(45/3). Factor 4/5*t + 0 - o*t**2.
-t*(t - 4)/5
Factor 8/5*j + 4 - 11/5*j**2 + 1/5*j**3.
(j - 10)*(j - 2)*(j + 1)/5
Let c be ((-316)/(-84))/(3/27) - 462/154. What is m in -c*m - 40/7*m**3 - 144/7*m**2 - 4/7*m**4 - 108/7 = 0?
-3, -1
Let r(s) = 10*s - 15. Let w be r(6). What is d in -1 - w*d + 18*d + 29*d - d**2 = 0?
1
Let o(t) = -2*t**3 + t**2 + t - 1. Let m(i) = 5*i**3 - 118*i**2 + 1079*i + 1201. Let a(s) = m(s) + o(s). Determine q so that a(q) = 0.
-1, 20
Let i = 757 - 754. Let r(f) be the third derivative of -i*f**3 + 1/2*f**4 + 2*f**2 + 0 + 0*f - 1/30*f**5. Solve r(a) = 0 for a.
3
Let d be ((-39)/15)/(-11 + 10). Let t be (-7)/(-5) + 3 + 3/(-1). Factor -2/5 + d*m + 23/5*m**3 - 27/5*m**2 - t*m**4.
-(m - 1)**3*(7*m - 2)/5
Suppose -9 = -z + 2*r, -3*r = -3*z + 28 - 10. Let a be -3*z/(9/(-2)). Factor f**a - 16*f**4 + 7*f**2 - 20*f + 18*f**3 + 8 - 2*f**3 + 4*f**5.
4*(f - 2)*(f - 1)**3*(f + 1)
Factor 0*y**4 + 0 + 4/5*y + 4/5*y**5 - 8/5*y**3 + 0*y**2.
4*y*(y - 1)**2*(y + 1)**2/5
Let h = 48856/13 + -3758. Let 2/13 - 2/13*w**2 - h*w**3 + 2/13*w = 0. Calculate w.
-1, 1
Let z be -1 + (249/329 - 2/(-7)). Let x = z - -1494/235. Factor -x*a**3 - 8/5*a**2 + 0*a - 18/5*a**5 - 42/5*a**4 + 0.
-2*a**2*(a + 1)*(3*a + 2)**2/5
Solve 8/9*w - 2/9*w**4 + 2/9*w**5 - 8/9 + 10/9*w**2 - 10/9*w**3 = 0.
-2, -1, 1, 2
Let k be (-2 - -4) + (-55)/33. Let l be (27/135)/(6/10). Solve 0*g - l*g**2 - k*g**3 + 1/3*g**4 + 1/3*g**5 + 0 = 0 for g.
-1, 0, 1
Let t(q) be the second derivative of -q**7/630 + q**6/120 - q**4/18 - 12*q**2 + 6*q. Let j(x) be the first derivative of t(x). Factor j(w).
-w*(w - 2)**2*(w + 1)/3
Let i(d) be the first derivative of -2*d**5/45 - 2*d**4/9 + 75. Factor i(z).
-2*z**3*(z + 4)/9
Suppose 0 = -h + 4*x + 15, -4*x + 8*x - 3 = -5*h. Let a(s) be the second derivative of 1/12*s**4 - 1/12*s**3 + 0*s**2 + 0 - 1/40*s**5 + h*s. Factor a(y).
-y*(y - 1)**2/2
Let o(s) be the third derivative of s**8/30240 - s**7/7560 - s**6/540 - s**5/6 + 4*s**2. Let y(n) be the third derivative of o(n). Let y(i) = 0. What is i?
-1, 2
Let u(c) be the second derivative of -c**7/126 - c**6/18 - 7*c**5/60 - c**4/12 - 78*c. Factor u(b).
-b**2*(b + 1)**2*(b + 3)/3
Let w(h) be the third derivative of h**8/90720 - h**7/11340 + 7*h**5/60 - h**2. Let q(b) be the third derivative of w(b). Factor q(v).
2*v*(v - 2)/9
Let v be ((-14)/(-168))/(2/6). Let c(a) be the first derivative of a - 1/3*a**3 - 5 + 1/2*a**2 - v*a**4. Factor c(j).
-(j - 1)*(j + 1)**2
Let 0 + 2/3*p - 8/9*p**2 = 0. What is p?
0, 3/4
Let b be ((-94)/(-141))/((-2)/(-1)). Determine v so that 0 + v**3 - v**2 + b*v - 1/3*v**4 = 0.
0, 1
Let q(s) be the first derivative of 0*s - 8/3*s**3 + 8/5*s**5 - 1 + 0*s**2 + s**4 - 2/3*s**6. Let q(x) = 0. What is x?
-1, 0, 1, 2
Factor -2/3*r**3 + 11/3*r**2 - 2 + 7/3*r.
-(r - 6)*(r + 1)*(2*r - 1)/3
Let g(u) = -2*u**3 + 18*u**2 + u - 7. Let y be g(9). Let j(o) be the first derivative of -1/2*o - 2 - 1/6*o**3 + 1/2*o**y. Find t such that j(t) = 0.
1
Let g = 1679 - 1673. Let d(m) be the third derivative of -11/135*m**5 + 0*m - 1/3*m**3 - 2/135*m**6 + g*m**2 - 2/9*m**4 + 0 - 1/945*m**7. Factor d(o).
-2*(o + 1)**2*(o + 3)**2/9
Let 59/3*j - 1/6*j**2 - 3