ctor 10/3*t - 4/3*t**4 + j*t**3 - 2/3 - 6*t**2.
-2*(t - 1)**3*(2*t - 1)/3
Let q(p) = -p**2 + 16*p + 16. Let y(g) = -2*g**2 + 16*g + 16. Let f(u) = -6*q(u) + 5*y(u). Factor f(j).
-4*(j + 2)**2
Suppose 2*o + 3*u = 3*o - 9, -u + 11 = 2*o. Determine y, given that o - 13 + y**2 + 7 = 0.
0
Let f(b) be the first derivative of b**7/126 - b**6/90 - 3*b + 1. Let u(c) be the first derivative of f(c). Factor u(y).
y**4*(y - 1)/3
Let r(k) be the third derivative of k**8/84 - k**6/30 + 3*k**2. Suppose r(n) = 0. Calculate n.
-1, 0, 1
Let w = 772/3 + -257. Factor 0*s + 0*s**2 + w*s**4 + 0 + 1/3*s**3.
s**3*(s + 1)/3
Let i(r) be the second derivative of r**4/42 - r**3/7 + 2*r**2/7 - 5*r. Suppose i(j) = 0. What is j?
1, 2
Let k(s) be the first derivative of 0*s + 0*s**3 - 1/10*s**4 + 1/5*s**2 - 5. Factor k(x).
-2*x*(x - 1)*(x + 1)/5
Let z be (1/(-4))/(-12 + 7). Let s(a) be the first derivative of -1 + 0*a + 0*a**2 - 1/15*a**3 - z*a**4. Factor s(t).
-t**2*(t + 1)/5
Let w(n) be the second derivative of n**5/20 - n**4/6 - 2*n**3/3 + 4*n**2 - 7*n. Suppose w(l) = 0. What is l?
-2, 2
Let q(h) be the second derivative of h**4/4 - h**3 + 9*h. Factor q(f).
3*f*(f - 2)
Suppose -5*t = -3*c - 14, -5*t - c + 22 = -0*t. Suppose t*u = -k + 1 + 3, 0 = -5*k - 3*u + 20. Factor k*j**4 - j**2 - 4*j**2 - 4*j + 6*j**3 + 3*j**2 - 2 - 2*j.
2*(j - 1)*(j + 1)**2*(2*j + 1)
Factor -2*x**4 + 30/7*x**3 + 8/7*x - 26/7*x**2 + 0 + 2/7*x**5.
2*x*(x - 4)*(x - 1)**3/7
Let k(a) be the first derivative of a**3/6 - 5*a**2/2 + 25*a/2 - 31. Factor k(d).
(d - 5)**2/2
Let h(a) = a**2 + 8*a + 9. Let n be h(-7). Suppose -4*l + 3*l = y - 7, -2*l + n = -4*y. Determine z, given that -2*z + y*z**3 + 0*z**4 + z**4 + 0 - 2 + 1 = 0.
-1, 1
Suppose 10 + 152*r**3 - 4*r**5 - 20*r**2 - 16*r - 132*r**3 + 4*r**4 + 6 = 0. What is r?
-2, -1, 1, 2
Let s(d) = 15*d**2 - 20*d - 30. Let w(y) = -7*y**2 + 10*y + 15. Let u(t) = -2*s(t) - 5*w(t). Let u(k) = 0. Calculate k.
-1, 3
Suppose 3*l + 73 = 19. Let m = l + 18. Factor -1/4*i**2 + 3/4*i**4 + m*i**3 + 0 - 1/2*i**5 + 0*i.
-i**2*(i - 1)**2*(2*i + 1)/4
Let p(q) be the second derivative of -q**3/6 - 3*q**2 - 3*q. Let c be p(-8). Factor 0 + 1/2*i**3 + 1/2*i**c - 1/2*i**4 - 1/2*i.
-i*(i - 1)**2*(i + 1)/2
Factor -8/5*a**3 + 2*a**2 + 0 + 2/5*a**4 - 4/5*a.
2*a*(a - 2)*(a - 1)**2/5
Let y(p) = p**2 - p. Let v(t) = -t**3 + 6*t**2 - 3*t + 2. Let n(a) = v(a) - 6*y(a). Factor n(h).
-(h - 2)*(h + 1)**2
Let h(k) be the third derivative of -k**8/36960 + k**7/13860 + k**6/1980 + k**4/8 + 4*k**2. Let j(u) be the second derivative of h(u). Factor j(g).
-2*g*(g - 2)*(g + 1)/11
Let u(p) be the second derivative of 0*p**2 - 1/3*p**3 + 1/4*p**5 + 3*p - 1/4*p**4 + 0. Factor u(i).
i*(i - 1)*(5*i + 2)
Let g = -4 + 7. Suppose 5*y - 15 = 5*q, -6 = -q + g*y - 5*y. Find x, given that 0*x - 2/5*x**4 + 2/5*x**2 + q + 0*x**3 = 0.
-1, 0, 1
Let m(r) = r. Let y(z) = 2*z**2 + 6*z + 3. Let o(n) = 2*m(n) - y(n). Let q(c) = 3*c**2 + 7*c + 5. Let t(w) = -10*o(w) - 6*q(w). Find a such that t(a) = 0.
0, 1
Factor 1/3*b - 2/3 + 1/3*b**2.
(b - 1)*(b + 2)/3
Factor -13/9*v**2 - 2/3*v - 5/9*v**3 + 0.
-v*(v + 2)*(5*v + 3)/9
What is x in 4*x**4 - 2*x**4 - 9*x**3 + 8*x**2 + x**4 - 2*x**2 = 0?
0, 1, 2
Let n(r) = r**2 + 2*r - 1. Let i be n(1). Let p(k) be the first derivative of 5/3*k**3 - 3 + i*k - 9/2*k**2 - 7/5*k**5 + 9/4*k**4. What is c in p(c) = 0?
-1, 2/7, 1
Let v(d) be the first derivative of 0*d - d**2 - 3/2*d**4 + 3 - 7/3*d**3. Factor v(l).
-l*(2*l + 1)*(3*l + 2)
Let c(j) be the third derivative of j**6/120 - j**5/20 + 2*j**3/3 - 30*j**2. Factor c(m).
(m - 2)**2*(m + 1)
Let p = -5/143 + 454/715. Suppose 5*m = i + 5, 2*m + 2*i - 5 + 15 = 0. Solve -p*j**4 + 2/5*j**2 + m*j + 0 + 1/5*j**3 = 0.
-2/3, 0, 1
Let x = 168 + -325. Let c = x + 1101/7. Factor 0*r - c*r**2 + 2/7*r**4 - 2/7*r**3 + 0 + 2/7*r**5.
2*r**2*(r - 1)*(r + 1)**2/7
Let z(f) be the second derivative of f**7/12600 + f**6/1800 + f**5/600 - f**4/12 + f. Let o(a) be the third derivative of z(a). Factor o(t).
(t + 1)**2/5
Find v, given that -3*v**4 - 3*v**2 - 4*v + 7*v**3 + v**4 - v**2 = 0.
-1/2, 0, 2
Let p(q) be the third derivative of 2*q**7/525 - 2*q**6/75 - 2*q**5/75 + 2*q**4/5 + 6*q**3/5 + 24*q**2. Factor p(o).
4*(o - 3)**2*(o + 1)**2/5
Let n(u) be the first derivative of -u**3/9 + 2*u**2/3 + 1. Solve n(w) = 0.
0, 4
Let o(u) be the third derivative of u**8/168 - u**6/30 + u**4/12 - 6*u**2. What is i in o(i) = 0?
-1, 0, 1
Solve 10*p**5 + 16*p**2 - 16*p**4 - 32/5*p - 18/5*p**3 + 0 = 0 for p.
-1, 0, 4/5, 1
Let n(d) be the second derivative of -3*d + 1/6*d**3 - 1/12*d**4 + d**2 + 0. Find w such that n(w) = 0.
-1, 2
Let p(o) be the second derivative of -o**2 - 1/6*o**3 - o + 5/24*o**4 + 0 - 5/48*o**5. Let v(l) be the first derivative of p(l). Solve v(j) = 0.
2/5
What is c in 20*c**2 - 5 - 3 + c - 21*c + 0*c + 20*c**3 - 12*c**4 = 0?
-1, -1/3, 1, 2
Let t(g) be the second derivative of -g**6/180 - g**5/30 - g**4/24 + g**3/9 + g**2/3 - 30*g. Factor t(l).
-(l - 1)*(l + 1)*(l + 2)**2/6
Let s = 509/2 + -265. Let u = s - -12. Determine t so that 11*t**3 - u*t + 1 - 9*t**4 + 5/2*t**5 - 4*t**2 = 0.
-2/5, 1
Let d(c) be the first derivative of -c**7/420 - c**6/60 + c**4/3 + 4*c**3/3 + 1. Let a(v) be the third derivative of d(v). Factor a(g).
-2*(g - 1)*(g + 2)**2
Let d(h) = -7283*h**3 - 4853*h**2 - 1073*h - 73. Let z(p) = -3642*p**3 - 2427*p**2 - 537*p - 37. Let q(c) = -3*d(c) + 7*z(c). Suppose q(n) = 0. What is n?
-2/9
Let g be ((-1)/2)/(2 - 18/4). Factor 2/5*x + g*x**2 + 0.
x*(x + 2)/5
Let u(x) be the second derivative of -x**7/42 - x**6/15 - x**5/16 - x**4/48 - 15*x. Factor u(m).
-m**2*(m + 1)*(2*m + 1)**2/4
Factor -6/17*l + 10/17*l**2 - 18/17 - 2/17*l**3.
-2*(l - 3)**2*(l + 1)/17
Suppose 0*z = -2*z. Suppose z = -4*q + 11 + 5. Let -2*j**4 - j**4 + 2*j**3 + 2*j**2 + j**q - 2*j**5 = 0. Calculate j.
-1, 0, 1
Let a(c) be the second derivative of 0 - 3*c + 3/20*c**5 + 0*c**2 - 1/14*c**7 + 0*c**3 - 1/4*c**4 + 1/10*c**6. Factor a(b).
-3*b**2*(b - 1)**2*(b + 1)
Let n(h) be the third derivative of h**6/210 - h**5/35 - h**4/42 + 2*h**3/7 - 36*h**2. Let n(l) = 0. Calculate l.
-1, 1, 3
Factor -9/5*c + 9/5*c**2 - 3/5*c**3 + 3/5.
-3*(c - 1)**3/5
Suppose 4*n - 4 = r - 3, -n + 1 = 0. Factor -10/9*u**2 + 8/9*u + 4/9*u**r - 2/9.
2*(u - 1)**2*(2*u - 1)/9
Let 2/3*o**2 + 0*o - 2/3 = 0. What is o?
-1, 1
Let r = -20 + 24. Let m(d) be the second derivative of -1/10*d**5 + 0*d**2 + 0*d**3 + 0 - 1/6*d**r + 2*d. Factor m(t).
-2*t**2*(t + 1)
Suppose -8*y + 3 = -21. Factor 0 - 3/7*u**y + 0*u**2 + 3/7*u.
-3*u*(u - 1)*(u + 1)/7
Let q(k) = k**3 + k**2 - k + 3. Let f be q(0). Solve -2*v**f - v**3 - 2*v**2 - v + 2*v**3 = 0.
-1, 0
Let j(s) = 7*s**5 + 7*s**4 + 4*s**3 - 8*s**2 + s + 7. Let l(y) = y**5 + y**4 + y**3 - y**2 + 1. Let a(c) = -5*j(c) + 30*l(c). Factor a(o).
-5*(o - 1)**2*(o + 1)**3
Let m be (5 + 48/(-10))/((-16)/(-60)). Solve 0 + 3/2*d + m*d**2 - 9/4*d**3 = 0 for d.
-2/3, 0, 1
Determine i so that -15/2*i + 75/4 + 3/4*i**2 = 0.
5
Let v = -73 - -73. Let o(a) be the second derivative of -3*a + 0 + 1/60*a**5 - 1/18*a**4 + 0*a**2 + 1/45*a**6 + v*a**3 - 1/126*a**7. Let o(g) = 0. What is g?
-1, 0, 1, 2
Let c(v) = v**3 + v**2 + 2. Let k(l) = -2*l**2 + 3*l**2 - 8*l**3 + 5 + 9*l**3. Let b(w) = -5*c(w) + 2*k(w). Solve b(h) = 0.
-1, 0
Let c(r) be the second derivative of 1/84*r**7 - 1/20*r**5 + 4*r + 1/4*r**2 + 1/12*r**3 + 1/60*r**6 - 1/12*r**4 + 0. Factor c(k).
(k - 1)**2*(k + 1)**3/2
Let r(h) be the second derivative of h**6/105 - h**4/7 + 8*h**3/21 - 3*h**2/7 + 7*h. Factor r(q).
2*(q - 1)**3*(q + 3)/7
Let t = 23 - 19. Find k such that 2/3*k**3 + 0 - 1/3*k**t - 1/3*k**2 + 0*k = 0.
0, 1
Let n(l) = 2*l**2 - 5*l + 5. Let s(d) = d**2 - 2*d + 2. Let m(a) = -6*n(a) + 15*s(a). Factor m(v).
3*v**2
Let o be 9*(-2 - 60/(-27)). Factor -o*u**2 - 15*u + 11*u + 2*u.
-2*u*(u + 1)
Let n(o) be the third derivative of o**8/2016 + o**7/1260 - o**6/360 - o**5/180 + o**4/144 + o**3/36 - 7*o**2. Solve n(c) = 0 for c.
-1, 1
Let p(g) = -g - 3. Let q = -7 + 4. Let o be p(q). Find b such that -2/5 + o*b + 2/5*b**2 = 0.
-1, 1
Solve 15 + 2*s**2 - 135*s + 162*s - 3*s**3 + 7*s**2 = 0 for s.
-1, 5
What is p in 4*p**3 + 0*p**3 - 8 - 17*p**2 + 17*p**2 - 12*p = 0?
-1, 2
Let w(x) = -x - 7. Let g be w(-10). What is k in -10/3*k**g + 0*k + 62/9