 + 2*p**2/5 - 7. Factor o(c).
c*(c - 2)**2*(c - 1)**2/5
Let x(t) be the third derivative of -t**5/270 - 11*t**2. Suppose x(n) = 0. Calculate n.
0
Let m be (-45)/54*(-2)/5. Let h(n) be the third derivative of 2*n**2 + 0 + m*n**3 - 1/20*n**6 + 0*n + 1/4*n**4 - 1/30*n**5. Factor h(r).
-2*(r - 1)*(r + 1)*(3*r + 1)
Let i(x) = 3*x**3 + 5*x**2 - 5*x - 7. Let k(n) = -n**2 + 1. Let a = -11 - -29. Let o(v) = a*k(v) + 2*i(v). Factor o(h).
2*(h - 2)*(h + 1)*(3*h - 1)
Find j, given that -5/3*j**3 - 20/3*j**2 + 0 - 20/3*j = 0.
-2, 0
Let l = 12 + -4. Suppose -12*z**2 + 18*z**2 + 24*z + l + 12*z**3 + 2*z**4 + 20*z**2 = 0. Calculate z.
-2, -1
Let b(h) be the third derivative of -3*h**8/224 - h**7/210 + 3*h**6/40 + h**5/30 - 3*h**4/16 - h**3/6 + 30*h**2. Suppose b(u) = 0. What is u?
-1, -2/9, 1
Let q(v) = v**2 + 17*v + 60. Let j be q(-5). Factor 0*z**3 - 2/13*z**4 + 0 + 0*z**2 + j*z.
-2*z**4/13
Let n be 18/30 - (-17)/5. Factor 12*j - 9*j**2 + n*j**3 - 6*j**2 - j**2 + 8*j - 8.
4*(j - 2)*(j - 1)**2
Let z(w) be the second derivative of -w**5/5 + w**4/4 + w**3/6 + 13*w. Factor z(p).
-p*(p - 1)*(4*p + 1)
Let -g**2 + 5*g**3 - 15 - 20*g**2 - 3*g**2 + 35*g - g**2 = 0. What is g?
1, 3
Let g(v) be the third derivative of -1/1176*v**8 + 0 + 0*v**3 + 1/105*v**5 + 0*v - 2/735*v**7 + 0*v**6 + 3*v**2 + 1/84*v**4. Determine l, given that g(l) = 0.
-1, 0, 1
Factor -4 - 5*x**3 + 6*x**4 - 4*x**3 - x**3 + 10*x - x**2 - x**2.
2*(x - 1)**2*(x + 1)*(3*x - 2)
Suppose -1/2*p**3 + 1/2 + 3/2*p**2 - 3/2*p = 0. Calculate p.
1
Let c(z) = -z**2 + 8*z - 5. Let h be c(7). Let w be h/(-4) - 40/(-48). Solve 2/3*j**3 - 1/3*j**4 - w - 1/3*j**5 - 1/3*j + 2/3*j**2 = 0 for j.
-1, 1
Suppose -2/3*f**3 + 0 + 4*f**2 - 6*f = 0. Calculate f.
0, 3
Let 0 + 2/3*v**2 + 0*v + 2/3*v**4 + 4/3*v**3 = 0. Calculate v.
-1, 0
Factor -48 + 23*o + 13*o - 12*o - 3*o**2.
-3*(o - 4)**2
Suppose m + t = 0, 2*m - t = 4*t - 28. Let o be (-3 + -1)/(m/6). Find b such that 4 - 8*b + o*b**2 + 1/4*b**4 - 2*b**3 = 0.
2
Let w be ((-6)/(-15))/(1/10). Let k(g) be the third derivative of 0*g**3 + 1/60*g**5 + 0*g + 2*g**2 - 1/24*g**w + 0. Let k(q) = 0. Calculate q.
0, 1
Let b be 3 + 0 + 2 + -4. Let v be 4*(-1 - b*-2). Let j**v + 3*j**2 + j**4 - 4*j**3 - j**2 = 0. Calculate j.
0, 1
Let d be 1*(-2 + 4)*1. Let o(i) be the third derivative of 0*i**4 - 1/150*i**5 + 0 + 0*i**3 - i**d + 0*i. Factor o(l).
-2*l**2/5
Let b(c) = -6*c**4 - 6*c**3 + c**2 + c - 5. Let o(u) = -u**4 - u**3 - 1. Let j(a) = -4*b(a) + 20*o(a). Factor j(g).
4*g*(g - 1)*(g + 1)**2
Let x(u) be the second derivative of 0*u**5 + 0 + 0*u**4 + 0*u**3 + 1/63*u**7 - 1/45*u**6 + 0*u**2 + 3*u. Factor x(d).
2*d**4*(d - 1)/3
Let r = -3 + 0. Let w(z) = -2*z**3 + 2*z**2. Let l(v) = v**3 - v**2. Let y(a) = r*l(a) - w(a). Factor y(k).
-k**2*(k - 1)
Let i(l) = -l**2 + 6*l - 1. Let a be i(5). Let v(j) be the second derivative of 1/60*j**6 - 1/3*j**3 + 1/4*j**2 + 2*j + 0 + 1/4*j**a - 1/10*j**5. Factor v(x).
(x - 1)**4/2
Let b(q) = -q**2 - 2*q. Let t(n) = 444*n**2 - 252*n + 32. Let m(p) = -12*b(p) + 2*t(p). Factor m(f).
4*(15*f - 4)**2
Let i(c) be the third derivative of c**5/140 + c**4/56 - c**3/7 + 62*c**2. Factor i(b).
3*(b - 1)*(b + 2)/7
Let y be -5 - -4 - 2*-2. Solve n**3 + 4*n**3 - 4*n**y = 0.
0
Suppose 2*h**2 + 0*h**2 - 6*h**2 - 2 - 2*h - 4*h = 0. Calculate h.
-1, -1/2
Let 5*q - q**2 + 3*q + 0*q = 0. Calculate q.
0, 8
Find p such that 4*p**2 - 2*p**2 - 3*p**2 + 3*p**2 = 0.
0
Suppose 7*o - 26 = -5. Let c(x) be the first derivative of -2*x**o + 16/15*x**5 - 2/3*x**2 + 2/3*x - 2 + 1/3*x**4. Let c(w) = 0. Calculate w.
-1, -1/2, 1/4, 1
Suppose -3*i + 1 = -5*y + 15, 2*y - i - 6 = 0. Suppose f - y = -3*c, 0 = 4*c - 2*f + 7*f + 2. What is z in 2 + 2*z - 2*z**3 - 2*z**2 - 2 + c = 0?
-1, 1
Let o(p) be the second derivative of 27*p**5/10 + 9*p**4/2 + 3*p**3 + p**2 + 3*p. Factor o(r).
2*(3*r + 1)**3
Factor -11*u**3 + 0*u**4 + 3*u**4 + 2*u**3 + 4*u**2 + 8*u - u**3.
u*(u - 2)**2*(3*u + 2)
Let l(d) be the second derivative of 0 - 1/24*d**4 + 0*d**2 - 9*d + 0*d**3. Suppose l(c) = 0. Calculate c.
0
Let i = 4 + -1. Factor -6*x - i*x**3 + 3*x + 2*x**4 - 3*x**2 + 6*x**3 + x**4.
3*x*(x - 1)*(x + 1)**2
Let r = -8/9 + 110/63. Suppose r*p**3 + 0 - 4/7*p - 2/7*p**2 = 0. What is p?
-2/3, 0, 1
Let u be (-3)/(6/(-7))*(-1)/(-7). Let f(o) be the first derivative of -3 + 0*o**2 + u*o**4 - 2/3*o**3 + 0*o. Factor f(k).
2*k**2*(k - 1)
Suppose -3*c + 0*c = -4*c. Find x such that 6*x + c - 6*x**2 + 3/2*x**3 = 0.
0, 2
Let c(r) be the first derivative of -4*r**3/3 + 2*r**2 + 8*r + 13. Find u, given that c(u) = 0.
-1, 2
Let d(a) = -a**3 + 6*a**2 - 7*a + 7. Let h(o) = -3*o**2 + 3*o - 3. Let b(c) = -3*d(c) - 7*h(c). What is g in b(g) = 0?
-1, 0
Suppose -3*c - j = 6, c + 3*j + 14 = -4*c. Let w(m) = -m + 1. Let v be w(c). Factor 4*k**3 - 2*k**3 + v*k**2 - 6*k**3 + k - 2 + 3*k**3.
-(k - 2)*(k - 1)*(k + 1)
Find u, given that 4*u**2 - 1 - 3*u**4 + 2*u**4 - 2*u**2 = 0.
-1, 1
Let a(f) be the second derivative of -f**7/63 - 7*f**6/45 - 3*f**5/5 - 11*f**4/9 - 13*f**3/9 - f**2 + 13*f. Factor a(t).
-2*(t + 1)**4*(t + 3)/3
Let s be 24/2*(-72)/(-378). Solve 8/7 + 10/7*d**2 - 2/7*d**3 - s*d = 0.
1, 2
What is h in 3/5*h**4 + 0 + 0*h + 3/5*h**3 - 36/5*h**2 = 0?
-4, 0, 3
Determine o so that 1/3*o**5 + 0*o**2 - 2/3*o**4 + 0 + 1/3*o**3 + 0*o = 0.
0, 1
Suppose -324*s = -332*s + 16. Factor -10/3*h**2 - 14/3*h**3 - s*h**4 + 0 - 2/3*h.
-2*h*(h + 1)**2*(3*h + 1)/3
Factor z - 4*z**2 + 3*z**2 + 2*z**2.
z*(z + 1)
Let z(k) be the second derivative of 1/6*k**3 + 1/12*k**4 + 0*k**2 + 0 - 3*k. Find y, given that z(y) = 0.
-1, 0
Let y(a) be the third derivative of a**7/126 + a**6/72 - a**5/6 - 5*a**4/18 + 20*a**3/9 - 2*a**2. What is h in y(h) = 0?
-2, 1, 2
Let w be (0/3)/(2/2). Let b(x) = 2*x - 6. Let g be b(4). Let -2/9*j**g - 4/9*j**3 + 0*j - 2/9*j**4 + w = 0. Calculate j.
-1, 0
Let w be (20 - 5)*1/3. Solve 0 + 2*q**3 + 1/3*q**w + 1/3*q + 4/3*q**4 + 4/3*q**2 = 0 for q.
-1, 0
Let q be (-2 + 4)*12/8. Factor i**2 - 20*i + 3*i**2 + 15*i - 2 + 4 - i**q.
-(i - 2)*(i - 1)**2
Suppose -36*t = -44*t + 16. Find n such that 0 - 2/7*n**t + 0*n - 2/7*n**3 = 0.
-1, 0
Let g(i) = -i**2 - i. Let d(k) = -17*k**2 - 17*k. Let l(t) = -d(t) - 3*g(t). Let p(o) = 3*o**2 + 3*o. Let u(a) = 5*l(a) - 32*p(a). Find c, given that u(c) = 0.
-1, 0
Let t = -3148/5 + 630. Factor -t*o**3 + 0 + 2/5*o**4 + 0*o + 2/5*o**5 - 2/5*o**2.
2*o**2*(o - 1)*(o + 1)**2/5
Suppose -d - 3*d = 0. Let o(a) be the first derivative of 0*a**2 + 0*a - 1/12*a**6 - 1/8*a**4 + d*a**3 - 1 - 1/5*a**5. Determine g, given that o(g) = 0.
-1, 0
Let v(c) be the first derivative of -26*c**5/95 - 11*c**4/38 + 4*c**3/57 + 45. Determine l, given that v(l) = 0.
-1, 0, 2/13
Let q(i) = i**2 - i. Let d(f) = 10*f**2 - 2*f - 3. Let w(s) = -11*s**2 + s + 4. Let u(h) = -4*d(h) - 3*w(h). Let k(j) = 5*q(j) + u(j). Factor k(m).
-2*m**2
Factor -1/5*l**3 + 0*l + 0 - 1/5*l**4 + 0*l**2.
-l**3*(l + 1)/5
Let x(g) = -g**2 + 2. Let h be x(0). Suppose -4/7 + 2/7*l**3 - 2/7*l + 4/7*l**h = 0. What is l?
-2, -1, 1
Let c(i) = 25*i**3 + 65*i**2 + 60*i + 8. Let o(p) = -201*p**3 - 519*p**2 - 480*p - 63. Let x(m) = -33*c(m) - 4*o(m). Find y, given that x(y) = 0.
-2, -1, -2/7
Let m(l) be the first derivative of 10 + 0*l**2 - 2/9*l**3 + 0*l**4 + 2/15*l**5 + 0*l. Factor m(q).
2*q**2*(q - 1)*(q + 1)/3
Let h(j) be the first derivative of j - 5/6*j**3 + 1/2*j**5 + 1/14*j**7 + 4 + 0*j**4 - j**2 + 1/3*j**6. Let r(q) be the first derivative of h(q). Factor r(f).
(f + 1)**4*(3*f - 2)
Suppose 0 = -q + 5*b + 9, 2*q = -3*b - 0 + 5. Suppose 10 = -k + 3*n, 5*k - 35 = -q*n + 2*n. Solve -k + o**3 + 5 = 0.
0
Let w(o) be the third derivative of 0 + 1/210*o**5 + 1/7*o**3 - 8*o**2 + 1/21*o**4 + 0*o. Solve w(v) = 0.
-3, -1
Suppose w + 2*w = -48. Let a be (-2)/1 - w/6. Suppose 2/3*i**3 + a*i**2 + 0*i + 0 = 0. What is i?
-1, 0
Let o(n) be the first derivative of -n**6/6 - 8*n**5/25 - n**4/20 + 2*n**3/15 + 2. Determine t so that o(t) = 0.
-1, 0, 2/5
Let r(j) be the third derivative of 0 - 1/6*j**3 - 1/240*j**5 + 1/24*j**4 + 0*j - 4*j**2. Factor r(y).
-(y - 2)**2/4
Let r(l) be the first derivative of -l**6/720 - l**5/120 - l**4/48 - l**3 - 1. Let v(f) be the third derivative of r(f). What is i in v(i) = 0?
-1
Let a(q) be the third derivative of q**5/20 - q**4/8 + 3*q**2. Sol