v - 3)**2/4
Let h(k) = -3*k**3 - 14*k**2 + k + 4. Let v be 39/9 + 4/6. Let f(m) = -1 + 27*m**2 + 5*m**3 - 6 - 8*m + v*m. Let g(j) = -6*f(j) - 11*h(j). Factor g(c).
(c - 1)**2*(3*c - 2)
Let x(t) = -22*t**5 - 16*t**4 + 28*t**3 - 16*t**2 - 6*t + 16. Let g(c) = -7*c**5 - 5*c**4 + 9*c**3 - 5*c**2 - 2*c + 5. Let z(s) = 16*g(s) - 5*x(s). Factor z(l).
-2*l*(l - 1)**2*(l + 1)**2
Let w = 9 + -7. Find c such that -c**4 - 3*c**3 + 2 + 3*c + 2*c**2 + 0*c**4 - 3*c**w = 0.
-2, -1, 1
Let l be (-4)/(-3) - 0/(-26). Let v(f) be the second derivative of 0 - 1/18*f**4 + 4/9*f**3 - 4*f - l*f**2. Let v(d) = 0. Calculate d.
2
Let f(c) = 17*c**4 + 63*c**3 + 167*c**2 + 113*c + 7. Let a(n) = -8*n**4 - 32*n**3 - 83*n**2 - 57*n - 3. Let q(d) = -7*a(d) - 3*f(d). Factor q(m).
5*m*(m + 2)**2*(m + 3)
Let w(p) be the third derivative of -p**7/420 + p**5/60 - p**3/6 - 3*p**2. Let q(l) be the first derivative of w(l). Suppose q(j) = 0. Calculate j.
-1, 0, 1
Let i be (-5)/(-3)*(-2)/(-10). Let r = 29/2 + -83/6. Factor i*l**2 + r + l.
(l + 1)*(l + 2)/3
Let f(c) = -2*c**2 + 9*c + 3. Let s(m) = -m**2 + 5*m + 2. Let v(h) = 3*f(h) - 5*s(h). Solve v(g) = 0 for g.
1
Let q = 6 - 3. Let f = -1 - -3. Solve -2*d**4 + d**4 + q*d**5 - f*d**5 = 0.
0, 1
Let -11*u**2 + 5*u**2 + 3*u**2 - 9*u - 6 = 0. What is u?
-2, -1
Let y(j) be the first derivative of j**7/280 + j**6/180 - 7*j**5/120 + j**4/12 - j**3 - 10. Let o(k) be the third derivative of y(k). Factor o(b).
(b - 1)*(b + 2)*(3*b - 1)
Let m(t) = t**2 - 42*t + 248. Let a be m(7). Determine d, given that -4/5*d + 4/5*d**2 + 0 + 4/5*d**a - 4/5*d**4 = 0.
-1, 0, 1
Let a be (-2)/(-9) - ((-32)/180)/1. Solve -4/5*g**2 + a + 3/5*g**3 - 1/5*g = 0 for g.
-2/3, 1
Let k be (-126)/12*(-4)/6. Suppose -2*v = -k*v. Factor v + 2/3*a**3 - 4/3*a**2 + 2/3*a.
2*a*(a - 1)**2/3
Let l = 4 + 0. Suppose -7 = 2*r + 2*r - 5*u, 4*u = -l*r + 20. Let 10*j + j**r - 4*j - 4 + 4*j**2 + 2*j = 0. What is j?
-2, 2/5
Let t(l) be the first derivative of -2*l**5/5 - 5*l**4/2 - 6*l**3 - 7*l**2 - 4*l + 3. Suppose t(h) = 0. Calculate h.
-2, -1
Let u(c) be the second derivative of c**7/21 - 3*c**5/10 - c**4/3 - 14*c - 1. Factor u(x).
2*x**2*(x - 2)*(x + 1)**2
Suppose 4*q = -20, u = -0*u - 3*q - 13. Let m = 12 - 7. Solve -r**u + r**4 - 2*r**m - r**5 + r**3 + 2*r**3 = 0.
-1, 0, 1/3, 1
Let i(q) = q - 13. Let c be i(12). Let h(l) = l**3 - l**2 - l + 1. Let s(u) = u**4 + u**3 + 2*u**2 + u - 1. Let f(v) = c*h(v) - s(v). What is g in f(g) = 0?
-1, 0
Let i(b) be the third derivative of -b**7/105 - b**6/30 + b**4/6 + b**3/3 - 9*b**2. Factor i(x).
-2*(x - 1)*(x + 1)**3
Let d(n) be the first derivative of -3*n**4 - 8*n**3/3 + 14*n**2 - 8*n - 7. Factor d(g).
-4*(g - 1)*(g + 2)*(3*g - 1)
Let f(z) be the first derivative of z**6/600 + z**2/2 + 8. Let u(n) be the second derivative of f(n). Suppose u(h) = 0. Calculate h.
0
Let j(b) be the first derivative of b**3/3 - b**2/2 - 2. Factor j(u).
u*(u - 1)
Let w be -3 + (-9 + 3)/(-2). Let f(u) be the second derivative of -1/36*u**4 + 2*u - 1/18*u**3 + w + 1/6*u**2 + 1/60*u**5. Suppose f(n) = 0. Calculate n.
-1, 1
Let b be (-111)/(-84) + (-39)/(-91). Factor 1/2 - b*r**3 + 7/4*r - 1/2*r**2.
-(r - 1)*(r + 1)*(7*r + 2)/4
Suppose -2*g - 1 = 1. Let s(p) = -4*p**3 - p**2 + 4*p + 3. Let k(t) = 0 + 0*t**2 + 2 - 3 - t**2. Let j(z) = g*k(z) - s(z). Determine w so that j(w) = 0.
-1, -1/2, 1
Let w = -2111/26 - -163/2. Factor 4/13*f**2 - w*f**3 + 2/13*f**5 - 2/13 - 2/13*f**4 + 2/13*f.
2*(f - 1)**3*(f + 1)**2/13
Let w(o) be the first derivative of -o**3 + 6*o**2 - 12*o - 67. Factor w(l).
-3*(l - 2)**2
Let o = -797/5 - -160. Determine f, given that -6/5 - 9/5*f - o*f**2 = 0.
-2, -1
Let u(d) be the second derivative of d**7/6300 - d**6/1800 - 5*d**4/12 - 5*d. Let j(r) be the third derivative of u(r). Factor j(h).
2*h*(h - 1)/5
Let a = -1 - -1. Let y be 5 + -2 + 6/3. Factor x - 7*x**4 + 2 + 19*x**3 - y*x**2 - 10*x**2 + a*x**2.
-(x - 1)**3*(7*x + 2)
Let d(v) be the second derivative of 3*v + 0*v**3 + 1/168*v**7 + 0*v**4 - 1/80*v**5 + 0*v**6 + 0*v**2 + 0. Factor d(u).
u**3*(u - 1)*(u + 1)/4
Factor 55 - 2*r**2 - 45*r**3 - 55 - 60*r**4 - 25*r**5 - 8*r**2.
-5*r**2*(r + 1)**2*(5*r + 2)
Let d be ((-6)/15)/(14/(-10)). Let k be 2 + (5 - 4/1). Factor 2/7*f - 4/7*f**2 + d*f**k + 0.
2*f*(f - 1)**2/7
Let q(j) be the third derivative of 5*j**8/1344 + j**7/84 - j**6/48 - j**5/12 + 5*j**4/96 + 5*j**3/12 - 11*j**2. Let q(z) = 0. What is z?
-2, -1, 1
Let f(k) = -36*k**3 + 76*k**2 - 20*k - 9. Let x(g) = 7*g**3 - 15*g**2 + 4*g + 2. Let a(q) = -4*f(q) - 22*x(q). What is n in a(n) = 0?
-2/5, 1, 2
Let z(f) be the first derivative of -8*f**3/3 - 3*f**2 + 2*f + 4. Let z(p) = 0. Calculate p.
-1, 1/4
Factor -6*y - 16 + 19*y + y**2 + 4*y - 2.
(y - 1)*(y + 18)
Let k(v) be the second derivative of 2*v**6/75 + 2*v**5/25 - 4*v**3/15 - 2*v**2/5 - 8*v. Find a such that k(a) = 0.
-1, 1
Let n(d) be the second derivative of -d**7/42 - 2*d**6/15 - 3*d**5/10 - d**4/3 - d**3/6 - 5*d + 1. Factor n(s).
-s*(s + 1)**4
Factor -13/5*p**2 + 6/5*p**3 - 4/5 + 12/5*p - 1/5*p**4.
-(p - 2)**2*(p - 1)**2/5
Factor -3/2*j - 1/2*j**4 + 1 - 1/2*j**2 + 3/2*j**3.
-(j - 2)*(j - 1)**2*(j + 1)/2
Let n(s) = 3*s**2 - 18*s + 12. Let m(d) = 3*d**2 - 17*d + 12. Let z(r) = 6*m(r) - 5*n(r). Solve z(h) = 0.
2
Let q = -58 - -58. Let h(o) be the third derivative of q - 1/60*o**5 - 1/3*o**3 + 0*o + 1/8*o**4 - o**2. Determine w, given that h(w) = 0.
1, 2
Let m(g) be the third derivative of -g**6/60 - g**5/5 - g**4 - 8*g**3/3 + 25*g**2. Factor m(p).
-2*(p + 2)**3
Let j(m) = -m**5 - m**4 - m**3 + m**2 + m + 1. Let z(i) = 6*i**5 + 3*i**4 + 3*i**3 - i**2 - 4*i - 7. Let y(v) = 5*j(v) + z(v). Suppose y(c) = 0. Calculate c.
-1, 1, 2
Let t = -3273/7 - -468. Factor 3/7 - 6/7*g**3 + t*g**4 + 3/7*g**5 - 6/7*g**2 + 3/7*g.
3*(g - 1)**2*(g + 1)**3/7
Suppose 3*b - 2*c - 4 = 3*c, 28 = 4*b - c. Let q(v) = -v**2 + 10*v - 12. Let w be q(b). Determine x so that x**3 + 4/5*x**w - x - 3/5*x**2 - 1/5 = 0.
-1, -1/4, 1
Let z be 0 + 4/1 + 168/(-49). Find g such that 4/7*g**2 + 0 + 0*g + z*g**3 = 0.
-1, 0
Let v(a) = 4*a**2 + 6*a + 8. Let t = 6 + -7. Let r(l) = l**2 - l. Let p(j) = t*v(j) + 2*r(j). Factor p(g).
-2*(g + 2)**2
Let i(y) be the first derivative of -y**4/4 - 2*y**3 - 5*y**2/2 - 2. Let w be i(-5). Determine l so that w - 8/7*l**2 - 2/7*l = 0.
-1/4, 0
Let h(w) be the first derivative of 2*w**3 - 15*w**2/2 + 6*w - 16. Factor h(j).
3*(j - 2)*(2*j - 1)
Suppose 0 = 5*s - 5*z - 20, s + 2*z = -0 + 1. Let k(m) = 2*m + s*m**2 + 0 - 6 + 1. Let b(f) = -f**2 + 1. Let l(v) = -4*b(v) - k(v). Factor l(t).
(t - 1)**2
Let k(i) be the second derivative of -i**5/30 + i**4/2 - 8*i**3/3 + 16*i**2/3 - 8*i. Factor k(z).
-2*(z - 4)**2*(z - 1)/3
Let q = 6 - 4. Let w be 48/(-40) - 2/(-1). Factor 0 + 2/5*k**q - w*k.
2*k*(k - 2)/5
Let r(k) be the first derivative of k**3/3 - k**2 - 5. Let w(v) = v**2 - 4*v. Let h(m) = 5*r(m) - 3*w(m). Factor h(f).
2*f*(f + 1)
Suppose -w = 3*x - 3*w - 67, w + 65 = 3*x. Let p(f) = -f**2 + 3*f - 2. Let b(z) = -4*z**2 + 10*z - 7. Let q(t) = x*p(t) - 6*b(t). Factor q(i).
3*i*(i + 1)
Let n = -115 + 117. Suppose 4/11*t + 2/11*t**n + 2/11 = 0. Calculate t.
-1
Suppose 0 = 5*j - p + 3, 5*j + 6 = p + p. Suppose -4*n = 2*y + 6, -3*y - 3*n = -0*y. Determine c so that -2 + y*c + j*c - c**3 + 0*c = 0.
-2, 1
Let d(i) be the second derivative of 2*i + 0*i**2 + 1/6*i**4 - 9/20*i**5 + 0 + 7/30*i**6 + 0*i**3. Suppose d(q) = 0. What is q?
0, 2/7, 1
Let f = 143784/45745 - 2/6535. Let y = -59/21 + f. Suppose -y*h + 0 + h**2 = 0. Calculate h.
0, 1/3
Factor -1 - 4*l**2 + l**4 + 5*l**2 - 2*l**3 + 2*l - l**2.
(l - 1)**3*(l + 1)
Suppose 0 - 213/8*o**3 - 9/4*o**4 + 267/8*o**2 - 39/4*o = 0. What is o?
-13, 0, 1/2, 2/3
Let m(s) be the third derivative of -s**6/165 + s**5/110 + 5*s**2. What is k in m(k) = 0?
0, 3/4
Let s(q) be the first derivative of -3/2*q**6 - 2/3*q**3 + 5/4*q**4 + 6/5*q**5 + 0*q**2 + 0*q + 3. Suppose s(c) = 0. Calculate c.
-2/3, 0, 1/3, 1
Solve 10/3*k**3 - 2/3*k**4 + 16/3 + 46/3*k + 14*k**2 = 0 for k.
-1, 8
Let q be 1*(2/(-4) + (-2)/(-4)). Find m, given that -3*m**3 + q - 3/2*m**4 + 0*m + 0*m**2 = 0.
-2, 0
Suppose 8/5*n + 2/5*n**4 - 8/5 + 6/5*n**2 - 8/5*n**3 = 0. What is n?
-1, 1, 2
Let u(i) = 12*i**5 + 43*i**4 + 45*i**3 + 25*i**2 + 7*i. Let b(f) = f**4 + f**2 + f. L