- (-4)/2. Factor 0*n**i - 1 + 1 + 2*n - 2*n**2.
-2*n*(n - 1)
Suppose -4*n = 3*h, -3 = -h - 2*n - 5. Let b be (-6)/h*(-4)/15. Suppose -b*d**4 + 1/5*d**3 + 0*d + 0 + 0*d**2 = 0. What is d?
0, 1/2
What is u in 0 + 0*u + 3/2*u**3 - 6*u**2 = 0?
0, 4
Suppose -6*w + 5*w = 0. Let p be (w + -1)/(21/(-6)). What is c in p*c**2 + 0 + 0*c + 2/7*c**5 - 2/7*c**3 - 2/7*c**4 = 0?
-1, 0, 1
Let l(b) be the first derivative of -b**4/24 + b**3/18 + 5*b**2/12 + b/2 + 30. Factor l(k).
-(k - 3)*(k + 1)**2/6
Solve 0 + 0*k**4 + 3*k + 3/4*k**5 - 15/4*k**3 + 0*k**2 = 0 for k.
-2, -1, 0, 1, 2
Suppose -2*q = -13*q + 22. Let l = -28 - -198/7. Solve 0*n**q + 0 + 2/7*n**3 - l*n = 0.
-1, 0, 1
Let n(r) = 3*r**2 - 15*r - 8. Let p(f) = f**2 - 4*f - 2. Let g(k) = -6*n(k) + 26*p(k). Solve g(q) = 0 for q.
-1/4, 2
Suppose 20 = -4*w + 8*w. Let l(s) be the third derivative of -1/240*s**6 - s**2 + 0*s**4 - 1/105*s**7 + 0*s**3 + 0*s + 0 + 0*s**w. Factor l(r).
-r**3*(4*r + 1)/2
Let k(c) be the third derivative of 0*c - 3*c**2 + 0 + 0*c**4 + 0*c**5 + 0*c**3 + 1/420*c**6 + 1/735*c**7. Factor k(a).
2*a**3*(a + 1)/7
Let y(b) = b**4 + 3*b**2 + 2*b. Let i(r) = -2*r**4 + r**3 - 6*r**2 - 3*r. Let a(f) = 3*i(f) + 5*y(f). What is k in a(k) = 0?
0, 1
Let v be 5/(-25) - 11/(-5). Factor -v*j**2 + 18*j**3 - 6*j**5 + 26*j**4 + 13*j**5 + 3*j**5 - 4*j.
2*j*(j + 1)**3*(5*j - 2)
Suppose t - 4 = 2*t + g, 4*t + 5*g = -21. Let o(w) be the first derivative of -4/5*w + 9/5*w**2 - 8/15*w**3 + t. Factor o(l).
-2*(l - 2)*(4*l - 1)/5
Let n(w) be the first derivative of -w**6/30 - w**5/10 - w**4/12 - 5*w + 6. Let i(a) be the first derivative of n(a). Factor i(z).
-z**2*(z + 1)**2
Let n = 15 + 235. Let p = n - 742/3. Determine v so that -1/3*v**3 + 2*v**2 + p - 4*v = 0.
2
Let w = 30 - 88/3. Factor -2/3 + 2/3*t**2 + w*t**3 - 2/3*t.
2*(t - 1)*(t + 1)**2/3
Let v(w) = -w**5 + w**4 - w**3 + w**2 - w. Let q = -2 + 0. Let o(d) = -2*d**5 + d**4 + d**3 + d**2 - 2*d. Let f(r) = q*o(r) + 2*v(r). Let f(c) = 0. Calculate c.
-1, 0, 1
Let s be 4/((-8)/(-6)) + 12. Suppose 3*n + s = f + n, n - 5 = -2*f. Factor -2 + 3*y**2 + y + 3*y - f*y**2.
-2*(y - 1)**2
Let m = -108 + 108. Let m + 0*i**2 - 3/5*i + 3/5*i**3 = 0. What is i?
-1, 0, 1
Suppose -2*x - 240 = -8*x. Let l be x/(-12)*(-2)/30. Factor 2/9*h**4 + 2/9*h**3 - 2/9*h**2 + 0 - l*h.
2*h*(h - 1)*(h + 1)**2/9
Let d(s) be the third derivative of s**5/210 - s**4/84 + 11*s**2. Factor d(p).
2*p*(p - 1)/7
Factor 20*h**2 + 0 - 204*h**4 + 0 + 589*h**4 - 605*h**5 + 200*h**3.
-5*h**2*(h - 1)*(11*h + 2)**2
Let i(n) be the third derivative of n**9/40320 - n**7/1120 + n**6/240 - n**5/20 - 2*n**2. Let k(j) be the third derivative of i(j). Let k(f) = 0. What is f?
-2, 1
Let a(t) = 25*t**4 - 95*t**3 - 95*t**2 + 25*t. Let r(o) = 2*o**4 - 8*o**3 - 8*o**2 + 2*o. Let m(l) = -3*a(l) + 35*r(l). Factor m(i).
-5*i*(i - 1)**2*(i + 1)
Let y = 2 - 2. Let p(t) be the third derivative of 0*t**3 + 1/735*t**7 + y + 0*t + 0*t**5 + 2*t**2 - 1/420*t**6 + 0*t**4. Factor p(u).
2*u**3*(u - 1)/7
Let p be (-3)/6 + (0 - (-75)/78). Factor -2/13*q**3 + 0 - 4/13*q + p*q**2.
-2*q*(q - 2)*(q - 1)/13
Let n(u) be the second derivative of -3*u**2 + 3*u + 0 - 1/8*u**4 + u**3. Determine v, given that n(v) = 0.
2
Let d(u) be the third derivative of -u**5/60 - u**4/12 - u**3/6 - u**2. Factor d(q).
-(q + 1)**2
Let h(k) = -2*k**3 + 3. Let i(u) = -3*u**3 + 7. Let j(f) = -7*h(f) + 3*i(f). Let j(l) = 0. Calculate l.
0
Let z(f) be the first derivative of -f**4 - 16*f**3 - 96*f**2 - 256*f - 4. Find v, given that z(v) = 0.
-4
Let y = 87 + -87. Suppose 5/3*z**2 + 1/3*z**4 - 4/3*z**3 - 2/3*z + y = 0. What is z?
0, 1, 2
Let m(f) be the second derivative of -5*f + 0*f**3 - 1/10*f**5 + 0*f**2 - 1/9*f**4 - 1/45*f**6 + 0. Solve m(l) = 0.
-2, -1, 0
Let o = -7 - -9. Factor 1 - 3*k + 15*k**3 - 5*k + 18*k**4 + k - 7*k**o + 4*k.
(k + 1)*(2*k + 1)*(3*k - 1)**2
Let u(h) be the second derivative of h**4/4 - h**3/2 - 3*h**2 - 2*h. Factor u(i).
3*(i - 2)*(i + 1)
Let m = 157 - 153. Factor 0*x - 1/2*x**3 + 0 + 1/4*x**m + 1/4*x**2.
x**2*(x - 1)**2/4
Let w(t) = -t**2 - t. Let v(z) = 6. Let q(p) = -v(p) - 4*w(p). Let f(u) = -3*u**2 - 4*u + 5. Let m(c) = 6*f(c) + 5*q(c). Suppose m(n) = 0. Calculate n.
0, 2
Let d(p) be the second derivative of p**8/336 - p**7/105 + p**6/120 - p**2 + 3*p. Let a(i) be the first derivative of d(i). Solve a(x) = 0.
0, 1
Let t(g) be the third derivative of -1/2*g**4 + 8/3*g**3 + 0 - 6*g**2 + 0*g - 1/15*g**5. Factor t(d).
-4*(d - 1)*(d + 4)
Let p(u) be the third derivative of u**5/20 + u**4/4 - 3*u**3/2 - 4*u**2. Suppose p(z) = 0. Calculate z.
-3, 1
Let k(x) be the first derivative of x**6/14 - 6*x**5/35 - 3*x**4/28 + 2*x**3/7 - 5. Determine p so that k(p) = 0.
-1, 0, 1, 2
Let x(j) be the second derivative of -j**4/8 - j**3/2 - 3*j**2/4 - 9*j. Determine w so that x(w) = 0.
-1
Let d(o) be the first derivative of 2*o**5/23 + o**4/23 - 10*o**3/69 - 2*o**2/23 - 41. Suppose d(k) = 0. What is k?
-1, -2/5, 0, 1
Let y(k) be the first derivative of -75/4*k**4 - 1/2*k**6 - 42*k**2 - 24*k - 24/5*k**5 - 38*k**3 - 5. Factor y(i).
-3*(i + 1)**2*(i + 2)**3
Let d(g) be the first derivative of -6/35*g**5 - 1/14*g**4 - 8 + 2/7*g**3 + 2/7*g**2 - 1/21*g**6 + 0*g. Solve d(j) = 0.
-2, -1, 0, 1
Suppose z = -14 + 31. Let f = -10 + z. Factor -2*a**3 - 4 + 0*a**4 + 2*a**4 + 3*a + f*a - 6*a**2.
2*(a - 1)**3*(a + 2)
Let y(n) be the second derivative of 3/20*n**5 + 0 + 1/2*n**4 + 0*n**3 + 0*n**2 - 3*n. Determine p, given that y(p) = 0.
-2, 0
Let x(o) be the first derivative of 0*o + o**3 + 9/4*o**4 + 5 - 12/5*o**5 + 0*o**2. Find s such that x(s) = 0.
-1/4, 0, 1
Let i be (-30)/(-4)*12/45. Let -1 + 1/4*y**i - 3/4*y = 0. Calculate y.
-1, 4
Let c(q) be the second derivative of q**6/20 - 61*q**5/120 + 29*q**4/36 + 40*q**3/9 + 8*q**2/3 + 7*q. What is u in c(u) = 0?
-1, -2/9, 4
Let p(b) be the third derivative of 0*b**3 - 3*b**2 - 1/72*b**6 + 0 + 0*b - 1/45*b**5 - 1/72*b**4 - 1/315*b**7. Factor p(s).
-s*(s + 1)**2*(2*s + 1)/3
Suppose -5*r = -11 - 9. Factor -2*p**r - 1 - 1 + 7*p**2 - 3*p**2.
-2*(p - 1)**2*(p + 1)**2
Solve 1/6*o**2 + 1/6 - 1/3*o = 0 for o.
1
Let u(v) be the first derivative of 3*v**5/5 - 3*v**4/2 + 2. Factor u(a).
3*a**3*(a - 2)
Let z(x) = -x**3 - x**2 + x - 12. Let u be z(-3). Suppose u*n**2 - 2*n**3 + 1/2 - 2*n + 1/2*n**4 = 0. Calculate n.
1
Let x(f) be the second derivative of 3*f**7/70 + f**6/50 - 87*f**5/100 + 51*f**4/20 - 17*f**3/5 + 12*f**2/5 - 17*f. Determine o, given that x(o) = 0.
-4, 2/3, 1
Let o(m) be the first derivative of m + 1/80*m**5 + 2 + 0*m**2 + 1/24*m**3 + 1/24*m**4. Let h(v) be the first derivative of o(v). Factor h(i).
i*(i + 1)**2/4
Let -2*g**3 - 4*g**2 + 7*g**5 - 5*g**5 + 27*g**4 - 23*g**4 = 0. What is g?
-2, -1, 0, 1
Let r(t) be the second derivative of -t**5/120 - t**4/72 + t**3/18 + 16*t. Suppose r(u) = 0. Calculate u.
-2, 0, 1
Find y such that -3*y**5 - 5*y**5 + 9*y**5 + 4*y**4 + 0*y**5 + 3*y**3 = 0.
-3, -1, 0
Let w(n) be the first derivative of 1/15*n**4 + 2/3*n**3 + 0*n**5 + 0*n**2 + 0*n + 1 - 1/36*n**6. Let u(k) be the third derivative of w(k). Factor u(i).
-2*(5*i - 2)*(5*i + 2)/5
Find t such that 0 - 7/11*t**3 - 12/11*t**2 + 4/11*t = 0.
-2, 0, 2/7
Let 15*u - 3*u + u + 16*u**2 + 7*u + 8 + 4*u**3 = 0. Calculate u.
-2, -1
Let d = 6 - 6. Suppose d = 2*b + b. Suppose -1/5*c + b + 4/5*c**3 - 3/5*c**2 = 0. What is c?
-1/4, 0, 1
Solve -8/5*d + 6/5 + 2/5*d**2 = 0.
1, 3
Suppose 3*n - r = 59, -3*n - 5*r = 6 - 35. Let f be 1 + 4 + (-9 - -6). Suppose 30*i**2 + n*i**3 - 5*i + 10*i + 9*i + f = 0. Calculate i.
-1, -1/3
Suppose p - 4*p + 15 = 0. Suppose 9 = p*r - 6. Factor -2*v + v + v - r*v**2.
-3*v**2
Let v be 4/(-14)*7/95. Let l = v + 196/285. Suppose s**2 + l - 5/3*s = 0. Calculate s.
2/3, 1
Suppose 6*a = 9*a + 12. Let r(t) = -9*t**4 + 3*t**3 + 4*t + 9. Let i(l) = 5*l**4 - 2*l**3 - 2*l - 5. Let n(y) = a*r(y) - 7*i(y). Factor n(v).
(v - 1)*(v + 1)**3
Let s(c) = -118*c**2 + 23*c + 41. Let b(h) = -39*h**2 + 8*h + 14. Let u(w) = -17*b(w) + 6*s(w). What is o in u(o) = 0?
-2/5, 4/9
Suppose 0*q = 3*q - 9. Find r such that 0 - 1/3*r**2 - 2/3*r**4 + r**q + 0*r = 0.
0, 1/2, 1
Let q be (-4)/14 + (-46)/(-14). Find z such that 3*z + 4*z**3 + 4 - q*z - 4*z - 4*z**2 + 0*z = 0.
-1, 1
Factor -3 + 3/2*l**2 - 3/2*l.
3*(l - 2)*(l + 1)/2
Let q(a) be the se