7*d - 2)**2/5
Suppose -2 = -0*z - z. Suppose 0 = -z*t - 12. Let r(i) = 5*i**2 - 6. Let l(o) = -11*o**2 + 13. Let d(g) = t*l(g) - 13*r(g). Determine n, given that d(n) = 0.
0
Let f(k) be the second derivative of -k**8/672 + k**7/105 - k**6/40 + k**5/30 - k**4/48 - k**2/2 + 2*k. Let y(x) be the first derivative of f(x). Factor y(l).
-l*(l - 1)**4/2
Suppose -6 - 81/2*d**5 - 333/2*d**2 - 471/2*d**3 - 54*d - 315/2*d**4 = 0. What is d?
-1, -2/3, -2/9
Let q(r) be the third derivative of -1/120*r**6 + 0 + 0*r**4 - 1/420*r**7 + 0*r**5 + 3*r**2 + 0*r**3 + 1/672*r**8 + 0*r. Factor q(l).
l**3*(l - 2)*(l + 1)/2
Let a = 15 - 10. Let o(d) = d. Let g be o(a). Factor g*t**2 - t - 5*t**2 - t**2 + 1 + t**3.
(t - 1)**2*(t + 1)
Let d(o) be the first derivative of -2*o**3/21 - 8*o**2/7 + 18*o/7 + 13. Determine r so that d(r) = 0.
-9, 1
Let i(h) = -h**3 - 23*h**2 + 22*h - 48. Let b be i(-24). Factor -2/5*j - 1/5*j**3 - 3/5*j**2 + b.
-j*(j + 1)*(j + 2)/5
Let p(t) = -25*t**2 + 17*t - 8. Let c(o) = -o**2. Let d(y) = -2*c(y) + p(y). Let j(i) = 12*i**2 - 8*i + 4. Let m(u) = -4*d(u) - 7*j(u). Solve m(z) = 0 for z.
1/2, 1
Let f(i) = 1 - 7 + 0 - i. Let g be f(-6). Let g*q - 2/9*q**3 + 2/9*q**2 + 0 = 0. What is q?
0, 1
Suppose -5*z**5 - 2096 + 2096 + 90*z - 65*z**3 - 11*z**2 + 35*z**4 - 4*z**2 = 0. What is z?
-1, 0, 2, 3
Suppose -1/8*x**4 - 13/8*x**2 - 3/4*x**3 - 3/2*x - 1/2 = 0. Calculate x.
-2, -1
Factor 5/4*r**2 + 0 - 15/4*r.
5*r*(r - 3)/4
Factor 20/7 + 18/7*w - 2/7*w**2.
-2*(w - 10)*(w + 1)/7
Suppose 15 = -5*q, -2 = -2*k + 2*q - 14. Let m be ((-2)/6)/(2/k). Factor 0 + 3*t - m*t**2.
-3*t*(t - 2)/2
Let w(x) = x + 2. Let b be w(-5). Let q be 2/(-4) + 5 + b. What is v in v + 0 - 7/2*v**3 - 3/2*v**4 + 5/2*v**5 + q*v**2 = 0?
-1, -2/5, 0, 1
Factor 0*y**3 + 0 - 1/3*y**2 + 1/3*y**4 + 0*y.
y**2*(y - 1)*(y + 1)/3
Let g(w) be the first derivative of 4*w**5/5 + 2*w**4 - 28*w**3/3 + 8*w**2 + 45. Factor g(x).
4*x*(x - 1)**2*(x + 4)
Let k(q) be the third derivative of -q**8/168 + q**7/21 - 2*q**6/15 + 2*q**5/15 + 17*q**2. Find g, given that k(g) = 0.
0, 1, 2
Let y(j) be the first derivative of -j**6/360 - j**5/120 + j**3 - 7. Let x(i) be the third derivative of y(i). Let x(l) = 0. What is l?
-1, 0
Let p(u) = -u**4 - 43*u**3 - 35*u**2 + 55*u + 7. Let y(i) = 14*i**3 + 12*i**2 - 18*i - 2. Let m(h) = -6*p(h) - 17*y(h). Suppose m(l) = 0. Calculate l.
-2, -1/3, 1
Suppose -45*n - 3/5*n**3 - 9*n**2 - 75 = 0. What is n?
-5
Let g(o) = -4*o**2 + 4*o + 4. Let j(r) = 17*r**2 - 17*r - 16. Let l(x) = 9*g(x) + 2*j(x). What is d in l(d) = 0?
-1, 2
Let x(h) = 0*h - 8*h + 2*h - h**3 + 8*h**2 - 7. Let p be x(7). Solve 0 + p - b**3 + b**5 = 0.
-1, 0, 1
Let k(b) = 8*b**2 + 10*b - 10. Let n(y) = -3*y**2 - 3*y + 3. Suppose 5*a + 0*a - 70 = 0. Let w(j) = a*n(j) + 5*k(j). Let w(g) = 0. Calculate g.
2
Let f be 7 + (1 - 2 - 0). Factor -f*i**2 - 2*i**3 - 4*i + i - i + 0*i**3.
-2*i*(i + 1)*(i + 2)
Suppose 0 = 5*q - 15, -12 = n - 3*q - 2*q. Factor 4*t**2 - 2*t**2 - 4*t**3 - t**n + 4*t**3.
-t**2*(t - 2)
Let n(f) be the second derivative of -1/9*f**2 - 1/18*f**4 + 0 + f + 1/9*f**3 + 1/90*f**5. Solve n(k) = 0 for k.
1
Let x = -11 - -13. Suppose -x*m = m - 9. Let 1/3*u**5 - 2/3*u**4 + 1/3*u**m + 0*u + 0 + 0*u**2 = 0. Calculate u.
0, 1
Let w be (64/(-24))/(2/6). Let l be 2/(-8) - 2/w. Let -2/3*m**3 - 2/3*m**5 + l*m + 4/3*m**4 + 0 + 0*m**2 = 0. What is m?
0, 1
Let g(i) be the second derivative of 0 + 1/11*i**2 + 0*i**3 + i - 1/66*i**4. Suppose g(q) = 0. What is q?
-1, 1
Let o = 33/47 - 1227/2350. Let v(c) be the second derivative of 4/15*c**3 + 0 - 3*c + o*c**5 - 2/5*c**4 + 0*c**2. Factor v(z).
2*z*(3*z - 2)**2/5
Let a(p) = -5*p**2 + 7*p - 2. Let q(j) = 9*j**2 - 13*j + 4. Let f(o) = 10*a(o) + 6*q(o). Let f(n) = 0. Calculate n.
1
Let a(x) be the third derivative of x**6/360 - x**5/60 + x**4/24 - x**3/2 - 2*x**2. Let k(l) be the first derivative of a(l). Factor k(d).
(d - 1)**2
Suppose -15 = -3*r, 134 = -3*l + r + 3*r. Let z = 153/4 + l. Factor 1/4*s**4 - z*s**3 + 0*s**2 + 0*s + 0.
s**3*(s - 1)/4
What is o in 0*o - 9/2*o**5 - 2 + 5/2*o**3 - 15/2*o**4 + 15/2*o**2 = 0?
-1, 2/3
Let w = -83 + 169/2. Let m be ((-1)/8)/(1/(-6)). Factor w*f**3 - 3/4*f + 3/2*f**2 - 3/4*f**4 - m - 3/4*f**5.
-3*(f - 1)**2*(f + 1)**3/4
Let b = -9 + 11. Suppose 7*o = 6*o + b. Factor 29*n**3 + 50*n**4 - 72*n**o + 9*n**3 + 16*n + 22*n**3.
2*n*(n + 2)*(5*n - 2)**2
Suppose 9*m - 510 = 4*m. Let b be m/99 - 4/6. Factor -2/11*g**2 - b + 6/11*g.
-2*(g - 2)*(g - 1)/11
Factor 0*l + 10*l**4 - 5*l**3 - 5*l**4 + 0*l.
5*l**3*(l - 1)
Let x be (-2)/6*1*-16. Determine g, given that -x - 308/3*g**3 - 452/3*g**2 - 160/3*g = 0.
-1, -2/7, -2/11
Let x(p) be the first derivative of -1/2*p**2 + 1/3*p**3 + 29/16*p**4 + 21/20*p**5 + 0*p + 1. Determine h so that x(h) = 0.
-1, -2/3, 0, 2/7
What is y in -2/5*y**3 + 0 - 2/5*y**5 + 4/5*y**4 + 0*y + 0*y**2 = 0?
0, 1
Let z be 3 + 15 + (3 - 0). Suppose -z*a = -16*a. Factor 2/5*m**2 + 2/5*m + a.
2*m*(m + 1)/5
Let g(n) = 2*n**3 + 2*n**2 - 5*n + 4. Let b(h) = 5*h**3 + 7*h**2 - 16*h + 12. Let y(f) = 3*b(f) - 8*g(f). Factor y(l).
-(l - 2)**2*(l - 1)
Let c be (-2)/(-12)*7/(-7)*-1. Let d(a) be the first derivative of -c*a**2 + 3 + 0*a**3 + 1/12*a**4 + 0*a. Solve d(s) = 0.
-1, 0, 1
Let j = 35/39 - 3/13. Factor -j*m**2 + 0*m + 0.
-2*m**2/3
Let a(n) = -4*n**2 + 4*n - 1. Let l(m) = -m**2 + 1. Let o(s) = a(s) - 3*l(s). Factor o(q).
-(q - 2)**2
Let t(q) be the first derivative of -4*q**5/25 + q**4/5 + 16*q**3/15 - 8*q**2/5 + 5. Factor t(n).
-4*n*(n - 2)*(n - 1)*(n + 2)/5
Find u such that -4/5*u - 2/5*u**2 - 2/5 = 0.
-1
Let r(j) be the first derivative of 0*j - 3 + 2*j**3 + 2/5*j**5 - 3/2*j**4 - j**2. Solve r(l) = 0.
0, 1
Let p(m) be the third derivative of m**8/60480 - m**7/5040 + m**6/1080 - m**5/20 - 2*m**2. Let c(q) be the third derivative of p(q). Factor c(i).
(i - 2)*(i - 1)/3
Let q(u) be the third derivative of -u**5/12 - 5*u**4/8 - 5*u**3/3 - 10*u**2. Determine s so that q(s) = 0.
-2, -1
Let g(z) be the first derivative of -3*z**4/4 - 6*z**3 - 27*z**2/2 - 12*z + 39. Let g(y) = 0. What is y?
-4, -1
Suppose 5*s - 4*s = -2*u - 2, 0 = -4*u - s. Factor -u + 16 + 12 + 3*n**2 - 18*n.
3*(n - 3)**2
Let t = 3 + -1. Let j = t + -3/2. Let -j*g**2 + g - 1/2 = 0. Calculate g.
1
Factor 9826/7 - 1734/7*u + 102/7*u**2 - 2/7*u**3.
-2*(u - 17)**3/7
Let f be 9 + 2 + -7 + 4. Let y be ((-27)/18)/((-3)/f). Factor -t**2 + 0*t**3 + 1/2 + 0*t + 1/2*t**y.
(t - 1)**2*(t + 1)**2/2
Let d(h) be the third derivative of h**8/80640 + h**7/3360 + h**6/320 - h**5/12 + 3*h**2. Let u(k) be the third derivative of d(k). Factor u(m).
(m + 3)**2/4
Let s(r) = -2*r**2 - r - 2. Suppose 2*c + 21 = -2*c - g, 4*g = -4. Let o(n) = n. Let h(x) = c*o(x) - s(x). Factor h(q).
2*(q - 1)**2
Suppose -5*b = 4*f - 6*b - 11, -3*f + 2*b + 12 = 0. Factor -1/4 - 1/2*z - 1/4*z**f.
-(z + 1)**2/4
Let v(j) be the first derivative of 0*j**3 + 1/60*j**6 + 4 - 2*j + 1/24*j**4 + 1/20*j**5 + 0*j**2. Let p(w) be the first derivative of v(w). Factor p(c).
c**2*(c + 1)**2/2
Let z = 1 - 2/3. Let h(l) be the second derivative of z*l**4 - 1/7*l**3 - 2/7*l**2 + l + 0. Find i such that h(i) = 0.
-2/7, 1/2
Let m(c) = 7*c**2 - 5*c - 5. Let t be 3/((-2)/((-2)/1)). Let l(p) = -2*p + 3 - 2 - t + 3*p**2. Let k(o) = 5*l(o) - 2*m(o). Suppose k(a) = 0. Calculate a.
0
Let w(t) be the third derivative of -t**6/45 - t**5/60 - t**3/6 + 7*t**2. Let s(a) be the first derivative of w(a). Factor s(z).
-2*z*(4*z + 1)
Let u = -64 + 194/3. Let o(g) be the first derivative of -g**2 + 10/3*g**3 - u*g**6 + 14/5*g**5 + 2 + 0*g - 9/2*g**4. Factor o(s).
-2*s*(s - 1)**3*(2*s - 1)
Factor 0 + 2/9*g**2 + 2/3*g - 2/9*g**4 - 2/3*g**3.
-2*g*(g - 1)*(g + 1)*(g + 3)/9
Suppose b = -4, 5*v + b - 17 - 4 = 0. Let x be 1 - -1 - 4/v. Factor x*u**4 + 0 + 4/5*u + 14/5*u**2 + 16/5*u**3.
2*u*(u + 1)**2*(3*u + 2)/5
Suppose 3*g = 2*t - 21, g + 2 - 12 = -5*t. Let o(k) be the first derivative of 0*k**2 + 2/27*k**t + 2 - 2/45*k**5 + 0*k**4 + 0*k. Solve o(p) = 0.
-1, 0, 1
Let p(t) = -2*t**2 - 10*t - 4. Let i(s) = -6*s**2 - 29*s - 12. Let k(l) = 4*i(l) - 11*p(l). Solve k(z) = 0 for z.
-2, -1
Suppose -a = 5*y - 21, 0*a = -5*y + 4*a + 41. Suppose -s = -5*x + y, 4*x = 3*s - s + 4. Factor s*q**5 + 20*q**3 - q**5 - 19*q**3.
-q**3*(q - 1)*(q + 1)
Suppose -1/2*i**2 + 1/2 