(x - 1)**2*(x + 1)**2/7
Let n(s) be the third derivative of 0 - 1/48*s**4 - 1/120*s**5 + 0*s + 0*s**3 - 2*s**2. Factor n(b).
-b*(b + 1)/2
Let o = 6/41 + 146/123. Solve o*n**3 - 2/3 + 2/3*n**4 + 0*n**2 - 4/3*n = 0.
-1, 1
Suppose -i = -3*x - 0*i - 31, 0 = 3*x + 2*i + 19. Let r = -6 - x. Suppose 6/7*o**2 + 0 - 6/7*o**5 + 4/7*o - 6/7*o**r - 2*o**4 = 0. What is o?
-1, 0, 2/3
Find y, given that -3*y**2 + 6*y**2 - 5*y**2 + 8*y = 0.
0, 4
Let z(l) be the second derivative of l**7/840 - l**5/40 - l**4/12 + l**3/2 - 2*l. Let p(t) be the second derivative of z(t). Factor p(x).
(x - 2)*(x + 1)**2
Let o = 4 + -10. Let j = o - -8. Factor 0 - 9*s**4 + 2*s**j + 0 - 12*s**3 + 4*s - 1.
-(s + 1)**2*(3*s - 1)**2
Let z = 4476/13 - 344. Factor z*a**2 - 2/13*a + 0 - 2/13*a**3.
-2*a*(a - 1)**2/13
Let p(k) = 2*k**2 + 6*k + 1. Let j(i) = 4*i + 6*i - 2*i**2 - 16*i. Let f be (2/(-5))/(1/10). Let s(x) = f*p(x) - 3*j(x). Find g, given that s(g) = 0.
-2, -1
Suppose -3*v + 3 = 3*g - 4*v, -g + 12 = -4*v. Let y(r) be the third derivative of g*r**3 + 0 + 1/24*r**4 + 0*r - 2*r**2 + 1/60*r**5. Factor y(a).
a*(a + 1)
Let l(a) be the first derivative of -a**3/15 + 3*a**2/5 - a + 2. Suppose l(r) = 0. What is r?
1, 5
Factor 2*q**3 - 7*q**2 - 7*q**2 + 16*q**2.
2*q**2*(q + 1)
Let m(b) = b - 1. Let i(c) = -c**3 - c**2 - c + 3. Suppose -3*v + 4*y + y + 13 = 0, -3*y - 2 = 4*v. Let d(g) = v*i(g) + 2*m(g). Factor d(j).
-(j - 1)*(j + 1)**2
Let f(p) = p**2 + p. Let c be f(3). Let s be 3*4/c + -1. Factor s*b**4 + 0*b**2 - 1/5*b + 2/5*b**3 - 1/5*b**5 + 0.
-b*(b - 1)**2*(b + 1)**2/5
Let r = 1/299 + 895/598. Let -r*n - 3 + 3/2*n**3 + 3*n**2 = 0. Calculate n.
-2, -1, 1
Let z(o) be the first derivative of 4*o**3/3 - 4*o**2 + 4*o + 11. Suppose z(a) = 0. What is a?
1
Let l(h) be the first derivative of -h**5/30 + 5*h**4/36 - 2*h**3/9 + h**2 - 1. Let k(m) be the second derivative of l(m). Factor k(u).
-2*(u - 1)*(3*u - 2)/3
Let a(y) be the first derivative of -1/9*y**3 - 3 + 2/3*y + 1/6*y**2. Factor a(l).
-(l - 2)*(l + 1)/3
Let w(u) be the third derivative of u**5/90 + 7*u**4/36 - 8*u**3/9 + 41*u**2. Factor w(n).
2*(n - 1)*(n + 8)/3
Let x(f) be the second derivative of f**7/1470 + f**6/1260 - f**5/210 - f**4/84 - 2*f**3/3 + 7*f. Let q(v) be the second derivative of x(v). Factor q(k).
2*(k - 1)*(k + 1)*(2*k + 1)/7
Solve 12/11*z**2 + 2/11*z**3 + 12/11 + 2*z = 0 for z.
-3, -2, -1
Let q(w) be the second derivative of -w**6/75 - w**5/25 - w**4/30 - 22*w. What is b in q(b) = 0?
-1, 0
Let k(r) be the third derivative of r**6/840 - r**5/105 + r**4/56 + 5*r**2 - 1. Factor k(n).
n*(n - 3)*(n - 1)/7
Let f(k) be the third derivative of -9*k**8/448 - 3*k**7/40 - k**6/16 + 3*k**5/40 + 3*k**4/32 - k**3/8 + 8*k**2. Suppose f(r) = 0. What is r?
-1, 1/3
Let t = 585/2 - 292. What is o in -1/2*o**5 + 1/2*o**3 + t*o**2 + 0 - 1/2*o**4 + 0*o = 0?
-1, 0, 1
Let l(o) = 3*o**4 + 27*o**3 + 43*o**2 + 27*o + 8. Let x(y) = 2*y**4 + 14*y**3 + 22*y**2 + 14*y + 4. Let t(k) = 2*l(k) - 5*x(k). Find r such that t(r) = 0.
-1
Let r(k) be the first derivative of -k**5 - 15*k**4/4 - 5*k**3 - 5*k**2/2 + 9. Determine w so that r(w) = 0.
-1, 0
Let z = 7 - 10. Let m be (-11)/(-2) + z/2. Factor 8*a + 4 + 8*a**3 + 4*a**4 - m - 6*a**4 - 12*a**2 - 2.
-2*(a - 1)**4
Let t(s) be the second derivative of s**4/6 + s**3/3 + 2*s + 34. Factor t(w).
2*w*(w + 1)
Let z(p) = p**3 + 4*p**2 + 2*p - 2. Suppose -2*a - 2*d - 2 = 0, -2 = 4*d - 6*d. Let i(g) = -3*g**2 - 3*g + 3. Let b(h) = a*i(h) - 3*z(h). What is o in b(o) = 0?
-2, 0
Let x(h) = 14*h**2 - 18*h - 10. Suppose -13*j + 18 = -16*j. Let p(y) = 5*y**2 - 6*y - 3. Let c(k) = j*x(k) + 17*p(k). What is w in c(w) = 0?
-3
Let b(p) be the second derivative of 9*p**5/100 - 7*p**4/40 - p**3/5 - 3*p**2/2 + 3*p. Let v(h) be the first derivative of b(h). Factor v(d).
3*(d - 1)*(9*d + 2)/5
Determine m, given that -2*m**2 - 2/3*m**3 + 2 + 2/3*m = 0.
-3, -1, 1
Let j(h) be the first derivative of h**4/4 + 11*h**3/3 + h**2/2 + 11*h + 6. Let b be j(-11). Solve -1/5*s**2 + 1/5*s + b = 0 for s.
0, 1
Let o be 59/(-6) + (-7)/42. Let a = o - -31/3. Factor g**3 + 2/3*g**2 - a*g + 0.
g*(g + 1)*(3*g - 1)/3
Factor -12*q**3 + 567*q - 1192*q - 45*q**2 + 12 + 589*q.
-3*(q + 2)**2*(4*q - 1)
Let y(o) be the second derivative of o**6/45 - o**5/15 - 2*o**4/3 + 40*o**3/9 - 32*o**2/3 + 25*o. Factor y(b).
2*(b - 2)**3*(b + 4)/3
Let c(l) be the first derivative of 55*l**4/4 + 10*l**3 - 55*l**2/2 - 30*l + 62. Let c(u) = 0. Calculate u.
-1, -6/11, 1
Let c(q) be the first derivative of -3*q**4/4 + q**3/3 + q**2/2 - 1. Let y be c(-1). What is f in 1 + f**y - f + f**2 - 6*f**2 + 4*f**2 = 0?
-1, 1
Let x = -16 + 26. Suppose 0 = x*z - 6*z - 8. Let -2/7*b**3 - 2/7*b**z + 2/7*b + 2/7 = 0. What is b?
-1, 1
Let a be 1 + 1 + 0 - 0. Suppose 5 = -a*z + 3*z. Solve -4*m**4 - 2*m**3 + 10*m**2 - 6*m**4 - 4*m + 4*m**z + 2*m**5 = 0 for m.
-1, 0, 2/3, 1
Suppose 12*d**2 - 4*d - 13*d**2 + 5*d**2 - 4*d**3 + 4*d**2 = 0. What is d?
0, 1
Let k = -163 - -165. Let z(f) be the first derivative of 4/7*f - 1/7*f**k - 2/21*f**3 + 5. Find x such that z(x) = 0.
-2, 1
Let h(i) be the first derivative of -i**4 + 2*i**2 - 1. Factor h(m).
-4*m*(m - 1)*(m + 1)
Let j(q) be the first derivative of -q**6/51 + 4*q**5/85 - 4*q**3/51 + q**2/17 + 22. Suppose j(x) = 0. Calculate x.
-1, 0, 1
Let t(m) be the first derivative of -1/6*m**6 + 1/4*m**4 + 1 + 7/6*m**3 + m**2 + m - 7/20*m**5. Let o(c) be the first derivative of t(c). Factor o(l).
-(l - 1)*(l + 1)**2*(5*l + 2)
Let 0*q**2 + 0 + 1/5*q**3 - 1/5*q = 0. What is q?
-1, 0, 1
Suppose -d = 4*d - 20. Suppose 2*v - 7*v = -2*x - 6, 4*v - 6 = x. Determine z, given that -x*z**d + 11*z - 11*z = 0.
0
Let z(m) be the first derivative of -4/3*m + 1/3*m**3 - 1/12*m**4 + 0*m**2 - 6. Factor z(l).
-(l - 2)**2*(l + 1)/3
Let r(k) be the first derivative of 2*k**3/7 - 5*k**2/7 - 4*k/7 + 4. Factor r(c).
2*(c - 2)*(3*c + 1)/7
Let o(d) be the third derivative of -1/40*d**6 - 1/20*d**5 + 0*d + 0*d**4 + 0 - 2*d**2 + 0*d**3. Factor o(r).
-3*r**2*(r + 1)
Let h = -2 - -6. Factor -6*d + 6*d - 6*d**3 - h*d**2 - 2*d**4.
-2*d**2*(d + 1)*(d + 2)
Let o(i) be the first derivative of -7 - 1/9*i**2 - 1/27*i**3 + 1/45*i**5 + 1/12*i**4 - 1/54*i**6 + 0*i. What is h in o(h) = 0?
-1, 0, 1, 2
Let w(a) be the third derivative of 3/20*a**6 - 7/30*a**5 - 1/21*a**7 + 0*a**3 + 1/6*a**4 + 2*a**2 + 0 + 0*a + 1/168*a**8. Determine q so that w(q) = 0.
0, 1, 2
Solve 3*a**5 + 3*a**3 - 2*a**5 - a**4 - a**3 - 2*a**5 = 0.
-2, 0, 1
Suppose -3*s - 25 = -2*i, -8 - 27 = -3*i + 5*s. Factor -16*f**2 + 2*f**5 + 10*f - 2*f**4 - 3*f**4 - 2 - 5*f**4 + i*f**3 - 4*f**2.
2*(f - 1)**5
Let n(g) = -60*g**2 - 120*g - 110. Let y(j) = 5*j**2 + 10*j + 9. Let k(r) = 2*n(r) + 25*y(r). Factor k(d).
5*(d + 1)**2
Let q(r) be the second derivative of -r**6/60 + r**5/10 - 5*r**4/24 + r**3/6 + 4*r. Suppose q(i) = 0. Calculate i.
0, 1, 2
Let o(a) be the first derivative of -2*a**5 + 3*a**4/2 + 4*a**3/3 - 28. Find p such that o(p) = 0.
-2/5, 0, 1
Let s(w) be the third derivative of 0 + 2/35*w**7 + 0*w**4 - 2*w**2 + 0*w**3 - 1/112*w**8 + 0*w + 1/10*w**5 - 1/8*w**6. Let s(j) = 0. Calculate j.
0, 1, 2
Find n, given that 0 + 0*n + 0*n**3 - 3/8*n**2 + 3/8*n**4 = 0.
-1, 0, 1
Let a(x) = 3*x**2 - 6*x + 5. Let p = 3 + -4. Let v(c) = 1. Let f(k) = p*a(k) + 2*v(k). What is d in f(d) = 0?
1
Let p(u) be the second derivative of u**7/14 - 9*u**6/10 + 93*u**5/20 - 51*u**4/4 + 20*u**3 - 18*u**2 - u - 17. Determine l, given that p(l) = 0.
1, 2, 3
Let a be 1 - (1 - 0)/1. Suppose a = -3*k - 2 - 4, 0 = -3*i - k + 13. Suppose 4*j**4 - 4*j**2 + 5*j**2 - j + j**3 - i*j**4 = 0. Calculate j.
-1, 0, 1
Let m(s) be the third derivative of 7*s**6/480 - s**5/120 + 25*s**2. Suppose m(a) = 0. Calculate a.
0, 2/7
Let p(i) be the third derivative of 0 + 0*i + 0*i**3 - 1/60*i**4 - 1/300*i**6 + 1/75*i**5 + 2*i**2. Let p(u) = 0. What is u?
0, 1
Let q be (6 - 153/27) + (-10)/(-6). Factor 6/7*a**q + 6/7 - 20/7*a.
2*(a - 3)*(3*a - 1)/7
Let i(k) be the second derivative of -k**6/45 - 3*k**5/10 + 5*k**4/9 - 5*k - 5. Factor i(j).
-2*j**2*(j - 1)*(j + 10)/3
Let j be (3/(-135))/(4/(-10)). Let p(s) be the second derivative of j*s**3 + s + 1/36*s**4 + 0 + 0*s**2. Let p(r) = 0. Calculate r.
-1, 0
Let r = 1/1586 - 2748541/4758. Let p = r - -583. Factor 4*f**3 - 8*f**2 +