hat l(i) = 0.
0, 1/4, 1/3
Let v(t) be the first derivative of -t**5/15 + t**4/12 + t**3/9 - t**2/6 - 1. Factor v(a).
-a*(a - 1)**2*(a + 1)/3
Let a(g) be the first derivative of g**5/45 - g**4/12 + g**3/9 - g**2/18 + 10. Suppose a(x) = 0. Calculate x.
0, 1
Suppose 4/3*z + 2 + 2/9*z**2 = 0. Calculate z.
-3
Factor -12/5*a**3 + 12/5*a + 0 + 32/5*a**2.
-4*a*(a - 3)*(3*a + 1)/5
Solve 68*k**3 - 565*k - 36*k**4 + 376*k**3 + 741*k - 544*k**2 = 0.
0, 2/3, 11
Let k = 1 - -3. Solve 2*w**2 + k*w - w - w**2 - w + 1 = 0.
-1
Let y(h) = -2*h + 6. Let n be y(3). Let l(t) be the first derivative of 0*t**2 + 1/8*t**4 - 1 + n*t + 1/6*t**3. Find r such that l(r) = 0.
-1, 0
Suppose -18/11*l**2 + 0 - 10/11*l**4 - 24/11*l**3 - 4/11*l = 0. What is l?
-1, -2/5, 0
Let c(p) be the second derivative of 3*p**5/20 - 5*p**4/4 - p**3/2 + 15*p**2/2 + 2*p. Factor c(m).
3*(m - 5)*(m - 1)*(m + 1)
Let n be (6/(-8))/((-2)/8). Let h be (3/(-18))/(n + -4). Determine u, given that 5/6*u**3 - h*u**2 - 4/3*u - 2/3 + 1/6*u**4 - 1/6*u**5 = 0.
-1, 2
Let y(t) be the second derivative of -t**7/12600 + t**6/1800 - t**5/600 + t**4/6 + 4*t. Let d(u) be the third derivative of y(u). Factor d(i).
-(i - 1)**2/5
Let t(b) be the second derivative of b**6/180 + b**5/30 + b**4/12 + b**3/9 + b**2/12 + 4*b. Let t(s) = 0. Calculate s.
-1
Let r(f) be the third derivative of f**8/1344 - f**7/140 + f**6/40 - f**5/24 + f**4/32 + 4*f**2. What is d in r(d) = 0?
0, 1, 3
Find i such that 3*i**5 - 6*i**2 + 60*i - 54*i + 3*i**2 + 3*i**4 - 9*i**3 = 0.
-2, -1, 0, 1
Suppose -10*l**2 + 50/3*l - 2/3*l**4 - 6*l**3 + 0 = 0. Calculate l.
-5, 0, 1
Let q(j) be the second derivative of j**7/1050 - j**6/300 + j**4/60 + 5*j**3/6 + 2*j. Let v(b) be the second derivative of q(b). Let v(y) = 0. Calculate y.
-1/2, 1
Let 0*d - 3*d**4 - 3/2*d**3 + 3/2*d**2 + 0 = 0. Calculate d.
-1, 0, 1/2
Let j(r) be the first derivative of -r**4/4 - r**3 + 4*r + 7. Determine s, given that j(s) = 0.
-2, 1
Let j(s) = -s**3 + 2*s**2 - 2*s + 12. Let r be j(-9). Let k = -8281/9 + r. Factor k*o**3 + 4/9*o + 2/9*o**4 + 10/9*o**2 + 0.
2*o*(o + 1)**2*(o + 2)/9
Let x(t) = t**2 - t - 1. Let h(d) = 4*d**2 - 5*d - 3. Let l(y) = -2*h(y) + 6*x(y). Determine q so that l(q) = 0.
0, 2
Let t(k) be the first derivative of -k**6/3 - 4*k**5/5 + 4*k**3/3 + k**2 - 2. Factor t(s).
-2*s*(s - 1)*(s + 1)**3
Factor 0 + y**2 - 5/2*y**3 + 0*y.
-y**2*(5*y - 2)/2
Let z(q) be the first derivative of -3/16*q**4 + 0*q + 1/20*q**5 - 1/8*q**2 + 1/4*q**3 + 4. What is j in z(j) = 0?
0, 1
Let p(m) be the second derivative of -4*m**5/15 - 2*m**4/9 - m**3/18 - 2*m. Factor p(k).
-k*(4*k + 1)**2/3
Let v(s) be the third derivative of 2*s**2 + 0*s**3 + 0 + 0*s - 1/60*s**5 + 0*s**4. Factor v(d).
-d**2
Let d(t) be the third derivative of t**11/55440 - t**10/18900 + t**9/30240 + t**5/12 - 5*t**2. Let z(s) be the third derivative of d(s). Factor z(l).
2*l**3*(l - 1)*(3*l - 1)
Let u(h) be the third derivative of 0*h**6 + 2/105*h**5 - 1/735*h**7 + 0*h**3 + 0*h + 0*h**4 + 0 - h**2. Factor u(s).
-2*s**2*(s - 2)*(s + 2)/7
Let y(v) be the third derivative of 1/1050*v**7 + 1/600*v**6 + 0*v**4 + 0*v**3 - v**2 - 1/300*v**5 + 0 - 1/1680*v**8 + 0*v. Suppose y(c) = 0. Calculate c.
-1, 0, 1
Let w(x) be the second derivative of x**6/45 + x**5/30 - x**4/18 - x**3/9 - 11*x. Factor w(k).
2*k*(k - 1)*(k + 1)**2/3
Let q(o) be the first derivative of o**3/3 - o**2 + o - 3. Let t be q(-2). Factor 0*v**4 + t*v**3 - 16*v**4 - v**2 - 11*v**4 + 27*v**5.
v**2*(3*v - 1)**3
Let n be ((-51)/(-340))/(3/338). Let l = n - 33/2. Solve -2/5*c**2 + 4/5 + l*c = 0.
-1, 2
Let s(j) be the third derivative of -j**8/84 + 2*j**6/15 + 2*j**5/15 - j**4/2 - 4*j**3/3 - 12*j**2. Factor s(f).
-4*(f - 2)*(f - 1)*(f + 1)**3
Let o = -17 + 20. Let h be -3 + (o - 0) - -4. Factor 2/7*n**h - 2/7*n**2 - 2/7*n + 0 + 2/7*n**3.
2*n*(n - 1)*(n + 1)**2/7
Factor 1/3 + 1/3*g**4 - 2/3*g**2 + 0*g + 0*g**3.
(g - 1)**2*(g + 1)**2/3
Let p(m) be the first derivative of -m**5/90 + 2*m**4/27 - m**3/9 - 5*m + 4. Let g(o) be the first derivative of p(o). Factor g(v).
-2*v*(v - 3)*(v - 1)/9
Let j be 1*1*(2 - -1). Factor 0*l + 0 - 3/7*l**4 + 6/7*l**2 - 3/7*l**j.
-3*l**2*(l - 1)*(l + 2)/7
Let g(n) = -3*n - 1. Let z be g(1). Let a(t) = t**2 + 4*t + 3. Let o be a(z). Let -m**3 - m**o + 2*m - 3*m**2 + 5*m**2 - 2 = 0. Calculate m.
-1, 1
Let r(q) be the second derivative of q**5/5 + 2*q**4/3 + 2*q**3/3 - 7*q. Determine u, given that r(u) = 0.
-1, 0
Let o(g) = 3*g**4 + 3*g**3 + 12*g**2 + 13*g - 11. Let q(i) = -5*i**4 - 5*i**3 - 18*i**2 - 20*i + 16. Let c(x) = 8*o(x) + 5*q(x). Factor c(a).
-(a - 2)*(a - 1)*(a + 2)**2
Let z be 4/(-18) - 22/(-36). Let i = 1/9 + z. Factor -i*m**2 - 1/2*m**3 + 1/2*m + 1/2.
-(m - 1)*(m + 1)**2/2
Solve -5/2*c**2 + 9/2 + 1/2*c**3 + 3/2*c = 0 for c.
-1, 3
Let l(n) be the second derivative of n**9/12096 - n**7/3360 + n**3/3 - 2*n. Let t(c) be the second derivative of l(c). Let t(x) = 0. Calculate x.
-1, 0, 1
Let f = -52/21 - -10/3. Factor -3/7 - 3/7*x**2 + f*x.
-3*(x - 1)**2/7
Determine l so that 1/9*l**5 + 0*l**4 + 0 + 0*l**2 - 1/9*l**3 + 0*l = 0.
-1, 0, 1
Suppose 3*k - 2*f + 0 = -4, -4*k + 3*f = 7. Find b, given that 0 + 2/7*b**k + 2/7*b = 0.
-1, 0
Let f(g) be the first derivative of -g**6/300 + g**5/75 + g**4/60 - 2*g**3/15 + g**2/2 - 5. Let o(q) be the second derivative of f(q). Solve o(b) = 0.
-1, 1, 2
Let g(c) = -6*c**3 + 3*c**2 + 3*c - 3. Let z(s) be the first derivative of 7*s**4/4 - s**3 - 2*s**2 + 4*s + 4. Let t(k) = 4*g(k) + 3*z(k). Factor t(n).
-3*n**2*(n - 1)
Let k be (-2)/13 - 144/(-3471). Let w = k + 426/623. Find b, given that -w*b + 2/7*b**2 + 2/7 = 0.
1
Let r(c) be the first derivative of c**6/480 + c**5/240 + 5*c**2/2 + 2. Let t(f) be the second derivative of r(f). Let t(v) = 0. What is v?
-1, 0
Let l(b) be the second derivative of -b**6/105 + b**5/70 - 68*b. Suppose l(u) = 0. Calculate u.
0, 1
Let z be (-6)/(-4)*4/3. Let f be -5*-2*(-4)/(-10). Suppose -c**f - 2*c**2 + 2*c**2 + c**z = 0. Calculate c.
-1, 0, 1
Let p be (-20)/25 + (228/(-20))/(-3). Suppose -6 = -5*i - 3*d, 0 = -2*d + 5 - 1. Factor -2/5*j**p + i*j**2 + 1/5*j**4 + 2/5*j - 1/5.
(j - 1)**3*(j + 1)/5
Let a(y) = -y**2 + 7*y - 5. Let d be a(4). Solve b**2 + 4*b + b**2 - 5 + d = 0.
-1
Suppose 2/7*c**2 + 0 - 16/7*c = 0. What is c?
0, 8
Let n(o) = o**3 - 1. Let i(a) = 7*a**3 - 16*a**2 + 26*a - 17. Let m(b) = i(b) - 5*n(b). Solve m(t) = 0.
1, 6
Find c such that 0 - 5/4*c**4 + 1/2*c**2 + 0*c - 3/4*c**3 = 0.
-1, 0, 2/5
Let f be 64/(-76) - (1 - 2). Let b = f + 13/38. Factor 1/2 - b*u**2 + 1/2*u - 1/2*u**3.
-(u - 1)*(u + 1)**2/2
Let i be (18/(-15))/(4/(-10)). Suppose -13 + i = -5*m. Solve o**3 + 1 + 3*o**m + 3*o + o**2 - o**2 = 0.
-1
Let w(q) be the second derivative of -1/5*q**5 + 0*q**2 + 0 - 4/3*q**3 - q**4 - q. Determine g, given that w(g) = 0.
-2, -1, 0
Let 0 + 1/2*m**3 + 0*m**2 - 1/2*m = 0. Calculate m.
-1, 0, 1
Let j(v) be the third derivative of -v**5/210 - v**4/21 - v**3/7 + 17*v**2. Factor j(d).
-2*(d + 1)*(d + 3)/7
Let v(g) be the second derivative of -g**4/72 - g**3/18 - g**2/12 - 3*g. Suppose v(s) = 0. Calculate s.
-1
Let c = 25 + -18. Let o(h) be the second derivative of -1/21*h**c + h**2 + 1/15*h**6 - 1/3*h**3 + h + 0 + 1/5*h**5 - 1/3*h**4. Factor o(n).
-2*(n - 1)**3*(n + 1)**2
Factor 3/7*f**4 + 0 - 9/7*f - 3/7*f**3 - 15/7*f**2.
3*f*(f - 3)*(f + 1)**2/7
Let a(y) be the third derivative of y**5/15 - y**4/3 + 2*y**3/3 - 44*y**2. Factor a(k).
4*(k - 1)**2
Let l be 5/(-4) - (5/10 + -2). Find z, given that -l*z + 0 + 0*z**3 - 1/2*z**2 + 1/2*z**4 + 1/4*z**5 = 0.
-1, 0, 1
Let j(t) = -7*t**2 + 3*t - 13. Let a(r) = -22*r**2 + 8*r - 40. Let f(i) = 5*a(i) - 16*j(i). Factor f(n).
2*(n - 2)**2
Let w(z) be the second derivative of z**4/4 - 3*z**2/2 - 2*z. Factor w(q).
3*(q - 1)*(q + 1)
Suppose -8*h + 16 = -4*h. Let v be 1/(((-12)/(-15))/h). Factor 1/2*d**4 + 1/2*d**3 + 0 + 0*d - 1/2*d**2 - 1/2*d**v.
-d**2*(d - 1)**2*(d + 1)/2
Let h(l) be the first derivative of -l**3/21 + 3*l**2/14 - 4. Determine t, given that h(t) = 0.
0, 3
Suppose 2*c - 16 = -2*c. Let v(m) be the third derivative of 0*m + 1/108*m**c + 0*m**3 + 1/180*m**6 + m**2 - 1/945*m**7 - 1/90*m**5 + 0. Factor v(i).
-2*i*(i - 1)**3/9
Let k(z) be the second derivative of z**8/672 - z**7/240 + z**6/360 - 5*z**3/6 - 2*z. Let s(a