*l**4 = 0. What is l?
-1, 0, 2/5
Let x(j) be the third derivative of -1/4*j**4 - 1/60*j**5 + 0*j - 4*j**2 + 0 - 3/2*j**3. Find p such that x(p) = 0.
-3
Let -12*n**3 - 37*n**2 + 16*n + 10*n**4 + 14*n - 3*n**3 - 18*n**2 = 0. Calculate n.
-2, 0, 1/2, 3
Factor q**5 - 4*q**4 - 3*q**3 - 3*q**2 + 5*q**4 - 4*q**2 - 2*q + 2*q**2.
q*(q - 2)*(q + 1)**3
Suppose -8*k + 4*k + 6 = 2*u, k - 3*u - 5 = 0. Suppose 3*y + k + 2 = -2*n, 3*y = -4*n - 8. Solve -2/3*c**3 - 2/3*c**5 - 4/3*c**4 + 0*c**2 + 0*c + y = 0.
-1, 0
Suppose -12 = 6*d - 10*d. Let h = d + -1. Factor 0 + 4/7*m + 2*m**h.
2*m*(7*m + 2)/7
Let m(h) be the second derivative of -h**7/105 + 2*h**6/75 - h**5/50 + 10*h. Factor m(z).
-2*z**3*(z - 1)**2/5
Let n(h) be the third derivative of 5*h**8/504 + 2*h**7/105 - h**6/45 - h**5/15 - h**4/36 - 7*h**2. Determine a so that n(a) = 0.
-1, -1/5, 0, 1
Let b(r) be the second derivative of -r**7/210 - r**6/50 - r**5/100 + r**4/20 + r**3/15 + 11*r. Solve b(i) = 0.
-2, -1, 0, 1
Let j(r) be the second derivative of -8/3*r**2 - 5/3*r**4 - 4*r + 0 + 4*r**3 - 5/6*r**5. Factor j(m).
-2*(m + 2)*(5*m - 2)**2/3
Let q(x) be the second derivative of -x - x**2 + 1/60*x**5 + 0 + 0*x**4 - 1/6*x**3. Let k(h) be the first derivative of q(h). Factor k(b).
(b - 1)*(b + 1)
Suppose -3*g - 10 = -5*g. Solve 2*n**4 + 0*n - 8*n**g - n**3 - 2*n**2 + 11*n**3 - 4*n + 2*n**5 = 0.
-1, -2/3, 0, 1
Let u(m) be the first derivative of 98*m**5/15 - 35*m**4/3 - 104*m**3/9 - 8*m**2/3 - 6. Determine h so that u(h) = 0.
-2/7, 0, 2
Suppose -10*f = -0*f - 4*f. Solve f + 1/6*q - 1/6*q**2 = 0.
0, 1
Let g = 16 - 14. Find y such that -3*y**4 + 12*y - 33*y**5 + 6*y**g - 15*y**3 - 16*y**3 - 3 + 45*y**5 + 7*y**3 = 0.
-1, 1/4, 1
Suppose 0*f - 2*f + 10 = 0. Let 10/3*r**4 - 2/3*r**f + 2/3 + 20/3*r**2 - 20/3*r**3 - 10/3*r = 0. Calculate r.
1
Let y(c) be the second derivative of c**5/60 + c**4/48 - c**3/12 - 3*c**2 + c. Let u(x) be the first derivative of y(x). Factor u(q).
(q + 1)*(2*q - 1)/2
Let p(k) be the first derivative of k**6/9 + 26*k**5/45 + 11*k**4/9 + 4*k**3/3 + 7*k**2/9 + 2*k/9 + 5. Suppose p(y) = 0. What is y?
-1, -1/3
Let a(t) be the second derivative of -2*t - 1/30*t**5 + 1/45*t**6 + 0 + 2/3*t**2 + 1/9*t**3 - 1/6*t**4. Determine i so that a(i) = 0.
-1, 1, 2
Let r(s) = 13*s**2 + 38*s + 64. Let i(a) = -32*a**2 - 96*a - 160. Let z(n) = 5*i(n) + 12*r(n). Find x, given that z(x) = 0.
-4, -2
Let c = -2 - 1. Let s be c*3/((-6)/2). Find y, given that 0 - 1/3*y**s + 0*y + 1/3*y**2 = 0.
0, 1
Let r(a) be the third derivative of a**8/3360 + a**7/630 + a**6/360 - a**4/24 + 2*a**2. Let w(v) be the second derivative of r(v). Factor w(n).
2*n*(n + 1)**2
Let r be 10/(-4)*(-2)/(-1). Let i = -2 - r. Determine t, given that -2*t - 4*t**3 + 3*t**3 + i*t**3 = 0.
-1, 0, 1
Let c(t) be the third derivative of -2*t**7/105 + t**6/10 - 2*t**5/15 - 10*t**2. Factor c(p).
-4*p**2*(p - 2)*(p - 1)
Let k(g) be the first derivative of 5*g**4/4 - 10*g**3 + 45*g**2/2 - 30. Factor k(u).
5*u*(u - 3)**2
Suppose 4*d + 3*k = 0, -d - 4*k = -5*k. Find f such that d - 8 - 40*f - 74*f**2 + 24*f**2 = 0.
-2/5
Let z(y) be the second derivative of 8*y**6/15 + y**5/5 - 44*y. Factor z(c).
4*c**3*(4*c + 1)
Factor 3/8*r**4 + 3/8*r**2 - 9/8*r**3 + 9/8*r - 3/4.
3*(r - 2)*(r - 1)**2*(r + 1)/8
Let p(l) be the second derivative of 3*l**5/50 + 19*l**4/90 + 11*l**3/45 + l**2/15 + 10*l. Suppose p(v) = 0. Calculate v.
-1, -1/9
Let w(c) = -c**3 - 6*c**2 - c - 1. Let k be w(-6). Suppose -m + k*m - 6 = -3*p, 2*m = 2*p + 10. Let 0 + 0*z + 2/7*z**4 + 4/7*z**m + 2/7*z**2 = 0. Calculate z.
-1, 0
Factor -1/7*n**5 + 0 - n**2 - 2/7*n - 9/7*n**3 - 5/7*n**4.
-n*(n + 1)**3*(n + 2)/7
Let c = 28 + -21. Let h be (-2)/(-4) - c/42. Factor 0 - 2/3*g + h*g**5 + 5/3*g**2 - 1/3*g**4 - g**3.
g*(g - 1)**3*(g + 2)/3
Find h such that -16/3*h**3 + 4/3*h + 0 + 2/3*h**2 + 10/3*h**4 = 0.
-2/5, 0, 1
Let v(r) be the first derivative of -1/6*r**6 + 0*r + 0*r**4 + 1 + 2/5*r**5 - 2/3*r**3 + 1/2*r**2. Let v(f) = 0. What is f?
-1, 0, 1
Let l(d) = -d**2 + 14*d + 3. Let i(m) = 15*m + 3. Let f(h) = -3*i(h) + 4*l(h). Find g such that f(g) = 0.
-1/4, 3
Solve -3*l**4 - 8*l**4 - 12*l**3 + 14*l**4 + 12*l**2 = 0 for l.
0, 2
Find d such that 2/11*d**4 - 6/11*d**2 - 4/11*d + 0 + 0*d**3 = 0.
-1, 0, 2
Let w(m) = -m**3 + 4*m**2 - 3*m - 2. Let d be w(3). Let p be 1 - (-1)/((-1)/d). Factor -2*s**2 - 2*s**4 + 2*s**p - 6*s**3 + 0*s**3 + 0*s**3.
-2*s**2*(s + 1)**2
Solve 2/5*s**3 + 14/5*s**2 + 2 + 22/5*s = 0 for s.
-5, -1
Let q be (40/30)/((-16)/(-36)). Factor -9/7*g**q - 3/7*g - 3/7*g**4 + 0 - 9/7*g**2.
-3*g*(g + 1)**3/7
Let m = 15 - 10. Let i = 8 - m. Solve v + 2*v**i - 1/2 + 7/2*v**2 = 0 for v.
-1, 1/4
Let p(l) be the first derivative of -4*l**5/15 + 8*l**3/9 - 4*l/3 - 36. Let p(w) = 0. Calculate w.
-1, 1
Let b be -1*-3*4/48. Let x(j) be the first derivative of -4 + 1/16*j**4 - 1/8*j**2 + 1/12*j**3 - b*j. Factor x(t).
(t - 1)*(t + 1)**2/4
Suppose -3*k + 12 = -5*n + 3*n, -2*k - 5*n - 11 = 0. Let 2/3*a**3 - 2/3 - k*a**2 + 2*a = 0. What is a?
1
Let w(n) be the second derivative of -4*n - 1/6*n**4 + 0*n**2 - 1/3*n**3 + 0. Determine t, given that w(t) = 0.
-1, 0
Suppose 0 = -3*o + 4*d, -6*d + 12 = -2*d. Suppose 5*z = o*c + 6*z - 12, 2*z = -4*c + 8. Solve -1/2 + 2*l**5 - l**3 - 7/2*l**c + 4*l**2 - l = 0 for l.
-1, -1/4, 1
Let t(z) be the third derivative of -z**9/60480 + z**8/5040 - z**7/1680 - z**5/20 - 2*z**2. Let r(g) be the third derivative of t(g). Let r(l) = 0. Calculate l.
0, 1, 3
Let r(l) be the third derivative of l**9/7560 + l**8/1120 + l**7/630 - l**4/12 + l**2. Let t(v) be the second derivative of r(v). Let t(f) = 0. Calculate f.
-2, -1, 0
Let t(f) = f**2 - 7*f. Let i(d) = 0*d**2 + 0*d**2 + 15*d - d**2 - d**2. Suppose -4*p + o + 9 = -45, -5*o + 42 = 4*p. Let c(j) = p*t(j) + 6*i(j). Factor c(s).
s*(s - 1)
Let o(b) be the second derivative of 0*b**3 - 2*b + 0 + 0*b**2 + 1/5*b**5 + 1/3*b**4. Factor o(t).
4*t**2*(t + 1)
Let o(k) be the second derivative of 5*k**4/72 + 13*k**3/36 + k**2/2 - 2*k. Factor o(c).
(c + 2)*(5*c + 3)/6
Let a(k) = -7*k**2 + 4 - 2*k**3 + 3*k**3 - 2 + 1. Let m be a(7). Factor b**5 - 3*b**m + 6*b**3 + 3*b**4 + 0*b**3 + b**2.
b**2*(b + 1)**3
Let i(y) be the first derivative of y**3/5 - 3*y**2/5 - 8. Factor i(m).
3*m*(m - 2)/5
Suppose 1/4*s**2 + 0 + 1/4*s = 0. What is s?
-1, 0
Let x be 4/1 - 2 - -1. Determine a, given that a - a + x*a**2 - 3*a = 0.
0, 1
Let a(z) be the third derivative of z**7/6300 - z**6/600 + z**5/150 + 5*z**4/24 - 5*z**2. Let y(i) be the second derivative of a(i). Find v such that y(v) = 0.
1, 2
Let u(t) be the second derivative of t**5/5 + t**4/4 - t**3/6 + 29*t. Suppose u(z) = 0. Calculate z.
-1, 0, 1/4
Factor 1/3*w**4 - 1/3*w**3 - 1/3*w**2 + 1/3*w + 0.
w*(w - 1)**2*(w + 1)/3
Let i = 100 - 298/3. Determine d so that 0*d - i*d**2 + 1/3*d**4 + 0*d**3 + 1/3 = 0.
-1, 1
Let c(f) be the third derivative of 0*f**3 + 0*f**4 + 0 + 0*f - 1/600*f**6 - 1/300*f**5 + f**2. Factor c(m).
-m**2*(m + 1)/5
Factor 8/7*d - 2/7*d**2 - 8/7.
-2*(d - 2)**2/7
Let u(b) be the first derivative of -6*b**5/65 + 5*b**4/78 + 2*b**3/39 + 3*b + 1. Let o(f) be the first derivative of u(f). Determine q so that o(q) = 0.
-1/4, 0, 2/3
Let y(h) be the third derivative of 0*h**3 + 0*h**4 + 0 + 4*h**2 + 0*h + 1/30*h**5. Factor y(k).
2*k**2
Let q = -16 + 8. Let l be 1*3 + q/(-4). Determine s so that 2*s**l - 3*s - 3*s**4 + s**2 + 3*s = 0.
-1/2, 0, 1
Let x(a) be the second derivative of a**4/4 - 3*a**3/2 + 3*a**2 - 8*a. Determine r so that x(r) = 0.
1, 2
Let c(s) be the second derivative of s**4/36 + s**3/18 - 38*s. Determine y so that c(y) = 0.
-1, 0
Let u = -170 + 170. Determine x so that 1/3*x + u*x**2 + 0 - 1/3*x**3 = 0.
-1, 0, 1
Let j(a) be the first derivative of -a**5/40 - a**4/24 + a**3/12 + a**2/4 - 5*a + 7. Let u(s) be the first derivative of j(s). Factor u(k).
-(k - 1)*(k + 1)**2/2
Let u(n) = n**2 + n. Let k(j) = -8*j**2 + 17*j. Let c(f) = k(f) + 3*u(f). Suppose c(g) = 0. Calculate g.
0, 4
Let g(o) be the first derivative of o**5 + 0*o**2 + 0*o**3 + 0*o + 2 - 25/24*o**6 - 1/4*o**4. Find c, given that g(c) = 0.
0, 2/5
Let k(b) be the second derivative of -b**4/3 - 2*b**3/3 + 12*b**2 + 8*b. Factor k(z).
-4*(z - 2)*(z + 3)
Let o be (-7)/(-14) - 14/4. Let w = -3 - o. Suppose 0*n**2 - 2/3*n**5 - 2/3*n + 0*