e of c(l). Suppose a(q) = 0. Calculate q.
-2
Suppose -2*q - 4*z + 16 = 0, z = 2 - 0. Suppose -5*v + 14 = -11, 0 = -3*u - q*v + 26. Factor 1/4 - 1/4*r + 1/4*r**3 - 1/4*r**u.
(r - 1)**2*(r + 1)/4
Let a(c) be the third derivative of c**8/1680 - c**7/525 - c**6/300 + c**5/75 + c**4/120 - c**3/15 - 31*c**2. Suppose a(j) = 0. What is j?
-1, 1, 2
Let m(p) be the third derivative of p**6/180 - p**5/45 + p**4/36 - 10*p**2. Factor m(c).
2*c*(c - 1)**2/3
Let p = -55/9 - -1532/261. Let x = 179/261 + p. Factor -4/9*j**2 + 0*j**4 + 2/9*j**5 - 8/9*j**3 + 2/3*j + x.
2*(j - 2)*(j - 1)*(j + 1)**3/9
Let m(w) be the third derivative of w**5/120 - w**4/16 + 24*w**2. Find o, given that m(o) = 0.
0, 3
Let 68*n**4 - 69*n**4 + 2*n - 3*n**3 + 1 + n**3 = 0. What is n?
-1, 1
Let x(f) be the second derivative of -5*f**4/12 - 4*f**3/3 - 3*f**2/2 - 3*f. Factor x(o).
-(o + 1)*(5*o + 3)
What is h in 0*h**2 + 0 + 0*h - 1/2*h**3 + 1/2*h**4 = 0?
0, 1
Let s be 14/(-20)*(4 + -3). Let p = -23/90 - s. Factor -p + 2/9*m + 2/9*m**2.
2*(m - 1)*(m + 2)/9
Let p(l) be the second derivative of -1/10*l**5 + 0 + 1/3*l**3 + 0*l**2 + 0*l**4 + 2*l. Factor p(c).
-2*c*(c - 1)*(c + 1)
Suppose -5*m = -4*n - 38, 3*m - n = 3*n + 26. Factor m*l + 5*l + 2*l**2 - 5*l + 4.
2*(l + 1)*(l + 2)
Let u(a) = 7*a + 37. Let i be u(-5). Let 1/3*n**3 + 0 + 2/3*n**i + 1/3*n = 0. What is n?
-1, 0
Factor 4/3 - 1/6*n**3 + 2/3*n - 1/3*n**2.
-(n - 2)*(n + 2)**2/6
Let m(n) be the first derivative of 3 - n**3 + 2*n**2 + 2*n + 1/6*n**4. Let s(r) be the first derivative of m(r). Factor s(y).
2*(y - 2)*(y - 1)
Let y(z) be the third derivative of 1/336*z**8 + 0*z**7 + 0 + 1/24*z**4 - 1/60*z**6 + 0*z**5 + 0*z - 4*z**2 + 0*z**3. Determine l so that y(l) = 0.
-1, 0, 1
Let n be 2*114/60 - 2. Find f such that 3*f - 6/5 - n*f**3 + 12/5*f**2 = 0.
-1, 1/3, 2
Let w(b) = -b**2 - 2*b + 2. Let m be w(-2). Let x(t) be the first derivative of -9/4*t**4 + t - 2 + 5*t**3 - 7/2*t**m. Determine i so that x(i) = 0.
1/3, 1
Let z(w) = -w**2 - 6*w - 5. Let l be z(-4). Determine d, given that 2 - l + d - d**2 + 1 + 2 = 0.
-1, 2
Let x(w) = w + 3. Let j be x(-1). Let v(y) be the third derivative of -1/24*y**4 + 1/40*y**5 - 2*y**j + 0*y**6 + 0 + 0*y**3 + 0*y - 1/420*y**7. Factor v(h).
-h*(h - 1)**2*(h + 2)/2
Factor 3*u**2 + 3 - 3 + 3 + 6*u.
3*(u + 1)**2
Let n(g) be the third derivative of -g**5/540 - g**4/216 - 9*g**2. What is o in n(o) = 0?
-1, 0
Let t(o) be the third derivative of -o**5/330 - 5*o**4/132 + 2*o**3/11 + 35*o**2. Factor t(m).
-2*(m - 1)*(m + 6)/11
Let a be 0/((-2)/2*3). Factor -4/3*h + a + 1/3*h**4 + h**3 + 0*h**2.
h*(h - 1)*(h + 2)**2/3
Let u be -2*3/(1 - 10). Let l = -2 - -6. Factor 2/3*c + u*c**2 - 2/3*c**3 - 2/3*c**l + 0.
-2*c*(c - 1)*(c + 1)**2/3
Factor -16*j**2 + 10*j**2 - 3*j**4 + 4*j**3 - 13*j**3.
-3*j**2*(j + 1)*(j + 2)
Let g be 6*(-1)/(9/(-66)). Let l be 6/11 - 8/g. Factor 2/11 - l*a - 6/11*a**2.
-2*(a + 1)*(3*a - 1)/11
Let u(a) be the second derivative of 5*a**4/12 + a**3/6 - a. Let c be u(-1). Determine k so that -10/9*k**2 - 2/3*k**3 + 2/9 + 8/9*k**c + 2/3*k = 0.
-1, -1/4, 1
Let x(r) be the second derivative of -4/7*r**7 + 0 + 7/6*r**4 + 2/3*r**3 - 16/15*r**6 + 0*r**2 + 1/10*r**5 + 2*r. Find f such that x(f) = 0.
-1, -1/2, 0, 2/3
Let j(d) be the second derivative of -1/20*d**5 + 0 - 1/2*d**2 + 1/12*d**4 + 3*d + 1/6*d**3. Solve j(i) = 0.
-1, 1
Let x = -1 + 7. Let b be x/(-8) - 185/(-140). Factor 2/7*v - 2/7*v**5 + 0 - b*v**4 + 0*v**3 + 4/7*v**2.
-2*v*(v - 1)*(v + 1)**3/7
Suppose 5*i - 2*i = 9. Factor 5 - 9*l**2 + i*l**2 - 3 + 3*l**4 + 1.
3*(l - 1)**2*(l + 1)**2
Let l(n) be the third derivative of -n**6/60 + 7*n**4/12 + 2*n**3 + 18*n**2. Determine o so that l(o) = 0.
-2, -1, 3
Let t be (-96)/80*10/(-6). Let l(w) be the third derivative of 1/30*w**6 - 1/210*w**7 + 0 - 1/15*w**5 + t*w**2 + 0*w**4 + 0*w**3 + 0*w. Let l(y) = 0. What is y?
0, 2
Let w(m) = 7*m**3 - 27*m**2 + 8*m + 4. Let k(c) = -c**2. Let h = -8 + 11. Let l(y) = h*w(y) - 24*k(y). Factor l(x).
3*(x - 2)*(x - 1)*(7*x + 2)
Suppose -3 = -3*r, 0*b + 2*b + 2*r - 10 = 0. Let z(w) be the first derivative of -2 - 40*w**4 + 11*w**2 + 16/3*w**3 - b*w. Factor z(d).
-2*(4*d - 1)**2*(5*d + 2)
Let u(k) be the first derivative of -2*k**3/21 + 10*k**2/7 - 50*k/7 - 5. Determine t so that u(t) = 0.
5
Suppose -9*p + p = -16. Let l(v) be the first derivative of 4*v + 1/3*v**3 + 2 - 2*v**p. Factor l(k).
(k - 2)**2
Let c be 46/12 + 2/12. Determine q so that -q**2 + 0*q**4 - 2*q**2 + 3*q**c = 0.
-1, 0, 1
Let l(g) be the second derivative of 7*g + g**3 + 0*g**2 + 0 - 1/3*g**4 + 1/30*g**5. Let l(a) = 0. Calculate a.
0, 3
Determine j so that -9 - j**4 + 4*j**3 - 14*j + 24*j**2 - 22*j**2 + 2*j = 0.
-1, 3
Suppose -4*t + 9 = -t. Factor -4*r + 2*r**t - r**3 + r**4 + 3*r**3 + r**4 - 2.
2*(r - 1)*(r + 1)**3
Let g be (-1)/3 - 68/12. Let v = -8 - g. Let q(k) = -9*k**2 - 4*k + 5. Let w(u) = -4*u**2 - 2*u + 2. Let h(r) = v*q(r) + 5*w(r). Suppose h(t) = 0. What is t?
-1, 0
Let f(n) be the first derivative of n**6/420 - n**5/210 + 3*n**2/2 - 2. Let u(b) be the second derivative of f(b). Suppose u(k) = 0. Calculate k.
0, 1
Suppose -2*a - 2*j + 12 = 0, -2*a = -2*j - 2 - 2. Let 4*x**3 - 2*x**a + x**2 + 2*x**2 - 5*x**2 = 0. What is x?
0, 1
Let o(m) = -m**3 - 7*m**2 - 7*m + 3. Let a be o(-6). Let x = -6 + a. Determine n so that 0 - 4/3*n**2 - 2/3*n**5 + 0*n + 2/3*n**x + 4/3*n**4 = 0.
-1, 0, 1, 2
Let b(g) be the first derivative of -3*g**4/4 - 8*g**3 + 3*g**2/2 + 24*g - 63. Find f such that b(f) = 0.
-8, -1, 1
Let r be 14*((-130)/35 - -4). Let m(n) be the second derivative of 0 + 0*n**2 + 2*n + 1/6*n**r - 2/3*n**3. What is z in m(z) = 0?
0, 2
Let n = 2 + -1. Suppose -2*z + 11 = -n. What is s in 6 - s**2 - 2 + 3*s**2 - z*s = 0?
1, 2
Let n be -2 + (-2)/4*2. Let o = 7 + n. Let 2*v**5 + 0*v**5 + 5*v + 4*v**4 - 4*v**5 - o*v**2 - 3*v = 0. Calculate v.
-1, 0, 1
Let c(r) be the third derivative of r**5/90 + r**4/36 - 7*r**2. Let c(u) = 0. What is u?
-1, 0
Let o(b) be the first derivative of 0*b**2 + 2/3*b**3 - 1/4*b**4 + 0*b + 2. Factor o(z).
-z**2*(z - 2)
Suppose 2*k - 6 = -2. Factor 2*o**2 + 4*o**k + 2*o + 2*o - 4*o**2.
2*o*(o + 2)
Let b(j) be the first derivative of -j**7/210 + j**6/120 + j**5/60 - j**4/24 - 3*j**2/2 + 4. Let m(u) be the second derivative of b(u). Factor m(o).
-o*(o - 1)**2*(o + 1)
Let s(a) be the third derivative of -a**8/3192 + 2*a**7/1995 + 3*a**2 + 7*a. Suppose s(p) = 0. What is p?
0, 2
Let v be 1/((-40)/(-28))*(-8)/(-14). What is y in v - 2/5*y**2 + 0*y = 0?
-1, 1
Let o = -2 + 4. Suppose 5*t - 4*t = o. Factor f + 5/4*f**3 - 1/4*f**4 - t*f**2 + 0.
-f*(f - 2)**2*(f - 1)/4
Find u, given that 0 - 2/3*u**3 + 0*u**2 + 0*u = 0.
0
Let s(i) be the second derivative of 2*i**6/15 - i**5/5 - i**4/3 + 2*i**3/3 + 28*i. Factor s(t).
4*t*(t - 1)**2*(t + 1)
Let l = -2 - 13. Let j be (-6)/l - 3 - -3. Factor 2/5 - 6/5*x - j*x**3 + 6/5*x**2.
-2*(x - 1)**3/5
Factor 0 + 4/5*m + 1/5*m**2.
m*(m + 4)/5
Let b be (0 - -1)/5 - 196/(-70). Factor 0 - 7/4*u**4 + 0*u + 3*u**b + u**2.
-u**2*(u - 2)*(7*u + 2)/4
Let s = 53/21 + 15/7. Factor 4/3 + 10/3*c**3 + 2/3*c**4 + 6*c**2 + s*c.
2*(c + 1)**3*(c + 2)/3
Let j(v) = 5*v**5 + 40*v**4 + 135*v**3 + 180*v**2 + 80*v - 5. Let o(a) = -a**4 - a**3 - 1. Let f(p) = j(p) - 5*o(p). Find m, given that f(m) = 0.
-4, -2, -1, 0
Let m = 397/150 - -1/50. Let z = 141 + -139. Factor 4/3*f + 5/3*f**3 - 1/3*f**4 + 0 - m*f**z.
-f*(f - 2)**2*(f - 1)/3
Find s such that 56 - 57 + 7*s - 64*s**2 + 9*s = 0.
1/8
Let t(j) = 5*j**2 - 23*j + 12. Let o(d) = 2*d**2 - 8*d + 4. Let h(q) = -q + 7. Let x be h(0). Let v(z) = x*o(z) - 2*t(z). Factor v(f).
2*(f - 2)*(2*f - 1)
Suppose 0*b + 2*b = 0. Let t(i) be the third derivative of 1/30*i**5 + 1/12*i**4 + b - 1/60*i**6 + 0*i - 2*i**2 - 1/3*i**3. Factor t(x).
-2*(x - 1)**2*(x + 1)
Let f(p) be the second derivative of -p**9/7560 + p**8/1120 - p**7/420 + p**6/360 + p**4/6 + 8*p. Let q(r) be the third derivative of f(r). Factor q(a).
-2*a*(a - 1)**3
Let z be (-1)/5 + 3/5. Let 2/5*f**2 - 4/5 - z*f = 0. What is f?
-1, 2
Let l(m) be the second derivative of 3*m**5/8 + 5*m**4/12 - 5*m**3/12 + m. Determine w, given that l(w) = 0.
-1, 0, 1/3
Let n(q) be the first derivative of q**4/12 - q**2/6 + 12. Determine w so that n(w) = 0.
-1, 0, 1
Let y(b) = -b**3 - 2*b**2 - 3. Sup