 - 126/11*m + 30/11*m**2 = 0. Calculate m.
1, 7
Let v(c) be the first derivative of 1 - 2/3*c**3 - c**2 + 0*c. Find i such that v(i) = 0.
-1, 0
Let i(t) be the second derivative of -t**4/12 + t**2/2 + 32*t. Let i(y) = 0. What is y?
-1, 1
Let l(v) be the second derivative of v**6/360 + 5*v**3/3 - 10*v. Let u(c) be the second derivative of l(c). Find p, given that u(p) = 0.
0
Let r be 68/187 + 224/110. Find o, given that -12/5*o - 3/5*o**2 - r = 0.
-2
Let 16/7*i + 2/7*i**4 - 8/7*i**2 + 2/7*i**5 - 12/7*i**3 + 0 = 0. Calculate i.
-2, 0, 1, 2
Suppose 0 = -2*a + 2*m + 4, 7*m = -a + 3*m + 12. Factor 8*l**3 + a*l**2 - 3*l**4 - 4*l**5 - l**4 - 4*l**3.
-4*l**2*(l - 1)*(l + 1)**2
Factor 4/5 + 1/5*s**2 + 4/5*s.
(s + 2)**2/5
Suppose -1 = -2*x + 5. Let y = x + 0. Factor -3*p - p**3 + 2*p**y + 2*p.
p*(p - 1)*(p + 1)
Suppose -7*q - 30 = -12*q. Find m, given that -3*m**3 + 9/2*m**5 - q*m**2 - 3/2*m + 6*m**4 + 0 = 0.
-1, -1/3, 0, 1
Let -15*j**2 - 4*j + 0 + 5*j**3 - j + 10 + 5*j**4 = 0. Calculate j.
-2, -1, 1
Let w(c) be the third derivative of 1/525*c**7 + 0*c**4 + 1/75*c**5 + 0 - 2*c**2 + 0*c**3 + 0*c + 1/100*c**6. Factor w(o).
2*o**2*(o + 1)*(o + 2)/5
Let y(a) be the first derivative of 2*a**3/5 + 2*a**2/5 - 2*a/5 - 28. Determine q so that y(q) = 0.
-1, 1/3
Let d(s) = -9*s**2 - 4*s. Let c(f) be the third derivative of -f**5/30 - f**4/24 - 3*f**2. Let x(a) = -26*c(a) + 6*d(a). Factor x(b).
-2*b*(b - 1)
Let q(v) be the third derivative of -11*v**6/24 + 61*v**5/30 - 5*v**4/6 - 4*v**3/3 - 29*v**2. What is p in q(p) = 0?
-2/11, 2/5, 2
Let t = 29 - 21. Let p = -6 + t. Factor -1 + b**2 - b - 1 + 1 + b**p.
(b - 1)*(2*b + 1)
Suppose 7 = 3*x - 2. Determine q so that 8 + 2*q**x - 8 - 2*q**2 = 0.
0, 1
Let l(y) be the third derivative of -y**6/300 + y**5/75 - y**4/60 - 6*y**2. Factor l(z).
-2*z*(z - 1)**2/5
Let k(m) be the first derivative of m**6/720 - m**3 + 2. Let x(c) be the third derivative of k(c). Factor x(q).
q**2/2
Let f(u) be the first derivative of -u**2 - 1/6*u**4 - 2/3*u**3 - 2/3*u - 2. Factor f(i).
-2*(i + 1)**3/3
Let b(q) = -6*q**3 - q**2 + 3*q - 3. Let y(w) = 6*w**3 + 2*w**2 - 2*w + 2. Let o(s) = -s**2 + 1. Let h be o(-2). Let r(l) = h*y(l) - 2*b(l). Factor r(v).
-2*v**2*(3*v + 2)
Let a be 40/7 + 2/7. Let n be 2*a*(-4)/(-12). Factor 0 + k**3 + n - 3*k**2 + 0*k**3.
(k - 2)**2*(k + 1)
Factor -14*o**3 + 10*o**3 + 3*o**3 - 3*o**2 + o**4 + 5*o - 2.
(o - 1)**3*(o + 2)
Find s, given that -22*s - 29*s - 10*s + 24 - 20*s**2 + 9*s = 0.
-3, 2/5
Suppose 2*w + 2 = 6. Let g be (-33)/(-12) + w/8. Let 4/7*m**4 + 2/7*m**g + 2/7*m**5 + 0*m**2 + 0*m + 0 = 0. Calculate m.
-1, 0
Let 22 - 21*y - 41 + 3*y**3 + 37 = 0. Calculate y.
-3, 1, 2
Let t be (282/12)/((-2)/4). Let s = -187/4 - t. Factor 0*z + 0 - s*z**2.
-z**2/4
Let s(z) = -z - z**3 + 3*z**2 + 0 - 2*z**2 - z**4 - 1. Let b(j) = -j**2 - j - 1. Let l(v) = b(v) - s(v). Find o, given that l(o) = 0.
-2, 0, 1
Factor -2/7 + 9/7*k + 2*k**3 - 16/7*k**2 + 1/7*k**5 - 6/7*k**4.
(k - 2)*(k - 1)**4/7
Let r = -9 + 9. Let z(d) be the first derivative of 0*d**2 - 1/9*d**3 + 1/12*d**4 - 2 + r*d. Let z(i) = 0. Calculate i.
0, 1
Let z(n) = 5 + n - 4*n + n**2 - 3*n. Let j be z(5). What is u in 4/5*u**2 - 2/5*u**3 + j - 2/5*u = 0?
0, 1
Let f(b) be the third derivative of -1/120*b**5 + 0*b + 1/720*b**6 + 2*b**2 + 0 + 1/3*b**3 + 1/48*b**4. Let n(d) be the first derivative of f(d). Factor n(r).
(r - 1)**2/2
Suppose 0 = 3*g - 15, 4*g = 5*d - g - 330. Let a = -353/5 + d. Factor 0*x**3 + 2/5*x**4 - 4/5*x**2 + a + 0*x.
2*(x - 1)**2*(x + 1)**2/5
Suppose 2*z = 7*z + x - 12, z = -5*x + 12. Factor 0*t**z + 3/4*t**3 - t - 1/4*t**4 + 0.
-t*(t - 2)**2*(t + 1)/4
Let m(i) be the first derivative of -i**5/30 + i**4/48 + i**2 - 1. Let o(d) be the second derivative of m(d). Find a such that o(a) = 0.
0, 1/4
Let s(x) be the second derivative of -x**6/225 + 2*x**5/75 - x**4/15 + 4*x**3/45 - x**2/15 - 7*x. Factor s(y).
-2*(y - 1)**4/15
Let t(k) be the second derivative of 3*k**2 - 4*k**4 + 6*k - 5/2*k**3 + 0 - 27/20*k**5. Factor t(d).
-3*(d + 1)**2*(9*d - 2)
Let m = -3 - -6. Factor -3*q**5 + q**3 + 14*q**2 - 2*q**m - 16*q**2 + 8*q**4 - 2*q**5.
-q**2*(q - 1)**2*(5*q + 2)
Let h = 34/69 - -4/23. Let 0 + 2*o**2 - 4/3*o - h*o**3 = 0. What is o?
0, 1, 2
Suppose 12 = 4*o - 0. Suppose 3*t = -t + 4, k - o*t = -1. Factor 1/3 - 1/3*f - 1/3*f**k + 1/3*f**3.
(f - 1)**2*(f + 1)/3
Let p(w) = -w**3 - 3*w**2 - 4*w - 2. Let r be p(-1). Factor -12/5*k**3 + 4/5*k + r + 2/5*k**2.
-2*k*(2*k + 1)*(3*k - 2)/5
Let u be (3/(-2))/((-126)/168). Factor 1/4*i**u + 1/4 - 1/2*i.
(i - 1)**2/4
Let d(c) be the first derivative of -c**3/8 + 3*c**2/16 + 1. Let d(b) = 0. What is b?
0, 1
Let d be (-3)/(-5) - 12/20. Suppose -3*l + d*t - 5*t + 32 = 0, 0 = 3*l - 3*t. Let 0*b**l - 3*b**4 - 4 + 4 + b**3 = 0. What is b?
0, 1/3
Let c = 10 - 8. Suppose 9 - 1 = 4*d. Suppose 0*w**2 + w**d - w - 2*w**c + 0*w = 0. What is w?
-1, 0
Determine z so that 1 + 62*z**2 - 3*z - 65*z**2 - 1 = 0.
-1, 0
Let v(d) be the second derivative of d**5/5 + d**4/3 - 2*d**3/3 - 2*d**2 + 3*d. Factor v(q).
4*(q - 1)*(q + 1)**2
Let z(l) be the second derivative of 7*l**7/6 - 7*l**6/10 - 6*l**5/5 - l**4/3 + 9*l. Factor z(h).
h**2*(h - 1)*(7*h + 2)**2
Let t(b) be the second derivative of -b**7/5040 - b**6/720 - b**5/240 + b**4/12 + b. Let x(j) be the third derivative of t(j). Factor x(z).
-(z + 1)**2/2
Let p(m) be the first derivative of m**7/2100 + m**6/450 + m**5/300 + 4*m**3/3 + 3. Let b(h) be the third derivative of p(h). Suppose b(y) = 0. What is y?
-1, 0
Let x(w) be the second derivative of -w**5/110 - w**4/66 + 2*w**3/33 + 36*w. Determine j so that x(j) = 0.
-2, 0, 1
Let t(p) be the first derivative of 8*p**2 + 0*p - 16/3*p**3 + 5 + 4/5*p**5 - p**4. Let t(d) = 0. What is d?
-2, 0, 1, 2
Let n(v) be the first derivative of v**6/720 + v**5/40 + 3*v**4/16 + v**3 - 6. Let c(j) be the third derivative of n(j). Find l such that c(l) = 0.
-3
Let f(q) be the first derivative of -q**8/840 + q**6/90 - q**4/12 - q**3 - 3. Let o(d) be the third derivative of f(d). Determine r so that o(r) = 0.
-1, 1
Factor 10*c + 32/3 - 2/3*c**2.
-2*(c - 16)*(c + 1)/3
Suppose 12*f - 18 = 6. Factor 0 + 0*u**f + 2*u**5 - 6/5*u**4 + 0*u - 4/5*u**3.
2*u**3*(u - 1)*(5*u + 2)/5
Let w(h) be the third derivative of 0 - 6*h**2 + 0*h + 0*h**4 + 0*h**3 + 1/60*h**5. Factor w(n).
n**2
Factor -u**2 + 9*u + 4 - u**3 - 7*u - u - 3.
-(u - 1)*(u + 1)**2
Let i(v) be the first derivative of -v**4/24 - 2*v**3/9 - 5*v**2/12 - v/3 - 4. Suppose i(q) = 0. Calculate q.
-2, -1
Let n(x) be the first derivative of -2*x**5/5 - 3*x**4/2 - 4*x**3/3 - 21. Factor n(v).
-2*v**2*(v + 1)*(v + 2)
Solve 0*d**4 + 1/2*d**5 - d**3 + 0*d**2 + 1/2*d + 0 = 0.
-1, 0, 1
Factor 9*x**5 + 16*x**5 - 24*x**5 + 9*x**3 - 5*x**4 - x**4.
x**3*(x - 3)**2
Let n(u) be the third derivative of 13*u**6/540 - 11*u**5/270 - u**4/54 - 3*u**2. Solve n(x) = 0 for x.
-2/13, 0, 1
Let t(a) be the first derivative of a**5/15 - a**4/12 - a**3/3 + a**2/6 + 2*a/3 - 50. Find z, given that t(z) = 0.
-1, 1, 2
Let q(d) be the third derivative of -5*d**8/2688 + d**7/840 + d**6/192 - d**5/240 - 21*d**2. Find a such that q(a) = 0.
-1, 0, 2/5, 1
Suppose -9*g - 155 + 173 = 0. Let t = 226 + -2480/11. Suppose -2/11*m**g - 2/11 + 4/11*m**4 - 6/11*m + t*m**3 = 0. What is m?
-1, -1/2, 1
Suppose 3*r = -2*r - 5*k + 25, -12 = -4*k. Factor 2/3*h**r + 0 - 2/3*h**4 + 0*h + 0*h**3.
-2*h**2*(h - 1)*(h + 1)/3
Suppose -2*n = -3*n. Suppose 5 = -16*l + 17*l. Factor n + 2/5*r**4 + 2/5*r**l + 0*r - 2/5*r**3 - 2/5*r**2.
2*r**2*(r - 1)*(r + 1)**2/5
Let b be -1 + 136/60 + 3/(-5). Let b*o + 2/3*o**2 - 4/3 = 0. Calculate o.
-2, 1
Let x(b) be the first derivative of b**6/105 + 3*b**5/70 + b**4/14 + b**3/21 + 6*b + 3. Let n(r) be the first derivative of x(r). Factor n(m).
2*m*(m + 1)**3/7
Suppose 4 - 73 = -j. Factor -42*v - 21*v**2 + 0*v**2 - 6 + j*v.
-3*(v - 1)*(7*v - 2)
Factor 3*i**5 + 3*i**5 + 16*i - 6*i**3 - 3*i**5 - 13*i.
3*i*(i - 1)**2*(i + 1)**2
Let -3 - l**2 + l**2 - 2*l + 2*l**3 - l**4 + 4 = 0. Calculate l.
-1, 1
Let t be (-9)/(-108) + (-2)/32*-4. Suppose -2/3*m - 1/3 - t*m**2 = 0. Calculate m.
-1
Let t = 9 - 5. Suppose t = -f + 3*f. Factor 12 - 2*k**f - 2*k - 12.
-2*k*(k + 1)
Suppose 3*w = 2*w - 4*z - 16, 0 = z + 4. Suppose 0 = d - w*d. Factor 1/3*j**3 - 1