d + 2)/2
Let j(c) = 6*c**3 - 6*c**2 + 4*c + 8. Let p(q) = -5*q**3 + 6*q**2 - 3*q - 8. Let n(u) = -3*j(u) - 4*p(u). Determine y so that n(y) = 0.
-1, 2
Let j(m) be the third derivative of 0 - 1/6*m**4 + 0*m + 1/30*m**5 + 1/3*m**3 + 3*m**2. Determine u so that j(u) = 0.
1
Let l(b) = -b**2 + 1. Let u(c) = -1 - 2*c**2 + 6 + 2*c**3 - c**3 + 2*c. Let t(y) = 15*l(y) - 3*u(y). Suppose t(k) = 0. Calculate k.
-2, -1, 0
Let m = 24 + -68/3. Solve -5/3*a - 2/3 - 1/3*a**3 - m*a**2 = 0.
-2, -1
Factor -8*n**4 - n**3 - 25*n**2 + 12*n**2 - n**3 + 17*n**2 + 6*n**5.
2*n**2*(n - 1)**2*(3*n + 2)
Let x be (1/(-3))/(2/(-3))*0. Factor x + 2/3*f**2 + f**3 - 1/3*f.
f*(f + 1)*(3*f - 1)/3
Let v(l) be the third derivative of -l**7/168 - l**6/48 + 5*l**4/48 + 5*l**3/24 - 11*l**2. Suppose v(y) = 0. What is y?
-1, 1
Let m(y) be the first derivative of 2*y**5/5 + 13*y**4/8 + 5*y**3/2 + 7*y**2/4 + y/2 + 3. Find w, given that m(w) = 0.
-1, -1/4
Factor -4*k**3 - 11*k**2 - 4*k**2 - 1 - 15*k - 4 - k**3.
-5*(k + 1)**3
Let z(n) be the third derivative of -n**4/24 - n**3/6 + 2*n**2. Let s(u) = 2*u**2 - 20*u - 4. Let y(g) = -s(g) + 12*z(g). Factor y(v).
-2*(v - 2)**2
Suppose 121 - 112 = 3*x. Find p, given that -p + 1/3*p**x + 0*p**2 - 2/3 = 0.
-1, 2
Let z(k) be the first derivative of k**5/240 - k**4/96 - 3*k**2 + 4. Let d(v) be the second derivative of z(v). Factor d(u).
u*(u - 1)/4
Let r(s) be the second derivative of -s**6/15 - 6*s**5/25 - 2*s**4/15 + 21*s. What is x in r(x) = 0?
-2, -2/5, 0
Let c be (-56)/18*(-36)/48. Determine w so that -2/3 + c*w**2 - 5/3*w = 0.
-2/7, 1
Let g be (-329)/(-35) + (-2)/5. Factor -6 - 12*p + 18*p + 6*p**2 + 3*p**3 - g*p.
3*(p - 1)*(p + 1)*(p + 2)
Let o be (-4)/(-16)*1*34. Let -o*u**3 + 21/2*u**2 + 5/2*u**4 + 1 - 11/2*u = 0. Calculate u.
2/5, 1
Let n(t) = 3*t**5 + t**4 - 3*t**3 - 3*t**2 + 2*t. Let f(y) = 3*y**5 - 3*y**3 - 3*y**2 + 3*y. Let q(a) = -2*f(a) + 3*n(a). Factor q(k).
3*k**2*(k - 1)*(k + 1)**2
Let w = -4332 - -36916/9. Let a = -230 - w. Factor -a + 2/9*h + 4/9*h**2.
2*(h + 1)*(2*h - 1)/9
Determine q, given that -7 + 3*q**2 - 3*q**3 + 0*q**2 + 4 + 3*q = 0.
-1, 1
Suppose l = -3*l - 2*g + 20, -l = -4*g + 13. Let x(p) be the first derivative of -1/3*p**2 - 1/9*p**l - 1/3*p - 2. Factor x(c).
-(c + 1)**2/3
Let y be ((-7)/((-42)/(-9)))/((-2)/4). Let k(q) be the third derivative of 0*q + q**2 + 0*q**y + 1/240*q**6 + 0 + 1/120*q**5 + 0*q**4. Factor k(x).
x**2*(x + 1)/2
Determine l, given that -1/3*l**2 + 2/3*l + 0 = 0.
0, 2
Let h(d) be the third derivative of d**8/80640 - d**7/10080 + d**5/30 + 6*d**2. Let o(s) be the third derivative of h(s). Solve o(v) = 0 for v.
0, 2
Find a such that 101*a - 8 + a**3 - 3*a**2 + 5*a**2 - 105*a = 0.
-2, 2
Let q = 2899/15 + -963/5. Let -2/3*f**2 + 2/3*f + q - 2/3*f**3 = 0. What is f?
-1, 1
Suppose 0 = -3*t + 4*q + 15, -t - 3 - 2 = 2*q. Let c be (-2 + 2)*(-2 + t). Factor -j + 3*j**4 + 0*j**3 + c*j + 5*j**2 - 7*j**3.
j*(j - 1)**2*(3*j - 1)
Let b(j) be the second derivative of 0 + 0*j**2 - 1/24*j**7 + 0*j**4 - j + 0*j**3 + 1/24*j**6 + 1/40*j**5. Factor b(y).
-y**3*(y - 1)*(7*y + 2)/4
Factor -3/8*s - 3/8*s**2 + 3/4.
-3*(s - 1)*(s + 2)/8
Determine m, given that -2*m**4 - 2*m**4 + 3*m**2 + m**4 - 2*m + m**3 + 0*m**3 + m**5 = 0.
-1, 0, 1, 2
Let u(j) be the first derivative of -2 + 0*j**2 + 1/6*j**6 - 1/4*j**4 + 0*j**3 + 0*j + 0*j**5. Find z such that u(z) = 0.
-1, 0, 1
Let x(t) be the third derivative of -1/20*t**5 + 0*t + 1/20*t**6 + 0*t**4 - 1/70*t**7 + 2*t**2 + 0 + 0*t**3. Determine i so that x(i) = 0.
0, 1
Suppose -14/11*h**5 + 0 + 18/11*h**3 - 10/11*h**4 - 4/11*h + 10/11*h**2 = 0. What is h?
-1, 0, 2/7, 1
Let z(j) be the first derivative of -1 - 4*j + 2*j**2 - 1/3*j**3. Factor z(i).
-(i - 2)**2
Let m(y) be the third derivative of -y**5/20 - 11*y**4/4 - 121*y**3/2 + 36*y**2. Factor m(f).
-3*(f + 11)**2
Let v(x) be the second derivative of -x**5/20 + x**4/6 + 2*x**3/3 + x**2/2 + 3*x. Let z(l) be the first derivative of v(l). Factor z(j).
-(j - 2)*(3*j + 2)
Let g = -7 + 11. Suppose 2*b**4 - g*b + 4*b**3 - 2 + 2*b**2 - 5*b**2 + 3*b**2 = 0. Calculate b.
-1, 1
Let n(c) be the second derivative of -c**7/14 + c**6/10 + 3*c**5/20 - c**4/4 + 6*c. Solve n(v) = 0 for v.
-1, 0, 1
Let i(t) be the first derivative of t**4/26 - 4*t**3/39 - t**2/13 + 4*t/13 + 2. Suppose i(h) = 0. Calculate h.
-1, 1, 2
Let f(p) be the second derivative of 12/5*p**5 + 10/3*p**4 + 2/21*p**7 + 4/5*p**6 + 6*p + 0 + 0*p**2 + 2*p**3. Let f(t) = 0. What is t?
-3, -1, 0
Let u(i) = 3 + 2*i - i - 2 + 1 - i**3 + i**2. Let z be u(2). Find h, given that -2/3*h**3 + 0 + z*h - 2/3*h**2 = 0.
-1, 0
Factor 0 - 1/6*t**2 - 1/6*t**3 + 0*t.
-t**2*(t + 1)/6
Suppose 7*b + 32 = 5*i + 3*b, -i + 3*b + 13 = 0. Factor 2 + 4 - 12*y + 2 + i*y**2.
4*(y - 2)*(y - 1)
Let i(y) be the first derivative of 4/5*y**5 + 2/9*y**6 + 0*y + 4/9*y**3 + y**4 + 8 + 0*y**2. Suppose i(j) = 0. What is j?
-1, 0
Let z(k) = k**2 - k + 1. Let s(c) = 4*c**2 - 14*c - 2. Let p be 33/5 + (-45)/75. Let g(x) = p*z(x) - s(x). Factor g(y).
2*(y + 2)**2
Suppose -y = 5*a - 10, -2*a - 4*y + 1 = -3*y. Suppose a*i = 7*i + 5*u - 13, -i = -u - 1. Factor -4/3 - i*c**2 + 10/3*c.
-2*(c - 1)*(3*c - 2)/3
Find a, given that -72/7*a**2 + 96/7*a - 3/7*a**4 + 24/7*a**3 - 48/7 = 0.
2
Let d(g) be the second derivative of 5*g**7/42 + 4*g**6/3 + 11*g**5/2 + 10*g**4 + 15*g**3/2 - 7*g. Solve d(q) = 0 for q.
-3, -1, 0
Let l(a) be the third derivative of -a**7/945 - a**6/270 + a**5/270 + a**4/54 - 12*a**2. Find o, given that l(o) = 0.
-2, -1, 0, 1
Let b(z) be the first derivative of z**6/54 - z**5/45 - z**4/12 + 5*z**3/27 - z**2/9 - 7. Factor b(j).
j*(j - 1)**3*(j + 2)/9
Suppose 3*u - 5 = -4*h, -4 = -3*u - 7. Suppose 14*l - 25 = 12*l + 5*k, -3*k = -5*l + 15. Factor 1/3*j**h - 1/3 + l*j.
(j - 1)*(j + 1)/3
Suppose -39*m = -38*m - 4. Let q(a) be the second derivative of 2*a + 0*a**2 + 0 + 1/42*a**m + 2/21*a**3. Factor q(g).
2*g*(g + 2)/7
Let m(s) be the second derivative of -s**7/168 - s**6/120 + s**5/40 + s**4/24 - s**3/24 - s**2/8 - s. Let m(r) = 0. Calculate r.
-1, 1
Let d = 11251/30 + -375. Let o(p) be the third derivative of 0*p**3 - 1/30*p**6 + 1/105*p**7 + d*p**5 + 0 + 0*p + 0*p**4 - p**2. Factor o(x).
2*x**2*(x - 1)**2
Let q(i) = -i - 2. Let r be q(-2). Factor r - b**3 - b + 3*b**3 - b**4 - 1 + 2*b**2 - b**5.
-(b - 1)**2*(b + 1)**3
Let o(r) be the second derivative of r**7/1365 - r**6/780 - r**5/780 + 7*r**3/6 + r. Let k(v) be the second derivative of o(v). Factor k(a).
2*a*(a - 1)*(4*a + 1)/13
Factor -67*a**3 + 34*a**3 + 5*a**4 - 15*a**2 + 10*a + 33*a**3.
5*a*(a - 1)**2*(a + 2)
Factor -6/5*s**2 + 6/5 - 24/5*s + 24/5*s**3.
6*(s - 1)*(s + 1)*(4*s - 1)/5
Solve 0*j**2 + 0 + 2*j**4 - 8/3*j + 14/3*j**3 = 0 for j.
-2, -1, 0, 2/3
Suppose -29*d - 22*d = 0. Determine f so that d*f - 1/2*f**2 + 1/2 = 0.
-1, 1
Let z(v) be the second derivative of v**7/1680 + v**6/720 + v**3/6 + 3*v. Let b(i) be the second derivative of z(i). Let b(o) = 0. What is o?
-1, 0
Let i(w) be the second derivative of -w**4/12 + 5*w**3/18 + w**2/3 - 6*w. Find n, given that i(n) = 0.
-1/3, 2
Suppose 0 = 7*m - 5*m - 24. Suppose 3*l + 15 = 5*b, 4*b = -2*l - l + m. What is g in 1/4*g**4 - 1/4*g**2 + 0*g**b + 0*g + 0 = 0?
-1, 0, 1
Suppose 0 = 3*w + 3. Let n be (w/(-12))/((-9)/(-24)). Solve 0 + 0*v**2 - n*v**4 - 2/9*v**3 + 0*v = 0 for v.
-1, 0
Let o = -26 - -27. Let j be (-45)/297 + o/3. Factor 4/11*n + 0 - 2/11*n**3 - j*n**2.
-2*n*(n - 1)*(n + 2)/11
Let k(z) be the first derivative of 2 + 0*z**3 + 0*z**2 + 1/20*z**5 - 1/10*z**6 - 2*z + 1/18*z**4. Let l(s) be the first derivative of k(s). Factor l(c).
-c**2*(3*c - 2)*(3*c + 1)/3
Factor -5/4*j**2 + 5 - 15/4*j.
-5*(j - 1)*(j + 4)/4
Let a(m) be the second derivative of -m**8/2800 - m**7/700 + m**6/600 + m**5/100 - m**3 + 3*m. Let d(v) be the second derivative of a(v). Solve d(f) = 0 for f.
-2, -1, 0, 1
Let m be (-3 - -7) + -3 + -1. Let t(v) be the first derivative of -3 + 2/21*v**3 + m*v**4 + 0*v + 0*v**2 - 2/35*v**5. Factor t(i).
-2*i**2*(i - 1)*(i + 1)/7
Let f(h) be the first derivative of -3/20*h**5 + 1/6*h**3 - 1/4*h**4 - 3 + 1/2*h**2 + 1/4*h. Let f(z) = 0. What is z?
-1, -1/3, 1
Let h(a) be the second derivative of a**5/60 - a**4/12 - a**3/18 + a**2/2 - 2*a. Factor h(f).
(f - 3)*(f - 1)*(f + 1)/3
Let p(o) be the second de