d**3 + 0 - 1/42*d**m. Solve o(k) = 0 for k.
-1, 1
Find w such that -6/11*w - 4/11 - 2/11*w**2 = 0.
-2, -1
Let s(f) be the third derivative of 7*f**2 - 1/60*f**5 + 0*f - 1/3*f**3 + 1/8*f**4 + 0. Factor s(j).
-(j - 2)*(j - 1)
Solve 24/11*i**4 + 0*i + 0 + 4/11*i**2 + 18/11*i**3 + 10/11*i**5 = 0.
-1, -2/5, 0
Suppose -135*l**2 - l - 5*l - 2*l**3 + 127*l**2 = 0. Calculate l.
-3, -1, 0
Let r(u) = -u**2 + u. Let d(q) = -45*q**2 + 41*q + 4. Let w(s) = -d(s) + 5*r(s). Find t such that w(t) = 0.
-1/10, 1
Let g(z) be the first derivative of z**4/4 + 2*z**3/3 + z**2/2 - 1. Suppose g(w) = 0. What is w?
-1, 0
Let l(t) = -9*t**3 + 19*t**2 + 9*t - 19. Let r(z) be the first derivative of 3*z**4/4 - 2*z**3 - 3*z**2/2 + 6*z + 8. Let a(h) = -3*l(h) - 8*r(h). Factor a(v).
3*(v - 3)*(v - 1)*(v + 1)
Let b be (2/6)/(3/18). Suppose m + 5*s + 18 = 0, -m - 4*m - s + 6 = 0. Factor 3*g + 15*g**2 - 11*g - 7*g**m - b*g**3.
-2*g*(g - 2)**2
Let p(v) = -15*v**5 + 45*v**3 + 23*v**2 + 7*v. Let r(k) = -10*k**5 + 30*k**3 + 15*k**2 + 5*k. Let l(a) = -5*p(a) + 7*r(a). Factor l(i).
5*i**2*(i - 2)*(i + 1)**2
Let r(t) = -17*t + 357. Let q be r(21). Factor -14/3*i**3 + 0*i + 4/3*i**2 + q.
-2*i**2*(7*i - 2)/3
Let j(n) be the second derivative of 0*n**2 + 0 + 0*n**3 + 3*n - 1/140*n**5 - 1/105*n**6 + 0*n**4 - 1/294*n**7. Factor j(o).
-o**3*(o + 1)**2/7
Let j(r) be the second derivative of r**4/6 + 7*r**3/3 - 8*r**2 + 6*r. Find x, given that j(x) = 0.
-8, 1
Let a(t) be the third derivative of t**6/20 - t**5/6 + t**4/12 + t**3/3 + 11*t**2. Let a(c) = 0. What is c?
-1/3, 1
Let 0 - 1/3*l + 1/6*l**2 = 0. What is l?
0, 2
Let g = -157/276 + 15/23. Let c(v) be the second derivative of -1/10*v**2 + 0 - v + 1/30*v**3 + 3/100*v**5 + g*v**4. Factor c(h).
(h + 1)**2*(3*h - 1)/5
Let i = 796 - 10346/13. Suppose -2/13*c**2 - i*c + 4/13 = 0. What is c?
-2, 1
Factor -1/2*j**2 - 3/2 - 2*j.
-(j + 1)*(j + 3)/2
Let i(t) be the third derivative of -t**6/96 - t**5/48 + 5*t**4/96 + 5*t**3/24 - 11*t**2. Factor i(r).
-5*(r - 1)*(r + 1)**2/4
Let k be (5/2)/((-513)/72). Let q = 1157/114 - k. Determine d so that 9/2*d**4 + 2*d + q*d**3 + 0 + 8*d**2 = 0.
-1, -2/3, 0
Let g(c) = -1. Let d(k) = 3*k**2 + k + 1. Let m(n) = -2*d(n) - 6*g(n). Determine a, given that m(a) = 0.
-1, 2/3
Let f(g) be the first derivative of -g**3/2 - 3*g**2/4 + 5. Factor f(k).
-3*k*(k + 1)/2
Let l(g) be the first derivative of 1/10*g**4 - 1/5*g**2 + 0*g - 3 + 0*g**3. What is a in l(a) = 0?
-1, 0, 1
Let t(a) be the third derivative of a**6/60 - a**4/12 - 4*a**2. Factor t(b).
2*b*(b - 1)*(b + 1)
Let u(g) = g + 16. Let k be u(-12). Suppose 0 = -5*s - 2*q + 27, -2 = -4*s - 4*q + 22. Factor 2*f**k + f**4 - f**s - f**2 - f**5.
-f**2*(f - 1)**2*(2*f + 1)
Let s be -1 - (-1 - 0) - -1. Suppose -k = s - 4. Factor -4*r**k + 72*r - 20*r**2 + 18*r**3 - 40*r**2 - 16.
2*(r - 2)**2*(7*r - 2)
Let f(t) be the second derivative of -2/15*t**6 - 3*t + 0*t**2 + 0 - 3/5*t**5 + 1/3*t**4 + 2*t**3. Factor f(x).
-4*x*(x - 1)*(x + 1)*(x + 3)
Determine d so that -4/11 + 10/11*d + 4/11*d**2 - 10/11*d**3 = 0.
-1, 2/5, 1
Suppose 5*p = -5*m - 4 - 6, -2*m = -3*p + 19. Factor -2*j + j + 4*j + p*j + 3*j**2.
3*j*(j + 2)
Let s(z) be the first derivative of -z**5/20 - 3*z**4/16 - z**3/4 - z**2/8 - 9. Factor s(a).
-a*(a + 1)**3/4
Let b(p) be the second derivative of -1/25*p**5 + 0*p**2 + 0*p**3 + 1/60*p**4 + 0 - 4*p. Factor b(l).
-l**2*(4*l - 1)/5
Let x(h) = 4*h**2 + h - 1. Let q be x(1). Let j(m) be the first derivative of 2 + 0*m**3 - 1/22*m**q - 4/11*m + 3/11*m**2. Let j(l) = 0. Calculate l.
-2, 1
Let c(j) be the first derivative of -15/2*j**2 - 25/6*j**3 - 9/2*j + 1. What is y in c(y) = 0?
-3/5
Determine y so that 2/9*y**2 + 0 - 2/3*y = 0.
0, 3
Suppose 39*u - 14*u = 100. Factor -12/5*t**u - 3/5*t - 2/5 + 7/5*t**5 + 14/5*t**2 - 4/5*t**3.
(t - 1)**3*(t + 1)*(7*t + 2)/5
Let j(o) be the second derivative of -o**6/10 - 9*o**5/20 + o**4/4 + 3*o**3/2 - 9*o. Suppose j(c) = 0. Calculate c.
-3, -1, 0, 1
Let b be (0 - (-4)/(-21))/((-52)/78). Let -2/7*r**2 + 0 + 0*r - 2/7*r**3 + b*r**5 + 2/7*r**4 = 0. Calculate r.
-1, 0, 1
Let -40*k**2 + 7*k**3 + 8*k**3 + 36*k - 10 - k = 0. What is k?
2/3, 1
Let r(u) be the second derivative of u**5/4 + 5*u**4/3 + 5*u**3/6 - 15*u**2 + 19*u - 2. Suppose r(x) = 0. Calculate x.
-3, -2, 1
Let q(i) = -7*i - 3. Let u(x) = -10*x - 4. Let a(r) = 7*q(r) - 5*u(r). Let d be a(4). Factor 0*w - d*w + w - 6*w**2.
-2*w*(3*w + 1)
Let o(u) = 5*u**2 + 3*u - 5. Let k(n) = 4*n**2 + 2*n - 4. Let c(f) = 3*k(f) - 2*o(f). Factor c(g).
2*(g - 1)*(g + 1)
Let v(l) be the third derivative of 4*l**5/105 - l**4/14 - 2*l**3/21 - 13*l**2. Factor v(f).
4*(f - 1)*(4*f + 1)/7
Let f be (1/1)/(-1)*0. Find q, given that 2/3*q**2 + f*q + 0 = 0.
0
What is m in 0 - 1/4*m + 1/2*m**2 - 1/4*m**3 = 0?
0, 1
Let z = -296 + 593/2. Factor -1/2*p + 1/2*p**2 - 1/2 + z*p**3.
(p - 1)*(p + 1)**2/2
Let t(r) be the first derivative of -3*r**4/4 + 3*r**3 + 3*r**2/2 - 9*r + 2. Find l, given that t(l) = 0.
-1, 1, 3
Let n(a) be the second derivative of a**8/4200 + a**7/525 + a**6/180 + a**5/150 - a**3/3 + a. Let t(i) be the second derivative of n(i). Factor t(g).
2*g*(g + 1)**2*(g + 2)/5
Let h = 209/12 + -52/3. Let f(q) be the third derivative of 0 - 1/60*q**6 + 0*q**3 + 1/15*q**5 - h*q**4 + 0*q - q**2. Factor f(r).
-2*r*(r - 1)**2
Let k(f) be the third derivative of f**8/10080 - f**7/420 + f**6/40 - f**5/15 + 2*f**2. Let i(z) be the third derivative of k(z). Suppose i(h) = 0. Calculate h.
3
Let v be 2/4*4*2. Suppose 5*a - 20 = -v*o, -a + 3*o - 7 = 8. Factor -1/3*i**5 + 0*i - 1/3*i**4 + 0*i**3 + a + 0*i**2.
-i**4*(i + 1)/3
Let p(g) be the third derivative of 1/30*g**6 + 1/3*g**4 + 3*g**2 - 13/90*g**5 - 4/9*g**3 - 1/315*g**7 + 0*g + 0. Determine v so that p(v) = 0.
1, 2
Let j(z) = -8*z - 12. Let a be j(-2). Let h(v) be the third derivative of -1/240*v**5 + 0*v + 0 + 1/24*v**3 + 1/480*v**6 - v**2 - 1/96*v**a. Factor h(c).
(c - 1)**2*(c + 1)/4
Let f(r) be the first derivative of -3*r**4/4 + 7*r**3 + 9*r**2 - 18. Let o be -5*(26/(-10) - 1). Let h(m) = m**2 + m. Let b(p) = o*h(p) - f(p). Factor b(x).
3*x**2*(x - 1)
Let v(f) = f**2 + 12*f + 2. Let a be v(-12). Solve -2*h**4 + 3*h**2 - 2*h**5 + 2*h**3 + 0*h**3 + h**a - 2*h**2 = 0.
-1, 0, 1
Let j(c) = -c - 3. Let o be j(-3). Suppose 0*v - 4*v + 12 = o. Factor 1/2*g**4 + 0*g**2 + 0*g + 0 - 1/4*g**5 - 1/4*g**v.
-g**3*(g - 1)**2/4
Factor -10 - 11 + 2*y**4 + 21.
2*y**4
Suppose -3*k = -j - 48, 4*k - k - 4*j = 57. Suppose -t = -6*t + k. Factor -17*f - 6 - t - 6*f**2 + 3 + 2*f.
-3*(f + 2)*(2*f + 1)
Let v(a) be the second derivative of -a**6/10 - a**5/4 - a**4/8 - 5*a**2/2 + 4*a. Let h(s) be the first derivative of v(s). Factor h(x).
-3*x*(x + 1)*(4*x + 1)
Let v(h) be the third derivative of 2/945*h**7 + 0*h + 0 + 0*h**6 - 2*h**2 + 0*h**3 - 1/108*h**4 - 1/135*h**5 + 1/1512*h**8. Suppose v(b) = 0. Calculate b.
-1, 0, 1
Let q(h) = -6 + 4*h**2 + 8*h**2 - 4*h**2 - 8*h. Let a(z) = 2*z**3 + 3*z**2 + z. Let m be a(-2). Let i(s) = -s**2 + s + 1. Let c(t) = m*i(t) - q(t). Factor c(o).
-2*o*(o - 1)
Let j(q) = 28*q**2 - 40*q. Let t(d) = -18*d**2 + 27*d. Let k(x) = 5*j(x) + 8*t(x). Let k(l) = 0. Calculate l.
0, 4
Factor 0 + 0*g**2 + 16/9*g - 4/9*g**3.
-4*g*(g - 2)*(g + 2)/9
Factor -f**5 - 2*f + 16*f**4 - 4*f**2 - 15*f**4 + 3*f**3 + 3*f**2.
-f*(f - 2)*(f - 1)*(f + 1)**2
Let h = 9 - 5. Suppose h*n + 0*n = -16. Let p(j) = -j**4 - j**3 + j**2. Let i(y) = -y**4 - 4*y**3 + 2*y**2 + 2*y - 1. Let q(s) = n*p(s) + 2*i(s). Factor q(m).
2*(m - 1)**3*(m + 1)
Let i = -1208/3 + 403. Let 0 - i*f**2 + 1/3*f**4 - 1/3*f**3 + 1/3*f = 0. Calculate f.
-1, 0, 1
Let b = -26/3 - -9. Factor 0 - b*f**4 + 0*f - 2/3*f**3 - 1/3*f**2.
-f**2*(f + 1)**2/3
Let d(x) be the second derivative of 3*x**6/80 - x**5/6 + 13*x**4/48 - x**3/6 + 2*x**2 + 2*x. Let w(c) be the first derivative of d(c). Let w(m) = 0. What is m?
2/9, 1
Let g be (4/24*(-96)/(-18))/2. Solve 0 + g*d + 2/9*d**2 = 0 for d.
-2, 0
Let z(m) be the first derivative of -m**2/2 + 9*m + 6. Let k be z(7). Solve 0 + 1/2*s**k + s = 0 for s.
-2, 0
Let v be -2*-6*4/16. Let u = v - 3. Factor 1/4*q**3 + u + 0*q**2 + 0*q.
q**3/4
Let y(m) be the third derivative of 0 - 1/60*m**5 + 1/3*m**3 + 5*m**2 + 0*m - 1/24*m**4. Factor y(d).
-(d - 1)*(d + 2)
Let v(g) = 8*g**2 + 2*g + 1. Let n