0*z.
3*(z + 3)*(3*z - 2)
Find x, given that -3/2*x**2 + 6*x - 6 = 0.
2
Suppose -22*x = -18*x + 396. Let f = -96 - x. Let 3*y**4 + 46/3*y**2 - 10*y**3 - 11*y + f - 1/3*y**5 = 0. What is y?
1, 3
Let y(a) be the second derivative of -a**6/75 - 2*a**5/25 - a**4/6 - 2*a**3/15 - 7*a + 4. Factor y(x).
-2*x*(x + 1)**2*(x + 2)/5
Suppose 1/6*y**3 + 20*y - 23/6*y**2 + 24 = 0. Calculate y.
-1, 12
Let j be 3 - (-17 + 3 + 15). Factor 1/3*b**j + 0*b + 0 + 1/3*b**3.
b**2*(b + 1)/3
Let n(k) be the first derivative of k**2 + 1/6*k**6 + 23 - 3/4*k**4 + 1/3*k**3 - 1/5*k**5 + 0*k. Find j such that n(j) = 0.
-1, 0, 1, 2
Suppose 0*j - 3 + 1/3*j**2 = 0. What is j?
-3, 3
Let t(h) = -4*h**5 + 4*h**4 + 9*h**3 - 14*h**2 + 14*h - 6. Let f = -26 + 28. Let z(l) = -l**5 + l**4 + l**3 + l - 1. Let i(y) = f*t(y) - 6*z(y). Factor i(o).
-2*(o - 1)**4*(o + 3)
Solve 35/3*u**3 + 83/3*u**2 + 37/3*u + 4/3*u**4 - 5 = 0 for u.
-5, -3, -1, 1/4
Let f(m) = 9*m**3 - 10*m**2 - 29*m - 4. Let o(y) = 17*y**3 - 20*y**2 - 57*y - 9. Let u = 12 + -6. Let k(x) = u*o(x) - 11*f(x). Factor k(s).
(s - 5)*(s + 1)*(3*s + 2)
Let s(l) = 23*l**3 - 30*l**2 - 95*l - 59. Let q(u) = -4*u**3 + 5*u**2 + 16*u + 10. Let h(k) = -34*q(k) - 6*s(k). Factor h(f).
-2*(f - 7)*(f + 1)**2
Let g(o) be the third derivative of -o**7/105 - o**6/60 + o**5/30 + o**4/12 - 5*o**2 - 1. Suppose g(l) = 0. Calculate l.
-1, 0, 1
Suppose 54*v = 30*v + 48. Factor -2/7*c**3 - 10/7*c + 4/7 + 8/7*c**v.
-2*(c - 2)*(c - 1)**2/7
Let o be 1/10*(-20 - -9 - -35). Let q be 0 + (18/(-15) - -2). Solve q + 4/5*g**3 + 12/5*g + o*g**2 = 0 for g.
-1
Let a(t) be the third derivative of 1/420*t**5 + 0 + 0*t**4 + 1/735*t**7 + 0*t + 1/280*t**6 + 21*t**2 + 0*t**3. Solve a(u) = 0.
-1, -1/2, 0
Let 0*c - 2/3*c**5 + 0 + 8/3*c**4 - 8/3*c**2 + 2/3*c**3 = 0. What is c?
-1, 0, 1, 4
Let c(d) be the first derivative of d**6/40 + d**5/10 + d**4/8 - 4*d**2 + 11. Let v(x) be the second derivative of c(x). Determine u so that v(u) = 0.
-1, 0
Let a = -9111 - -45559/5. Factor -4/5*n**2 + 4/5*n - a*n**3 + 4/5.
-4*(n - 1)*(n + 1)**2/5
Suppose -h + 12 + 0 = 0. Let b(n) = 14*n**4 - 6*n**3 + 6*n**2 - 2*n + 12. Let u(x) = x**4 + 1. Let j(l) = h*u(l) - b(l). Let j(w) = 0. Calculate w.
0, 1
Suppose -34 - 98 = -2*y. Let b be (-18)/28 + y/44. Suppose 2/7*g + b*g**3 + 6/7*g**2 + 2/7*g**4 + 0 = 0. What is g?
-1, 0
Let m(x) be the first derivative of 2/3*x**3 + 2 + 1/10*x**6 - 1/2*x**5 - 6*x - 2*x**2 + 7/12*x**4. Let v(d) be the first derivative of m(d). Factor v(n).
(n - 2)*(n - 1)**2*(3*n + 2)
Let t(p) = p**3 + 2*p**2 - 4*p - 3. Let w be t(-5). Let a be (-16)/72 - w/18. Find k, given that 4*k**3 - 4*k**5 - 8*k**a + 4*k**3 = 0.
0
Let p be 8*2/4*1. Suppose -5*t = -t + 3*d - 9, -1 = -2*t - 5*d. Suppose -5/2*n**5 - 7/2*n**t + 4 + 6*n - 13*n**2 + 9*n**p = 0. Calculate n.
-1, -2/5, 1, 2
Let y(u) be the first derivative of u**6/40 - 3*u**4/8 - u**3 - 16*u**2 + 1. Let d(i) be the second derivative of y(i). Factor d(p).
3*(p - 2)*(p + 1)**2
Let v = 85 - 339/4. Suppose 5 = -t + 7. Find r, given that v*r**t - 1/2 - 1/4*r = 0.
-1, 2
Factor o**3 + 0*o**3 - 4*o**3 + 24 - 7 + 24*o + 19 - 15*o**2.
-3*(o - 2)*(o + 1)*(o + 6)
Let b = 13 - -8. Let 2*d**3 - b*d**2 + 6*d + d**3 - 9*d**5 + 32*d**4 - 11*d**4 = 0. Calculate d.
-1, 0, 1/3, 1, 2
Let a(y) = -y**2 + 4*y + 1. Let p be a(4). Let j be (p/2)/(12/48). What is w in 5*w - 14 + 0*w**2 - w**j - 2 + 3*w = 0?
4
Let s = 49493/360 - 481/72. Let c = s - 130. Factor -12/5*i + 8/5 + c*i**2.
4*(i - 2)*(i - 1)/5
Let s(d) = -d**3 + 20*d**2 + 28*d - 558. Let n be s(20). Factor -4/17*a + 0 + 6/17*a**n - 2/17*a**3.
-2*a*(a - 2)*(a - 1)/17
Factor 172 + 16*j + 6*j**4 - 3*j**2 + 9*j**3 - 175 - 25*j.
3*(j - 1)*(j + 1)**2*(2*j + 1)
Let o(t) be the third derivative of t**7/70 + 8*t**6/5 + 384*t**5/5 + 2048*t**4 + 32768*t**3 - 43*t**2. Solve o(h) = 0 for h.
-16
Let n(z) = 9*z**4 - 50*z**3 + z**2 + 66*z. Let s(a) = 2*a**4 - 12*a**3 + 16*a. Let t(j) = 6*n(j) - 26*s(j). Factor t(w).
2*w*(w - 1)*(w + 2)*(w + 5)
Factor -1/4*s**2 - 3/4*s - 1/2.
-(s + 1)*(s + 2)/4
Factor 42*n**2 - 32*n + 81 - 26 - 2*n**4 + 6*n**4 - 20 - 22*n**3 - 27.
2*(n - 2)**2*(n - 1)*(2*n - 1)
Let x = -1322 - -5289/4. Factor 0*s**2 + 0 + x*s**3 - 1/4*s.
s*(s - 1)*(s + 1)/4
Let j(h) be the third derivative of -h**5/360 - 5*h**4/72 - h**3/4 - h**2 + 3. Factor j(v).
-(v + 1)*(v + 9)/6
Factor 2/9*q**3 + 16/9 - 16/9*q**2 - 2/9*q.
2*(q - 8)*(q - 1)*(q + 1)/9
Let j = 20 - 20. Suppose 0*d + d - 3 = j. Solve -1 + 3 + 4*u**2 + 2*u**d + 0*u**3 - 3*u**3 - 5*u = 0.
1, 2
Let z(p) be the second derivative of 3*p**5/160 + p**4/8 + p**3/4 - 78*p. Factor z(s).
3*s*(s + 2)**2/8
Let s be (18/150)/(6/(-10) + 1). Let h(l) be the first derivative of -1/5*l + 8 + 3/25*l**5 - s*l**2 + 1/30*l**6 - 2/15*l**3 + 1/10*l**4. Factor h(y).
(y - 1)*(y + 1)**4/5
Let x(n) be the first derivative of -2*n**3/3 - 10*n**2 - 50*n + 186. Factor x(u).
-2*(u + 5)**2
Solve 240/7*x**2 + 3600/7*x - 8/7*x**4 + 0 - 236/7*x**3 + 4/7*x**5 = 0 for x.
-5, 0, 6
Let o(u) be the second derivative of -80/3*u**3 + 0 + 64*u**2 + 30*u + 17/6*u**4 - 1/10*u**5. Let o(d) = 0. Calculate d.
1, 8
Let z(q) = -2*q. Let h be z(-3). Let k(f) = 10*f**3 - f**2 + 4*f - 6. Let a(m) = -3*m**3 - m + 2. Let t(d) = h*k(d) + 21*a(d). Suppose t(x) = 0. Calculate x.
-2, -1, 1
Let w = 4 + 1. Factor 5*g**3 + w - 5*g**2 - 3*g + 4*g - 6*g.
5*(g - 1)**2*(g + 1)
Let j = 160 + -160. Let i(q) be the third derivative of -3*q**2 + 1/180*q**5 + 0*q**3 + 0 + 0*q + j*q**4. Factor i(m).
m**2/3
Let w(a) be the first derivative of a**5/12 - 25*a**4/24 - 5*a**3 - 12*a**2 - 34. Let v(r) be the second derivative of w(r). Solve v(b) = 0 for b.
-1, 6
Let z(u) = 29*u**3 - 671*u**2 - 700*u + 9. Let w(n) = -7*n**3 + 168*n**2 + 175*n - 2. Let x(p) = -9*w(p) - 2*z(p). Let x(t) = 0. Calculate t.
-1, 0, 35
Suppose -784 - n**5 + 1620*n**2 + 120*n**3 + 280*n - 160*n**4 - 5*n**5 - 1070*n**3 = 0. Calculate n.
-14, -2/3, 1
Suppose 0 = o + 3*o - 8. Suppose q = -4*q + o*q. Factor q*r**2 - 1/2 + 1/2*r**4 + r**3 - r.
(r - 1)*(r + 1)**3/2
Find m, given that -m**2 - m + 30 + 24 + 16*m = 0.
-3, 18
Let 7 + 41 + 148*c**2 + 337*c**2 + 545*c**3 - 3 - 105*c**3 - 330*c + 80*c**4 = 0. Calculate c.
-3, 1/4
Let v(t) be the third derivative of -t**7/1260 - t**6/120 - 11*t**5/360 - t**4/24 + 3*t**2 + 59. Determine a so that v(a) = 0.
-3, -2, -1, 0
Let r(n) be the third derivative of 0 + 25*n**2 + 5/672*n**8 - 1/48*n**6 + 0*n + 0*n**5 + 0*n**7 + 0*n**3 + 0*n**4. Factor r(z).
5*z**3*(z - 1)*(z + 1)/2
Let q(m) = -45*m**4 - 75*m**3 + 20*m**2. Let s(t) = t**3. Let c(y) = -q(y) + 5*s(y). Factor c(r).
5*r**2*(r + 2)*(9*r - 2)
Let q(s) be the second derivative of s**7/14 - s**6/2 + 6*s**5/5 - s**4 + s + 3. Let q(y) = 0. Calculate y.
0, 1, 2
Let p be 3 + 2 + 0 + 0. Solve 15*t - 11 - 20*t**3 + 8*t**p - 3*t**5 - 34*t**2 + 1 + 44*t**2 = 0.
-2, -1, 1
Let m = -747 + 750. Factor -10/9*d**4 + 0*d + 0 - 2/9*d**5 - 16/9*d**m - 8/9*d**2.
-2*d**2*(d + 1)*(d + 2)**2/9
Factor 51 + 0*k**3 - 26 + 25*k - 20*k**2 - 35 + 5*k**3.
5*(k - 2)*(k - 1)**2
Suppose -2 = -2*k - 0*d - 2*d, -10 = -3*k + 4*d. Let j be k - (3/5 + 12/(-20)). Find b such that 2/11*b**4 + 4/11*b + 10/11*b**j + 8/11*b**3 + 0 = 0.
-2, -1, 0
Let u(z) be the third derivative of 5*z**10/6048 + z**9/3024 - z**8/336 - 7*z**4/24 + 3*z**2. Let x(i) be the second derivative of u(i). Factor x(w).
5*w**3*(w + 1)*(5*w - 4)
Suppose -2*m - 162 + 158 = 0. Let c be (m - 2) + (-18)/(-4). Suppose 0 + 1/2*h**3 - c*h + 1/4*h**2 - 1/4*h**4 = 0. Calculate h.
-1, 0, 1, 2
Let x(f) be the first derivative of 23 + 1/16*f**4 + 0*f**2 + 1/12*f**3 + 0*f. What is i in x(i) = 0?
-1, 0
Let f(p) be the third derivative of 0 + 1/6*p**4 - 1/30*p**6 + 0*p + 1/30*p**5 - 1/2*p**3 + 7*p**2 + 1/210*p**7. Determine o, given that f(o) = 0.
-1, 1, 3
Factor 4/5*j**3 - 12/5*j**2 + 0 - 8*j.
4*j*(j - 5)*(j + 2)/5
Let v(u) be the third derivative of u**5/60 - 13*u**4/6 + 338*u**3/3 - 78*u**2. Let v(p) = 0. What is p?
26
Let x(r) be the third derivative of -r**5/15 - 11*r**4/3 + 46*r**3/3 - 108*r**2 + 1. Determine q so that x(q) = 0.
-23, 1
Suppose 4*s + 2*d = 18, 2*s = 5*s - 4*d + 14. Let h(y) be the third derivative of 0*y**3 + 1/330*y**5 - s*y**2 - 1/132*y**4 + 0*y + 0. Factor h(t).
2*t*(t - 1)/11
Let d(a) be the second derivative of -31*a 