 0 = 11*x - 10*x - 2. Solve -4 - 29*l + 35*l + 1 - 3*l**x = 0.
1
Let w(z) = -4*z**2 + 6*z - 2. Let t(q) = 23*q**2 - 35*q + 12. Let v = -6 - 0. Let m(r) = v*t(r) - 34*w(r). Let m(f) = 0. Calculate f.
1, 2
Let i be ((-88)/(-99))/(2 - 4/3). Factor 2*j**2 + 0 - 2/3*j**3 - i*j.
-2*j*(j - 2)*(j - 1)/3
Let l(o) = o + 5. Let n be l(-4). Let s be (-1)/(-3) + n/15. Factor 0 - s*d + 2/5*d**2.
2*d*(d - 1)/5
Let p(b) = b**3 - 19*b**2 + 18*b - 7. Let y(r) = -r**3 + 10*r**2 - 9*r + 4. Let g(a) = 4*p(a) + 7*y(a). Factor g(t).
-3*t*(t - 1)*(t + 3)
Let r(x) be the first derivative of 2*x**5/45 + 2*x**4/9 + 8*x**3/27 - 9. Factor r(o).
2*o**2*(o + 2)**2/9
Let h = 65 + -36. Let 2*v - 28*v**3 - h*v**3 + 30*v**4 + 33*v**2 - 4*v - 4*v = 0. What is v?
0, 2/5, 1/2, 1
Let l(w) = -15*w - 1. Let b be l(-1). Suppose -5*a + t = -b, t + 10 = 3*a - 0*a. Factor -4*j**2 + j**a + j**2 + 2.
-2*(j - 1)*(j + 1)
Let y(r) be the third derivative of r**6/180 - r**4/12 + 2*r**3/9 - 33*r**2. Factor y(o).
2*(o - 1)**2*(o + 2)/3
Suppose -2*b - 2*b = -8. Suppose 4*t = 2*j - 22, -3*j - t + 13 = -b*t. Factor -3 + 5*n**2 + 7 - 8*n + 0*n**j - n**3.
-(n - 2)**2*(n - 1)
Let m(y) be the second derivative of -y**6/30 - y**5/5 - y**4/3 + 7*y. Factor m(g).
-g**2*(g + 2)**2
Suppose -2*t + 5*t - 9 = 0. Let s(w) be the second derivative of 0*w**2 + 0*w**t + 0 + 0*w**4 - 1/90*w**5 - 2*w. Factor s(b).
-2*b**3/9
Let m be 12*-1*(-4)/32*2. Suppose -8*t**2 + t**4 + 0 + 2*t + 15/2*t**m - 5/2*t**5 = 0. Calculate t.
-2, 0, 2/5, 1
Factor -2*h**4 - 14*h**3 + 9*h - 6*h**2 - h + 6*h**3 + 8 + 0*h**2.
-2*(h - 1)*(h + 1)*(h + 2)**2
Factor -4/5*m**4 - 4/5 + 16/5*m**3 - 24/5*m**2 + 16/5*m.
-4*(m - 1)**4/5
Let l = 42/11 - 73/22. Factor 3/4*q**4 + 11/4*q**3 + 11/4*q**2 + 1/4*q - l.
(q + 1)**2*(q + 2)*(3*q - 1)/4
Suppose 4*d - 5*d = 7*d. Let g(y) be the third derivative of -1/90*y**5 + d*y + 0*y**3 + 0 + 1/36*y**4 - y**2. Factor g(k).
-2*k*(k - 1)/3
Let n(v) = -1. Let l(x) = -16*x**2 - 24*x - 4. Let g(y) = -l(y) - 5*n(y). Let g(h) = 0. What is h?
-3/4
Let w(n) be the first derivative of n**5/15 - n**4/12 + 3. Determine r, given that w(r) = 0.
0, 1
Let p = -54 - -57. Let 2/3*j**p + 0 + 0*j**2 - 2/3*j = 0. Calculate j.
-1, 0, 1
Factor -5 + 7 - 10 + z**3 + 12*z - 6*z**2.
(z - 2)**3
Let k(a) be the third derivative of -1/90*a**5 + 1/9*a**3 - a**2 + 0 + 0*a**4 + 0*a. What is b in k(b) = 0?
-1, 1
Let k(p) = -15*p**4 - 7*p**3 + 15*p**2 + 4*p - 3. Let d(i) = -16*i**4 - 8*i**3 + 16*i**2 + 4*i - 4. Let r(m) = -3*d(m) + 4*k(m). Factor r(c).
-4*c*(c - 1)*(c + 1)*(3*c + 1)
Find y such that 9/2 - 9/2*y**2 + 3/2*y - 3/2*y**3 = 0.
-3, -1, 1
Let c(k) be the second derivative of 5*k**4/4 - 10*k**3/3 - 10*k**2 + 25*k. What is g in c(g) = 0?
-2/3, 2
Let o be 2 + 0/(-3 - 0). Suppose 3 - 2*s**o + s**2 + 2*s - 3 = 0. What is s?
0, 2
Let k(b) be the second derivative of -3*b**5/80 - 5*b**4/16 - 7*b**3/8 - 9*b**2/8 + 26*b. Factor k(i).
-3*(i + 1)**2*(i + 3)/4
Let g(b) be the third derivative of -b**6/160 + b**5/40 + b**4/32 - b**3/4 - 3*b**2. Suppose g(j) = 0. What is j?
-1, 1, 2
Let g(v) be the second derivative of v**5/30 + 4*v**4/27 - v**3/9 + 14*v. Factor g(x).
2*x*(x + 3)*(3*x - 1)/9
Determine t, given that 18*t**2 - 24 + 12*t + 12*t**2 - 6*t**4 + 1789*t**5 - 15*t**3 - 1786*t**5 = 0.
-2, -1, 1, 2
Suppose 3*y + 9 = 3*c, -2*y - 3*y - 2*c = -13. Let f(o) be the first derivative of -y + 0*o - 1/3*o**2 - 2/9*o**3. Suppose f(t) = 0. What is t?
-1, 0
Let k(c) = -c - 11. Let l be k(-13). Determine r so that 28*r**4 + 1 - 31*r**4 + r**2 - 4*r**3 - 2*r**l + 3*r**2 + 4*r = 0.
-1, -1/3, 1
Let c(b) be the third derivative of 0*b**5 - 1/140*b**6 + 0*b**4 - 1/490*b**7 + 0*b**3 + 0*b + 0 - 2*b**2. Factor c(j).
-3*j**3*(j + 2)/7
Let j(z) = -2*z**2 + 4*z - 4. Let q(k) = 2*k**2 - 4*k + 3. Let c be (2/(-4))/1*6. Let s(m) = c*j(m) - 4*q(m). Solve s(h) = 0.
0, 2
Suppose v = k - 6*k + 2587, k - v - 521 = 0. Let m = -140 + k. Solve m*z**4 - 22*z + 108*z**3 + 216*z**5 - 5 + 13 - 2*z - 86*z**2 = 0 for z.
-1, -2/3, 1/4, 1/3
Let p(w) = -w**3 + 19*w**2 - 17*w - 3. Let g be p(18). Suppose 17 = 5*y + 3*h - h, 5*h = -y - g. Factor -1/2*z**2 + 1/4*z**y + 0 + 1/2*z**4 + 0*z**3 - 1/4*z.
z*(z - 1)*(z + 1)**3/4
What is d in 0*d + 4/7 - 4/7*d**2 = 0?
-1, 1
Let m(c) = -c**3 - 3*c**2 - 1. Let d be m(-3). Let r = d + 5/3. Factor 4/3*z + r + 2/3*z**2.
2*(z + 1)**2/3
Suppose 8 = -2*r + 2*k, -5*r + 2*k + 2*k = 16. Factor -1/2*c**5 + 0*c + 0 + r*c**2 - c**4 - 1/2*c**3.
-c**3*(c + 1)**2/2
Factor -4*w**2 + 13*w**2 + 4*w - 5*w**2.
4*w*(w + 1)
Let v(o) be the first derivative of 0*o + o**3 - 2 + 3/2*o**2. Factor v(t).
3*t*(t + 1)
Let d(l) = -l**3 + 3*l**2 + 11*l - 4. Let g be d(5). Factor -1/2*z**4 - 1/2*z + 3/2*z**2 + 1/2*z**3 - g.
-(z - 2)*(z - 1)*(z + 1)**2/2
Let n(s) = s**3 + s + 1. Let c(x) = -4*x**4 - 2*x**3 + 4*x**2 + 6*x + 2. Let v(l) = c(l) - 2*n(l). Factor v(y).
-4*y*(y - 1)*(y + 1)**2
Let q = 137/3 + -45. Factor 4/9 + q*d**2 + 14/9*d.
2*(d + 2)*(3*d + 1)/9
Let v be (-4)/(-3) + 20/10. Let m(y) be the first derivative of 7*y**2 + v*y**3 - 2 + 4*y. Factor m(a).
2*(a + 1)*(5*a + 2)
Let g be ((-4)/(-14))/((-8)/(-840)). Find q, given that 72/7*q - 8/7 + 200/7*q**3 - g*q**2 = 0.
1/4, 2/5
Suppose -7 = j + 2. Let d = -7 - j. Factor 2/7*v**d + 2/7*v + 0.
2*v*(v + 1)/7
Let u be ((-1)/(-5))/(8/((-200)/(-15))). Let y(h) be the third derivative of 1/15*h**5 + u*h**4 + 0 + 8/9*h**3 + h**2 + 0*h + 1/180*h**6. Solve y(q) = 0 for q.
-2
Let z be 1/(-3) + 176/(-48). Let j be ((-6)/(-15))/(z/(-30)). Let -2/3*m**j + 1/3*m**4 - 2/3*m**2 + 1/3 + 1/3*m**5 + 1/3*m = 0. Calculate m.
-1, 1
Let s(q) be the second derivative of q**7/6300 + q**6/1800 - q**5/150 + q**4/12 + 3*q. Let b(w) be the third derivative of s(w). Find n, given that b(n) = 0.
-2, 1
Factor 0*f**3 + 4*f**4 + 16*f**2 - 4 - 4*f**2 - 14*f**3 + 2*f.
2*(f - 2)*(f - 1)**2*(2*f + 1)
Let a be 17/(-34) - 5/(-2). Factor -t**a + 0 - 1/2*t**3 - 1/2*t.
-t*(t + 1)**2/2
Let o = -6/149 - -388/2235. Let y(m) be the first derivative of 3 + 1/5*m**4 + 0*m**2 + o*m**3 + 2/25*m**5 + 0*m. Factor y(j).
2*j**2*(j + 1)**2/5
Suppose -2*y + 4*d + 4 = -16, 5*y + 3*d = -15. Determine u, given that 0 + 1/2*u**3 - 1/2*u + y*u**2 = 0.
-1, 0, 1
Let b = -15 + 31. Let d be (24/(-16))/((-18)/b). Solve -2/3*t**2 - 2/3*t**4 - d*t**3 + 0*t + 0 = 0 for t.
-1, 0
Let q = 53 - 50. Solve 8/5*z**2 + 0 - 6/5*z**q - 2/5*z = 0 for z.
0, 1/3, 1
Let l(p) be the third derivative of 2*p**7/735 - 9*p**2. Find r, given that l(r) = 0.
0
Factor 0*d + 2/19*d**4 + 0*d**3 - 2/19*d**2 + 0.
2*d**2*(d - 1)*(d + 1)/19
Factor 0*s - 65*s**2 + 64*s**2 + 5*s - 4*s.
-s*(s - 1)
Let s(r) be the first derivative of r**6/720 - r**5/120 + r**4/48 - r**3 - 3. Let v(p) be the third derivative of s(p). Solve v(a) = 0 for a.
1
Suppose -9*t + 13*t - 16 = 0. Let b(m) be the second derivative of 1/42*m**t + 0*m**3 + 0*m**2 + 0 + 4*m. Solve b(g) = 0.
0
Let c(x) be the first derivative of x**3 - 4 + 3/5*x**5 + 9/2*x**2 - 9/4*x**4 - 6*x. Factor c(h).
3*(h - 2)*(h - 1)**2*(h + 1)
Let l(v) be the first derivative of -v**6/3 + 6*v**5/5 - 8*v**3/3 + 37. Factor l(a).
-2*a**2*(a - 2)**2*(a + 1)
Let z(r) = -r**2 + r - 4. Let v(g) = 2*g**2 - 2*g + 9. Let w(o) = 4*v(o) + 9*z(o). Factor w(u).
-u*(u - 1)
Let n(z) be the first derivative of z**6/360 + z**5/90 + z**4/72 - 5*z**2/2 - 3. Let d(h) be the second derivative of n(h). Determine r so that d(r) = 0.
-1, 0
Let b = -6 - -9. Suppose -b - 1 = -j. Factor -12*z**2 + 12 - 6*z**3 - 9 + 16*z**4 + 6*z - 7*z**j.
3*(z - 1)**2*(z + 1)*(3*z + 1)
Let a(n) = 9*n**4 + 9*n**3 - 9*n**2 - 9*n + 6. Let z(g) = 26*g**4 + 26*g**3 - 26*g**2 - 26*g + 17. Let s(u) = -17*a(u) + 6*z(u). Determine c so that s(c) = 0.
-1, 0, 1
Suppose 0 = -43*k + 36*k + 35. Let i(f) be the second derivative of 1/30*f**k - 1/9*f**3 + 1/3*f**2 + 0 - 1/18*f**4 - 2*f. Factor i(l).
2*(l - 1)**2*(l + 1)/3
Let y(k) be the first derivative of k**6/6 - k**4/2 + k**2/2 - 8. Determine c, given that y(c) = 0.
-1, 0, 1
Factor 4/5*a - 1/5*a**2 - 3/5.
-(a - 3)*(a - 1)/5
Let h(j) be the third derivative of 1/4*j**3 + 0*j + 0 - 2*j**2 + 1/8*j**4 + 1/40*j**5. Factor h(c).
3*(c + 1)**2/2
Let q(n) = -5*n**2 - n + 4. Let u(v) = 11*v**2 + 3*v - 8. Let r(i) = 7*q(i) + 3*u(i). Find s such that r(s) = 0.
-1, 2
Let u(x) = -x**2 + x + 1. Let l(p