m(t).
-4*t**2
Let c(q) be the first derivative of 3*q**5/25 - 10. Factor c(k).
3*k**4/5
Solve -2/5*c**2 - 2/5*c**4 + 0*c + 0 - 4/5*c**3 = 0 for c.
-1, 0
Suppose -2*z = -6*z + 8. Let -1 + 1 + 2*o**3 + z*o**2 = 0. What is o?
-1, 0
Let g(q) be the first derivative of -2*q**5/55 + q**4/22 + 3. Solve g(d) = 0.
0, 1
Factor -3*r**2 - r + 21*r + 8*r**2 + 0*r**2.
5*r*(r + 4)
Let f be 2 + ((-7 - -4) + 2)*0. Factor 1/6*r + 0 - 1/6*r**f.
-r*(r - 1)/6
Find b, given that 1/2*b**4 - 3/2*b**2 - b**3 + 2*b + 2 = 0.
-1, 2
Let l be (-1 + 6)*27/45. Let y(v) be the third derivative of 0 - 1/480*v**6 - 1/24*v**l + 1/240*v**5 - 2*v**2 + 1/96*v**4 + 0*v. Factor y(g).
-(g - 1)**2*(g + 1)/4
Let c be (-3 + 2 + -1)*46/(-14). Solve 2*i**3 + 8/7 + c*i**2 + 40/7*i = 0.
-2, -1, -2/7
Let n = -312 - -314. Factor -2*u**n - 1 + 5/2*u + 1/2*u**3.
(u - 2)*(u - 1)**2/2
Let i(z) be the first derivative of z**4/8 - z**3/3 + z**2/4 - 9. Factor i(q).
q*(q - 1)**2/2
Let m(i) = -i - 2. Let u be m(-4). Let -5*y**2 + 4*y**u - 2*y**3 + y**3 = 0. Calculate y.
-1, 0
Let f(j) = j**2 + 13*j + 10. Let z be f(-11). Let o be 10/(-15) - 11/z. Factor 0 + 3/4*i**3 - 3/4*i**2 + 1/4*i - o*i**4.
-i*(i - 1)**3/4
Suppose 4*l - 14 = -n + 2*n, -2 = n. Let r be (2 - -13)/l + -1. Solve 3*m**3 - r*m**2 - 6*m**5 + 4*m**4 + 5*m**3 - 2*m + 0*m**5 = 0 for m.
-1, -1/3, 0, 1
Find c such that -32*c**2 + 3*c**3 + 75*c - 36 - 11*c**2 + c**2 = 0.
1, 12
Let h = 13 - -14. Let -h*j + 25*j - 1 - j**2 + 0*j**2 = 0. What is j?
-1
Let p = -345 + 3109/9. Let l = 6 - 6. Find t, given that 2/9*t + l + 2/9*t**3 + p*t**2 = 0.
-1, 0
Let s be (-12 - -13)*(-1 - 0). Let b = s + 3. Suppose -4/5*h**b - 2/5*h**3 - 2/5*h + 0 = 0. What is h?
-1, 0
Let a(z) be the second derivative of -z**6/6 - 5*z**5/4 - 5*z**4/2 + 10*z**3/3 + 20*z**2 + 23*z. Factor a(c).
-5*(c - 1)*(c + 2)**3
Let h be 3596/522 - 4/18. Factor -2/3*z**5 - 10/3*z**4 - 10/3*z - 20/3*z**2 - 2/3 - h*z**3.
-2*(z + 1)**5/3
Let j(k) be the first derivative of -k**5/20 - k**4/12 + 2*k + 3. Let c(g) be the first derivative of j(g). Factor c(s).
-s**2*(s + 1)
Let k(f) be the second derivative of -f**5/25 + f**4/15 + 2*f**3/15 - 2*f**2/5 + 18*f. Factor k(r).
-4*(r - 1)**2*(r + 1)/5
Let l(m) be the first derivative of -m**5/15 + m**4/6 + 4*m**3/9 - m**2/3 - m - 9. Factor l(v).
-(v - 3)*(v - 1)*(v + 1)**2/3
Let y(j) be the first derivative of 0*j**2 + 3*j**4 + 0*j + 5 + 1/2*j**6 + 12/5*j**5 + 0*j**3. Factor y(x).
3*x**3*(x + 2)**2
Let v = 45 + -42. Factor -3/4*u**v + 0*u**2 + 0*u + 0.
-3*u**3/4
Let w(q) be the first derivative of -q**6/2 - 3*q**5/5 + 15*q**4/4 + q**3 - 12*q**2 + 12*q + 10. Factor w(j).
-3*(j - 1)**3*(j + 2)**2
Suppose 10 = -5*q - 3*g + 27, 10 = 3*q + 2*g. What is y in -q*y + 6*y - 4*y**2 + 2*y - 1 = 0?
1/2
Let s(l) be the third derivative of -l**6/40 - 11*l**5/20 + 25*l**4/8 - 13*l**3/2 - 34*l**2. Find f, given that s(f) = 0.
-13, 1
Factor 1/5*q**3 + 0*q**2 + 1/5*q**4 + 0 + 0*q.
q**3*(q + 1)/5
Suppose g - 14 = -g + v, -4*v + 40 = 4*g. Let b(q) = q - 6. Let k be b(g). Factor 0*z**k + 3*z - 9*z - 3*z**2.
-3*z*(z + 2)
Let x(v) = 2*v**2 + 2*v - 8. Let d(r) = 4*r**2 + 3*r - 15. Let b(z) = -4*d(z) + 7*x(z). Let b(l) = 0. What is l?
-1, 2
Suppose 4*f**3 + f - 24*f**2 + 3*f + 64*f**5 + 52*f**4 + 44*f**4 = 0. What is f?
-1, 0, 1/4
Let w(q) be the third derivative of q**5/90 - q**3/9 - 40*q**2. Find n, given that w(n) = 0.
-1, 1
Let x(f) be the third derivative of f**5/80 - f**4/16 + f**3/8 + 34*f**2. Let x(j) = 0. What is j?
1
Let f(x) be the first derivative of 4*x - 9*x**2 + 20/3*x**3 - 24/5*x**5 + 2 + 2*x**4 + 5/3*x**6. Factor f(t).
2*(t - 1)**3*(t + 1)*(5*t - 2)
Let y(d) be the third derivative of 2*d**7/105 + d**6/15 - d**5/15 - d**4/3 + 6*d**2. Factor y(s).
4*s*(s - 1)*(s + 1)*(s + 2)
Determine a, given that 0*a - 4/5*a**2 + 4/5 = 0.
-1, 1
Suppose 7*t - 49*t + 210 = 0. Factor -2/3*q**4 - 4/9*q**3 - 2/9*q**t + 4/9*q**2 + 2/3*q + 2/9.
-2*(q - 1)*(q + 1)**4/9
Let l(q) be the third derivative of -27*q**7/70 + 27*q**6/40 + 9*q**5/10 - 7*q**4/2 + 4*q**3 - 10*q**2 + 2. Factor l(c).
-3*(c + 1)*(3*c - 2)**3
Let o(m) be the third derivative of -m**7/420 + m**6/60 - m**5/20 + m**4/12 - m**3/12 - m**2. Find v such that o(v) = 0.
1
Let i be -3 + (4 - (-1 - -2)). Suppose -5*n = -2*n. Factor -2/7*t**5 + i + 2/7*t**2 + 2/7*t**3 - 2/7*t**4 + n*t.
-2*t**2*(t - 1)*(t + 1)**2/7
Let -2/13*y**5 - 2/13*y + 4/13*y**3 + 0*y**2 + 0 + 0*y**4 = 0. Calculate y.
-1, 0, 1
Let j = 139/15 - 28/3. Let m = j - -2/5. Suppose m*h + h**3 + h**2 + 1/3*h**4 + 0 = 0. What is h?
-1, 0
Let s(m) = m - 8. Let p be s(11). Factor -3*j**2 - 2*j**2 + 2 + 4*j**3 + p*j**2 + j - 5*j**3.
-(j - 1)*(j + 1)*(j + 2)
Suppose -43*x + 47*x = 12. Let f(v) be the second derivative of 0*v**2 + 2/63*v**7 + 13/90*v**6 + 1/18*v**x + 1/4*v**5 + 0 - 2*v + 7/36*v**4. Factor f(a).
a*(a + 1)**3*(4*a + 1)/3
Let d(q) be the second derivative of -5*q**7/42 - q**6/2 + 4*q. Find l such that d(l) = 0.
-3, 0
Let z(j) be the third derivative of -j**7/1995 - j**6/190 - 2*j**5/285 + j**4/38 + 5*j**3/57 + 61*j**2. Suppose z(s) = 0. Calculate s.
-5, -1, 1
Let n(v) be the first derivative of -2*v**6/3 + 2*v**4 - 2*v**2 + 5. Factor n(f).
-4*f*(f - 1)**2*(f + 1)**2
Let j(t) be the first derivative of -t**6/3 + 3*t**5/10 + 2*t**4 + 4*t**3/3 - 3*t - 2. Let z(i) be the first derivative of j(i). Factor z(q).
-2*q*(q - 2)*(q + 1)*(5*q + 2)
Let o(s) = 16*s - 48. Let z be o(3). Find p, given that 0*p - 2/3*p**3 + z + 2/3*p**4 - 4/3*p**2 = 0.
-1, 0, 2
Let d be -1 + -1 - (-9 + 3). Let q(p) be the third derivative of 0 + 3*p**2 + 0*p**d + 0*p - 1/60*p**5 + 1/6*p**3. Find l, given that q(l) = 0.
-1, 1
Let t(z) = 6*z**2 + 12*z - 18. Let h(p) = p**2 - 1. Let w(o) = 3*h(o) - t(o). Factor w(j).
-3*(j - 1)*(j + 5)
Let l be -1*((-50)/15 + 3). Let n(i) be the third derivative of l*i**3 + 0 - 2*i**2 - 1/60*i**5 + 0*i - 1/24*i**4. Factor n(h).
-(h - 1)*(h + 2)
Let v(f) be the third derivative of f**7/420 - f**6/80 + f**5/40 - f**4/48 - 19*f**2. Determine s, given that v(s) = 0.
0, 1
Let x be 6/(-4) - 147/(-42). Find l such that 2/5*l - 1/5*l**x - 1/5 = 0.
1
Let v(o) = -3*o**2 + 39*o + 27. Let x(k) = -k**2 + 19*k + 14. Let g(c) = -4*v(c) + 9*x(c). Factor g(y).
3*(y + 2)*(y + 3)
Let q(x) be the second derivative of -2*x + 0 - 1/180*x**6 + 0*x**5 + 1/72*x**4 + 0*x**2 + 0*x**3. Find w such that q(w) = 0.
-1, 0, 1
Determine l so that -1/4*l**2 + 0 - 1/4*l = 0.
-1, 0
Let f be (-25)/(-405)*(-6)/(-20). Let k(v) be the second derivative of -2*v + 2/27*v**3 + 0 - f*v**4 - 1/9*v**2. Factor k(a).
-2*(a - 1)**2/9
Suppose 2*f - 8 = -2*t - 2*f, -t + 4*f = 8. What is x in 1/5*x**4 + t*x + 0 + 0*x**2 - 1/5*x**3 = 0?
0, 1
Suppose 2*w - 8 = h, -5*h = -5*w - 7*h + 2. What is q in 2/3*q - 1/3 - 1/3*q**w = 0?
1
Let i(o) be the third derivative of 11*o**5/60 + 13*o**4/24 + o**3/3 - 2*o**2. Factor i(a).
(a + 1)*(11*a + 2)
Let w(t) = -29*t**4 - 20*t**3 + 31*t**2 - 9*t + 9. Let l(y) = -7*y**4 - 5*y**3 + 8*y**2 - 2*y + 2. Let b(r) = 9*l(r) - 2*w(r). Suppose b(d) = 0. What is d?
-2, 0, 1
Let p be ((-1)/(-20))/(6/4). Let y(i) be the second derivative of -i + 0*i**3 - p*i**4 + 1/5*i**2 + 0. Let y(o) = 0. What is o?
-1, 1
Let l(j) be the third derivative of 11/72*j**6 + 1/18*j**4 + 0 + 2*j**2 + 0*j**3 + 13/90*j**5 + 0*j + 5/84*j**7. Factor l(b).
b*(3*b + 2)*(5*b + 2)**2/6
Suppose o + 4*a - 18 = 0, 2*o - 3*o - 2*a = -14. Suppose -11*x + 4*x**5 - 12*x**4 + 3*x + 4*x**3 + 2*x**2 + 0*x**3 + o*x**2 = 0. What is x?
-1, 0, 1, 2
Suppose -4*d = -7 - 5. Let u(j) be the third derivative of 0*j**6 + 1/15*j**5 - 1/105*j**7 + 0*j + 0 - 2*j**2 - 1/3*j**d + 0*j**4. Factor u(q).
-2*(q - 1)**2*(q + 1)**2
Let x(l) be the third derivative of 0*l + 0 - 1/945*l**7 + 1/90*l**5 + 0*l**3 + 0*l**4 + 6*l**2 - 1/270*l**6. What is c in x(c) = 0?
-3, 0, 1
Let u be 3/2*(-44)/66 - -1. Let 0 + 4/5*o**2 - 8/5*o**4 - 6/5*o**5 + 2/5*o**3 + u*o = 0. What is o?
-1, 0, 2/3
Let u be ((-16)/(-20))/((-42)/(-15)). Suppose 5 - 13 = -4*d. Factor 2/7 + u*w**d - 4/7*w.
2*(w - 1)**2/7
Let h(r) be the second derivative of 2*r**6/15 + r**5 + 3*r**4 + 14*r**3/3 + 4*r**2 + 28*r. Solve h(v) = 0.
-2, -1
Let j be 12/(-4) - (-57)/18. Let b be (4/12 + 0)*9. Determine k, given that -1/3*k**4 - 1/6*k**b + j*k**5 + 0*k + 1/3*k**2 + 0 = 0.
-1, 0, 1, 2
Let r be -2