3 + 32*c**3/3 + 8*c**2 - 3*c. Suppose m(t) = 0. What is t?
-2, -1
Suppose -a + 4*c = -3*a - 2, -4*c - 17 = -3*a. Let g(b) be the first derivative of 1/12*b**a + 0*b - 1/8*b**2 - 2. Factor g(l).
l*(l - 1)/4
Let a(q) be the third derivative of 1/42*q**7 - 1/15*q**5 + 0*q**3 + 0 + 3*q**2 + 0*q - 1/20*q**6 + 1/3*q**4 - 1/336*q**8. Solve a(f) = 0.
-1, 0, 2
Suppose 2*t + 0 = 3*u - 17, -t = -4*u + 16. Let l(q) = -q**2 + 5*q - 2. Let b be l(u). Factor 8/9*a**3 + 0*a + 2/9*a**b + 0 + 8/9*a**2.
2*a**2*(a + 2)**2/9
Suppose w + 2*q + 28 = -3*w, -2*w + 4*q = 14. Let t = w - -9. Factor -8/3*b - 2/3*b**4 + 0 + t*b**3 + 0*b**2.
-2*b*(b - 2)**2*(b + 1)/3
Determine s, given that 49/2*s**5 - 3/2*s**3 + 0 - 10*s**2 + 35*s**4 + 2*s = 0.
-1, 0, 2/7
Determine h so that 1/3*h**5 + 0*h + 0*h**4 + 0*h**2 + 0 + 0*h**3 = 0.
0
Factor 0 - 1/2*r**3 + 1/2*r**5 + 0*r + r**2 - r**4.
r**2*(r - 2)*(r - 1)*(r + 1)/2
Let f(x) = 2*x**2 + 2*x + 2. Let q be f(-3). Find p, given that -4 + 10*p - q*p**2 + 7*p**2 - p**2 + 2*p**3 = 0.
1, 2
Let d(s) be the first derivative of 0*s**2 - 2*s - 1/18*s**4 + 0*s**3 - 1. Let a(p) be the first derivative of d(p). Let a(m) = 0. Calculate m.
0
Let j(p) be the second derivative of p**5/25 + p**4/5 - 8*p**3/15 - 14*p. Factor j(y).
4*y*(y - 1)*(y + 4)/5
Let v be 56/(-16)*5/((-140)/32). Solve 5/3*z**3 + z**5 - 7/3*z**v + 0 - 1/3*z**2 + 0*z = 0 for z.
0, 1/3, 1
Let r(o) = -o**3 - 20*o**2 + 20*o - 19. Let s be r(-21). Find d such that -2/9*d**3 + 2/3*d**s - 2/3*d + 2/9 = 0.
1
Let n(f) be the first derivative of -1/18*f**6 - 2/3*f**2 + 0*f - 13/12*f**4 - 1 + 4/3*f**3 + 2/5*f**5. Factor n(w).
-w*(w - 2)**2*(w - 1)**2/3
Suppose 228*a + 6 = 231*a. Factor 0 - 3/4*p**a + 3/2*p - 3/4*p**3.
-3*p*(p - 1)*(p + 2)/4
Let i = -7/15 + 103/60. Let -i*q**3 + 3/2*q**2 - 2 + 1/4*q**4 + q = 0. What is q?
-1, 2
Let q = 155337/76 - 2044. Let n = 3/19 - q. Factor 0*x**2 - n*x**4 + 0 + 0*x - 1/4*x**5 + 0*x**3.
-x**4*(x + 1)/4
Let p(i) = -i**2 + 7*i + 13. Let l be p(10). Let v = -67/4 - l. Determine k, given that 0 - 1/4*k**4 + v*k + 1/4*k**2 - 1/4*k**3 = 0.
-1, 0, 1
Let p be 84/(-72) - 3/(-2). Factor 0 + 0*o - p*o**2.
-o**2/3
Let v(d) = -d**3 - d**2 + 1. Let t(m) be the second derivative of m**6/30 + m**5/5 + m**4/3 + m**3/6 - 5*m**2/2 - m. Let z(u) = 2*t(u) + 10*v(u). Factor z(x).
2*x*(x - 1)**2*(x + 1)
Let m(f) = -f + 14. Let r be m(10). Let v = r - -4. Let v*q**2 + 24*q + 10*q**2 + 8 + 0*q**2 + 0 = 0. Calculate q.
-2/3
Suppose -5*h = -15, n - 3*h = -0*h - 7. Let q be 7/(-21)*(1 + -7). Suppose 7*k**5 - 14*k**q - 6*k**3 + 3*k**5 + 17*k**4 - 6*k + n*k - 3*k**4 = 0. Calculate k.
-1, -2/5, 0, 1
Suppose 3*z = -4*w + 62 - 9, -23 = -2*w - 5*z. Let n = w - 12. Solve 1/4 + 1/4*m**3 - 1/4*m - 1/4*m**n = 0.
-1, 1
Let p(b) be the third derivative of -b**7/5040 + b**6/360 - b**5/80 + b**4/8 - 6*b**2. Let o(g) be the second derivative of p(g). Factor o(h).
-(h - 3)*(h - 1)/2
Let -4*j**2 + 0*j**2 + 6 + 2*j**2 + 4*j - 8*j = 0. What is j?
-3, 1
Let c(a) be the first derivative of 1/40*a**5 - 1/120*a**6 + 0*a**3 - 2 + a - 1/48*a**4 + 0*a**2. Let k(n) be the first derivative of c(n). Factor k(s).
-s**2*(s - 1)**2/4
Let u = -6 - -9. Let s**2 + s - 6*s + u*s - s**4 + 2*s**3 = 0. Calculate s.
-1, 0, 1, 2
Suppose -3*l = -3 - 3. What is q in 39 - 2*q - l*q**5 - 39 + 4*q**3 = 0?
-1, 0, 1
Factor 1/4*i**5 - 1/2*i**3 - 1/4*i**4 + 0*i**2 + 0*i + 0.
i**3*(i - 2)*(i + 1)/4
Suppose -3*b + 379 = -2*n, 496 - 119 = 3*b - n. Let u = 503/4 - b. Solve 0*x**2 + u*x - 3/4*x**3 + 0 = 0.
-1, 0, 1
Suppose 2*f - 4*f + 6 = 0. Suppose -i = -r - 0*r + 2, f*i + 2*r = 4. Factor 0*z + 1/3*z**4 - 2/3*z**2 + i*z**3 + 1/3.
(z - 1)**2*(z + 1)**2/3
Factor -c + c**3 - 2/5*c**2 + 2/5.
(c - 1)*(c + 1)*(5*c - 2)/5
Factor 3 + 1/6*k**3 + 4/3*k**2 + 7/2*k.
(k + 2)*(k + 3)**2/6
Let k(u) be the third derivative of -4*u**7/315 + 7*u**6/30 - 481*u**5/360 + 35*u**4/24 - 25*u**3/36 + 20*u**2. What is y in k(y) = 0?
1/4, 5
Let p(j) = -j + 1. Let s be p(-1). Factor -1 - 5 + 9*a + 3*a**s - 6*a**2.
-3*(a - 2)*(a - 1)
Let g = -4 - -7. Find q such that -12*q**2 - q**3 - 2*q**3 - 9 - 7 + 24*q + 5*q**g = 0.
2
Let a be (23/(-115))/(4/(-5)). Factor -1/4*l**3 + 0 - a*l**2 + 0*l.
-l**2*(l + 1)/4
Let p = 5 - 0. Let z(v) = 3*v - 5. Let q be z(p). Factor -3*f**3 + 20*f**2 + 10*f**4 - 2*f**5 - q*f - 8*f**3 - 9*f**3 + 2.
-2*(f - 1)**5
Let f = -8 - -8. Let o(z) be the third derivative of 1/180*z**6 + 0*z**3 + 3*z**2 + 0*z**5 - 1/36*z**4 + 0*z + f. Let o(r) = 0. What is r?
-1, 0, 1
Let k(u) be the third derivative of 8*u**7/105 + u**6/30 - 4*u**5/15 - u**4/6 - 22*u**2. Factor k(h).
4*h*(h - 1)*(h + 1)*(4*h + 1)
Factor h - 2/3 + 1/3*h**4 - h**3 + 1/3*h**2.
(h - 2)*(h - 1)**2*(h + 1)/3
Let q be (1 - -1) + -2 + 2. Let l be (-5)/10*(-12)/15. Factor -2/5 - l*c**q - 4/5*c.
-2*(c + 1)**2/5
Suppose -9/7 - 6/7*r + 3/7*r**2 = 0. What is r?
-1, 3
Let f(b) be the first derivative of 2*b**3/21 - b**2/7 - 2. Factor f(o).
2*o*(o - 1)/7
Let b(c) be the second derivative of c**5/240 - c**4/48 + 3*c**2/2 - 3*c. Let l(p) be the first derivative of b(p). Factor l(j).
j*(j - 2)/4
Let h = 7 - 6. Let l be (1 - h)/(-16 + 14). Factor 0 - 1/4*m**2 + l*m.
-m**2/4
Let 2*h + 6*h**2 - 5/2*h**4 + 3/2*h**3 + 0 = 0. Calculate h.
-1, -2/5, 0, 2
Let j = 3 - 1. What is r in 0*r**2 - 5 + 2 + j*r**2 - r**4 + 2 = 0?
-1, 1
Suppose 26*s + 10 = 28*s. Let a(n) be the third derivative of 0*n + 1/1260*n**7 - 1/72*n**4 + 1/360*n**6 + 0*n**3 + 3*n**2 + 0 - 1/360*n**s. Factor a(q).
q*(q - 1)*(q + 1)*(q + 2)/6
Factor 2*a + 6 - 6*a**2 - 21*a**3 + a + 18*a**3.
-3*(a - 1)*(a + 1)*(a + 2)
Suppose q + 2*q = 3, -2*w + 147 = 5*q. Let u = w - 211/3. Let -2/3*f**3 - 2/9*f**5 + 0 - u*f**4 + 0*f - 2/9*f**2 = 0. What is f?
-1, 0
Let p = 15 - 11. Let c + 3*c**2 + c - 3*c - p*c**2 = 0. Calculate c.
-1, 0
Let -16/7 + 120*u**3 - 63*u**4 + 160/7*u - 568/7*u**2 = 0. What is u?
2/7, 2/3
Let j be 2/(-5) - (-8)/20. Suppose j = -4*s - 12 + 36. Solve -8*w + 4*w**4 + s*w**3 + 4*w**4 + 5*w**5 - w**5 - 2*w**5 - 8*w**2 = 0.
-2, -1, 0, 1
Let z(b) be the first derivative of -b**3/6 + b**2/2 + 15*b/2 + 49. Factor z(m).
-(m - 5)*(m + 3)/2
Suppose 4*a + 15 = 5*d + 3*a, 5*d + 2*a - 30 = 0. Suppose 3 = -d*r + 11. Suppose 2/7*f**3 + 0 + 2/7*f - 4/7*f**r = 0. Calculate f.
0, 1
Let x(b) be the first derivative of -b**6/9 - 2*b**5/5 + 3*b**4/2 - 10*b**3/9 - 13. Factor x(j).
-2*j**2*(j - 1)**2*(j + 5)/3
Let l(y) = -y + 4. Let j be l(0). Let t = 6 - j. Solve 2*r**t - r**2 + 3*r + 0*r**2 + 2 = 0 for r.
-2, -1
Suppose 1156 + 4*r**2 - 9*r - 45*r - 82*r = 0. Calculate r.
17
Factor -10/7*v - 16/7*v**2 - 2/7*v**3 + 100/7.
-2*(v - 2)*(v + 5)**2/7
Let m(i) be the first derivative of -i**3/15 + 4*i/5 + 6. Let m(j) = 0. Calculate j.
-2, 2
Let n(s) be the first derivative of s**6/12 - s**4/8 + 18. Determine u so that n(u) = 0.
-1, 0, 1
Let g be 15/6 - (-12)/8. Find l, given that -19*l**2 + 24 + 3*l**2 - 3*l**g - 15*l**3 - 2*l**2 + 12*l = 0.
-2, 1
Let s = 70/39 + -6/13. Factor 2/9*v - 28/9*v**3 - s*v**2 - 22/9*v**4 - 2/3*v**5 + 2/9.
-2*(v + 1)**4*(3*v - 1)/9
Factor 1/2*v**2 + 1 - 1/6*v**4 + 11/6*v - 1/2*v**3.
-(v - 2)*(v + 1)**2*(v + 3)/6
Let q(c) be the first derivative of 1/2*c**2 - 5/3*c**3 + 0*c + 6 + c**4. Determine j, given that q(j) = 0.
0, 1/4, 1
Solve 2*g**2 - 6/5*g**3 + 8/5*g**5 - 2/5*g + 0 - 2*g**4 = 0.
-1, 0, 1/4, 1
Let r = 8 + -5. Let d(x) be the first derivative of 38/9*x**r - 14/3*x**2 + 1 - 25/12*x**4 + 8/3*x - 1/18*x**6 + 8/15*x**5. Factor d(q).
-(q - 2)**3*(q - 1)**2/3
Let u be 1/(-2) - (-35)/14. Let w(z) be the third derivative of -1/90*z**7 + 0*z + 0 + 2*z**u - 1/72*z**6 + 0*z**3 + 0*z**4 + 1/90*z**5. Factor w(q).
-q**2*(q + 1)*(7*q - 2)/3
Let r = -8 - -10. Solve 0 + 2/3*m**r + 2/3*m = 0 for m.
-1, 0
Find d such that 4 - 8/3*d + 4/9*d**2 = 0.
3
Let s = -49/10 + 5. Let o(h) be the second derivative of -1/30*h**6 + 0 + 1/2*h**2 - s*h**5 - h + 0*h**4 + 1/3*h**3. What is w in o(w) = 0?
-1, 1
Factor 0 + 7/2*i**3 + 0*i - i**2.
i**2*(7*i - 2)/2
Let d(i) = 2*i**2 - 4. Let x be 1/(-3) - 13/(-3). Let n(s) = 2*s + 3. Let p be n(-3). Let u(o) = o**2 - 3. Let y(v) = p*d(v) + x*u(v). Factor y(b).
-2*b**2
Let u(g) be the third derivative of -g**7/14 - g**6/20 + g**5/4 + g**4/4 + 5*g**2. Let u(b) = 0. Calculate b.
-1, -2/5, 0, 1
Let y be (-21)/(-28)*