t s(u) = 0.
-6
Let c be (-6)/(((-5)/10)/((-1)/(-3))). Factor 0 + l**2 + 1/2*l**c - 3/2*l**3 + 0*l.
l**2*(l - 2)*(l - 1)/2
Let r(y) = -9*y**2 + 5*y + 5. Let o(p) = 13*p**2 - 7*p - 7. Let z(n) = 5*o(n) + 7*r(n). Factor z(b).
2*b**2
Suppose 7*k = 7 + 7. Let a(g) be the second derivative of 0 + 1/18*g**4 - 1/30*g**6 + 1/6*g**k - 1/126*g**7 + 3*g + 1/6*g**3 - 1/30*g**5. Factor a(d).
-(d - 1)*(d + 1)**4/3
Suppose -3*d = d + 5*p - 13, 0 = 4*p - 4. Let k be d/(-3) - (-8)/12. Factor k + 0*z**4 + 1/2*z**3 - 1/4*z + 0*z**2 - 1/4*z**5.
-z*(z - 1)**2*(z + 1)**2/4
Let x(f) be the first derivative of -f**6/90 + f**5/15 - 5*f**4/36 + f**3/9 + 2*f + 1. Let b(d) be the first derivative of x(d). Find q, given that b(q) = 0.
0, 1, 2
Factor -12/11*z**3 - 24/11*z + 26/11*z**2 + 8/11 + 2/11*z**4.
2*(z - 2)**2*(z - 1)**2/11
Solve 0 - 15/2*m**4 + 0*m + 0*m**2 - 21/4*m**5 - 9/4*m**3 = 0 for m.
-1, -3/7, 0
Suppose 4*l - 5 = -2*c + 7, 4*c + l - 10 = 0. Factor 0 + 2/5*d**c + 0*d.
2*d**2/5
Suppose 0 = -5*h + 3*a + 96, 2*h - 5*h + 2*a = -58. Let t be 4/(-2)*(-12)/h. Factor t + 2/3*s**2 + 2*s.
2*(s + 1)*(s + 2)/3
Determine m so that -3/2*m**2 + 1/2*m + 0 = 0.
0, 1/3
Factor 41*j - 3*j**4 - j**2 + 3*j**3 - 41*j + j**5.
j**2*(j - 1)**3
Suppose f + 0*f + 5 = 0, -3*k + 25 = -2*f. Let 2*q**3 - 6 - 2*q**k + 2*q**4 - 2*q**2 + 6 = 0. Calculate q.
-1, 0, 1
Let a(w) be the third derivative of -w**6/540 - w**5/15 - 3*w**4/4 - 24*w**2. Find q, given that a(q) = 0.
-9, 0
Factor 0 - 12*q**2 + 4 + 2*q**3 + 8*q**2 + 4*q - 6*q.
2*(q - 2)*(q - 1)*(q + 1)
Let n(k) be the first derivative of 0*k**3 - 3/8*k**4 + 0*k**2 + 4 + 0*k. Solve n(h) = 0 for h.
0
Let d = -4 + 5. Solve -3*w**3 - 5*w**4 + 4*w**4 + 0*w + 5*w**3 + d - 2*w = 0.
-1, 1
Let s(z) = z**4 - z**2 + z + 1. Let n(i) = -11*i**4 + 5*i**3 + 11*i**2 - 11*i - 6. Let l(a) = -n(a) - 6*s(a). Let l(w) = 0. Calculate w.
-1, 0, 1
Let g(x) be the third derivative of -x**5/100 + x**3/10 - 11*x**2. Factor g(b).
-3*(b - 1)*(b + 1)/5
Let r(b) = -2*b**2 - 3*b + 5. Let j(g) = 4*g**2 + 7*g - 11. Let p(n) = -3*j(n) - 7*r(n). Suppose p(u) = 0. Calculate u.
-1, 1
Let p(l) be the first derivative of -l**4/16 - l**3/12 + l**2/4 + 14. What is x in p(x) = 0?
-2, 0, 1
Factor 0*s - 2/15*s**3 + 0 + 2/15*s**2.
-2*s**2*(s - 1)/15
Let j(i) = 6*i**3 + 3*i**2 - 4*i. Let s(y) = -y**3 - y**2 + y. Let f(k) = j(k) + 5*s(k). Factor f(v).
v*(v - 1)**2
Let x be (2/((-10)/(-17)) - 3)/6. Let f(t) be the second derivative of -1/20*t**5 + 0*t**3 + 0*t**4 + x*t**6 + 0 + t - 1/42*t**7 + 0*t**2. Solve f(a) = 0 for a.
0, 1
Let n(d) be the first derivative of -3*d**4/20 + d**3/5 + 2. Factor n(s).
-3*s**2*(s - 1)/5
Let c(i) = -2*i**3 + 40*i**2 - 2*i + 43. Let m be c(20). What is q in 1/3*q**2 - 2/3*q - 1/3 + 2/3*q**m = 0?
-1, -1/2, 1
Let -6*r**3 - 4*r**2 - r + 6 - 12 - 4*r**4 - r**5 + 6 = 0. What is r?
-1, 0
Suppose 0 = k - 5*k + 8. Determine d so that -3*d**4 + 2*d**4 + 2*d**4 - 3*d**3 + 2*d**4 + 3*d - 3*d**k = 0.
-1, 0, 1
Factor 0 - 4/13*h - 2/13*h**2.
-2*h*(h + 2)/13
Let q(w) be the first derivative of 2*w - 2/9*w**3 + 1/3*w**2 + 1/18*w**4 + 2. Let t(r) be the first derivative of q(r). Solve t(s) = 0.
1
Let y(r) be the third derivative of 3*r**8/15680 - r**7/1960 + r**6/1680 + r**5/20 - 3*r**2. Let i(b) be the third derivative of y(b). Solve i(d) = 0.
1/3
Let h(j) = 12*j**2 - 55. Let a(k) = 4*k**2 - 18. Let b(z) = -7*a(z) + 2*h(z). Solve b(v) = 0.
-2, 2
Let l(c) = 3*c**3 - 5*c**2 - 17*c + 7. Let s(t) = -8*t**3 + 16*t**2 + 50*t - 21. Let g(o) = -11*l(o) - 4*s(o). Let u be g(-7). Factor 1/4*m**2 + 1/2*m + u.
m*(m + 2)/4
Let l(h) be the second derivative of -h**4/4 + 16*h**3 - 384*h**2 - h + 14. Find k such that l(k) = 0.
16
Let -1/3*u + 4/3*u**3 + 1/2*u**4 + 1/2*u**2 + 0 = 0. Calculate u.
-2, -1, 0, 1/3
Let o(b) = 7*b**5 + 5*b**4 - 4*b**3 - 5*b**2 + 7*b - 5. Let x(u) = -3*u**5 - 2*u**4 + 2*u**3 + 2*u**2 - 3*u + 2. Let t(j) = 6*o(j) + 15*x(j). Factor t(w).
-3*w*(w - 1)**2*(w + 1)**2
Let d(w) be the second derivative of 0*w**2 + 1/6*w**4 + 1/3*w**3 - 2*w + 0. Factor d(r).
2*r*(r + 1)
Let a(d) = d**4 - 7*d**3 + 4*d. Let t(v) = v**4 - 13*v**3 + 7*v. Let z(g) = -7*a(g) + 4*t(g). Suppose z(y) = 0. What is y?
-1, 0
Suppose -4*l = l - 15. Factor 5*r**2 + 8*r + 5*r**2 - 2*r**2 + 2*r**l.
2*r*(r + 2)**2
Let u be (21/3 + 25/(-5))*2. Suppose 0 + 2/5*p + 2*p**5 - 11/5*p**u + p**2 - 6/5*p**3 = 0. Calculate p.
-1/2, -2/5, 0, 1
Factor -10*k**3 + k**2 + 2*k**2 - 4*k**2 + 2*k + 8*k**3 + k**4.
k*(k - 2)*(k - 1)*(k + 1)
Let o be (-3 - -7)*10/24. Find f, given that -o*f + 2/3 + 4/3*f**2 - 1/3*f**3 = 0.
1, 2
Determine j so that 0 + 3/5*j**4 + 0*j**3 - 9/5*j**2 - 6/5*j = 0.
-1, 0, 2
Let m(q) be the first derivative of -3/2*q - 3/5*q**5 - 3 + 3*q**3 - 3/16*q**4 - 15/8*q**2. Suppose m(z) = 0. What is z?
-2, -1/4, 1
Let k be ((-2)/(6/(-9)) - 1)*2. Suppose 0 + 1/3*l**2 + 1/3*l - 1/3*l**k - 1/3*l**3 = 0. Calculate l.
-1, 0, 1
Let d = -2 + 7. Let p(o) = -7 + d*o**2 + o - 3 - 1. Let c(a) = -3*a**2 - a + 6. Let s(n) = -7*c(n) - 4*p(n). Factor s(g).
(g + 1)*(g + 2)
Let k(o) = o**4 - 6*o**2 - 4*o + 1. Let v(b) = -1 - 4*b**4 + 3*b**4 + 4*b - b + 5*b**2. Let z(u) = 3*k(u) + 4*v(u). Find n such that z(n) = 0.
-1, 1
Let u = -2 - -9. Let v = -7 + u. Factor -2/5*a**2 + 2/5*a + v.
-2*a*(a - 1)/5
Let r be 2/(-4)*2 - -4. Let g = r - 1. Factor m**2 - 4*m**g - 1 - 4*m**2 - 3*m**3 - 5*m.
-(m + 1)**2*(3*m + 1)
Let s(v) be the third derivative of 0*v**5 + v**2 + 1/108*v**4 - 1/540*v**6 + 0*v**3 + 0 + 0*v. Find c, given that s(c) = 0.
-1, 0, 1
Let c(b) be the second derivative of -b**4/42 - b**3/21 + 8*b. Factor c(f).
-2*f*(f + 1)/7
Let j(w) be the second derivative of -7*w**4/66 + 5*w**3/33 + 2*w**2/11 + 3*w. Suppose j(h) = 0. What is h?
-2/7, 1
Suppose 4*v - 5*j + 12 + 0 = 0, 5*v + 4*j + 15 = 0. Let q = v + 6. Factor -2*b**4 + 5*b**2 - 2*b**5 - q*b**2 + 0*b**4 + 2*b**3.
-2*b**2*(b - 1)*(b + 1)**2
Let v(x) be the second derivative of x**4/48 - x**3/4 + 9*x**2/8 - 8*x. Let v(p) = 0. What is p?
3
Let l(d) be the first derivative of -d**4/6 + 10*d**3/9 - 2*d**2/3 - 16*d/3 + 26. Factor l(g).
-2*(g - 4)*(g - 2)*(g + 1)/3
Find m, given that 1/3*m**2 - 1 - 2/3*m = 0.
-1, 3
Let 0*q**4 + 0 + 0*q**3 - 1/6*q**5 + 0*q + 0*q**2 = 0. What is q?
0
Let n(h) be the third derivative of h**9/18144 - h**8/10080 - 5*h**3/6 + 6*h**2. Let a(z) be the first derivative of n(z). Find y such that a(y) = 0.
0, 1
Let p = 9 - 11. Let d = p - -4. Factor -1/3*i**5 + 0*i**d - 1/3*i**4 + 0*i + 0 + 0*i**3.
-i**4*(i + 1)/3
Let q(u) be the third derivative of 0*u**3 - 1/36*u**4 + 0*u + 0 + 1/180*u**6 - 3*u**2 - 1/315*u**7 + 1/90*u**5. Factor q(p).
-2*p*(p - 1)**2*(p + 1)/3
Let d(b) be the first derivative of -b**5/390 - b**2 - 5. Let s(l) be the second derivative of d(l). Solve s(q) = 0 for q.
0
Suppose c = -1, -k = 2*c - 7*c + 19. Let m be (1/6)/((-3)/k). Suppose 2*t + m + 2/3*t**2 = 0. What is t?
-2, -1
Let r(d) be the first derivative of d**6/160 + d**5/80 - d**2 + 1. Let i(a) be the second derivative of r(a). Factor i(y).
3*y**2*(y + 1)/4
Let o = 19 + -16. Let n(a) be the second derivative of 0 + 1/12*a**3 - o*a + 1/16*a**4 - 1/8*a**2. Let n(u) = 0. Calculate u.
-1, 1/3
Let d(k) be the third derivative of k**8/112 + k**7/10 + 19*k**6/40 + 5*k**5/4 + 2*k**4 + 2*k**3 - 56*k**2. Factor d(i).
3*(i + 1)**3*(i + 2)**2
Factor 14/11*c - 6/11*c**2 - 4/11.
-2*(c - 2)*(3*c - 1)/11
Let f(i) = i - 2. Let u be f(3). Let j = u - -3. Solve t**5 + 3*t**4 + 2*t**3 + 7*t**5 + 7*t**j = 0 for t.
-1, -1/4, 0
Let v = -1787/5 - -359. Suppose -6/5*p**4 + 0*p**3 + v*p**2 + 0*p - 2/5*p**5 + 0 = 0. Calculate p.
-2, 0, 1
Let x(u) = -7*u**4 + u**3 - 4*u**2 + 4*u + 4. Let k(c) = -13*c**4 + c**3 - 7*c**2 + 7*c + 7. Let a(i) = -4*k(i) + 7*x(i). Factor a(m).
3*m**3*(m + 1)
Let k(l) be the first derivative of -l**6/15 - 4*l**5/25 - l**4/10 - 16. Factor k(r).
-2*r**3*(r + 1)**2/5
Suppose 0 - 2*r**2 - 2 - 2 + 6*r**2 = 0. Calculate r.
-1, 1
Factor 21*b**4 - 2*b**5 - 93*b**2 - 39*b**3 - 37*b - 12 + 17*b**5 - 23*b.
3*(b - 2)*(b + 1)**3*(5*b + 2)
Let d(v) be the first derivative of 3 + 0*v - 1/14*v**4 - 2/7*v**2 + 2/7*v**3. Determine n so that d(n) = 0.
0, 1, 2
Let y(x) be the third derivative of x**5/12 - 5*x**4 + 120*x**3 + 8*x**2. Factor y(u).
5*(u - 12)**2
Suppose -3*v - 2*n - 1 = 0, -2*v + 16 = 