Factor t(b).
-3*(2*b - 21)**3
Let t(a) be the second derivative of -a**4 + 1/5*a**5 + 0 + 0*a**3 - 11*a + 8*a**2. Factor t(q).
4*(q - 2)**2*(q + 1)
Suppose -21*x = -9*x - 48. Let n(v) be the first derivative of 3 + 6*v**2 - 5/2*v**3 + 3/8*v**x - 6*v. Find t such that n(t) = 0.
1, 2
Suppose -9*a - a = -30. Let t(y) be the first derivative of 0*y**a + 0*y**2 + 3 + 0*y + 1/10*y**4. What is w in t(w) = 0?
0
Let z(g) = -2*g**2 - 14*g. Suppose -2*m = -3*m - 2. Let l(a) = -a. Let j(h) = m*z(h) + 20*l(h). Factor j(b).
4*b*(b + 2)
Let u(a) be the second derivative of -5*a + 0 + 0*a**2 - 2/15*a**3 - 1/6*a**4 - 1/75*a**6 - 2/25*a**5. What is s in u(s) = 0?
-2, -1, 0
Factor -1/2*h**2 + 66*h + 0.
-h*(h - 132)/2
Let n be 16*21/49 + -3. Let u(r) be the first derivative of -1/7*r**3 + 5 - n*r + 9/7*r**2. Let u(o) = 0. Calculate o.
3
Suppose -36 = 3*q - 6*q. Factor 4*i**3 - 5 + 1 - 12 + q*i**2.
4*(i - 1)*(i + 2)**2
Suppose -g - 4*g + 20 = -4*k, 0 = -4*g + k + 5. Let h(u) be the first derivative of 0*u**3 + 0*u - 2/35*u**5 - 1/14*u**4 + g*u**2 - 1. Solve h(i) = 0 for i.
-1, 0
Let g be 1/4*17/((-833)/(-42)). Let o(n) be the first derivative of -27/28*n**4 + 12/35*n**5 + 0*n + 6/7*n**3 - g*n**2 - 5. Determine u, given that o(u) = 0.
0, 1/4, 1
Let g = -11/40 + 317/280. Determine i so that -9/7*i**2 + g + 3/7*i**3 + 3/7*i**4 - 3/7*i = 0.
-2, -1, 1
Let t = -1703/18 - -569/6. Factor -10/9*h**2 + 4/9 + 4/9*h**3 + t*h.
2*(h - 2)*(h - 1)*(2*h + 1)/9
Factor -17/7 - 1/7*g**2 - 18/7*g.
-(g + 1)*(g + 17)/7
Let k(j) = -j**3 - 11*j**2 - 10*j - 11. Let t be k(-10). Let o = t + 13. Let 2*v**o - 17 + 2*v**4 - 4*v**2 + 17 = 0. Calculate v.
-1, 0, 1
Let t(x) be the second derivative of -x**6/6 - x**5 - 25*x**4/12 - 5*x**3/3 - 336*x. Factor t(b).
-5*b*(b + 1)**2*(b + 2)
Let f(d) be the first derivative of -d**5 - 15*d**4/4 + 45*d**3 + 675*d**2/2 + 810*d + 146. Find h such that f(h) = 0.
-3, 6
Let q = 20634/7 + -2941. Let x = q - -73/35. Factor -16/5 + 56/5*j + 2*j**3 - x*j**2.
2*(j - 2)**2*(5*j - 2)/5
Let l(u) = -u**2 - 7*u - 6. Let p(n) = n**2 + n. Let f = 26 + -25. Let o(d) = f*l(d) - 2*p(d). Determine q so that o(q) = 0.
-2, -1
Let i(g) be the second derivative of g**6/105 + 3*g**5/35 - g**4/14 - 20*g**3/21 - 12*g**2/7 - g - 94. Factor i(k).
2*(k - 2)*(k + 1)**2*(k + 6)/7
Let g(u) = u**3 + u + 1. Suppose -20 + 34 = -7*r. Let w(x) = 2*x**4 - 28*x**3 - 4*x**2 + 2*x - 38. Let l(j) = r*w(j) - 44*g(j). Determine v so that l(v) = 0.
-2, 1, 2
Let u(c) be the second derivative of c**6/60 + 3*c**5/40 + c**4/12 + 49*c. Factor u(a).
a**2*(a + 1)*(a + 2)/2
Suppose 3 = 6*d - 7*d. Let z be -1*d*(0 + 1). What is w in 6*w + 14*w**3 + 2*w**2 - 10*w**2 - 3*w**4 - 2*w**z - 7*w**2 = 0?
0, 1, 2
Let k be 78/60 - 2/(-20)*-8. Let w(v) be the first derivative of k*v**4 + 3 - v**2 - 2/3*v**3 + 2*v. Determine m, given that w(m) = 0.
-1, 1
Suppose -4*n - 2 = 2*l - 20, l - 15 = -4*n. Factor -3*o**2 + 7 - 2*o + 5*o + 2 + n*o.
-3*(o - 3)*(o + 1)
Suppose -5*q + 98 = -7. Let v be 6/45*q/7. Determine l so that 2/5 - 1/5*l + 1/5*l**3 - v*l**2 = 0.
-1, 1, 2
Let l(h) = 4*h + 3*h**2 + h**3 + 0*h + 4 - 6*h**2 - 2*h**3. Let k(c) = -c**3 - 3*c**2 + 3*c + 4. Let b(j) = -4*k(j) + 3*l(j). Factor b(q).
(q - 1)*(q + 2)**2
Let z(s) be the second derivative of s**6/12 + 19*s**5/40 + 7*s**4/8 + 5*s**3/12 - s**2/2 + 12*s + 1. Factor z(c).
(c + 1)**2*(c + 2)*(5*c - 1)/2
Let s(c) be the third derivative of -c**8/168 - 2*c**7/105 + 23*c**6/60 + 4*c**5/5 - 12*c**4 + 89*c**2. Factor s(v).
-2*v*(v - 3)**2*(v + 4)**2
Factor -5*h - h + 2*h + 4*h**2 - 28 + 4.
4*(h - 3)*(h + 2)
Let g be (-24)/(-21) + (-22)/154 - (-12)/(-15). Let 6/5*o**3 + 0*o + 0 - 9/5*o**2 - g*o**4 = 0. What is o?
0, 3
Let w(f) be the first derivative of 3*f**4/4 - 3*f**2/2 + 24. Determine u so that w(u) = 0.
-1, 0, 1
Let s(q) be the second derivative of 15*q**4/4 - 5*q**3/3 + 2*q + 20. Solve s(u) = 0 for u.
0, 2/9
Let q(p) be the second derivative of p**6/80 + 87*p**5/80 - 45*p**4/8 + 91*p**3/8 - 183*p**2/16 - 642*p. Let q(f) = 0. What is f?
-61, 1
Let y = 73217/10983 + 1/3661. Find m, given that -64/3*m + 8/3*m**3 + 16/3 - y*m**4 + 20*m**2 = 0.
-2, 2/5, 1
Let b(f) be the second derivative of f**4/16 - f**3/2 + 9*f**2/8 + 234*f. Determine p so that b(p) = 0.
1, 3
Suppose 18*g + z + 15 = 21*g, 0 = -2*g - z. What is j in 0*j**g + 0*j - 2/3*j**4 + 0 + 2/3*j**2 = 0?
-1, 0, 1
Factor 7*t**4 - 3*t**4 - 200*t - 257*t**2 + 32*t**3 + 277*t**2.
4*t*(t - 2)*(t + 5)**2
Let n be (-3)/(-1) - (-1 - 2). Suppose -n*u + 14 = u. Factor 2/5*h**5 - 12/5*h**4 - 4/5*h**u + 16/5 - 24/5*h + 22/5*h**3.
2*(h - 2)**3*(h - 1)*(h + 1)/5
Let i(f) = 18*f**4 - 6*f**3 - 12*f**2 + 8. Let y(a) = -a**3 + a**2 - 1. Suppose 2*k + 4 = -4*m, -4*k - 3*m - 8 = 15. Let u(q) = k*y(q) - i(q). Solve u(g) = 0.
-2/9, 0, 1
Suppose 25 = 2*z - 0*z + 5*l, l = -3*z + 5. Suppose 3*n + 16 = 5*g, -3*g = -2*g - 3*n - 8. Solve z*y - 2/9*y**4 + 0 + 2/9*y**g + 0*y**3 = 0.
-1, 0, 1
Let n(i) = 4*i**4 - 8*i**2 - 16*i - 12. Let p be 4 - 2/(8/12). Let q(u) = -u - 1. Let m(t) = p*n(t) - 16*q(t). Find l such that m(l) = 0.
-1, 1
Let i(r) be the second derivative of r**6/10 - 3*r**5/5 + r**4/2 + 2*r**3 - 9*r**2/2 + r + 11. Factor i(p).
3*(p - 3)*(p - 1)**2*(p + 1)
Let p = 28/669 - -3484/2007. Factor -4/3 - 4/9*f**2 + p*f.
-4*(f - 3)*(f - 1)/9
Solve -4*q**2 + 0*q**3 + 42*q**2 - 3*q**3 + 4*q**2 - 75*q + 36 = 0.
1, 12
Let b = -27 + 30. Factor -468 - 3*d + 468 + 0*d - 6*d**2 - 3*d**b.
-3*d*(d + 1)**2
Let k(p) be the first derivative of -1/1620*p**6 + 0*p - 2/3*p**3 + 0*p**2 + 1/36*p**4 + 1/270*p**5 + 4. Let r(j) be the third derivative of k(j). Factor r(x).
-2*(x - 3)*(x + 1)/9
Let j(m) be the third derivative of 16*m**2 + 0 - 1/4*m**4 + 0*m - 1/60*m**6 - 1/10*m**5 - 1/3*m**3. Factor j(t).
-2*(t + 1)**3
Let p(f) be the first derivative of -f**3/12 - 11*f**2 - 484*f - 231. Factor p(c).
-(c + 44)**2/4
Let k(i) = 13*i**3 - 14*i**2 + 19*i + 19. Let s(m) = -6*m + m**3 - 1 - 5 - 5*m**3 + 5*m**2. Let f(z) = 4*k(z) + 14*s(z). Factor f(r).
-2*(r - 2)**2*(2*r + 1)
Suppose 7*y**3 - 2*y**3 - 30*y**2 + 125*y - 71*y**2 - 29*y**2 = 0. What is y?
0, 1, 25
Let o = -268/3 - -90. Let o*i**2 - 2 + 4/3*i = 0. Calculate i.
-3, 1
Let g(t) be the third derivative of -t**8/1848 + t**7/385 + t**6/660 - t**5/30 + t**4/11 - 4*t**3/33 + 233*t**2. Solve g(o) = 0 for o.
-2, 1, 2
Let i(n) be the second derivative of -n**5/40 - n**4/4 - 3*n**3/4 + 17*n**2/2 + 14*n. Let v(s) be the first derivative of i(s). Factor v(g).
-3*(g + 1)*(g + 3)/2
Let q(k) = -k**2 - 8*k - 9. Let y be q(-5). Let s be 0/(-5) + 0/y. What is x in 1/2*x**2 - x + s + x**3 - 1/2*x**4 = 0?
-1, 0, 1, 2
Let m(t) be the second derivative of t**6/1620 - t**5/540 - t**4/54 + 3*t**3/2 + 17*t. Let a(l) be the second derivative of m(l). Find y, given that a(y) = 0.
-1, 2
Let q(d) be the second derivative of -d**6/90 - d**5/60 + d**4/36 + d**3/18 - d + 81. What is i in q(i) = 0?
-1, 0, 1
Let q(n) be the second derivative of 0 - 37*n + 1/20*n**6 + 1/112*n**7 + 0*n**2 + 9/80*n**5 + 1/16*n**3 + 1/8*n**4. Factor q(p).
3*p*(p + 1)**4/8
Suppose 2*c + 56 = 2*w + 5*c, 157 = 5*w - c. Suppose 3*t + 7*h = 2*h + w, -5*h = -25. Let 2*j**2 - 3 + 5 - 6 - t*j = 0. What is j?
-1, 2
Let m(s) be the third derivative of 0*s + 1/48*s**4 + 1/120*s**5 + 0*s**3 - 4*s**2 + 0. Find u such that m(u) = 0.
-1, 0
Let j(d) = -4*d**2 + 79*d - 53. Let x be j(19). Factor 2/3*p**3 + 2/3*p**2 - p**x + 1/3*p**5 - p + 1/3.
(p - 1)**4*(p + 1)/3
Let u(n) be the second derivative of 0 + 0*n**2 + 21*n - 1/70*n**5 - 1/42*n**4 + 0*n**3. Factor u(h).
-2*h**2*(h + 1)/7
Let k(g) be the second derivative of g**4/18 + 19*g**3/9 - 14*g**2 + 5*g - 7. Factor k(o).
2*(o - 2)*(o + 21)/3
Let m(q) = -q**2 + 7*q + 28. Let x be m(10). Let g(n) = -3*n - 3. Let l be g(x). Factor 3/2*v**l - 3/2*v + 3/2 - 3/2*v**2.
3*(v - 1)**2*(v + 1)/2
Let x(s) = 15*s**4 + 385*s**3 + 1225*s**2 + 1710*s + 935. Let v(q) = 2*q**4 + 48*q**3 + 153*q**2 + 214*q + 117. Let p(g) = 25*v(g) - 3*x(g). Factor p(f).
5*(f + 2)**3*(f + 3)
Suppose -5*g = 3*w - 0*w + 14, 0 = -5*w - 5*g - 10. Factor 3*v**4 - 13*v**w + 0*v**4 - 5*v**2 - 21*v**3 - 6*v**4.
-3*v**2*(v + 1)*(v + 6)
Let f(n) be the first derivative of -6/5*n**2 - 18/5*n + 16/15*n**3 + 2/25*n**5 + 3/5*n**4 - 11. Suppose f(b) = 0. What is b?
-