 12*j. Let d(p) = 0. Calculate p.
-2, 0
Suppose 3 = 2*s - 1. Let l(h) be the third derivative of h**s - 1/60*h**6 + 0*h - 1/10*h**5 - 1/6*h**4 + 0 + 0*h**3. Factor l(f).
-2*f*(f + 1)*(f + 2)
Let b be (-3)/(1 - 5 - -3). Let z(c) be the second derivative of -3*c + c**2 + 1/10*c**5 - 1/3*c**b + 0 - 1/6*c**4. Factor z(k).
2*(k - 1)**2*(k + 1)
Let s(h) = -2*h + 2. Let q be s(4). Let z be (8/168)/((-1)/q). Solve 0 - z*u**2 + 2/7*u = 0.
0, 1
Let r(b) be the third derivative of b**7/630 - b**6/180 + 2*b**2. Solve r(p) = 0 for p.
0, 2
Let a(d) be the second derivative of -1/42*d**4 + 0 + 3*d - 9/7*d**2 - 2/7*d**3. Find o such that a(o) = 0.
-3
Let f(j) be the first derivative of 1/11*j**4 + 2/55*j**5 + 0*j**2 + 0*j + 2/33*j**3 - 3. Suppose f(c) = 0. What is c?
-1, 0
Factor 0*w**2 + 1/5*w + 0 - 1/5*w**3.
-w*(w - 1)*(w + 1)/5
Suppose -5*a = 0, -4*x + 2*a + 0 = -16. Determine s, given that x*s**3 - 6*s - 4 - 8 + 17*s**2 - 5*s**2 + 2*s = 0.
-3, -1, 1
Let k(u) = -u**3 - 2*u - 1. Let j be k(-1). Let f be (-6)/4*1/(-3). Factor 1/4 - f*y + 1/4*y**j.
(y - 1)**2/4
Let s = 68 - 200/3. Factor -2/3*b**2 - s*b - 2/3.
-2*(b + 1)**2/3
Let z(h) = 3*h. Let w be z(1). Let t(g) be the third derivative of 0 + 0*g**6 + 0*g + 0*g**3 + 1/630*g**7 + 0*g**4 - w*g**2 + 0*g**5. Solve t(r) = 0.
0
Let y(j) be the second derivative of 5/16*j**4 + 0 + 1/6*j**3 - 1/2*j**2 + j. Factor y(b).
(3*b + 2)*(5*b - 2)/4
Factor 0 - 3/5*b + 3/5*b**2.
3*b*(b - 1)/5
Let z(b) = 8*b**5 - 4*b**4 + 11*b**3 - 5. Let d(a) = 15*a**5 - 9*a**4 + 21*a**3 - 9. Let w(p) = 5*d(p) - 9*z(p). Factor w(g).
3*g**3*(g - 2)*(g - 1)
Suppose 4/3 - 2/3*l**5 + 32/3*l**2 - 6*l - 28/3*l**3 + 4*l**4 = 0. Calculate l.
1, 2
Let a = -670 - -2755/4. Factor -3 - 15*k - a*k**2.
-3*(5*k + 2)**2/4
Let w(y) = 0*y**2 + 2*y**3 - 2*y**2 - 3 + 6 - 1 - 3*y. Let d be w(2). Suppose -4*u**2 + 6*u**4 + d + 2*u - 4*u**3 + 2*u**3 - 6*u**2 = 0. Calculate u.
-1, -2/3, 1
Let y(k) be the first derivative of 4*k**3/3 - 4*k + 2. Find b, given that y(b) = 0.
-1, 1
Let f(b) be the third derivative of -b**8/1848 - b**7/1155 + b**6/660 + b**5/330 - 2*b**2. Factor f(s).
-2*s**2*(s - 1)*(s + 1)**2/11
Let k(g) = -5*g**4 - 10*g**3 - 10*g**2 + 10*g + 15. Let u(z) = 5*z**4 + 11*z**3 + 9*z**2 - 11*z - 14. Let l(c) = 4*k(c) + 5*u(c). Let l(y) = 0. What is y?
-2, -1, 1
Let p = -1354/3 - -454. Factor 2*j**2 - p*j + 8/9.
2*(3*j - 2)**2/9
Let y(z) be the third derivative of -z**6/420 + z**4/28 + 2*z**3/21 + 17*z**2. Let y(h) = 0. Calculate h.
-1, 2
Solve -15/4*l**2 + 3/4*l**4 - 3/4*l**3 + 0 - 9/4*l = 0 for l.
-1, 0, 3
Let t(a) be the third derivative of -a**5/10 - 7*a**4/8 + 8*a**3/3 + a**2. Let f(w) = w**2 + 4*w - 3. Let q(v) = 11*f(v) + 2*t(v). Factor q(l).
-(l - 1)**2
Let g(r) be the first derivative of r**5/360 - r**4/18 + 4*r**3/9 - 3*r**2 - 4. Let v(i) be the second derivative of g(i). Find w, given that v(w) = 0.
4
Let l be (-4)/(-2)*(8 - 7). Factor 4*r**l + 4 - 8*r - 4*r**2 + 4*r**2.
4*(r - 1)**2
Let c = 57901/257890 + -3/3034. Let t = 3/17 + c. Find b, given that -4/5 + 2/5*b**2 + t*b = 0.
-2, 1
Let u(a) be the first derivative of -a**6/2 + 3*a**4/4 - 1. Solve u(h) = 0.
-1, 0, 1
Let z(r) = r**2 - 3*r. Let s(w) = 3*w**2 - 8*w. Let g(p) = -2*s(p) + 7*z(p). Let g(i) = 0. Calculate i.
0, 5
Let l(w) be the second derivative of 0 + 1/2*w**3 + w + w**2 - 1/20*w**5 + 0*w**4. Find j such that l(j) = 0.
-1, 2
Let h(r) = 3*r**3 + 2*r**2 - 3*r + 7. Let g(f) = -f**2 + 1. Let j(z) = -4*g(z) + h(z). Let k(c) = -c**2. Let q(p) = -j(p) - 9*k(p). Factor q(u).
-3*(u - 1)**2*(u + 1)
Let l = 2/7 + 8/21. Solve -l - 4/3*w - 2/3*w**2 = 0.
-1
Let u = 9 - 4. What is n in -50*n**5 - 93*n**4 + 12*n**2 - n + u*n**5 + n = 0?
-2, -2/5, 0, 1/3
Suppose -4*l = 2*j - 0*j, j = -5*l. Let i(y) be the second derivative of -y + 0 - 1/12*y**4 - 1/6*y**3 + j*y**2. Determine n so that i(n) = 0.
-1, 0
Let j = -13 - -15. Factor 0*k**2 + 30 + j*k**2 - 14 - 16*k + 16.
2*(k - 4)**2
Let o(h) be the third derivative of -h**9/756 - h**8/210 + h**6/45 + h**5/30 - 11*h**3/6 - 2*h**2. Let k(a) be the first derivative of o(a). Factor k(s).
-4*s*(s - 1)*(s + 1)**3
Suppose 0 + 0*l - 2/7*l**4 + 2/7*l**3 + 4/7*l**2 = 0. What is l?
-1, 0, 2
Factor 10 - 26*y**4 - 10 + 3*y**3 + 4*y**2 + 25*y**4.
-y**2*(y - 4)*(y + 1)
Let o(h) be the third derivative of h**9/68040 - h**8/15120 + h**6/1620 - h**5/540 + 7*h**4/24 + 9*h**2. Let l(w) be the second derivative of o(w). Factor l(n).
2*(n - 1)**3*(n + 1)/9
Suppose -c + 5 = 2*s, -2*c + 0*s - 4 = -3*s. Factor 3*j**2 + j + 2*j**2 - j**3 - j**2 - 5*j**2 + c.
-(j - 1)*(j + 1)**2
Let r = -608/177 + 6/59. Let l = -17/6 - r. Factor -1 - l*n**2 - 3/2*n.
-(n + 1)*(n + 2)/2
Let v(d) be the second derivative of -d**8/1008 + d**6/180 - d**4/72 - d**2/2 - 7*d. Let g(b) be the first derivative of v(b). Let g(t) = 0. What is t?
-1, 0, 1
Let x = -418 - -25081/60. Let j(z) be the third derivative of 0*z**3 + 0*z - 1/240*z**6 - z**2 + 0 + 0*z**4 - x*z**5. Determine b, given that j(b) = 0.
-2, 0
Let z = 21 + -19. Let -2/3*r**z + 2/3*r + 0 = 0. Calculate r.
0, 1
Let z be 1/5 - 22/(-40). Let b(g) be the second derivative of -3*g + 5/2*g**3 - 1/10*g**6 - 33/16*g**4 + 0 - 3/2*g**2 + z*g**5. Factor b(d).
-3*(d - 2)**2*(2*d - 1)**2/4
Let d(x) be the first derivative of x**3/4 + 3*x**2/4 - 9*x/4 - 9. Factor d(b).
3*(b - 1)*(b + 3)/4
Factor 2*m - 1/2*m**3 + 0*m**2 + 0.
-m*(m - 2)*(m + 2)/2
Let r = -41 - -41. Factor 0 + r*m - 1/2*m**2.
-m**2/2
What is i in -4/3*i**3 - 4*i - 4/3 - 4*i**2 = 0?
-1
Solve -2*l**5 + 4*l**2 - 2*l - 14*l**2 + 10*l**2 + 4*l**3 = 0 for l.
-1, 0, 1
Let -9*t + t + 0*t + 10*t**2 - 2*t**3 = 0. What is t?
0, 1, 4
Let m(a) = -a**3 + 3*a**2 - a - 2. Let n be m(2). Solve 29 + n*s**4 - 28 - 2*s**2 + s**4 = 0 for s.
-1, 1
Let j be (-1 - (-4 - -3))/1. Suppose j = -4*g + b + 3*b - 8, 0 = -3*g - 4*b + 22. Let 1/3 - a + a**g - 1/3*a**3 = 0. Calculate a.
1
Let l(u) = -u**4 - 5*u**3 + 2*u - 3 + 5*u**2 + 4*u - u - 4*u**2. Let o(v) = v**4 + 4*v**3 - v**2 - 4*v + 2. Let k(c) = -2*l(c) - 3*o(c). Solve k(h) = 0.
-2, -1, 0, 1
Let h(j) = 48*j**5 + 3*j**2 - 3*j - 3. Let c(w) = -144*w**5 + w**3 - 8*w**2 + 8*w + 8. Let o(a) = 3*c(a) + 8*h(a). Factor o(s).
-3*s**3*(4*s - 1)*(4*s + 1)
Let u(k) be the first derivative of k**4 - 2*k**2 - 2/5*k**5 - 2 + 0*k + 2/3*k**3. Determine v so that u(v) = 0.
-1, 0, 1, 2
Factor -188*u + 89*u - 4*u**2 + 95*u.
-4*u*(u + 1)
Let k(a) be the second derivative of -a**6/75 - a**5/25 - a**4/30 - 5*a. Factor k(z).
-2*z**2*(z + 1)**2/5
Factor 7*p**2 - 2*p**2 - 5*p - p**2 + 4*p**3 - 3*p.
4*p*(p - 1)*(p + 2)
Let 9/2*a**3 + 0*a + 3/2*a**4 - 6*a**2 + 0 = 0. What is a?
-4, 0, 1
Let a(x) = -603*x**3 + 351*x**2 - 33*x - 15. Let h(y) = 0*y - y - 7*y + 88*y**2 - 81*y**3 - 70*y**3 - 4. Let q(c) = -4*a(c) + 15*h(c). Let q(b) = 0. What is b?
0, 2/7
Solve -2/5*d**2 + 4/5*d - 2/5 = 0 for d.
1
Let w(s) be the first derivative of -7*s**6/5 + 68*s**5/25 - s**4/10 - 32*s**3/15 + 4*s**2/5 + 6. Find f such that w(f) = 0.
-2/3, 0, 2/7, 1
Suppose 6*s - 23 = -11. Let o(c) be the second derivative of -3*c + 0 + 2/5*c**s + 3/50*c**5 + 7/15*c**3 + 4/15*c**4. Find h such that o(h) = 0.
-1, -2/3
Let b be 152/95*10/4. Solve 1/4*s**b + s**5 - 2*s**3 - 1/2*s**2 + 1/4 + s = 0.
-1, -1/4, 1
Let p(v) be the second derivative of v**5/2 - 5*v**4/6 - 11*v**3/6 + 3*v. Let o(m) = m**3 - m**2 - m. Let q(z) = 22*o(z) - 2*p(z). Solve q(j) = 0.
0, 1
Let j = 1606/215 - 46/43. Factor -16/5*d**3 - j - 48/5*d**2 - 64/5*d - 2/5*d**4.
-2*(d + 2)**4/5
Let h(w) be the third derivative of w**7/3360 + w**6/960 - w**5/80 + w**4/8 - 5*w**2. Let f(v) be the second derivative of h(v). Find c, given that f(c) = 0.
-2, 1
Let l = 0 + 4. Factor 89*g**4 + 24*g + 69*g**4 - 69*g**2 - 57*g**3 + 84*g**l - 75*g**5 - 77*g**4 + 12.
-3*(g - 1)**3*(5*g + 2)**2
Let u(t) = 30*t**2 - 55*t - 60. Let z(q) = 5*q**2 - 9*q - 10. Let j(m) = -4*u(m) + 25*z(m). Factor j(i).
5*(i - 2)*(i + 1)
Suppose -5*u = -3*u - 14. Let c(k) = k**2 - 3*k + 8. Let q(d) = 2*d - 9. Let j(v) = u*c(v) + 6*q(v). Determine b so that j(b) = 0.
2/7, 1
Let w(d) = -d**2 + 1. Let l be w(-1). Let v(f) be the first derivative of 1/2*f + l*f**3 - 1 - 1/4*f**4 + 1/2*f**2 - 1/10*f**5. Solve v(n) = 0 for n.
-1, 1
Let d be ((-12)/54)/(128/(-36) + 3). Factor -2/5 + 2/5*y**3 - 2/5*y + d*y**2.
2