*s**3 - 22*s**r - 24*s**3 - 16*s = 0. What is s?
-2, -2/7, 0
Let l(k) be the third derivative of k**8/2520 - k**7/525 + k**6/300 - k**5/450 - 8*k**2. Let l(i) = 0. What is i?
0, 1
Let p(r) be the first derivative of -2 - 2/21*r**3 + 0*r - 2/7*r**2. Let p(g) = 0. What is g?
-2, 0
Let i be 2 - ((-2 - -1) + 3). Let s(a) be the first derivative of -3/4*a**2 + 1 + 3/8*a**4 + i*a - 1/2*a**3 + 3/10*a**5. Solve s(j) = 0 for j.
-1, 0, 1
Let t(a) = -a**4 + a**2 - a. Suppose 3*v + x = 5, 4*v + 2*x = -0*x + 8. Let y(o) = 4*o**4 - 4*o**3 - 2*o**2 + 6*o - 2. Let d(p) = v*y(p) + 2*t(p). Factor d(m).
2*(m - 1)**3*(m + 1)
Let f(a) be the third derivative of -a**8/336 + a**6/30 - a**5/30 - a**4/8 + a**3/3 + 7*a**2. Solve f(o) = 0.
-2, -1, 1
Let w(p) be the second derivative of -p**7/357 - 7*p**6/255 - 9*p**5/85 - 11*p**4/51 - 13*p**3/51 - 3*p**2/17 - 19*p. Factor w(i).
-2*(i + 1)**4*(i + 3)/17
Let z(i) be the third derivative of 0 + 0*i**3 + 1/12*i**4 - 2*i**2 - 1/15*i**5 + 0*i + 1/60*i**6. Factor z(t).
2*t*(t - 1)**2
Let u = -3114/5 - -547. Let s = 76 + u. Factor -3/5*q - 2/5 - s*q**2.
-(q + 1)*(q + 2)/5
Let d(p) = p**3 + 3*p**2 - 6*p - 6. Let z be d(-4). Suppose 0 = -2*q + z. Factor -5*h**2 - 2*h + q + 4*h**2 - 2.
-(h + 1)**2
Let j(z) be the first derivative of z**3/2 + 39*z**2/2 + 507*z/2 + 3. Solve j(d) = 0 for d.
-13
Let b be (-1032)/18 + 1 + 2. Let i = b + 55. Find o such that 2/3 + 0*o - i*o**2 = 0.
-1, 1
Let b(n) = -n + 16. Let z be b(12). Let -5*o**3 + 8*o**2 + 5*o**3 + 4*o**3 - 12*o**z = 0. Calculate o.
-2/3, 0, 1
Let d(m) = -3*m**2 + 4*m + 2. Let k(l) = l**2. Let b(h) = -d(h) - 2*k(h). Let u be b(5). Factor -3*r**2 + r - r**2 + 2*r**2 - r**u + 2.
-(r - 1)*(r + 1)*(r + 2)
Let d(s) be the first derivative of -s**5/20 + s**3/4 - s**2/4 - 6. Suppose d(j) = 0. What is j?
-2, 0, 1
Let n = -593 + 595. Find z such that 0*z**4 + 0*z**n + 0 + 0*z - 3/7*z**5 + 3/7*z**3 = 0.
-1, 0, 1
Suppose -4*r + 0*r = 0. Suppose r = -2*v + z + 10, -5*v + 2*z + 19 = z. Suppose -2/3*x**4 + 0*x + 0*x**2 + 0 - 2/3*x**v = 0. Calculate x.
-1, 0
Suppose -20*h = -174 + 134. Factor 0*p + 2/9*p**4 + 0 + 2/9*p**5 - 2/9*p**3 - 2/9*p**h.
2*p**2*(p - 1)*(p + 1)**2/9
Let r(c) = c**3 + 4*c**2 + c - 6. Let s(n) = n**3 + 3*n**2 + n - 5. Let v(b) = -5*r(b) + 6*s(b). Factor v(u).
u*(u - 1)**2
Let v(r) be the second derivative of -r**6/15 + r**5/5 + 2*r**4/3 - 2*r**3/3 - 3*r**2 + 17*r. Factor v(p).
-2*(p - 3)*(p - 1)*(p + 1)**2
Let t be 62/50 + 3/(-9). Let s = -6/25 + t. Determine x so that s + 2*x**4 - 4/3*x**3 - 8/3*x**2 + 4/3*x = 0.
-1, -1/3, 1
Let o = -23 + 25. Let x(m) be the first derivative of 2 + 0*m**o + 0*m**3 + 1/10*m**5 + 0*m - 1/8*m**4. Factor x(h).
h**3*(h - 1)/2
Let k(v) be the second derivative of -v**7/15120 - v**6/1080 - v**5/180 - 5*v**4/12 - v. Let m(u) be the third derivative of k(u). Factor m(q).
-(q + 2)**2/6
Let s = 332 - 332. Suppose s - 2/3*b**2 + 2*b = 0. Calculate b.
0, 3
Let r(d) = d**2 + 5*d - 5. Let k be r(-5). Let m(i) = i + 12. Let n be m(k). Solve -f**3 + n*f**3 + 0*f**3 + 6*f**2 + 2*f + 2*f**4 = 0 for f.
-1, 0
Let u(k) = 30*k**2 + 6*k. Let x(f) = f**2 - f. Let l(g) = u(g) - 2*x(g). Factor l(o).
4*o*(7*o + 2)
Let k(s) = s + 7. Let y be k(-5). Let f = -36 - -39. Find h, given that 1/5 + h + 2*h**f + h**4 + y*h**2 + 1/5*h**5 = 0.
-1
Let m(f) = f**4 - f + 1. Let a(g) = 0*g**3 - 9*g + 6*g**4 - 3*g**3 + 4*g**3 + 5*g**3. Let c(k) = a(k) - 3*m(k). Factor c(i).
3*(i - 1)*(i + 1)**3
Let z be ((-1)/(-2))/((-2)/36). Let v(g) = -g**2 - 8*g + 11. Let n be v(z). Factor -2*i**n - 8*i**2 - 8 + 4 - 14*i.
-2*(i + 1)*(5*i + 2)
Let t = -12 - -10. Let x be 0 + t/3*-1. Factor 0*s**2 + x*s - 2/3*s**3 + 0.
-2*s*(s - 1)*(s + 1)/3
Suppose -18 + 0 = -9*j. Suppose 1/2*u**3 - 1/2 + 1/2*u**j - 1/2*u = 0. What is u?
-1, 1
Let k(r) be the first derivative of 3*r**4/4 - 4*r**3 - 9. Find s such that k(s) = 0.
0, 4
Let z(j) be the second derivative of 0 + 7/90*j**6 + 0*j**3 + 1/12*j**5 - 1/18*j**4 - 3*j + 0*j**2. Suppose z(s) = 0. Calculate s.
-1, 0, 2/7
Let 3 - 26*x + 10*x**3 + 1 + 18*x**4 + 58*x**2 - 64*x**3 = 0. What is x?
1/3, 2/3, 1
Let b = 1/26 - -95/234. Solve -b*p**5 + 2/3*p**2 + 0 + 2/9*p**3 - 2/3*p**4 + 2/9*p = 0 for p.
-1, -1/2, 0, 1
Let x be (32/(-68))/(-4) + (-2)/17. Factor x*l**2 + 0*l**4 + 0 + 0*l + 2/9*l**3 - 2/9*l**5.
-2*l**3*(l - 1)*(l + 1)/9
Let l(i) be the second derivative of -i**10/30240 + i**9/15120 + i**8/6720 - i**7/2520 + 2*i**4/3 - 9*i. Let j(o) be the third derivative of l(o). Factor j(n).
-n**2*(n - 1)**2*(n + 1)
Let u(w) = w**3 - 7*w**2 - 9*w + 5. Let p be u(8). Let c = p + 7/2. Factor d**2 - 3/2*d + d**3 + c - 3/2*d**4 + 1/2*d**5.
(d - 1)**4*(d + 1)/2
Let a be (16/360)/(6/9). Let p(q) be the second derivative of -1/45*q**6 + a*q**5 + 1/6*q**4 - 4/9*q**3 - 4*q + 0 - 4/3*q**2. Factor p(f).
-2*(f - 2)**2*(f + 1)**2/3
Suppose -4*r + x + 0 = -9, 2*r - 5*x - 9 = 0. Factor -14/3*j + 4/3 - 10/3*j**r + 8/3*j**3.
2*(j - 2)*(j + 1)*(4*j - 1)/3
Let v(p) = p**4 - 2*p**2 - 4*p + 1. Let l(i) = 2*i**4 - 4*i**2 - 7*i + 2. Let w(a) = -a**2 - 8*a - 9. Let h be w(-4). Let y(f) = h*v(f) - 4*l(f). Factor y(z).
-(z - 1)**2*(z + 1)**2
Let p(f) be the first derivative of 7*f**6/8 - 69*f**5/20 + 81*f**4/16 - 13*f**3/4 + 3*f**2/4 + 25. Solve p(y) = 0 for y.
0, 2/7, 1
Let b(r) = -21*r**5 - 20*r**4 - 10*r**3 - 11*r**2 + 11*r. Let x(p) = -4*p**5 - 4*p**4 - 2*p**3 - 2*p**2 + 2*p. Let k(s) = 2*b(s) - 11*x(s). Factor k(v).
2*v**3*(v + 1)**2
Suppose -8 = -10*v + 6*v. Let o be -1 + (v - (-10)/(-14)). Factor 0 + o*g**2 + 2/7*g.
2*g*(g + 1)/7
Let w(b) = b**3 + 9*b**2 + b + 11. Let a(r) be the second derivative of r**4/12 + r**2/2 + 2*r. Let i(t) = 22*a(t) - 2*w(t). Solve i(c) = 0.
0, 1
Let j(f) = f**2 + f - 6. Let x be j(2). Determine b so that 1/5*b**3 + 0*b**2 + 0 + x*b**4 - 1/5*b**5 + 0*b = 0.
-1, 0, 1
Let w be (4/1616)/(3/380). Let i = w + 2/101. What is d in i*d**2 - 2/3*d + 1/3 = 0?
1
Factor 0 + 0*t**2 + 3/5*t**3 - 3/5*t**5 + 0*t**4 + 0*t.
-3*t**3*(t - 1)*(t + 1)/5
Let n = 9/68 + -209/1836. Let y(o) be the second derivative of -1/45*o**5 - n*o**4 + 0*o**2 - 1/135*o**6 + 0*o**3 + 0 - o. Factor y(x).
-2*x**2*(x + 1)**2/9
Let f be (1 - -1)*1 + -2. Suppose -2*b + 3*y + 4 = f, -2*b + 2*y + 2 = -b. Factor 2*x**4 + b*x**3 - 3*x + 3*x - 2*x**5 - 2*x**2.
-2*x**2*(x - 1)**2*(x + 1)
Let u(x) = -5*x**2 - 14*x**3 + 24*x**3 - 11*x**3 + 4. Let s be u(-5). Factor 2/3*i**s + 0 + 0*i + 0*i**2 + 2/3*i**3.
2*i**3*(i + 1)/3
Let w(i) be the second derivative of i**6/165 + 8*i**5/55 + 16*i**4/11 + 256*i**3/33 + 256*i**2/11 + 5*i. Determine r, given that w(r) = 0.
-4
Let j be 35/4 + 24/(-32). Factor -18*z**3 - 8*z**5 + 24*z**4 + 4*z**2 + j*z - 8*z.
-2*z**2*(z - 2)*(2*z - 1)**2
Let g(n) = -3*n**2 + n - 1. Let x(c) = -4*c**2 + 2*c. Let l(w) = 6*g(w) - 5*x(w). Factor l(b).
2*(b - 3)*(b + 1)
Let u(n) be the third derivative of -n**7/630 + n**6/180 + 7*n**5/180 + n**4/18 - 31*n**2. What is g in u(g) = 0?
-1, 0, 4
Let k(j) be the second derivative of -j**7/168 - j**6/60 + j**5/40 + j**4/6 + 7*j**3/24 + j**2/4 - 9*j. Determine n so that k(n) = 0.
-1, 2
Suppose -21/8*d**2 - 27/8*d - 3/4 = 0. Calculate d.
-1, -2/7
Suppose 0 - 2/3*s**2 - 2/3*s = 0. Calculate s.
-1, 0
Let h(q) be the first derivative of q**3 + 15*q**2/2 + 12*q + 1. Factor h(v).
3*(v + 1)*(v + 4)
Suppose -2 = k + 3. Let x = 0 - k. Factor 1/5*i**x + 0*i + 3/5*i**4 + 3/5*i**3 + 0 + 1/5*i**2.
i**2*(i + 1)**3/5
Factor 13*x**2 + 0*x + x - 6*x + 3*x.
x*(13*x - 2)
Factor 24*v**3 - 16*v**4 - 20*v - 52*v**2 - 4 + 24*v**3 + 44*v.
-4*(v - 1)**2*(2*v - 1)**2
Let c(i) be the second derivative of -i**5/130 - i**4/39 + 4*i**3/39 + 8*i**2/13 - 3*i. Suppose c(j) = 0. What is j?
-2, 2
Let u(h) be the third derivative of h**5/60 + h**4/24 + h**3/3 - h**2. Let j be u(-2). Find k such that -k**j + 2*k**3 + 0*k**3 - k**3 = 0.
0, 1
Let m(g) be the third derivative of -g**2 - 1/180*g**5 + 0*g + 0*g**3 + 1/36*g**4 + 0. Let m(w) = 0. What is w?
0, 2
Suppose 0 = 3*m - v - 2, 2*m - 5*v + 0*v = -16. Solve 5/2*g - 3/2*g**m - 1 = 0 for g.
2/3, 1
Let u be 1/2*40/2. Solve -1 + 17*l**2 + 8*l**3 + 0 - 3 + 5*l**4 + u*l**3 = 0.
-2, -1, 2/5
Let g(y) = -16*y**3 + 25*y**2 - 2*y - 7. Let r be -10*4/40*4. Let u(x) = -15*x**3 + 24*x**2 - 3*x - 6. Let o(l) = r*u(l) + 3*g(l). Let o(n) = 0. Calculate n.
-1