1)/4
Let b(k) be the first derivative of -k**3/12 + 3*k**2/8 + k - 14. Factor b(s).
-(s - 4)*(s + 1)/4
Let i(z) be the second derivative of -z**8/10080 - z**7/3780 - z**4/12 - 2*z. Let b(t) be the third derivative of i(t). Suppose b(l) = 0. Calculate l.
-1, 0
Let j(h) = -h**3 + h + 1. Let y(b) = -b**4 + 2*b**3 - 2*b**2 - 2*b + 5. Let n(w) = -2*j(w) + y(w). Solve n(a) = 0 for a.
-1, 1, 3
Let n(q) = q**4 + q**3 + q**2 + 1. Let z(o) = -o**4 - o**3 - 9*o**2 - 4*o - 5. Let u(y) = -5*n(y) - z(y). Suppose u(c) = 0. Calculate c.
-1, 0, 1
Let a(v) be the first derivative of 1/2*v**3 + 0*v + 3/4*v**2 + 3. Factor a(f).
3*f*(f + 1)/2
Let f(r) be the first derivative of -r**4/12 + 2*r**3/9 + 2*r**2/3 - 8*r/3 + 20. Solve f(q) = 0.
-2, 2
Let t(g) be the first derivative of -g**3/4 + 3*g**2 - 21*g/4 - 14. Factor t(u).
-3*(u - 7)*(u - 1)/4
Let g(r) = r**2 + r. Let n(s) = 72*s**2 + 33*s - 6. Let p(q) = -18*g(q) + n(q). Let p(j) = 0. What is j?
-1/2, 2/9
Let t = -14 - -43/3. Let g be 0/(0/2 + -2). Factor 0*j**3 + 0 + g*j + 0*j**2 + t*j**4.
j**4/3
Let c(z) be the third derivative of -z**6/40 + z**5/10 + 49*z**2. Find g such that c(g) = 0.
0, 2
Let c be (-66)/(-24) - (1 - -1). Let f(q) be the first derivative of -1 + 0*q - 4/5*q**5 + 0*q**2 - c*q**4 + 1/3*q**3. Find u, given that f(u) = 0.
-1, 0, 1/4
Let u = 68/3 - 22. Suppose 1/3*l**3 + 0 + 0*l + u*l**4 + 1/3*l**5 + 0*l**2 = 0. What is l?
-1, 0
Let n = -1 + 4. Let v(t) be the second derivative of 1/80*t**5 + 1/24*t**4 + 0*t**n - t + 0 + 0*t**2. Determine s, given that v(s) = 0.
-2, 0
Suppose 2*b - 4*b = 4*b. Let s(x) be the third derivative of 0*x**4 + b*x**5 + x**2 + 1/630*x**7 + 0 + 0*x**6 + 0*x + 0*x**3. Factor s(v).
v**4/3
Let n be (-1)/(((-28)/(-6))/(24/(-18))). Factor n*x + 2/7*x**2 + 0.
2*x*(x + 1)/7
Let b = -2084719243/379675786 - -4/874829. Let w = 2/217 - b. Determine f so that -1/2 - 5/4*f**5 - 19/2*f**3 - 8*f**2 - w*f**4 - 13/4*f = 0.
-1, -2/5
Suppose -5*b - 2 = -4*b. Let m be ((-20)/25)/(1 + b). Solve -m + 0*v**2 + 2/5*v**3 - 6/5*v = 0.
-1, 2
Suppose -60*l**3 + 73*l + 3*l**4 + 17*l**4 - 80*l**2 + 11*l**5 - 89*l + 5*l**5 = 0. What is l?
-2, -1, -1/4, 0, 2
Let l(n) be the first derivative of 2*n**5/45 + n**4/18 - 2*n**3/27 - n**2/9 - 15. Factor l(d).
2*d*(d - 1)*(d + 1)**2/9
Factor 2/3*m**2 + 0 - 10/3*m.
2*m*(m - 5)/3
Let w(z) be the third derivative of 1/1680*z**8 + 0*z**5 + 0*z - 1/300*z**6 + 1/120*z**4 + 4*z**2 + 0*z**3 + 0*z**7 + 0. Let w(j) = 0. Calculate j.
-1, 0, 1
Let s(r) = 2*r**2 + 3*r + 1. Let z be (-5 + 2)/((-6)/(-4)). Let g be s(z). Suppose -2*m - 3*m**3 - g*m**2 + 2*m = 0. Calculate m.
-1, 0
Suppose 0 = -4*h - 5*g - 19, h - g + 19 = -2*h. Let l be 2 + h + 4 + 2. Factor i**l - 1/3*i**3 + 1/3 - i.
-(i - 1)**3/3
Let o(s) be the first derivative of s + 0*s**2 + 10 + 3/20*s**5 - 7/12*s**3 - 1/24*s**6 + 1/16*s**4. Determine y, given that o(y) = 0.
-1, 1, 2
Let i be (-3)/(-6)*16/2. Determine o so that 2*o**3 - 2*o**5 - 5*o**3 - 4*o**3 + 5*o**3 - i*o**4 = 0.
-1, 0
Let a be 4/(-10) - (-6)/15. Suppose 90 = 5*b + 80. Find d such that 2/7*d**b - 2/7*d**3 + 0*d + a = 0.
0, 1
Let h be ((-39)/(-26))/((-3)/(-4)). Let j(c) be the first derivative of 3/4*c**4 + 1 + 0*c + 3/2*c**h - 2*c**3. Factor j(w).
3*w*(w - 1)**2
Let w(h) be the first derivative of 0*h + 2 - 1/24*h**4 - 1/18*h**3 + 0*h**2. Factor w(v).
-v**2*(v + 1)/6
Find x such that 0 - 2/11*x**3 + 2/11*x - 2/11*x**2 + 2/11*x**4 = 0.
-1, 0, 1
Let 2*x + 5*x**3 + x**2 - 4*x - 2*x**3 - 2*x**3 = 0. What is x?
-2, 0, 1
Let w(u) = -u**2 + u. Let j(p) = 3*p**2 - 11*p - 4. Let i(l) = -2*j(l) - 10*w(l). Suppose i(c) = 0. What is c?
-2, -1
Let z = -42 + 47. Let s(d) be the second derivative of -2/45*d**z + 4*d - 1/135*d**6 + 0 - 1/9*d**4 - 1/9*d**2 - 4/27*d**3. Factor s(x).
-2*(x + 1)**4/9
Suppose 2*g - 1 - 3 = 0. Factor -4*h + 2 + 2 + 0*h**g - 2 + 2*h**2.
2*(h - 1)**2
Let j(u) be the first derivative of 0*u**3 - 2*u + 0*u**5 + 0*u**2 - 1/36*u**4 + 1 + 1/90*u**6. Let o(q) be the first derivative of j(q). What is t in o(t) = 0?
-1, 0, 1
Let p(x) be the first derivative of -x**3 + 15*x**2 - 75*x - 7. Solve p(i) = 0 for i.
5
Suppose -16 = -3*s - 4. Suppose 7 = j - 2*v - s, 2*j + 2*v = -2. Solve 0*p**j + 0 + 2/7*p**4 + 0*p - 2/7*p**2 = 0 for p.
-1, 0, 1
Find u such that 4 + 4*u**4 + 4*u**2 - 12*u**4 - 11*u + u - u**3 + 9*u**3 + 2*u**5 = 0.
-1, 1, 2
Let y(s) = -6*s**3 + 5*s**2 + 8*s + 3. Let z(j) = 12*j**3 - 11*j**2 - 16*j - 5. Let g(h) = -5*y(h) - 3*z(h). Factor g(f).
-2*f*(f - 2)*(3*f + 2)
Let x(m) = -2*m**3 + m**2 - 1. Let i be x(1). Let l be (0 + i)*1/(-1). Factor 7*o**l + 3*o + o + 3*o**2.
2*o*(5*o + 2)
Let a(l) = 5*l**3 - 6*l**2 - 31*l - 31. Let q(i) = i**3 - i**2 - 6*i - 6. Let m(k) = 2*a(k) - 11*q(k). Let m(w) = 0. Calculate w.
-2, -1, 2
Solve -25/4*y**3 + 35/2*y**2 + 2 - 11*y = 0.
2/5, 2
Let f(p) be the second derivative of p**5/90 - p**4/27 + p**3/27 + 4*p. Factor f(u).
2*u*(u - 1)**2/9
Let c be 3 + (-3 - (-6)/9). Let t(o) be the first derivative of 0*o**2 - 2/5*o**5 + 1 - c*o**3 - o**4 + 0*o. Factor t(x).
-2*x**2*(x + 1)**2
Suppose 3*b - x - 9 = -2*b, -5*b + 25 = -5*x. Let r(t) be the first derivative of -1/12*t**4 + 1/6*t**2 + 0*t**3 + 0*t + b. Suppose r(n) = 0. Calculate n.
-1, 0, 1
Suppose -o + 11 = 4*c, o + o + 3*c = 12. Factor 7*z**2 - o - 2*z - z**2 - 1.
2*(z - 1)*(3*z + 2)
Let h be (5/(-55))/((-10)/20). What is b in 0 - 26/11*b**3 - h*b**5 - 8/11*b + 24/11*b**2 + 12/11*b**4 = 0?
0, 1, 2
Let d = -3 + 5. Let f(o) = -o + d*o**2 - 2 + 3*o**4 + 1 + 3 + 3*o. Let s(b) = -b**4 - b**2 - b - 1. Let n(l) = f(l) + 2*s(l). What is c in n(c) = 0?
0
Let b(l) be the second derivative of 3*l**5/100 - 2*l**4/5 + 21*l**3/10 - 27*l**2/5 - 55*l. Suppose b(t) = 0. What is t?
2, 3
Suppose 3 = -3*d, u - 3 - 2 = 5*d. Let n(r) be the first derivative of u*r**2 - 2/3*r**3 - 1 + 0*r - r**4 - 2/5*r**5. Factor n(g).
-2*g**2*(g + 1)**2
Let w = -43/15 - -21/5. Let 1/3*b**5 - b**4 - 1/3*b**3 - w + 0*b + 7/3*b**2 = 0. Calculate b.
-1, 1, 2
Suppose 9 = 3*q, 5*a - 3*a - 2*q + 4 = 0. Let j(k) = 36*k**2 + 28*k + 4. Let f(c) = 1. Let z(o) = a*j(o) - 12*f(o). Factor z(b).
4*(b + 1)*(9*b - 2)
Let 269*z**4 - 278*z**4 + 3*z**3 - 3*z**3 - 3*z**5 = 0. What is z?
-3, 0
Let k(u) be the second derivative of -u**7/4200 - u**6/1800 + u**5/600 - u**4/6 + 7*u. Let z(i) be the third derivative of k(i). Factor z(r).
-(r + 1)*(3*r - 1)/5
Let j(y) = y**4 - 3*y**2 + 3. Let q(c) = 4*c**4 - 14*c**2 + 14. Let f(i) = 14*j(i) - 3*q(i). What is d in f(d) = 0?
0
Let s be (3452/(-56))/(3/12). Let p = -246 - s. Suppose -10/7*j**2 - 6/7*j**3 + 0 + p*j = 0. What is j?
-2, 0, 1/3
Let a(b) be the first derivative of -b**4/10 + 2*b**3/15 + 2*b**2/5 - 2. Let a(c) = 0. What is c?
-1, 0, 2
Factor -2/3*f**2 + 2/3*f**4 + 0 + 2/3*f - 2/3*f**3.
2*f*(f - 1)**2*(f + 1)/3
Let u(p) be the third derivative of 2*p**7/735 - p**5/35 - p**4/21 + 8*p**2. Solve u(h) = 0 for h.
-1, 0, 2
Let j(t) be the second derivative of 8*t**6/75 - 2*t**5/5 + 17*t**4/60 - t**3/15 + 7*t. Factor j(i).
i*(i - 2)*(4*i - 1)**2/5
Let w be 20/108*17 + -3. Let i(r) be the third derivative of -w*r**3 + 0 + 2/27*r**4 + 1/54*r**5 + 0*r + 2*r**2. Factor i(m).
2*(m + 2)*(5*m - 2)/9
Let z be 5 + (2 - (-3)/(-3)). Let n = -3 + z. Factor 2*g - 6 - 8*g - 9*g - 3*g**n - 12*g**2.
-3*(g + 1)**2*(g + 2)
Suppose -3*v - 12*v - 2*v = 0. Find j such that -j**2 + 0*j - 25/4*j**4 + 5*j**3 + v = 0.
0, 2/5
Let k(g) = -2 + 0 + g**2 - 4*g + 3*g. Let u be k(3). Factor -2 + 0*c**u + c**4 - 2*c**3 + 2*c + 1.
(c - 1)**3*(c + 1)
Let q(w) = w**4 + w**2 + 1. Let u(v) = -2*v**5 + v**4 - 7*v**2 + 2*v - 3. Let y(o) = 3*q(o) + u(o). Factor y(l).
-2*l*(l - 1)**3*(l + 1)
Let i(k) = -3*k**3 + k**2 + 6*k. Let a(w) = -w**3 - w**2. Let y(p) = 12*a(p) - 3*i(p). Factor y(n).
-3*n*(n + 2)*(n + 3)
Factor 5/4*u**4 + 3/4*u**2 + 1/4*u**5 + 7/4*u**3 + 0 + 0*u.
u**2*(u + 1)**2*(u + 3)/4
Let u(v) be the first derivative of -8 + v**3 - 2*v**3 + 4. What is z in u(z) = 0?
0
Let q be 107/3 - 1/(-3). Let 36*c**4 - 15*c**3 - 12*c - q*c**2 - 10*c**5 - 9*c**5 + 48*c**3 - 2*c**5 = 0. What is c?
-1, -2/7, 0, 1, 2
Factor -9 + 33/2*j - 9/2*j**2.
-3*(j - 3)*(3*j - 2)/2
Let w(f) = -4*f**4 - f**3 + 20*f**2 + 12*f - 5. Let u(b) = 6*b**4 + 2*b**3 - 30*b**2 - 18*b + 8. Let c(m) = -5*u(m) - 8*w(m). Factor c(s).
2*s*(s - 