0.
-2/5, -1/4, 0, 1
Let q(p) be the second derivative of p**7/63 - 4*p**6/45 + p**5/5 - 2*p**4/9 + p**3/9 - 2*p. Factor q(w).
2*w*(w - 1)**4/3
Let q(p) = 2*p + 10. Let i be q(-5). Let m(r) be the third derivative of -1/360*r**6 - 1/6*r**4 + i + 4/9*r**3 - 2*r**2 + 1/30*r**5 + 0*r. Factor m(u).
-(u - 2)**3/3
Let u(i) be the third derivative of i**6/540 - i**5/135 + i**4/108 + 18*i**2. Factor u(b).
2*b*(b - 1)**2/9
Determine f, given that 6*f + 0*f**2 - 3*f**3 + 2*f - 4*f**2 - f**3 = 0.
-2, 0, 1
Let k be (-80)/12*3/(-2). Suppose 5*l - k + 0 = 0. Find a such that -l*a**3 - 2*a**3 + 3*a**3 - a**5 - 2*a**4 = 0.
-1, 0
Let b(l) = 5*l**2 + 7*l + 2. Let s(h) = 4*h**2 + 6*h + 2. Let x = 9 + -7. Let f(z) = x*b(z) - 3*s(z). Factor f(i).
-2*(i + 1)**2
Let k(b) = -b**2 + 8*b - 7. Let f be (-2)/(-3)*21/2. Let s(q) = q**2 - 9*q + 8. Let a(o) = f*k(o) + 6*s(o). Find v, given that a(v) = 0.
1
Let v(p) be the third derivative of p**5/20 + p**4/4 + 2*p**2. Suppose v(g) = 0. What is g?
-2, 0
Solve -2/9*g**2 - 2/9 + 4/9*g = 0.
1
Let v(c) be the first derivative of 1/12*c**6 - 5/3*c**3 - 3 + 2/5*c**5 + 1/8*c**4 + 4*c - c**2. Determine q so that v(q) = 0.
-2, 1
Determine g, given that 28/5*g**2 - 132/5*g - 8 = 0.
-2/7, 5
Suppose 0 + 3/4*v**3 + 15/4*v**2 + 0*v = 0. Calculate v.
-5, 0
Let q be (-2)/((3/(-3))/1). Let k(c) be the first derivative of q*c - 2 - 2*c**3 + 4/5*c**5 - 1/2*c**4 + c**2. Determine h, given that k(h) = 0.
-1, -1/2, 1
Let n(g) = -10*g**3 - 27*g**2 - 32*g - 15. Let x(d) = -5*d**3 - 13*d**2 - 16*d - 8. Let i(u) = -4*n(u) + 7*x(u). Solve i(r) = 0 for r.
-2, -1, -2/5
Let f(y) be the second derivative of -y**6/10 - 9*y**5/20 - y**4/2 + 2*y. Factor f(m).
-3*m**2*(m + 1)*(m + 2)
Let h(b) be the second derivative of 9*b**5/80 + 5*b**4/16 - b**3/4 - 5*b. Suppose h(m) = 0. Calculate m.
-2, 0, 1/3
Factor 27*o - 2*o**2 + o**2 + 0*o**2 - 24*o + 4.
-(o - 4)*(o + 1)
Let u be (2 - 2)*(2 - 1). Suppose u = -4*v + 11 + 1. Factor -3*x - 7*x - 4 - 5*x**2 - 3*x**2 - 2*x**v.
-2*(x + 1)**2*(x + 2)
Let t be (-2)/(-2 - (-12)/8). Let s(v) be the second derivative of 0 + 1/30*v**t + v + 0*v**3 - 1/5*v**2. Solve s(j) = 0 for j.
-1, 1
Let p(j) = -4*j**4 - 4*j**3 + 5*j**2 + 3. Let m(v) = v**4 + v**3 - v**2 - 1. Let y(s) = -6*m(s) - 2*p(s). Factor y(w).
2*w**2*(w - 1)*(w + 2)
Let v(l) be the second derivative of l**4/8 - l**3/4 + 4*l. Suppose v(x) = 0. Calculate x.
0, 1
Let o(q) be the third derivative of 49*q**6/1800 - 7*q**5/75 + 2*q**4/15 + q**3 + 6*q**2. Let i(x) be the first derivative of o(x). Factor i(d).
(7*d - 4)**2/5
Let q(a) be the first derivative of 10*a**3/9 + 4*a**2/3 - 13. Factor q(d).
2*d*(5*d + 4)/3
Let g(f) = f**2 + 1. Let u(q) = 4*q**2 - 10*q - 2. Let p(t) = -4*g(t) - u(t). Determine b, given that p(b) = 0.
1/4, 1
Let c be (-27)/18*(-2)/6. Find o, given that -1/2*o**3 + 0*o**2 + c*o + 0 = 0.
-1, 0, 1
Let k(z) be the first derivative of 21/10*z**4 - 16/5*z**3 - 6/5*z + 8 + 27/10*z**2 + 1/10*z**6 - 18/25*z**5. Determine p so that k(p) = 0.
1, 2
Solve s**2 - 5*s**2 + 1 + 11 + 3*s**3 - 5*s**2 = 0 for s.
-1, 2
Let d(t) be the first derivative of -2/3*t**3 - 1/540*t**6 - 1/45*t**5 - 2 - 1/9*t**4 + 0*t**2 + 0*t. Let r(o) be the third derivative of d(o). Factor r(u).
-2*(u + 2)**2/3
Let v = 180 + -359/2. Factor -1/2*d**4 + v*d**2 + 0*d**3 + 0 + 0*d.
-d**2*(d - 1)*(d + 1)/2
Let -1/8*t**3 + 0*t + 0 + 1/4*t**2 - 1/8*t**4 = 0. Calculate t.
-2, 0, 1
Let i(w) be the third derivative of 2*w**2 - 1/21*w**5 + 1/84*w**4 + 0 + 0*w**3 + 0*w + 2/147*w**8 - 8/147*w**7 + 11/140*w**6. Suppose i(a) = 0. Calculate a.
0, 1/4, 1
Let s(v) be the third derivative of -v**6/135 - v**5/270 + v**4/27 + v**3/27 + 2*v**2. Factor s(j).
-2*(j - 1)*(j + 1)*(4*j + 1)/9
Let j(v) be the first derivative of -v**3 - 9*v**2/2 - 6*v - 48. Suppose j(y) = 0. What is y?
-2, -1
Let m be 0*((-10)/(-3) - (-3 + 6)). Factor m - 1/3*q**2 + 2/3*q.
-q*(q - 2)/3
Let w be (-48)/(-9) + 4/6. Let r(s) = s**4 + 9*s**3 - 9*s + 6. Let n(l) = -l**4 - 8*l**3 + 8*l - 5. Let y(k) = w*r(k) + 7*n(k). Factor y(o).
-(o - 1)*(o + 1)**3
Let g be (-40)/(-8 + 4 - 10). Suppose 8/7*u**2 - g*u - 12/7 = 0. What is u?
-1/2, 3
Suppose 33 = -d - 5*p + 10, 0 = -5*d - p + 5. Let b be 1*d + (3 - 4). Factor -b + 1/2*o**2 - 1/2*o.
(o - 2)*(o + 1)/2
Let i(t) be the second derivative of 1/70*t**5 - 1/105*t**6 - 1/21*t**3 + 0*t**2 + 1/42*t**4 + 0 + 3*t. Solve i(h) = 0 for h.
-1, 0, 1
Let f(x) be the second derivative of 0*x**2 - 1/20*x**5 + 0*x**3 + 0 + 0*x**4 + 0*x**6 + 1/42*x**7 - 3*x. Determine m so that f(m) = 0.
-1, 0, 1
Let v = 6481/60 + -108. Let u(f) be the third derivative of -1/3*f**3 - 1/24*f**4 + 0 + v*f**5 + 0*f + 3*f**2. Factor u(q).
(q - 2)*(q + 1)
Determine h, given that -6*h - 4 - h**5 - h**5 - 21*h**2 + 25*h**2 + 13*h**3 - 5*h**3 = 0.
-1, 1, 2
Let r(x) be the third derivative of x**8/80 - x**7/56 - x**6/60 - 2*x**3/3 - 5*x**2. Let p(i) be the first derivative of r(i). Solve p(q) = 0 for q.
-2/7, 0, 1
Suppose -z = 2*z - 4*s - 140, 2*z + 2*s = 84. Let j = z + -175/4. Solve -j - 1/4*m**2 - 1/2*m = 0.
-1
Let u(p) be the second derivative of -1/2*p**4 - 1/10*p**5 - p**2 - p**3 + p + 0. What is l in u(l) = 0?
-1
Let o(z) be the first derivative of -z**5 + 3*z**4/4 + 5*z**3 - 19*z**2/2 + 6*z - 10. Suppose o(v) = 0. Calculate v.
-2, 3/5, 1
Let a be (6/78)/(5/10). Suppose 0 - a*p**2 - 2/13*p = 0. What is p?
-1, 0
Let r(l) be the first derivative of -1/3*l**3 + l + 6 + 0*l**2. Factor r(o).
-(o - 1)*(o + 1)
Factor -3*a**3 + 12*a + 6*a**2 + 6*a**3 - 21*a.
3*a*(a - 1)*(a + 3)
Find v, given that 2/11*v**3 + 4/11*v + 0 + 6/11*v**2 = 0.
-2, -1, 0
Determine i, given that -1/10*i**4 + 3/10*i**2 + 0*i**3 + 1/5*i + 0 = 0.
-1, 0, 2
What is x in 4*x**2 + 4 + 0*x + 3*x**2 - 5*x**2 - 6*x = 0?
1, 2
Let f(j) be the first derivative of 5*j**4 - 5*j**3 - 5*j**2/2 + 27. Factor f(h).
5*h*(h - 1)*(4*h + 1)
Let t(q) be the first derivative of 1/22*q**4 + 0*q**2 + 0*q - 2/33*q**3 + 4. Determine m so that t(m) = 0.
0, 1
Let c(d) = -d**3 + 3*d**2 - d + 1. Let k be c(2). Let r = 14 + -9. Factor 0*v + 0 + 0*v**2 - 1/4*v**r - 1/4*v**4 + 0*v**k.
-v**4*(v + 1)/4
Suppose 2*w = 3*l - 40, 4*w + 10 = l - 10. Let v be 10/l*(-8)/(-10). Let 0 + 2/3*h**3 - 2/3*h**4 + 0*h - 2/3*h**5 + v*h**2 = 0. What is h?
-1, 0, 1
Let o = 239 - 1669/7. Factor -o*z + 1/7*z**2 + 4/7.
(z - 2)**2/7
Let r = 103/190 + -4/95. Factor -9/2 - r*d**2 + 3*d.
-(d - 3)**2/2
Let l(m) = 3*m**2 - 14*m + 10. Let a(f) = 3*f**2 - 15*f + 9. Let u(s) = -2*a(s) + 3*l(s). Let u(i) = 0. What is i?
2
Let j(d) be the first derivative of -d**3/3 - d - 13. Let r(s) = -2*s - 3*s + 3*s. Let c(w) = -3*j(w) + 3*r(w). Factor c(o).
3*(o - 1)**2
Let n(m) be the second derivative of m**4/30 + m**3/15 + 12*m. Factor n(g).
2*g*(g + 1)/5
Suppose 0 = -2*r - 2*r - b + 16, -3*r + 5 = -b. Let c(t) be the second derivative of -7/15*t**6 - 1/2*t**5 + 1/3*t**4 + 0*t**2 + 0*t**3 + 0 + r*t. Factor c(x).
-2*x**2*(x + 1)*(7*x - 2)
Suppose -4*i - o = -7, 2*i + o + 11 = 7*i. Let n(v) be the second derivative of 0 + 5/36*v**4 - i*v + 5/12*v**5 + 2/3*v**2 - 8/9*v**3. Factor n(t).
(t + 1)*(5*t - 2)**2/3
Let q(o) = o + 13. Let s be q(-10). Factor -2*j**3 + 4*j - 6*j**2 + 7*j**3 - j - 2*j**s.
3*j*(j - 1)**2
Let l(y) = -y**2 + 4*y + 6. Let p be l(5). Let k be 1/(p/5 + 0). What is o in -o - k*o**2 - 25/4*o**3 + 0 = 0?
-2/5, 0
Let m(w) = -5*w - 1. Let k be m(-1). Suppose -4*r = k*y - 4, -y - 3*y = 2*r - 8. Factor 1/3 - q + q**2 - 1/3*q**y.
-(q - 1)**3/3
Let i(w) = -w**4 - 3*w**3 - 4*w - 4. Let g be (8/10)/((-4)/20). Let s(z) = -z**4 - 4*z**3 - 5*z - 5. Let a(f) = g*s(f) + 5*i(f). Factor a(y).
-y**3*(y - 1)
Solve 3*r**3 - 25*r + r**2 + 3*r**3 + 4*r**2 - r**3 + 15 = 0.
-3, 1
Suppose 3*b - 8*b + 30 = 0. Suppose 14 = 2*q + b. Find y, given that -y + 3*y - 2*y**3 - y**4 + 2*y**q - 1 = 0.
-1, 1
Let n(z) = 1. Let t(d) = 8*d**2 + 2*d - 8. Let s(p) = -p**2 + 1. Let v(g) = 6*s(g) + t(g). Let r(h) = 2*n(h) - v(h). Let r(b) = 0. Calculate b.
-2, 1
Suppose 0 = 2*j + 4*a, -5*j - a = -2*j - 5. Factor 1/2*c + 0*c**3 - c**4 + c**j + 0 - 1/2*c**5.
-c*(c - 1)*(c + 1)**3/2
Suppose 6 - 1 = 5*f. Let n be f/2 + (-13)/52. Suppose 0*g + 1/4*g**3 + 0 + n*g**2 = 0. What is g?
-1, 0
Let u(q) be the second derivative of q**4/9 - 8*q**3/9 - 10*q**2/3 - 8*q. Determine j, given tha