*p = 0. What is p?
0
Let u = -10 - -13. Let f(w) = w - 1. Let s be f(u). Let 3/5*r - 2/5 + 4/5*r**3 + 14/5*r**s - 12/5*r**4 - 7/5*r**5 = 0. What is r?
-1, 2/7, 1
Let l(j) = j**2 + 5*j + 3. Let n be l(-5). Determine o, given that -2*o**4 + n*o**2 + 3*o**3 - 5*o**4 - 3*o**5 + 2*o**4 + 2*o**4 = 0.
-1, 0, 1
Factor 2*n - 4*n + 2*n + 3*n**2.
3*n**2
Let h(k) = -k**3 + 5*k**2 - k - 5. Let i be h(5). Let c be 20/11 - i/55. What is n in 0 - 1/4*n - 1/4*n**3 + 1/2*n**c = 0?
0, 1
Let h(c) be the third derivative of c**6/64 - 3*c**5/160 - c**4/32 + 30*c**2. Factor h(g).
3*g*(g - 1)*(5*g + 2)/8
Solve 4*h**4 + 18 - 2*h**4 - 8*h**3 + 15*h - 4*h**2 + 10*h - h = 0.
-1, 3
Let g(b) be the third derivative of b**6/270 + b**5/45 + b**4/18 + 2*b**3/27 + 5*b**2. Suppose g(i) = 0. What is i?
-1
What is q in 2*q + 9 + 5*q**2 - 12 - 4*q**2 = 0?
-3, 1
Suppose 4*m = 8 + 12. Let q(s) be the second derivative of 0 + 2*s**2 + s - 1/21*s**7 - 4/15*s**6 - 2/5*s**m + 5/3*s**3 + 1/3*s**4. Factor q(r).
-2*(r - 1)*(r + 1)**3*(r + 2)
Let r(g) be the second derivative of -g**4/36 + g**3/6 - g**2/3 + 4*g. Determine l so that r(l) = 0.
1, 2
Suppose 0 = -0*z + 3*z - 36. Factor 4 - z*g**4 + 12*g - 14*g**3 - g**5 + 8*g**2 - 3*g**5 + 6*g**3.
-4*(g - 1)*(g + 1)**4
Factor 58*l**5 + 10*l**2 + 16*l**3 + 9*l**3 - 53*l**5 + 20*l**4.
5*l**2*(l + 1)**2*(l + 2)
Let q be (-40)/(-12) - (-4)/6. Factor 2*h**q + h**5 + 0*h**5 - h**4.
h**4*(h + 1)
Suppose 2*d + 6 + 4 = 0. Let o = 5 + d. Suppose 0*j + 2/7*j**3 + 0 + o*j**2 - 8/7*j**4 = 0. What is j?
0, 1/4
Suppose 0 = -2*b - 3*b + 45. Let d = 9 - b. Factor 1/3*g + 1/3*g**2 + d.
g*(g + 1)/3
Let x be (-2 - -4) + -2 + 3/4. Solve 0 - 3/4*z**4 + 3/2*z + 9/4*z**3 - x*z**5 + 15/4*z**2 = 0 for z.
-1, 0, 2
Suppose 0 = -5*v - 3*x - 12, 2*v = v - x - 4. Suppose 0*q**2 + 0 - 1/2*q**3 + v*q = 0. Calculate q.
0
Let m(u) be the third derivative of -u**9/80640 + u**8/20160 + u**7/5040 + u**5/20 + u**2. Let g(k) be the third derivative of m(k). Factor g(a).
-a*(a - 2)*(3*a + 2)/4
Let o = 899 - 30589/34. Let i = -3/17 - o. Factor 1/2 - 1/2*g**2 - 1/2*g**3 + i*g.
-(g - 1)*(g + 1)**2/2
What is k in -6*k - k**2 + 1/2*k**4 + 2*k**3 + 9/2 = 0?
-3, 1
Let h(o) be the first derivative of -o**6/45 + o**5/10 - o**4/6 + o**3/9 - 4*o + 4. Let f(t) be the first derivative of h(t). Factor f(c).
-2*c*(c - 1)**3/3
Let p(f) = -11*f**2 - f + 2. Let s(v) = -v**2 + v. Let m(q) = -q + 2. Let o be m(3). Let u(t) = o*p(t) + 4*s(t). Factor u(n).
(n + 1)*(7*n - 2)
Let y(d) be the third derivative of d**6/80 + 3*d**5/20 + 11*d**4/16 + 3*d**3/2 - 11*d**2 + d. Factor y(k).
3*(k + 1)*(k + 2)*(k + 3)/2
Let m(c) be the third derivative of -4*c**7/315 + c**6/36 + 19*c**5/90 + 7*c**4/36 - c**3/3 - 4*c**2. Solve m(v) = 0.
-1, 1/4, 3
Find a such that 6/7*a - 1/7*a**2 - 1/7*a**3 + 0 = 0.
-3, 0, 2
Suppose 0 = -2*v + v. Let m(u) be the third derivative of 1/210*u**5 + 0 + v*u + 0*u**6 + 0*u**4 + 2*u**2 - 1/735*u**7 + 0*u**3. Factor m(t).
-2*t**2*(t - 1)*(t + 1)/7
Let r(a) = -a**4 - 4*a**3 - 37*a**2 + 48*a + 5. Let f(m) = -2*m**4 - 6*m**3 - 56*m**2 + 72*m + 8. Let g(t) = -5*f(t) + 8*r(t). Factor g(w).
2*w*(w - 2)**2*(w + 3)
Suppose 2*k - 1 = 3*s - 7, -2*k + 4*s - 10 = 0. Let r be (k/5)/(56/80). Factor r*v**4 + 2*v**2 + 16/7*v**3 + 4/7*v + 0.
2*v*(v + 1)**2*(3*v + 2)/7
Let o(d) = d - 8. Let v be o(-9). Let c = -17 - v. Let 0*t + 1/3*t**2 + c + t**3 = 0. Calculate t.
-1/3, 0
Let d be (1 + -1)*(-2)/(-16)*4. Factor 0*p**2 + 0*p + d - 1/5*p**3.
-p**3/5
Let u(a) be the first derivative of -25*a**6/6 - 22*a**5 - 115*a**4/4 + 70*a**3/3 + 70*a**2 + 40*a + 41. Find i, given that u(i) = 0.
-2, -1, -2/5, 1
Let v(a) = a**2 - a - 1. Let p(l) = -3*l**2 + 2. Let z(d) = -d**3 - 2*d**2 + d - 2. Let k be z(-3). Let b(s) = k*v(s) + 2*p(s). Factor b(q).
-2*q*(q + 2)
Let n be 2/(75/12*(-2)/(-35)). Factor -16/5*a - 16/5 + 48/5*a**2 + a**4 - n*a**3.
(a - 2)**3*(5*a + 2)/5
Let q be 6/30 - (-3)/10. Let j be (-5)/(25/5) - -1. Factor -1/2*z**4 + 1/2*z**2 + q*z - 1/2*z**3 + j.
-z*(z - 1)*(z + 1)**2/2
Suppose -7/5*z**5 + 1/5*z + 16/5*z**2 + 26/5*z**4 - 34/5*z**3 - 2/5 = 0. Calculate z.
-2/7, 1
Let q(a) = -a**2 - 4*a + 7. Let w = 5 + -10. Let x be q(w). Factor 0 - 1/2*z**x - 1/2*z.
-z*(z + 1)/2
Let x(d) be the first derivative of 0*d + 1/20*d**5 - 1/12*d**3 + 1 + 1/16*d**4 - 1/8*d**2. Suppose x(a) = 0. What is a?
-1, 0, 1
Suppose -6*q**2 + 6 + 25*q - 3*q**3 + 18*q**2 + 4*q**3 - 8*q**3 = 0. Calculate q.
-1, -2/7, 3
Find u such that 1/4*u**4 + 1/4*u**3 + 0*u + 0*u**2 + 0 = 0.
-1, 0
Let m(f) = 1 + f**2 - 2*f**2 - f**4 + f**3 + 2*f**4. Let u(s) = 8*s**4 - 20*s**3 + 8*s - 4. Let c(y) = -4*m(y) - u(y). What is q in c(q) = 0?
-2/3, 0, 1
Suppose 2*s + 4*w + 9 - 7 = 0, -6 = 2*w. Factor 8/3*q**4 + 2/3*q**s + 4*q**3 + 0 + 2/3*q + 8/3*q**2.
2*q*(q + 1)**4/3
Suppose 30 = -3*a - 2*a. Let w = a + 9. Determine x, given that 0*x**2 - 4*x**3 - 4 + 5*x**w + 3*x**2 = 0.
-2, 1
Suppose -3*h + 4*y + 10 = 0, -4*y - 9 = 7. Let d be h/8 + 6/8. Factor d*a**2 + 1/2*a - 1/2*a**3 - 1/2.
-(a - 1)**2*(a + 1)/2
Let t(j) be the second derivative of -4*j**5/5 + 2*j**4 + 5*j**3/2 + j**2 - j. Suppose t(q) = 0. What is q?
-1/4, 2
Let i(y) be the first derivative of -15*y**5 + 135*y**4/4 - 24*y**3 + 6*y**2 + 9. Solve i(x) = 0 for x.
0, 2/5, 1
Suppose 4*v - v + 15 = 4*s, v - 5 = -2*s. Suppose 4*m + 1 = 5*z - 1, s*z = 3*m. Factor 2/3*r**5 + 0*r + 0 + 2*r**3 + 2/3*r**2 + m*r**4.
2*r**2*(r + 1)**3/3
Let i(b) = b**2 + 3*b + 1. Let f be i(-4). Factor 15*o**2 - 4 + 1 + 9*o + 18*o**3 - 7*o**3 + 3*o**4 + f.
(o + 1)**3*(3*o + 2)
Let k = 89/84 - 13/42. Suppose k*b + 3/4*b**2 + 1/4*b**3 + 1/4 = 0. What is b?
-1
Let u(s) be the second derivative of 3*s**5/20 + 21*s**4/4 + 147*s**3/2 + 1029*s**2/2 - 23*s. Factor u(x).
3*(x + 7)**3
Factor -4*c**2 + 4*c**2 + 3 + c**2 + 4*c + 0*c**2.
(c + 1)*(c + 3)
Let g(u) be the third derivative of u**6/40 - 3*u**5/10 + 9*u**4/8 + 29*u**2. Factor g(f).
3*f*(f - 3)**2
Let m(s) = 2*s**2 + 20*s + 15. Let c(v) = v**2. Let q(z) = 3*c(z) + m(z). Factor q(l).
5*(l + 1)*(l + 3)
Suppose 3*t + 23 - 5 = 0. Let z = t - -10. Suppose -1/3*h - 1/3*h**5 + 0 + 2/3*h**3 + 0*h**2 + 0*h**z = 0. What is h?
-1, 0, 1
Let -2/7*j**3 + 0 + 0*j - 2/7*j**2 = 0. Calculate j.
-1, 0
Let x(l) be the third derivative of -l**8/168 - 2*l**7/105 + l**5/15 + l**4/12 - 11*l**2. Let x(i) = 0. What is i?
-1, 0, 1
Suppose 0 + 0*c + 0*c**2 + 2/11*c**4 + 4/11*c**3 = 0. Calculate c.
-2, 0
Suppose 3*b - 15 = -2*q, 0*q - 2*q + 10 = -2*b. Let o be 2/8 + 8/(704/42). Factor -8/11 - o*g**4 + 40/11*g - q*g**2 + 40/11*g**3.
-2*(g - 2)**2*(2*g - 1)**2/11
Let x(w) be the third derivative of 7*w**5/60 + w**4/6 + 7*w**3/6 - 3*w**2. Let c(m) = m**2 + 1. Let q(n) = -5*c(n) + x(n). Factor q(g).
2*(g + 1)**2
Let u(g) be the first derivative of -2/15*g**3 - 3/5*g**2 - 4/5*g - 1. Find x such that u(x) = 0.
-2, -1
Let k(q) be the third derivative of -4/3*q**3 + 6/5*q**7 - 5/21*q**8 - 17/30*q**5 + 0 - 89/60*q**6 - 3*q**2 + 2*q**4 + 0*q. Suppose k(p) = 0. Calculate p.
-1/2, 1/4, 2/5, 1, 2
Let c(p) be the first derivative of p**5/10 + p**4/6 - 6*p + 3. Let o(q) be the first derivative of c(q). Determine j, given that o(j) = 0.
-1, 0
Let b(j) = -11*j**3 + 90*j**2 - 546*j + 1086. Let f(u) = -120*u**3 + 990*u**2 - 6005*u + 11945. Let d(m) = 65*b(m) - 6*f(m). Solve d(q) = 0 for q.
6
Let a(w) be the second derivative of w**7/14 - 3*w**5/20 + 7*w. Factor a(u).
3*u**3*(u - 1)*(u + 1)
Let t(n) be the second derivative of n**7/189 + n**6/135 - n**5/30 - n**4/54 + 2*n**3/27 - 16*n. Suppose t(m) = 0. Calculate m.
-2, -1, 0, 1
Let i(q) be the first derivative of q + 5/6*q**3 - 1 - 7/4*q**2. Factor i(g).
(g - 1)*(5*g - 2)/2
Let v(z) = 2*z**2 + 7*z + 6. Let t be v(-5). Let o be 36/t + 4/14. Factor 4*g + o*g**3 - g**5 - 3*g - 2*g.
-g*(g - 1)**2*(g + 1)**2
Let a(v) be the first derivative of -v**6/33 - 16*v**5/55 - 15*v**4/22 + 16*v**3/33 + 16*v**2/11 + 60. Find u, given that a(u) = 0.
-4, -1, 0, 1
Let u(h) be the second derivative of 3*h - 1/60*h**6 - 1/4*h**4 + 1/10*h**5 - 1/4*h**2 + 1/3*h**3 + 0. Factor u(a).
-(a - 1)**4/2
Find g, given that 0*g + 2/7*g**3 + 0*g**2 + 0 = 0.
0
Let c(m) be the third derivative of m**7/630 + m**6/360 - m**5/180 - m**4/72 + m**2. Factor c(a).
a*(a - 1)*(a + 1)**2/3
Suppose -2*a - 3*a - 2*w + 17 = 0, 3*