et t(z) = 0. What is z?
-1/2, 2
Let s = -38896/3819 + 720/67. Let m = s + 2/19. Factor -m*a + 1/3*a**2 + 1/3.
(a - 1)**2/3
Suppose -14*f + 3 = -25. Factor 2/7*w + 4/7 - 2/7*w**3 + 2/7*w**4 - 6/7*w**f.
2*(w - 2)*(w - 1)*(w + 1)**2/7
Suppose 28 = -5*s - 42. Let a = s - -72/5. Factor -4/5*y - 8/5*y**3 + a - 14/5*y**2.
-2*(y + 1)**2*(4*y - 1)/5
Let y = 143 + -141. Factor 14/5*k**y + 4/5 - 18/5*k.
2*(k - 1)*(7*k - 2)/5
Factor -150*j**2 - 525*j**4 + 156*j + 147*j**5 + 705*j**3 - 36*j - 12 - 285*j**2.
3*(j - 1)**3*(7*j - 2)**2
Suppose 0*t - 9 = -3*t. Factor -23*m + 16*m**3 - 6*m**2 + 2*m + 5*m**t + 6.
3*(m - 1)*(m + 1)*(7*m - 2)
Let y(h) be the first derivative of -h**4/8 + h**3/2 - h**2/2 - 7. Let y(j) = 0. Calculate j.
0, 1, 2
Let b(a) be the third derivative of -a**7/42 - a**6/12 - 13*a**2 + a. Find z, given that b(z) = 0.
-2, 0
Let w(p) be the third derivative of 0*p + 1/3*p**3 + 0 + 1/120*p**6 - 1/210*p**7 + p**2 - 5/24*p**4 + 1/20*p**5. Let w(t) = 0. Calculate t.
-2, 1
Let s(v) = -v**5 - 26*v**4 + 88*v**3 - 109*v**2 + 27*v + 21. Let g(w) = w**5 - w**4 + w**2 + w - 1. Let p(d) = -20*g(d) - 4*s(d). Factor p(k).
-4*(k - 2)**4*(4*k + 1)
Factor 0*d**3 - 3*d**3 - 6*d - 12 + 10*d**2 + d**3 - 6.
-2*(d - 3)**2*(d + 1)
Let k(h) be the second derivative of -3*h - 1/21*h**7 - 2/15*h**6 + 1/3*h**4 + 0 + 1/3*h**3 + 0*h**5 + 0*h**2. Determine w so that k(w) = 0.
-1, 0, 1
Let t(v) be the third derivative of v**7/70 - v**6/40 - v**5/10 + 17*v**2. Solve t(s) = 0 for s.
-1, 0, 2
Let v(r) = 57*r**3 + r. Let l be v(-1). Let u be 2/(-9) - l/18. Factor -3*f**4 + 0*f + 3*f**2 - 3*f - f**3 + 4*f**u.
-3*f*(f - 1)**2*(f + 1)
Let o(n) be the first derivative of -23/6*n**4 + 7/9*n**6 + 2/9*n**3 + 16/3*n**2 + 8/3*n - 2/3*n**5 + 5. Find h, given that o(h) = 0.
-1, -2/7, 1, 2
Solve 0*d**3 - d**2 + 40*d**4 - 43*d**4 - 2*d**2 - 6*d**3 = 0 for d.
-1, 0
Let l = -88 - -177/2. Determine x so that -x**2 + 1/2*x**3 - l*x + 1 = 0.
-1, 1, 2
Factor 9*t**3 + 18*t + 3/2*t**4 + 6 + 39/2*t**2.
3*(t + 1)**2*(t + 2)**2/2
Let d(l) be the first derivative of l**5/15 - l**4/12 - l**3/3 + 5*l**2/6 - 2*l/3 + 9. Determine p, given that d(p) = 0.
-2, 1
Suppose 2*b - 13 = -5*h, -h + 2*b = -2*b - 7. Suppose h*n = n. Factor -1/2*v**3 - v**2 + n*v + 0.
-v**2*(v + 2)/2
Let x = 2 + -3. Let o be x*(-2 + 0/(-1)). Factor -q**2 - o*q**2 + 5*q**2.
2*q**2
Let n(g) be the second derivative of g**7/14 - g**6/10 - 3*g**5/4 + g**4/4 + 4*g**3 + 6*g**2 + 6*g. Determine a, given that n(a) = 0.
-1, 2
Suppose -2/5*j - 2/15*j**2 - 4/15 = 0. Calculate j.
-2, -1
Let m(v) be the third derivative of 5*v**2 - 3/7*v**3 + 0*v - 1/28*v**4 + 0 - 1/420*v**6 + 1/42*v**5. Factor m(d).
-2*(d - 3)**2*(d + 1)/7
Let m be -2 + 1/(-2)*-5. Let y(u) be the first derivative of -m*u**4 + 2/3*u**3 - 2/5*u**5 + 0*u + u**2 + 2. Find v, given that y(v) = 0.
-1, 0, 1
Factor 0 - 5/4*u**4 - 5/2*u - 5*u**3 - 25/4*u**2.
-5*u*(u + 1)**2*(u + 2)/4
Let v(r) be the first derivative of r**7/2520 - r**6/216 + r**5/45 - r**4/18 + 2*r**3 - 1. Let q(k) be the third derivative of v(k). Factor q(a).
(a - 2)**2*(a - 1)/3
Let j be 3/(5 - (-3 + 7)). Determine c, given that 2/3*c**j - 2/3*c + 0 + 0*c**2 = 0.
-1, 0, 1
Let t(v) = 5*v**2 + 12*v + 18. Suppose 0 = -f - 2*j + 5, 3*j - 3 = 2*j. Let m(z) = -z**2. Let d(r) = f*t(r) - 3*m(r). Suppose d(w) = 0. What is w?
-3
What is j in 0 + 2/3*j**2 + 2*j**4 - 4*j + 20/3*j**3 = 0?
-3, -1, 0, 2/3
Factor -32/3*x + 14/3*x**3 + 0 - 2/3*x**4 - 16/3*x**2.
-2*x*(x - 4)**2*(x + 1)/3
Let j(a) = a + 4. Let o be j(-4). Determine f so that 6*f**2 - 14*f**3 - 3*f**5 - 2*f + 0*f**2 + o*f - 1 + 11*f**4 + 3*f = 0.
-1/3, 1
Factor 0*u**2 - 1 + 9*u**2 + 12*u + 4.
3*(u + 1)*(3*u + 1)
Let n(p) be the first derivative of -p**6/6 + p**5 - 7*p**4/4 - p**3/3 + 4*p**2 - 4*p + 41. Factor n(s).
-(s - 2)**2*(s - 1)**2*(s + 1)
Let x(u) be the second derivative of 1/3*u**2 + 1/60*u**5 + 0 + 2*u + 0*u**4 - 1/6*u**3. Factor x(w).
(w - 1)**2*(w + 2)/3
Let c(g) be the third derivative of -g**5/30 + g**4/12 + 4*g**2 + 5*g. Factor c(d).
-2*d*(d - 1)
Let w = -335/6 + 56. Let o(v) be the second derivative of -1/126*v**7 - 1/18*v**4 - 2*v + w*v**2 + 1/90*v**6 + 1/30*v**5 - 1/18*v**3 + 0. Solve o(h) = 0 for h.
-1, 1
Determine c, given that 4*c**3 - 4*c**4 - 27*c**4 + 11*c**4 + 4*c**2 + 7*c**5 + 5*c**5 = 0.
-1/3, 0, 1
Let q(n) = -10*n**2 + 22*n - 16. Let f(g) = 29*g**2 - 65*g + 48. Let o(i) = 6*f(i) + 17*q(i). Find s, given that o(s) = 0.
2
Let y(k) = k**4 - 2*k**3 + 6*k**2 + 5. Let b(w) = w**2 + 1. Let t(i) = 15*b(i) - 3*y(i). Factor t(m).
-3*m**2*(m - 1)**2
Let l = -123447/7 + 17697. Let a = 62 - l. Factor 2/7*i**2 - 2/7 - a*i**3 + 2/7*i.
-2*(i - 1)**2*(i + 1)/7
Let k(b) = -12*b**3 + 20*b**2 - 52*b + 12. Let s(j) = -4*j**3 + 7*j**2 - 17*j + 4. Let g(i) = -5*k(i) + 16*s(i). Suppose g(y) = 0. Calculate y.
1
Let a be (2/(-12))/(1/(-2)). Find y such that 2/3 - 1/3*y - a*y**2 = 0.
-2, 1
Let f = 8 + -5. Let a(r) be the first derivative of -4*r**3 - 2 + 0*r**3 - r - 3*r**2 + r**f. Factor a(x).
-(3*x + 1)**2
Let i = -535 - -539. Solve -s**4 - i*s - 8/7 + 6/7*s**2 + 19/7*s**3 = 0.
-1, -2/7, 2
Let q = 193/14 - 58/7. Let k = q - 5. Find j such that -1/2*j**2 + 1/2*j**4 + 0*j + k*j**5 - 1/2*j**3 + 0 = 0.
-1, 0, 1
Let c(y) be the first derivative of 3*y**5/20 + 3*y**4/16 - y**3/4 - 3*y**2/8 - 4. Find l, given that c(l) = 0.
-1, 0, 1
Let f(j) be the first derivative of -5*j**6/6 + 5*j**4/4 - 22. Find d such that f(d) = 0.
-1, 0, 1
Suppose -15 = -2*h + 3*h. Let y = 23 + h. Suppose -4*v**2 - 2*v - y + 10*v**2 + 2*v + 2*v**3 = 0. What is v?
-2, 1
Let g = 19 - 26. Let a = g + 10. Factor -1/5*p**4 + 0 - 1/5*p**5 + 0*p**2 + 0*p + 0*p**a.
-p**4*(p + 1)/5
Let t(j) be the first derivative of 9/14*j**2 + 1/2*j**4 + 6 - 6/35*j**5 + 1/42*j**6 - 16/21*j**3 - 2/7*j. Suppose t(h) = 0. Calculate h.
1, 2
Let x = 3 - 6. Let g(b) = b**4 + b**3 - b**2 + b + 1. Let m(f) = -4*f**4 - 5*f**3 + 3*f**2 - f - 2. Let n(d) = x*g(d) - m(d). Solve n(t) = 0 for t.
-1, 1
Let o be 38/8 - (-6)/24. Suppose -c + 2 = -0*c. Solve -3 + o*f + 7 - 3 + 4*f**c = 0.
-1, -1/4
Let y(a) be the third derivative of 2*a**7/105 + 2*a**6/15 + a**5/5 - 2*a**4/3 - 8*a**3/3 + 9*a**2. Factor y(w).
4*(w - 1)*(w + 1)*(w + 2)**2
Let u = 112 + -559/5. Factor u*b**2 - 1/5*b + 1/5*b**3 - 1/5.
(b - 1)*(b + 1)**2/5
Let h(t) be the third derivative of t**8/336 - t**7/210 - t**6/40 + t**5/60 + t**4/12 + 3*t**2. Factor h(y).
y*(y - 2)*(y - 1)*(y + 1)**2
Factor 0 - 2*c**4 - c**2 + 0*c - 1/2*c**5 - 5/2*c**3.
-c**2*(c + 1)**2*(c + 2)/2
Determine g so that -24*g + 8*g - 6 + 168*g**4 - 32*g + 174*g**3 + 9*g - 27*g**2 = 0.
-1, -2/7, -1/4, 1/2
Let r(k) be the second derivative of -k**4/42 - 4*k**3/21 - 3*k**2/7 - 2*k. Factor r(z).
-2*(z + 1)*(z + 3)/7
Let c(t) = -t**2 + 3*t. Let h(x) = -6*x**2 + 16*x. Let k(s) = -22*c(s) + 4*h(s). Factor k(o).
-2*o*(o + 1)
Factor -2*g + 9*g**2 - g**3 - 6*g**2 - 1 + 1.
-g*(g - 2)*(g - 1)
Suppose -3 + 1 = -z. Let m(i) be the third derivative of 0*i - 1/360*i**6 - 1/180*i**5 + 1/1008*i**8 - 3*i**z + 0 + 0*i**3 + 1/630*i**7 + 0*i**4. Factor m(u).
u**2*(u - 1)*(u + 1)**2/3
Let i(v) = v**4 - v**3 + v**2 - v - 1. Let s(c) = -2*c**4 - c**3 - c**2 + 7*c. Let q(y) = -3*i(y) - s(y). What is j in q(j) = 0?
-1, 1, 3
Suppose 0*w**2 + 6*w + 7*w**2 + w**2 + 4*w**3 - 2*w = 0. What is w?
-1, 0
Let y(p) be the first derivative of -2 - 1/12*p**3 + 0*p - 1/8*p**2. Factor y(s).
-s*(s + 1)/4
Let l = 25 - 21. Let g(n) be the second derivative of 3*n + 1/42*n**l + 0 + 0*n**2 - 1/70*n**5 + 0*n**3. Factor g(p).
-2*p**2*(p - 1)/7
Suppose -2*f + 2*k = -7*f - 43, 0 = -2*f - 4*k - 30. Let h = f - -7. Factor -2/3*s**2 - 2/9*s**4 + 2/9*s + 2/3*s**3 + h.
-2*s*(s - 1)**3/9
Suppose 9 = 5*z - 1. Determine t, given that -4 + z*t**2 - t - 5*t + t + 3*t = 0.
-1, 2
Suppose 3*k = -3*b + 39, 5*b - k = 4*k + 15. Factor 0*t + 4*t - b*t**3 - 2*t + 6*t**2 + 0*t**3.
-2*t*(t - 1)*(4*t + 1)
Let z = -10 - -7. Let v be 3 - (0 - (z - 0)). What is h in v*h - 2/5*h**2 + 0 = 0?
0
Let t(s) be the second derivative of 7*s**4/78 - 5*s**3/39 - 2*s**2/13 - 26*s. Factor t(x).
2*(x - 1)*(7*x + 2)/13
Let s(i) be the second derivative of 2*i**6/15 - i**4/3 - 9*i. Let s(f) = 0. What is f?
-1, 0, 1
Let g = 204 - -168. Let t be g/216 + (-6)/4. Suppose -2/9*a**2 + 2/9*a - 2/9*a**3 