 + 1)/2
Suppose -1/3*n**2 + 0*n + 1/3 = 0. Calculate n.
-1, 1
Let l(p) = 3*p**2 + 3*p - 6. Let x(s) = -s**2 + s + 1. Let o(g) = -l(g) - x(g). Let y(n) = 1. Let z(d) = -o(d) + 5*y(d). Factor z(b).
2*b*(b + 2)
Let v(x) = x**3 + 7*x**2 + 5*x - 3. Let l be v(-6). Factor 5*z - z**l - 3*z - z.
-z*(z - 1)*(z + 1)
Let o(r) be the third derivative of r**5/60 + r**4/24 - r**3/6 + 2*r**2. Let w(q) = q**2 - q - 1. Let b(n) = o(n) + w(n). Factor b(v).
2*(v - 1)*(v + 1)
Suppose -10 = -39*d + 34*d. Factor 8/5*c + 8/5 + 2/5*c**d.
2*(c + 2)**2/5
Let a(w) = 5*w**5 + 4*w**4 - 7*w**3 - 16*w**2 - 11*w - 7. Let l(f) = 4*f**5 + 4*f**4 - 6*f**3 - 16*f**2 - 12*f - 6. Let k(g) = -4*a(g) + 6*l(g). Factor k(d).
4*(d - 2)*(d + 1)**4
Let x(f) = -f**2 + 2*f + 3. Let t be x(4). Let d be (-5)/(-2)*(-4)/t. Factor -3*z**3 - 3*z + z**2 + 3*z + d*z**3.
-z**2*(z - 1)
Solve 54/7*z**5 - 2/7*z**2 + 18/7*z**3 + 0 - 54/7*z**4 + 0*z = 0.
0, 1/3
Suppose h = -k - 2*h - 12, 8 = -3*k - 2*h. Let v - v**2 + 1/4*v**3 + k = 0. Calculate v.
0, 2
Factor -10/7*b**2 - 6/7*b + 2/7*b**4 - 2/7*b**3 + 0.
2*b*(b - 3)*(b + 1)**2/7
Let j(t) be the second derivative of 0 + t - 1/3*t**3 + 1/15*t**4 + 2/5*t**2. Factor j(q).
2*(q - 2)*(2*q - 1)/5
What is t in -16/9*t - 52/9*t**3 - 8/3*t**4 - 16/3*t**2 + 0 - 4/9*t**5 = 0?
-2, -1, 0
Determine t, given that 0 - 1/2*t**2 + 1/2*t**3 - t = 0.
-1, 0, 2
Let u = -17 + 19. Determine d so that 12 + 3*d**2 + u + 24*d + 29 + 5 = 0.
-4
Let j(q) be the second derivative of -q**8/3840 - q**7/2016 + q**6/180 - q**5/120 + q**4/3 - 7*q. Let h(d) be the third derivative of j(d). Factor h(s).
-(s - 1)*(s + 2)*(7*s - 2)/4
Let a be -1 - 5*4/(-12). Factor -a*p - 2/3*p**4 + 2/3*p**3 + 0 + 2/3*p**2.
-2*p*(p - 1)**2*(p + 1)/3
Let s(n) be the third derivative of -n**8/896 - n**7/560 + 3*n**6/320 + n**5/32 + n**4/32 + 21*n**2. Find m such that s(m) = 0.
-1, 0, 2
Factor q**5 - q**3 + 0*q**5 + 5*q - 5*q.
q**3*(q - 1)*(q + 1)
Let p = -13/1680 + 1/35. Let t(r) be the second derivative of 2*r + 0 + 0*r**2 + 1/24*r**3 + p*r**4. Let t(a) = 0. What is a?
-1, 0
Solve j**2 - j**2 + 2*j**2 + 8*j - 8 - 4*j**2 = 0.
2
Suppose 9*j = 4*j + 10. What is x in -5 - 3*x**j - x**3 + 0 + 9 = 0?
-2, 1
Determine y so that -13*y**4 + 3 - 6*y**2 - 4*y**4 + 20*y**4 = 0.
-1, 1
Let r(n) be the third derivative of 1/180*n**5 - 1/360*n**6 + 0 + 5/72*n**4 + 1/6*n**3 - 3*n**2 + 0*n. Factor r(w).
-(w - 3)*(w + 1)**2/3
Let i(v) be the first derivative of 9*v**4/4 - 11*v**3/3 + v**2 + 12. Factor i(k).
k*(k - 1)*(9*k - 2)
Let k(q) be the first derivative of -q**4/4 + 4*q**3 - 24*q**2 + 64*q - 3. Factor k(z).
-(z - 4)**3
Let l(w) = 48*w**2 + 104*w + 56. Let y(i) = -7*i**2 - 15*i - 8. Let z(g) = -3*l(g) - 20*y(g). Let z(b) = 0. What is b?
-2, -1
Let c be ((-28)/(-49))/((-20)/(-14)). Let x = c - -1/10. Determine v so that 0 - 1/2*v**3 + 1/4*v**4 + x*v - 1/4*v**2 = 0.
-1, 0, 1, 2
Let x be (-49)/4 - 4/(-16). Let p be (-1)/1 - 236/x. Suppose 52/3*n**2 + 86/3*n**3 - p*n + 8*n**4 - 16/3 = 0. What is n?
-2, -1/4, 2/3
What is c in 1/2*c - 1/2*c**3 - 1 + c**2 = 0?
-1, 1, 2
Suppose 0 = -2*v - h - 4*h + 3, 2*v - 10 = 2*h. Suppose 0 - i**4 + 4*i - v*i**3 + 3*i**4 - 2 = 0. Calculate i.
-1, 1
Let t(k) = -k**2 + 13*k + 14. Suppose 0*s - 14 = -s. Let p be t(s). Factor p*w**2 + 4/5*w**4 - 2/5*w**3 + 0 + 0*w - 2/5*w**5.
-2*w**3*(w - 1)**2/5
Let s be (-25)/30*(4 - (-64)/(-15)). Factor -4/9*m**2 + 2/9*m**3 + 0 + s*m.
2*m*(m - 1)**2/9
Let k(f) be the second derivative of -f**4/3 + f**3/3 + 3*f**2 + 4*f. Factor k(i).
-2*(i + 1)*(2*i - 3)
Let j(a) be the third derivative of a**7/315 - a**6/72 + a**5/180 + a**4/36 + 16*a**2. Find s, given that j(s) = 0.
-1/2, 0, 1, 2
Let d = 258 - 256. Solve -4/9*b + 2/9*b**d - 2/3 = 0.
-1, 3
Suppose x = -8 + 12. Let u(v) = -6*v**2 + 11*v + 35. Let a(f) = -2*f**2 + 4*f + 12. Let d(k) = x*u(k) - 11*a(k). Let d(y) = 0. What is y?
-2, 2
Let y(p) be the first derivative of -p**7/420 - p**6/120 - p**5/120 - 5*p**2/2 - 3. Let v(i) be the second derivative of y(i). Factor v(j).
-j**2*(j + 1)**2/2
Let w be (-219)/146 + 62/36. Factor 2/3*y**3 - 2/3*y**4 - w*y**2 + 0 + 0*y + 2/9*y**5.
2*y**2*(y - 1)**3/9
Suppose d - 27 = -2*d. Suppose 0 = 4*k - d - 3. Factor 4*z**3 - 3*z + k*z + 10*z**4 - 10*z**2 - 4*z.
2*z*(z - 1)*(z + 1)*(5*z + 2)
Let r = 1730827/11570 + 9/2314. Let d = -149 + r. Factor 12/5*g + d*g**4 + 12/5*g**3 + 18/5*g**2 + 3/5.
3*(g + 1)**4/5
Let f(k) be the second derivative of -k**7/280 + k**6/180 + k**5/40 - k**4/12 + k**3/6 - 2*k. Let v(h) be the second derivative of f(h). Factor v(m).
-(m - 1)*(m + 1)*(3*m - 2)
Solve -1/4*y - 1/4*y**2 + 1/4*y**3 + 1/4*y**4 + 0 = 0.
-1, 0, 1
Determine p, given that 0*p**2 + 2/3*p**5 + 2/3*p**3 + 0 + 0*p + 4/3*p**4 = 0.
-1, 0
Let l be (-34)/(-6) - 6/9. Factor 2*n**2 + 10*n + 2*n - l*n**2 - 3*n.
-3*n*(n - 3)
Let u(o) be the second derivative of -o**7/21 + o**6/15 + o**5/10 - o**4/6 + 7*o. Factor u(b).
-2*b**2*(b - 1)**2*(b + 1)
Let n(k) be the third derivative of -k**10/10080 - k**9/1680 - 3*k**8/2240 - k**7/840 - k**4/6 + 5*k**2. Let r(j) be the second derivative of n(j). Factor r(y).
-3*y**2*(y + 1)**3
Suppose -2*k = -3*k. Factor 5 + r**4 - 5 + r**3 + k.
r**3*(r + 1)
Let q be 3/(-18)*3*-4 - 2. Factor 0 + q*z**2 - 1/3*z + 1/3*z**3.
z*(z - 1)*(z + 1)/3
Let h(r) be the second derivative of -r**7/105 - r**6/75 + r**5/50 + r**4/30 + 7*r. Solve h(t) = 0.
-1, 0, 1
Let j(g) be the first derivative of -g**3/12 + 3*g**2/8 - 31. Factor j(d).
-d*(d - 3)/4
Suppose 2*q - 8*y + 3*y = -2, 2*q = -y + 10. Find i such that 2/7*i**5 + 4/7*i**2 - 4/7*i**q - 2/7*i + 0 + 0*i**3 = 0.
-1, 0, 1
Let i be (-8)/(-40) - (-28)/10. Find h such that -h**2 + 0 - 1/3*h - 1/3*h**4 - h**i = 0.
-1, 0
Let c(p) be the first derivative of 2*p**6/3 - 2*p**4 + 2*p**2 - 4. Determine y so that c(y) = 0.
-1, 0, 1
Let t = -1532 + 2354. Let h = t - 5744/7. Suppose -36/7*y**4 - 44/7*y**3 - 16/7*y**2 - h*y**5 + 6/7*y + 4/7 = 0. What is y?
-1, 2/5
Let d(w) be the first derivative of 4*w**5/35 + 2*w**4/7 - 16*w**3/21 - 4*w**2/7 + 12*w/7 + 27. Solve d(y) = 0.
-3, -1, 1
Let b(p) = 2 - p**2 + 7*p + 2*p**2 + 5. Let z be b(-6). Solve -5*d - z - d**2 - 1 + 5*d**2 + 3*d**3 = 0.
-2, -1/3, 1
Let f(t) be the first derivative of t**6/6 - 2*t**5/5 - 3*t**4/4 + 8*t**3/3 - 2*t**2 + 24. Determine i, given that f(i) = 0.
-2, 0, 1, 2
Let z(o) be the first derivative of 3*o**5/25 - 7*o**4/10 + 17*o**3/15 - 3*o**2/5 + 12. Determine n, given that z(n) = 0.
0, 2/3, 1, 3
Suppose -25 - 7 = 4*b. Let t be 3/4 - (-2)/b. Factor 1/2*x**3 + 1/2 - 1/2*x - t*x**2.
(x - 1)**2*(x + 1)/2
Let a(n) be the second derivative of 1/4*n**4 + n + 6/7*n**2 + 5/14*n**7 - 33/28*n**5 + 0 + 10/7*n**3 - 11/70*n**6. Determine p so that a(p) = 0.
-1, -2/5, -2/7, 1
Let k be (388/320 - 4/20) + -1. Let x(z) be the third derivative of -1/16*z**4 + 0*z**3 + 0 - 2*z**2 - k*z**5 + 0*z. What is u in x(u) = 0?
-2, 0
Let l(g) be the third derivative of 3*g**2 - 1/140*g**6 - 1/735*g**7 + 1/42*g**5 + 0*g + 1/1176*g**8 + 0*g**3 - 1/42*g**4 + 0. Factor l(t).
2*t*(t - 1)**3*(t + 2)/7
Let j(z) be the second derivative of z**5/100 - z**4/60 - 2*z**3/15 + 2*z**2/5 + 41*z. Suppose j(o) = 0. What is o?
-2, 1, 2
Suppose 4*p = 8 + 12. Suppose 5*b + 16 = p*q + 46, -10 = b + 3*q. Suppose -b*u**2 + 4*u**2 - 4*u**2 = 0. What is u?
0
Let m = -554/9 - -1670/27. Let j(k) be the second derivative of m*k**3 + 25/54*k**4 - 4/9*k**2 + 0 - k - 7/45*k**5. Find r, given that j(r) = 0.
-1/2, 2/7, 2
Let w(r) = -2*r**2 - 5*r + 21. Let c(b) = b**2 + 3*b - 10. Let p(v) = -7*c(v) - 3*w(v). What is q in p(q) = 0?
-7, 1
Factor -1/6*t**3 + 0 + 1/6*t**2 + 1/3*t.
-t*(t - 2)*(t + 1)/6
Let p = -13/6 + 20/9. Let d(k) be the second derivative of 0*k**2 - 1/60*k**5 - 1/18*k**3 + 0 - k + p*k**4. Factor d(i).
-i*(i - 1)**2/3
Suppose 4*f = -6 + 22. Factor -2*m**5 + 2*m**f + m**4 - 6*m**4 + m**4.
-2*m**4*(m + 1)
Factor -a**3 + a**2 + 0*a**2 - 4 - 2*a**2 + 4*a**2.
-(a - 2)**2*(a + 1)
Let m(n) be the second derivative of 0 - 1/18*n**5 + 1/15*n**6 + 2*n - 1/6*n**4 - 2/27*n**3 + 1/27*n**7 + 0*n**2. Solve m(v) = 0.
-1, -2/7, 0, 1
Let z = 94 + -939/10. Let o(r) be the second derivative of z*r**5 - 1/3*r**3 - r**2 + 0 - r + 1/6*r**4. Factor o(k).
2*(k - 1)*(k + 1)**2
Let k(w) be the first derivative of -w**4/12 + w**3/3 + 3*w**2/2 + 5*w + 