 0.
0, 1
Let y(d) be the third derivative of 0 + 0*d**5 + 0*d + 1/70*d**7 + 2*d**2 + 0*d**3 - 1/80*d**8 + 1/100*d**6 + 0*d**4. Factor y(j).
-3*j**3*(j - 1)*(7*j + 2)/5
Let p be (3/2)/((-24)/(-32)). Factor 0*h + h**3 + 2 - 1 - p - h + h**2.
(h - 1)*(h + 1)**2
Suppose -2*z + 614*z**4 + 4*z**3 - 2*z**5 - 614*z**4 = 0. What is z?
-1, 0, 1
Let t(s) = 2*s**2 - 83*s - 360. Let v be t(46). Determine x, given that -v*x**2 + 24*x - 8/3 = 0.
2/9
Let t be 14/(-4)*((-48)/(-21))/(-4). Let o(w) be the third derivative of 0 - 3*w**t - 7/60*w**4 - 1/5*w**3 + 0*w - 2/75*w**5. Solve o(a) = 0.
-1, -3/4
Suppose -4*g = 9 - 13. Let c be 15/10 + (0 - g). Solve -1/2 + 1/2*m**2 + c*m - 1/2*m**3 = 0.
-1, 1
Let x(o) = -4*o**3 - 28*o**2 + 4*o + 28. Let j(m) = -m**2 + 1. Let y(b) = 8*j(b) - x(b). Determine h, given that y(h) = 0.
-5, -1, 1
Let j be ((-4)/(-20))/(1/10). Factor 4/11*t**4 + 0*t + 0*t**j + 2/11*t**3 - 16/11*t**5 + 0.
-2*t**3*(2*t - 1)*(4*t + 1)/11
Let i(b) be the first derivative of b**4/8 - b**3/2 - 9*b**2/4 - 5*b/2 + 31. Factor i(f).
(f - 5)*(f + 1)**2/2
Let o(v) be the third derivative of -v**8/280 - 2*v**7/105 - v**6/25 - v**5/25 - v**4/60 + 20*v**2. Factor o(f).
-2*f*(f + 1)**3*(3*f + 1)/5
Let h(f) be the second derivative of 0 + 3*f - 1/42*f**4 + 2/7*f**2 + 1/21*f**3. Suppose h(c) = 0. What is c?
-1, 2
Let c(o) be the first derivative of -o**6/48 - o**5/40 + o**4/32 + o**3/24 + 20. Suppose c(d) = 0. Calculate d.
-1, 0, 1
Let k(u) be the first derivative of 0*u + 0*u**2 + 3 + 1/12*u**4 + 0*u**3 - 1/15*u**5. Factor k(b).
-b**3*(b - 1)/3
Let r = 79/301 + 1/43. Let y(c) be the first derivative of 3 - 2/21*c**3 - 2/7*c**2 - r*c. Let y(a) = 0. Calculate a.
-1
Let l(g) be the first derivative of -g**3/9 + g/3 - 7. What is o in l(o) = 0?
-1, 1
Let r(g) be the first derivative of -3*g**4 + 0*g - 8/5*g**5 + 4 - g**2 - 1/3*g**6 - 8/3*g**3. Factor r(u).
-2*u*(u + 1)**4
Suppose 4/5*k + 0 + 12/5*k**2 + 1/5*k**5 + 6/5*k**4 + 13/5*k**3 = 0. What is k?
-2, -1, 0
Let z(h) = -16*h**2 + 43*h - 36. Let d(r) = -16*r - 13*r + 10*r**2 + 24 + 0*r**2 + r**2. Let k(q) = -7*d(q) - 5*z(q). Determine f, given that k(f) = 0.
2
Suppose -2*v - 3 + 1 = -2*d, 0 = 5*v - d + 1. Solve 1/4*p**2 + 1/2*p**3 + v + 0*p + 1/4*p**4 = 0 for p.
-1, 0
Let o(s) be the first derivative of -3*s**4/16 - s**3/4 + 3*s**2/4 + 12. What is x in o(x) = 0?
-2, 0, 1
Let q(r) be the second derivative of 1/105*r**6 + 0 + 2*r + 1/21*r**3 + 3/70*r**5 + 0*r**2 + 1/14*r**4. Suppose q(p) = 0. Calculate p.
-1, 0
Let m(u) = u**3 + 1. Let w be m(1). Suppose 2*g = 0, -w*c + 5*g = 4*g - 4. Let -2/7*q**c - 2/7*q**4 + 0*q - 4/7*q**3 + 0 = 0. What is q?
-1, 0
Factor u**2 - 2*u**4 + 2*u - 4 + 4*u**3 - 3*u**3 + 5*u**2 - 3*u**3.
-2*(u - 1)**2*(u + 1)*(u + 2)
Let c be 4 + -4 + (-3 - 1). Let s be 2/c*(-13 - -7). Let -2/3*w**s + 0 + 2/3*w**2 + 0*w = 0. What is w?
0, 1
Let j(m) be the first derivative of -1/8*m**2 - 3/8*m**4 + 1/3*m**3 + 3 + 1/5*m**5 + 0*m - 1/24*m**6. Factor j(o).
-o*(o - 1)**4/4
Let b = 1 - -1. Determine i so that 5*i**3 + 3*i**2 + i**4 - 3*i**3 - 2*i**b = 0.
-1, 0
Suppose -2*x + 5*x - 12 = 0. Let n be x/6*(-6)/(-14). Factor -2/7 - 2/7*i**3 + 2/7*i**2 + n*i.
-2*(i - 1)**2*(i + 1)/7
Let q = 47/2 - 23. Factor 1/2*x - x**2 + 0 + q*x**3.
x*(x - 1)**2/2
Let u be (-2)/(-3) - (-3)/9. Suppose -10 = -v + 2*y, -v - 4*y - 14 = -0*v. Factor -1/4*c**v + c - u.
-(c - 2)**2/4
Suppose 6*x = -32*x + 152. Factor -16*m**2 - 26/3*m**3 - 4/3*m**x + 0 - 6*m.
-2*m*(m + 3)**2*(2*m + 1)/3
Let i(x) be the first derivative of -x**4/4 - x**3/3 + x**2/2 + x - 4. Factor i(k).
-(k - 1)*(k + 1)**2
Let t(y) be the second derivative of y + 0*y**2 + 2/27*y**3 + 0 - 1/54*y**4. Determine a so that t(a) = 0.
0, 2
Let j = 5 - 3. Determine p, given that 5*p - p**j + 5*p**4 - 3*p**4 - 2*p**3 - 3*p - p**2 = 0.
-1, 0, 1
Factor 5*m + 5*m**3 - m**3 + 3*m + 12*m**2.
4*m*(m + 1)*(m + 2)
Let g(k) = -k**3 + 13*k**2 + k - 5. Let m be g(13). Let u = 11 - m. Factor 0*b**2 - 2/3*b**u + 0*b**4 + 1/3*b + 1/3*b**5 + 0.
b*(b - 1)**2*(b + 1)**2/3
Let 0 - 2/3*f**2 + 0*f - 4*f**3 + 49/6*f**5 - 7/2*f**4 = 0. What is f?
-2/7, 0, 1
Factor 512/3 + 2/3*d**2 - 64/3*d.
2*(d - 16)**2/3
Let q = 13 - 18. Let p = q - -7. Factor x**3 - x**3 + x**3 + 2*x**2 - p*x**3.
-x**2*(x - 2)
Let h = -823/3 + 23825/87. Let u = h + 156/203. Let -u*m + 0 - 2/7*m**2 = 0. What is m?
-1, 0
Let 12*j**4 + 17*j**2 + 17*j**2 - 17*j**3 - 27*j**3 - 10*j**2 = 0. Calculate j.
0, 2/3, 3
Let j(m) be the first derivative of -2/35*m**5 - 2/7*m**2 + 0*m**3 + 2/7*m + 1/7*m**4 - 3. Let j(b) = 0. What is b?
-1, 1
Factor -7/3 + 1/3*v**2 + 2*v.
(v - 1)*(v + 7)/3
Let a be -3 - -11 - (3 + -4). Let u = -26/3 + a. Factor u*n**2 + 0 - 1/3*n**5 + n**4 - n**3 + 0*n.
-n**2*(n - 1)**3/3
Let x = 48 - 67. Let q = x + 19. Factor 21/5*h**5 + q + 0*h**2 + 6/5*h**4 + 0*h**3 + 0*h.
3*h**4*(7*h + 2)/5
Let y(v) be the first derivative of v**6/48 + 3*v**5/40 + v**4/16 + 2. Factor y(p).
p**3*(p + 1)*(p + 2)/8
Let f = 18 - 16. Suppose -3*i - f*u = -6, -2*i - 3*u + 3 = -6. Find q such that i + 2/5*q**2 - 2/5*q = 0.
0, 1
Let s(g) be the third derivative of -g**8/6720 + g**6/1440 - g**3/6 + g**2. Let b(l) be the first derivative of s(l). Determine r so that b(r) = 0.
-1, 0, 1
Determine p, given that 0 + 10/11*p**5 + 24/11*p**4 + 4/11*p**2 + 0*p + 18/11*p**3 = 0.
-1, -2/5, 0
Let f(j) = -j**3 + j**2 + j + 2. Let o be f(0). Let -7*q**3 + 4*q**3 + 2*q**2 + 4*q + q**o + 2*q = 0. Calculate q.
-1, 0, 2
Let u(z) be the first derivative of -z**2/2 + z - 2. Let s be u(-1). What is j in j**2 + j + 0*j**s - 4*j + 2 = 0?
1, 2
Let s(x) be the second derivative of x**5/70 - x**4/42 - 8*x**3/21 + 12*x**2/7 + 17*x. Factor s(l).
2*(l - 2)**2*(l + 3)/7
Factor 0 + 1/6*q**2 + 0*q.
q**2/6
Let m(s) be the third derivative of 0*s**3 + 0*s - s**2 - 1/10*s**5 - 1/12*s**4 - 1/20*s**6 - 1/105*s**7 + 0. Factor m(v).
-2*v*(v + 1)**3
Let y = -7/4 - -11/6. Let j(x) be the first derivative of x**2 - y*x**3 - 3/16*x**4 - 2 - x. What is s in j(s) = 0?
-2, 2/3, 1
Let d be (-1859)/(-462) - 4*1. Let j(s) be the second derivative of 1/21*s**3 - s + 0 + d*s**4 - 2/7*s**2. Factor j(k).
2*(k - 1)*(k + 2)/7
Let h be 12/5 - (-7 + 9). Suppose 4/5 - 6/5*o + 0*o**2 + h*o**3 = 0. Calculate o.
-2, 1
Let a(l) = -9*l**3 - 13*l**2 + 5*l - 5. Let j(h) = 5*h**3 + 7*h**2 - 3*h + 3. Let c(q) = -3*a(q) - 5*j(q). Let c(y) = 0. What is y?
-2, 0
Factor 0*b + 1/3 - 1/3*b**2.
-(b - 1)*(b + 1)/3
Let a(o) be the second derivative of -o**6/10 - 3*o**5/5 - 3*o**4/4 + 2*o**3 + 6*o**2 - 14*o. Find u, given that a(u) = 0.
-2, -1, 1
Let v = 21 + -19. Let 0 + 0*y - 9/4*y**5 + v*y**3 + y**2 - 3/4*y**4 = 0. What is y?
-2/3, 0, 1
Suppose 1 = -2*f + 5. Factor 0*l**f + 3*l**3 + 0*l**2 - 3*l**2.
3*l**2*(l - 1)
Let j = 18 + -15. Let h(c) = c**2 - 6*c - 6. Let m be h(7). Determine a, given that 2*a**2 - j*a - m - a**3 + 0*a - 5*a**2 = 0.
-1
Let 45*c + 52*c - 98*c + c**2 = 0. What is c?
0, 1
Let d(j) be the third derivative of j**9/20160 - j**7/1680 - j**5/30 - 2*j**2. Let l(m) be the third derivative of d(m). Suppose l(b) = 0. Calculate b.
-1, 0, 1
Let k = 13 - 3. Let f = k - 5. Solve -l**4 + 5*l**4 - 2*l**5 - f*l**3 - 5*l**3 + 4*l**2 + 4*l**4 = 0.
0, 1, 2
Let a be (7/(-2))/(12/(-24)). Let z(n) be the second derivative of 2*n - 1/12*n**3 + 0 + 0*n**4 + 1/20*n**5 + 0*n**6 - 1/84*n**a + 0*n**2. Factor z(m).
-m*(m - 1)**2*(m + 1)**2/2
Let j(w) be the first derivative of 2 - 1/3*w + 0*w**4 + 0*w**2 + 2/9*w**3 - 1/15*w**5. Factor j(o).
-(o - 1)**2*(o + 1)**2/3
Let l(n) be the second derivative of n**6/10 - 3*n**5/20 - n**4 + 2*n**3 - 47*n. Factor l(m).
3*m*(m - 2)*(m - 1)*(m + 2)
Let u be 34/6 - (-4)/12. Suppose u*y = 4*y + 4. Factor 0 + 0*h - 1/3*h**y.
-h**2/3
Suppose -12*j - 51 = -29*j. Determine y, given that -1/3 + 25/6*y**j + 19/6*y**2 - 17/6*y**4 - 5/6*y - 10/3*y**5 = 0.
-1, -1/4, 2/5, 1
Let a(c) be the second derivative of -21*c**5/40 + 9*c**4/8 - c**3/2 - 15*c. Factor a(m).
-3*m*(m - 1)*(7*m - 2)/2
Let y(b) = -20*b**5 + 100*b**4 - 6*b**3 - 420*b**2 + 374*b. Let x(f) = 4*f**5 - 20*f**4 + f**3 + 84*f**2 - 75*f. Let o(v) = -14*x(v) - 3*y(v). Factor o(p).
4*p*(p - 3)**2*(p - 1)*(p + 2)
Find l such that 900*l**2 + 15000 + 60*l**3 + 6000*l + 3/2*l**4 = 0.
-10
Let m = -5 - -23/3. Find i such that 2/3*i + m*i**4 + 4*i**3 +