0
Let d be (-19)/(-8 - 11)*(2 + 1). Factor -4/5*m**2 - 4/5*m - 1/5*m**d + 0.
-m*(m + 2)**2/5
Let f be (-6)/10 + (-65)/(-25). Suppose -6 + 15*t + 12*t**3 + 11*t**3 - 12*t**f - 30*t**3 + 10*t**3 = 0. Calculate t.
1, 2
Let q be (-1)/(-3) - (2 - -1 - 4). Let -2/3*u**2 + q + 2/3*u = 0. Calculate u.
-1, 2
Let b(c) = 13*c**4 + 21*c**3 + 15*c**2 - 41*c. Let y(p) = 15*p**4 + 20*p**3 + 15*p**2 - 40*p. Let r(z) = -5*b(z) + 4*y(z). Determine a, given that r(a) = 0.
-3, 0, 1
Let g(f) = 5*f**2 - 2. Let a(q) = 15*q**2 - 5. Let c(t) = -3*a(t) + 10*g(t). Find j such that c(j) = 0.
-1, 1
Let j(q) be the first derivative of q**6/50 - q**4/20 + 11*q - 15. Let i(t) be the first derivative of j(t). Suppose i(x) = 0. What is x?
-1, 0, 1
Let u be (-49)/(-7) + (2 - 7). Let k(w) be the third derivative of 0*w - 7/150*w**5 - 7/60*w**4 + 0 - 1/150*w**6 + 7*w**u - 2/15*w**3. Factor k(d).
-2*(d + 1)*(d + 2)*(2*d + 1)/5
Let p be (-660)/(-72) - (8 - -1). Let z(o) be the first derivative of -1/4*o**2 + 1/10*o**5 - p*o**3 - 1 + 1/8*o**4 + 0*o. Factor z(s).
s*(s - 1)*(s + 1)**2/2
Let y(r) = -25*r**2 - 2*r + 13*r + 3 + 33*r**2 + 14. Let d(j) = -7*j**2 - 11*j - 16. Let v(t) = 7*d(t) + 6*y(t). Factor v(h).
-(h + 1)*(h + 10)
Let s(b) = -b**4 - 5*b**3 + b**2 + 5*b. Let j(g) = -2 + g - 3 - g**3 + g**2 - g**4 + 5. Let d(k) = 3*j(k) - s(k). Factor d(t).
-2*t*(t - 1)**2*(t + 1)
Let y(b) be the second derivative of b**4/54 - 28*b**3/27 - 29*b**2/9 + 169*b. Factor y(i).
2*(i - 29)*(i + 1)/9
Let 135/2*x + 53/3*x**3 + 1/6*x**5 + 51*x**2 + 63/2 + 17/6*x**4 = 0. Calculate x.
-7, -3, -1
Let v be 18/(-351) - 8/(-156). Solve -6/11*c**4 + v*c + 0 - 12/11*c**2 - 18/11*c**3 = 0 for c.
-2, -1, 0
Factor 0*p**2 + 0 - 1/6*p**4 + 0*p + 7/3*p**3.
-p**3*(p - 14)/6
Let h(l) = l**2 - 5*l + 6. Suppose -5 = -4*s - 5*o + 9, -5*o - 34 = -4*s. Let a(y) = -2*y**2 + 15*y - 17. Let q(j) = s*a(j) + 17*h(j). Factor q(u).
5*u*(u + 1)
Let k(w) be the third derivative of 11*w**5/390 - 7*w**4/26 - 8*w**3/39 - 173*w**2. What is d in k(d) = 0?
-2/11, 4
Let w(p) = -2*p - 17. Let h be w(-11). Determine u, given that u**h - 3*u**5 + 2*u**4 + u**5 - u**5 = 0.
0, 1
Let p(x) = -2*x + 39. Let f be p(18). Suppose -5*i**3 + 12*i**2 - 45 - 15*i - i**2 + f*i**2 + 11*i**2 = 0. What is i?
-1, 3
Suppose -13*j - 20*j + 132 = 0. Determine y so that 22/5*y**3 - 8/5*y**j + 0 - 24/5*y**2 + 9/5*y + 1/5*y**5 = 0.
0, 1, 3
Let b(d) = -145*d**3 + 450*d**2 - 370*d + 65. Let c(k) = 9*k**3 - 28*k**2 + 23*k - 4. Let w(g) = -4*b(g) - 65*c(g). Let w(u) = 0. Calculate u.
0, 1, 3
Let z(f) be the first derivative of f**4/4 + 2*f**3/3 - f**2/2 - 2*f - 870. Factor z(j).
(j - 1)*(j + 1)*(j + 2)
Let m(c) be the second derivative of -11*c**4/20 - 153*c**3/5 + 84*c**2/5 - 209*c. Find b, given that m(b) = 0.
-28, 2/11
Factor 1/4*r**5 - 3/4*r**4 + r**2 + 0 + 0*r**3 + 0*r.
r**2*(r - 2)**2*(r + 1)/4
Let o = 1 - -3. Suppose 11*r - o*r - 210 = 0. Solve 14 - 10*t + 28*t**2 + 16*t**3 - r - 12*t**4 - 6*t = 0 for t.
-1, -2/3, 1, 2
Suppose -3381 + 3421 = 10*a. Suppose -1/2*i**2 + 1/2*i**a + 5/2*i**3 - i - 3/2*i**5 + 0 = 0. Calculate i.
-1, -2/3, 0, 1
Let h = 42 - 40. Suppose -h*r = -20*r - 0*r. Solve 0 + 12/7*y**3 + 4/7*y**5 - 12/7*y**4 - 4/7*y**2 + r*y = 0 for y.
0, 1
Let q(w) be the third derivative of w**8/672 - w**7/84 + w**6/30 - w**5/30 + 206*w**2. Determine s so that q(s) = 0.
0, 1, 2
Let b(q) be the second derivative of -1/6*q**4 - 7*q + 1/15*q**6 + 9/20*q**5 + 0*q**3 + 0*q**2 - 3/14*q**7 + 0. Suppose b(w) = 0. What is w?
-1, 0, 2/9, 1
Suppose 184 + 71 = 51*x. Factor 0*h**3 - 6/7*h**4 + 0 - 3/7*h**x + 0*h + 0*h**2.
-3*h**4*(h + 2)/7
Suppose 10 - 10 = -5*o. Let h(q) be the second derivative of 3/40*q**5 - 9/4*q**2 + 3*q - 5/8*q**4 + 7/4*q**3 + o. Find w such that h(w) = 0.
1, 3
Let w(d) = -10 - d**3 - 1783*d + 4 - 5*d**2 + 1788*d. Let h be w(-6). Find n such that -1/4*n + h + 1/4*n**2 = 0.
0, 1
Suppose 0 = -13*j - 16*j. Let y(a) be the third derivative of 1/6*a**4 + j*a + 3*a**2 - 1/3*a**3 - 1/30*a**5 + 0. Determine t, given that y(t) = 0.
1
Let d(b) be the second derivative of -b**7/21 - 4*b**6/5 - b**5 + 2*b**4 + 11*b**3/3 + 130*b. Find t, given that d(t) = 0.
-11, -1, 0, 1
Let g(p) be the second derivative of 0*p**4 + 0*p**3 + 1/6*p**6 + 0 - 1/10*p**5 - p + 0*p**2 + 1/6*p**7. Suppose g(n) = 0. What is n?
-1, 0, 2/7
Let p(r) = -134*r**2 + 307*r - 10. Let x(b) = -22*b**2 + 51*b - 2. Let s(w) = -6*p(w) + 34*x(w). Factor s(t).
4*(t - 2)*(14*t + 1)
Suppose -14 = -2*u - k, -u + 0*u + 2*k = -2. Suppose 3*y + 0 = u. Factor 49*q + 7*q**y + 37*q**2 - 2*q**2 - 98*q**3 + 8 - q.
-2*(q - 1)*(7*q + 2)**2
Solve 2 - 2*g**3 - 9*g**2 - 5*g**2 - 2 = 0.
-7, 0
Let u(m) be the first derivative of 1/3*m + 1/24*m**4 + 1/6*m**3 - 5/12*m**2 - 13 - 1/30*m**5. Factor u(w).
-(w - 1)**3*(w + 2)/6
Let d be (-1 - (2 - 0)) + 2. Let i be ((d - -7) + 2)/14. Factor 0 - 10/7*m**3 + i*m - 6/7*m**2.
-2*m*(m + 1)*(5*m - 2)/7
Suppose 7*p = -2*p - 522. Let n be 16/(-20) - p/60. Factor 0*o + 0 + 1/3*o**3 + n*o**2 + 1/6*o**4.
o**2*(o + 1)**2/6
Factor -2*i**2 + 0*i**3 + 1/2*i**5 + 0 + 0*i + 3/2*i**4.
i**2*(i - 1)*(i + 2)**2/2
Let x be (2 - 10)*(-10)/(-8)*-2. Determine b so that -18*b - x*b + 6*b - 13*b + 5*b**2 - 50 = 0.
-1, 10
Factor -1/2*o**2 + 3/2*o - 1.
-(o - 2)*(o - 1)/2
Let v be (-244)/(-70) + 10/(-35). Let b be (-3)/15*(10 + -12). Factor -32/5 - b*l**2 + v*l.
-2*(l - 4)**2/5
Let o(v) = 58*v**2 - 232*v + 172. Let y(m) = 23*m**2 - 93*m + 69. Let p(x) = -5*o(x) + 12*y(x). Let p(t) = 0. What is t?
8/7, 2
Let t(v) be the third derivative of -v**7/1260 + v**6/80 + 11*v**5/360 - v**4/16 - 5*v**3/18 - 3*v**2 + 38. Let t(s) = 0. What is s?
-1, 1, 10
Solve -6*m**3 - 68*m**4 - 12*m**5 + 52*m**4 + 2*m**3 = 0.
-1, -1/3, 0
Let x(l) = l**2 + 18*l + 14. Let i be x(-17). Let f = 0 - i. Suppose -f*c**3 - 234 + 3*c + 234 = 0. What is c?
-1, 0, 1
Suppose 1 = -u - i - 1, 0 = 2*u - i - 2. Suppose 0 = -2*n - 3*p + 9, -2*p = -4*n - n + 13. Find f such that -4/5*f**2 + 0*f + u - 2/5*f**4 - 6/5*f**n = 0.
-2, -1, 0
Solve 88*g - 408*g - 139 - 117 - 2*g**4 - 13*g**3 - 15*g**3 - 144*g**2 = 0.
-4, -2
Let q(a) be the second derivative of 0*a**2 + 1/2*a**5 + 0 - a + 1/6*a**6 + 0*a**3 + 5/12*a**4. Let q(b) = 0. What is b?
-1, 0
Suppose 4*q**2 - 146*q - 152*q - 446*q + 34596 = 0. What is q?
93
Let m(x) be the third derivative of 1/30*x**5 - 2/3*x**3 + 5/12*x**4 + 1/84*x**8 + 2*x**2 - 14 + 0*x - 7/60*x**6 + 1/105*x**7. Let m(l) = 0. What is l?
-2, -1, 1/2, 1
Let i(s) be the second derivative of -4/3*s**6 + 0 + 0*s**3 - 28*s + 0*s**2 + 3/7*s**7 - 1/3*s**4 + 13/10*s**5. Factor i(j).
2*j**2*(j - 1)**2*(9*j - 2)
Let b = -190/117 - -24/13. Let -2/9*w**3 + b + 2/9*w - 2/9*w**2 = 0. What is w?
-1, 1
Let q = -69 + 71. Let k be 7/15 + q/10 - 0. Factor -k + 4/3*v - 2/3*v**2.
-2*(v - 1)**2/3
Let b(o) be the first derivative of -3*o**5/5 + 3*o**4 + o**3 - 24*o**2 + 36*o - 492. Determine x so that b(x) = 0.
-2, 1, 2, 3
Find q such that -125 + 10*q**3 + 73*q**2 + 40*q**3 - 6*q + 5*q**4 - 61*q + 47*q**2 + 17*q = 0.
-5, -1, 1
Let f(z) be the second derivative of z**7/42 + z**6/5 + 11*z**5/20 + z**4/6 - 2*z**3 - 4*z**2 + 7*z. Factor f(g).
(g - 1)*(g + 1)*(g + 2)**3
Let o(a) be the third derivative of -a**8/840 - 19*a**7/525 - 33*a**6/100 - 27*a**5/50 + 157*a**2. Factor o(s).
-2*s**2*(s + 1)*(s + 9)**2/5
Let f(p) be the third derivative of -p**5/12 + 15*p**4/8 - 61*p**2. What is v in f(v) = 0?
0, 9
Let r = -83 - -90. Let p be (-2 + (-3)/(-2))/((-2)/r). Find j, given that -7/4*j**2 + 3/4*j**3 + 3/4 - p*j = 0.
-1, 1/3, 3
Let m(q) be the first derivative of -3*q**5/80 - q**4/16 + 9*q - 15. Let l(j) be the first derivative of m(j). What is g in l(g) = 0?
-1, 0
Let m = 202109/19 + -10637. Find q such that 2/19*q + 0 - m*q**2 + 4/19*q**3 = 0.
0, 1/2, 1
Let a(p) be the first derivative of 0*p**2 + 0*p - 1 + 1/9*p**3. Determine d so that a(d) = 0.
0
Let m(i) be the third derivative of -i**7/1050 - i**6/600 - 112*i**2. Factor m(x).
-x**3*(x + 1)/5
Let x(c) be the second derivative of -c**5/10 - 10*c**4/3 + c**3/3 + 20*c**2 + 112*c. What is q in x(q) = 0?
-20, -1, 1
Factor 3/5*d**4 - 12/5*d**2 + 0 - 3/5*d**3 + 12/5*d.
3*d*(d - 2)*(d - 1)*(d + 2)/5
Let y(t) be the third derivative of t**7/42 + 5*t**6/12 - t**5/12 - 25*t**4/12 - 13*t**2 - 2*t. Factor y(w).
5*w