2/3*u**2 + s*u + 2.
2*(u + 1)*(u + 3)/3
Solve -3/2*u**3 + 24 - 21/2*u**2 - 12*u = 0 for u.
-4, 1
Let u = 26 - 54. Let n be 4*(u/8)/(-7). Suppose -13*g**n + 2*g - 3*g**3 + 0*g**4 + g**5 + 14*g**2 - g**4 = 0. Calculate g.
-1, 0, 1, 2
Let t be (-2)/(-13) - 531/(-1534). What is a in -1/2*a**3 + t*a - 5/2*a**2 + 5/2 = 0?
-5, -1, 1
Let t be 198/60 + (-19)/190. Factor t*v + 32/5 + 2/5*v**2.
2*(v + 4)**2/5
Let q(s) be the second derivative of -s**4/18 - 37*s**3/9 - 12*s**2 + 182*s. Factor q(t).
-2*(t + 1)*(t + 36)/3
Suppose 3*w + 21 = 3*r, 0*r - 3*w = r + 13. Suppose -6*f**2 - 3*f + f + 6*f + 2*f**r = 0. Calculate f.
0, 1
Let p(a) be the first derivative of -a**5 - 5*a**4/2 - 5*a**3/3 + 84. Factor p(h).
-5*h**2*(h + 1)**2
Let w(p) be the second derivative of -p**4/30 - 64*p**3/15 - 1024*p**2/5 - 91*p. Find z such that w(z) = 0.
-32
Let g be 41/(-41)*-1*0/2. Let r(u) be the third derivative of 0*u + 0*u**6 + 1/75*u**5 - 1/525*u**7 + 0 + g*u**4 - 1/15*u**3 - 5*u**2. Factor r(a).
-2*(a - 1)**2*(a + 1)**2/5
Let q(r) be the third derivative of r**7/420 - 47*r**6/240 - 97*r**5/120 - 49*r**4/48 - r**2 - 61*r. Solve q(l) = 0 for l.
-1, 0, 49
Suppose -2544 + 2390 = -35*p - 42*p. Factor 2*m - 8/3*m**p + 0 + 2/3*m**3.
2*m*(m - 3)*(m - 1)/3
Let q be ((-8)/(-16))/(16/4). Suppose -3/8*i - 1/8*i**3 - q - 3/8*i**2 = 0. Calculate i.
-1
Let z(f) = f + 7. Let a be z(-4). Factor -3*s**2 - 13 - 2 - 22*s**2 + 5*s**a + 35*s.
5*(s - 3)*(s - 1)**2
Let v = 40098/7 - 5728. Let -24/7*p + 72/7 + v*p**2 = 0. What is p?
6
Let s = 3572 + -17836/5. What is a in 3/5*a**2 + s*a + 0 = 0?
-8, 0
Suppose 3*o - 19 + 10 = 0. Suppose o*s = 2*s. Solve 10*v**4 + 0*v + v**5 - 11*v**4 + s*v = 0 for v.
0, 1
Let n(s) = -s**2 - 8*s + 12. Let t = -64 - -55. Let f be n(t). Factor 1 - 10*o**2 - 3/2*o + 21/2*o**f.
(o - 1)*(3*o + 1)*(7*o - 2)/2
Factor 2*b**2 + 12*b**4 + 8*b**4 - b**5 - 32*b**4 + 21*b + 10 - 20*b**3.
-(b - 1)*(b + 1)**3*(b + 10)
Let u be 1 + 4 + (-12)/4. Let r = 191/3 + -63. Let 0 - 1/3*h**3 - h**u - r*h = 0. Calculate h.
-2, -1, 0
Suppose 30*p**4 - 10*p**4 + 31*p**3 - 5*p**4 + 9*p**3 + 20*p**2 = 0. What is p?
-2, -2/3, 0
Solve 1/5*i**2 - 27/5 + 6/5*i = 0 for i.
-9, 3
Let v(m) = m**3 + 3*m**2 + 4*m + 4. Let c be v(-2). Factor -12 - 14*n + 2*n**2 + c*n**2 + 7*n**2 + n**2.
2*(n - 2)*(5*n + 3)
Let s(n) = 18*n**3 + 54*n**2 - 72*n + 26. Let d(g) = -2*g**3 - 6*g**2 + 8*g - 3. Let l(k) = 52*d(k) + 6*s(k). Let l(z) = 0. What is z?
-4, 0, 1
Let g(d) = -225*d**3 + 468*d**2 - 43*d - 7. Let q(o) = -75*o**3 + 156*o**2 - 14*o - 2. Let i(n) = -2*g(n) + 7*q(n). Factor i(m).
-3*m*(m - 2)*(25*m - 2)
Let g be (-23)/23 - (-1 - 60). Let z be 2/g + ((-4)/8)/(-1). Suppose -2/5*b - z + 2/15*b**2 = 0. Calculate b.
-1, 4
Let m = 12 - 10. Let x be ((-10)/(-15)*1)/((-4)/(-9)). Factor 1/2*h**3 - 1 - 5/2*h + 1/2*h**4 - x*h**m.
(h - 2)*(h + 1)**3/2
Suppose 0 - 27*h + 9/2*h**2 + 3/2*h**3 = 0. What is h?
-6, 0, 3
Suppose -192*i - 216 + 70/3*i**2 - 2/3*i**3 = 0. What is i?
-1, 18
Factor -16/19 + 24/19*m**4 + 142/19*m**3 + 276/19*m**2 + 168/19*m.
2*(m + 2)**3*(12*m - 1)/19
Let z(s) be the first derivative of -4*s**3/9 - 128*s**2/3 - 4096*s/3 - 102. Factor z(y).
-4*(y + 32)**2/3
Let g(b) = 3*b - 2. Let u be g(2). Suppose 5*c - 10 = 2*t + 3*t, 4*c - 8 = -u*t. Solve t - 3/5*s + 3/5*s**3 - 3/5*s**4 + 3/5*s**2 = 0.
-1, 0, 1
Let q(v) = -v**3 + v**2 + v - 3. Let g(f) = -2*f**4 - 15*f**3 + 37*f**2 + 43*f - 21. Let a(w) = 2*g(w) - 14*q(w). Solve a(z) = 0 for z.
-6, -1, 0, 3
Let d = 91 - 635/7. Let t be -3 - (438/(-56) - (-7)/28). Factor -16/7*i - d*i**2 - t.
-2*(i + 4)**2/7
Let l = 77 + -155. Let b = l - -78. Solve 4/7*c**2 + b + 1/7*c**4 + 0*c + 4/7*c**3 = 0 for c.
-2, 0
Let u = 1/625 + 4372/1875. Factor 1/3*n**3 + 5/3*n**2 + 1 + u*n.
(n + 1)**2*(n + 3)/3
Let f(q) be the second derivative of 1/2*q**4 + 9/2*q**3 - 26*q - 27/20*q**5 + 0 - 3*q**2. Factor f(p).
-3*(p - 1)*(p + 1)*(9*p - 2)
Let c be (39/(-21) + 2)*-5. Let p = c + 32/35. Solve 1/5 + p*h**2 - 2/5*h = 0 for h.
1
Let x(u) be the first derivative of -8*u**6 - 552*u**5/5 - 1947*u**4/4 - 691*u**3 - 705*u**2/2 - 75*u - 210. What is m in x(m) = 0?
-5, -1, -1/4
Let m(g) be the second derivative of g**7/98 - 3*g**6/70 - 9*g**5/28 - 17*g**4/28 - 3*g**3/7 - 2*g - 56. Factor m(d).
3*d*(d - 6)*(d + 1)**3/7
Let j(r) be the third derivative of 1/360*r**6 + 0*r - 1/36*r**5 + 1/18*r**4 + 0*r**3 - 3*r**2 + 0. Determine o, given that j(o) = 0.
0, 1, 4
Let l = -46/1051 - -209708/36785. Let t = 34/5 - l. Factor 20/7*o**5 + 152/7*o**3 - 128/7*o**2 - t - 88/7*o**4 + 52/7*o.
4*(o - 1)**4*(5*o - 2)/7
Let v = -12577/7 - -1797. Let -10/7 + v*h**2 - 8/7*h = 0. Calculate h.
-1, 5
Let o(u) = u**3 - 4*u**2 - 4*u. Let x be o(4). Let w = -4 - x. What is z in 6*z**3 + 2*z**3 - 5*z**3 - w*z + 0*z = 0?
-2, 0, 2
Let a(f) be the first derivative of -f**6/135 + f**5/15 - f**4/6 + 10*f + 10. Let q(w) be the first derivative of a(w). Factor q(v).
-2*v**2*(v - 3)**2/9
Let y(q) be the second derivative of 0 + 0*q**3 + 1/18*q**4 + 0*q**2 - 1/126*q**7 + 1/20*q**5 + 35*q + 0*q**6. What is b in y(b) = 0?
-1, 0, 2
Suppose 9 = -v + 13. Suppose v*t**4 + 8*t**2 - 8*t**3 + t**2 - 5*t**2 = 0. Calculate t.
0, 1
Let w(s) be the first derivative of -7/5*s**5 - 24 - 1/3*s**3 + 0*s - 3/2*s**4 - 5/12*s**6 + 1/4*s**2. Let w(d) = 0. Calculate d.
-1, 0, 1/5
Let 0 + 1/2*s**2 + 4*s = 0. What is s?
-8, 0
Let j be (-6)/(-36) - 58/(-12). Let n(q) = -q**3 + 4*q**2 + 5*q + 2. Let z be n(j). Find p, given that 2/5*p**z + 4/5*p + 0 = 0.
-2, 0
Let i(x) be the third derivative of -5*x**9/3024 + 5*x**8/336 - x**7/24 + x**6/24 - x**3/3 + 8*x**2. Let m(q) be the first derivative of i(q). Factor m(r).
-5*r**2*(r - 3)*(r - 1)**2
Solve 26/5 - 2/5*j**2 - 24/5*j = 0 for j.
-13, 1
Let q(a) be the first derivative of -4*a**3 + 0*a + 13/4*a**4 + 1/6*a**6 + 2*a**2 - 10 - 6/5*a**5. What is s in q(s) = 0?
0, 1, 2
Find s, given that -9*s**4 + 4*s - 15*s + 10*s**4 + 3*s**2 - 8*s**2 + 2*s**3 + 5*s = 0.
-3, -1, 0, 2
Let c(u) be the first derivative of -4*u**3/3 - 52*u**2 - 676*u + 100. Solve c(z) = 0.
-13
Let -32/9*h**2 - 16/9*h**4 + 0 + 2/9*h**5 + 4*h**3 + 10/9*h = 0. What is h?
0, 1, 5
Let p(f) be the first derivative of -f**6/2 + 18*f**5/5 - 21*f**4/4 - 6*f**3 + 12*f**2 - 172. Find l such that p(l) = 0.
-1, 0, 1, 2, 4
Suppose x + 15 = 23. Let h = -4 + 9. Factor -x*q**2 - q**5 + 17*q**3 + 4 + 4*q**h - 13*q**4 + 5*q**2 - 8*q.
(q - 2)*(q - 1)**3*(3*q + 2)
Let f(v) be the second derivative of -v**4/30 - 2*v**3/5 + 7*v**2/5 - 8*v + 2. Factor f(a).
-2*(a - 1)*(a + 7)/5
Let 269*f - 284*f + 5*f**2 + 2*f**2 - 3*f**2 - f**2 = 0. Calculate f.
0, 5
Let d(w) be the first derivative of w**4/3 - 4*w**3/3 - 2*w**2/3 + 4*w + 74. Solve d(f) = 0 for f.
-1, 1, 3
Let n be (4 - (-65)/(-13))*-4. Let q(a) be the first derivative of 4/7*a**3 - 4/7*a - 5/7*a**2 + 8 + 9/14*a**n. Determine r so that q(r) = 0.
-1, -1/3, 2/3
Solve -28/13 + 30/13*k - 2/13*k**2 = 0 for k.
1, 14
Let i = -463 + 69. Let l be i/(-11) + 24/132. Suppose 19*n**4 + 109*n**4 + 103*n**5 + 3*n + 52*n**4 + l*n**2 + 138*n**3 - 28*n**5 = 0. What is n?
-1, -1/5, 0
Let l be (-16950)/(-15)*(-2 + 7/2). Factor -4*r + 13 - 2*r**2 - 1694*r**3 + l*r**3 - 5.
(r - 2)**2*(r + 2)
Let b(c) be the third derivative of 1/20*c**5 + 0*c**3 + 3/40*c**4 + 1/200*c**6 + 0 - 1/350*c**7 + 21*c**2 + 0*c. Determine d so that b(d) = 0.
-1, 0, 3
Let p(b) be the second derivative of -b**7/14 + 4*b**6/5 + 9*b**5/20 - 11*b**4/2 - 8*b**3 - 3*b + 14. Determine m, given that p(m) = 0.
-1, 0, 2, 8
Let j(a) be the third derivative of a**7/350 + 7*a**6/25 + 419*a**5/50 + 189*a**4/5 + 729*a**3/10 - 34*a**2. Factor j(b).
3*(b + 1)**2*(b + 27)**2/5
Let c = -2050/3 + 1700/3. Let t = -114 - c. Factor -4/3*l**2 - t - 4*l.
-4*(l + 1)*(l + 2)/3
Let n be ((-4)/11)/2 - (-175)/55. Let -7*v**2 - n - 8*v**2 - 3 - 7*v - 14*v = 0. What is v?
-1, -2/5
Let j(s) = s**2 - 11*s - 9. Let c be 14 - (6 + (-3 - 1)). Let k be j(c). Factor -2*w**5 - 6*w**k + 0*w**4 - 2*w**2 - w**4 - 5*w**4 + 0*w**5.
-2*w**2*(w + 1)**3
Find y such that 21*y + 135 + 19*y**2 + 39*y - 14*y**2 = 0.
-9, -3
Suppose 169 - 105 - 40*u + 2*u**2 + 2*u**2 = 0. What is u?
2, 8
Let w(l) be the third derivative of -l**6/24 + 7*l**5/12 - 10*l**4/3 + 10*l**3 - 111*l**2. Suppose w(p) = 0. What is p?
2, 3
Let y(