-1
Let u(r) be the second derivative of -r**4/9 + 245*r**3/18 - 50*r**2 - 8189*r. Factor u(v).
-(v - 60)*(4*v - 5)/3
Let i(u) = -u**2 + 1513 + 42*u - 937 - 1005. Let l be i(24). Solve 10/3*c**2 - 5/6*c**5 + 5/3*c**l - 5/3 - 5/6*c - 5/3*c**4 = 0.
-2, -1, 1
Let n(p) be the second derivative of p**4/6 + 365*p**3/3 + 364*p**2 + 132*p + 4. Let n(x) = 0. Calculate x.
-364, -1
Determine b so that -155 - 44*b + 85 - 85 - 2*b**2 - 21 - 34 = 0.
-15, -7
Let c = 90221 + -631545/7. What is f in -2/7*f**3 + c*f - 8/7*f**2 + 8/7 = 0?
-4, -1, 1
Let v = 29/1395 - -2/1395. Let k(o) be the third derivative of -1/90*o**6 + 0*o + 9*o**2 - v*o**5 + 0*o**3 + 0*o**4 + 0. Let k(m) = 0. Calculate m.
-1, 0
Factor 3*g**2 + 1195*g + 1711*g + 425657 - 578*g + 25975.
3*(g + 388)**2
Let w(i) be the second derivative of -i**6/120 - i**5/16 + 47*i**4/16 + 279*i**3/8 - 243*i**2/2 - 43*i + 80. Find y, given that w(y) = 0.
-9, 1, 12
Let u(d) be the second derivative of -11*d**2 + 0*d**3 - 1/15*d**5 + 0 - 1/2*d**4 - 24*d. Let c(s) be the first derivative of u(s). Solve c(m) = 0.
-3, 0
Suppose -30075 = 43*j + 19934. Let x = 1167 + j. Determine v so that -3*v + 0*v**2 + 0 - 3/4*v**x + 9/4*v**3 = 0.
-1, 0, 2
Let j = 21 + -301. Let d = -559/2 - j. Let 0 - d*p + 3/4*p**2 = 0. Calculate p.
0, 2/3
Let m(f) = f**4 - 59*f**3 + 255*f**2 - 291*f - 3. Let q(x) = x**4 - 119*x**3 + 515*x**2 - 583*x - 7. Let b(t) = 7*m(t) - 3*q(t). Factor b(w).
4*w*(w - 6)**2*(w - 2)
Let r(t) be the first derivative of -119 + 0*t + 0*t**2 + 8/3*t**3 + t**4. Factor r(b).
4*b**2*(b + 2)
Let v = 28925 - 202451/7. Let -18/7*u**4 + 62/7*u**3 - v + 80/7*u - 102/7*u**2 + 2/7*u**5 = 0. Calculate u.
1, 2, 3
Let q = 1881/5 + -1878/5. Let t(y) be the first derivative of 1/10*y**2 - 7/3*y**3 + q*y + 6 - 61/20*y**4 - 28/25*y**5. Let t(w) = 0. Calculate w.
-1, -3/7, 1/4
Let b be (-2)/196 + (-951419)/(-1405614). Factor b*l**2 - 88/3*l + 0.
2*l*(l - 44)/3
Suppose 21 = 3*o - 3*i, 5*o + 5*i + 5 = -10. Factor -114*b**4 - 5*b**3 + 111*b**4 - b**3 + 9*b**o.
-3*b**2*(b - 1)*(b + 3)
Suppose -q = 0, -p + 7*q = 4*q - 3. Let n be ((-116)/87 + (-12)/(-9))/(-12 + 11). Factor 0*m**2 - 1/2*m**p + 0 + n*m.
-m**3/2
Factor -144 + 12/5*p + 4/5*p**2.
4*(p - 12)*(p + 15)/5
Suppose -138*u + 325*u = 561. Factor 18/5*g**2 + 0*g - 2/5*g**5 + 0 + 14/5*g**4 - 6*g**u.
-2*g**2*(g - 3)**2*(g - 1)/5
Let t be ((-4058)/8)/((-9)/36). Let g = t - 26375/13. Suppose -g*z + 0 - 4/13*z**5 + 14/13*z**4 + 10/13*z**2 - 18/13*z**3 = 0. What is z?
0, 1/2, 1
Let o(x) be the first derivative of 1024*x**4/7 - 2816*x**3/3 - 1902*x**2/7 - 180*x/7 - 257. Factor o(b).
4*(b - 5)*(32*b + 3)**2/7
Let b(y) = -18*y**2 - y + 1. Let a(f) = -288*f**2 - 8346*f - 96599. Let v(w) = -a(w) + 6*b(w). Factor v(j).
5*(6*j + 139)**2
Let f(l) be the first derivative of l**5/40 - 7*l**4/16 + 19*l**3/24 + 33*l**2/8 - 9*l - 1263. Solve f(j) = 0 for j.
-2, 1, 3, 12
Factor -14/3*r + 0*r**2 - 4 + 2/3*r**3.
2*(r - 3)*(r + 1)*(r + 2)/3
Let i(g) = -2*g**3 + 2*g**2 + g. Let x be i(-1). Let f(r) = 11*r - 4. Let n be f(x). Factor -11*u - 7*u + 4*u**2 + n*u - 13*u - 2*u**3.
-2*u*(u - 1)**2
Suppose 4449*q - 4452*q = -6. Let j(i) be the third derivative of 0*i**4 - 1/27*i**3 + 0 - 1/945*i**7 + 10*i**q + 0*i + 1/135*i**5 + 0*i**6. Factor j(y).
-2*(y - 1)**2*(y + 1)**2/9
Let y = 23779/4 - 166449/28. Factor -1/7*j**2 + y*j + 2/7.
-(j - 2)*(j + 1)/7
Let a(f) = -f**3 + 9*f**2 + 6*f + 14. Let x be a(8). Solve -32*m**5 - 90*m + 39*m**2 - 225*m**4 - 93*m**5 + 30*m**3 + 125*m**3 + x*m**2 = 0.
-2, -1, 0, 3/5
Factor -3/5*f**4 + 0*f + 0 - 18/5*f**3 - 27/5*f**2.
-3*f**2*(f + 3)**2/5
Let y = 1638 - 1633. Let m(x) be the third derivative of 0*x**3 + 1/40*x**6 + 1/10*x**4 - 2/25*x**y + 0*x + 15*x**2 + 0 - 1/350*x**7. What is t in m(t) = 0?
0, 1, 2
Let v be (-2 - 38/(-18))/(9532/21447) - -2. Determine t, given that 15/8*t**2 - 15/8*t - v + 15/8*t**3 + 3/8*t**4 = 0.
-3, -2, -1, 1
Let h(u) be the first derivative of 7*u**5 + 1325*u**4/2 + 1865*u**3/3 - 375*u**2 + 1748. Factor h(k).
5*k*(k + 1)*(k + 75)*(7*k - 2)
Determine m, given that 27*m**4 - 279*m**3 - 4617/2*m - 1/2*m**5 + 1188*m**2 + 1701 = 0.
3, 42
Let p be (-16)/(-3) - (-861)/(-2583). Let z**2 + 31/3*z**3 + 0 + 16/3*z**p - 2/3*z - 16*z**4 = 0. What is z?
-1/4, 0, 1/4, 1, 2
Let v(r) be the first derivative of -r**5/70 - r**4/21 - 38*r - 12. Let y(h) be the first derivative of v(h). Solve y(k) = 0.
-2, 0
Let j(v) = 80*v**3 - 8 - 230*v**2 - 47 + 95*v**2. Let n(m) = 3*m**3 - 5*m**2 - 2. Let p be ((-48)/32)/((-6)/(-220)). Let o(w) = p*n(w) + 2*j(w). Factor o(i).
-5*i**2*(i - 1)
Suppose -26372*h**2 - 10656*h**3 + 2845*h - 21115*h - 66*h**4 + 2*h**4 - 3414*h - 5904 = 0. Calculate h.
-164, -1, -3/4
Suppose 24 = -11*d + 57. Factor -46*q**2 - 35 + 75*q - 17*q**2 + 3*q**3 + 18*q**2 + 2*q**d.
5*(q - 7)*(q - 1)**2
Suppose 3*c - 2*c = -4*a + 12, -5*c = a - 22. Factor 12*s + 16*s**3 - 23*s**4 + 26*s**2 - 13*s**c + 38*s**4.
2*s*(s + 1)**2*(s + 6)
Let b = 82 + -78. Suppose -31 + 9 = -b*f + 3*p, 24 = 4*f - 4*p. Find w such that w**4 + 2*w**f - 12*w**4 + 0*w**5 + 3*w**5 = 0.
0, 3
Let z(c) be the first derivative of -14*c - 4/9*c**3 - 5 - 4/3*c**2 + 1/30*c**5 + 1/18*c**4. Let n(t) be the first derivative of z(t). Let n(j) = 0. What is j?
-2, -1, 2
Let q(h) be the third derivative of 3/160*h**6 - 1/6*h**3 - 29/240*h**5 + 0 - 109*h**2 + 1/4*h**4 + 0*h. Factor q(c).
(c - 2)*(c - 1)*(9*c - 2)/4
Find v such that 176/3 + 44/3*v**4 + 2/3*v**5 - 10/3*v**3 - 220/3*v**2 + 8/3*v = 0.
-22, -2, -1, 1, 2
Let y(u) = -15*u + 110. Let i(q) = -q**3 + 7*q**2 - 6*q - 13. Let x be i(5). Let s be y(x). Factor 0*a - 1/3*a**3 + 1/3*a**4 + 0 - 1/3*a**2 + 1/3*a**s.
a**2*(a - 1)*(a + 1)**2/3
Let y be (-2842)/2900*-10 - -1. Factor -y*f - 74/5*f**2 + 26/5 + 6/5*f**3.
2*(f - 13)*(f + 1)*(3*f - 1)/5
Solve 635/4*g**2 - 235/4*g**3 + 1 + 79/4*g**5 - 159/4*g**4 - 81*g = 0 for g.
-2, 1/79, 1, 2
Let m(j) be the first derivative of -12/25*j**5 + 41 + 0*j + 4/5*j**3 - 4/5*j**4 + 9/5*j**2 - 1/15*j**6. Solve m(w) = 0.
-3, -1, 0, 1
Suppose 9 = -3*j, -4*y + 6 + 27 = -3*j. Let q(p) = 3*p + 2 - p + p + 3 + 6*p**3. Let s(a) = 5*a**3 + 3*a + 4. Let i(f) = y*q(f) - 7*s(f). Solve i(k) = 0 for k.
-2, 1
Let b(d) be the second derivative of 0*d**2 + 1/4*d**5 - 5/6*d**3 + 1/30*d**6 + 63*d + 0 - 1/12*d**4. Factor b(l).
l*(l - 1)*(l + 1)*(l + 5)
Factor 17 - 1331*u + 20*u**2 + 1499*u - 50*u**3 - 161.
-2*(u + 2)*(5*u - 6)**2
Let z(p) be the second derivative of p**7/14 - 12*p**6/5 + 363*p**5/20 - 123*p**4/2 + 110*p**3 - 108*p**2 + 11111*p. Let z(y) = 0. Calculate y.
1, 2, 18
Let j = 222 - 244. Let g = 26 + j. Suppose 8/7 - 10/7*n**3 + 64/7*n + 138/7*n**2 - 200/7*n**g = 0. What is n?
-2/5, -1/4, 1
Let p be 13 + 1*3/(-1). Suppose 8*d**2 + 7*d**2 - p*d - 15 + 2*d**2 - 12*d**2 = 0. What is d?
-1, 3
Let t = -6 - -14. Suppose 5*s - t = s. What is m in 32*m**3 - 20*m**s + 16*m**4 + 72*m**2 + 6*m + 16*m**3 + 4 + 18*m = 0?
-1, -1/2
Let q(l) be the second derivative of -l**8/336 + l**6/40 + l**5/30 - 27*l**2/2 - 4*l + 8. Let m(s) be the first derivative of q(s). Find y such that m(y) = 0.
-1, 0, 2
Let p(o) be the third derivative of o**8/6720 + 167*o**7/6720 - 7*o**6/160 + 57*o**5/20 - 32*o**2 + 3. Let q(f) be the third derivative of p(f). Factor q(b).
3*(b + 42)*(4*b - 1)/4
Let q(n) be the first derivative of -n**4/16 + n**3/6 + 225*n**2/2 - 2754*n + 2939. Solve q(k) = 0 for k.
-34, 18
Let v(r) be the first derivative of 12*r**4 + 137*r**3/12 - 29*r**2/4 - 3*r/4 + 13066. Factor v(g).
(g + 1)*(3*g - 1)*(64*g + 3)/4
Let y = 2674421/420 - 19103/3. Let h(c) be the third derivative of 11/84*c**4 - 1/35*c**5 + 35*c**2 + y*c**6 - 2/7*c**3 + 0 + 0*c. Find a, given that h(a) = 0.
1, 2, 3
Let m = -44219/4 + 11066. Let a(r) be the second derivative of 5*r**4 + 3/4*r**5 + m*r**2 + 0 + 65/6*r**3 - 19*r - 1/12*r**6. Factor a(w).
-5*(w - 9)*(w + 1)**3/2
Let x = -418797/2 + 209400. Factor -3*t + 3/2*t**2 + 3*t**3 - x*t**4 + 0.
-3*t*(t - 2)*(t - 1)*(t + 1)/2
Suppose -6792*o = -6*y - 6796*o - 44, 3*o = 4*y - 50. Factor -55/6*i - 19/3*i**y - 7/3 + 1/2*i**3.
(i - 14)*(i + 1)*(3*i + 1)/6
Let s = -581 + 614. Let a be ((-416)/(-24))/(44/s). Determine y so that -5/2*y**5 + a*y**2 - 4 - 9*y**4 + 6*y - 7/2*y**3 = 0.
-2, -1, 2/5, 1
Factor 64/3*r - 1/6*r**4 - 31/3*r**2 - 16 + 