- 22/3*a**2 - 1/3*a**4 - 3.
-(a - 3)**2*(a - 1)**2/3
Let x(h) = 56*h + 2*h**5 + 4*h**2 - 4*h**4 - 56*h - 1. Let d(t) be the first derivative of t**6/6 - t**5/5 - t - 28. Let f(u) = -3*d(u) + 3*x(u). Factor f(v).
3*v**2*(v - 2)**2*(v + 1)
Suppose 100 = 5*j - 145. Suppose -2*s + 5*y + j = 0, s - 27 = 5*y - 10. Find c such that 88*c**3 + s*c**2 + 10 + 4*c**5 - 12*c + 72*c**4 + 16*c**5 - 18 = 0.
-1, 2/5
Let j(d) = d**3 + 14*d**2 - d + 4. Let b be (4 - 1)*84/(-18). Let n be j(b). Suppose -7*i**3 - 6*i**3 + 5*i**2 - n*i + 28*i + 3*i**3 - 5*i**4 = 0. Calculate i.
-2, -1, 0, 1
Let 0*m - 1/4*m**5 - 5/2*m**4 - 7*m**3 + 0 - 6*m**2 = 0. Calculate m.
-6, -2, 0
Determine t so that 140714/11*t**4 + 246192/11*t**3 + 139536/11*t**2 + 2592/11 + 31968/11*t + 24334/11*t**5 = 0.
-3, -2, -6/23
Let y(f) = 2*f**3 + 22*f**2 + 24*f + 42. Suppose 56 = -5*i + 2*l, -15*l + 16*l + 7 = -i. Let d be y(i). What is a in 50/3*a**d - 4 + 10/3*a = 0?
-3/5, 2/5
Factor 0 + 1989/7*r**2 - 8/7*r**3 + 747/7*r.
-r*(r - 249)*(8*r + 3)/7
Let o(m) = -15*m**2 - 102*m + 2. Let y(s) = 83*s**2 + 511*s - 11. Let h(p) = -44*o(p) - 8*y(p). Factor h(a).
-4*a*(a - 100)
Let c be ((-12)/45*-3)/((-122)/(-305)). Let i(l) be the second derivative of 0 + c*l**3 + 1/3*l**4 - l + 4*l**2. Find r such that i(r) = 0.
-2, -1
Find y such that -4/11*y**3 + 38/11*y**2 + 0 - 6/11*y**4 - 12/11*y = 0.
-3, 0, 1/3, 2
Let y(b) be the second derivative of -b**7/147 + 19*b**6/105 - 13*b**5/14 + 11*b**4/6 - 10*b**3/7 + 61*b - 39. Suppose y(l) = 0. What is l?
0, 1, 2, 15
Factor -10*y**2 - 68/7*y + 68/7*y**3 + 69/7 + 1/7*y**4.
(y - 1)**2*(y + 1)*(y + 69)/7
Suppose 5 = 2*k - 3. Suppose 0 = -5*b + g + 13, -k*g - 8 = b + 2. Solve -1/7*r**b - 1/7 + 2/7*r = 0.
1
Let 38*i**4 - i**3 + 3*i + 8*i - 2*i - 318*i**2 - 37*i**4 + 309*i**2 = 0. Calculate i.
-3, 0, 1, 3
Factor -81992*d**5 + 0*d**4 - 6*d**3 + 3*d**4 + 81995*d**5.
3*d**3*(d - 1)*(d + 2)
Let j = -81/92 - -3923/276. Factor j*b**3 + 100/3*b**2 + 0 + 4/3*b**4 + 0*b.
4*b**2*(b + 5)**2/3
Let y(i) be the third derivative of 0*i + 0*i**4 - 65*i**2 + 0 + 1/30*i**6 + 1/15*i**5 + 0*i**3. Factor y(h).
4*h**2*(h + 1)
Suppose 4*d = -8, 3*f - f + 2*d = 0. Determine k so that 72 + 2*k**f - k**3 - 314*k + 179*k + 174*k = 0.
-3, 8
Suppose 3*x - 3*t - 48 = 0, 5*x - 90 = -0*x - 5*t. Suppose 18553*r**3 + 30*r**2 + 240*r + 21*r**2 + x - 18550*r**3 + 175 = 0. Calculate r.
-8, -1
Let c(k) be the second derivative of -3*k**5/20 + 97*k**4/2 - 16*k + 12. Solve c(g) = 0.
0, 194
Let t(b) = b**2 + 356*b + 2443. Let h be t(-7). Let p(w) be the second derivative of -1/45*w**4 + 0 + h*w**2 - 6*w - 1/45*w**3 - 1/150*w**5. Factor p(k).
-2*k*(k + 1)**2/15
Let r(u) = 8*u**2 - 9590*u + 11366900. Let s(w) = -25*w**2 + 28779*w - 34100698. Let y(g) = 19*r(g) + 6*s(g). Factor y(k).
2*(k - 2384)**2
Factor -5*p**5 + 0*p**5 - 977*p**3 - 48 + 176*p + 1001*p**3 - 152*p**2 + 17*p**4.
-(p - 2)**3*(p + 3)*(5*p - 2)
Suppose -6*a - 1 + 7 = 0. Suppose -y + a = -1. Factor w**y - 5*w - 2 + 6 - 1 + 1.
(w - 4)*(w - 1)
Let n(i) be the first derivative of i**7/189 + i**6/27 + i**5/15 - 2*i**4/27 - 8*i**3/27 - 35*i + 37. Let w(z) be the first derivative of n(z). Factor w(b).
2*b*(b - 1)*(b + 2)**3/9
Let i(x) = -16*x + 50. Let g be i(-8). Solve 142 + g - 75 + 5*c**2 - 70*c = 0 for c.
7
Let v be 12/(-42)*(-11 + 4). Let b(a) be the third derivative of 19*a**v + 1/96*a**4 + 0*a**3 + 0*a + 1/480*a**6 + 0 + 1/96*a**5. Factor b(r).
r*(r + 2)*(2*r + 1)/8
Suppose 15 = -3*f - 3*x, -3*f - 5*x - 10 = 15. Suppose 7*u + f*u = 21. Find o, given that o**3 - 16*o**2 - 4*o**3 + 7*o**u = 0.
0, 4
Let g(p) = p**3 + 29*p**2 - 380*p - 10497. Let y be g(-30). Solve 477/7*t + 390/7*t**2 - 3/7*t**4 - 3/7*t**5 + 102/7*t**y + 27 = 0 for t.
-3, -1, 7
Let y(s) = -3*s**2 + 2*s + 200. Let w be y(0). Factor 385*m**4 + 8*m**2 - w*m**3 + 8*m**2 + 4*m**2 + 605*m**5.
5*m**2*(m + 1)*(11*m - 2)**2
Let n(i) be the third derivative of -i**8/7560 + i**6/1620 + 3*i**3/2 + 65*i**2. Let b(t) be the first derivative of n(t). Solve b(x) = 0.
-1, 0, 1
Let n = -31 - -24. Let t be (-1)/n - 110/(-14). What is z in -z**4 - t*z + 14*z**5 - 11*z**5 + z**2 + 6 - 2 + 5*z**3 - 4*z**5 = 0?
-2, 1
Let n(a) be the third derivative of a**6/120 + 97*a**5/60 + 95*a**4/12 + 10031*a**2 - 1. Solve n(s) = 0 for s.
-95, -2, 0
Let h be (-4)/26 + (-17220)/(-40950). Let l(u) be the first derivative of -h*u**5 - 1/6*u**2 - 4/9*u**3 - 1/2*u**4 + 0*u + 9 - 1/18*u**6. What is j in l(j) = 0?
-1, 0
Let f(d) be the first derivative of 9 + 0*d + 2*d**2 + 1/135*d**6 + 4/27*d**4 - 17/270*d**5 - 1/9*d**3. Let q(m) be the second derivative of f(m). Factor q(o).
2*(o - 3)*(o - 1)*(4*o - 1)/9
Let l(b) be the first derivative of -3*b**4/4 - b**3 + 63*b**2/2 + 135*b + 129. What is v in l(v) = 0?
-3, 5
Let u = 62988161/335 + -188024. Let a = u + 16/67. Factor -a*d**2 - 12/5*d - 9/5.
-3*(d + 1)*(d + 3)/5
Suppose 5*w = -5*k - 7270, -6*w = -8*w + 4*k - 2908. Let l = w - -15996/11. Suppose -8/11 + 6/11*m + l*m**2 = 0. What is m?
-4, 1
Let k = 10 + -7. Suppose 5*g + 0*l - 85 = -4*l, -k*g - l + 44 = 0. Factor -2*p - 26*p**2 + 18*p**2 + g*p**2 + 7*p.
5*p*(p + 1)
Suppose 178*f - 513 = 21. Suppose -18/7 + 2/7*z**f - 2*z**2 + 30/7*z = 0. Calculate z.
1, 3
Suppose 118355*h = 118351*h. Let s(k) be the second derivative of -1/10*k**2 + 11*k + 0 + h*k**3 + 1/60*k**4. Let s(c) = 0. What is c?
-1, 1
Let u = 9/37 + -741/2590. Let i = 253/630 - u. Factor 0 - 4/9*h**2 + 0*h + 4/9*h**4 - i*h**3 + 4/9*h**5.
4*h**2*(h - 1)*(h + 1)**2/9
Let i(k) be the second derivative of 360*k**7/7 + 6372*k**6/5 + 12375*k**5 + 345929*k**4/6 + 362297*k**3/3 + 59582*k**2 + 6324*k. Determine b so that i(b) = 0.
-31/6, -2, -1/5
Let z(j) = 4347*j**2 - 7659*j + 3367. Let x(l) = 26085*l**2 - 45953*l + 20201. Let k(p) = 3*x(p) - 17*z(p). Solve k(y) = 0 for y.
29/33
Let t(m) be the first derivative of -m**4/7 - 115*m**3/21 - 187*m**2/14 + 54*m/7 + 3638. Factor t(b).
-(b + 2)*(b + 27)*(4*b - 1)/7
Factor 5/6*k**5 + 0*k - 365/6*k**3 + 175/6*k**4 + 185/6*k**2 + 0.
5*k**2*(k - 1)**2*(k + 37)/6
Let y(j) = 12*j**2 + 1050*j - 2. Let z(w) = -127*w**2 - 10501*w + 21. Let m(i) = 42*y(i) + 4*z(i). Determine k so that m(k) = 0.
0, 524
Determine b so that 296/11*b**3 + 0*b - 200/11*b**2 - 94/11*b**4 + 0 - 2/11*b**5 = 0.
-50, 0, 1, 2
Let s(o) be the third derivative of 6/55*o**5 + 576/11*o**3 + 0 - 36/11*o**4 + 0*o - 45*o**2 - 1/660*o**6. Determine x, given that s(x) = 0.
12
Let n(a) = -123*a**3 + 1092*a**2 - 1383*a + 378. Let z = 158 + -163. Let s(j) = -35*j**3 + 312*j**2 - 395*j + 108. Let u(i) = z*n(i) + 18*s(i). Factor u(q).
-3*(q - 9)*(q - 1)*(5*q - 2)
Let r(q) = 5*q**2 - 177*q + 762. Let x(k) = -135*k**2 + 4780*k - 20580. Let c(m) = 55*r(m) + 2*x(m). Factor c(z).
5*(z - 30)*(z - 5)
Let c(d) be the first derivative of 10/33*d**3 + 4/11*d**4 - 14/11*d**2 + 2/55*d**5 - 62 + 0*d. Let c(h) = 0. What is h?
-7, -2, 0, 1
Suppose 5*i - 24 = 3*i. Let s(c) = -c**3 + 6*c**2 - 4*c - 3. Let v be s(5). Factor 37*x**2 - i*x**3 + 9*x + 2*x**4 + 2*x**4 - 33*x**v + 3*x - 8.
4*(x - 2)*(x - 1)**2*(x + 1)
Let l(w) = -2*w + 6. Let a be l(3). Suppose v - 5*s + 23 = a, v + 3*s - 5 = 6*v. Factor 3*k**2 + 3*k**2 - 12*k**v + 4*k**2 - 4*k.
-2*k*(k + 2)
Let n(a) = 50*a**3 - 23922*a**2 - 23232*a. Let r(g) = -4*g**3 + 1992*g**2 + 1936*g. Let q(j) = 6*n(j) + 74*r(j). What is f in q(f) = 0?
-968, -1, 0
Let z(h) be the third derivative of -85/24*h**3 + 0 - 1/48*h**5 + 0*h - 42*h**2 - 15/16*h**4. Solve z(v) = 0 for v.
-17, -1
Factor 534*x**2 - 3*x**2 - 3785*x - 14238*x - 21181*x + 63*x**2 - 3*x**3 + 862488.
-3*(x - 66)**3
Let d = 12119 + -24229/2. Solve 21/2*z - d*z**3 - 18*z**2 + 3*z**4 + 9 = 0 for z.
-2, -1/2, 1, 3
Let n(y) be the second derivative of y**4/24 + 267*y**3/2 + 641601*y**2/4 + 5632*y. Factor n(i).
(i + 801)**2/2
Let c(j) be the third derivative of 0 + 8/9*j**3 - 138*j**2 + 0*j + 1/180*j**5 + 17/72*j**4. Factor c(p).
(p + 1)*(p + 16)/3
Let q(j) be the second derivative of 4*j**7/525 + j**6/600 - 7*j**2 + 3*j - 4. Let o(r) be the first derivative of q(r). Factor o(a).
a**3*(8*a + 1)/5
Factor -28*f + 165 + 1961*f**2 + 1957*f**2 - 26*f - 3915*f**2 + 51.
3*(f - 12)*(f - 6)
Let g(q) be the second derivative of 81*q**5/4 + 7995*q**4/2 + 10630*q**3/3 + 1180*q**2 - 41*q + 19. Factor g(i).
5*(i + 118)