 - 9/8*h**5 - 21/8*h**4 + 1/4*h**3 + t*h**2 = 0.
-2, -2/3, 0, 1
Let d(h) be the third derivative of h**6/280 - 5*h**5/84 + h**4/21 + 4*h**2 - 153*h. Factor d(u).
u*(u - 8)*(3*u - 1)/7
Let v(r) = -r**2 + 19*r - 16. Let c = 46 - 28. Let x be v(c). Suppose -7*n**4 - 9*n**3 + 0 - 6*n**4 + 0 + x*n - 5*n**5 + n**2 = 0. Calculate n.
-1, 0, 2/5
Let a = 3483673/754793 - 1/58061. What is b in 14/13*b**2 + 16/13 - a*b = 0?
2/7, 4
Let g = 128801 - 128799. Suppose 2/5 - 1/5*j**g + 1/5*j = 0. What is j?
-1, 2
Let c(h) be the first derivative of h**4/114 - 2*h**3/57 - 8*h**2/19 - 148*h - 280. Let o(t) be the first derivative of c(t). Factor o(p).
2*(p - 4)*(p + 2)/19
Suppose 5*i - 3*b + 7*b = -2, 14 = -3*i + 4*b. Let y be 0/(-35)*i/14. What is j in 0 - 3/2*j**2 - 5/2*j**3 + y*j + j**4 = 0?
-1/2, 0, 3
Factor -10971 + 24553764*q - 24553360*q + q**2 + 51775.
(q + 202)**2
Let l be (-4)/(-3)*27/18. Let p = 17879 - 17877. Factor -n**3 - 4/3*n**p - l + 13/3*n.
-(n - 1)*(n + 3)*(3*n - 2)/3
Let r = -1058434/7 + 151207. Solve -r*m + 26/7 - 12/7*m**2 + 1/7*m**3 = 0 for m.
-2, 1, 13
Let s = 383827/2 - 191912. Factor 0 - 9*g + s*g**2.
3*g*(g - 6)/2
Let q(r) be the first derivative of r**3/18 - 73*r**2/6 + 2662. Find h, given that q(h) = 0.
0, 146
Factor -3*q - 2*q**2 + 93*q + 125 + 44 - 40 + 59.
-2*(q - 47)*(q + 2)
Let f(j) be the first derivative of j**4/2 - 650*j**3/3 - 326*j**2 - 7394. Factor f(o).
2*o*(o - 326)*(o + 1)
Let a(w) be the third derivative of 5/6*w**4 + 29/24*w**6 + 8/3*w**5 + 1/6*w**7 + 0 + 0*w**3 + 9*w**2 - 21*w. Find q such that a(q) = 0.
-2, -1/7, 0
Let w(g) be the third derivative of g**5/60 - 463*g**4/12 + 214369*g**3/6 - 80*g**2. Let w(k) = 0. What is k?
463
Let i = 65 + -52. Let h = -11 + i. Factor 11*q**h + 14*q**2 + 10*q**2 - 31*q**2.
4*q**2
Let o = -1547 - -9179/6. Let x = -47/3 - o. Let -x*a**2 - a**3 + a + 0 = 0. What is a?
-2, 0, 1/2
Determine u so that 3341/6*u**3 - 98/3 - 3119/2*u**2 + 338/3*u**4 + 1316/3*u = 0.
-7, 2/13, 7/4
Let j(z) be the second derivative of z**7/105 + z**6/10 + 4*z**5/15 - z**4/2 - 3*z**3 - 55*z**2 - z + 1. Let i(b) be the first derivative of j(b). Factor i(u).
2*(u - 1)*(u + 1)*(u + 3)**2
Let i(b) be the second derivative of 79*b**4/4 + 75*b**3/2 - 6*b**2 + 9689*b. Factor i(n).
3*(n + 1)*(79*n - 4)
Let n be (3 + -3)/(9*5/15). Let u(o) be the third derivative of -1/70*o**7 + 0*o - o**3 + n + 16*o**2 - 9/20*o**5 - 1/8*o**6 - 7/8*o**4. Factor u(v).
-3*(v + 1)**3*(v + 2)
Let r = 7/9859 - -3154803/108449. Solve 18/11*h - 28/11 - 40/11*h**4 + 234/11*h**3 + r*h**2 = 0.
-1, -2/5, 1/4, 7
Factor -90*g**2 + 120*g + 55*g**3 - 785*g + 320*g - 200.
5*(g + 1)**2*(11*g - 40)
Let b = 671689/4 - 167917. Factor 2*r**2 + 9/2 + 1/4*r**3 + b*r.
(r + 2)*(r + 3)**2/4
Let b(u) be the first derivative of 10*u**3/3 + 2135*u**2/2 + 1065*u - 1630. Solve b(i) = 0 for i.
-213, -1/2
Let m(h) be the first derivative of 0*h - 35/6*h**6 + 19*h**5 + 5/3*h**3 - 75/4*h**4 + 5*h**2 - 140. What is l in m(l) = 0?
-2/7, 0, 1
Let h(u) be the first derivative of 5*u**3/3 - 140*u**2 + 275*u + 767. Determine g so that h(g) = 0.
1, 55
Determine p so that -42/23*p - 36/23 + 40/23*p**3 + 20/23*p**2 + 16/23*p**4 + 2/23*p**5 = 0.
-3, -2, -1, 1
Suppose -3*y + 18 - 9 = 0. Factor 2*w**y + 4*w**3 - 24*w**2 - 8*w**3.
-2*w**2*(w + 12)
Let b(x) be the first derivative of -x**3/12 + 583*x**2/4 - 1165*x/4 + 1350. Let b(i) = 0. Calculate i.
1, 1165
Suppose 9 = -5*r + n + 23, 0 = 3*n + 12. Let z(o) be the third derivative of 1/240*o**5 + 1/8*o**4 - 3*o**r + 0 + 3/2*o**3 + 0*o. What is s in z(s) = 0?
-6
Factor -127*l**2 - 8 + 120*l**2 - 2*l + 20*l.
-(l - 2)*(7*l - 4)
Let m(u) be the second derivative of -u**5/20 - 9*u**4/4 - 73*u**3/3 - 60*u**2 - 2469*u. Factor m(g).
-(g + 1)*(g + 6)*(g + 20)
Suppose 2*d - 5*i = -39, -7*d - 89*i + 88*i + 30 = 0. Solve 1458/7*a - 6/7*a**4 - 162*a**2 + 8748/7 + 150/7*a**d = 0 for a.
-2, 9
Let l be (-2646)/(-33) - 20/110. Let q be (-28)/10*l/(-56). Let -2/15*f + 2/15*f**3 + 2/15*f**2 - 2/15*f**q + 0 = 0. What is f?
-1, 0, 1
Factor -17*p + 135*p**2 - 29*p**3 - 135*p + p**4 + 89*p**2 - 44*p.
p*(p - 14)**2*(p - 1)
Let y be (16/(-3))/((-10)/15). Suppose 5*x + y = -f + 2*x, -2*f - 4*x - 8 = 0. Solve -21*q**5 + 63*q**2 + 20*q**f + 7*q**4 + 36*q**3 - 75*q**2 = 0.
-1, 0, 2/7, 2
Let l be (-14188)/17735*(2534/(-18) - 2)/((-12)/(-18)). Determine s, given that -l*s**3 + 14/3*s**4 - 1032*s - 432 + 4892/3*s**2 = 0.
-2/7, 1, 18
Let c(a) be the second derivative of 0 - 1/12*a**4 + 0*a**2 + 19/6*a**3 - 68*a. Let c(o) = 0. What is o?
0, 19
Let g be 222/(-4)*7072/(-130832). Suppose -1/2 + 1/2*t + t**2 - 1/2*t**4 + 1/2*t**5 - t**g = 0. What is t?
-1, 1
Let w be (-38)/(-12)*-2 + -38*(-16)/76. Determine l so that 0 - 4/3*l + 8/3*l**2 - w*l**4 + 7/3*l**3 = 0.
-1, 0, 2/5, 2
Let v = -28985 + 28988. Factor 0*g + 7*g**v - 11/5*g**4 - 6/5*g**2 + 0.
-g**2*(g - 3)*(11*g - 2)/5
Suppose 529*l**3 - 3196*l - 178*l**3 + 762 - 176*l**3 + 812*l**2 + 1626 - 179*l**3 = 0. What is l?
1, 3, 199
Suppose -58*i = -38*i - 9 - 71. Let d be 3/2 + 2/4. Factor -i*y**4 - 12*y - 4*y**d + 12*y**3 + 19 - 2 - 9.
-4*(y - 2)*(y - 1)**2*(y + 1)
Suppose 4*b + 2*b + 0*b = 0. Suppose b = -18*u - 82 + 118. Factor 2/13 + 2/13*q**u + 4/13*q.
2*(q + 1)**2/13
Suppose 11*z = 14*z - 156. Suppose -2*i + z = 2*i. Suppose -2*b**2 + i - 2*b**2 - 13 - 16*b**3 = 0. Calculate b.
-1/4, 0
Factor -57*d**2 - 21*d**4 - 10*d - 138*d**3 - d**5 - 167*d**2 + 165*d + 229*d.
-d*(d - 1)*(d + 6)*(d + 8)**2
Let m = 407 + -397. Factor -m*i**2 - 7*i - i**2 - 17*i**2 - i.
-4*i*(7*i + 2)
Suppose z = 2*n + 13, 0 = 9*z - 12*z + 3*n + 39. Solve -22*r**2 + z*r + 25*r**2 - 22*r = 0 for r.
0, 3
What is m in -69*m**3 + 0 - 3/2*m**5 + 24*m**4 - 216*m**2 - 243/2*m = 0?
-1, 0, 9
Let i(m) be the third derivative of 1/600*m**6 + 1/300*m**7 + 0*m**3 + 1/840*m**8 - 1/600*m**5 + 0*m**4 + 0*m + 0 - 38*m**2. Let i(t) = 0. What is t?
-1, 0, 1/4
Let n(i) = 3*i**3 - 6*i**2 - 55*i - 44. Let p(t) = -4*t**3 + 6*t**2 + 57*t + 44. Let f(y) = 3*n(y) + 2*p(y). Let f(b) = 0. What is b?
-4, -1, 11
Let s(c) = c**3 - 4*c**2 - 2*c - 12. Let g be 4*(-5)/(-16)*4. Let b be s(g). What is q in 2*q**b - q + 3*q + 0*q + 0*q**2 + 4*q**2 = 0?
-1, 0
Let r(v) = 27*v + 7*v**2 - 13*v - 4*v**2 - v**3 - 1 - 13*v. Let u be r(1). Factor 2/3*l**4 - 32/3*l + 10/3 + 12*l**u - 16/3*l**3.
2*(l - 5)*(l - 1)**3/3
Determine o, given that 19 - 6*o**2 + 12 + 50 - 32*o - 11 = 0.
-7, 5/3
Let x(d) be the first derivative of -3*d + 25/7*d**3 + 176 - 3/7*d**4 + 33/7*d**2. Let x(u) = 0. What is u?
-1, 1/4, 7
Let o(a) = 2*a**5 + a**4 + a**3 - 2*a. Let j(h) = -34*h**5 + 182*h**4 + 4352*h**3 - 31180*h**2 + 65756*h - 44944. Let p(f) = 2*j(f) + 36*o(f). Factor p(l).
4*(l - 2)**3*(l + 53)**2
Let t(w) = 21*w**2 - 83*w - 39. Let g(c) = 21*c**2 - 84*c - 42. Let b(q) = -18*q + 131. Let f be b(7). Let k(m) = f*g(m) - 6*t(m). Factor k(y).
-3*(y - 4)*(7*y + 2)
Let y(z) = 2*z**3 - 3*z**2 + 4*z + 4. Let w be y(3). Let o = 46 - w. Factor -10*g**3 + o*g**2 + 14*g**3 - 4*g**2 + 5*g**2.
4*g**2*(g + 1)
Suppose 3*o + 9 = 0, -4*w + 43 + 113 = -4*o. Let a = -30 + w. Solve 25*c - 63*c + 29*c - a + 0*c**2 - 3*c**2 = 0 for c.
-2, -1
Let r(a) be the first derivative of -a**5/330 + 4*a**3/33 - 47*a**2/2 + 24. Let h(u) be the second derivative of r(u). Suppose h(m) = 0. What is m?
-2, 2
Let a(c) be the third derivative of -7*c**6/40 + c**5/20 + 19*c**4/8 - 13*c**3/2 + 868*c**2. Let a(h) = 0. What is h?
-13/7, 1
Let q(n) be the third derivative of 0*n**3 - 9/20*n**5 - 7/4*n**4 - 1/40*n**6 + 0 + 5*n - 12*n**2. Factor q(f).
-3*f*(f + 2)*(f + 7)
Let c be 5/(-6)*(2/(-3) + 36/(-270)). Factor -c*x**4 + 0 - 4/3*x - 8/3*x**3 - 10/3*x**2.
-2*x*(x + 1)**2*(x + 2)/3
Let d = -231620 - -231622. Solve -10/3*i - 4 - 2/3*i**d = 0.
-3, -2
Let n be (-5 - -12)/(-28) - 1537626/24. Let a be 2/18 - n/5130. Let 3/5*y**4 + 0 + a*y**2 - 54/5*y - 24/5*y**3 = 0. What is y?
0, 2, 3
Suppose -3*x + 8*x - 2*g + 20 = 0, g - 5 = 0. Let l be x*(3 - (-86)/(-4)). Solve 25*m**2 - 4*m + 16*m**2 - l*m**2 = 0 for m.
0, 1
Suppose 8*r + 87 = 11*r. Let m = 31 - r. Find l such that -7*l - 5 - 1 + 6*l**2 - m*l - 9*l**2 = 0.
-2, -1
Let s(y) be the second derivative of 139*y + 5/2*y**5 + 1/15*y**6 + 0 + 704/3*y**3 + 36*y**4 + 512*y**2. Factor s(o).
2*(o + 1)*(o + 8)**3
Sup