3*h**2.
3*h**2*(h - 2)**2*(h - 1)/4
Let x = 88 - 47. Let 48 + x - 928*q - 9 - 68*q**2 + 3580*q**2 - 4392*q**3 + 405*q**4 = 0. What is q?
2/9, 2/5, 10
Let f(w) be the first derivative of -w**4/2 - 74*w**3/3 + 38*w**2 + 725. Factor f(r).
-2*r*(r - 1)*(r + 38)
Let v = 180 - 166. Determine c so that -9*c**3 - c**4 - v*c**2 + 9*c**3 + 15*c**2 = 0.
-1, 0, 1
Let k = 28553296/33312195 - -2/4758885. Let 0 - 38/7*l**3 - 6*l**2 - 10/7*l - k*l**4 = 0. What is l?
-5, -1, -1/3, 0
Determine c so that 84/13*c + 2/13*c**3 - 98/13*c**2 + 576/13 = 0.
-2, 3, 48
Let k be (24/(-30))/(2902/5). Let s = 2896/4353 - k. Determine o so that 8/3 - 14/3*o**2 - 2/3*o**5 + 0*o + s*o**3 + 2*o**4 = 0.
-1, 1, 2
Let m(d) be the third derivative of 0*d + 7/540*d**5 + 35*d**2 - 1/1620*d**6 - 1/18*d**4 + 20/3*d**3 + 0. Let q(s) be the first derivative of m(s). Factor q(c).
-2*(c - 6)*(c - 1)/9
Let w = -2231/29 + 11271/145. What is i in 2/5*i**2 - w*i + 2/5 = 0?
1
Let m = 986 - 1006. Let o be (-25)/(-3) - 2*(-50)/m. Find t, given that -o*t - 25/3 - 1/3*t**2 = 0.
-5
Let y be (-26)/(-65) + 6/(-15). Suppose y = -9*v + 13*v - 12. Factor -3/7*k + 3/7*k**v + 18/7*k**2 - 18/7.
3*(k - 1)*(k + 1)*(k + 6)/7
Let c = 35 + 22. Suppose -c*r - 9 = -60*r. What is w in -8*w - 4*w**r - w**3 + w**4 + 2 + 12*w**2 - 3*w**3 + w**4 = 0?
1
Suppose 5*v + z = 15, 2*z = -2*v + v + 12. Let n = 269894 - 1349464/5. Factor -n*t + 3/5 + 3/5*t**v.
3*(t - 1)**2/5
Determine q so that -3*q**4 + 36*q**3 + 364*q**5 + 82 + 9*q**4 - 367*q**5 - 42*q**2 - 46 - 33*q = 0.
-3, -1, 1, 4
Let q = -38 + 39. Let w be (-8 + 7)*(-21 - q). Find y, given that 10*y - 4*y**5 + 10*y**2 + 12*y**4 - w*y**2 - 2*y - 4*y**3 = 0.
-1, 0, 1, 2
Let u(h) be the first derivative of h**4/28 + 2956*h**3/21 - 845*h**2/2 + 2958*h/7 + 11553. What is a in u(a) = 0?
-2958, 1
Suppose 0 = 125*z + 156*z. Let b(t) be the first derivative of -3/2*t**2 + 1 - 3/4*t**4 + z*t - 2*t**3. Determine m, given that b(m) = 0.
-1, 0
Let v be (3 - 1)*35/10. Suppose 174*z**2 + v*z - 171*z**2 + 8*z + 12 = 0. Calculate z.
-4, -1
Factor 2213550644/5 + 8088492/5*k + 4/5*k**3 + 9852/5*k**2.
4*(k + 821)**3/5
Let h be (-11 + 5)*4/(-3 - 1). Factor 2*d**3 - 3*d**4 - h*d**3 - 6*d**4 + d**3.
-3*d**3*(3*d + 1)
Let t be (-4350)/(-3420) + 1/12*-14 + 0. Factor 6750/19 + t*m**3 + 90/19*m**2 + 1350/19*m.
2*(m + 15)**3/19
Let p(k) = k**5 + k**3 + k**2 + k + 1. Let a(m) = -9*m**5 - 12*m**4 + 69*m**3 + 54*m**2 - 6*m + 6. Let l(x) = a(x) - 6*p(x). Solve l(d) = 0.
-2, -1, 0, 1/5, 2
Let g be (12/8 - 3)/(130/(-1950)). Factor 10 - g*y + 5*y**2.
5*(y - 4)*(2*y - 1)/2
Let o be 26255/28925 - (-28)/(-91). Factor -18*q - o*q**2 - 87/5.
-3*(q + 1)*(q + 29)/5
Let w be (5763/(-119) - -49)*7/2. Suppose -9*s**w + 1/3*s**3 - 243 + 81*s = 0. What is s?
9
Let f(v) be the second derivative of -3*v**4/8 + 103*v**3/6 + 60*v**2 - 12*v - 30. Factor f(b).
-(b - 24)*(9*b + 10)/2
Let y(s) be the second derivative of 66*s + 1/4*s**5 - 25/3*s**3 + 0*s**2 + 5/4*s**4 - 1. Factor y(p).
5*p*(p - 2)*(p + 5)
Let t(q) be the first derivative of q**5/5 - 5*q**4/4 - 14*q**3 - 38*q**2 - 40*q - 1019. Suppose t(o) = 0. What is o?
-2, -1, 10
Let z(g) be the third derivative of g**7/10 + 79*g**6/40 + 3*g**5/4 - 79*g**4/8 - 11*g**3 + 447*g**2. Find q such that z(q) = 0.
-11, -1, -2/7, 1
Factor 1/5*p**5 + 13/5*p**3 + 4/5*p - 6/5*p**4 - 12/5*p**2 + 0.
p*(p - 2)**2*(p - 1)**2/5
Let q be 15/24 + 1 + 30/80. Factor 21*a + 4*a**3 - 64*a - 109*a - 44*a**q - 72*a - 240.
4*(a - 15)*(a + 2)**2
Suppose 3*k - 4*r + 46 = -8*r, 0 = k + 4*r + 50. Factor -1/4 - 1/8*q + 1/8*q**k.
(q - 2)*(q + 1)/8
Let p(w) be the second derivative of -38*w**2 - 17/3*w**3 + 98*w + 0 + 1/6*w**4. Suppose p(y) = 0. Calculate y.
-2, 19
Let -2/7*t**3 + 2166/7 - 10*t**2 - 494/7*t = 0. What is t?
-19, 3
Factor -17858*k**2 + 23*k**4 - 26*k**4 + 16703*k**2 + 186*k**3.
-3*k**2*(k - 55)*(k - 7)
Let k = 823/3 + -4672/17. Let r = k + 151/204. Factor 1/4*i**3 - 2*i**2 + 0 - 3*i + r*i**4.
i*(i - 3)*(i + 2)**2/4
Let g be 10*(-18 + 2604/144). Let f(r) be the third derivative of 0*r + 0*r**3 + g*r**4 + 24*r**2 - 1/12*r**5 + 0. Suppose f(y) = 0. Calculate y.
0, 4
Let y be (-12)/210 - 4386/(-24080). Factor 1/4 + 5/8*b**3 + y*b**4 + 7/8*b + 9/8*b**2.
(b + 1)**3*(b + 2)/8
Factor -6*c**2 + 5275*c + 316 + 1976*c + 2694 + 617.
-3*(c - 1209)*(2*c + 1)
Find z, given that 297*z**2 - 2790*z - 211*z**2 - 89*z**2 = 0.
-930, 0
Let v = 209/69 - 163/69. Determine k so that 0*k**2 + 0 - 4/9*k**3 + v*k**4 + 0*k - 2/9*k**5 = 0.
0, 1, 2
Let h(u) be the first derivative of 3*u**4/4 + 83*u**3 - 4206. Factor h(y).
3*y**2*(y + 83)
Suppose 99*h + 960 = 115*h. Let w be (h/(-54))/((-15)/72). Determine b so that 0*b**2 - w*b + 4*b**3 + 0 - 4/3*b**4 = 0.
-1, 0, 2
Let r(d) = -14*d**2 - 213*d - 2714. Let t(v) = -2*v**2 - v - 2. Let f(q) = r(q) - 5*t(q). Factor f(u).
-4*(u + 26)**2
Let x be 9 + ((-3)/3)/((-53)/(-318)). Determine c, given that c**x + 8/3 - 11/3*c**2 - 2*c = 0.
-1, 2/3, 4
Factor -40/3*a - 1/6*a**2 - 26.
-(a + 2)*(a + 78)/6
Let w(b) = 4*b**2 - 55*b - 304. Let h(k) = 2*k**2 - 27*k - 152. Let z(x) = 5*h(x) - 3*w(x). Determine m so that z(m) = 0.
-4, 19
Let z = -469 + 463. Let p be z/(-14) - (8160/(-315) - -10). Factor p + 1/3*i**2 + 14/3*i.
(i + 7)**2/3
Determine n so that 174/17*n**2 + 16810/17 - 246*n - 2/17*n**3 = 0.
5, 41
Let t(u) be the first derivative of 2*u**3/9 + 808*u**2/3 + 326432*u/3 - 4529. Factor t(d).
2*(d + 404)**2/3
Let x(z) = 34*z - 16*z + 12 - 19*z. Let p be x(3). Factor 2*a**4 - 6*a**2 + p*a**3 + 0*a**2 - 5*a**4.
-3*a**2*(a - 2)*(a - 1)
Factor -176/7*n + 1/7*n**2 + 1020/7.
(n - 170)*(n - 6)/7
Let j(u) = 15*u**2 - 2*u - 1. Let w(v) = -6*v**3 + 1633*v**2 - 117034*v - 39197. Let p(q) = -3*j(q) - w(q). Factor p(l).
2*(l - 140)**2*(3*l + 1)
Factor -3690*z**2 - 1/4*z**5 - 1321/4*z**3 + 41/2*z**4 + 0 - 8100*z.
-z*(z - 45)**2*(z + 4)**2/4
Let i(s) be the second derivative of s**7/420 - s**6/180 - s**5/5 - 10*s**3/3 - 145*s. Let g(n) be the second derivative of i(n). Factor g(r).
2*r*(r - 4)*(r + 3)
Let b(z) be the second derivative of -z**6/10 - 21*z**5/10 - 61*z**4/4 - 42*z**3 - 54*z**2 + 2628*z. Factor b(d).
-3*(d + 1)**2*(d + 6)**2
Let l be 0 + (-3*16/(-1512))/(3/21). Factor l*d**3 + 4/9*d + 0 + 2/3*d**2.
2*d*(d + 1)*(d + 2)/9
Factor 10339220 + 5*z**2 + 144968*z - 69585*z - 61003*z.
5*(z + 1438)**2
Factor 1138/21*g + 2/21*g**2 + 1136/21.
2*(g + 1)*(g + 568)/21
Let o be 4/(16/84) + 3. Determine a so that -103*a + 110 + 8*a**3 - 356*a**2 - 69*a + 90 - o - 16*a**3 = 0.
-44, -1, 1/2
Let v(a) = 19*a + 185. Let t be v(-10). Let g be (390/(-16))/t + 151/1208. Find z, given that -2/9*z**g + 2/3*z**4 + 0*z - 2/3*z**2 + 0 + 2/9*z**3 = 0.
-1, 0, 1, 3
Let k be ((1 - 1)/(0 + 1))/(-2). Suppose 4*o = -c, k = c - 9*o + 5*o. Suppose 4/5*l**3 + 0 + c*l - 6/5*l**5 + 0*l**2 + 2/5*l**4 = 0. Calculate l.
-2/3, 0, 1
Let c = -140 - -142. Factor -45*l**c - 39*l**2 - 9 + 89*l**2 - 6 + 10*l.
5*(l - 1)*(l + 3)
Determine b, given that 1565*b - 28*b**2 - 7*b**2 - 100 - 1760*b = 0.
-5, -4/7
Let z(y) be the first derivative of y**5/15 - y**4/12 - 67*y**3/9 + 193*y**2/6 - 42*y - 3506. Suppose z(o) = 0. Calculate o.
-9, 1, 2, 7
Let c be 77/2 + 3/18*-3. Let s = c + -33. Factor -252*w + s - 6 + 588*w**2 + 12 + 16.
3*(14*w - 3)**2
Determine s so that -20 + 7/6*s + 1/6*s**2 = 0.
-15, 8
Let a = 123663/103015 + -9/20603. Find j such that -a*j**2 - 36/5 - 6*j = 0.
-3, -2
Let t(w) be the second derivative of w**5/100 + 101*w**4/60 - 268*w**3/15 - 318*w**2/5 + 1016*w - 1. Let t(v) = 0. What is v?
-106, -1, 6
Let q(n) be the third derivative of 0*n + 1/240*n**6 + n**3 + 1/15*n**5 + 19/48*n**4 + 0 + 25*n**2. Factor q(s).
(s + 1)*(s + 3)*(s + 4)/2
Suppose -4*z = -10 + 42. Let p be (-20)/(-3) + z/((-144)/(-30)). Factor 0*l**2 + 2/9*l**p + 0*l - 8/9*l**3 + 0 + 0*l**4.
2*l**3*(l - 2)*(l + 2)/9
Suppose 5*k + 12 = -2*n + n, -4*n + 27 = -5*k. Let z be 5/(0 + (-9)/k). Determine l, given that 5/3*l**3 - z*l**2 + 0 + 0*l = 0.
0, 1
Let q(w) be the first derivative of 90*w + 235/2*w**2 - 123 + 25/3*w**3. Factor q(d).
5*(d + 9)*(5*d + 2)
Let y(u) be the third derivative of 11/42*u**7 + 0 + 0*u + 45*u**2 + 13/2*u**5 - 20/3*u**3 + 35/6*u**4 + 53/24*u**6. Let y(h) = 0. What is h?
-2, -1, 2/11
Suppose -149 = 15*z - 359. Suppose -12 + z = u. Factor -2