1/16*z**2. Let s(k) = 0. Calculate k.
-2, -1, 1
Let z(o) be the third derivative of 1/30*o**4 + 0 + 0*o - 3/350*o**7 + 3/100*o**5 - 1/336*o**8 + 0*o**3 - 177*o**2 + 1/600*o**6. Let z(l) = 0. What is l?
-1, -4/5, 0, 1
Let f be (121/(-847))/(1/(-2)). Let w be (8/(-63))/(50/15 - 4). Factor f - w*g - 2/21*g**2.
-2*(g - 1)*(g + 3)/21
Let x(i) be the second derivative of 2 + 0*i**2 - 8/15*i**3 + 1/10*i**5 + 1/75*i**6 + 65*i + 1/15*i**4. Factor x(d).
2*d*(d - 1)*(d + 2)*(d + 4)/5
Let h(c) be the first derivative of -c**7/1260 + 11*c**6/180 + 23*c**5/60 + 35*c**4/36 + 68*c**3/3 + 130. Let s(r) be the third derivative of h(r). Factor s(i).
-2*(i - 35)*(i + 1)**2/3
Let n be (-1 + (11 - 2))/2. Factor b**n + 0 - 2*b**3 + 7*b**4 - 7*b**4 + 2*b - 1.
(b - 1)**3*(b + 1)
Let p(r) be the third derivative of -r**5/20 + 769*r**4/8 - 3*r**2 - 873. Determine l so that p(l) = 0.
0, 769
Let u(z) = 66*z + 405. Let o be u(-6). Find i, given that -188*i**3 - 11*i**5 - 450*i + 41*i**4 + 480*i**2 - o*i**4 + 9*i**5 = 0.
0, 3, 5
Factor -371*a**3 - 13*a**4 - 5 - 16*a - 42*a**2 + 4 + 331*a**3.
-(a + 1)**3*(13*a + 1)
Let l be (-1)/3*(-15)/400. Let n(m) be the third derivative of 0*m - l*m**5 - 14*m**2 - 3/8*m**3 + 0 - 1/8*m**4. Suppose n(o) = 0. Calculate o.
-3, -1
Suppose -644*y = 379*y - 101*y. Factor 12/7*w**4 + 0*w**2 + y + 0*w - 8/7*w**3.
4*w**3*(3*w - 2)/7
Let s(n) be the first derivative of -9/8*n**2 + 0*n - 3/4*n**3 + 1/4*n**4 + 95. Factor s(t).
t*(t - 3)*(4*t + 3)/4
Let x = 1739 - 92179/53. Let k = x + 166/265. Solve k*m + 1/5*m**2 - 3/5 = 0.
-3, 1
Let m(v) = 7*v**4 + 462*v**3 + 461*v**2 - 2*v + 2. Let o(c) = 50*c**4 + 3235*c**3 + 3230*c**2 - 15*c + 15. Let r(i) = -15*m(i) + 2*o(i). Factor r(b).
-5*b**2*(b + 1)*(b + 91)
Let -219/5*t - 18/5 - 201/5*t**2 = 0. What is t?
-1, -6/67
Let g be (162/(-2187) + 26/(-378))*(0 - 3). Let 15/7*n + 0 - g*n**2 = 0. Calculate n.
0, 5
Let s(b) be the second derivative of b**5/100 - 989*b**4/60 + 16269*b**3/2 + 49005*b**2/2 - 96*b - 8. Factor s(o).
(o - 495)**2*(o + 1)/5
Let n = 1716844 - 6867207/4. Let i be ((-8)/6 - 0)*-3. Factor -26*j + i + n*j**2.
(13*j - 4)**2/4
Let t(z) be the second derivative of -z**7/630 - z**6/360 + z**5/180 + z**4/72 + 47*z**2/2 - 56*z. Let x(i) be the first derivative of t(i). Factor x(l).
-l*(l - 1)*(l + 1)**2/3
Let v(p) be the third derivative of p**2 - 49*p + 0*p**3 + 1/30*p**5 + 0 + 3/2*p**4. Factor v(o).
2*o*(o + 18)
Let c = 88 - 80. Factor -2374*y**3 + c*y + 14*y**2 + 2376*y**3 - 4*y**2.
2*y*(y + 1)*(y + 4)
Let m(z) be the first derivative of -z**3/5 - 3*z**2 - 27*z/5 - 506. Suppose m(j) = 0. Calculate j.
-9, -1
Let s be -1 + (1 - 2) + -200 - 0. Let g = -1381/7 - s. Factor -52/7*y**2 + y**4 + 12/7*y + g*y**3 + 0.
y*(y - 1)*(y + 6)*(7*y - 2)/7
Let r(l) be the second derivative of l**7/84 - 4*l**6/15 + 8*l**5/5 - 53*l**4/12 + 79*l**3/12 - 11*l**2/2 - 2*l - 121. Solve r(c) = 0 for c.
1, 2, 11
Suppose -4*d + 2*j + 3*j + 2836 = 0, -3*d + 2*j = -2120. Let q(c) = 16*c + 547. Let n be q(-34). Factor -5*v**4 - 674*v**2 - v**3 - 4*v**n + d*v**2.
-5*v**2*(v - 2)*(v + 3)
Suppose -2*d + 6*d - 24 = 0. Factor -d*u + 2*u**5 - 4*u**3 + 2*u**3 + 16*u**2 - 10*u**3.
2*u*(u - 1)**3*(u + 3)
Let l = -11 + -22. Let u = -29 - l. Factor 16*j**4 + 7*j**4 + u*j**5 + 8*j**3 - 35*j**4.
4*j**3*(j - 2)*(j - 1)
Let o(c) be the second derivative of c**4/2 - 94*c**3/3 + 575*c**2 + 333*c - 2. Suppose o(w) = 0. Calculate w.
25/3, 23
Let i(u) be the second derivative of -13*u**5/210 - u**4/3 - 4*u**3/21 + 26*u**2 + 3*u + 2. Let b(z) be the first derivative of i(z). Factor b(v).
-2*(v + 2)*(13*v + 2)/7
Let n(h) be the first derivative of -9*h**5/10 - 33*h**4/8 + 4*h**3 + 12*h**2 - 2865. Let n(j) = 0. Calculate j.
-4, -1, 0, 4/3
Let q be 16 - 1/(8*10/1120). Find h, given that 24/5 + 42/5*h + 3/5*h**3 + 21/5*h**q = 0.
-4, -2, -1
Let q(u) = -u**3 - 3*u**2 + 3*u - 2. Let c be q(-4). Suppose -4*a - 5*s - 389 = -3373, -3*s + 1490 = c*a. Factor 751 - 3*m**2 - 3*m**3 - 3*m**2 - a.
-3*m**2*(m + 2)
Let i be (2/30)/((-144)/27 + (-1 - -7)). Let t(g) be the third derivative of 0*g**4 + 0*g + 1/40*g**6 + 0*g**3 - 28*g**2 - i*g**5 + 0. Factor t(z).
3*z**2*(z - 2)
Let w be (-127273)/(-2787) + -15*3. Let 22/3 - w*b**2 + 20/3*b = 0. What is b?
-1, 11
Find o such that 111*o - 36*o**4 + 50*o**2 + 55*o**5 - 209*o + 178*o - 125*o**3 - 10*o**5 - 14*o**4 = 0.
-1, -8/9, 0, 1, 2
Suppose 3*q = 35 - 14. Let b(r) = -6*r**2 - 24*r + 144. Let a(v) = 144*v**2 - 50*v**2 - 45*v**2 - 144 - 44*v**2 + 24*v. Let p(z) = q*a(z) + 6*b(z). Factor p(i).
-(i - 12)**2
Suppose 2*s - 2257 = 3*h - 2295, -4*h + 52 = -2*s. Factor 88/5*c - 19/5*c**s - 1/5*c**3 - 92/5.
-(c - 2)**2*(c + 23)/5
Let q(i) be the first derivative of -17/7*i**2 - 2/35*i**5 + 82 - 12/7*i - 1/2*i**4 - 34/21*i**3. Determine u, given that q(u) = 0.
-3, -2, -1
Let r(x) be the first derivative of 1/3*x**5 + 5/2*x**4 - 80/3*x**2 + 0*x + 0*x**3 - 44. Find p such that r(p) = 0.
-4, 0, 2
Suppose 3*z - 2*t - 142 = 0, 4*z - 117*t - 195 = -120*t. Suppose 0 = -z*r + 31*r. Factor r*s - 2/17*s**2 + 0.
-2*s**2/17
Let f(o) be the first derivative of 4*o**5/5 - 11*o**4/10 - 32*o**3/15 + 11*o**2/5 + 12*o/5 + 2689. Determine n, given that f(n) = 0.
-1, -2/5, 1, 3/2
Let 1/7*w**5 - 5/7*w**2 - 15/7*w**3 + 0 + 5/7*w**4 + 2*w = 0. Calculate w.
-7, -1, 0, 1, 2
Let 303/2*q**4 + 450*q - 1491/2*q**2 + 285/2*q**3 + 0 + 3/2*q**5 = 0. Calculate q.
-100, -3, 0, 1
Let u(l) be the first derivative of -l**6/120 + l**5/20 + 11*l**4/48 + l**3/4 - 175*l - 138. Let h(b) be the first derivative of u(b). Factor h(j).
-j*(j - 6)*(j + 1)**2/4
Let v(r) = -10*r**2 - 526*r + 33776. Let u(o) = -2*o**2 - o - 4. Let a(d) = -6*u(d) + v(d). Factor a(i).
2*(i - 130)**2
Let a be 3 + 856/36 - 4/(-18). Find p, given that -1 - 27*p + 21*p**4 - 15*p**2 - 11 + a*p**3 + 6 = 0.
-1, -2/7, 1
Let m(v) be the second derivative of -3/4*v**4 + 1/2*v**3 + 0 + 89*v + 0*v**2 - 3/5*v**5. Factor m(q).
-3*q*(q + 1)*(4*q - 1)
Let f be (-872)/1090*1755/(-208). Factor f*t + 3/4*t**2 - 15/2.
3*(t - 1)*(t + 10)/4
Let l be (285/18 + (-133)/57)/9. Find o, given that -9*o - l*o**2 + 21/2 = 0.
-7, 1
Let f(b) = -b - 28. Let w be f(12). Let p be (175/w + 4)*2*-4. Solve 0*k - 2*k**2 + 8/3 - 2/3*k**p = 0 for k.
-2, 1
Let b(t) be the second derivative of -1/4*t**4 + 1/112*t**7 - 111*t + 0*t**3 - 3/40*t**5 + 0*t**2 + 0 + 1/40*t**6. Determine i so that b(i) = 0.
-2, 0, 2
Let k(q) = 13*q - 50. Let p = -279 + 283. Let n be k(p). Factor 3/2*d**n + 0 + 3/2*d**3 + 0*d.
3*d**2*(d + 1)/2
Let w(v) be the first derivative of 5/12*v**3 + 0*v + 1/20*v**5 - 250 - 25/4*v**2 + 1/2*v**4. Find t, given that w(t) = 0.
-5, 0, 2
Let o(q) be the first derivative of 7/3*q**2 - 8/3*q - 150 - 4/9*q**3 - 1/6*q**4. Find d, given that o(d) = 0.
-4, 1
Suppose 1314*g - 1325*g + 44 = 0. Suppose 3*b - 28 = 17. Factor 15*t**g + 11*t**4 + 10 + 15*t**3 - b*t - 5*t**2 - 31*t**4.
-5*(t - 2)*(t - 1)**2*(t + 1)
Let h(p) be the first derivative of -2*p**3/21 + 65*p**2/7 - 1892*p/7 - 9551. Factor h(w).
-2*(w - 43)*(w - 22)/7
Let t = -64106 + 325761/5. Let n = t + -1043. Factor 12/5*z - 2/5*z**2 - n.
-2*(z - 4)*(z - 2)/5
Let j(s) be the first derivative of -108/7*s + 17/7*s**4 + 24/7*s**3 + 1/21*s**6 + 4/7*s**5 - 27/7*s**2 + 73. Solve j(z) = 0.
-3, -2, 1
Let a be (6/(-14) - (273 + -275))*88. Let -4*b**3 - 608/7*b**2 - 3212/7*b + a = 0. What is b?
-11, 2/7
Let k(l) be the third derivative of -2 + 67*l**2 + 5/2*l**4 + 0*l - 1/20*l**5 + 21/2*l**3. What is j in k(j) = 0?
-1, 21
Let d(s) = -s**2 + 34*s + 8. Let c be d(34). Find w such that w**5 - 16*w**3 - 3*w**5 - 10*w**3 - 4*w + 40*w**3 - c*w**3 + 2*w**4 - 2*w**2 = 0.
-1, 0, 1, 2
Let g = -154 + 140. Let d(b) = 32*b**3 + 62*b**2 + 38*b + 14. Let w(n) = 11*n**3 + 21*n**2 + 13*n + 5. Let z(j) = g*w(j) + 5*d(j). Find y, given that z(y) = 0.
-2, -2/3, 0
Let z(l) be the second derivative of -l**7/420 - l**6/180 + 7*l**5/240 - l**4/24 - 13*l**3/2 - 10*l - 2. Let v(p) be the second derivative of z(p). Factor v(u).
-(u + 2)*(2*u - 1)**2/2
Let f be -3 + (-6)/(18/(-39)). Suppose f*w - 419 - 1081 = 0. Let 95*i**4 + 75*i**4 + 12*i**2 - w*i**4 + 4*i**5 + 28*i**3 = 0. What is i?
-3, -1, 0
Let k be 52/234*(-1182)/44 + 6. Let z(s) be the first derivative of 9/11*s + k*s**3 + 4 - 3/11*s**2. Factor z(p).
(p -