2*z - 1/2 + 3/2*z**3 + x*z**2 = 0.
-1, 1/3
Let d = 68 + -3263/48. Let t(s) be the third derivative of 0*s**5 + 0*s - 1/240*s**6 + 2*s**2 + 1/840*s**7 + d*s**4 - 1/24*s**3 + 0. What is h in t(h) = 0?
-1, 1
Let o be 73/5 - 10/(-25). Suppose 2 = 2*q - 3*m + 13, -4*q + 3*m - 7 = 0. Factor -o*c**3 + 11*c**q + 10*c**2 - c - 5*c.
-3*c*(c - 1)*(5*c - 2)
Let z(s) be the second derivative of -s**7/2940 - s**6/210 - s**5/35 - 2*s**4/21 + 23*s**3/6 + s. Let u(k) be the second derivative of z(k). Factor u(r).
-2*(r + 2)**3/7
Let f(d) = -d**2 + 6*d + 11. Let x be f(7). Determine o, given that -2*o + 1 + x*o**2 - 5*o**2 - 5*o**3 + 7*o**3 = 0.
-1, 1/2, 1
Let w(c) be the first derivative of -c**3 - 39*c**2 - 507*c + 58. Factor w(k).
-3*(k + 13)**2
Let z be 6/18 + 68/(-240). Let i(j) be the first derivative of z*j**4 + 0*j + 0*j**3 + 5 - 1/10*j**2. Factor i(f).
f*(f - 1)*(f + 1)/5
Let f(x) be the first derivative of x**4/6 + 2*x**3/9 - x**2/3 - 2*x/3 + 221. Factor f(m).
2*(m - 1)*(m + 1)**2/3
Let s(x) be the second derivative of -2*x**6/15 - x**5/5 + 13*x**4/3 + 50*x**3/3 + 24*x**2 - 96*x. Factor s(m).
-4*(m - 4)*(m + 1)**2*(m + 3)
Suppose 0 = -5*z + 540 + 1445. Suppose 4*j**4 + 323*j**2 - 2160*j + 2160 - 100*j**3 + z*j**2 + j**4 = 0. Calculate j.
2, 6
Suppose 0 = -t + 5*t - 8. Solve 2*f**t + 2*f - 238 + 238 = 0 for f.
-1, 0
Let h(d) be the first derivative of -d**8/1680 - d**7/420 + d**6/360 + d**5/60 - 13*d**3/3 + 8. Let l(y) be the third derivative of h(y). Factor l(u).
-u*(u - 1)*(u + 1)*(u + 2)
Let l(p) be the second derivative of 1/18*p**3 - 1/45*p**6 + 0 + 1/42*p**7 + 1/18*p**4 - 1/15*p**5 + 4*p + 0*p**2. Suppose l(i) = 0. Calculate i.
-1, -1/3, 0, 1
Suppose 8*a - 65 = 3*a. Let -15*l - 20*l**2 + 12*l**2 - 20 + a*l**2 = 0. Calculate l.
-1, 4
Determine u so that -12*u - 11 + 12*u**2 + 40*u**3 + 9 + 16*u**3 + 6*u**5 + 30*u**5 - 90*u**4 = 0.
-1/3, -1/6, 1
Let v = 22 + -20. Let -16*y + 0*y**3 - 2*y**3 + 8 + 10*y**v + 0*y**3 = 0. What is y?
1, 2
Suppose i - 138*x - 25 = -142*x, -25 = -3*i - 2*x. Let r(z) be the first derivative of 0*z + 1/9*z**2 + 2/45*z**i - 2/27*z**3 - 1/18*z**4 - 1. Factor r(v).
2*v*(v - 1)**2*(v + 1)/9
Let c(s) be the second derivative of 1/3*s**2 + 0 - 1/18*s**3 + 3*s - 1/36*s**4. Factor c(g).
-(g - 1)*(g + 2)/3
Factor 9 - 15*z + 3*z**2 - 29 + 15 + 17.
3*(z - 4)*(z - 1)
Let s(k) be the third derivative of k**8/1680 - k**7/252 + k**6/360 + k**5/30 + 25*k**4/24 + 20*k**2. Let f(b) be the second derivative of s(b). Factor f(v).
2*(v - 2)*(v - 1)*(2*v + 1)
Let g(v) be the first derivative of -2*v**5/35 - 11*v**4/14 - 62*v**3/21 - 3*v**2 + 180. Factor g(z).
-2*z*(z + 1)*(z + 3)*(z + 7)/7
Let f(s) be the first derivative of -s**3/15 + 3*s**2/5 - 8*s/5 + 182. Determine q so that f(q) = 0.
2, 4
Let b(f) be the second derivative of -1/210*f**6 + 0 + 1/84*f**4 + 1/21*f**3 + 0*f**2 - 1/70*f**5 - 16*f. Suppose b(j) = 0. What is j?
-2, -1, 0, 1
Let q(h) be the first derivative of -h**5/8 - h**4/8 + h**3/6 + 11*h + 11. Let s(i) be the first derivative of q(i). Let s(a) = 0. Calculate a.
-1, 0, 2/5
Suppose 13*j = 6 + 20. Let t = 44 + -29. Let -8 - 154*h**j + t*h - 79*h + 50*h**3 - 148*h**3 = 0. Calculate h.
-1, -2/7
Let g(r) be the second derivative of r**6/420 - r**5/70 + 15*r**2/2 - 19*r. Let m(t) be the first derivative of g(t). Solve m(u) = 0.
0, 3
Let u(f) be the second derivative of f**4/6 + f**3/2 - 33*f - 1. Factor u(k).
k*(2*k + 3)
Suppose -139*d + 160*d = 42. Let o(b) be the second derivative of 7/36*b**3 - 10*b + 0 + 1/36*b**4 + 1/6*b**d - 1/40*b**5. Factor o(k).
-(k - 2)*(k + 1)*(3*k + 1)/6
Factor 1/4*c**4 + 0 + 143/4*c**2 + 25/4*c**3 - 169/4*c.
c*(c - 1)*(c + 13)**2/4
Suppose g**2 - 3*g + 5/3 + 1/3*g**3 = 0. What is g?
-5, 1
Find r, given that 20/9 - 1/9*r**3 - 32/9*r + 13/9*r**2 = 0.
1, 2, 10
Let y(w) = 2*w - 2. Let a be y(3). Let k(c) = c**3 + 55*c**2 + 54*c. Let d be k(-54). Factor -1/3*p**a + 0*p + 2/3*p**2 - 1/3 + d*p**3.
-(p - 1)**2*(p + 1)**2/3
Let f be (-13 + 10)/(6/8) + -4. Let v = f + 59/7. Determine u so that 3/7*u**2 - 3/7 + v*u - 3/7*u**3 = 0.
-1, 1
Suppose 4*l - 10 = -2*c, c - 5*c + 3*l + 9 = 0. Factor -24*y**3 + 44*y**3 - 22*y**c.
-2*y**3
Suppose -2*u + 14 = -5*k, -3*u = -5*k - 0*k - 16. Let m be (-1)/3 + 20/6. Factor 2*f - 4*f**u - f**m + 7*f**3 - 2*f.
2*f**2*(3*f - 2)
Factor -3/4*d**2 - 15/2 - 21/4*d.
-3*(d + 2)*(d + 5)/4
Let m(x) be the second derivative of 2*x**7/7 + 82*x**6/15 + 188*x**5/5 + 128*x**4 + 704*x**3/3 + 224*x**2 + 34*x - 4. Find r, given that m(r) = 0.
-7, -2, -2/3
Suppose 3*z - 95 = -2*z. Suppose 0 = 5*y - 1 - z. Factor -3 + t + y + t + t**2.
(t + 1)**2
Let f(d) be the third derivative of 0 - d**2 + 1/360*d**5 + 1/9*d**3 + 1/36*d**4 + 0*d. What is k in f(k) = 0?
-2
Let g(r) be the second derivative of r**6/80 - 9*r**5/160 - 9*r**4/32 + 23*r**3/16 - 9*r**2/4 + 218*r. Factor g(s).
3*(s - 4)*(s - 1)**2*(s + 3)/8
Let s be 8/12*-1*9/(-8). Let q(u) be the second derivative of 0 + s*u**2 - 3/4*u**3 + 3/8*u**4 - 3*u - 3/40*u**5. Determine j, given that q(j) = 0.
1
Let h(b) = -9*b**2 + 45*b. Let n(t) = t**2 - t - 3. Let a(z) = h(z) + 12*n(z). Factor a(m).
3*(m - 1)*(m + 12)
Factor 4/5*k**2 + 92/5*k + 0.
4*k*(k + 23)/5
Let s(g) = -g**3 - g**2 - 1. Let l(a) = 8*a**3 + 25*a**2 - a - 11. Let w(c) = -3*l(c) - 21*s(c). Factor w(q).
-3*(q - 1)*(q + 1)*(q + 18)
Let q(u) be the third derivative of -u**8/56 - u**7/21 + 311*u**6/720 - 49*u**5/180 + u**4/18 + 5*u**2 + 8*u. Determine l, given that q(l) = 0.
-4, 0, 1/6, 2
Let u(w) = w**2 + w - 1. Let j(g) = g**2 - 17*g + 21. Let n be j(14). Let r(t) = 21*t**3 - 27*t**2 + 22*t - 9. Let d(z) = n*u(z) + 3*r(z). Factor d(l).
3*(l - 1)*(3*l - 1)*(7*l - 2)
Suppose -5*m - 36 = 4*y, -78*m = -81*m - y - 9. Find k such that 2/5 - 2/5*k**2 + m*k = 0.
-1, 1
Let t be 2/(6 + (-332)/56). Let o be 5/(-60)*-3 + t. Find b such that 41/4*b**3 - 81/4*b**5 + 10*b - 1 + 117/4*b**4 - o*b**2 = 0.
-1, 2/9, 1
Let b be (2/18)/(6 - 156/27). Factor 1/5*g**3 + 0 - 1/2*g**2 - 1/5*g + b*g**4.
g*(g - 1)*(g + 1)*(5*g + 2)/10
Let f(p) be the third derivative of -p**6/900 + 23*p**5/150 - 529*p**4/60 + 12167*p**3/45 + 2*p**2 - 1. Factor f(o).
-2*(o - 23)**3/15
Let p(f) = -7*f**2 + 196*f - 9028. Let h(l) = -26*l**2 + 782*l - 36111. Let b(a) = -6*h(a) + 22*p(a). Factor b(t).
2*(t - 95)**2
Suppose 8*s = 10*s - 2. Let z be (s - 28/24)*-3. What is b in -1/4*b + z - 1/4*b**2 = 0?
-2, 1
Let y = -44 + 48. What is v in -2*v**4 + 15*v**3 - 4*v**2 + 5*v**y - 2*v**5 + 1 - 13*v**3 = 0?
-1, -1/2, 1
Solve 13976*s**3 - 5*s**5 + 3*s**5 + 20*s**2 - 8*s**4 - 9 + 8*s - 7 - 13978*s**3 = 0 for s.
-2, 1
Let -642*l**4 + 111*l + 564*l**3 + 162*l**3 - 78 + 0*l**5 + 11*l**5 + 34*l**5 + 216*l**2 - 378*l = 0. Calculate l.
-2/5, -1/3, 1, 13
Suppose -227 = -2*g - 219. Let r(b) be the third derivative of 0 - 2/105*b**5 - 3*b**2 + 0*b + 0*b**3 - 1/84*b**g. Factor r(a).
-2*a*(4*a + 1)/7
Let f be ((-80)/625)/(18/(-45)). Let i(p) be the first derivative of 0*p + 1/5*p**2 - 4/5*p**3 - f*p**5 + 2 + 9/10*p**4. Factor i(l).
-2*l*(l - 1)**2*(4*l - 1)/5
Let p = -4/175 - -1412/525. Factor 0 - 2/3*n**3 - 8/3*n - p*n**2.
-2*n*(n + 2)**2/3
Let o = -1247 - -2028. Let f = -3883/5 + o. What is g in 0*g + 6/5*g**5 + 24/5*g**3 + 0 - f*g**4 - 8/5*g**2 = 0?
0, 2/3, 1, 2
Let n be ((-6)/15)/(2/((-80)/6)). Let l be 2 + 1*(3 + -3). What is z in n*z**l + 2/3*z - 2*z**3 - 4/3 = 0?
-2/3, 1
Let s = -13739/20 - -687. Let y(o) be the third derivative of 1/40*o**6 - 1/70*o**7 + 0*o**3 + 6*o**2 + s*o**5 - 1/112*o**8 + 0*o + 0*o**4 + 0. Solve y(h) = 0.
-1, 0, 1
Let r = 3724 + -3721. Determine k, given that -r*k**4 - 3/2*k**3 + 0*k**2 + 0 + 0*k - 3/2*k**5 = 0.
-1, 0
Let n(x) be the second derivative of x**8/3360 + x**7/140 + 3*x**6/40 + 9*x**5/20 + 11*x**4/6 - 6*x. Let m(y) be the third derivative of n(y). Factor m(i).
2*(i + 3)**3
Let n(l) be the second derivative of 6*l + 0*l**3 + 0 + 1/10*l**5 + 1/12*l**4 + 0*l**2 - 1/10*l**6. Factor n(y).
-y**2*(y - 1)*(3*y + 1)
Let r be ((-2)/(-6))/((-3144)/(-6216)). Let a = r - -1/131. Factor 0 + a*f**4 + 4/3*f**3 + 2/3*f**2 + 0*f.
2*f**2*(f + 1)**2/3
Let -4/7*n**4 + 36/7 - 24/7*n - 32/7*n**2 + 24/7*n**3 = 0. What is n?
-1, 1, 3
Let m = -212 + 215. Let a(v) be the third derivative of -13/15*v**5 - 5*v**2 + 0 - 2/105*v**7 - 8/3*v**m + 2*v*