uppose 2*v = -0 + 16. Let -4*z**2 + 42 - 12*z - v - 18 = 0. What is z?
-4, 1
Let q(s) be the third derivative of -s**6/120 + 37*s**5/60 - 71*s**4/24 + 35*s**3/6 + s**2 - 379. Factor q(z).
-(z - 35)*(z - 1)**2
Let h be -1 + 7 + -6 - -3. Factor -27/2*s**h - 24*s - 63/2*s**2 - 6.
-3*(s + 1)*(3*s + 2)**2/2
Let k(c) be the third derivative of -c**5/54 - c**4/12 + 14*c**3/27 + 45*c**2. Solve k(j) = 0.
-14/5, 1
Let 172*a**2 + 3 + a**3 - 29*a**3 - 12*a**4 + 60*a + 1 - 4 = 0. Calculate a.
-5, -1/3, 0, 3
Let w(q) be the first derivative of -1/6*q**3 - 1/12*q**2 + 1/3*q - 8. Solve w(g) = 0.
-1, 2/3
Let n be 7 + (-30)/18 + (-2)/6. Let k be (-7)/14*1*(-2)/n. Factor -k*y**2 - 4/5 + 4/5*y.
-(y - 2)**2/5
Suppose -10*k**4 - 17*k**4 + 83*k**3 + 5*k**4 - 72*k + 204*k**2 + 50*k**4 + 77*k**3 = 0. What is k?
-3, 0, 2/7
Suppose 0 = 4*x - 10*x. Let i(w) = w + 2. Let c be i(x). Factor -8/13*s**c - 2/13 - 8/13*s.
-2*(2*s + 1)**2/13
Let t(b) be the second derivative of b**5/12 - 20*b**4/9 + 425*b**3/18 - 125*b**2 + 226*b. Factor t(u).
5*(u - 6)*(u - 5)**2/3
Let q(g) be the third derivative of -25*g**8/252 + 4*g**7/21 + 8*g**6/45 - 2*g**5/3 + g**4/2 + 101*g**2. Solve q(d) = 0 for d.
-1, 0, 3/5, 1
Let s(b) = b**3 - 12*b**2 - 27*b - 12. Let d be s(14). Factor -3/2*z**d - 3*z + 6 + 3/4*z**3.
3*(z - 2)**2*(z + 2)/4
Let s(b) be the third derivative of -1/60*b**5 + 0*b - 1/48*b**4 + 1/240*b**6 + 0 - b**2 + 1/6*b**3. Factor s(q).
(q - 2)*(q - 1)*(q + 1)/2
Let w be (-3)/21 - (5 + 1235/(-70)). Let n be 2/(-8) - 42/(-8). Factor -1/2*a**2 - n*a - w.
-(a + 5)**2/2
Suppose 4*b = -8, -8 - 8 = -3*w + 5*b. Let 9*m**w - 2*m**3 - 12*m**2 + 8*m**2 - 3*m**3 = 0. Calculate m.
0, 1
Let u(r) be the first derivative of r**5 + 25*r**4/2 + 145*r**3/3 + 80*r**2 + 60*r - 136. Factor u(o).
5*(o + 1)**2*(o + 2)*(o + 6)
Let s be -1*6*1/6. Let q(d) = -22*d - 20. Let w be q(s). Factor 0*m**w + 0 + 1/4*m**3 - 1/4*m.
m*(m - 1)*(m + 1)/4
Let n(y) = 72*y - 2518. Let v be n(35). Solve 0 + 9*j**4 + 12*j**v + 3/2*j + 39/2*j**3 = 0 for j.
-1, -1/6, 0
Let -9*k + 10 + 8*k + 11*k - k - k**2 = 0. Calculate k.
-1, 10
Let t(v) be the first derivative of -5/12*v**4 - 5/18*v**3 - 1/6*v**5 + 0*v**2 + 0*v - 44. Find u, given that t(u) = 0.
-1, 0
Suppose 4/7*o**5 + 0 - 52/7*o**3 - 152/7*o**2 + 8/7*o**4 - 96/7*o = 0. What is o?
-3, -2, -1, 0, 4
Let m(o) = -2*o - 19. Let c be m(-12). Suppose -c*r - 3 = -18. Factor 21*p**4 - p**r - 8*p**4 - 8*p**4.
p**3*(5*p - 1)
Let s be (-429)/(-231) - (-1)/7. Determine i, given that 1/5 + 3/10*i - 1/2*i**s = 0.
-2/5, 1
Let w be (-36)/162*-20 + 8/(-18). Let l(z) be the second derivative of 0 + 0*z**2 + 0*z**3 + 6*z + 1/48*z**w - 1/168*z**7 + 1/80*z**5 - 1/120*z**6. Factor l(x).
-x**2*(x - 1)*(x + 1)**2/4
Factor -56/5*l - 392/5 - 2/5*l**2.
-2*(l + 14)**2/5
Let b = -2085 - -2087. Let -4*j**b - 4/3*j**3 + 0 - 8/3*j = 0. Calculate j.
-2, -1, 0
Let f = 795 + -795. Let o(z) be the first derivative of -1/2*z**6 - 2*z**3 + f*z - 3*z**4 + 5 - 1/2*z**2 - 2*z**5. Factor o(r).
-r*(r + 1)**3*(3*r + 1)
Let f(z) be the first derivative of z**3/6 - 19*z**2/2 + 44. Factor f(c).
c*(c - 38)/2
Let n be -10*(-1 + (-4)/(-20)). What is f in -28*f - 10*f**3 - 40 + 5*f**4 + 35*f**3 + n*f + 30*f**2 = 0?
-2, 1
Let k be -4*1*52/(-3). Let o be ((-10)/(-25)*5)/((-46)/(-69)). Factor k*x**o + 9 + 64/3*x**4 + 84*x**2 + 45*x.
(x + 1)*(4*x + 3)**3/3
Let m(q) be the first derivative of 5*q**6/16 + 21*q**5/20 + 9*q**4/8 + q**3/4 - 3*q**2/16 - 17. Factor m(g).
3*g*(g + 1)**3*(5*g - 1)/8
Let n(m) be the first derivative of 2*m**3/3 - 42*m**2 + 82*m + 271. Let n(x) = 0. What is x?
1, 41
Let g(u) be the first derivative of 2*u**3/21 - 3*u**2/7 - 20*u/7 - 5. Factor g(d).
2*(d - 5)*(d + 2)/7
Let y(m) be the third derivative of m**7/210 - 53*m**6/720 + 17*m**5/180 + m**4/3 - 6*m**2 + 54*m. Determine u, given that y(u) = 0.
-2/3, 0, 3/2, 8
Let t(j) = 20*j**2 - 64*j - 84. Let c(o) = -11*o - 72. Let i be c(-7). Let u(k) = -4*k**2 + 13*k + 17. Let f(d) = i*t(d) + 24*u(d). Factor f(r).
4*(r - 3)*(r + 1)
Let i(g) = -g**3 + 60*g**2 - 2*g + 26. Let u(h) = -4*h**2 - h - 2. Let b(d) = -4*i(d) - 52*u(d). Determine o so that b(o) = 0.
0, 3, 5
Suppose 9*m - 190 = 4*m. Suppose -26 = 4*s - m. Let s*g + 0 - 6*g**2 - 15/4*g**3 = 0. Calculate g.
-2, 0, 2/5
Let l(t) be the first derivative of -1/9*t**2 + 0*t + 1/18*t**4 + 5 + 0*t**3. What is r in l(r) = 0?
-1, 0, 1
Factor 2/7*h**3 + 9248/7 + 8976/7*h - 270/7*h**2.
2*(h - 68)**2*(h + 1)/7
Determine g, given that -41212 - 8*g + 12*g**4 - 26*g**3 + 41212 + 24*g**2 - 2*g**5 = 0.
0, 1, 2
Let d(j) be the first derivative of 2*j**5/55 + 12*j**4/11 + 26*j**3/3 - 24*j**2/11 - 288*j/11 - 12. Let d(a) = 0. What is a?
-12, -1, 1
Let g(d) be the first derivative of d**4/2 - 10*d**3/3 + 6*d**2 + 121. Determine a, given that g(a) = 0.
0, 2, 3
Let k = 25825 + -129117/5. Factor -4*s**2 - k - 28/5*s.
-4*(s + 1)*(5*s + 2)/5
Let p(c) be the third derivative of c**6/180 - c**4/12 - 11*c**3/6 + 2*c**2. Let v(s) be the first derivative of p(s). Determine f, given that v(f) = 0.
-1, 1
Suppose -3 = 3*l - 22*i + 20*i, -l = -4*i + 21. Factor 0 - 8/5*v + 8/5*v**l - 12/5*v**2.
4*v*(v - 2)*(2*v + 1)/5
Let o be 1 + (-1)/2 + 0. Let f = 6595/2 + -3297. Factor -1/2*v**3 + f*v - 1/2 + o*v**2.
-(v - 1)**2*(v + 1)/2
Suppose 6 = 55*c + 14 - 8. Determine y so that 28/3*y**4 + 8/3*y + 46/3*y**3 + 32/3*y**2 + c + 2*y**5 = 0.
-2, -1, -2/3, 0
Let s(a) be the second derivative of a**10/30240 - a**9/15120 - a**8/3360 + a**4/3 + a. Let j(u) be the third derivative of s(u). Suppose j(k) = 0. What is k?
-1, 0, 2
Let p(b) = b**3 + 4*b**2 - b - 2. Let h be p(-4). Solve -315*k**2 - 2*k + 2*k**3 - h + 317*k**2 + 0 = 0.
-1, 1
Let t be ((-9)/(-27))/((-1)/(-9)). Let i be 3*t*4/12. Factor 8*w**3 + i*w**2 - 14*w + 3*w - w**2 + 7*w - 6*w**4.
-2*w*(w - 1)**2*(3*w + 2)
Suppose 3*y = i + 15, -2*i = 4*y - 3*i - 20. Let q(j) be the second derivative of 0 + 1/8*j**4 + 1/40*j**y + 1/4*j**3 + 1/4*j**2 - 11*j. What is a in q(a) = 0?
-1
Let i = 268 - 158. Factor -4*s**2 + i*s - 224*s + 106*s + 4*s**3.
4*s*(s - 2)*(s + 1)
Let k = -17773 + 88866/5. Let 1/5*d**3 + 4/5*d**2 - 4/5 - k*d = 0. What is d?
-4, -1, 1
Let l(k) = k - 7. Let z be l(7). Suppose -q = -z*q + 4, 5*r + q = 6. Factor 55*x - 16 + 9*x + 16*x**3 - 84*x**r + 20*x**3.
4*(x - 1)*(3*x - 2)**2
Let r = -180 - -194. Let m(p) = 34*p + 24 - 14*p - p**3 - 10*p**4 - 5*p**3. Let d(o) = -2*o**4 - o**3 + 4*o + 5. Let w(v) = r*d(v) - 3*m(v). Factor w(u).
2*(u - 1)*(u + 1)**3
Find i, given that -4/3*i - 2*i**2 + 0 - 2/3*i**3 = 0.
-2, -1, 0
Suppose -c + 11 = 6. Factor g**2 + 3*g**4 + 4*g**5 + 0*g**4 - 5*g**c - 3*g**3.
-g**2*(g - 1)**3
Let a = -2253 - -2255. Suppose -1/4*t**a - 1/4*t + 1/2 = 0. Calculate t.
-2, 1
Suppose 8*p + 16 - 21 = -5. Find r such that 0 + p*r - 6/17*r**4 + 2/17*r**5 + 0*r**3 + 8/17*r**2 = 0.
-1, 0, 2
Let f(j) be the third derivative of 7 - 1/3*j**5 - 2*j**2 + 0*j + 0*j**3 - 1/24*j**6 - 5/8*j**4. Let f(d) = 0. What is d?
-3, -1, 0
Let q = 1283 - 1273. Let b(c) be the second derivative of -1/12*c**4 + 0 + 0*c**2 - 1/3*c**3 + q*c. Factor b(w).
-w*(w + 2)
Suppose -23*v = 55*v - 312. Determine i, given that -1/7*i + 1/7*i**5 + 2/7*i**2 - 2/7*i**v + 0*i**3 + 0 = 0.
-1, 0, 1
Let s(a) be the second derivative of a**5/270 - 5*a**4/108 + 4*a**3/27 - 3*a**2/2 - 16*a. Let z(j) be the first derivative of s(j). Factor z(f).
2*(f - 4)*(f - 1)/9
Let a = 17378/52143 - -1/17381. Factor -a*q**3 - 2/3 + q + 0*q**2.
-(q - 1)**2*(q + 2)/3
Suppose -4*w = 4*p - 24, 1 = 3*p - 5*w + 7. Suppose 3*z = p*d - 6, d - 2*z + 6 = 3*z. Solve 0*o**2 - 3*o**2 + d*o**2 - 5*o + o**3 + 3*o = 0 for o.
-2, 0, 1
Let k(n) = 4*n. Let u(d) = d**2 + 3*d + 2. Let s(q) = -6*k(q) + 4*u(q). Solve s(r) = 0.
1, 2
Let h(q) be the third derivative of 3/8*q**4 + 0*q + 17*q**2 + 0*q**5 - 1/40*q**6 + 0 - q**3. Factor h(j).
-3*(j - 1)**2*(j + 2)
Let u(x) = -13*x**4 + 67*x**3 + 399*x**2 + 421*x - 5. Let k(v) = -7*v**4 + 33*v**3 + 201*v**2 + 211*v - 3. Let h(m) = -5*k(m) + 3*u(m). Factor h(t).
-4*t*(t - 13)*(t + 2)**2
Let b be (404/505)/((-8)/(-30)). Solve 0 - 1/3*y**2 + 0*y + 1/3*y**4 + 0*y**b = 0.
-1, 0, 1
Let p(q) be the first derivative of -3 + 1/20*q**5 + 0*q**3 + 2*q + 0*q**2 - 1/6*q**4. Let a(f) be the first derivative of p(f). Determine b so that a