= 0.
-3, -1, 0, 1
Let f = 1 + 0. Let o = -305 - -307. Determine h so that 1/2*h - 1/2*h**o + f = 0.
-1, 2
Let k be (1/24)/((-5)/(-75)*5). Let f(t) be the third derivative of 0 + 1/6*t**3 + 1/20*t**5 + 0*t + 1/120*t**6 + 3*t**2 + k*t**4. Factor f(o).
(o + 1)**3
Let z(y) be the first derivative of 3*y**4/4 - 2*y**3 - 33*y**2/2 + 36*y - 206. Let z(r) = 0. Calculate r.
-3, 1, 4
Let d(k) be the third derivative of k**10/252000 - k**8/33600 + 11*k**5/30 - 14*k**2. Let s(n) be the third derivative of d(n). Let s(q) = 0. What is q?
-1, 0, 1
Let f be (2/4)/(3/12). Let n be f + (22 - 12/4). Suppose 5*r**3 + r**2 - 2*r**2 - 4*r - 6*r**4 - 13*r**2 - n*r**3 = 0. What is r?
-1, -2/3, 0
Factor -21316/5 - 2/5*d**3 - 11242/5*d - 296/5*d**2.
-2*(d + 2)*(d + 73)**2/5
Let q(f) be the first derivative of -f**5/5 - 49*f**4/16 - f**3 + 645. Factor q(g).
-g**2*(g + 12)*(4*g + 1)/4
Factor 15*r - 47*r**2 - 38*r**2 - 33*r**2 + 3*r**3 + 100*r**2.
3*r*(r - 5)*(r - 1)
Let z(s) be the first derivative of -s**6/6 + 5*s**4/12 + 3*s - 10. Let y(q) be the first derivative of z(q). Determine l, given that y(l) = 0.
-1, 0, 1
Let x(k) = -6*k**3 - 4*k**2 + 22*k - 10. Let c(t) = -t**4 + t**2 + 1. Let v(a) = 4*c(a) - 2*x(a). Factor v(n).
-4*(n - 3)*(n - 1)**2*(n + 2)
Find j, given that 65 + 40*j + 4*j - j**3 + 13*j**2 + 20*j + 43 - 40 = 0.
-2, 17
What is a in 0*a + 2*a**5 + 0*a**3 - 4/7*a**4 + 0*a**2 + 0 = 0?
0, 2/7
Let b(a) = a**2 + 1. Let n(x) = 9*x**2 + 4*x - 75. Let m(z) = -5*b(z) + n(z). Factor m(j).
4*(j - 4)*(j + 5)
Let q(n) = -2*n**3 + 29*n**2 + 15*n - 4. Let d be q(15). Let y be 5*(d - ((-43)/5 - -4)). Factor -2/9*b**5 - 4/9*b**2 + 2/3*b**4 + 2/3*b - 2/9 - 4/9*b**y.
-2*(b - 1)**4*(b + 1)/9
What is b in 13*b - 19*b - b**3 + b**2 + 2*b**3 = 0?
-3, 0, 2
Let c(v) be the second derivative of -v**5/20 - v**4/6 + v**3/2 + 20*v + 2. Factor c(g).
-g*(g - 1)*(g + 3)
Let i(l) be the first derivative of -l**4/16 - 13*l**3/12 - 23*l**2/8 - 11*l/4 + 605. Determine u so that i(u) = 0.
-11, -1
Let g(j) be the third derivative of j**8/70560 + j**7/5880 + j**6/1260 - j**5/20 - 8*j**2. Let s(n) be the third derivative of g(n). What is q in s(q) = 0?
-2, -1
Let a be (-8 + 8)*(6/5 - 3/15). Factor 2/7*u**3 - 4/7*u**4 + 0 + 2/7*u**2 + a*u.
-2*u**2*(u - 1)*(2*u + 1)/7
Suppose 0 = -6*d - 5 + 11. Let h(o) = 4*o**2 - 15*o - 100. Let z(s) = s**2 + s. Let a(y) = d*h(y) - 5*z(y). Factor a(k).
-(k + 10)**2
Factor 2*i**2 - i**2 - 275 + 514 + 850 - 66*i.
(i - 33)**2
Find o such that -64*o - 64*o**2 + 0 + 13/4*o**4 + 1/4*o**5 + 3*o**3 = 0.
-8, -1, 0, 4
Let i be 7 + 6*(-2)/3. Factor -i*y**2 + 4*y**3 - 6*y**3 + y**3.
-y**2*(y + 3)
Let i(j) be the first derivative of -3/4*j**2 + 3/8*j**4 - 11 + 0*j - 3/10*j**5 + 1/2*j**3. Factor i(h).
-3*h*(h - 1)**2*(h + 1)/2
What is x in -1/5*x**2 - 1/5*x + 6/5 = 0?
-3, 2
Let h(b) be the first derivative of -b**7/140 - b**6/90 + b**5/60 + 13*b**3/3 - 24. Let q(w) be the third derivative of h(w). Determine f so that q(f) = 0.
-1, 0, 1/3
Let n(q) be the second derivative of -q**7/21 - 11*q**6/15 - 33*q**5/10 - 37*q**4/6 - 14*q**3/3 + 46*q + 2. Determine i so that n(i) = 0.
-7, -2, -1, 0
Let x = 11977 + -107791/9. Solve x*j**3 + 1/9*j**2 + 0 + 1/9*j**4 + 0*j = 0.
-1, 0
Let b = 1787/6955 - -2/9737. Let k(w) be the first derivative of 0*w + 2 - 1/14*w**6 - 9/28*w**4 - b*w**5 - 1/7*w**3 + 0*w**2. Factor k(l).
-3*l**2*(l + 1)**3/7
Solve -28/5*c**5 + 148/5*c**4 + 176/5*c**2 - 32/5*c + 0 - 264/5*c**3 = 0.
0, 2/7, 1, 2
Let n(z) be the second derivative of z**5/5 + 128*z**4/3 + 506*z**3/3 + 252*z**2 + 652*z. Suppose n(t) = 0. What is t?
-126, -1
Let u = 12 + -35/3. Let b = 171 + -167. Solve s**3 - 2/3*s - u*s**b + 0 - 1/3*s**5 + 1/3*s**2 = 0 for s.
-2, -1, 0, 1
Let -4*b**5 - 11*b + 12*b**3 - 2*b**4 + 40*b**2 + 6*b - 14*b**4 - 27*b = 0. Calculate b.
-4, -2, 0, 1
Let p = -755/8 - -761/8. Factor 0 + 3/4*z**3 - 1/4*z**2 + 1/4*z**5 - p*z**4 + 0*z.
z**2*(z - 1)**3/4
Suppose -14*f = -13*f. Suppose -8*b + f*b = 9*b. What is c in 2/11*c**4 + 0*c**2 + b + 4/11*c**3 + 0*c = 0?
-2, 0
Let z(c) be the first derivative of 2*c**3/33 + 9*c**2/11 + 36*c/11 + 94. Factor z(y).
2*(y + 3)*(y + 6)/11
Determine g so that 2/13*g**3 - 6/13*g**2 + 0*g + 6/13*g**4 - 2/13*g**5 + 0 = 0.
-1, 0, 1, 3
Let g be (9 - 0)/(14/(-4 + 6)). Factor -3/7*b**5 + 0*b + 15/7*b**4 - 3*b**3 + g*b**2 + 0.
-3*b**2*(b - 3)*(b - 1)**2/7
Let z(f) be the third derivative of f**6/60 - 17*f**5/30 + 79*f**4/12 - 21*f**3 - 3*f**2 - 22*f. Factor z(k).
2*(k - 9)*(k - 7)*(k - 1)
Let d(g) = -3*g**2 - 6*g + 4. Let v be d(0). Let l(r) be the third derivative of 3*r**2 + 0*r - 1/28*r**v + 0 - 1/420*r**5 - 3/14*r**3. Factor l(a).
-(a + 3)**2/7
Factor 28/5*c**4 + 16*c**2 + 0 - 72/5*c**3 - 4/5*c**5 - 32/5*c.
-4*c*(c - 2)**3*(c - 1)/5
Factor 28 - 19/3*s + 1/3*s**2.
(s - 12)*(s - 7)/3
Let y = -43 + 43. Let r(x) be the third derivative of 1/120*x**6 + 0*x + y*x**4 + 0*x**3 + 0 + 1/60*x**5 + 2*x**2. Factor r(q).
q**2*(q + 1)
Let s(d) be the third derivative of d**8/504 + 8*d**7/315 + d**6/15 - 250*d**2. Determine b, given that s(b) = 0.
-6, -2, 0
Let q(g) be the second derivative of -1/10*g**5 + 0 + 17*g - 4*g**2 - 5/6*g**4 - 8/3*g**3. What is k in q(k) = 0?
-2, -1
Let h be (-303)/101*(2/9 + (-164)/144). Factor -7/4*n + h - n**2.
-(n - 1)*(4*n + 11)/4
Let s = 22 + -16. Factor 135*f - 135*f - s*f**2 + 3*f**3.
3*f**2*(f - 2)
Let r(g) = -18*g**2 - 18*g + 36. Let l(t) = t**2 + t - 2. Let u(b) = -15*l(b) - r(b). Factor u(d).
3*(d - 1)*(d + 2)
Suppose t - 3*w = 24, -2*t + 2*w + 3*w + 43 = 0. Suppose 4*d + t = 7*d. Factor -3*p + 3*p**3 + 6*p - 6*p + 0*p - 3 + d*p**2.
3*(p - 1)*(p + 1)**2
Let y(w) = -12*w + 12. Let c(l) = -l**2 - 14*l - 12. Let r be c(-13). Let b(o) = o**2 - o. Let i(x) = r*y(x) - 4*b(x). Suppose i(g) = 0. Calculate g.
-3, 1
Let y be (-658)/(-282)*(-12)/(-14). Find q, given that -2/7 + 2/7*q**y - q**3 + q = 0.
-1, 2/7, 1
Let k(b) be the third derivative of -3*b**5/40 - 23*b**4/16 - 7*b**3/2 - 109*b**2. Let k(m) = 0. What is m?
-7, -2/3
Let f = 327 - 324. Let w(o) be the third derivative of 0*o**f + 0 - 5*o**2 - 1/840*o**6 + 1/1470*o**7 + 0*o**5 + 0*o + 0*o**4. Find c, given that w(c) = 0.
0, 1
Let f(p) = -p**3 + 10*p**2 - 30*p + 39. Let y be f(6). Suppose -17/11*j**2 - 2/11*j**y - 16/11 - 40/11*j = 0. Calculate j.
-4, -1/2
Let r(p) be the second derivative of -1/90*p**5 + 0 + 0*p**2 + 0*p**4 + 1/27*p**3 + p. Find d, given that r(d) = 0.
-1, 0, 1
Suppose -4 = 15*x + 71. Let r be 1/(54/(-12) - x). Factor -4/3*j + 0 - 2/3*j**3 - 2*j**r.
-2*j*(j + 1)*(j + 2)/3
Let n be 5 - 17 - -12 - (-5 + 0). Factor -4/9 - 19/3*d**2 - 67/9*d**3 - d**n - 13/3*d**4 - 8/3*d.
-(d + 1)**3*(3*d + 2)**2/9
Solve -3105*g - 1105 + 328*g**3 - 4185 - 240*g**2 - 333*g**3 = 0.
-23, -2
Let h(q) be the first derivative of -q**5/10 + 2*q**4/3 - 4*q**3/3 - 4*q + 6. Let p(f) be the first derivative of h(f). Find n such that p(n) = 0.
0, 2
Let x(r) be the third derivative of r**5/50 - 23*r**4/30 - 32*r**3/15 + 9*r**2 - 18. Let x(k) = 0. Calculate k.
-2/3, 16
Let x = 12798/6025 + -53/25. Let q = x - -3849/1687. Let -q + 32/7*y + 20/7*y**2 = 0. Calculate y.
-2, 2/5
Let w(x) be the first derivative of 4 - 1/5*x**5 + 0*x - 1/2*x**4 + 1/3*x**3 + x**2. Solve w(y) = 0 for y.
-2, -1, 0, 1
Factor -30/7*c + 0 + 58/7*c**2 - 26/7*c**3 - 2/7*c**4.
-2*c*(c - 1)**2*(c + 15)/7
Let h(z) be the third derivative of -z**8/448 - z**7/70 + 3*z**6/80 + z**5/20 - 5*z**4/32 + 94*z**2. Suppose h(d) = 0. What is d?
-5, -1, 0, 1
Let r be 0*(3/(-1) + 8 + -4). Let b(a) be the third derivative of -1/40*a**6 + 0*a + 2*a**2 + 0*a**4 + 0*a**3 + 1/20*a**5 + r. What is t in b(t) = 0?
0, 1
Let p = -71 - -287/4. Let m(f) be the first derivative of -f**3 - 2 - p*f**4 + 3/2*f**2 + 3*f. Determine h, given that m(h) = 0.
-1, 1
Let q(i) be the first derivative of 0*i + 19 - 1/10*i**2 - 2/15*i**3 - 1/20*i**4. Find k such that q(k) = 0.
-1, 0
Let b(i) be the first derivative of -5*i**3/12 - 127*i**2/2 + 51*i - 19. Factor b(x).
-(x + 102)*(5*x - 2)/4
Let h(b) = b**3 - 3*b**2 - 2*b - 6. Let j be h(4). Suppose j*q - 12 = 2*n, 5*q + 6*n - 21 = 2*n. Factor 0 + 1/2*s**4 + 0*s - 1/4*s**q - 1/4*s**3 + 0*s**2.
-s**3*(s - 1)**2/4
Let q(u) be the third derivative of -1/480*u**6 + 0*u - 50*u**2 + 0*u**3 + 1/1344*u**8 + 0*u**4 + 0 + 0*u**5