 n(r) = -r**3 - r. Let z(d) = -4*d**3 - 3*d**2 - 2*d - 3. Let m(o) = -o - 1. Let t(v) = -3*m(v) + z(v). Let y(h) = -3*n(h) + t(h). Factor y(q).
-q*(q - 1)*(q + 4)
Suppose 0 = 5*u - 8*u + 6. Let j(i) = -4*i - 6. Let c be j(-5). Suppose c + 3*m**3 - 14 + 9*m - 15*m**u + 27 = 0. What is m?
-1, 3
Let d(l) be the third derivative of l**8/112 - l**7/28 - 3*l**6/80 + 19*l**5/40 - 19*l**4/16 + 3*l**3/2 + 311*l**2. What is x in d(x) = 0?
-2, 1, 3/2
Let c(d) be the first derivative of -9/8*d**4 + 3*d**2 - 34 + 0*d**3 + 3/10*d**5 + 0*d. Factor c(t).
3*t*(t - 2)**2*(t + 1)/2
Let q(m) = 3*m**4 + 10*m**3 - 28*m**2 + 20*m - 7. Let g(i) = 8*i**4 + 20*i**3 - 58*i**2 + 39*i - 14. Let s(u) = -6*g(u) + 15*q(u). Factor s(y).
-3*(y - 7)*(y - 1)**3
Let r(d) be the third derivative of 0*d + 45*d**2 + 0 + 2/21*d**3 - 1/42*d**5 - 1/28*d**4 - 1/588*d**8 + 1/245*d**7 + 1/84*d**6. Find z, given that r(z) = 0.
-1, 1/2, 1, 2
Let r = 888 - 517. Determine f, given that -6*f + 2*f + 379*f**2 - r*f**2 = 0.
0, 1/2
Let p = 391/48 - 4891/624. Let -2/13*w**4 + p*w + 0 - 4/13*w**3 + 2/13*w**2 = 0. Calculate w.
-2, -1, 0, 1
Let d(t) be the first derivative of 4*t**3/3 - 8*t**2 + 12*t - 172. Find a, given that d(a) = 0.
1, 3
Let c(d) be the second derivative of -d**4/4 - 21*d**3/2 - 147*d**2 - 169*d. Determine y so that c(y) = 0.
-14, -7
Let q(u) be the second derivative of u**5/12 + 25*u**4/36 + 10*u**3/9 - 30*u + 1. What is p in q(p) = 0?
-4, -1, 0
Let n(b) = -5*b**2 + 18*b + 5. Let o(s) = -55*s**2 + 195*s + 55. Let a(y) = -65*n(y) + 6*o(y). Factor a(p).
-5*(p - 1)*(p + 1)
Suppose 378*h - 3 = 377*h. Let w(x) be the first derivative of 9 + 1/10*x**4 - 2/5*x**2 + 2/15*x**h + 0*x. Factor w(f).
2*f*(f - 1)*(f + 2)/5
Let m = -2200 + 6655/3. Let r = m - 1021/57. Factor 0*s - r + 250/19*s**3 + 150/19*s**2.
2*(5*s - 1)*(5*s + 2)**2/19
Let r be 97/(-970)*1/((-2)/32). Factor 4/5*k**2 + 0 + r*k.
4*k*(k + 2)/5
Factor 625/9*j**2 + 64/9 - 400/9*j.
(25*j - 8)**2/9
Let h(l) be the first derivative of -3*l**4/8 - 10*l**3 + 69*l**2/4 + 63*l - 246. Suppose h(m) = 0. What is m?
-21, -1, 2
What is f in -595508 + 4*f**3 - 6*f**3 + 33708*f + 0*f**3 + 6*f**3 - 636*f**2 = 0?
53
Let f be -2 - ((-12)/2 - -2). Suppose -f*k - 3 + 4 = -z, 0 = -3*z - 5*k + 19. Factor -4 + 0*i**3 + 0*i**3 + 6*i - 2*i**z.
-2*(i - 1)**2*(i + 2)
Let u(v) be the third derivative of -10*v**2 + 1/2*v**4 + 0*v + 0*v**3 - 1/30*v**6 + 2/15*v**5 + 0. Factor u(i).
-4*i*(i - 3)*(i + 1)
Let z(t) be the second derivative of t**7/42 - t**6/15 + t**5/20 - 413*t. Find l such that z(l) = 0.
0, 1
Factor -5*h + 20*h**2 + 22*h**2 + 7*h**3 - 2*h**3 - 7*h**2 - 35.
5*(h - 1)*(h + 1)*(h + 7)
Factor 4*s**2 + 20*s**4 - 4*s + 4*s**3 - 76*s**4 + 29*s**4 + 23*s**4.
-4*s*(s - 1)**2*(s + 1)
Determine l so that 3*l**4 + 174*l**2 - 14*l - 3*l**5 - 75*l**3 - 216 - 125*l**3 + 39*l**4 + 23*l**3 + 194*l = 0.
-1, 1, 2, 6
Let a(m) be the second derivative of 3*m**5/5 + 6*m**4 + 45*m**3/2 + 75*m**2/2 + 9*m. Factor a(v).
3*(v + 1)*(2*v + 5)**2
Let r be (-45)/(-75)*(6 - 1). Let i(n) be the second derivative of -2/5*n**5 + 8/3*n**r + n**4 - 2/15*n**6 - 5*n + 0 - 8*n**2. Factor i(o).
-4*(o - 1)**2*(o + 2)**2
Suppose -2*y = -4*y + 4. Factor -10*w**2 - 5 + 5 + y*w**3 - 7*w**3.
-5*w**2*(w + 2)
Let b = -48 + 50. Suppose -5*w**b + 2*w**3 + 0*w - 5*w**4 + 0*w - 12*w**3 = 0. Calculate w.
-1, 0
Let -1/3*z**2 + 0 - 116/3*z = 0. Calculate z.
-116, 0
Let p(d) be the second derivative of -1/50*d**5 + 0 + 1/75*d**6 + 52/15*d**3 - 39*d - 8*d**2 - 3/5*d**4. Suppose p(c) = 0. What is c?
-5, 2
Let k(g) be the third derivative of 1/30*g**5 + 0*g**3 - 1/3*g**4 - 12*g**2 + 0 + 0*g. Factor k(l).
2*l*(l - 4)
Let r(z) = -2537*z**3 + 2182*z**2 + 343*z + 12. Let o(a) = 845*a**3 - 727*a**2 - 114*a - 4. Let c(w) = -7*o(w) - 2*r(w). Factor c(b).
-(b - 1)*(29*b + 2)**2
Let n = 896 - 892. Let b(u) be the first derivative of 2/3*u**3 + 1/5*u**5 + 0*u + 0*u**2 + 3 - 3/4*u**n. Factor b(c).
c**2*(c - 2)*(c - 1)
Let v(a) = 18*a**3 - 24*a**2 - 32*a - 30. Let u(g) = -2*g**3 + g**2 + g + 2. Let b(c) = -20*u(c) - 2*v(c). Suppose b(s) = 0. Calculate s.
-5, -1
Let t(k) = -3*k + 0*k - 16*k**2 - 4*k**4 + 2*k**2 + 7*k**2 - 8*k**3 - 3. Let w(f) = 3*f**4 + 7*f**3 + 7*f**2 + 3*f + 2. Let j(z) = 4*t(z) + 6*w(z). Factor j(p).
2*p*(p + 1)**2*(p + 3)
Factor -9/8 - 3/4*t + t**2 + 3/4*t**3 + 1/8*t**4.
(t - 1)*(t + 1)*(t + 3)**2/8
Let y = -158/21 + 1327/168. Let x(b) be the second derivative of -b + 0 - y*b**4 - 1/4*b**3 - 9/40*b**5 - 1/20*b**6 + 0*b**2. Determine r so that x(r) = 0.
-1, 0
Determine m so that -73 - 13*m**2 + 56*m + 13 + 12*m**2 + 3*m**3 + 50*m**2 = 0.
-15, -2, 2/3
Let p(j) = -16*j**2 + 25*j - 2. Let c be (-1)/(-2) - 9/(-6). Let a(h) = 1 + 5*h**2 - 9*h + 19*h - 5*h - 13*h. Let o(y) = c*p(y) + 7*a(y). Factor o(k).
3*(k - 1)**2
Let j = 11/8 + -7/8. Let w(k) be the first derivative of 0*k**3 + 1/5*k**5 + 0*k**2 + 5 + 0*k - j*k**4. Suppose w(a) = 0. What is a?
0, 2
Let o(c) = 44*c + 2203. Let u be o(-50). Solve 5/4*w**5 - 5/2 - 5*w**u + 5/2*w**2 + 0*w**4 + 15/4*w = 0 for w.
-2, -1, 1
Let b(y) = -8*y + 3. Let j(h) = 7*h - 2. Let s(v) = -4*b(v) - 5*j(v). Let k be s(-2). Determine d so that 2*d + 2*d**k + 2/5*d**5 + 4*d**3 + 4*d**2 + 2/5 = 0.
-1
Find q, given that 40/13*q + 2/13*q**2 + 0 = 0.
-20, 0
Let w = 43 - 41. Let -w*x - 55 - 4*x**2 + 55 - 2*x**3 = 0. What is x?
-1, 0
Let p(t) be the second derivative of -t**6/5 - 3*t**5/20 + 11*t**4/4 - 11*t**3/2 + 9*t**2/2 + 55*t. What is j in p(j) = 0?
-3, 1/2, 1
Let b(c) be the third derivative of -c**7/105 + 3*c**6/20 - 7*c**2. Factor b(s).
-2*s**3*(s - 9)
Let x(q) be the second derivative of -q**7/126 - q**6/45 + q**5/15 + q**4/18 - q**3/6 + 3*q + 39. Find l, given that x(l) = 0.
-3, -1, 0, 1
Let n = 62/3 + -61/3. Let b(w) be the second derivative of 1/45*w**6 - 1/9*w**4 + 0*w**3 + 3*w + 0 + n*w**2 + 0*w**5. Find t such that b(t) = 0.
-1, 1
Let i(b) be the third derivative of b**8/448 - b**7/280 - 3*b**6/160 + b**5/80 + b**4/16 + 252*b**2. Solve i(z) = 0 for z.
-1, 0, 1, 2
Factor 21*a**5 + 78*a**3 - 2 - 36*a**3 - 24*a**3 + 69*a**4 + 2.
3*a**3*(a + 3)*(7*a + 2)
Let v = -6158/9 + 688. Factor -v*l**4 - 10/9*l**5 - 22/9*l**2 + 0 - 4/9*l - 14/3*l**3.
-2*l*(l + 1)**3*(5*l + 2)/9
Let n be ((-10)/(-6) - 178/(-267)) + 3. Determine x so that 2/9*x**2 + n*x + 32 = 0.
-12
Let l(p) = -2*p**2 + 2*p + 4. Suppose -3*s + 5*s = 2*i - 24, -3*i - 6 = 3*s. Let y(t) = 3*t**2 - 5*t**2 + 4*t + 5 - t. Let a(o) = s*l(o) + 6*y(o). Factor a(b).
2*(b + 1)**2
Let i(a) = 39*a**3 + 69*a**2 - 18*a + 8. Let t(w) = w**4 + w**3 - 2*w**2 - 2. Let h(x) = i(x) + 4*t(x). Factor h(d).
d*(d + 2)*(d + 9)*(4*d - 1)
Suppose 23*p = -0*p + 115. Let j(v) be the first derivative of 0*v - 1/5*v**2 - 2 - 1/15*v**3 + 1/10*v**4 + 1/25*v**p. Factor j(o).
o*(o - 1)*(o + 1)*(o + 2)/5
Factor 231*n**2 + 884*n - 5306*n - 4827*n + 9*n**2 - 2*n**3 + 2049*n.
-2*n*(n - 60)**2
Let j(y) be the second derivative of -3*y**5/100 - 717*y**4/20 - 171363*y**3/10 - 40955757*y**2/10 + 356*y. Find k, given that j(k) = 0.
-239
Let k = 131 + -131. Let g(w) be the third derivative of -1/33*w**4 + 1/330*w**5 + 1/11*w**3 - 3*w**2 + 0*w + k. Solve g(s) = 0 for s.
1, 3
Let u = -1761014/7 - -250156. Let y = u + 1420. What is w in -y - 12/7*w - 2/7*w**2 = 0?
-3
Let a(y) = -2*y**5 + 4*y**4 + 6*y**3 - 6*y**2 - 6*y + 6. Let q(p) = p**5 + 3*p + 4*p**2 - 1 + 3*p - 3*p**2 - 5*p - p**3. Let c(d) = a(d) + 6*q(d). Factor c(h).
4*h**4*(h + 1)
Suppose -24 + 9*y**3 - 3/2*y**4 - 3/2*y**2 - 36*y = 0. What is y?
-1, 4
Let p(f) be the first derivative of f**4/18 + 2*f**3/3 + 26*f - 25. Let z(s) be the first derivative of p(s). Solve z(y) = 0 for y.
-6, 0
Suppose -5*g + 4*t = -1432, 4*t + 349 - 69 = g. Factor -g*w**2 + 4*w**3 + 1 - 1 + 284*w**2.
4*w**2*(w - 1)
Let y(s) be the second derivative of -21*s**5/20 + 701*s**4/12 - 130*s**3/3 - 66*s**2 + 81*s. Let y(o) = 0. Calculate o.
-2/7, 2/3, 33
Let z be (-11)/22*(-1)/((-3)/(-12)). Factor -23*s - 3*s**z - 2*s**2 + 0*s**2 - 2*s.
-5*s*(s + 5)
Let q(d) be the first derivative of -d**5/36 - 25*d**4/36 - 125*d**3/18 + 9*d**2/2 - 10. Let f(r) be the second derivative of q(r). Factor f(c).
-5*(c + 5)**2/3
Let o(g) be the third derivative of g**6/1320 - g**5/66 + 17*g**4/264 - 4*g**3/33 - 510*g**2. Factor o(y).
(y - 8)*(y - 1)*