-2*3/(-12))/(14/(-420)*-10). Factor -3/4*h**2 + 3/4*h + j.
-3*(h - 2)*(h + 1)/4
Let r(m) be the first derivative of m**6/45 - 2*m**5/25 - 11*m**4/15 - 76*m**3/45 - 9*m**2/5 - 14*m/15 - 77. Factor r(h).
2*(h - 7)*(h + 1)**4/15
Suppose 2*l = 4, l = 3*u + 2*l - 11. Let r(s) be the third derivative of 0 - 4*s**2 + 1/72*s**5 + 11/144*s**4 + 0*s + 1/18*s**u. Factor r(v).
(v + 2)*(5*v + 1)/6
Let n(o) be the first derivative of 1/16*o**4 + o**2 - o - 5/12*o**3 - 9. Factor n(k).
(k - 2)**2*(k - 1)/4
Let h = -42 + 42. Suppose -4*d - 3*s = 2*s + 25, -4*s - 20 = h. Find f, given that -3/2*f**2 + 3/2*f + d = 0.
0, 1
Suppose x - 66 = 3*s - 259, 5*s - 331 = -3*x. Let u = s - 324/5. Let 1/5*p**2 - 2/5*p + u = 0. Calculate p.
1
Let r(y) be the third derivative of -y**7/2100 + y**6/450 + 3*y**3/2 + 15*y**2. Let t(b) be the first derivative of r(b). Solve t(p) = 0.
0, 2
Let v(n) = -n**2 + 2*n + 1. Let f(t) = 13*t - 2. Let i(l) = -7*l + 1. Let u(c) = 6*f(c) + 11*i(c). Let r(x) = 4*u(x) + 4*v(x). Let r(s) = 0. Calculate s.
0, 3
Suppose -206 = 4*u + 5*a + 165, -4*u + 4*a - 416 = 0. Let w be 3/9 + u/(-27). Factor 3/4*q**2 - 9/4*q + 3/4*q**w - 3/2 + 9/4*q**3.
3*(q - 1)*(q + 1)**2*(q + 2)/4
Let f(b) be the first derivative of -b**7/42 + 4*b**6/45 - 7*b**5/60 + b**4/18 - 5*b + 7. Let q(j) be the first derivative of f(j). Factor q(v).
-v**2*(v - 1)**2*(3*v - 2)/3
Let c be 4 - 64/12*3. Let x be (6/(-9))/(2/c). Find f such that -f**3 + 14*f**4 - 29*f**x - 5*f**5 - 9*f**3 = 0.
-2, -1, 0
Let f(g) be the third derivative of 0 + 0*g**3 - 1/168*g**4 - 1/490*g**7 + 0*g + 1/140*g**5 + 1/840*g**6 - 9*g**2. Factor f(p).
-p*(p - 1)*(p + 1)*(3*p - 1)/7
Let s(c) = 6*c**2 + 18*c - 32. Let q(j) = 5*j**2 + 19*j - 37. Let w(u) = 4*q(u) - 3*s(u). Factor w(p).
2*(p - 2)*(p + 13)
Let m = -775 + 779. Let p(o) be the second derivative of 2/3*o**2 + 0 + 4*o + 7/9*o**3 - 5/18*o**m - 2/15*o**5. Factor p(f).
-2*(f - 1)*(f + 2)*(4*f + 1)/3
Let o = -9142 + 36569/4. Factor 1/2*a**3 - o*a**2 - 3/4*a + 0.
a*(a + 1)*(2*a - 3)/4
Suppose 4*n + 28*w - 10 = 27*w, -3*n + 11 = -w. Factor 1/2*a**5 - 4*a**2 - a**n + a**4 - 7/2*a - 1.
(a - 2)*(a + 1)**4/2
Suppose 0 = 6*g - 5 - 7. Suppose g = 7*h - 5*h. Factor 1/2*o**4 + 9/2*o**2 - 7/2*o - 5/2*o**3 + h.
(o - 2)*(o - 1)**3/2
Let n(s) = 53*s**2 + 80*s + 19. Let h(g) = 50*g**2 + 80*g + 20. Let a(y) = -4*h(y) + 5*n(y). Factor a(m).
5*(m + 1)*(13*m + 3)
Let s(m) = m**3 - 11*m**2 + 9*m + 10. Suppose 0 = -5*k + 5*u + 70, -4*u = -3*k - 0*u + 46. Let h be s(k). Factor 2 + h*g - 2*g**3 - 7*g**2 + 2*g + 5*g**2.
-2*(g - 1)*(g + 1)**2
Let h(n) be the first derivative of -n**4/26 + 8*n**3/39 - 3*n**2/13 + 204. Suppose h(t) = 0. Calculate t.
0, 1, 3
Factor -64 + 7*p**2 - 16*p - 1/2*p**3.
-(p - 8)**2*(p + 2)/2
Let m(v) = -v + 16. Let d be m(5). Let y = -9 + d. Suppose 3*n**4 + 3*n**2 - 4*n + 7*n**3 - 3*n**2 + n**4 - 3*n**5 - 4*n**y = 0. What is n?
-1, -2/3, 0, 1, 2
Factor -40*p**2 + 125*p**3 - 120*p**3 - 5*p**2.
5*p**2*(p - 9)
Suppose 61 = -15*w + 61. Determine m so that -3/4 + w*m**3 + 3/2*m**2 + 0*m - 3/4*m**4 = 0.
-1, 1
Let n(x) be the third derivative of -1/84*x**4 + 0*x**3 - 2/105*x**5 + 0 - 14*x**2 + 0*x - 1/70*x**6 - 1/1176*x**8 - 4/735*x**7. Let n(i) = 0. Calculate i.
-1, 0
Let q be (125/75)/(2/6). Determine h so that -16*h + 5*h**4 - 3 + 4 - 5 - 7*h**3 - 21*h**2 + 3*h**q = 0.
-1, -2/3, 2
Determine y, given that 2517*y**3 - 30*y**2 - 72 + 84*y - 5028*y**3 + 2514*y**3 = 0.
2, 6
Let w(u) = -15*u**2 + 3*u - 3. Let z be w(1). Let o be ((-5)/z)/(((-5)/(-4))/5). Solve -2 + 2/3*k**2 - o*k = 0.
-1, 3
Let -6/5 - 1/10*n**3 + 3/5*n**2 - 1/2*n = 0. What is n?
-1, 3, 4
Let t(q) be the second derivative of -2*q**6/75 + 2*q**5 - 239*q**4/5 + 920*q**3/3 - 4232*q**2/5 - 75*q - 3. Determine l, given that t(l) = 0.
2, 23
Suppose -4*g - 23 = -3, -q + 5*g = -27. Factor -7*h - 2 + 4 + 6*h**2 - q*h**3 + h**2.
-(h - 2)*(h - 1)*(2*h - 1)
Let x(d) = 13*d**2 + 53*d + 10. Let l(p) = -6*p**2 - 26*p - 4. Let w(s) = -5*l(s) - 2*x(s). Solve w(n) = 0 for n.
-6, 0
Let c(s) = 7*s**5 - 3*s**4 - 7*s**3 + 3*s**2 - 6*s + 6. Let n(u) = 3*u**5 - 5*u**3 + 4*u**3 + 21 - 20 - u - 2*u**5. Let y(a) = c(a) - 6*n(a). Factor y(d).
d**2*(d - 3)*(d - 1)*(d + 1)
Let z(g) be the first derivative of g**6/180 + 2*g**5/15 + 4*g**4/3 + 17*g**3 - 33. Let a(b) be the third derivative of z(b). Solve a(w) = 0.
-4
Let b = 6206 + -55822/9. Factor 88/9*m**2 + 20/9*m**3 + b*m + 0.
4*m*(m + 4)*(5*m + 2)/9
Let h(w) be the second derivative of w**5/300 - w**4/24 + 2*w**3/15 - 11*w**2/2 - 12*w. Let i(m) be the first derivative of h(m). Factor i(y).
(y - 4)*(y - 1)/5
Let n(v) be the first derivative of -6*v + 15/2*v**2 - 6 - 3/4*v**4 - 3*v**3 + 3/5*v**5. What is y in n(y) = 0?
-2, 1
Let l(w) be the first derivative of -9*w**3 - 231*w**2/2 - 204*w - 25. Find n such that l(n) = 0.
-68/9, -1
Let a(z) be the first derivative of 5*z**3/3 + 115*z**2 + 225*z + 554. Determine x, given that a(x) = 0.
-45, -1
Let m(r) be the third derivative of -r**6/480 - 121*r**5/240 - 155*r**4/4 - 150*r**3 - 182*r**2. Factor m(g).
-(g + 1)*(g + 60)**2/4
Let c(h) be the second derivative of h**4/18 - 25*h**3/9 + 42*h**2 + 307*h. Factor c(v).
2*(v - 18)*(v - 7)/3
Let v(q) = q**4 - q**3 - q**2 + q - 1. Let p(k) = 5*k**4 - 5*k**3 - 5*k**2 + 5*k - 4. Let u(b) = p(b) - 4*v(b). Solve u(y) = 0 for y.
-1, 0, 1
Let u(w) be the third derivative of -w**6/40 + 3*w**5/4 - 11*w**4/2 + 2*w**2 - 176. Factor u(m).
-3*m*(m - 11)*(m - 4)
Factor 0 + 0*o - 1/2*o**5 - 2*o**4 + 0*o**2 - 3/2*o**3.
-o**3*(o + 1)*(o + 3)/2
Let p(j) be the third derivative of -j**8/3840 - j**7/630 - j**6/720 + j**4/3 + 9*j**2. Let t(m) be the second derivative of p(m). Factor t(s).
-s*(s + 2)*(7*s + 2)/4
Let i be 11500/(-1587) - -8 - (-2)/(-23). Suppose 2/9*j**5 + 2/9*j**4 + 0 + 4/9*j - 2/9*j**2 - i*j**3 = 0. Calculate j.
-2, -1, 0, 1
Let f(q) be the second derivative of -q**7/14 - q**6/2 - 6*q**5/5 - q**4 + 80*q. Factor f(s).
-3*s**2*(s + 1)*(s + 2)**2
Let s be (6/5)/((-1608)/(-670)). Determine c, given that 0*c + 1/2*c**3 - s*c**2 + 0 = 0.
0, 1
What is d in -37/4*d + 19/4 + 17/4*d**2 + 1/4*d**3 = 0?
-19, 1
Let l(t) be the first derivative of 21/4*t**2 - 9/2*t - 5/2*t**3 + 3/8*t**4 + 8. Factor l(x).
3*(x - 3)*(x - 1)**2/2
Let l(y) = -y**5 - 10*y**4 + 3*y**3 + 8*y**2 + 2. Let j(d) = -d**5 + d**4 + d**3 - d**2 - 1. Let b(u) = -2*j(u) - l(u). Determine z, given that b(z) = 0.
-3, -2/3, 0, 1
Solve 6/5*q**4 + 2*q**3 - 2/5*q**5 - 6/5*q**2 - 8/5*q + 0 = 0.
-1, 0, 1, 4
Let t = 13210/7707 + 2/7707. Factor 8/7*c + t*c**2 - 4/7*c**4 + 0 + 0*c**3.
-4*c*(c - 2)*(c + 1)**2/7
Let n = -2873699/900 - -3193. Let x(r) be the third derivative of -1/225*r**5 - n*r**6 + 2/45*r**3 + 1/180*r**4 + 0*r + 0 + 5*r**2. Let x(y) = 0. What is y?
-2, -1, 1
Let r(m) = 2*m**2 + 17*m - 6. Let o be r(-9). Solve -23*a - 84*a**4 + 108*a**2 + 14*a - 36*a + 136*a**o - 51*a + 16 = 0.
-1, 2/7, 1/3, 2
Let d(n) = n**2 + 26*n + 1. Let m(c) = 9*c. Suppose -4*o = -o - 15. Suppose 3*t = -o*p + 9, t - 1 = -p - 0*t. Let j(x) = p*d(x) - 8*m(x). Factor j(w).
3*(w + 1)**2
Let -7429*x + 4*x**2 + 7565*x + 0*x**2 = 0. Calculate x.
-34, 0
Let t be 1/(-7 - (-4 - 4))*0/1. Determine o, given that 1/2*o + 1/6*o**2 + t = 0.
-3, 0
Let p(d) = -5*d**3 - 7*d**2 + 26*d. Let x(n) = 2*n**3 + 2*n**2 - 9*n. Let s(i) = -3*p(i) - 8*x(i). Suppose s(z) = 0. Calculate z.
0, 2, 3
Let j(h) be the second derivative of 0 - 4/3*h**2 - 15*h - 1/60*h**5 + 1/18*h**4 + 2/9*h**3. Find l such that j(l) = 0.
-2, 2
Let g = 25 - 22. Suppose -g*r = -o - 18 + 2, r = -o. Suppose -1/2*p - 1/2*p**r + 5/4*p**2 - 1/4*p**3 + 0 = 0. What is p?
-2, 0, 1/2, 1
Factor 13*h**2 + 68*h + 9*h**2 + 18*h**2 - 35*h**2 - 18*h - 120.
5*(h - 2)*(h + 12)
Let u(n) be the third derivative of -n**8/2520 - n**7/1260 + n**6/90 + 5*n**3 + 23*n**2. Let j(x) be the first derivative of u(x). Let j(g) = 0. Calculate g.
-3, 0, 2
What is z in 24 - 19*z**2 + 44*z**4 + 46*z**5 - 94*z**5 - 4*z**2 + 54*z**3 - 45*z**2 - 28*z + 22*z**3 = 0?
-1, -3/4, 2/3, 1
Let g(j) be the third derivative of -j**7/735 - 3*j**6/70 + j**5/210 + 3*j**4/14 + 689*j**2. Find d, given that g(d) = 0.
-18, -1, 0, 1
Determine w, given that 8*w**3 + w**2 + w**2 + 12*w**5 + 4*w**3 + 0*w**3 - 22*w**4 - 4*w**3 = 0.
-1/6, 0, 1
Let u = 1340 - 9372/7. Solve u*l*