st derivative of p(q). Solve v(g) = 0 for g.
-1, 0, 1
Suppose -2*r - 3 = 7. Let q be (-72)/(-105) + 2/r. Factor q*n**3 + 2/7 - 2/7*n**2 - 2/7*n.
2*(n - 1)**2*(n + 1)/7
Suppose 8 + 2 = 2*z. Let r(c) = c**3 + 8*c**2 + 6*c - 3. Let i be r(-7). Factor 4 - 1 - 7*t**4 - z + 4*t**3 - i*t + 9*t**4.
2*(t - 1)*(t + 1)**3
Let r(y) be the first derivative of -64/9*y**3 - 2/45*y**5 + 256/9*y**2 - 512/9*y + 4 + 8/9*y**4. Factor r(z).
-2*(z - 4)**4/9
Let q(m) = -m**3 + 10*m**2 - 8*m - 9. Let o be q(9). Determine j, given that -1/2*j**2 - 1/4*j + o + 1/4*j**5 + 0*j**3 + 1/2*j**4 = 0.
-1, 0, 1
Factor 0 - 9/2*r**2 + 6*r - 3/2*r**3.
-3*r*(r - 1)*(r + 4)/2
Let r = 8 + -5. Find w, given that -3 - 18*w**2 - 27/2*w - 6*w**r = 0.
-2, -1/2
Let i(k) be the third derivative of k**5/60 - k**4/8 - 5*k**3/3 - 7*k**2 - k. Factor i(d).
(d - 5)*(d + 2)
Let b(r) = r**2 + 4*r - 5. Let z = 4 + -3. Let w(d) = 2*d**2 + d**2 - 4*d**2 + z. Let q(h) = -b(h) - 3*w(h). Let q(p) = 0. Calculate p.
1
Factor -2/9*m + 2/9*m**4 - 2/9*m**2 + 0 + 2/9*m**3.
2*m*(m - 1)*(m + 1)**2/9
Let b(d) = d**3 - 2*d**2 - 2*d + 1. Let u be b(3). Factor -2*r**5 - 8*r**5 + 5*r - u*r**2 - 18*r**3 - 5*r - 24*r**4.
-2*r**2*(r + 1)**2*(5*r + 2)
Suppose 24*n - 40*n = -32. Factor 0*a + 8/5*a**5 - n*a**4 + 0 + 0*a**2 + 2/5*a**3.
2*a**3*(a - 1)*(4*a - 1)/5
Let f(c) be the third derivative of -c**8/40320 + c**7/3780 - c**6/864 + c**5/360 + c**4/24 + c**2. Let l(w) be the second derivative of f(w). Factor l(j).
-(j - 2)*(j - 1)**2/6
Let y(m) be the second derivative of 0*m**3 + 0*m**4 + 9*m - 5/14*m**7 + 13/30*m**6 + 0*m**2 + 0 + 1/10*m**5. Find t, given that y(t) = 0.
-2/15, 0, 1
Let a = -2741/13 + 211. Let o(q) = 2*q - 2. Let n be o(3). Let 2/13*y - a*y**3 + 0 + 2/13*y**2 - 2/13*y**n = 0. What is y?
-1, 0, 1
Suppose 0 = 5*y + 2*q - 16, -3*y - q - 2*q + 15 = 0. Let b(v) be the first derivative of 0*v + y + 2/3*v**3 + 0*v**2. Factor b(l).
2*l**2
Let f(p) be the second derivative of 0 - 1/10*p**4 + 8*p + 1/75*p**6 - 2/15*p**3 + 0*p**5 + 0*p**2. Factor f(j).
2*j*(j - 2)*(j + 1)**2/5
Let l(w) = -4*w - 2 - 2 + 2 + 0. Let k be l(-3). Factor -8*m**4 + 2*m**2 + 2*m**5 + 8*m**3 - m**2 + 4 - k*m + 3*m**2.
2*(m - 2)*(m - 1)**3*(m + 1)
Let w be (12/(-70))/((-111)/259). Factor 2/5 - w*t - 2/5*t**2 + 2/5*t**3.
2*(t - 1)**2*(t + 1)/5
Let p = 4 - -4. Let -4*f**2 - 6*f - f**2 + p*f**2 = 0. Calculate f.
0, 2
Let t(x) = -x**3 + 3*x**2 + 5*x - 3. Let a be t(4). Suppose -6 = -5*i - a. Factor -i - 1/4*c**4 + 3/2*c**3 + 3*c - 13/4*c**2.
-(c - 2)**2*(c - 1)**2/4
Let v(f) be the third derivative of -f**5/60 - f**4/40 + f**3/15 - 6*f**2. What is p in v(p) = 0?
-1, 2/5
Let f(m) = -13*m**2 - 27*m - 19. Let p(w) = 6*w**2 + 14*w + 10. Let r(i) = 2*f(i) + 5*p(i). Factor r(y).
4*(y + 1)*(y + 3)
Let u(f) be the first derivative of -3*f**4/16 + f**3/4 + 15*f**2/8 + 9*f/4 + 21. Factor u(j).
-3*(j - 3)*(j + 1)**2/4
Let z(f) = -f**2 + 3*f. Let w be z(3). Factor 1/2*j - 1/2*j**2 + w.
-j*(j - 1)/2
Suppose -2*s = -0*c - 5*c - 12, -13 = -3*s + 5*c. Let t be (-11)/22*-4*s. Factor -1/3 - 2/3*b + 2/3*b**3 + 1/3*b**4 + 0*b**t.
(b - 1)*(b + 1)**3/3
Let z(s) be the first derivative of s**6/8 - s**5/2 + 5*s**4/8 - 5*s**2/8 + s/2 + 37. Suppose z(w) = 0. Calculate w.
-2/3, 1
Let z(d) be the second derivative of -4*d + 0 + 1/66*d**4 - 2/33*d**3 + 0*d**2 + 1/110*d**5. Find f such that z(f) = 0.
-2, 0, 1
Let n = 691/2 - 7597/22. Factor 0 - 4/11*i**2 + n*i + 2/11*i**3.
2*i*(i - 1)**2/11
Suppose b + 0*b + 1 = 0. Let r be (-1 + b - -3) + 1. Determine c, given that -1 - 2*c**3 - 2*c - 4*c**r + 1 = 0.
-1, 0
Let w(c) be the first derivative of c**4 + 8*c**3/3 + 2*c**2 - 2. Solve w(s) = 0.
-1, 0
Let w(c) be the third derivative of -c**7/280 - c**6/80 + 7*c**5/80 - c**4/8 + 3*c**2. Determine s so that w(s) = 0.
-4, 0, 1
Let o(k) = -k**2 - k. Let b(x) = 8*x**2 + 10*x. Let v(i) = b(i) + 10*o(i). What is d in v(d) = 0?
0
Let k = -10/3 - -11/3. Let b = -604/3 - -202. Factor -k*z**2 + 0 + b*z.
-z*(z - 2)/3
Suppose 5*u = -u. Let v(q) be the first derivative of 0*q**2 - 1/9*q**3 + u*q + 2 - 1/12*q**4. Factor v(w).
-w**2*(w + 1)/3
Suppose 3*j + 9*j**2 - j**4 - 3*j**3 + 0*j**3 - 4*j**4 - 4*j**4 = 0. What is j?
-1, -1/3, 0, 1
Let q(b) be the second derivative of -b**9/30240 + b**4/6 - 2*b. Let d(j) be the third derivative of q(j). Suppose d(f) = 0. What is f?
0
Let h(q) be the second derivative of -98*q**6/15 + 266*q**5/5 - 277*q**4/3 - 152*q**3 - 72*q**2 + 11*q. Suppose h(b) = 0. Calculate b.
-2/7, 3
Let g(z) be the first derivative of z**9/7560 - z**7/2100 - 3*z**3 - 5. Let i(u) be the third derivative of g(u). Solve i(h) = 0 for h.
-1, 0, 1
Let m(o) be the third derivative of -o**5/300 - o**4/60 - 12*o**2. Factor m(p).
-p*(p + 2)/5
Let j = -111 + 556/5. Factor 1/5*f**2 - j*f + 0.
f*(f - 1)/5
Suppose 8*x = -2*x + 20. Let l(u) be the first derivative of 3/2*u**4 + 1 - 3*u**x + 3/5*u**5 - 3*u + 0*u**3. Let l(z) = 0. What is z?
-1, 1
Let b be (-3)/(2/3 - (-26)/(-12)). Let p be (-8)/(-9) + 6/(-27). Factor -1/3 - 1/3*a**b - p*a.
-(a + 1)**2/3
Let l = -158/3 - -54. Suppose 0 = 45*u + 16 - 16. Suppose 0*s + u + 2/3*s**2 + l*s**3 + 2/3*s**4 = 0. What is s?
-1, 0
Let f = 73 - 68. Let b(u) be the third derivative of 0*u**3 + 2*u**2 - 5/1176*u**8 + 1/105*u**7 + 0 + 0*u + 0*u**4 - 1/210*u**6 + 0*u**f. Factor b(g).
-2*g**3*(g - 1)*(5*g - 2)/7
Suppose -x + 12 = x - 4*i, -2*i - 8 = 0. Let j be 0/(x + (-2 - -2)). Factor j*h**2 - 2*h + 7*h**2 - 2*h**3 - 3*h**2.
-2*h*(h - 1)**2
Let p(n) = -6*n**2 - 34*n + 56. Let z(b) = 2*b**2 + 11*b - 19. Let v(c) = -3*p(c) - 8*z(c). Find k, given that v(k) = 0.
-8, 1
Let w be 2 - (58/10 + -4). Suppose -2/5*c - w*c**5 + 3/5*c**3 + 1/5*c**4 - 1/5*c**2 + 0 = 0. What is c?
-1, 0, 1, 2
Let w(y) be the third derivative of y**8/168 - 2*y**7/105 - y**6/60 + y**5/15 - 6*y**2 - 1. Determine b so that w(b) = 0.
-1, 0, 1, 2
Suppose 0*a = -4*a + 16, 3*v = -3*a + 18. Find n such that -n**3 + n**3 + v*n - n**3 + n**2 + 0*n = 0.
-1, 0, 2
Let 1/9*f**5 - 7/9*f**4 - 1/3 - 22/9*f**2 + 13/9*f + 2*f**3 = 0. What is f?
1, 3
Let t(x) be the first derivative of 4*x**5/35 - x**4/7 - 4*x**3/21 + 2*x**2/7 - 14. Factor t(i).
4*i*(i - 1)**2*(i + 1)/7
Let c(g) be the first derivative of -4*g**5/5 + 8*g**4 - 32*g**3 + 64*g**2 - 64*g - 16. Determine w so that c(w) = 0.
2
Factor 37 - 3*w**2 + 4*w**2 + 11 + 2*w**2 - 24*w.
3*(w - 4)**2
Suppose -9*b**2 - 68 + 11*b**2 + 196 - 32*b = 0. Calculate b.
8
Let z(n) be the first derivative of -n**4/42 + n**3/21 + 2*n**2/7 + 5*n + 1. Let y(a) be the first derivative of z(a). Factor y(q).
-2*(q - 2)*(q + 1)/7
Factor 0*j - 2/5*j**2 + 2/5.
-2*(j - 1)*(j + 1)/5
Let t = 67 - 63. Let s(p) be the first derivative of 0*p + 3/4*p**3 + 3/4*p**2 - 5 + 3/16*p**t. Suppose s(h) = 0. Calculate h.
-2, -1, 0
Let v(z) be the first derivative of 1/14*z**4 + 1 + z + 1/105*z**6 + 0*z**2 + 1/21*z**3 + 3/70*z**5. Let a(x) be the first derivative of v(x). Factor a(b).
2*b*(b + 1)**3/7
Let j(s) be the second derivative of -s**7/7560 + s**6/360 - s**5/40 + s**4/6 - 2*s. Let i(r) be the third derivative of j(r). Factor i(p).
-(p - 3)**2/3
Suppose -5*l - 23 - 2 = -m, 2*m - 4*l - 32 = 0. Factor -8*a**2 + 13*a**5 - 16*a**2 - 18*a**4 - a**3 + 37*a**3 - m*a**5.
3*a**2*(a - 2)**3
Let j(y) be the second derivative of -y**4/24 + y**3/12 + y**2/2 - 18*y. Factor j(s).
-(s - 2)*(s + 1)/2
Factor -42/5*t**2 - 4/5 + 9/5*t**3 + 5*t.
(t - 4)*(3*t - 1)**2/5
Let 10*p**3 - 5*p**4 - 4*p + 3*p**2 - 4*p + 2*p**2 - 2*p = 0. What is p?
-1, 0, 1, 2
Let t = 2 - -1. Factor 8*v**2 + 13/3*v + 3*v**t + 2/3.
(v + 2)*(3*v + 1)**2/3
Let u(k) be the first derivative of 1 - 27/4*k - 1/4*k**3 - 9/4*k**2. Determine p so that u(p) = 0.
-3
Let r(y) be the second derivative of y**6/240 + y**5/120 + 5*y**2/2 + 8*y. Let t(h) be the first derivative of r(h). Factor t(g).
g**2*(g + 1)/2
Let r be (-63)/(-27) - (-1)/(-3). Let o(c) be the first derivative of 0*c**3 + 1/2*c**r + 1 + 0*c - 1/4*c**4. Solve o(p) = 0 for p.
-1, 0, 1
Suppose -3*f + 11 = 2. Factor 19*r**2 - 40*r**f - 5*r + 7*r**2 + 2*r - r.
-2*r*(4*r - 1)*(5*r - 2)
Let l(j) be the second derivative of -j**5/80 + j**4/48 + 10*j. Factor l(s).
-s**2*(s - 1)/4
Let h be (3/(-2) - 2) + (-8)/(-2). Solve 1/2*d**3 - h*d - 1/2*d**2 + 1/2 = 0.
-1, 1
Let o = 3/59 - -103/295. Solve o*