) be the first derivative of -1/48*w**4 + 1/24*w**3 + 4 + 0*w**2 - 2*w. Let p(s) be the first derivative of l(s). Factor p(x).
-x*(x - 1)/4
Let g(v) be the third derivative of 0*v + 0 + 0*v**5 - 1/42*v**7 + 0*v**3 - 1/24*v**6 + 0*v**4 + 16*v**2. Factor g(d).
-5*d**3*(d + 1)
Let h(p) be the second derivative of 0*p**2 - 1/80*p**5 + 1/24*p**4 + 14*p - 1/24*p**3 + 0. What is d in h(d) = 0?
0, 1
Let i = -51 + 51. Let q(p) be the third derivative of 0 + i*p + 5*p**2 + 0*p**5 + 0*p**3 - 1/180*p**6 + 1/36*p**4. Factor q(s).
-2*s*(s - 1)*(s + 1)/3
Let v be 1/(20/16)*15/(-2). Let c be 5/v*11/((-55)/380). What is s in -50/3*s**3 - 128/3*s - 8 - c*s**2 = 0?
-3, -2/5
Find n such that -106/11*n + 84/11 - 8/11*n**2 = 0.
-14, 3/4
Let b be (3/210 + (-92)/(-1610))/(1/4). Solve -6/7*p**3 + b*p**2 + 0 + 6/7*p - 2/7*p**4 = 0.
-3, -1, 0, 1
Let q be 72/(-168) - 3958/728. Let s = 138/13 + q. Solve -s*l**3 - 23/4*l**4 + 5*l**5 + 25/4*l**2 - 1/4*l - 1/2 = 0.
-1, -1/4, 2/5, 1
Let y be (-105)/(-216) + 9/(-24). Let k(h) be the first derivative of 0*h**2 + 0*h**3 + 4/15*h**5 - 5 + 0*h + 1/6*h**4 + y*h**6. Solve k(w) = 0.
-1, 0
Let s(z) = 6*z**3 + 2*z**2 - 3*z + 1. Let t be s(1). Let w be ((-4)/6)/(-2) + 10/t. Suppose -2/7 - 2/7*x**w + 4/7*x = 0. Calculate x.
1
Suppose -h**5 - 14*h**3 - 540*h**4 - 2 + 555*h**4 + 2 = 0. Calculate h.
0, 1, 14
Let y = 1387 + -5545/4. Factor 3/4*b**2 + 0*b + 3/4*b**5 + 0 - 3/4*b**4 - y*b**3.
3*b**2*(b - 1)**2*(b + 1)/4
Let y be 20*10/48 - 4. Let r(m) be the second derivative of 3*m + m**2 + 0 - 1/12*m**4 + y*m**3. Solve r(a) = 0.
-1, 2
Let r(f) be the second derivative of -f**6/20 + 9*f**5/10 - 45*f**4/8 + 29*f**3/2 - 18*f**2 + 10*f + 14. Determine o, given that r(o) = 0.
1, 4, 6
Suppose 12*r - 9*r - 12 = 0. Find i, given that 16*i**3 - 8*i**2 - i**r + i**4 + 21*i + 8 - 4*i**5 - 33*i = 0.
-2, -1, 1
Suppose 0 = 41*c - 35*c + 12. Let i be (-1)/c*(-2)/(-4). Find y, given that -1/4*y**2 + 1/4*y + 0 + 1/4*y**4 - i*y**3 = 0.
-1, 0, 1
Let m be 1 - (-1)/(3/(-57)). Let y be (m/6)/(0 + -1). Factor -29*t**3 - 23*t**3 + t**3 - 16*t**4 - 33*t**2 + 11*t**y - 1 - 10*t.
-(t + 1)**2*(4*t + 1)**2
Let w(i) be the second derivative of i**7/12600 - i**5/600 - i**4/6 + 3*i**2 + 6*i + 1. Let b(u) be the third derivative of w(u). Factor b(c).
(c - 1)*(c + 1)/5
Let r(g) be the first derivative of -g**6/90 - g**5/30 - 2*g**3 + 24. Let z(h) be the third derivative of r(h). Suppose z(l) = 0. Calculate l.
-1, 0
Suppose -2 - 1/2*l**3 + 1/2*l + 2*l**2 = 0. What is l?
-1, 1, 4
Let l(u) = -66*u**3 + 208*u**2 + 132*u - 176. Let s(q) = -6*q**3 + 19*q**2 + 12*q - 16. Let j(z) = 6*l(z) - 68*s(z). Let j(x) = 0. What is x?
-1, 2/3, 4
Let y(u) be the first derivative of 1/3*u**4 + 0*u + 7 + 2/3*u**2 + 8/9*u**3. Factor y(n).
4*n*(n + 1)**2/3
Let w(i) be the third derivative of i**6/24 - 65*i**4/24 + 10*i**3 - 85*i**2 - 2. Factor w(x).
5*(x - 3)*(x - 1)*(x + 4)
Factor -6/7*w**4 - 2/7*w**2 - 6/7*w**3 + 0*w + 0 - 2/7*w**5.
-2*w**2*(w + 1)**3/7
Let k be 2*((-28)/7)/(-480). Let y(d) be the second derivative of 3*d + 0*d**2 + k*d**4 + 1/15*d**3 + 0 - 1/100*d**5. Factor y(s).
-s*(s - 2)*(s + 1)/5
Let c(l) be the third derivative of 1/70*l**7 + 0*l**3 + 0 - 2*l**2 + 0*l**4 + 0*l**5 - 1/160*l**6 + 0*l. Determine z so that c(z) = 0.
0, 1/4
Let h = 3605 + -3605. Factor 0*a + 1/2*a**4 + a**3 + h - 3/2*a**2.
a**2*(a - 1)*(a + 3)/2
Let w = 88/459 + 761/3213. Factor 6*l + w*l**2 + 21.
3*(l + 7)**2/7
Let c be (-10)/(-185) - (-144)/74. Factor -q - 1/2*q**c + 0.
-q*(q + 2)/2
Let z(l) be the first derivative of l**6/540 + l**5/45 + l**4/12 + 3*l**3 + 13. Let v(b) be the third derivative of z(b). Find k such that v(k) = 0.
-3, -1
Let q = -107/436 + 54/109. Factor -q*n**2 + 1/2*n - 1/4.
-(n - 1)**2/4
Let k(s) = -s**3. Let n(z) be the first derivative of 5*z**4/4 - 2*z**3 - 2*z**2 - 10. Let p(t) = 14*k(t) + 2*n(t). Factor p(h).
-4*h*(h + 1)*(h + 2)
Let u = 29 - 23. Suppose 0 = 2*f + u - 10. Factor 2*l + 2*l**f + 6*l + 4*l - 4*l + 8.
2*(l + 2)**2
Let p(q) be the second derivative of q**7/3024 + q**6/288 + q**4/12 + 22*q. Let r(l) be the third derivative of p(l). Determine i so that r(i) = 0.
-3, 0
Let s(h) be the third derivative of -h**8/840 - 4*h**7/525 - h**6/50 - 2*h**5/75 - h**4/60 + 12*h**2 - 2*h. Factor s(v).
-2*v*(v + 1)**4/5
Let t(j) be the first derivative of 7*j**4 + 6/5*j**5 + 8*j + 46/3*j**3 + 16*j**2 - 7. Solve t(x) = 0.
-2, -1, -2/3
Let -8/3*x + 5/3*x**2 - 4/3 = 0. What is x?
-2/5, 2
Let y(b) = -3*b**2 - 46*b - 44. Let n(m) = -3*m**2 - 42*m - 45. Let u(q) = -4*n(q) + 3*y(q). Factor u(k).
3*(k + 2)*(k + 8)
Suppose 0*p - 44 = -4*p. Let h(w) = 4*w - 22. Let n be h(p). Determine t so that n*t**2 - 25*t**2 + 10*t - t = 0.
0, 3
Factor -3/4*w**3 - 3/2*w**2 + 0 + 2*w + 1/4*w**4.
w*(w - 4)*(w - 1)*(w + 2)/4
Let p(k) be the second derivative of 0*k**2 + 0*k**4 - 1/80*k**5 + 1/24*k**3 + 0 + 15*k. Let p(j) = 0. What is j?
-1, 0, 1
Let z be 0 + ((-663)/2600)/(3/(-2)). Let t = 2/25 + z. Find u, given that 0*u**2 + t*u - 1/4*u**3 + 0 = 0.
-1, 0, 1
Let d(j) be the first derivative of j**6/2880 - j**5/960 - 7*j**3/3 + 8. Let w(m) be the third derivative of d(m). Solve w(b) = 0 for b.
0, 1
Factor -4*x**2 + 2*x**2 - 14*x - 3 + 0*x**2 - 9.
-2*(x + 1)*(x + 6)
Let b be ((-57)/(-38))/((-3)/(-10) - 0). Let v(h) be the first derivative of -1 - 15*h**3 + 6*h**4 - 3*h - 12*h**2 + 48/5*h**b. Find q, given that v(q) = 0.
-1, -1/4, 1
Let w be (78/(-5))/((-30)/100). Factor -52*f**2 - 2*f**5 + w*f**2 + 4*f**3 - 2*f.
-2*f*(f - 1)**2*(f + 1)**2
Let p(h) be the first derivative of 2*h**5/45 + 5*h**4/9 + 58*h**3/27 + 20*h**2/9 - 581. Factor p(a).
2*a*(a + 1)*(a + 4)*(a + 5)/9
Factor -100/3 - 4/3*t**2 + 40/3*t.
-4*(t - 5)**2/3
Factor -4/11*z**3 + 6/11*z - 2/11*z**5 + 4/11*z**2 - 6/11*z**4 + 2/11.
-2*(z - 1)*(z + 1)**4/11
Suppose 0 = -3*g + 7*g + 16. Let s be 6/g + 29/14. Factor 10/7*u**2 + 2*u**3 + 0 - s*u.
2*u*(u + 1)*(7*u - 2)/7
Let k be -2 + (-20481)/84 - 3/(-12). Let j = -245 - k. Factor 0 + 0*s - 2/7*s**3 - j*s**2.
-2*s**2*(s + 2)/7
Let p(i) = -2*i**2 - 84*i + 86. Let x be p(-43). Factor 0*n + 2/9*n**2 + x.
2*n**2/9
Let n(a) = -4*a + 103. Let q be n(0). Let z = q + -102. Factor -t - z - 1/4*t**2.
-(t + 2)**2/4
Suppose -8*i**2 - 4*i + 0*i**3 - 8 - 11*i - 5*i**2 + 2*i**3 - 8*i = 0. What is i?
-1, -1/2, 8
Let j(m) be the first derivative of m**6/6 + m**5/2 - 5*m**4/4 - 10*m**3/3 + 10*m**2 + m - 4. Let t(a) be the first derivative of j(a). Factor t(r).
5*(r - 1)**2*(r + 2)**2
Suppose 0 = 12*f + 11 - 47. Let t be 5*((-80)/25)/(-4). Factor 3/2*c**t + 1/2*c - 5/2*c**f + 0 + 1/2*c**2.
c*(c - 1)**2*(3*c + 1)/2
Let x be 14 + (3 - -5)/(-4). Suppose 4*c = 2*t + x, -8*t - 3 = -3*t - c. Determine u so that 2/9*u**2 + t*u + 0 = 0.
0
Let f(h) be the third derivative of -h**10/151200 - h**9/20160 + h**8/5040 - 2*h**5/15 + 19*h**2. Let q(g) be the third derivative of f(g). Factor q(v).
-v**2*(v - 1)*(v + 4)
Let k(y) = y**4 - 2*y**3 - 5*y**2 + 2*y - 4. Let q(j) = 2*j**4 - 5*j**3 - 9*j**2 + 5*j - 7. Let o(p) = 7*k(p) - 4*q(p). Factor o(l).
-l*(l - 6)*(l - 1)*(l + 1)
Let s be 899/186 + 2/12. Let v(q) = -2*q**2 + q - 1. Let d(b) = 3*b**2 - 6*b + 2. Let i(m) = s*d(m) + 10*v(m). Factor i(c).
-5*c*(c + 4)
Let z(m) be the third derivative of 5/21*m**3 + 0*m - 1/210*m**5 + 4*m**2 + 0 - 1/21*m**4. Factor z(d).
-2*(d - 1)*(d + 5)/7
Let t(s) be the third derivative of 14*s**2 - 1/20*s**6 + 0*s**4 + 0*s - 1/30*s**5 - 1/168*s**8 - 1/35*s**7 + 0*s**3 + 0. Let t(i) = 0. Calculate i.
-1, 0
Factor 0*b**2 + 0*b + 0 + 2/5*b**3 + 2/5*b**5 - 4/5*b**4.
2*b**3*(b - 1)**2/5
Suppose -4*w + 4 = -4. Determine f, given that -6*f**3 + w*f**3 - 65*f - 6*f**2 + 6*f**4 + 69*f = 0.
-1, 0, 2/3, 1
Suppose -4/9*y + 4/9*y**4 - 4/3*y**2 + 8/9 + 4/9*y**3 = 0. What is y?
-2, -1, 1
Suppose 4 = 9*g - 14. Let i = -219/10 + 122/5. Factor i*j + 5/2*j**3 + 5*j**g + 0.
5*j*(j + 1)**2/2
Let u(z) be the first derivative of -z**4 + 104*z**3/3 - 258*z**2 + 720*z - 394. Factor u(m).
-4*(m - 20)*(m - 3)**2
Let s = 54 + -49. Factor -16 + 24 - s*d**2 - 4*d**2 - 3*d**3 + 4.
-3*(d - 1)*(d + 2)**2
Suppose -v = -b - 2*v + 34, -b = -4*v - 34. Suppose -300*f + 302*f = 6. Let 4*k + 0*k + 33*k**3 - b*k**f = 0. Calculate k.
-2, 0, 2
Let x = 907/716 - 3/179. Let 3/4 - x*v**2 + 1/2*v = 0. Calculate v.