rivative of 1/21*w**3 + 0*w**2 + w + 0 + 0*w**5 - 1/210*w**6 + 1/28*w**4. Factor z(b).
-b*(b - 2)*(b + 1)**2/7
Factor -1/3*x**2 + 2/3*x + 0.
-x*(x - 2)/3
Let a be (6/72*4)/(2/18). Let 5*b + 8*b - 5*b**a + 3*b**2 + b**4 - 4*b = 0. What is b?
-1, 0, 3
Let v(n) = -3*n**2 + 48*n - 57. Let r(w) = 0 - w**2 - 12 - 2 + 12*w. Let p(f) = 9*r(f) - 2*v(f). What is o in p(o) = 0?
2
Suppose 3*s - 67 = 2*f, 0*f - 3*f = 4*s - 112. Let y be 5/s + 254/5. Factor -y*u - 3*u**3 + 51*u - 2*u**2 - u**4.
-u**2*(u + 1)*(u + 2)
Let o(u) be the first derivative of 2*u**5/25 - 16*u**4/5 + 46*u**3/3 - 84*u**2/5 - 671. Solve o(w) = 0.
0, 1, 3, 28
Let k = -8 + 8. Suppose -2*z + k*z + 4 = 4*c, -z = c. What is p in 4*p**5 + p - 6*p**5 - p + 6*p**3 + 4*p**c = 0?
-1, 0, 2
Factor 0*v + 2*v**4 + 0 + 0*v**3 + 2/3*v**5 - 8/3*v**2.
2*v**2*(v - 1)*(v + 2)**2/3
Factor g**3 + 17*g**2 - 13*g - 87*g**2 + 25*g**2 + 24*g**2 + 16*g**2 - 7.
(g - 7)*(g + 1)**2
Let u(j) be the third derivative of j**6/30 - 24*j**5/5 + 216*j**4 - 7*j**2 - 13. Factor u(q).
4*q*(q - 36)**2
Let p(j) be the third derivative of j**5/120 - j**4/48 - 5*j**3/3 - 6*j**2 + 3*j. Factor p(v).
(v - 5)*(v + 4)/2
Let l(j) be the second derivative of -3*j**6/35 + 33*j**5/35 - 37*j**4/42 - 44*j**3/3 - 28*j**2 + 846*j. Let l(b) = 0. Calculate b.
-1, 14/3
Let q(v) be the second derivative of -21*v + 39/80*v**5 + 1/56*v**7 + 3/20*v**6 + 1/2*v**3 + 3/4*v**4 + 0 + 0*v**2. Suppose q(n) = 0. Calculate n.
-2, -1, 0
Let h(z) be the first derivative of 3*z**2 - 43 + 0*z + 8/3*z**3 + 1/2*z**4. Factor h(d).
2*d*(d + 1)*(d + 3)
Let i(o) be the first derivative of 1/17*o**2 + 12 - 2/51*o**3 - 1/34*o**4 + 2/17*o. Factor i(j).
-2*(j - 1)*(j + 1)**2/17
Let m(d) be the second derivative of d**7/252 + d**6/5 + 18*d**5/5 + 24*d**4 - 293*d. Factor m(j).
j**2*(j + 12)**3/6
Let x(f) be the first derivative of f**7/5040 - f**6/360 + f**5/60 - f**4/18 + 2*f**3 + 19. Let m(b) be the third derivative of x(b). Factor m(n).
(n - 2)**3/6
Let g(v) be the second derivative of -v**6/75 - v**5/50 + 4*v**4/15 + 4*v**3/5 + 560*v. Factor g(b).
-2*b*(b - 3)*(b + 2)**2/5
Factor 12635/2*v - 2375*v**2 - 485*v**3 - 55/2*v**4 - 6859/2 - 1/2*v**5.
-(v - 1)**2*(v + 19)**3/2
Find i such that -96/17 - 192/17*i**4 + 288/17*i**2 - 280/17*i + 266/17*i**3 + 14/17*i**5 = 0.
-1, -2/7, 1, 2, 12
Let d = 635/306 - 31/18. Factor 0 + d*s**2 + 0*s + 2/17*s**3.
2*s**2*(s + 3)/17
Let i = 921/11 + -3651/44. Suppose -3*q - 3/4 - 9/2*q**2 - 3*q**3 - i*q**4 = 0. Calculate q.
-1
Let u(d) be the second derivative of -d**6/30 - d**5/4 - 7*d**4/12 - d**3/2 - 9*d + 1. Factor u(k).
-k*(k + 1)**2*(k + 3)
Let z = -1145 - -13741/12. Let w(t) be the second derivative of 1/8*t**2 + 0 - z*t**3 + 1/48*t**4 + 5*t. Factor w(k).
(k - 1)**2/4
Let j(z) be the second derivative of z**5/60 - 55*z**4/36 + 87*z**3/2 - 243*z**2/2 - 87*z. Find v, given that j(v) = 0.
1, 27
Let h(d) be the second derivative of 1/6*d**4 + 0 + 4/3*d**3 + 1/180*d**6 - 1/20*d**5 + 0*d**2 + 4*d. Let u(s) be the second derivative of h(s). Factor u(m).
2*(m - 2)*(m - 1)
Let s(z) be the second derivative of 0*z**2 + 3/140*z**5 - 21*z + 0 - 1/28*z**4 + 0*z**3. Factor s(a).
3*a**2*(a - 1)/7
Suppose 3*z = -0*z - 2*h + 40, z + h = 13. Let r = z - 7. Find u such that 66*u**4 + 22*u**5 + 69*u**3 - r*u**5 - 60*u**2 - 24 - 84*u + 18*u**2 = 0.
-2, -1, -2/5, 1
Let z(s) be the second derivative of 37*s + 0 - 1/21*s**4 - 1/35*s**5 + 1/147*s**7 + 1/21*s**3 + 1/105*s**6 + 1/7*s**2. Factor z(v).
2*(v - 1)**2*(v + 1)**3/7
Let z(w) = -16*w + 20. Let k(f) = -3*f + 4. Let l(j) = 11*k(j) - 2*z(j). Let x be l(2). Factor 5*o**3 - 4*o**5 - o**3 - 4*o**x - 16*o**3 - 12*o**4.
-4*o**2*(o + 1)**3
Suppose 3*p = -p + 12. Suppose 5*z = 5*b + 1 - 6, z + b - 9 = 0. Determine r so that 4 - 11*r + 9*r - 8*r**2 + 3*r**3 + r**p + z*r**4 - 2*r**5 = 0.
-1, 1, 2
Let v(j) be the first derivative of 0*j**2 - 1/10*j**4 + 0*j + 7 + 8/15*j**3. Factor v(t).
-2*t**2*(t - 4)/5
Let t = -362 - -1449/4. Let s(v) be the second derivative of 5/6*v**3 + v**2 + 0 + t*v**4 + 5*v. Factor s(q).
(q + 1)*(3*q + 2)
Let k = 1652/3905 + -18/781. Determine j, given that -6/5*j**5 + k + 12/5*j**3 - 4/5*j**2 + 2/5*j**4 - 6/5*j = 0.
-1, 1/3, 1
Let q(n) be the first derivative of -n**6/6 - n**5/5 + n**4/4 + n**3/3 - 93. What is h in q(h) = 0?
-1, 0, 1
Let x(d) be the third derivative of 0 + 0*d - 1/60*d**5 + 1/210*d**7 + 0*d**3 - 10*d**2 - 1/24*d**4 + 1/120*d**6. Let x(n) = 0. Calculate n.
-1, 0, 1
Let z(v) be the first derivative of 2*v**3/15 + 3*v**2/5 - 93. Solve z(l) = 0.
-3, 0
Let r(m) be the second derivative of m**5/60 + 2*m**4/9 + 17*m**3/18 + 5*m**2/3 - 253*m. Let r(k) = 0. What is k?
-5, -2, -1
Let d(x) = x**3 - 3*x**2 + 4*x. Let i be d(2). Factor -12 - 5*c**4 + i*c**4 + 36*c - 4 + 9*c**3 - 28*c**2.
-(c - 4)*(c - 2)**2*(c - 1)
Let x(w) be the first derivative of -3/5*w**5 + 5/4*w**4 - 1/2*w**2 + 0*w - 1 - 1/3*w**3. Determine y, given that x(y) = 0.
-1/3, 0, 1
Let t = 14866 + -104060/7. Suppose 10/7 + t*u**3 - 2/7*u - 10/7*u**2 = 0. What is u?
-1, 1, 5
Let b(h) be the second derivative of h**5/20 + 7*h**4/12 + 5*h**3/2 + 9*h**2/2 + 51*h. Determine z, given that b(z) = 0.
-3, -1
What is i in -4/13*i**4 + 0 - 6/13*i**3 + 2/13*i + 0*i**2 = 0?
-1, 0, 1/2
Solve -248*o**3 + 144 + 24*o**2 - 229*o**3 + 474*o**3 + 132*o = 0.
-2, 12
Let q(d) be the first derivative of 2*d**3/3 + 19*d**2 + 68*d + 13. Factor q(c).
2*(c + 2)*(c + 17)
Let k = 274/71 - 112/213. Determine r, given that -k*r + 0 - 2/3*r**2 = 0.
-5, 0
Let c(d) be the second derivative of 5*d**4/12 - 25*d**3 - 155*d**2/2 - 3*d. Factor c(l).
5*(l - 31)*(l + 1)
Let -25/4*c**5 + 70*c**2 - 76*c**3 + 145/4*c**4 - 28*c + 4 = 0. Calculate c.
2/5, 1, 2
Let f be (-1360)/(-24)*-3*1. Let h = f + 858/5. Determine m, given that 6*m**2 - 6/5 - 16/5*m - h*m**3 = 0.
-1/4, 1, 3
Let m(a) be the first derivative of 1/4*a**3 + 0*a**4 - 3*a**2 + 0*a + 4 - 1/40*a**5. Let s(w) be the second derivative of m(w). Find g, given that s(g) = 0.
-1, 1
Let d(a) be the third derivative of a**7/5040 - a**6/1440 - a**4/24 + 8*a**2. Let o(c) be the second derivative of d(c). Factor o(k).
k*(k - 1)/2
Find q such that 2 + 3 - 16 - 3*q - q**2 + 9 = 0.
-2, -1
Let a(b) = 5*b**2 + 7*b + 2. Suppose -4*h + 107 = 115. Let q(v) = 4*v**2 + 6*v + 2. Let z(f) = h*a(f) + 3*q(f). Find x, given that z(x) = 0.
-1
Let p(n) be the second derivative of 4*n + 1/51*n**3 - 1/255*n**6 + 1/102*n**4 + 0*n**2 - 1/170*n**5 + 0. Factor p(r).
-2*r*(r - 1)*(r + 1)**2/17
Let n(c) be the third derivative of -c**8/224 - c**7/70 - 270*c**2. Determine k so that n(k) = 0.
-2, 0
Let q(a) be the first derivative of 25/8*a**2 - 5 + 12*a + 1/48*a**4 - 5/12*a**3. Let b(g) be the first derivative of q(g). Factor b(u).
(u - 5)**2/4
Let z be 3 - (-1 + -1 - -1). Factor l**3 + 8*l**4 - 3*l**3 - 10*l**z.
-2*l**3*(l + 1)
Let s = -343 + 343. Let p(l) be the third derivative of 0*l + 6/35*l**7 + 2*l**2 + 0 + s*l**4 + 7/30*l**6 - 2/15*l**5 + 0*l**3. Find v, given that p(v) = 0.
-1, 0, 2/9
Factor -27*f - 2*f**2 + 4*f**2 + 30*f + f**2 + f**3 + 1.
(f + 1)**3
Let w = 257 - 239. Let v be 0 - 3/w*3*-6. Suppose -372/13*m**v + 136/13*m**2 - 98/13*m**5 + 0 + 350/13*m**4 - 16/13*m = 0. What is m?
0, 2/7, 1, 2
Let b(q) be the first derivative of -6*q**5/5 - 47*q**4/6 - 164*q**3/9 - 52*q**2/3 - 16*q/3 + 290. Let b(k) = 0. Calculate k.
-2, -1, -2/9
Suppose 5*f = 23 + 2. Suppose -99 = -4*h - 5*w + f, -4*w = -16. Factor -13*g**2 - 3*g - h*g + 6 + g**2 + 3*g.
-3*(g + 2)*(4*g - 1)
Let g be 4/5*40/(-16)*-1. Suppose -8/13*s + 8/13 - 2/13*s**g + 2/13*s**3 = 0. Calculate s.
-2, 1, 2
Let g(h) be the first derivative of -h**6/39 - 8*h**5/65 - 2*h**4/13 + 4*h**3/39 + 5*h**2/13 + 4*h/13 - 139. What is q in g(q) = 0?
-2, -1, 1
Suppose -5*d = -3*t - 51, 0*t = -4*t + 3*d - 57. Let j be 10/135*-3*t. Factor 4/3*u**5 + 0*u**2 + j*u**3 + 4*u**4 + 0*u + 0.
4*u**3*(u + 1)*(u + 2)/3
Let u(g) be the second derivative of -3*g**5/160 + 7*g**4/32 - 5*g**3/8 - 5*g + 32. Find s such that u(s) = 0.
0, 2, 5
Let i(s) = -s - 2. Let c be i(-2). Suppose -3*y - 3 + 24 = c. Suppose -y*a**4 + 3*a**2 - 3*a**3 - 4*a**3 - 2*a**3 - 5*a**4 = 0. What is a?
-1, 0, 1/4
Suppose 28*j = 34*j. Let p(m) be the second derivative of m + j - 1/18*m**4 - 4/9*m**2 + 8/27*m**3. What is k in p(k) =