derivative of n**6/540 - 7*n**5/30 - 534*n**2. Let o(b) = 0. What is b?
0, 63
Let h be (-2 + (63/12 - 3))/((-36)/(-48)). Find v, given that -2/3 + v + 1/3*v**4 - v**3 + h*v**2 = 0.
-1, 1, 2
Let u(l) be the second derivative of -2/5*l**3 + 27*l + 6/5*l**2 + 1/20*l**4 + 0. Factor u(o).
3*(o - 2)**2/5
Let x(f) = -f**3 - 21*f**2 + 96*f - 125. Let u(t) = t**3 - t**2 - 1. Suppose -4*a = -0*w + w + 3, -3*a = 0. Let q(z) = w*u(z) - x(z). Factor q(d).
-2*(d - 4)**3
Suppose 5*f - 20 = -0*v - 4*v, 12 = 3*f. Suppose -2*h + 2*z - 9 = -5*h, v = -5*z. Find x, given that -2/3*x**4 - 10/3*x**2 + 0 - 8/3*x**h - 4/3*x = 0.
-2, -1, 0
Let a(q) be the second derivative of 5*q**4/18 + 19*q**3/9 + 4*q**2 - 3*q - 44. Solve a(s) = 0.
-3, -4/5
Let v be 1/3 - (-2 - (-25)/(-15)). Let d be (6/40*v)/((-3)/(-2)). Factor 0 - d*y**2 - 2/5*y**4 + 0*y + 4/5*y**3.
-2*y**2*(y - 1)**2/5
Let v = 95/184 + -3/184. Factor -v*x**4 - 3*x**3 - 3/2 - 6*x**2 - 5*x.
-(x + 1)**3*(x + 3)/2
Let j(n) be the third derivative of n**7/70 - n**6/20 - 3*n**5/20 - 671*n**2. Find o, given that j(o) = 0.
-1, 0, 3
Let l be 4 - (-11 + 19/(152/80)). Factor 8/5*u**2 + 4*u**3 + 16/5*u**4 + 4/5*u**l + 0*u + 0.
4*u**2*(u + 1)**2*(u + 2)/5
Let g(d) be the first derivative of d**4/16 - 2*d**3/3 + 7*d**2/8 + 54. Determine p so that g(p) = 0.
0, 1, 7
Let c = -4921 - -4923. Factor 0 - 10*p**3 + 5/2*p**4 + 0*p + 10*p**c.
5*p**2*(p - 2)**2/2
Let y(a) be the first derivative of -1/4*a**4 - 24 + 1/2*a**2 + 0*a**3 + 0*a. Let y(p) = 0. Calculate p.
-1, 0, 1
Factor 205*q + 150*q**2 + 7918*q + 92673 - 623*q + 32327 + q**3.
(q + 50)**3
Let r = -41/2940 + 3/98. Let a(n) be the third derivative of 0*n**3 - r*n**6 - 1/15*n**5 - 5*n**2 + 0*n + 0 - 1/12*n**4. Suppose a(j) = 0. Calculate j.
-1, 0
Let t = 5 + -3. Suppose -2*i = -2 - t. What is f in 2*f**3 - f**2 + 2*f**2 - 7*f**i - 3*f - 5*f**3 = 0?
-1, 0
Let w(d) = -7*d**3 - 16*d**2 - 2*d + 16. Let k(p) = 16*p**3 + 32*p**2 + 5*p - 32. Let z(i) = -6*k(i) - 14*w(i). Factor z(s).
2*(s - 1)*(s + 1)*(s + 16)
Let t be (-9 - 411/(-21)) + -10. Factor -2/7*p**3 + 0 - 2/7*p - t*p**2.
-2*p*(p + 1)**2/7
Let n be (21/((-189)/(-18)))/4. Suppose 1 - n*u**3 + 1/4*u**4 + u - 3/4*u**2 = 0. What is u?
-1, 2
Let z(h) be the second derivative of 0*h**3 - 11*h + 0*h**2 + 1/30*h**4 + 1/25*h**5 - 1/25*h**6 + 0. Find r, given that z(r) = 0.
-1/3, 0, 1
Suppose 0*d - 3*d = -18. Suppose -d*l + 2*l + 16 = 0. Suppose 47*u + 24*u**2 - 55*u**l + 21*u**3 - 43*u + 6*u**4 = 0. Calculate u.
-2/7, 0, 1
Let j(n) be the first derivative of 45*n**4/8 + n**3/2 - 45*n**2/4 - 3*n/2 - 125. Find r such that j(r) = 0.
-1, -1/15, 1
Let d(w) be the first derivative of w**9/3024 + w**8/840 - w**7/840 - w**6/180 - 5*w**3 + 26. Let j(h) be the third derivative of d(h). Factor j(s).
s**2*(s - 1)*(s + 1)*(s + 2)
Let w(l) be the first derivative of 0*l**2 + 1/10*l**4 + 2/15*l**3 + 0*l - 2/25*l**5 - 1/15*l**6 + 7. Let w(t) = 0. What is t?
-1, 0, 1
Let m(x) be the first derivative of 2/9*x**3 - 2/15*x**5 + 1/2*x**4 - 1/9*x**6 + 8 - 2/3*x**2 + 0*x. Determine n so that m(n) = 0.
-2, -1, 0, 1
Let o = -4091 - -4091. Let r be (1/((-3)/(-9)))/8. Factor 9/4*s**3 + o*s + 27/8*s**4 + 3/2*s**5 + r*s**2 + 0.
3*s**2*(s + 1)**2*(4*s + 1)/8
Find d such that d**2 - 2104*d + 2106*d - d**3 - 2*d**2 = 0.
-2, 0, 1
Let c(w) be the second derivative of 16/21*w**7 - 1/2*w**4 - 53/30*w**5 + 5*w + 0 + 5/9*w**3 + 1/3*w**2 + 8/45*w**6. Solve c(g) = 0 for g.
-1, -1/4, 1/3, 1
Let t(r) be the third derivative of 4*r**7/525 - 23*r**6/300 + 7*r**5/25 - r**4/3 - 8*r**3/15 + 2*r**2 + 214. Determine b so that t(b) = 0.
-1/4, 2
Let t(u) be the third derivative of -u**8/168 + u**7/60 + 7*u**6/120 - 13*u**5/120 - 5*u**4/12 - u**3/3 + 4*u**2 + 8. Suppose t(r) = 0. Calculate r.
-1, -1/4, 2
Suppose 4*t = 5*k - 3, -2*t + 0 = -4*k + 6. Let j(p) be the third derivative of -8*p**k + 0*p + 5*p**2 + 0 - p**4 - 1/20*p**5. Factor j(a).
-3*(a + 4)**2
What is w in 10/3*w**3 + 2/3*w**4 - 2/3*w**2 - 10/3*w + 0 = 0?
-5, -1, 0, 1
Let c(l) be the second derivative of 0 + 1/4*l**3 - 5*l + 0*l**2 - 1/48*l**4. Solve c(k) = 0.
0, 6
Let m(b) be the second derivative of -50*b + 1/4*b**4 + 363/2*b**2 + 0 - 11*b**3. What is x in m(x) = 0?
11
Factor -44/13*x + 0 + 2/13*x**2.
2*x*(x - 22)/13
Let m = -4866 - -24339/5. Factor 0 - 1/5*a - a**4 - 3/5*a**2 + m*a**3.
-a*(a - 1)**2*(5*a + 1)/5
Factor -48*m**2 + 12*m**5 - 46*m - 18*m**4 - 3 + 19*m - 15*m**5 - 3 - 42*m**3.
-3*(m + 1)**4*(m + 2)
Let m be -3 + (-1)/(3/6). Let b be 3/(-1 - m/2). Factor n + 3*n**2 - 9 - 4*n**2 + b*n + 3*n.
-(n - 3)**2
Suppose 2/7*a**2 + 2/7*a - 4/7 = 0. What is a?
-2, 1
Let x(p) be the first derivative of 361*p**4/6 + 3724*p**3/9 + 1060*p**2 + 1200*p - 921. Factor x(v).
2*(v + 2)*(19*v + 30)**2/3
Let s be ((-9)/((-4455)/10))/(12/108). Let 8/11*u**3 - 8/11*u + 4/11*u**2 + s*u**4 - 6/11 = 0. What is u?
-3, -1, 1
Let n(c) = -97*c - 7463. Let g be n(-77). Factor -3/2*h**3 + 3/2*h**5 + 9/2*h**4 - g - 18*h - 33/2*h**2.
3*(h - 2)*(h + 1)**3*(h + 2)/2
Solve -2/13*x**2 - 14/13*x**3 - 8/13 + 16/13*x + 10/13*x**4 - 2/13*x**5 = 0 for x.
-1, 1, 2
Let i(j) = -4*j**2 + 16*j - 18. Let p(g) = 11*g**2 - 47*g + 53. Let b(a) = 17*i(a) + 6*p(a). Factor b(c).
-2*(c - 1)*(c + 6)
Let y(j) be the third derivative of j**7/120 + 23*j**6/480 + j**5/40 - 7*j**4/24 - j**3/3 + 47*j**2 + 3. Factor y(x).
(x - 1)*(x + 2)**2*(7*x + 2)/4
Let m(a) be the second derivative of a**5/80 - a**4/32 - a**3/4 - 8*a**2 + 14*a. Let h(p) be the first derivative of m(p). Factor h(n).
3*(n - 2)*(n + 1)/4
Determine w so that 14 - 7/3*w**3 - 10*w**2 + 139/3*w = 0.
-7, -2/7, 3
Let w(v) = -v**2 + 6*v + 5. Let n be w(6). Let i be 3/n - (-66)/15. Find g, given that -4*g**3 + 9*g**3 - 2*g**4 + 2*g**2 + 2*g**i - 7*g**3 = 0.
-1, 0, 1
Suppose 2*i = 9 + 1, 0 = 2*f - i - 3. Factor -725*d**3 + 753*d**3 + 60*d**2 + 16*d + 20*d + 4*d**f.
4*d*(d + 1)*(d + 3)**2
Let q(y) be the first derivative of 5 - y - 2*y**2 + 5/3*y**3. Factor q(k).
(k - 1)*(5*k + 1)
Let w(v) = v**4 + v**3 + v**2 - 1. Let z(i) = 125*i**5 + 244*i**4 + 109*i**3 - 6*i**2 - 4. Let s(l) = -4*w(l) + z(l). Factor s(t).
5*t**2*(t + 1)**2*(25*t - 2)
Let v(p) be the second derivative of 3*p**5/160 + 9*p**4/32 + 23*p**3/16 + 45*p**2/16 - 101*p. Factor v(b).
3*(b + 1)*(b + 3)*(b + 5)/8
Suppose 10 = -4*x + 9*n - 7*n, -x + 2*n - 10 = 0. Let p(b) be the third derivative of 0 + 1/10*b**5 + x*b**3 - 1/8*b**4 + 0*b + 3*b**2 - 1/40*b**6. Factor p(a).
-3*a*(a - 1)**2
Let x(l) = -13*l - 4. Let g be x(6). Let n = -80 - g. Factor 1/2*u - 1/2*u**n + 0.
-u*(u - 1)/2
Let m(o) be the third derivative of o**7/105 - 3*o**5/10 - o**4/3 + 4*o**3 + 17*o**2 - 1. Suppose m(v) = 0. Calculate v.
-2, 1, 3
Let 34/13*x**3 + 0 + 0*x - 18/13*x**5 - 42/13*x**4 - 6/13*x**2 = 0. Calculate x.
-3, 0, 1/3
Let l(h) be the second derivative of h**8/1008 - h**6/120 - h**5/90 - 19*h**2/2 - 31*h. Let u(p) be the first derivative of l(p). Factor u(v).
v**2*(v - 2)*(v + 1)**2/3
Let o = 83 + -77. Let i be ((-15)/(-10) + -1)/(7/o). Factor -i*r**3 + 3/7*r**2 + 6/7*r + 0.
-3*r*(r - 2)*(r + 1)/7
Let f = -20 - -24. Let u(t) = t**3 - 3*t**2 - 3*t - 2. Let y be u(f). Factor -s - 2*s + 32*s**2 - 35*s**y.
-3*s*(s + 1)
Let u be 3*-3*8/(-3). Let f = u + -19. Solve -3 + n - 2*n + f*n - n**2 = 0.
1, 3
Let x(m) be the first derivative of m**2 - m**4 - 9 - 2/5*m**5 + 1/3*m**6 - 2*m + 4/3*m**3. Factor x(q).
2*(q - 1)**3*(q + 1)**2
Let o(w) be the second derivative of -1/105*w**7 - 72/5*w**2 + 1/3*w**4 + 0*w**6 + 3/10*w**5 - 4*w**3 + 0 - 21*w. Suppose o(b) = 0. What is b?
-2, 3
Suppose -4*j - 68 = -4*l, 0*j = -3*l - 5*j + 11. Factor 4*g + l*g**2 + 1 + 12*g**4 - 28*g**3 + 8*g - 9.
4*(g - 1)**3*(3*g + 2)
Let k(s) be the second derivative of 1/8*s**4 - 9/4*s**2 - 8*s + 0 - 1/2*s**3. Factor k(y).
3*(y - 3)*(y + 1)/2
Let t(o) be the third derivative of -o**5/15 + 5*o**4 - 150*o**3 + 33*o**2. Find y such that t(y) = 0.
15
Let y(f) be the third derivative of -15*f**2 + 1/280*f**7 + 0*f**4 - 3/320*f**6 + 0*f + 0*f**5 + 0*f**3 + 0. Let y(p) = 0. Calculate p.
0, 3/2
Suppose -17*g + o - 2 = -16*g, -3*g - o + 10 = 0. Let p(n) be the second derivative of 9*n - 1/9*n**3 + 0*n**g + 0 - 1/72*n**4. What is t in p(t) = 0?
-4, 0
Determine c, given that 16/3*c + 2/3*c**2 - 2/3*c**4 - 10/3*c**3 + 2/3*c**5 + 8