first derivative of n**3 - 36*n**2 - 90 + 9/2*n**4 - 12*n. Find d such that m(d) = 0.
-2, -1/6, 2
Let x be ((-3228)/(-8))/3*-2. Let u = -155 - x. Determine y so that -2*y**3 + u*y - 29*y + 20 + 9*y**3 + 80*y**2 + 8*y**3 = 0.
-4, -1, -1/3
Let h be (-2 + (-135)/21 + 9)/(((-540)/42)/(-15)). Find b such that -136/3*b**2 + 0 - h*b**3 + 0*b = 0.
-68, 0
Let m be 7/(-126)*9/(-2). Let x(w) be the third derivative of 1/24*w**6 - 1/42*w**7 + m*w**5 + 0*w + 0 - w**2 + 5/3*w**3 - 25/24*w**4. Factor x(z).
-5*(z - 1)**3*(z + 2)
Let t(z) be the third derivative of z**5/60 - 59*z**4/24 + 19*z**3 + 7*z**2 - 7*z. Determine c, given that t(c) = 0.
2, 57
Factor 3/2*n**4 + 31/6*n - 17/2*n**3 - 23/6*n**2 - 1.
(n - 6)*(n + 1)*(3*n - 1)**2/6
Suppose -11*r + b + 28 + 26 = 0, 3*b = -3*r - 18. Factor -d + 11/5*d**2 + 1/5*d**r - 7/5*d**3 + 0.
d*(d - 5)*(d - 1)**2/5
Let o be (-29)/(-145)*(-3565)/(-46). Factor 225/2*a + 0 + o*a**3 + 255/2*a**2 + 1/2*a**4.
a*(a + 1)*(a + 15)**2/2
Let g(l) be the second derivative of l**4/108 - 2*l**3/9 - 13*l**2/18 + 1261*l. Find f such that g(f) = 0.
-1, 13
Let h be 2/(-3) + 23062/(-78). Let w = -295 - h. Solve -w*g - 1/2 + 0*g**3 + 1/6*g**4 - g**2 = 0.
-1, 3
Let d(g) = -2*g**3 - g**2 + 1 + 1 - 1 + g. Let t be d(-3). Factor 0*b**3 + 46*b - t*b**2 + 2*b + 19*b**2 + 3*b**3.
3*b*(b - 4)**2
Suppose 4*v + 0 = -4*x + 12, 4*v - x - 7 = 0. Suppose -10 = -4*k - 2*d, d - 13 + 16 = v*k. Factor 9/2*a - 27/2 - 3/8*a**k.
-3*(a - 6)**2/8
Let a(y) = 231*y**3 + 195*y**2 - 435*y + 27. Let v(o) = 116*o**3 + 97*o**2 - 216*o + 13. Let g(x) = -5*a(x) + 9*v(x). Find c, given that g(c) = 0.
-2, 3/37, 1
Let j(m) = 20*m**2 + 19*m + 17. Let a(i) = -6*i**2 - i - 1. Let n(h) = 3*a(h) + j(h). Factor n(l).
2*(l + 1)*(l + 7)
Let r(x) be the first derivative of 1/12*x**4 + x - 5/6*x**2 + 1/9*x**3 - 127. Find p such that r(p) = 0.
-3, 1
Let c(b) be the second derivative of -134*b - 1 + 94/27*b**3 - 1/108*b**4 - 4418/9*b**2. Determine w, given that c(w) = 0.
94
Let u(a) be the second derivative of -a**6/45 - a**5/3 + 29*a**4/18 + 6*a**3 - 24*a**2 - 2917*a. Find d, given that u(d) = 0.
-12, -2, 1, 3
Find g, given that -2/7*g**2 - 104882/7 - 916/7*g = 0.
-229
Let s(z) be the first derivative of 4/5*z**5 + 12*z**3 - 6*z**4 + 0*z**2 + 0*z + 45. Factor s(p).
4*p**2*(p - 3)**2
Suppose 5*h + 4*n = 14, 2 = 3*h + 3*n - 4. Factor b**4 - 6*b + h*b**3 - b**2 - 14077 + 14077.
b*(b - 1)*(b + 1)*(b + 6)
Let k(t) be the second derivative of 5*t**7/189 + 52*t**6/135 + 13*t**5/18 + t**4/3 - 4136*t. Determine h, given that k(h) = 0.
-9, -1, -2/5, 0
Let -7073 + 3560 - 250*d + 3601 + 11*d**2 + 11*d**2 = 0. What is d?
4/11, 11
Suppose -463*j = 2*i - 467*j - 8, 3*i + 2*j - 4 = 0. Factor -25/2*x + 1/4*x**i + 625/4.
(x - 25)**2/4
Let n(y) be the first derivative of 0*y + 2/57*y**3 - 1/38*y**4 + 0*y**2 - 44 + 1/57*y**6 - 2/95*y**5. Factor n(r).
2*r**2*(r - 1)**2*(r + 1)/19
Let i(h) = -3*h**2 - 2*h - 1. Let q(t) = -29*t**2 - 30*t - 9. Let v(b) = 18*i(b) - 2*q(b). Factor v(x).
4*x*(x + 6)
Let d(s) be the second derivative of -s**4/24 + 83*s**3/2 - 1485*s**2/4 + 6460*s. Factor d(o).
-(o - 495)*(o - 3)/2
Let m be (-22)/(-4) + (-9)/6. Let q(u) be the first derivative of 9*u**4 + 0*u**5 - 3*u**5 + 4*u**3 + 0 - 3*u**m + 1. Factor q(g).
-3*g**2*(g - 2)*(5*g + 2)
Let s(b) = b**3 - 2*b**2 - 4*b + 1. Let g be s(-3). Let d be 5/((-100)/g)*5. Find w such that 9*w + 4*w**3 - 20*w**2 - 4*w**5 + 4*w**4 + d*w**3 + w - 2*w = 0.
-2, 0, 1
Suppose -4*f + 13 = -11. Suppose -2*n - 4*k + 21 = n, -f = -n - k. Let -15 + 11*l + 33*l**2 - 14*l**3 + 20*l**n + l = 0. Calculate l.
-5, -1, 1/2
Let z = 1108 + -1058. Let v be (z/175)/(-1 - 13/(-7)). Solve -1/3*k**5 - 2/3*k**2 + v*k + 2/3*k**4 + 0*k**3 + 0 = 0 for k.
-1, 0, 1
Let m = 79/9 + -649/36. Let r = -211/28 - m. Find w, given that 40/7 - 4/7*w**2 - r*w = 0.
-5, 2
Factor -5336*y + 46*y**3 - 12993/5*y**2 - 13456/5 - 1/5*y**4.
-(y - 116)**2*(y + 1)**2/5
Let f(a) be the first derivative of -a**5/150 + a**4/3 - 20*a**3/3 - 5*a**2/2 - 2*a - 37. Let z(s) be the second derivative of f(s). Let z(g) = 0. Calculate g.
10
Factor -333*i + 0 + 3/2*i**2.
3*i*(i - 222)/2
Let z(f) be the first derivative of f**3/12 + 45*f**2/8 + 11*f + 106. What is n in z(n) = 0?
-44, -1
Let g(h) be the third derivative of 6*h + 0 - 4*h**2 - 1/12*h**4 + 0*h**3 - 1/150*h**5. Determine l so that g(l) = 0.
-5, 0
Let f(v) = 0 + 36 - 7*v - 3*v**2 + 30. Let c be f(-6). Factor 8*y - 4*y**2 + c - 7/2*y**3 - 1/2*y**4.
-y*(y - 1)*(y + 4)**2/2
Let u(w) be the first derivative of 8/5*w**2 - 130 - 12/5*w - 7/15*w**3 + 1/20*w**4. Solve u(z) = 0.
2, 3
Let w = -5011 - -5015. Let u = -5 - -7. Factor 3*r**4 + 270*r**2 - 276*r**u - 4*r - r**w.
2*r*(r - 2)*(r + 1)**2
Let w(t) be the third derivative of -t**8/1680 + t**7/105 - 19*t**4/12 + 64*t**2. Let o(j) be the second derivative of w(j). Determine f, given that o(f) = 0.
0, 6
Let k(o) = -36*o + 12. Let v(s) = 11 - 8 + 9*s - 6. Let y(w) = -2*k(w) - 9*v(w). Let h(u) = u**2 + u - 1. Let z(t) = 6*h(t) + y(t). Factor z(g).
3*(g - 1)*(2*g + 1)
Let h(n) be the third derivative of n**6/30 - 2*n**5/15 - 10*n**4/3 - 16*n**3 - 545*n**2 + 1. Factor h(q).
4*(q - 6)*(q + 2)**2
Let c = 10 - 5. Let k(n) = 11*n**3 + 15*n**2 - 39*n + 31. Let h(b) = b - 10*b**3 - 15*b**2 + 6 + 39*b - 36. Let q(f) = c*k(f) + 6*h(f). Factor q(x).
-5*(x - 1)**2*(x + 5)
Let p(x) be the third derivative of -x**6/120 - 91*x**5/60 - 2627*x**4/24 - 23273*x**3/6 - 10580*x**2. Solve p(q) = 0.
-37, -17
Let y = 1663678/1307141 - 4/118831. Find h, given that 0 + 30/11*h**3 + y*h**4 + 0*h + 2/11*h**5 + 18/11*h**2 = 0.
-3, -1, 0
Let j(v) = -v**2 + 2*v + 2. Let u be j(0). Let q be (u + 6)*(-1)/(-2). Factor -6*d**q + 8*d + 22*d**4 - 28*d - 8*d**2 + 4*d**5 - 4 + 16*d**3 - 4.
4*(d - 1)*(d + 1)**3*(d + 2)
Let b(p) be the second derivative of 7/11*p**3 + 0 + 30/11*p**2 - 2/11*p**4 - 28*p - 3/110*p**5. Suppose b(c) = 0. What is c?
-5, -1, 2
Let g be (-195)/6*-10*(-4)/8. Let u = -2259/14 - g. What is k in -u*k**4 - 10/7*k**3 - 2/7*k**5 + 0*k - 4/7*k**2 + 0 = 0?
-2, -1, 0
Let u(d) be the first derivative of -3*d**5/20 - d**4/2 + 21*d**3/2 - 27*d**2 - 106*d - 43. Let t(p) be the first derivative of u(p). What is o in t(o) = 0?
-6, 1, 3
Let s(a) be the third derivative of a**5/100 - 883*a**4/40 + 441*a**3/5 + 22*a**2 - 36*a + 1. Factor s(j).
3*(j - 882)*(j - 1)/5
Suppose 0 = -3*q - 2*c + 4, 5*q = q + 5*c + 13. Suppose q*a - 4*a = -4*r - 4, 5*a + 5*r - 25 = 0. Suppose 1 + s + 5 - 10*s**2 + a*s - 1 = 0. What is s?
-1/2, 1
Let y(a) be the second derivative of a**6/480 + a**5/240 - a**4/24 - a**3/6 - 75*a**2/2 - 2*a - 2. Let j(m) be the first derivative of y(m). Factor j(p).
(p - 2)*(p + 1)*(p + 2)/4
Let 15/2*f**2 - 5*f + 0*f**3 - 5/2*f**4 + 0 = 0. What is f?
-2, 0, 1
Suppose -1024*k + 1011*k = -26. Let l(p) be the first derivative of 3/20*p**4 - 27/5*p - 9 + 9/10*p**k + p**3. Factor l(d).
3*(d - 1)*(d + 3)**2/5
Factor 12*u + 0 - 1/3*u**3 - 5/3*u**2.
-u*(u - 4)*(u + 9)/3
Let i = 294577 + -294574. Let 4/7*r**i + 20/7*r - 26/7*r**2 + 0 + 2/7*r**4 = 0. Calculate r.
-5, 0, 1, 2
Let b(g) = 5*g - 157. Let q be b(32). Find r, given that -3*r**q - 574 + 83*r**2 - 2*r**2 - 504*r - 14 = 0.
-1, 14
Let i(b) be the second derivative of -b**5/180 - b**4/18 - b**3/6 + 95*b**2/2 + b + 11. Let a(u) be the first derivative of i(u). Factor a(r).
-(r + 1)*(r + 3)/3
Let n(u) be the first derivative of -22 - 15/2*u**2 - 5/3*u**3 + 20*u. Factor n(h).
-5*(h - 1)*(h + 4)
Factor 0*q - 88/3*q**2 - 6*q**4 - 28*q**3 + 0 + 1/3*q**5.
q**2*(q - 22)*(q + 2)**2/3
Let l be (-21)/((-252)/96)*(-1)/4. Let y be ((-15)/(-210))/(7/l - -4). Factor y*b**3 - 1/7*b - 1/7*b**2 + 1/7.
(b - 1)**2*(b + 1)/7
Let n(q) be the third derivative of 1/33*q**4 - q**2 + 0*q**3 + 0*q + 2/385*q**7 + 1/1848*q**8 + 0 + 2/55*q**5 + 13/660*q**6. Factor n(v).
2*v*(v + 1)**2*(v + 2)**2/11
Let q(m) be the third derivative of -2/3*m**4 - 3/5*m**5 - 2/105*m**7 - 1/5*m**6 + 0*m**3 + 0*m - 30*m**2 + 0. Suppose q(r) = 0. Calculate r.
-4, -1, 0
Let m(i) be the third derivative of -i**5/330 - 15*i**4/44 - 108*i**3/11 + 13*i**2 + 19*i + 2. Factor m(t).
-2*(t + 9)*(t + 36)/11
Factor 800*c - 552*c**2 + 3294 + 4*c**4 + 3378 - 7020 + 96*c**3.
4*(c - 3)*(c - 1)**2*(c + 29)
Let a be (-329)/(-188) - ((-46)/24 + -2 - -