ivative of -297 - 1/2*k**4 + 2/3*k**3 - 1/4*k**2 + 0*k. Factor d(p).
-p*(2*p - 1)**2/2
Suppose -d - 2*l + 34 = -9, -5*d - 3*l + 215 = 0. Let w = d - 39. Factor 5*u**5 + u**5 - 4*u**3 - 2*u**5 - 4*u**4 - w*u**3.
4*u**3*(u - 2)*(u + 1)
Factor -21/11*u**2 + 1/11*u**3 - 24/11*u + 4.
(u - 22)*(u - 1)*(u + 2)/11
Let v = -38 - -40. Suppose 52 = 4*i + 4*y, -v*i = 4*y - 17 - 3. What is j in -j**5 + 1 + 16*j**2 - i*j**4 + 12*j**4 + 4*j**3 - j**5 + 14*j + 3 = 0?
-1, 2
Let m(p) = -3*p**4 - 2128*p**3 - 375948*p**2 + 8*p - 16. Let r(t) = -15*t**4 - 10641*t**3 - 1879740*t**2 + 42*t - 84. Let u(q) = 21*m(q) - 4*r(q). Factor u(h).
-3*h**2*(h + 354)**2
Find f such that -384 + 36*f**2 + 30*f**2 - 63*f**2 + 186*f = 0.
-64, 2
Let n(a) be the second derivative of 59/18*a**4 - a**5 + 1/10*a**6 - 73*a + 3/2*a**2 - 10/3*a**3 + 0. Determine o so that n(o) = 0.
1/3, 3
Let q be (40/(-12))/((-22)/33). Let 4*i**3 - 4*i**q - 13*i**4 + 0*i**2 + 5*i**4 + 0*i**5 + 8*i**2 = 0. Calculate i.
-2, -1, 0, 1
Let a(d) be the second derivative of 1/170*d**5 + 0*d**2 + 0 + 121*d + 7/51*d**4 + 0*d**3. Suppose a(z) = 0. Calculate z.
-14, 0
Let k = 7223/215790 + -1/7193. Let d(t) be the third derivative of 0 - 1/3*t**3 - 22*t**2 + 0*t - 5/24*t**4 + k*t**5 + 1/24*t**6. Suppose d(g) = 0. What is g?
-1, -2/5, 1
Let m be (56/20*-1)/(392/560) - -7. Let 9*v**m + 78/5 + 546/5*v**2 - 501/5*v = 0. Calculate v.
-13, 1/5, 2/3
Let g(l) be the second derivative of 1024/11*l**2 + 1/66*l**4 + 83*l - 64/33*l**3 + 0. Factor g(t).
2*(t - 32)**2/11
Let c(o) be the third derivative of o**9/6300 - o**8/1200 + o**7/630 - o**6/900 - 5*o**4/3 - 59*o**2. Let i(q) be the second derivative of c(q). Factor i(d).
4*d*(d - 1)**2*(3*d - 1)/5
Let k be 64 - (31 + 483/15). Factor 12/5 + 14/5*b - 2/5*b**2 - k*b**3.
-2*(b - 2)*(b + 1)*(2*b + 3)/5
Let b(c) be the third derivative of -1/260*c**5 + 1/2340*c**6 + 0 + 14*c**2 - 5/78*c**4 + 0*c + 1/6*c**3. Let l(a) be the first derivative of b(a). Factor l(i).
2*(i - 5)*(i + 2)/13
Suppose -1359*m + 3616*m = 0. Let y be 1/(-2) + (2 - 1). Let -1/2*n + 1/2*n**4 + m - 1/2*n**2 + y*n**3 = 0. What is n?
-1, 0, 1
Suppose 0 = 10*l - 44 + 24. Factor -5*j - 3*j - 2*j**l + 6 + 20*j - 16*j.
-2*(j - 1)*(j + 3)
Suppose 5*v - 2774 = 3*x + 4*v, 2*x + 1856 = 4*v. Let u be 2/14 - (13800/x)/10. Factor -u - 6/11*p**2 - 6/11*p**3 + 30/11*p.
-6*(p - 1)**2*(p + 3)/11
Find z such that -57*z**3 + 111*z + 39*z**3 - 1243*z - 564*z**2 + 19*z**3 = 0.
-2, 0, 566
Let -90*w**3 - 27802*w**5 + 48*w + 40*w**2 - 40*w**4 + 27804*w**5 - 13*w + 53*w = 0. What is w?
-2, -1, 0, 1, 22
Let h(q) = -2*q**2 - 14*q - 34. Let a(w) = -w - 5. Suppose 0 = -5*p - 25 + 5. Let k be a(p). Let j(d) = d - 1. Let x(i) = k*h(i) + 2*j(i). Solve x(t) = 0 for t.
-4
Let j be 36*(10 + (-190)/15). Let b be 2*(-8)/(j/45). Factor -27/2*u**5 - 45/2*u**4 + 0*u - 6 + b*u**3 + 45/2*u**2.
-3*(u + 1)**3*(3*u - 2)**2/2
Let q(v) be the second derivative of v**5/60 - v**4/24 - v**3/3 + 3*v**2/2 - 45*v. Let x(h) be the first derivative of q(h). Suppose x(w) = 0. Calculate w.
-1, 2
Let d(a) be the second derivative of 0 - 1/32*a**4 + 1/960*a**6 + 0*a**2 - 9*a + 8/3*a**3 - 1/320*a**5. Let g(x) be the second derivative of d(x). Factor g(p).
3*(p - 2)*(p + 1)/8
Let c(z) be the first derivative of 5*z**4/4 + 1295*z**3 + 7740*z**2 + 15460*z + 11308. Find l, given that c(l) = 0.
-773, -2
Let r(n) = -275*n + 275*n + 17*n**2 - 14*n**2. Let p be r(-1). Factor 20/7*g**2 - 24/7*g - 4/7*g**p + 0.
-4*g*(g - 3)*(g - 2)/7
Let u be 90/135 - ((-35)/(-30)*-5 - -5). Find h such that 0 - 3/2*h**4 + 3/2*h**2 - 3/2*h + u*h**3 = 0.
-1, 0, 1
Let x(j) be the third derivative of -j**5/360 - 19*j**4/72 + 41*j**3/12 + 204*j**2 - 3. Determine g so that x(g) = 0.
-41, 3
Let o(i) be the second derivative of 5/3*i**3 + 153*i + 0*i**2 - 5/12*i**4 + 0. Factor o(j).
-5*j*(j - 2)
Let a = -80359 - -723235/9. Factor 2/9*n**3 - 2/3*n + 0 - a*n**2.
2*n*(n - 3)*(n + 1)/9
Let g(l) = 239*l**3 - l**2 - 2*l - 2. Let h be g(-1). Let s be (4*(-3)/h)/((-17)/(-136)). Let -4/5*k - s*k**2 + 6/5 = 0. Calculate k.
-3, 1
Let g(n) be the first derivative of -n**4/10 - 92*n**3/15 + 47*n**2/5 + 8409. Suppose g(q) = 0. What is q?
-47, 0, 1
Let w = 0 + 4. Factor -8*d**w - 16*d**3 + 13 + 41 + 6*d**4 - 15*d**2 - 21*d**2.
-2*(d - 1)*(d + 3)**3
Let m(a) = 202*a. Let i be m(0). Let l(s) be the first derivative of i*s - 1 + 2/3*s**3 + s**2. Determine k, given that l(k) = 0.
-1, 0
Solve 8/11*c**4 - 238/11*c - 972/11*c**2 + 0 - 78/11*c**3 = 0 for c.
-7, -1/4, 0, 17
Let w = 12/853 - -15270/5971. Let i(n) be the first derivative of -32 - 39/14*n**2 + 8/7*n**3 - 3/28*n**4 + w*n. Factor i(k).
-3*(k - 6)*(k - 1)**2/7
Let c(u) be the third derivative of -1/1140*u**6 - 25/228*u**4 - 1/57*u**5 + 0*u + 117*u**2 + 0 + 0*u**3. Find r, given that c(r) = 0.
-5, 0
Let d be (-10)/(-18) - (54 - (-577115)/(-5445)). Factor 136/11*i - 8/11 - d*i**2.
-2*(17*i - 2)**2/11
Factor -1027*k**3 + 270*k**2 + 2058*k**3 - 1029*k**3.
2*k**2*(k + 135)
Suppose 15 = i + 3*y, -8*i - 46 = -12*i + 2*y. Let b(w) be the first derivative of 0*w + 27 + 4*w**3 - 3/2*w**4 + i*w**2 - 3/5*w**5. Factor b(p).
-3*p*(p - 2)*(p + 2)**2
Let t(h) = -h**3 + h**2 + 8*h + 8. Let p be t(-1). Suppose p*j - 4*y = j + 12, 3*j + 15 = -5*y. Let 0*s + j - 4/5*s**2 = 0. What is s?
0
Let v be 4 + 6 + 10/6 + 76 + -83. Factor v*d**2 - 50 + 2/3*d**3 - 10/3*d.
2*(d - 3)*(d + 5)**2/3
Let y(o) be the second derivative of -o**4/96 + 7*o**3/3 - 327*o**2/16 + 1763*o. Let y(h) = 0. What is h?
3, 109
Let g(n) = 10*n**4 + 140*n**3 - 562*n**2 - 644*n + 12. Let a(h) = -4*h**4 - 56*h**3 + 225*h**2 + 257*h - 5. Let j(k) = 12*a(k) + 5*g(k). Solve j(f) = 0 for f.
-17, -1, 0, 4
Let o(m) = -15*m**2 + 223*m + 82. Let n(q) be the second derivative of -5*q**4/4 + 37*q**3 + 42*q**2 - 22*q. Let u(y) = -4*n(y) + 3*o(y). Factor u(h).
3*(h - 15)*(5*h + 2)
Let c(j) be the third derivative of j**7/1575 + j**6/90 + 37*j**5/450 + j**4/3 + 4*j**3/5 - 13*j**2 + 14. Factor c(a).
2*(a + 2)**2*(a + 3)**2/15
Let k(z) be the first derivative of 5/2*z**2 + 0*z - 92 + 2*z**3 + 1/4*z**4. Find s, given that k(s) = 0.
-5, -1, 0
Let z(x) be the third derivative of x**5/40 + 15*x**4/8 + 14*x**3 - 6995*x**2. Factor z(g).
3*(g + 2)*(g + 28)/2
Suppose 905*m - 2553 = 162. Find x such that 50/3*x**m - 25/3*x + 5/3 - 25/3*x**5 + 5/3*x**4 - 10/3*x**2 = 0.
-1, 1/5, 1
Let v = 237 - 83. Suppose 6*j + v = 244. Let -6*y**2 - j*y + 8*y**2 + 3*y**2 = 0. What is y?
0, 3
Let t be (1/5)/((-9)/((-155610)/1090)). Let o = t + 3/109. Find w, given that -12/5*w**2 + 4/5*w**4 + 16/5*w - 8/5*w**3 + o = 0.
-1, 2
Let n = -30 + 36. Let w be -1*(1 - 13)*n/4. Let -18*h**4 + 16*h**2 - 34*h**4 - 2*h**5 - w*h**5 - 16*h**3 = 0. What is h?
-2, -1, 0, 2/5
Let l(s) be the first derivative of s**6/120 + 2*s**5/15 + 7*s**4/24 + s**2/2 - 52. Let p(g) be the second derivative of l(g). Factor p(r).
r*(r + 1)*(r + 7)
Suppose -34*u + 29*u - d = 0, 0 = 4*u - 5*d - 58. Factor 0*l + 0 + 4/7*l**3 + 0*l**u.
4*l**3/7
Let b(i) be the first derivative of -i**3/15 + 59*i**2/10 + 12*i - 1881. Factor b(a).
-(a - 60)*(a + 1)/5
Let o(p) be the second derivative of -12*p - 87*p**2 - 1/4*p**4 + 59/2*p**3 + 5. Factor o(i).
-3*(i - 58)*(i - 1)
Let a(w) be the third derivative of -w**6/600 - w**5/300 + 11*w**4/30 - 16*w**3/5 + 24*w**2 - 29. Factor a(j).
-(j - 4)*(j - 3)*(j + 8)/5
Let k(u) be the first derivative of u**3 + 3075*u**2 + 3151875*u + 2005. Let k(h) = 0. Calculate h.
-1025
Let i(w) be the first derivative of 8/39*w**3 + 8/13*w - 17/13*w**2 + 11. Factor i(t).
2*(t - 4)*(4*t - 1)/13
Let y be (-345)/23*1/(-3). Let 2*c**5 + 590*c**3 - 14*c**y + 56*c**2 - 554*c**3 - 123*c**4 + 43*c**4 = 0. What is c?
-7, -2/3, 0, 1
Let d(a) be the first derivative of 5*a**4/4 - 35*a**3/3 - 85*a**2/2 - 45*a - 1436. Let d(j) = 0. Calculate j.
-1, 9
Let a = 5 + -2. Suppose -g + 0 = -2*x + 1, a*x = 12. Factor g - 3*b + b**3 - 3*b**2 - 4 - 2*b**3 + 4*b**3.
3*(b - 1)**2*(b + 1)
Let m be ((-2322)/180)/(-43)*(-4 + (-7 - -19)). Factor 16/5*r**2 - m*r + 0 - 4/5*r**3.
-4*r*(r - 3)*(r - 1)/5
Factor -48 + 80*a + 4*a**3 + 96 + 83*a**2 - 47*a**2.
4*(a + 1)*(a + 2)*(a + 6)
Let c(a) = -2*a + 12. Let h be c(-6). Factor h*n + 21*n**2 - 3*n**4 - 2*n**2 + 9 - n**2.
-3*(n - 3)*(n + 1)**3
Let v be (12/(-10))/(6/(-15)).