tive of p(f). Factor b(y).
4*y*(y - 3)/5
Factor 0*b - 104882/3*b**2 + 0 + 2/3*b**5 + 914/3*b**4 + 103966/3*b**3.
2*b**2*(b - 1)*(b + 229)**2/3
Let y(a) be the third derivative of 2*a**7/35 + 13*a**6/8 + 4*a**5/5 + 707*a**2. Suppose y(t) = 0. Calculate t.
-16, -1/4, 0
Let m(g) be the second derivative of -g**4/6 - 1010*g**3/3 - 255025*g**2 + 2043*g. Let m(r) = 0. What is r?
-505
Let f = -348055 - -348060. Solve -2/5*n**f + 16/5*n - 14/5*n**3 + 2*n**4 - 2/5*n**2 - 8/5 = 0.
-1, 1, 2
Let l be (0 - -1)*(-28)/(-36). Let f = -1542 - -4630/3. Solve 4/9 + f*d - l*d**2 = 0 for d.
-2/7, 2
Let 2797/4*h - 699/2 + 1/4*h**3 - 350*h**2 = 0. Calculate h.
1, 1398
Let g(b) = 10*b - 1. Let t(r) = -2*r**2 - 4096*r - 2138316. Let k(a) = -4*g(a) + t(a). Suppose k(z) = 0. Calculate z.
-1034
Let q be (-12)/(-16) - (134/8 + -18). Let w(y) be the second derivative of 0*y**q + 0 - 1/30*y**4 + 4*y - 4/15*y**3. Factor w(d).
-2*d*(d + 4)/5
Let g = 2/151 - -2708/755. Let o be (-8 - 1/(40/(-272))) + (3 - -3). Factor -o*t**2 - g - 3/5*t**3 - 39/5*t.
-3*(t + 1)**2*(t + 6)/5
Let d be ((-756)/8)/(-9)*((-15120)/198)/(-10). Let -2/11*p**2 - d + 84/11*p = 0. What is p?
21
Let k(z) be the second derivative of 0*z**3 - 105*z + 1/30*z**6 + 0*z**2 - 1/168*z**7 + 7/24*z**4 + 0 + 19/80*z**5. Determine h, given that k(h) = 0.
-2, -1, 0, 7
Factor -132 + o**3 - 13*o**2 - 34*o**2 + 72*o**2 + 708 + 208*o.
(o + 8)**2*(o + 9)
Let l = 384221/2367 - 845/263. Let a = 160 - l. Determine i so that 0*i - a*i**2 - 2/3*i**3 + 0 + 2/9*i**4 = 0.
-1, 0, 4
Suppose -40*c + 132 + 308 = 0. Find p, given that -5*p**3 - 327*p + c + 342*p + 79 - 20*p**2 = 0.
-3, 2
Let u(d) = -2*d**3 - 4*d**2 + 51*d + 18. Let z be u(6). Let s be 56/z*(-1)/2*4. Determine q so that 0 + s*q + 2/9*q**2 = 0.
-2, 0
Let v(i) be the second derivative of -i**5/20 - 7*i**4/8 + 149*i**2/2 - 110*i. Let l(b) be the first derivative of v(b). Suppose l(o) = 0. Calculate o.
-7, 0
Let y = 1082448 + -1082439. Factor -y*d**2 - 24/5 - 1/5*d**4 - 12/5*d**3 - 58/5*d.
-(d + 1)**2*(d + 4)*(d + 6)/5
Let a(i) be the second derivative of i**7/126 - i**6/45 - 13*i**5/30 - 14*i**4/9 - 47*i**3/18 - 7*i**2/3 - 764*i. Suppose a(l) = 0. Calculate l.
-2, -1, 7
Find x such that -2952482*x - 5*x**3 + 5804*x**2 + 931*x**2 - 71533*x + 452594245 = 0.
449
Let n(c) be the second derivative of -c**7/168 - c**6/36 + 5*c**5/24 + 5*c**4/4 + 92*c**3/3 + 128*c. Let b(o) be the second derivative of n(o). Factor b(y).
-5*(y - 2)*(y + 1)*(y + 3)
Let s(r) be the first derivative of -6*r**5/25 - 23*r**4/10 - 28*r**3/15 + 108*r**2/5 + 144*r/5 - 1071. Determine c, given that s(c) = 0.
-6, -3, -2/3, 2
Let x be -3 + 3/9 + (-7220)/(-1083). Factor 8/3*o**x + 8/3 + 28/3*o + 25/3*o**3 + 38/3*o**2 + 1/3*o**5.
(o + 1)**2*(o + 2)**3/3
Let m(k) be the second derivative of -k**5/5 - 2*k**4/3 + 10*k**3/3 + 12*k**2 - 9*k + 9. Suppose m(o) = 0. Calculate o.
-3, -1, 2
Suppose 5*k + o = -4*o - 810, 0 = 5*k - 2*o + 838. Let q = -118 - k. Factor -26*w**3 + 5*w + 11*w + 46*w**3 - q*w**2.
4*w*(w - 2)*(5*w - 2)
Let r(w) be the second derivative of 0*w**3 + 1/20*w**5 + 0*w**4 + 15*w + 0*w**2 + 0. Let r(p) = 0. Calculate p.
0
Let l(d) be the second derivative of d**7/42 - d**6/10 - 3*d**5/4 - 17*d**4/12 - d**3 - d - 27. Suppose l(n) = 0. What is n?
-1, 0, 6
Suppose -856/5*k**3 + 568*k**2 - 1100 - 4/5*k**5 - 340*k + 20*k**4 = 0. What is k?
-1, 5, 11
Let n = 280 - 277. Suppose 0*u = 3*u + 3*d + 3, -n*u + 21 = -3*d. Factor 4*m**2 + 0 + 17/4*m**u + m + 5/4*m**4.
m*(m + 1)*(m + 2)*(5*m + 2)/4
Suppose -t + 556 + 995 = 3*x, 2*x - 2*t - 1042 = 0. Let u = -6724/13 + x. Suppose 2/13*o**3 - 4/13 - 8/13*o**2 + u*o = 0. Calculate o.
1, 2
Let u be (-7 + 102/15)/(288/(-4800)). Solve 7/3*w - 1/3*w**2 - u = 0.
2, 5
Let v = 9/68 - -1566/17. Let w = -86 + v. Factor -w*g**4 - 9/4*g**5 + 0 - 3/4*g**2 + 1/2*g - 21/4*g**3.
-g*(g + 1)**3*(9*g - 2)/4
Let q(r) = -28*r**3 + 174*r**2 - 757*r + 509. Let o(c) = 10*c**3 - 58*c**2 + 252*c - 168. Let n(x) = 17*o(x) + 6*q(x). Factor n(h).
2*(h - 3)*(h - 1)*(h + 33)
Let n = -756491/5 - -151299. Suppose -14/5*a**2 + 8/5*a + 0 - n*a**3 = 0. What is a?
-4, 0, 1/2
Factor 2834*v**3 - 1425*v**3 - 1410*v**3 + 218*v**2 - 872 + 4*v.
-(v - 218)*(v - 2)*(v + 2)
Let u(l) be the third derivative of 0*l**4 - 43/6*l**3 - 1/30*l**5 + 0*l + 0 - 32*l**2 - 1/900*l**6. Let c(k) be the first derivative of u(k). Factor c(g).
-2*g*(g + 10)/5
Let k(z) be the third derivative of -z**5/540 + 14*z**4/27 + 833*z**3/54 - 32*z**2 - z + 67. Determine t, given that k(t) = 0.
-7, 119
Factor -1/4*v**2 + 29/2*v - 57/4.
-(v - 57)*(v - 1)/4
Factor -71*z**2 + 679728 - 69*z**2 - 2298*z + 143*z**2 - 558*z.
3*(z - 476)**2
Suppose -67*o - 30 = -70*o. Factor 4*w**2 - o + 62 - 26*w + 36*w + 46*w.
4*(w + 1)*(w + 13)
Let s(p) = p - 24. Let r be s(27). Determine d, given that 60*d + 120 + r*d**3 + 10*d**2 - 5*d**4 + 167 - 18*d**3 - 247 = 0.
-2, -1, 2
Let p(z) be the second derivative of z**4/4 - 25*z**3/6 - 30*z**2 - 84*z. Let b(h) = 2*h**2 - 13*h - 31. Let i(t) = 5*b(t) - 3*p(t). Factor i(n).
(n + 5)**2
Let t(w) be the second derivative of w**8/1344 - 5*w**7/84 + 4*w**6/3 + 64*w**5/3 - 20*w**4/3 + 161*w. Let y(s) be the third derivative of t(s). Factor y(n).
5*(n - 16)**2*(n + 2)
Let j(q) be the third derivative of q**5/240 - 979*q**4/48 + 958441*q**3/24 - 130*q**2 + 2*q. Factor j(a).
(a - 979)**2/4
Let -6*n + 2/7*n**2 + 216/7 = 0. What is n?
9, 12
Let r(n) = -n**4 + 15*n**3 - 15*n**2 + 5*n. Let k(d) = 2*d**4 - 28*d**3 + 30*d**2 - 11*d. Let l(u) = -4*k(u) - 7*r(u). Factor l(g).
-g*(g - 3)**2*(g - 1)
Suppose 0 = k + 3*j + j - 3, -3*j = 0. What is x in 2*x**4 + 12*x**k + 70*x**2 - 12*x - 24*x**3 - 48*x**2 = 0?
0, 1, 2, 3
Let q(n) be the third derivative of -1/2*n**5 + 1/7*n**7 + 0*n**3 + 0*n - 5/3*n**4 + 89*n**2 + 0 + 5/336*n**8 + 7/24*n**6. Solve q(k) = 0.
-4, -2, -1, 0, 1
Let l(k) be the third derivative of -k**5/120 + 31*k**4/24 + 32*k**3/3 - 841*k**2 + 2. Factor l(z).
-(z - 64)*(z + 2)/2
Let q = -264/31 - -11119/1302. Let y(b) be the second derivative of 0 + 15*b - 1/14*b**2 + 1/140*b**5 + 1/84*b**4 - q*b**3. Solve y(x) = 0 for x.
-1, 1
Suppose -5*w + c = -12, 3*w - 2 = -c + 2. Factor 28*s**w + 16 + 5 + 45*s - s**2 + 3*s**3.
3*(s + 1)**2*(s + 7)
Let d(i) = 6*i**2 + 141*i - 84. Suppose -3*c = 5 - 20. Let u(h) = -6*h**2 - 141*h + 82. Let g(o) = c*d(o) + 6*u(o). Factor g(t).
-3*(t + 24)*(2*t - 1)
Let u(j) be the first derivative of 4/5*j**5 + 4*j**4 + 0*j + 136 + 16/3*j**3 + 0*j**2. Solve u(x) = 0.
-2, 0
Let b(w) be the first derivative of 3*w**5/5 - 495*w**4/4 + 482*w**3 + 972*w**2 - 6227. Let b(z) = 0. What is z?
-1, 0, 4, 162
Let x(w) be the second derivative of -w**5/10 - 65*w**4/6 - 575*w**3/3 - 1375*w**2 - 68*w + 4. Solve x(j) = 0 for j.
-55, -5
Let g be (-392)/(-28) + -17 + 1*3 - (-4)/2. Suppose 16/11*t + 2/11*t**g + 14/11 = 0. What is t?
-7, -1
Let q(p) be the second derivative of -p**4/3 - 4808*p**3/3 - 2889608*p**2 - 1508*p. Let q(a) = 0. What is a?
-1202
Let z be ((-360)/(-54)*-3)/(-2). Suppose 5*c - 71 - 194 = 0. Let -k**2 - 60*k + 120*k - z - c*k = 0. Calculate k.
2, 5
Let d be (-1 + 9)*((-2)/8)/(-1). Factor 4*j**d - 6102*j - 4*j**3 + 6102*j.
-4*j**2*(j - 1)
Let a be -3 + 42/(-192) + 3. Let z = 5/32 - a. Factor -3/4*t**2 + 0*t + z*t**3 + 3/8*t**4 + 0.
3*t**2*(t - 1)*(t + 2)/8
Let p = -1210327/21 + 57635. Factor -10/21*m - 2/21*m**3 - p*m**2 - 4/21.
-2*(m + 1)**2*(m + 2)/21
Suppose -3*g = 15 - 12. Let f be (-1 - g)*(-28 + 29). Factor -5 - 9*r**2 - 6*r + 5 + f.
-3*r*(3*r + 2)
Factor -324/5 + 2/5*x**2 + 158/5*x.
2*(x - 2)*(x + 81)/5
Let s(f) be the first derivative of f**4/5 - 6*f**3/5 - 53*f**2/5 - 48*f/5 - 887. Solve s(p) = 0.
-3, -1/2, 8
Factor 129/2 + 131/4*r + 1/4*r**2.
(r + 2)*(r + 129)/4
Let z(w) = 29*w**3 + 14768*w**2 + 1516187*w + 336242. Let j(u) = -14*u**3 - 7384*u**2 - 758094*u - 168124. Let x(a) = -7*j(a) - 4*z(a). Factor x(n).
-2*(n + 205)**2*(9*n + 2)
Let q(x) be the third derivative of -x**6/480 - 47*x**5/240 + 9*x**4/16 + 12*x**3 + 2*x**2 - 124*x - 2. Factor q(r).
-(r - 3)*(r + 2)*(r + 48)/4
Let j(c) be the second derivative of -10/3*c**4 - 7*c**5 + 9 + 2*c + 0*c**3 + 1/3*c**6 + 5/6*c**7 + 0*c**2. Determine b, given that j(b) = 0.
-2, -2/7, 0, 2
Suppose 0 = 2*i, i - 5 + 2 = -l. Factor 20*h**2 - 6*h - 24*h