vative of h**4/3 + 30*h**3 + 328*h**2 - 2*h + 2603. Suppose s(i) = 0. What is i?
-41, -4
Solve -1/7*r + 1/7*r**3 - 552/7*r**2 + 552/7 = 0.
-1, 1, 552
Let v be -424 + (-3)/3 + 3. Let j = 847/2 + v. Factor -3/4*s**3 + 9/4*s**2 - j*s + 0.
-3*s*(s - 2)*(s - 1)/4
Let c(i) be the third derivative of -81*i**8/28 - 72*i**7/7 + 11*i**6/10 + 238*i**5/15 - 14*i**4 + 16*i**3/3 - 105*i**2 - 5*i. Solve c(p) = 0 for p.
-2, -1, 2/9, 1/3
Let 0 + 15*q**2 - 543*q - 5*q**3 - 581*q + 1264*q + 0 = 0. Calculate q.
-4, 0, 7
Factor -8640*r + 25600/3 - 1/3*r**3 + 107*r**2.
-(r - 160)**2*(r - 1)/3
Let y(o) be the third derivative of -o**5/300 - o**4/4 - 27*o**3/10 + 204*o**2. Factor y(u).
-(u + 3)*(u + 27)/5
Suppose 50*v**2 + 8 - 52/3*v**3 + 226/3*v = 0. Calculate v.
-1, -3/26, 4
Determine w, given that 342910*w**4 - 1455*w**3 - 1422*w - 12*w**5 - 2865*w**2 - 1071*w - 343207*w**4 - 798 = 0.
-19, -2, -7/4, -1
Suppose -4*f + 21*x - 24*x + 309 = 0, -f = -4*x - 63. Let t be (2/4)/(f/100). Factor 0 + 1/3*p + t*p**2 + 1/3*p**3.
p*(p + 1)**2/3
Suppose 0 = 33*a - 38*a + 10. Let j be (-13)/39*(a - 3). Determine w so that -2/3*w**4 - j*w + 0 + 2/3*w**2 + 1/3*w**3 = 0.
-1, 0, 1/2, 1
Let o = 247723/330308 + 2/82577. Suppose 3*a = 6*a - 12. Let -1/2 - 9/4*b**2 + 9/4*b - 1/4*b**3 + o*b**a = 0. What is b?
-2, 1/3, 1
Determine n, given that 73/4*n**2 - 75/2*n + 163/4*n**3 - 7/2*n**4 - 18 = 0.
-6/7, -1/2, 1, 12
Let k(h) be the second derivative of -19/60*h**6 - 5/14*h**7 + 0*h**3 + 1/12*h**4 + 0*h**2 + 29*h + 13/40*h**5 + 0. Determine g so that k(g) = 0.
-1, -2/15, 0, 1/2
Let x(s) = 5*s**2 - 8*s + 6. Let k be x(2). Solve -5*h - 18*h**3 + 21*h - 27*h**2 - k*h + 15*h**4 = 0 for h.
-1, 0, 1/5, 2
Let 6 - 3/2*y**4 + 3/2*y**2 - 3/2*y**5 + 15/2*y**3 - 12*y = 0. What is y?
-2, 1
Let j(r) = 11*r**3 - 115*r**2 + 181*r + 286. Let h(l) = -10*l**3 + 114*l**2 - 182*l - 288. Let b(m) = 7*h(m) + 6*j(m). Factor b(s).
-4*(s - 25)*(s - 3)*(s + 1)
Suppose 8*s = -6*s + 70. Let a(n) = -n**2 - 3*n - 12. Let h(c) = c**2 + 5*c + 14. Let o(m) = s*a(m) + 4*h(m). What is j in o(j) = 0?
1, 4
Let u(y) = -54*y**2 + 25*y + 56. Let i be u(-3). Let m = i + 507. Suppose -90 + 12*b - 2/5*b**m = 0. What is b?
15
Let a(g) = -1394*g**3 - 6 + 39*g - 1390*g**3 - 3*g**2 + 2783*g**3. Let c be a(-8). Solve 0 - 5/2*b**4 + 0*b - 7/2*b**3 - b**c = 0.
-1, -2/5, 0
Let n(u) = u**3 - 22*u**2 - u - 2. Let m(b) = 5*b**3 + 436*b**2 + 32715*b + 151284. Let o(c) = 2*m(c) - 6*n(c). Factor o(i).
4*(i + 5)*(i + 123)**2
Let k(x) be the first derivative of x**7/210 + x**6/30 + x**5/60 - x**4/4 + 21*x**2/2 - x + 89. Let l(g) be the second derivative of k(g). Factor l(n).
n*(n - 1)*(n + 2)*(n + 3)
Let z(n) = -n**3 - n**2 + 36. Let s be z(0). Let u = s + -34. Factor 44*i**u - 25 + 40 - 23 + 36*i.
4*(i + 1)*(11*i - 2)
What is o in 108 + 292/3*o**2 - 284*o + 8/3*o**4 + 76*o**3 = 0?
-27, -3, 1/2, 1
Let q(z) = 4004*z + 4068. Let r(y) = y**2 - 16015*y - 16304. Let b(a) = -9*q(a) - 2*r(a). Factor b(w).
-2*(w + 1)*(w + 2002)
Let n(h) = 25929*h - 25925. Let r be n(1). Find d, given that 28/5*d - r - 8/5*d**2 = 0.
1, 5/2
Let h be 20/(4 + (0 - 2)). Let r(i) = -2*i + 22. Let c be r(h). Factor 3*k**3 + 2*k + k + 2*k**2 + k**c + 3*k**2.
3*k*(k + 1)**2
Let h = -2128744/7651 - 60/1093. Let z = -276 - h. Factor 0 + 0*v**2 + z*v - 4/7*v**3.
-4*v*(v - 2)*(v + 2)/7
Factor -8007661 + 2*s**3 - 12*s**2 + 2*s**4 + 8007661.
2*s**2*(s - 2)*(s + 3)
Let u(b) be the second derivative of b**9/3024 + b**8/672 - b**7/126 - b**6/18 - 51*b**4/4 - 268*b. Let y(v) be the third derivative of u(v). Factor y(f).
5*f*(f - 2)*(f + 2)**2
Solve -82*g**3 - 8355*g**2 - 27144*g - 9*g**5 - 156754 + 148642 + 343*g**3 + 159*g**4 = 0.
-4, -1/3, 13
Let a(h) be the third derivative of -7*h**6/96 - h**5/16 + 15*h**4/2 - 50*h**3/3 - 6*h**2 + 109*h. Solve a(x) = 0 for x.
-5, 4/7, 4
Suppose -85*o + 93*o - 32 = 0. Find l, given that o + 51*l**4 + 15*l**2 + 219*l**4 + 60*l + 19*l**4 + 142*l**2 - 510*l**3 = 0.
-2/17, 1
Let m(n) = 11*n**2 + 2*n + 7. Let t(y) be the first derivative of 7*y**3/3 + y**2 + 5*y + 13. Let p(u) = 5*m(u) - 7*t(u). Factor p(k).
2*k*(3*k - 2)
Let j(s) = -8*s**5 - 11*s**4 - 6*s**3 + 14*s - 22. Let u(t) = 3*t**5 + 4*t**4 + 2*t**3 - 5*t + 8. Let a(l) = 8*j(l) + 22*u(l). Factor a(b).
2*b*(b - 1)**2*(b + 1)**2
Factor 311*n**3 - 3*n**4 - 81*n**3 + 3*n**2 + 2*n - n**5 - 231*n**3.
-n*(n - 1)*(n + 1)**2*(n + 2)
Suppose 6 = -2*t + 4*t - 2*v, -3*t - v = -13. Factor 5*z**5 - 10*z**4 + 35*z - 10*z**2 - 40*z**3 - z**3 + 20 - 3*z**3 + t*z**3.
5*(z - 4)*(z - 1)*(z + 1)**3
Let n(g) be the third derivative of 18*g**5/35 - 443*g**4/56 - 51*g**3/7 + 2912*g**2. Factor n(f).
3*(8*f - 51)*(9*f + 2)/7
Let h = 24/45349 + 543636/1043027. Determine a so that 24/23*a**2 - h*a**3 - 16/23*a + 2/23*a**4 + 0 = 0.
0, 2
Let d(u) be the second derivative of 64*u**7/35 - 16*u**6 - 1101*u**5/50 + 413*u**4/20 + 78*u**3/5 - 189*u**2/10 - 1615*u. Determine g so that d(g) = 0.
-1, -1/2, 3/8, 7
Suppose 12*d - 13*d + 1 = 0, -4*c = -2*d - 10. Let m(y) be the first derivative of -6 + 0*y - 16/3*y**c - 2*y**2. Factor m(s).
-4*s*(4*s + 1)
Determine j so that -120/7*j - 2/7*j**2 + 512/7 = 0.
-64, 4
Let d(h) = h**3 - 8*h**2 - 6*h - 24. Let p be d(9). Solve -5*m**3 - 2*m**3 + 21*m**2 - 24 + 4*m**p + 51 + 51*m = 0.
-1, 9
Let n(f) = 65*f**2 + 44575*f + 24819920. Let t(p) = 17*p**2 + 11144*p + 6204980. Let y(s) = 4*n(s) - 15*t(s). Find q such that y(q) = 0.
-1114
Solve -1/2*w**3 - 185856*w + 21807104 + 528*w**2 = 0 for w.
352
Let b(p) = 13*p**2 - 30176*p + 45481272. Let z(u) = u**2 - 2*u - 1. Let r(y) = b(y) - 8*z(y). Determine w, given that r(w) = 0.
3016
Let y be ((-126)/(-49))/(((-4)/(-7))/2). Factor -59 - 36*m**2 - 41 - 10 - y*m**2 - 155*m.
-5*(m + 1)*(9*m + 22)
Let m(v) be the first derivative of v**4/2 - 74*v**3 + 108*v**2 + 440*v - 2857. Factor m(y).
2*(y - 110)*(y - 2)*(y + 1)
Let p be -1*(-13 - (4 - 1)). Suppose 0*g = p*g - 64. What is q in 0*q + 2*q**g - 4/3*q**3 + 0 - 2/3*q**5 + 0*q**2 = 0?
0, 1, 2
Let v(c) = 3*c**3 - 60*c**2 - 3*c + 126. Let s(z) = -3*z**3 + 64*z**2 + 3*z - 119. Let a(f) = 6*s(f) + 5*v(f). Factor a(w).
-3*(w - 28)*(w - 1)*(w + 1)
Let b be 51 + 890/(-20) + 1. Suppose -6*x**2 - 3/2*x**3 + 0 + b*x = 0. Calculate x.
-5, 0, 1
Let w be (-6 - -1) + 2 + 69/49. Let p = 586/245 + w. Suppose -p*t + 4/5*t**3 - 2/5*t**4 + 2/5*t**2 + 0 = 0. What is t?
-1, 0, 1, 2
Suppose 33*t - 30*t = 36. Factor 4*w**2 - 12 + t*w + 10*w - 30*w.
4*(w - 3)*(w + 1)
Let w(f) be the third derivative of -1/3*f**3 + 0*f + 0 + 29*f**2 + 1/4320*f**6 + 1/720*f**5 + 0*f**4. Let m(u) be the first derivative of w(u). Factor m(i).
i*(i + 2)/12
Solve 4940/11*g**2 + 50/11*g**3 + 3928/11*g + 784/11 = 0 for g.
-98, -2/5
Let a(x) be the second derivative of x**6/20 - 549*x**5/4 + 837225*x**4/8 + 148*x - 10. What is k in a(k) = 0?
0, 915
Let h(o) = -o + 344. Let k be h(-7). Let a = -349 + k. Suppose 4/5 + 4/5*c + 1/5*c**a = 0. What is c?
-2
Let n(p) = -340*p**2 + 2043*p - 16. Let z be n(6). Factor -10/7*j + 2/7*j**z + 8/7.
2*(j - 4)*(j - 1)/7
Let t(z) be the second derivative of -1/9*z**3 + 0*z**2 + 0 - 52*z + 1/120*z**5 + 1/6*z**4 - 1/60*z**6. Factor t(k).
-k*(k - 2)*(k + 2)*(3*k - 1)/6
Let c be ((-2)/(-16))/(1253/1432). Let s(d) be the second derivative of 0 + 1/10*d**5 - 7*d - 2/7*d**2 + c*d**3 + 2/7*d**4. Factor s(r).
2*(r + 1)**2*(7*r - 2)/7
Let o(v) be the third derivative of -1/336*v**8 + 14*v**2 - v - 7/60*v**5 - 3/40*v**6 - 1/12*v**4 + 0*v**3 - 1/42*v**7 + 0. Factor o(j).
-j*(j + 1)**3*(j + 2)
Let c(j) be the third derivative of -j**6/60 + 2*j**5/15 + j**4 - 83*j**2 - 25*j + 1. Suppose c(d) = 0. Calculate d.
-2, 0, 6
Suppose m - 258*q + 2 = -256*q, 4*q - 20 = 0. Factor 2/5*k**4 - 24/5 - m*k + 4/5*k**3 - 14/5*k**2.
2*(k - 3)*(k + 1)*(k + 2)**2/5
Suppose -3*s - n = -21, -64*s + 66*s + 3*n - 49 = 0. Determine b so that 3/2 + 0*b**s + 1/4*b**3 - 7/4*b = 0.
-3, 1, 2
Let j be 69200/105 + 18/63. Let t = -659 + j. Factor -t*o + 0 + 1/6*o**2.
o*(o - 2)/6
Let o(y) be the first derivative of -12*y - 4*y**3 + 1/2*y**4 + 11*y**2 - 16. Let o(g) = 0. What is g?
1, 2, 3
Let 29*j**2 + 156*j - 6819*j**4 - 145*j**2 - 72 + 36*j**3 + 6815*j**4 = 0. What is j?
1, 2, 3
Suppose 10944 = -21193*d + 21385*d. Solve 3/2*a**5 + 147/8*a**4 - 39/8*a**2 + d*a**3 - 27/2 - 117/