u). Factor k(m).
4*(m - 219)*(m + 1)**2
Suppose -717 - 2231 = -11*d. Find v such that d*v**2 - 3515*v**5 - 43*v**3 - 620*v**4 + 599*v**3 - 224*v + 3615*v**5 - 80 = 0.
-2/5, 1, 5
What is s in 11*s**4 + 255*s**4 - s**4 - 39037*s**2 + 25215 - 63243*s**2 + 4*s**5 + 1602*s**3 + 75194*s = 0?
-41, -1/4, 1, 15
Let o(m) = 16*m**3 - 180*m**2 + 176*m + 427. Let v(f) = -3*f**3 + 36*f**2 - 35*f - 84. Let h(z) = -2*o(z) - 11*v(z). Solve h(a) = 0.
-1, 2, 35
Let n = -8/4533 + 4565/18132. Suppose 43*v - 3 = 42*v. Determine s, given that -3/2 - 1/4*s**v - n*s + s**2 = 0.
-1, 2, 3
Let a(g) = g**3 - 24*g**2 - 141*g + 2323. Let v be a(26). Factor 33/2*x - v - 3/2*x**3 - 6*x**2.
-3*(x - 1)**2*(x + 6)/2
Solve 24/5 + 47/10*s - 1/10*s**2 = 0.
-1, 48
Let u(y) = 10*y + 74. Let p be u(-7). Suppose -19*t = p*t - 46. Factor 0 + 4/5*k + 2/5*k**t.
2*k*(k + 2)/5
Let g(i) = 24*i**2 - 12402*i + 9597609. Let f(b) = 10*b**2 - 6200*b + 4798804. Let m(a) = 5*f(a) - 2*g(a). Find j such that m(j) = 0.
1549
Let u(h) be the second derivative of h**7/231 - 2*h**6/33 + 8*h**5/55 + 19*h**4/33 - 17*h**3/33 - 28*h**2/11 + 370*h + 16. What is p in u(p) = 0?
-1, 1, 4, 7
Let o(x) be the first derivative of 2*x**5/115 + x**4/23 - 38*x**3/69 - 68*x**2/23 - 120*x/23 - 183. What is g in o(g) = 0?
-3, -2, 5
Let h(t) be the second derivative of -t**4/18 + 106*t**3/9 - 35*t**2 - 477*t. Factor h(s).
-2*(s - 105)*(s - 1)/3
Let x be (20/(-35))/(28/(-294)). Let j(q) be the third derivative of 0*q - x*q**2 + 1/24*q**3 - 1/32*q**4 + 0 - 1/480*q**6 + 1/80*q**5. Let j(p) = 0. What is p?
1
Let y(a) be the third derivative of -263/150*a**5 - 265*a**2 + 0 - 10*a**4 + 2/25*a**6 - 1/1050*a**7 - 125/6*a**3 + 0*a. Factor y(b).
-(b - 25)**2*(b + 1)**2/5
Factor -3*g**2 - 1690 + 817 - 43*g + 750 + 169*g.
-3*(g - 41)*(g - 1)
Let q(y) be the third derivative of -1/3*y**4 - 1/210*y**5 - 28/3*y**3 - 72*y**2 + 0 + 0*y. Find m such that q(m) = 0.
-14
Suppose 2*w + 6*w = -6*w. Let w*c**4 + 3*c**5 - 16*c + 13*c**3 + 16*c - 10*c**3 + 6*c**4 = 0. What is c?
-1, 0
Let x(f) = 12*f**2 + 38*f - 11. Let v be x(-5). Let r be 104/78*(v/24 + -3). Factor 0 + 3/4*m**3 - 9/4*m - r*m**2.
3*m*(m - 3)*(m + 1)/4
Let q = 4302 - 4299. Let n(o) be the third derivative of 0 + 0*o**q + 0*o - 2*o**2 + 1/12*o**5 + 5/24*o**4. Factor n(p).
5*p*(p + 1)
Let s(n) = -3*n**3 + 105*n**2 + 1025*n - 54. Let q be s(-8). Factor -4/3 + 2/3*x**5 - 8/3*x**3 + 0*x**4 + q*x + 4/3*x**2.
2*(x - 1)**3*(x + 1)*(x + 2)/3
Let m(l) = -64*l + 199. Let p be m(3). Let b(n) be the third derivative of 0 - 5*n**2 + 1/60*n**5 + 0*n**3 + 0*n + 0*n**4 + 1/210*n**p + 1/60*n**6. Factor b(r).
r**2*(r + 1)**2
Let o(z) = 168*z**2 - 122*z + 15. Let l(q) = 836*q**2 - 608*q + 76. Let n(p) = 3*l(p) - 16*o(p). What is d in n(d) = 0?
1/9, 3/5
Let -64/9 + 28/9*b + 2/9*b**2 = 0. What is b?
-16, 2
Let a(p) be the third derivative of 3 - 38*p**2 - 13/15*p**5 + 1/30*p**6 + 0*p + 0*p**3 - 7/3*p**4. Solve a(i) = 0.
-1, 0, 14
Solve -1051*t**3 + 2111*t**3 - 1065*t**3 + 7755*t - 3880 - 3870*t**2 = 0.
-776, 1
Let w be (-1 - (2 + -1))*102/4. Let v = -40 - w. Suppose 156 - 3*p**3 - 81*p + 16*p**2 + v*p**2 - 75 = 0. Calculate p.
3
Suppose -3*i = s - 6, 3*i - s = -i + 8. Solve 6*k**4 + i*k + 4*k + 2 - 3*k**4 - 5 - 6*k**3 = 0.
-1, 1
Factor -250 + 10*f**2 + 10*f - 2/5*f**3.
-2*(f - 25)*(f - 5)*(f + 5)/5
Let z(r) = -8*r - 8. Let l(q) = -q**2 + 8*q + 8. Let k = -166 - -160. Let b(j) = k*z(j) - 4*l(j). Factor b(s).
4*(s + 2)**2
Let a(q) be the third derivative of 39 - 9/80*q**5 + 1/480*q**6 + 37/48*q**4 + 0*q - q**2 - 2*q**3. Factor a(z).
(z - 24)*(z - 2)*(z - 1)/4
Determine d, given that -572/5*d**3 - 30*d**2 + 808/5*d + 136/5 - 12/5*d**5 + 238/5*d**4 = 0.
-1, -1/6, 2, 17
Let t(h) be the first derivative of -2/5*h**5 + 21296*h - 9196*h**2 - 924*h**3 - 65/2*h**4 - 1. Factor t(o).
-2*(o - 1)*(o + 22)**3
Let h be (-22 + 1316/42)/((-4)/30). Let n be ((-4)/(-42) - 0)/((-15)/h). Determine g, given that -25/9 - 20/9*g - n*g**2 = 0.
-5/2
Let t(h) be the second derivative of h**6/180 - 3*h**5/20 + 19*h**4/18 + h**3/2 - 77*h**2/12 - 3968*h. Find i such that t(i) = 0.
-1, 1, 7, 11
Factor -56/5*z**2 + 52/5*z + 0 + 4/5*z**3.
4*z*(z - 13)*(z - 1)/5
Let n(r) be the third derivative of -r**7/12600 + r**6/360 - r**5/24 - 49*r**4/24 - 47*r**2. Let j(a) be the second derivative of n(a). Factor j(o).
-(o - 5)**2/5
Let x(n) be the first derivative of 16/7*n + 2/3*n**3 + 1/14*n**4 + 2*n**2 + 68. Factor x(f).
2*(f + 1)*(f + 2)*(f + 4)/7
Let h(c) be the first derivative of -c**5/110 - 2*c**4/33 - 4*c**3/33 - 19*c + 8. Let b(y) be the first derivative of h(y). Suppose b(p) = 0. Calculate p.
-2, 0
Suppose f + 30 = 2*l - 31, -148 = -5*l + 4*f. Let d = l + -29. Factor 63*b**d - 7*b**2 - 3*b**2 - 58*b**3 - 20*b + 40.
5*(b - 2)**2*(b + 2)
Let l(y) be the first derivative of 5*y**6/27 - 44*y**5/45 + 19*y**4/9 - 64*y**3/27 + 13*y**2/9 - 4*y/9 + 936. Factor l(f).
2*(f - 1)**4*(5*f - 2)/9
Let q = 3/976 - -70251/6832. Let c(m) be the first derivative of -q*m - 2/21*m**3 + 35 + 12/7*m**2. Factor c(l).
-2*(l - 6)**2/7
Let t = 49097/14 + -245443/70. Determine i so that -6/5*i + 3/5*i**2 + t = 0.
1
Let j(m) be the second derivative of -1/30*m**5 + 19*m + 4/3*m**3 + 16/3*m**2 - 1 + 0*m**4. Factor j(r).
-2*(r - 4)*(r + 2)**2/3
Let u(j) be the second derivative of j**4/28 - 65*j**3/14 + 27*j**2 - 7217*j. Factor u(z).
3*(z - 63)*(z - 2)/7
Find n, given that 352/3*n + 38/3*n**3 + 0 + 2/3*n**4 + 208/3*n**2 = 0.
-11, -4, 0
Let c = 158237 + -158207. Factor c*k + 0 + 3/2*k**3 + 27/2*k**2.
3*k*(k + 4)*(k + 5)/2
Let j be (88/110)/(2/10). Let g be (-6 + 8 - j) + 6. Solve 2/3*x - g + 2/3*x**2 = 0.
-3, 2
Let d(j) be the first derivative of -2*j**5/75 + j**4/10 + 28*j**3/45 - 4*j**2/5 - 16*j/3 - 7316. Determine q so that d(q) = 0.
-2, 2, 5
Suppose 2*s = -176*j + 173*j + 69, 2*j + 4*s - 54 = 0. Suppose 5*h - 5*u = 2*h - 16, -j = -2*h - 3*u. Factor 2/3 + 1/3*t**2 - 7/6*t + 1/6*t**h.
(t - 1)**2*(t + 4)/6
Let o = 481 - 421. Factor 2*b**4 + 16*b + 2 - 24*b**4 + 1004*b**3 - o*b**2 - 940*b**3.
-2*(b - 1)**3*(11*b + 1)
Let n(d) be the third derivative of d**9/40320 + 11*d**8/13440 - d**5/20 - 5*d**4/4 - 344*d**2. Let m(q) be the third derivative of n(q). Factor m(x).
3*x**2*(x + 11)/2
Suppose 303*c - 156*c - 179*c = -64. Let g(h) be the first derivative of -12 + 1/12*h**3 - 1/2*h**c + h. Solve g(p) = 0 for p.
2
Let v(x) be the first derivative of x**4/6 + 13*x**3/3 + 42*x**2 - 13*x - 79. Let q(z) be the first derivative of v(z). Suppose q(p) = 0. What is p?
-7, -6
Let 56/9*h**2 + 2/9*h**3 + 442/9*h + 676/9 = 0. What is h?
-13, -2
Let r(q) be the third derivative of q**6/144 + 25*q**5/24 + 245*q**4/48 + 52*q**3/3 + 89*q**2. Let a(o) be the first derivative of r(o). What is z in a(z) = 0?
-49, -1
Suppose 0 = 3*c - 86 + 140. Let d be (c/21)/(8/(-28)). Let 4*v**2 + 2*v**4 + 16/3*v**d + 0*v - 2/3 = 0. Calculate v.
-1, 1/3
Let l be (-30)/60 + 910/(-112) + 9. Factor 0 + 3/8*y**2 - l*y.
3*y*(y - 1)/8
Let z(r) be the third derivative of r**6/300 + 562*r**5/75 + 21131*r**4/4 + 209814*r**3/5 + r**2 + 20*r - 21. Find f such that z(f) = 0.
-561, -2
Let y be ((-1)/(-2))/(100/40). Let z = 20016 + -100062/5. Suppose -4/5*l**2 - 3/5*l + z + y*l**3 = 0. Calculate l.
-2, 3
Let o(t) = 8 - 4 + t + 6 + t**2 - 9*t. Let l be o(7). Let -2*v**2 + l + 1 - 4*v**3 - 2*v**3 - 98*v + 104*v - 2*v**4 = 0. What is v?
-2, -1, 1
Determine f so that -182*f**2 - 18*f**2 - 832 - 824*f - 89*f**3 - 91*f**3 - 97*f**3 + 279*f**3 = 0.
-2, 104
Let o(z) = 2*z**3 + 365*z**2 - 175*z - 179. Let a(k) = -8*k**3 - 2*k**2 - 2*k - 1. Let u(w) = a(w) + o(w). Factor u(p).
-3*(p - 60)*(p - 1)*(2*p + 1)
Let z(x) be the second derivative of 3*x**5/140 + 33*x**4/28 + 144*x**3/7 + 162*x**2 + 5*x - 27. Factor z(i).
3*(i + 6)**2*(i + 21)/7
Let a(i) be the first derivative of i**4/14 - 212*i**3/21 + 403*i**2/7 + 1020*i/7 + 1968. Suppose a(g) = 0. Calculate g.
-1, 5, 102
Let u be 3/(-8) + 129/24. Let v be ((-21)/(-14))/(u/100 - -1). What is x in 8/7*x + 2/7*x**2 - v = 0?
-5, 1
Factor -32*u - 7188*u**2 + 15*u**3 + 14390*u**2 - u**4 - 7184*u**2.
-u*(u - 16)*(u - 1)*(u + 2)
Let j = 44 - 85/2. Let i be (2/33)/((-2916)/(-40095)). Factor i*d**3 + 0*d + 0 - 8/3*d**4 + j*d**5 + 1/3*d**2.
d**2*(d - 1)**2*(9*d + 2)/6
Solve 10*p**3 + 16 + 39