1/6*o**4 - 1/2*o**5 + 2/3*o**3 + 2/15*o**i + 0*o**2. Solve p(c) = 0.
-1/2, 0, 1, 2
Let q(o) be the second derivative of o**4/4 - 77*o**3/2 + 1323*o**2 - o + 2059. Find i such that q(i) = 0.
14, 63
Suppose -282 = -603*p + 691 + 233. Factor 13/3*v - 1/3*v**p + 10.
-(v - 15)*(v + 2)/3
Let -59*x - 476*x + 336 + 60*x**4 + 511*x**2 - 316*x**3 - 458*x + 245*x**2 + 161*x - 4*x**5 = 0. Calculate x.
1, 2, 3, 7
Let j(n) be the third derivative of 722*n**6/75 + 1938*n**5/25 + 203*n**4/40 + 2*n**3/15 + 13616*n**2. Suppose j(u) = 0. Calculate u.
-4, -1/76
Let a(p) be the first derivative of 2*p**3/15 - 297*p**2/5 + 236*p - 9848. What is x in a(x) = 0?
2, 295
Let r(s) = 46*s - 34. Let d be r(1). Factor -5*m**2 + 0*m**2 + 0*m**2 + d*m**3 - m**2 + 3 - 12*m + 6 - 3*m**4.
-3*(m - 3)*(m - 1)**2*(m + 1)
Let q be (-3)/(((-270)/420)/(3/28*4)). Factor 104/7*z**q + 40/7*z**3 + 2/7*z**4 - 960/7*z + 1152/7.
2*(z - 2)**2*(z + 12)**2/7
What is d in 3*d**2 - 15*d + 6*d + 4*d - 6*d - 16*d = 0?
0, 9
Let h(f) = 3*f + 3. Suppose -14*a + 5*a + 27 = 0. Let l(p) = -p**2 - 4*p - 3. Let g(v) = a*l(v) + 2*h(v). Factor g(t).
-3*(t + 1)**2
Let g(a) be the first derivative of 392*a**5/45 - 70*a**4/9 + 50*a**3/27 + 186. Factor g(f).
2*f**2*(14*f - 5)**2/9
Let c(x) = x**5 + 3*x**4 + x**3 + 3*x - 1. Let b(i) = 3*i**5 - 13*i**4 - 74*i**3 + 1026*i**2 - 933*i - 2029. Let p(v) = b(v) - 4*c(v). Solve p(q) = 0.
-15, -1, 3
Let r(u) = -3*u**2 + 254*u + 263. Let h(o) = 11*o**2 - 759*o - 791. Let d(j) = 2*h(j) + 7*r(j). Factor d(l).
(l + 1)*(l + 259)
Suppose 218*t = -161*t - 146*t. Factor t + 2*h**2 + 1/2*h**4 + 0*h + 2*h**3.
h**2*(h + 2)**2/2
Let u = -124917 - -124919. Factor 7 + 36/5*v + 1/5*v**u.
(v + 1)*(v + 35)/5
Let o(f) be the second derivative of -f**7/49 - 5*f**6/7 - 663*f**5/70 - 839*f**4/14 - 1362*f**3/7 - 2160*f**2/7 + 3*f - 339. Determine m, given that o(m) = 0.
-10, -8, -3, -1
Let z(k) = k**2 + 19*k + 18. Let c be z(-16). Let r = c - -34. What is f in 48*f**3 - 4*f**2 - 2*f**2 - 8*f - 28*f**r - 6*f**2 = 0?
-2/7, 0, 1
Let h be 6 + (10 + -11 - 3). Let m(v) be the second derivative of 0 + h*v + 1/2*v**3 - v**2 + 1/6*v**4. Factor m(c).
(c + 2)*(2*c - 1)
Let d(k) = 31*k**3 - 919*k**2 - 2275*k - 518. Let q(y) = 16*y**3 - 459*y**2 - 1135*y - 258. Let l(c) = -4*d(c) + 9*q(c). Factor l(t).
5*(t - 25)*(t + 2)*(4*t + 1)
Let b be -1152 + (2*(3 - 1) - -1). Let z = 1147 + b. Factor 2*j + z - 1/3*j**2.
-j*(j - 6)/3
Solve -240 + 356/3*z + 2*z**3 + 1082/3*z**2 = 0.
-180, -1, 2/3
Suppose 90 = a + 79. Factor a - 5*m**2 + 39 + 5 - 50*m.
-5*(m - 1)*(m + 11)
Suppose -735 - 616*c + 9*c**4 + 1032/5*c**3 + 5678/5*c**2 = 0. Calculate c.
-35/3, -3/5, 1
Let l(n) be the third derivative of -n**7/2310 + 7*n**6/660 - 13*n**5/165 - n**4/11 + 48*n**3/11 + 429*n**2. Find a, given that l(a) = 0.
-2, 4, 6
Let r = 469/3 - 155. Let w = 6151/9222 - 1/3074. Find p, given that -w*p - r*p**3 + 1/3 - 7/3*p**2 = 0.
-1, 1/4
Let y = -511423 + 511426. Factor -10*r**2 - 3/2*r**y - 9 - 39/2*r.
-(r + 3)**2*(3*r + 2)/2
Let t(n) = 57*n**3 - 1140*n**2 - 21309*n - 20064. Let v(a) = 6*a**3 - 120*a**2 - 2243*a - 2112. Let w(h) = 5*t(h) - 48*v(h). Factor w(i).
-3*(i - 32)*(i + 1)*(i + 11)
Let q(o) be the second derivative of 0 + 1/20*o**5 + 0*o**2 - 1/3*o**3 + 1/12*o**4 + 159*o. Factor q(x).
x*(x - 1)*(x + 2)
Let g = -1101 - -1105. Let r(x) be the second derivative of 0 - 1/72*x**4 - 49/12*x**2 + 7/18*x**3 - g*x. Factor r(m).
-(m - 7)**2/6
Let v(r) = -5*r**2 + 61*r + 31. Let y be v(14). Let g = y - -99. Let -4/7 + 8/7*i**3 + 8/7*i**g - 4/7*i**2 - 10/7*i + 2/7*i**5 = 0. Calculate i.
-2, -1, 1
Factor 4/3*t**2 - 31*t + 110/3.
(t - 22)*(4*t - 5)/3
Let v be (-1 + 302/(-6))/((-3)/90). Let 2132*x - 320 + v*x**4 + 3122*x**3 - 292*x - 4478*x**3 - 4604*x**3 + 735*x**5 - 960*x**2 = 0. Calculate x.
-4, -2/3, 2/7, 2
Let t(u) = 19*u**3 + 2374*u**2 + 3891*u - 1120. Let n(b) = 5*b**3 + 592*b**2 + 973*b - 280. Let i(s) = -26*n(s) + 6*t(s). Factor i(r).
-4*(r + 2)*(r + 70)*(4*r - 1)
Let x be (-1675)/(-40) - (2 - (-68)/(-32)). Let f = x + -125/3. Factor f*k + 2/3*k**2 + 1/3*k**3 + 0.
k*(k + 1)**2/3
Let v(n) = n**2 - 5*n - 10. Let j be v(4). Let y = j + 17. Factor 5*p - 5*p**y - 9 + 18 - 4 - 5*p**2.
-5*(p - 1)*(p + 1)**2
Let d(u) be the second derivative of u**7/14 - 37*u**6/5 + 270*u**5 - 6875*u**4/2 - 15625*u**3/2 - 7155*u. Factor d(c).
3*c*(c - 25)**3*(c + 1)
Let -6412*b + 7285*b + 28*b**4 - 378 + 3*b**5 - 76*b**4 + 276*b**3 - 726*b**2 = 0. What is b?
1, 2, 3, 7
Suppose 2776 = 5*z + 2836. Let o be (z/40)/((-180)/75). Determine h so that 1/2*h + 0 - o*h**2 = 0.
0, 4
Let a = -1440638 - -10084654/7. Suppose -36/7*i**3 + a*i**2 + 104/7 - 36*i - 4/7*i**4 = 0. What is i?
-13, 1, 2
Let h(m) be the third derivative of 170*m**2 + 0*m + 0 - 7/240*m**5 - 1/16*m**4 + 1/96*m**6 + 1/1344*m**8 + 0*m**3 + 1/120*m**7. Factor h(l).
l*(l - 1)*(l + 1)**2*(l + 6)/4
Suppose 0 = -3*f + 4*x - 26, 2*f - 6 = -5*x + 3*x. Let m be (14 + -15)/(1/f). Solve 3*d + m*d + 10 + 0*d + d**2 - 16 = 0 for d.
-6, 1
Factor -6228*x**2 - 866942357 + 0*x**3 - 4309776*x - 3*x**3 - 127179307.
-3*(x + 692)**3
Let l(w) be the second derivative of 5*w + 0*w**2 + 1 + 0*w**3 + 1/50*w**5 + 1/30*w**4. Factor l(b).
2*b**2*(b + 1)/5
Let f be 20*(36/(-360) + 10/25). Solve 2*t**3 + 9/2*t + 1 + f*t**2 = 0 for t.
-2, -1/2
Let n be 12/36*6/9*9. Let j(k) be the third derivative of -1/525*k**7 + 0*k + 0*k**3 - 2/15*k**4 - 21*k**n + 0 + 1/60*k**6 - 1/75*k**5. Factor j(b).
-2*b*(b - 4)*(b - 2)*(b + 1)/5
Let x(v) be the second derivative of -v**5/30 + v**4/18 + 5*v**3/9 + v**2 - 552*v. Solve x(t) = 0 for t.
-1, 3
Let c be (30 - 4)*(-335)/10. Let d = c + 873. What is u in 1/4*u**d + u + 1 = 0?
-2
Let h(a) = -1704*a**2 - 5414*a + 134. Let r(y) = 189*y**2 + 602*y - 15. Let m(i) = -6*h(i) - 52*r(i). Factor m(u).
4*(u + 3)*(99*u - 2)
Let j(s) be the second derivative of -2*s**6/15 + 3*s**5/5 - s**4 + 2*s**3/3 + 973*s. Factor j(z).
-4*z*(z - 1)**3
Let b = 203 + -199. Let x(a) be the third derivative of -1/945*a**7 - 1/54*a**5 - 1/54*a**b - 1/135*a**6 - 2*a**2 + 0*a**3 + 0 + 0*a. Factor x(z).
-2*z*(z + 1)**2*(z + 2)/9
Let t be (424/16112)/((-2)/(-38)). Find k such that 0 - 1/2*k**3 - k**2 - t*k = 0.
-1, 0
Let v(b) = b**2 + 2*b + 4. Let q(s) = -2409*s + 1204*s + 3 + 2 + s**2 + 1207*s. Suppose -4*r = -1 + 21. Let g(p) = r*v(p) + 4*q(p). Solve g(c) = 0.
-2, 0
Let l(m) be the third derivative of m**6/600 + m**5/25 + 3*m**4/10 - 43*m**3/6 + 9*m**2 - 2*m. Let y(g) be the first derivative of l(g). Factor y(o).
3*(o + 2)*(o + 6)/5
Let a = -1126 + 5633/5. Let l(t) be the first derivative of -1/2*t**6 + 0*t**4 + 0*t + 0*t**3 + 0*t**2 + a*t**5 - 3. Let l(k) = 0. What is k?
0, 1
Let c(r) be the first derivative of -r**4/5 + 496*r**3/5 - 68442*r**2/5 - 279752*r/5 + 6939. Suppose c(q) = 0. What is q?
-2, 187
Let q(i) = 274*i**2 + 5*i - 4. Let m be q(1). Determine x, given that 68*x - 31*x**2 + 12*x**3 + m - 29*x**2 - 299 + 4*x**4 = 0.
-6, 1
Determine x, given that -693*x + 6*x**2 + 681*x - 31*x**2 + 16*x**3 - x**2 = 0.
-3/8, 0, 2
Let p be 165/(-132) - (39/(-9) + 3). Let l(n) be the first derivative of -16 - p*n**4 + 1/6*n**2 + n - 1/3*n**3. Factor l(a).
-(a - 1)*(a + 1)*(a + 3)/3
Let h(a) be the third derivative of a**5/12 - 25*a**4/4 - 1295*a**3/6 - a**2 + 47*a + 7. Determine x, given that h(x) = 0.
-7, 37
Suppose 0 = 21*c - 22*c + 2. Suppose 209 + 41 + 25*x + 3*x**3 - 40*x**2 + c*x**3 = 0. What is x?
-2, 5
Let k(b) be the third derivative of b**7/1680 + 11*b**6/960 + 17*b**5/240 + b**4/8 + 299*b**2 - 1. Find v, given that k(v) = 0.
-6, -4, -1, 0
Let l(n) be the first derivative of 2*n**5 + 11*n**4 + 56*n**3/3 + 8*n**2 + 66. Factor l(m).
2*m*(m + 2)**2*(5*m + 2)
Suppose -199 - 1014 = s. Let w = s + 1225. Factor -18 - 3/2*l**2 + w*l.
-3*(l - 6)*(l - 2)/2
Let i(s) be the first derivative of s**4/4 - 625*s**3/3 + 97343*s**2/2 + 97969*s - 3856. Factor i(t).
(t - 313)**2*(t + 1)
Suppose 1212/5*x + 3/5*x**3 - 396 - 117/5*x**2 = 0. What is x?
2, 15, 22
Let z(d) be the third derivative of 17*d**8/84 - 37*d**7/105 - 31*d**6/60 + 37*d**5/30 - d**4/4 + 738*d**2. Solve z(j) = 0 for j.
-1, 0, 3/34, 1
Let z = -217924/3 + 72642. Determine c, given that 32/3 - 4*c - z*c**2 = 0.
-8, 2
Let t = 9 + -6. Let m be 5/((-50)/(-4)) + 3276/6435. Factor 2/11*g**