+ 142/7*o.
2*(o + 29)*(o + 42)/7
Let j(s) = 7*s**3 + 15*s**2 + 180*s + 4. Let t(u) = 2*u**3 + u**2 + 1. Let p(r) = -3*j(r) + 12*t(r). Determine n so that p(n) = 0.
-9, 0, 20
Let v(i) be the second derivative of i**5/70 - 44*i**4/21 + 173*i**3/21 - 86*i**2/7 - 592*i. Factor v(z).
2*(z - 86)*(z - 1)**2/7
Let q be (1/6)/((-9)/(-216)). Let -2*u - 6*u + 16*u - 28 + 4*u**2 - q = 0. Calculate u.
-4, 2
Let t(o) be the first derivative of -o**5/25 - o**4/2 + 43*o**3/15 + 26*o**2/5 - 1068. Solve t(h) = 0 for h.
-13, -1, 0, 4
Let h(d) be the first derivative of d**4/22 - 100*d**3/11 + 5772*d**2/11 - 21904*d/11 - 1970. Factor h(c).
2*(c - 74)**2*(c - 2)/11
Suppose 5318*t + 99 + 63 = 5372*t. Factor 0*a + 0 - 1/6*a**4 + a**2 - 1/6*a**t.
-a**2*(a - 2)*(a + 3)/6
Let w(n) = -21*n**5 + 78*n**4 - 320*n**3 + 472*n**2 - 16. Let g(r) = 2*r**5 - r**4 + r**2 + 2. Let p(h) = -8*g(h) - w(h). Factor p(z).
5*z**2*(z - 6)*(z - 4)**2
Let t = -59 + 51. Let v be ((-25)/2)/(1*4/t). Factor -13*u - 4*u**2 + 33*u - u**2 + v.
-5*(u - 5)*(u + 1)
Suppose -1 = 9*t - 8*t + 3*u, 4 = t + 2*u. Let p(m) be the first derivative of 0*m + m**2 - 2/3*m**3 - t. Factor p(g).
-2*g*(g - 1)
Let c be 19*-1 + 1 + 3. Let q be c/60 - 18/(-8). Factor 3*y**2 + 5*y**q - 3*y**3 - y**3.
-4*y**2*(y - 2)
Let t(v) be the second derivative of -v**6/180 + 2*v**5/15 + 11*v**4/8 + 7*v**3/2 - 45*v - 1. Suppose t(x) = 0. Calculate x.
-3, -2, 0, 21
Suppose 0 = 2*m + 6, -3*m = -a + 17 - 6. Find g, given that 10*g**2 - 8*g**a - 20*g - 4*g + 72 = 0.
6
Factor 38/3*p**3 + 0 + 128/3*p**2 + 40*p + 2/3*p**4.
2*p*(p + 2)**2*(p + 15)/3
Let g be (9/2)/(168/280). Let h(x) be the first derivative of -15 + 2*x**3 + g*x**2 - 9*x. Let h(m) = 0. Calculate m.
-3, 1/2
Let w(q) be the first derivative of -1/30*q**3 - 122 - 7/20*q**2 - q. Factor w(c).
-(c + 2)*(c + 5)/10
Factor 0 - 60*h + 1/3*h**3 - 41/3*h**2.
h*(h - 45)*(h + 4)/3
Let s be ((-25)/(-6))/(40/60). Find o, given that -5/2*o**5 - 25/4*o**3 + 5/2 + 35/4*o + s*o**2 - 35/4*o**4 = 0.
-2, -1, -1/2, 1
Let x be 8/6*450/20. Find g such that 16*g - 15*g**3 - x + 5*g**4 + 9*g + 45*g - 15*g - 15*g**2 = 0.
-2, 1, 3
Let s(c) be the second derivative of c**4/12 - 4*c**3/3 - 10*c**2 + 34*c - 6. Let s(n) = 0. What is n?
-2, 10
Let -392/3*i**3 + 9200/3*i**2 + 20000/3*i + 0 + 4/3*i**4 = 0. What is i?
-2, 0, 50
Let j(x) be the first derivative of 12*x**5/5 + 151*x**4 - 412*x**3/3 - 102*x**2 - 777. Factor j(r).
4*r*(r - 1)*(r + 51)*(3*r + 1)
Let w(l) be the third derivative of l**8/5040 - l**7/105 + l**6/5 + l**5/30 + 18*l**2 + 3. Let v(o) be the third derivative of w(o). Factor v(r).
4*(r - 6)**2
Let m be ((-2)/80*126)/(-12). Let a(g) be the second derivative of 7/2*g**3 - 9/2*g**2 + 47/16*g**4 + m*g**5 + 21*g + 0. Factor a(k).
3*(k + 1)*(k + 6)*(7*k - 2)/4
Let u(i) = 3*i**2 + 301*i - 318. Let b(c) = 2*c**2 + 201*c - 213. Let a(n) = 7*b(n) - 5*u(n). Factor a(l).
-(l - 1)*(l + 99)
Let n be 3*(10/65 - 76/156). Let r be -9 - (-102)/12 - n/2. Solve 0 + 2/7*q**3 + r*q - 2/7*q**2 = 0.
0, 1
Let r(h) be the first derivative of h**6/36 + 7*h**5/15 + 13*h**4/8 - 43*h**3/9 - 28*h**2/3 + 4519. Determine c so that r(c) = 0.
-8, -7, -1, 0, 2
Let b = -1158206 - -561729492/485. Let r = -6/97 - b. Suppose m + r*m**2 + 1/5*m**3 + 2/5 = 0. What is m?
-2, -1
Let y(p) be the third derivative of -1/4*p**4 - p**3 + 3 + 1/32*p**5 + 0*p - 18*p**2. What is i in y(i) = 0?
-4/5, 4
Let l(n) be the second derivative of -3*n**5/40 + n**4/8 + 225*n**3/4 - 4131*n**2/4 - 1201*n. Find k such that l(k) = 0.
-17, 9
Let i(u) be the third derivative of u**8/1512 + u**7/189 + u**6/135 - 8*u**5/135 - 8*u**4/27 - 16*u**3/27 - 8*u**2 + 11. Determine c, given that i(c) = 0.
-2, -1, 2
Let l be (2 + -2)*(-16 - -17). Suppose -3*j + 150 - 135 = l. Factor -1/3*u**2 + 0*u - 1/6*u**j + 0*u**4 + 0 + 1/2*u**3.
-u**2*(u - 1)**2*(u + 2)/6
Suppose -84*i = -19*i - 260. Let u(j) be the third derivative of 0*j + 21*j**2 - 1/360*j**6 + 0*j**3 + 0*j**i + 0 - 1/180*j**5. Suppose u(t) = 0. Calculate t.
-1, 0
Solve -156264*t + 2329*t**4 - 372490 + 5*t**5 + 190100*t**3 - 389*t**4 + 370550*t**2 - 33841*t = 0.
-193, -2, -1, 1
Let k(w) be the first derivative of 0*w**4 + 12 - 10*w**2 + 0*w**3 + 1/15*w**5 + 0*w. Let c(p) be the second derivative of k(p). Factor c(f).
4*f**2
Suppose -5*a = -32*a + 582 - 528. Factor 8/21 - 8/21*k + 2/21*k**3 - 2/21*k**a.
2*(k - 2)*(k - 1)*(k + 2)/21
Let p(q) = -2*q + 14. Let l be p(6). Suppose 0 = 17*o - 64 - 21. Let l*t**3 + 0*t**3 - 14*t**2 - o*t + 5*t - 16*t = 0. Calculate t.
-1, 0, 8
Let z(o) be the first derivative of o**8/336 + 9*o**7/350 + o**6/60 - 15*o**2 - 87. Let f(k) be the second derivative of z(k). Factor f(q).
q**3*(q + 5)*(5*q + 2)/5
Let j = 56/461 + 115556/5071. Find o, given that 54/11 + j*o + 312/11*o**3 + 12/11*o**5 + 420/11*o**2 + 102/11*o**4 = 0.
-3, -1, -1/2
Let b be (-42)/3*(-18)/9. Suppose -2*m + b = -2*h, 3*m + 2*m + 2*h = 42. Factor -6 - 2*q**2 - 7 + 0 + 5 + m*q.
-2*(q - 4)*(q - 1)
Solve 4/9*a**3 + 0 + 310/9*a**2 - 2/9*a**4 - 104/3*a = 0 for a.
-12, 0, 1, 13
What is n in 1852/3*n**2 - 2/3*n**5 + 98/3*n**4 - 662*n - 700/3*n**3 + 246 = 0?
1, 3, 41
Let w(y) = 3*y + 6. Suppose 0 = 2*q + 3*h - 25, 0 = -2*q - 4*h + 37 - 9. Let g be w(q). Suppose 15*l**4 - 18 - 40*l**3 - 18 + 31 + g*l**2 = 0. Calculate l.
-1/3, 1
Suppose 2*i - 6*i = -8. Let g(d) = -3*d**2 - 48*d - 125. Let b = 122 + -177. Let o(a) = -80*a**2 - 1295*a - 3375. Let u(k) = b*g(k) + i*o(k). Factor u(c).
5*(c + 5)**2
Let y(s) be the first derivative of -2*s**3/15 + 4*s**2/5 - 8*s/5 + 314. Suppose y(g) = 0. Calculate g.
2
Let d(g) be the first derivative of g**4 - 1/5*g**6 + 15*g + 1/14*g**7 - 7 + 0*g**2 - 9/20*g**5 + 2*g**3. Let t(q) be the first derivative of d(q). Factor t(r).
3*r*(r - 2)**2*(r + 1)**2
Factor 18/7*c**2 - 36/7*c + 0 - 2/7*c**3.
-2*c*(c - 6)*(c - 3)/7
Let y(u) = -u**2 - 16*u + 17. Let g be y(-16). Suppose m + 2*q - g = q, 4*m - 92 = 4*q. Factor 11*h - 5*h**2 - m*h + 10 + 4*h.
-5*(h - 1)*(h + 2)
Let a(b) be the second derivative of -1/90*b**5 - b - 1/54*b**4 + 2/9*b**3 - 42 + 0*b**2. Factor a(k).
-2*k*(k - 2)*(k + 3)/9
Let f be ((-1)/(-1))/(650/1950). Factor 0*h + 0*h**f - 4/3*h**2 - 1/3*h**5 + h**4 + 0.
-h**2*(h - 2)**2*(h + 1)/3
Factor 1/8*w**3 - 11907/2 + 249/8*w**2 + 1890*w.
(w - 3)*(w + 126)**2/8
Suppose -2*d = 2*s - 102, 6*d - 145 = -3*s + d. Factor s*j**2 + 59*j**2 - 520*j - 169*j**2 + 60*j**2 + 13520.
5*(j - 52)**2
Let u(t) be the first derivative of t**4/30 + 32*t**3/3 - 4901. Factor u(a).
2*a**2*(a + 240)/15
Let u be 6424/154 - (-279)/(-9). Solve -3 + 66/7*q + u*q**2 - 12/7*q**3 = 0 for q.
-1, 1/4, 7
Let k(j) = 3*j**2 - 1630*j - 551. Let f(x) = -x**2 + 1630*x + 552. Let v(b) = -6*f(b) - 7*k(b). Find g, given that v(g) = 0.
-1/3, 109
Let q(t) be the second derivative of -45/2*t**2 - 34*t - 5*t**3 - 5/12*t**4 + 1. Factor q(y).
-5*(y + 3)**2
Let o(t) be the first derivative of t**7/105 + 3*t**6/20 - 28*t**2 + 62. Let n(g) be the second derivative of o(g). Factor n(k).
2*k**3*(k + 9)
Let x be (57/(-51) - -1) + (-583)/(-187). Find q, given that -20 + 2*q**x - 2*q + 47 + 14*q**2 - 41 = 0.
-7, -1, 1
Let t(r) be the third derivative of -r**7/210 + 2*r**6/15 - r**5/4 + 12311*r**2. Factor t(z).
-z**2*(z - 15)*(z - 1)
Let -4021448/3 - 5672/3*g - 2/3*g**2 = 0. What is g?
-1418
Let f(r) be the second derivative of 0*r**2 + 0 + 3/10*r**5 + 1/10*r**6 + 150*r + 0*r**3 + 0*r**4. Factor f(h).
3*h**3*(h + 2)
Let y(v) be the third derivative of v**7/126 - 67*v**6/36 + 1583*v**5/12 - 21775*v**4/18 + 42250*v**3/9 - 2*v**2 + 304*v. Let y(w) = 0. What is w?
2, 65
Let g(u) be the first derivative of -3*u**5 + 475*u**4 - 1665*u**3 + 2175*u**2 - 1240*u + 1115. Solve g(b) = 0 for b.
2/3, 1, 124
Suppose -5*b + 200 + 24 = t, -881 = -4*t - 5*b. Factor t + 138*k + 1040 + 328 + 3*k**2.
3*(k + 23)**2
Let p be 75/20 - ((-7)/(-112))/(1/4). Let b(q) be the second derivative of 9*q**2 + 1/4*q**4 - 24*q + p*q**3 + 0. Let b(h) = 0. What is h?
-6, -1
Let m(r) be the second derivative of -r**4/72 - 371*r**3/9 - 137641*r**2/3 - 18*r + 8. Determine z, given that m(z) = 0.
-742
Suppose -4*q - 25 + 101 = 0. Suppose q - 17 = h. Suppose 1/2 + 1/4*o - 1/4*o**h = 0. Calculate o.
-1, 2
Let s(f) = -29*f**3 + 250*f**2 + 121*f - 5292. Let l(b) = -320*b**3 + 2748*b**2 + 1