 Solve v(k) = 0 for k.
-6, -5/3
Factor 1168/5*m - 1608/5*m**2 - 96/5 + 156*m**3 - 128/5*m**4.
-4*(m - 2)**3*(32*m - 3)/5
Find w such that 384 + 169/6*w**2 + 208*w = 0.
-48/13
Let a(x) be the first derivative of x**3/9 + 47*x**2/6 - 16*x - 615. Suppose a(o) = 0. Calculate o.
-48, 1
Let i = -10 - -13. Find h, given that 12*h**2 - 2*h**i - 3*h**3 + 4*h + 2*h**3 - 12 - h**3 = 0.
-1, 1, 3
Let c = 2387/52 + -15929/364. Factor 213/7*w**2 + c*w**3 + 21 + 111*w.
3*(w + 7)**2*(5*w + 1)/7
Let f(d) be the first derivative of -194 - 4/9*d**3 + 6*d + 5/2*d**2 - 1/12*d**4. Factor f(j).
-(j - 3)*(j + 1)*(j + 6)/3
Let t(i) be the first derivative of -3*i**5/20 + 7*i**4/4 - 3*i**3 - 176*i - 141. Let h(d) be the first derivative of t(d). Solve h(p) = 0 for p.
0, 1, 6
Let w = -5166 + 5173. Let v(j) be the third derivative of 0*j**3 + 0*j + 0*j**4 - 1/315*j**w + 0 + 0*j**5 + 26*j**2 - 1/90*j**6. Factor v(d).
-2*d**3*(d + 2)/3
Solve -20134/3*x**2 - 6512*x + 2904 + 134*x**3 + 624*x**4 - 72*x**5 = 0 for x.
-11/6, 1/3, 6
Let y(h) be the first derivative of 2*h**3/15 - 48*h**2/5 + 184*h/5 + 2466. Factor y(a).
2*(a - 46)*(a - 2)/5
Factor -5846724/5 - 4/5*q**2 + 9672/5*q.
-4*(q - 1209)**2/5
Let k(l) = l**2 + 4 - 2*l**2 + 12*l + 3*l**2. Let m be k(-8). Solve h - 3*h + 4*h**2 + 36*h**3 - 16*h**4 - 6*h + 20*h**5 - m*h**4 = 0 for h.
-2/5, 0, 1
Factor -210/11 + 38*s - 2/11*s**3 - 206/11*s**2.
-2*(s - 1)**2*(s + 105)/11
Suppose 0 = 9*p - 12*p + 12. Factor 20*y**4 - 36*y - 8*y**p + 108 + 6*y**3 - 33*y**2 - 9*y**4.
3*(y - 2)**2*(y + 3)**2
Let k(f) be the third derivative of f**5/330 + 31*f**4/132 + 238*f**3/33 - f**2 + 122*f. Solve k(p) = 0.
-17, -14
Suppose -14 - 10 = -6*k. Let x(d) = -d + 11. Let p be x(5). Let p*m**2 - k*m**3 - m**3 + 7*m**3 = 0. What is m?
-3, 0
Let -104*a - 1015/2 - 1/2*a**2 = 0. What is a?
-203, -5
Let m(v) = 5*v**3 - 3*v**2 - 3*v + 5. Let d be m(1). Determine n, given that -d*n - 155 - n**2 + 8 - 36*n - 253 = 0.
-20
Let l(h) = -21*h**2 + 1002*h - 1031. Let v(n) = 5*n**2 - 242*n + 258. Let a(q) = -6*l(q) - 25*v(q). Factor a(s).
(s - 6)*(s + 44)
Let a(b) be the second derivative of 1/60*b**5 + 2*b - 17 + 5/72*b**4 + 0*b**2 - 1/180*b**6 - 1/6*b**3. Let a(i) = 0. What is i?
-2, 0, 1, 3
Factor -5*c + 107 + 2*c**2 - 2*c**2 + 4*c**2 - 51*c + 89.
4*(c - 7)**2
Let z(v) be the first derivative of v**6/240 - v**5/30 + 5*v**4/48 - v**3/6 - v**2/2 - 10*v - 153. Let w(u) be the second derivative of z(u). Factor w(p).
(p - 2)*(p - 1)**2/2
Let j = -846 - -1735/2. Let f = 24 - j. Let 0 - f*k**2 - 5/2*k = 0. What is k?
-1, 0
Let u(i) be the first derivative of -3*i**4/4 + 2*i**3 + 9*i**2/2 + 2790. Factor u(f).
-3*f*(f - 3)*(f + 1)
Let y(j) = 6*j**3 + 89*j**2 - 13*j + 33. Let m be y(-15). Let l(a) be the first derivative of 2 + 0*a**2 - 3/5*a + 1/5*a**m. Suppose l(x) = 0. Calculate x.
-1, 1
Factor -10*d**2 + 28*d**3 + 13*d**2 - 12 - 28*d - 4*d**4 + 12 + d**2.
-4*d*(d - 7)*(d - 1)*(d + 1)
Let m(g) = g**3 + 6*g**2 - 140*g - 73. Let b be m(-15). Determine x, given that 0*x + 18/7*x**5 + 0 - 4/7*x**b - 24/7*x**4 - 22/7*x**3 = 0.
-1/3, 0, 2
Let c(m) = 31*m**3 + 908*m**2 + 1532*m - 437. Let g(a) = -36*a**3 - 908*a**2 - 1532*a + 436. Let b(w) = 4*c(w) + 3*g(w). Solve b(q) = 0.
-55, -2, 1/4
Let j(o) be the third derivative of 1/98*o**7 + 1/7*o**4 - 2*o**2 - 2/7*o**3 - 1/140*o**5 - 1/784*o**8 + 69*o - 1/40*o**6 + 0. Determine g so that j(g) = 0.
-1, 1, 2
Suppose -4978 = -14*p - 1310. Factor 238*z**2 - 3*z**4 + 13*z - p*z**2 - z + 15*z**3.
-3*z*(z - 2)**2*(z - 1)
Suppose -q = b + 4*b - 185, 2*q - 37 = -b. Let f = -26 + b. Suppose f*s**4 - 5*s**4 - 11*s**4 + 5*s**5 = 0. What is s?
0, 1
Let b(k) be the second derivative of -k**6/180 - 3*k**5/40 - 7*k**4/24 - 19*k**3/36 - k**2/2 + 1384*k. Factor b(u).
-(u + 1)**3*(u + 6)/6
Let u(x) be the third derivative of x**6/80 - x**5/5 - 5*x**4/16 + 21*x**3 - 1744*x**2. Let u(p) = 0. Calculate p.
-3, 4, 7
Let v be 2/(-4)*(-1 + 2)*266/(-6783). Let g(c) be the second derivative of 0 - 1/34*c**4 + v*c**3 - 1/170*c**5 + 3/17*c**2 - 14*c. Factor g(y).
-2*(y - 1)*(y + 1)*(y + 3)/17
Let p(m) = 1471*m + 19123. Let s be p(-13). Determine q so that s - 30/7*q + 3/7*q**3 + 9/7*q**2 = 0.
-5, 0, 2
Let k(x) be the second derivative of -57*x - 1580/9*x**3 - 2179/9*x**4 - 125/63*x**7 - 937/6*x**5 - 200/3*x**2 - 280/9*x**6 - 2. Factor k(v).
-2*(v + 5)**2*(5*v + 2)**3/3
Factor -1325096 + 7300*c - 978321 - 5*c**2 - 361083.
-5*(c - 730)**2
Solve 3/8*v**3 - 1689/8*v**2 - 1683/8 + 3369/8*v = 0 for v.
1, 561
Let o(l) be the second derivative of -23*l**6/195 + 27*l**5/130 + 7*l**4/13 - 8*l**3/39 + 4742*l. What is t in o(t) = 0?
-1, 0, 4/23, 2
Let a = 401 + -398. Suppose -36*p + 39*p - 36*p + 12*p**2 + 18 - a*p**2 = 0. What is p?
2/3, 3
Let s(z) be the third derivative of z**5/12 - 5*z**4/12 - 20*z**3/3 - 5*z**2 - 256. Factor s(b).
5*(b - 4)*(b + 2)
Determine p, given that 51/7*p**2 + 1/7*p**4 - 20/7*p**3 + 0*p + 0 = 0.
0, 3, 17
Let h(k) be the third derivative of k**5/160 + 153*k**4/32 - 77*k**3/2 - k**2 + 49. Factor h(s).
3*(s - 2)*(s + 308)/8
Suppose -5*k + 10 - 35 = 0. Let w(u) = -2 - 5 + 13*u**2 - 3*u**2 - 1 - 5*u + 13. Let s(o) = 5*o**2 - 2*o + 3. Let x(h) = k*s(h) + 3*w(h). Solve x(f) = 0.
0, 1
Let r be 14076 + -14073 - (-2)/10*-14. Find c such that 3/5*c + 4/5*c**2 + 0 + r*c**3 = 0.
-3, -1, 0
Solve 8*j + 26*j**2 - 66*j - 425 + 282*j + 200*j - 25*j**2 = 0 for j.
-425, 1
Let i = -253 + 255. Let -2 + 3*x - 2*x + x**i - 3*x + x = 0. Calculate x.
-1, 2
Suppose 70/11 + 2/11*a**5 + 4/11*a**2 + 140/11*a**3 - 142/11*a - 74/11*a**4 = 0. What is a?
-1, 1, 35
Find y, given that 203/2 - 205/4*y + 1/4*y**2 = 0.
2, 203
Let y(d) be the second derivative of 1/2*d**2 + 10/3*d**3 + 17/30*d**6 + 0 + 13/5*d**5 + 9/2*d**4 + 136*d. Determine u so that y(u) = 0.
-1, -1/17
Let d(c) be the third derivative of -c**9/1512 - c**8/210 - c**7/84 - c**6/90 + 22*c**3 - 65*c**2 + 2*c. Let u(f) be the first derivative of d(f). Factor u(x).
-2*x**2*(x + 1)**2*(x + 2)
Let t(o) be the second derivative of o**7/630 - o**6/180 - o**5/180 + o**4/36 - 10*o**2 - o + 4. Let a(h) be the first derivative of t(h). Factor a(z).
z*(z - 2)*(z - 1)*(z + 1)/3
Let l(u) be the first derivative of u**4/4 + 10*u**3 - 2*u**2 - 120*u + 1573. Factor l(a).
(a - 2)*(a + 2)*(a + 30)
Let 4704/11 + 864/11*z**2 - 30/11*z**3 - 6552/11*z = 0. Calculate z.
4/5, 14
Suppose -25 = -6*r + r. Suppose -10935*i + 84180 - 37208 - r*i**3 + 51443 + 405*i**2 = 0. What is i?
27
Let y be 3504/2190 - (-13)/(260/8). Suppose -39/4*g**4 - 5 + 1337/12*g**3 - 607/12*g**y - 118/3*g - 27/4*g**5 = 0. Calculate g.
-5, -2/9, 1, 3
Factor -48 + 20 + 32 + 145*d + 3*d**2 - 104 + 2.
(d + 49)*(3*d - 2)
Let n be (130/12)/(1292/(-12)). Let h = n - -7/34. Factor -h*s + 2/19*s**2 - 12/19.
2*(s - 3)*(s + 2)/19
Determine y, given that -2688*y**2 - 98308*y + 220*y**3 - 64800 - 2*y**4 - 2130*y**2 + 28468*y = 0.
-9, -1, 60
Let -6850268*x - 10*x**3 + 5*x**4 + 6850468*x - 23*x**2 - 37*x**2 - 160 = 0. What is x?
-4, 2
Solve 21*f**2 + 0 - 69/4*f**4 + 18*f - 9/4*f**5 - 39/2*f**3 = 0 for f.
-6, -2, -2/3, 0, 1
Let x(q) = 16*q**2 - 203*q - 193. Let z(f) = -7*f**2 + 101*f + 96. Let c(p) = -6*x(p) - 13*z(p). Factor c(b).
-5*(b + 1)*(b + 18)
Suppose -5*k = -4*s - 10 + 1, -2*k - s = -14. Factor -2*r - 3*r**3 - 3 - k*r**4 + 3*r**3 + r**3 + 8*r**2 + r**3.
-(r - 1)**2*(r + 1)*(5*r + 3)
Let t(k) = -216*k**3 - 1818*k**2 - 1671*k + 30. Let x(o) = 27*o**3 + 227*o**2 + 209*o - 3. Let h(q) = 4*t(q) + 33*x(q). What is s in h(s) = 0?
-7, -1, -1/9
Let p(i) be the third derivative of i**7/70 - 19*i**6/20 - 39*i**5/20 - 2*i**2 + i - 126. Find k such that p(k) = 0.
-1, 0, 39
Find s, given that 99/8*s**2 + 3/8*s**3 - 11907/8 + 189/8*s = 0.
-21, 9
Suppose 247*b - 252*b - 34 = -3*s, 2*b = -s - 7. Let t(g) be the first derivative of 17/2*g**s + 9/8*g**4 + 63/4*g**2 - 27/2*g + 7. Factor t(j).
3*(j + 3)**2*(3*j - 1)/2
Let m(t) be the first derivative of 5*t**8/336 - 2*t**7/21 + 177*t**2/2 + 115. Let h(p) be the second derivative of m(p). Factor h(z).
5*z**4*(z - 4)
Determine d, given that 105/2 - 157/4*d - 1/4*d**3 + 7*d**2 = 0.
2, 5, 21
Let l(g) be the third derivative of -1/12*g**4 - 28*g + 0 - 1/90*g**6 + 17/270*g**5 - g**2 - 2/27*g**3. Factor l(i).
-2*(i - 2)*(i - 1)*(6*i + 1)/9
Let i be 5/(-