*c**4 + 2 + 45*c**3 + 19*c**2 = 0 for c.
-2, 0, 4, 13
Let h = 7198/1815 - -424/605. Find a such that -4/3*a**2 + 2/21*a**3 + h*a + 0 = 0.
0, 7
Let i(w) = 6*w**3 + 42*w**2 - 180*w - 234. Let r(n) = -13*n**3 - 83*n**2 + 362*n + 474. Let q(t) = 7*i(t) + 3*r(t). Let q(c) = 0. What is c?
-18, -1, 4
Let o(j) = -236*j + 46. Let b be o(-4). Factor -b*a + 184 - 320*a**2 + 216 + 295*a**2.
-5*(a + 40)*(5*a - 2)
Factor 0 + 0*k - 93/2*k**2 - 3/4*k**4 + 99/4*k**3.
-3*k**2*(k - 31)*(k - 2)/4
Let c(a) be the second derivative of 2*a**7/315 - a**6/15 - 3*a**5/8 - 3*a**4/4 - 10*a**3/3 + 6*a + 5. Let x(j) be the second derivative of c(j). Factor x(z).
(z - 6)*(4*z + 3)**2/3
Let s(y) be the second derivative of 0 + 17/2*y**3 + 43*y - 867/4*y**2 - 1/8*y**4. Factor s(i).
-3*(i - 17)**2/2
Let q(t) be the first derivative of -t**8/6300 - 31*t**7/6300 + 4*t**6/675 + 110*t**3/3 + 134. Let f(v) be the third derivative of q(v). Solve f(m) = 0 for m.
-16, 0, 1/2
Let a(w) = 4*w**5 - 14*w**4 + 26*w**3 + 20*w**2 + 12*w - 48. Let d(p) = -p**5 + 3*p**4 - 5*p**3 - 4*p**2 - 3*p + 10. Let m(n) = 3*a(n) + 14*d(n). Factor m(x).
-2*(x - 2)*(x - 1)*(x + 1)**3
Let g be 0 + 5 - -14 - 1. Suppose 3*c = g*c - 375. Factor c*t + 3*t**2 + t**3 - 5*t - 18*t.
t*(t + 1)*(t + 2)
Let i(k) = 7*k**2 + 232*k + 2643. Let x(j) be the second derivative of -5*j**4/4 - 155*j**3/2 - 5285*j**2/2 + 88*j. Let d(z) = -5*i(z) - 2*x(z). Factor d(u).
-5*(u + 23)**2
Let t(f) = 660*f - 657. Let o be t(1). Let 2*i**2 - 6*i**4 + 58/3*i**o - 58/3*i + 4 = 0. Calculate i.
-1, 2/9, 1, 3
Let c(o) = 20*o**2 - 40. Suppose 2*n = -5*v - 21, -3*v + 4*n - 10 = 13. Let h(u) = 29*u**2 - 60. Let b(l) = v*h(l) + 7*c(l). Factor b(k).
-5*(k - 2)*(k + 2)
Suppose 4*t - b + 407 = 516, -7*t + 193 = -b. Let -t*g - 294 - 2/3*g**2 = 0. What is g?
-21
Let j(v) be the first derivative of -20/3*v + 2/27*v**3 + 17 + 1/9*v**2. Factor j(m).
2*(m - 5)*(m + 6)/9
Let u be -19*(15 + -16) - 17. Factor -3/4*p**u + 15/2 - 9/4*p.
-3*(p - 2)*(p + 5)/4
Let v(y) be the first derivative of -2*y**4 + 0*y - 2/5*y**5 + 73 + 14/3*y**3 + 10*y**2. Solve v(o) = 0 for o.
-5, -1, 0, 2
Let b(z) be the first derivative of -5*z**3 - 355*z**2/2 + 380*z - 146. Let n(o) = -8*o**2 - 177*o + 191. Let d(c) = 3*b(c) - 5*n(c). Factor d(m).
-5*(m - 1)*(m + 37)
Suppose 870 - 824 = 4*n + 2*k, -3*n - 5*k = -101. Find f such that -2/3*f**3 - 16/3*f + 32/3 - 14/3*f**n = 0.
-4, 1
Let i(l) be the second derivative of 0*l**2 + 0 - 1/7*l**4 + 0*l**3 - 1/5*l**5 - 2/147*l**7 - 89*l - 2/21*l**6. Factor i(q).
-4*q**2*(q + 1)**2*(q + 3)/7
Find x, given that -60*x**3 - 149*x**4 - 963*x**2 - 1366*x**3 - 1194*x**2 - 737*x**3 + 21*x**5 - 286*x**4 - 450*x = 0.
-3, -1, -2/7, 0, 25
Let s be 137/15 + (-24)/(-900)*-5. Let v be ((-81)/s)/54 - 15/(-36). Suppose v*d - 3/2 + 1/4*d**2 = 0. Calculate d.
-3, 2
Determine d so that 148*d - 1/2*d**4 + 99/2 + 48*d**3 + 147*d**2 = 0.
-1, 99
Find n, given that -1/4*n**3 - 25*n**2 - 12943/2 - 3053/4*n = 0.
-43, -14
Let s = 23922/161 - 3378/23. Factor s*g**3 + 0*g**2 + 3/7 - 9/7*g.
3*(g + 1)*(2*g - 1)**2/7
Let f(j) be the first derivative of -5*j**6/6 - 18*j**5 + 235*j**4/4 + 200*j**3 - 970*j**2 + 1200*j - 8097. Let f(m) = 0. Calculate m.
-20, -3, 1, 2
Let m be 3 + 2 + 6/(-2). Suppose 3*r**m - 3715*r + 3725*r + 3*r**2 - r**2 = 0. What is r?
-2, 0
Suppose 16676 = 7*f - 4*t, 5*f - 5488 = 5*t + 6447. Factor f*a**2 + 53/2*a**4 + 1/2*a**5 - 3888*a - 5832 + 458*a**3.
(a - 2)*(a + 1)*(a + 18)**3/2
Let j(a) be the first derivative of -63/2*a - 33/2*a**2 - 1/2*a**3 - 35. Factor j(r).
-3*(r + 1)*(r + 21)/2
Factor 0 + 2/7*h**5 + 40/7*h**4 + 0*h**2 - 138/7*h**3 + 0*h.
2*h**3*(h - 3)*(h + 23)/7
Let v(u) be the second derivative of 1/30*u**6 + 1/2*u**3 + 1 + 9/20*u**5 - 32*u - 18*u**2 + 23/12*u**4. Factor v(t).
(t - 1)*(t + 3)**2*(t + 4)
Let o be ((-6592)/2060)/(7/(-10)). Solve -o + 0*a**2 - 2/7*a**3 + 24/7*a = 0 for a.
-4, 2
Let l(q) be the first derivative of q**6/21 + 44*q**5/7 + 31*q**4/2 + 72*q**3/7 - 1523. Find r such that l(r) = 0.
-108, -1, 0
Let i(v) be the first derivative of -v**6/36 + 113*v**5/60 + 23*v**4/6 - 3*v**3 + 105. Let z(j) be the third derivative of i(j). Let z(b) = 0. What is b?
-2/5, 23
Let u = 2600 - 49398/19. Let a(c) = c**3 - 12*c**2 + 3. Let s be a(12). Factor u*f**2 + 0 + 2/19*f - 2/19*f**s - 2/19*f**4.
-2*f*(f - 1)*(f + 1)**2/19
Let h(l) be the third derivative of -5*l**8/84 - 95*l**7/42 - 13*l**6/2 - 43*l**5/12 + 55*l**4/12 + 3342*l**2. Find d such that h(d) = 0.
-22, -1, 0, 1/4
Let u(t) = t**3 + 6*t**2 - t - 3. Let f be u(-6). Let -3*h**2 - 34*h**2 - 42*h**f - 23*h**2 - 23*h**3 - 5*h**4 = 0. What is h?
-12, -1, 0
Suppose -5*m - 296 = -2*x, -5*x = 6*m - 5*m + 70. Let i = -56 - m. Factor 22*j**3 + 5*j**i + 8*j + 12*j**2 - 27*j**3 - 27*j**3 + 7*j**4.
4*j*(j - 2)*(j - 1)*(3*j + 1)
Let m(k) = 28*k - 50. Let r be m(2). Let p(t) be the first derivative of -3 + 0*t**2 - 12/5*t**5 + 0*t**3 - 9/4*t**4 + 0*t - 1/2*t**r. Factor p(z).
-3*z**3*(z + 1)*(z + 3)
Suppose 777*g - 770*g - 14 = 0. Factor 1/2*y - g + 1/4*y**2.
(y - 2)*(y + 4)/4
Solve 616/3*p**2 + 1214*p + 2/3*p**3 + 1812 = 0.
-302, -3
Let r(s) be the first derivative of 8/39*s**3 + 231 - 37/13*s**2 + 18/13*s. Factor r(w).
2*(w - 9)*(4*w - 1)/13
Let n = -368347/4 - -92087. Factor 3/4*b**2 - 3 + b - n*b**3.
-(b - 3)*(b - 2)*(b + 2)/4
Let c(h) = -h**2 - h - 14. Let v(r) = 10*r**2 - 120*r + 790. Let u(g) = -5*c(g) - v(g). Find f such that u(f) = 0.
9, 16
Let a(f) be the first derivative of f**3/4 - 99*f**2/8 + 189*f - 839. Suppose a(j) = 0. Calculate j.
12, 21
Let p(j) be the first derivative of -2*j**3/33 - 223*j**2/11 - 112. Let p(c) = 0. Calculate c.
-223, 0
Let f(l) be the first derivative of -l**5 + 125*l**4/4 - 280*l**3 + 360*l**2 + 2172. Factor f(m).
-5*m*(m - 12)**2*(m - 1)
Let z(k) be the first derivative of -1/8*k**4 - 262 + 19*k + 20/3*k**3 - 77/4*k**2. Factor z(v).
-(v - 38)*(v - 1)**2/2
Factor 0 + 1/8*u**2 + 91/8*u.
u*(u + 91)/8
Suppose 177*z = 182*z + 4*q - 34, 4*z - 3*q + 10 = 0. Let w(p) be the first derivative of 1/6*p**4 + 0*p + 52 + 0*p**z + 2/3*p**3. Factor w(i).
2*i**2*(i + 3)/3
Let u(p) be the third derivative of -361*p**7/210 - 3173*p**6/120 + 1437*p**5/10 - 427*p**4/6 + 44*p**3/3 - p**2 + 3*p - 436. Find y such that u(y) = 0.
-11, 2/19, 2
Let v(f) be the third derivative of 2*f**7/105 - 41*f**6/30 - 43*f**5/5 - 131*f**4/6 - 88*f**3/3 + 1934*f**2. Factor v(t).
4*(t - 44)*(t + 1)**3
Let o(p) be the third derivative of 9/10*p**6 + 1/5*p**5 + 8/3*p**3 - 10/3*p**4 + 0*p + 0 + 76*p**2. Factor o(i).
4*(i + 1)*(3*i - 2)*(9*i - 2)
Let a(f) be the third derivative of -f**7/1050 + 27*f**6/100 - 112*f**5/5 + 320*f**4/3 + 3263*f**2. Factor a(y).
-y*(y - 80)**2*(y - 2)/5
Suppose -p - k = -4*p + 3, 2*p = 3*k - 5. Suppose 0 = -0*z + 3*z + 6*z. Determine j so that 17*j**3 - 18*j**3 + z + 0 + j**p = 0.
0, 1
Suppose 6*k - 1182 - 528 = 0. What is v in -2*v**4 + 8 + k*v**3 - 571*v**3 - 22*v + 18*v**2 + 284*v**3 = 0?
-4, 1
Let z = -132 + 134. Determine s, given that 14*s + 192*s**5 + 6 + 221*s**z + 816*s**4 + 97*s + 415*s**2 + 1155*s**3 = 0.
-2, -1, -1/8
Let c(x) be the second derivative of 12*x + 8/3*x**2 - 1/18*x**4 - 4 + 7/9*x**3. Determine h, given that c(h) = 0.
-1, 8
Factor 11 + 21/2*x**2 + 1/4*x**3 - 87/4*x.
(x - 1)**2*(x + 44)/4
Let v(k) = -9*k**3 + 16*k**2 - 16*k. Let c(o) = 10*o**3 - 16*o**2 + 16*o. Let z = -148 + 143. Let a(b) = z*c(b) - 6*v(b). Factor a(n).
4*n*(n - 2)**2
Let r be (-192)/(-693) - (-2)/(-11). Let l be (-12056)/9240 + (-7)/(-5). Suppose -2/21 + l*m**2 - r*m + 2/21*m**3 = 0. Calculate m.
-1, 1
Let t(a) = -a**3 - 57*a**2 - 765*a + 110. Let h be t(-22). Determine j so that 0*j + 3/4*j**4 + h*j**3 - 3/4*j**2 + 0 = 0.
-1, 0, 1
Let d**2 - 93/2 - 59/2*d = 0. What is d?
-3/2, 31
Let n = 300 + -299. Let q(f) = -f**4 - 5*f**3 + 6*f**2. Let b(m) = -m**3 + m**2. Let d(p) = n*q(p) - 4*b(p). Find t such that d(t) = 0.
-2, 0, 1
Let o(k) be the first derivative of -11*k**2/2 + 24*k + 190. Let g be o(2). Solve -p - 2/7 - 9/7*p**g - 5/7*p**3 - 1/7*p**4 = 0.
-2, -1
Let v(k) = 19*k**3 - 88*k**2 - 91*k - 8. Let p(i) = -52*i**3 + 263*i**2 + 271*i + 22. Let f(a) = -4*p(a) - 11*v(a). Factor f(r).
-r*(r + 1)*(r + 83)
Let j = 10345/3 - 3448. Let r be 5 + 0 + 9/(-6)*2. Factor j - 5/12*f + 1/12*f**r.