128*p**3 - 368*p**2 - 480*p + 2015. Find a such that o(a) = 0.
-30, -2
Let t = 3027 + -3027. Let o(m) be the third derivative of 10/21*m**3 - 15*m**2 + t*m + 0 - 3/14*m**4 + 1/35*m**5 + 1/210*m**6. Factor o(j).
4*(j - 1)**2*(j + 5)/7
Let z(i) be the first derivative of 14*i**3/3 - 6*i**2 - 191. Solve z(w) = 0 for w.
0, 6/7
Determine f so that 616*f**2 + 101*f**4 - 409*f**3 - 823/2*f + 1/2*f**5 + 103 = 0.
-206, 1
Let j = 3565/6 + -1187/2. Let b(t) be the third derivative of -2/5*t**5 + 8*t**2 + 1/12*t**6 + 0 - j*t**3 + 3/4*t**4 + 0*t. Factor b(s).
2*(s - 1)**2*(5*s - 2)
Solve -14*c + 6536 + 12*c**2 - 6536 + 3*c**3 - c**3 = 0 for c.
-7, 0, 1
Let s(w) be the second derivative of w**7/15120 - w**6/4320 - w**5/360 + w**4/4 - 27*w**2 - 115*w. Let h(o) be the third derivative of s(o). Factor h(n).
(n - 2)*(n + 1)/6
Let v be (1 + -2)/1 + (97 - 0). Suppose -v = -13*c + 5*c. Determine k, given that -2*k**3 - 13*k**2 + 18 + 3*k + 7*k**3 - k**4 - c*k**3 = 0.
-3, -2, 1
Let b = 6 + -19. Let y(v) = v**3 + 18*v**2 + 63*v - 21. Let u be y(b). Solve -8/5*h + 6/5*h**3 - 2/5*h**u + 0 - 4/5*h**4 + 8/5*h**2 = 0.
-2, 0, 1
Let j be (-2 + 16 + 4930/(-348))/(((-6)/4887)/1). Solve j*n - 3*n**2 - 135/4 = 0.
1/4, 45
Let x(k) = -2*k + 113. Let c be x(15). Factor 6 - 12*d**2 - c*d - 10*d**2 - 6*d**3 + 73*d.
-2*(d + 1)*(d + 3)*(3*d - 1)
Let -70*q**2 - 2*q**4 + 60*q - 2297*q**3 - 2*q**4 + 2349*q**3 + 186*q**2 = 0. Calculate q.
-1, 0, 15
Let f(j) be the second derivative of -j**6/360 + j**5/10 + j**3/2 + 2*j**2 - j + 28. Let b(k) be the second derivative of f(k). Let b(s) = 0. What is s?
0, 12
Let t be 5 - (530/(-5))/(-2). Let f be ((t/(-14))/4)/((-6)/(-28)). Suppose -10*b**3 - 2*b**f - 4*b**2 - 3 + 3 - 2*b**2 + 18*b = 0. What is b?
-3, 0, 1
Factor 64*n + 154*n**2 + 19*n + 14 + 8 - 12.
(11*n + 2)*(14*n + 5)
Let s(w) = w - 3. Let y be s(1). Let i(n) = 47*n**2 + n + 2. Let r be i(y). Factor 203*t**2 - r*t**2 + 5*t - 5 - 5.
5*(t + 1)*(3*t - 2)
Let x(t) be the third derivative of 3*t**5/20 + t**4/4 + 3*t**3/2 - 25*t**2. Let z be x(-6). Let m**3 - 297 - 11*m**2 + z = 0. What is m?
0, 11
Let n(r) be the third derivative of r**5/120 - r**4/6 - 11*r**3/4 - 2*r**2 - 450. Factor n(f).
(f - 11)*(f + 3)/2
Let d(w) be the second derivative of -w**7/2100 - 7*w**6/1200 + 3*w**5/100 - 47*w**2/2 + 93*w. Let i(q) be the first derivative of d(q). Solve i(z) = 0 for z.
-9, 0, 2
Factor -4/11*a**3 + 2/11*a**4 + 12/11*a + 0 - 10/11*a**2.
2*a*(a - 3)*(a - 1)*(a + 2)/11
Let o = 537 - 593. Let m be (-1)/((-24)/o)*(-4)/49. Factor 2/21*i**2 - m*i - 2/7.
2*(i - 3)*(i + 1)/21
Factor 1604708 - 6440*n**3 + 290*n**4 - 772464 - 301840*n - 448084 + 66640*n**2 - 5*n**5.
-5*(n - 14)**4*(n - 2)
Let l(a) be the first derivative of 0*a**2 - 38/3*a**3 - 1/4*a**4 + 0*a - 187. Determine y, given that l(y) = 0.
-38, 0
Let q(i) be the third derivative of -i**6/30 - i**5/3 + 17*i**4/6 + 14*i**3 + 355*i**2. Factor q(u).
-4*(u - 3)*(u + 1)*(u + 7)
Let c(k) = -k**2 + 14*k + 15. Let s be c(15). Suppose -313*m + 316*m = s. Determine i so that m + 2/11*i**2 - 6/11*i = 0.
0, 3
Let m = 254939/4 - 63733. Factor -1/4*t**4 + 7/4*t**3 + 3/2 - m*t - 5/4*t**2.
-(t - 6)*(t - 1)**2*(t + 1)/4
Factor 2/17*c**3 + 20/17*c**2 + 0 + 18/17*c.
2*c*(c + 1)*(c + 9)/17
Let i(f) be the first derivative of 0*f + 10/3*f**2 - 48 - 2/27*f**3. Determine c so that i(c) = 0.
0, 30
Let a(d) be the third derivative of -3/2*d**4 - 3/28*d**8 + 3/5*d**6 + 4/105*d**7 + 6*d**2 + 0 + 4/3*d**3 + 0*d - 4/15*d**5. Suppose a(x) = 0. Calculate x.
-1, 2/9, 1
Let h be (10/330*-2)/(352/(-2904)). Solve 0 + n**2 + h*n**3 + 1/2*n = 0.
-1, 0
Let u(v) = 65*v**2 - 884*v - 901. Let b(l) = -41*l**2 + 590*l + 601. Let t(n) = -8*b(n) - 5*u(n). Determine m, given that t(m) = 0.
-1, 101
Let s(c) be the third derivative of c**5/60 - 191*c**4/6 + 72962*c**3/3 - 1782*c**2. Factor s(g).
(g - 382)**2
Let b(z) be the third derivative of z**5/20 + 38*z**4 - 1627*z**2. Determine t, given that b(t) = 0.
-304, 0
Let r = -397/105 + 159/35. Let y(h) be the first derivative of 10 - r*h**3 + 6/7*h**4 - 12/35*h**5 + 0*h + 1/21*h**6 + 0*h**2. Let y(s) = 0. Calculate s.
0, 2
Factor a**3 - 2*a**3 + 18634*a**2 - 9319*a**2 + 22*a - 9324*a**2.
-a*(a - 2)*(a + 11)
Factor -120 - 2/3*g**2 + 24*g.
-2*(g - 30)*(g - 6)/3
Solve 507*v**3 + 8721/2*v + 2214*v**2 + 3240 + 1/2*v**5 + 46*v**4 = 0 for v.
-80, -3
Find o such that 624/5 - 2/15*o**2 - 118/15*o = 0.
-72, 13
Suppose 32 = 155*l - 153*l. Suppose -323*c**2 - 4*c**4 - 372*c**2 - l*c + 52*c**3 + 160 + 575*c**2 = 0. What is c?
-1, 2, 10
Let b(q) be the second derivative of 9*q**6/10 + 369*q**5/5 + 1597*q**4 - 4592*q**3 + 4704*q**2 + 189*q - 12. Let b(w) = 0. What is w?
-28, 2/3
Suppose 3*p + 4*n = -2, -25*p + 27*p + 4 = -4*n. Determine f, given that 4/3*f**p + 0 + 2/3*f + 2/3*f**3 = 0.
-1, 0
Factor -48/7*g + 0 + 4*g**2 - 2/7*g**3.
-2*g*(g - 12)*(g - 2)/7
Let w(x) be the second derivative of -88*x + 2/33*x**4 + 0 + 1/22*x**5 + 0*x**2 + 0*x**3 + 1/165*x**6. Determine k, given that w(k) = 0.
-4, -1, 0
Let 47/4*r + 1/4*r**3 + 357/4 - 21/4*r**2 = 0. Calculate r.
-3, 7, 17
What is j in -102 + 3/4*j**4 - 225/4*j**2 + 363/2*j - 24*j**3 = 0?
-4, 1, 34
Let y(f) be the second derivative of f**5/50 + 103*f**4/15 + 3*f - 242. Factor y(m).
2*m**2*(m + 206)/5
Let p(u) be the first derivative of -2*u**5/5 + 11*u**4/2 - 40*u**3/3 - 32*u**2 - 1225. Factor p(d).
-2*d*(d - 8)*(d - 4)*(d + 1)
Suppose -5*v + 97 = -2*t, -2*v + 123 = -3*t + v. Let b be 8/6*t/64*-4. Suppose f**2 + 6*f + b - 2 - 4*f = 0. Calculate f.
-1
Suppose -82/3*x**3 + 86/3*x - 148/3*x**2 - 4/3*x**5 + 29/3 + 119/3*x**4 = 0. Calculate x.
-1, -1/4, 1, 29
Let j = -2624 + 9249. Solve j*d - 5*d**4 - 6550*d + 24*d**2 - 90 - 15*d**3 + 11*d**2 = 0.
-3, 1, 2
Let z(u) = u**2 + 9*u - 67. Let r be z(5). Suppose -r*c**4 - 2162 + 21*c**2 + 39*c + c**3 - 4*c**3 + 2180 = 0. What is c?
-2, -1, 3
Solve -3969/2 + 125/2*w**2 - 3843/2*w - 1/2*w**3 = 0 for w.
-1, 63
Let v(p) be the third derivative of -p**6/780 + p**5/130 + p**4/39 - 3*p**2 + 7*p - 6. Factor v(y).
-2*y*(y - 4)*(y + 1)/13
Let n(y) be the third derivative of -y**5/4 - 67*y**4/4 - 52*y**3 - 166*y**2 - 2*y. What is c in n(c) = 0?
-26, -4/5
Let a(o) be the second derivative of -4*o**4 + 3/2*o**3 + 15*o**2 + 3/5*o**6 - 3/10*o**5 + 2*o - 1/14*o**7 - 3. Suppose a(t) = 0. Calculate t.
-1, 1, 2, 5
Let f(c) = 8*c**2 - 4*c. Let x(t) = -t**3 - 9*t**2 + 7*t. Let v = 188 + -184. Let h(u) = v*x(u) + 3*f(u). Factor h(n).
-4*n*(n - 1)*(n + 4)
Let c be (-45)/(-33*(-460)/(-506)). Solve 45/2*z + c*z**2 + 0 = 0.
-15, 0
Suppose 0 = -1221*j + 1200*j + 84. Let p(m) be the first derivative of -16/5*m**2 + 23/5*m**3 - j*m**5 - 8 + 1/4*m**4 + 4/5*m. Solve p(l) = 0 for l.
-1, 1/4, 2/5
Let i(s) = -1013*s**2 + 23151*s + 33524100. Let n(d) = 225*d**2 - 5788*d - 8381025. Let f(o) = -2*i(o) - 9*n(o). Suppose f(t) = 0. Calculate t.
-2895
Let j(c) be the third derivative of c**5/450 + c**4/18 - 56*c**3/45 - 594*c**2. Solve j(t) = 0.
-14, 4
Let m(b) be the second derivative of -b**5/20 + b**4/36 + 16*b**3/9 - 111*b**2/2 - b + 79. Let i(x) be the first derivative of m(x). Let i(y) = 0. Calculate y.
-16/9, 2
Solve -32/5 + 11/5*w**3 - 4/5*w + 24/5*w**2 + 1/5*w**4 = 0 for w.
-8, -2, 1
Let d(o) = 7*o**2 + 741*o + 704. Let g(r) = -11*r**2 - 1114*r - 1055. Let p(f) = -8*d(f) - 5*g(f). Suppose p(a) = 0. Calculate a.
-357, -1
Let u(j) be the first derivative of 0*j + 129 + 2/3*j**3 - 4/3*j**2 + 1/6*j**4. Factor u(h).
2*h*(h - 1)*(h + 4)/3
Let b(n) = 293*n**2 - 2947*n + 172. Let r be b(10). Factor -6/7*d**r - 5/7*d + 1/7*d**5 + 4/7*d**3 + 0 + 6/7*d**4.
d*(d - 1)*(d + 1)**2*(d + 5)/7
Let m(l) be the first derivative of -l**4/42 + 4*l**3/21 + 24*l**2/7 - 1900. Factor m(x).
-2*x*(x - 12)*(x + 6)/21
Let j(z) be the second derivative of -7*z**5/45 + 407*z**4/54 - 29*z**3/27 + 5590*z. Factor j(l).
-2*l*(l - 29)*(14*l - 1)/9
Let d(l) = -26*l**3 - 2*l**2 + 3 + 20*l**4 - 28*l**4 + 6*l**3 + 33*l. Let u(s) = 9*s**4 + 20*s**3 + s**2 - 34*s - 4. Let k(f) = 4*d(f) + 3*u(f). Factor k(w).
-5*w*(w - 1)*(w + 2)*(w + 3)
Let v be ((-26)/(-3) - 8)/(29/87). Let s(w) be the first derivative of 0*w**v + 2/5*w**3 + 0*w + 35 + 1/10*w**4. Factor s(h).
2*h**2*(h + 3)/5
Solve -2364 - 2388 + 4796 - p**3 + p - 44*p**2 = 0 for p.
-44, -1, 1
Su