 3*c + 84. Let a be h(-28). Let y(f) be the second derivative of 5/12*f**4 - 5/3*f**3 - 14*f + a + 5/2*f**2. Solve y(m) = 0.
1
Suppose -3*d + 3*q = 12, -2*d - 5*q = d - 28. Let c(n) = -n**3. Let b(t) = 3*t**3 + 7*t**2 - 11*t + 5. Let m(a) = d*b(a) + 4*c(a). Factor m(p).
-(p - 5)*(p - 1)**2
Solve 3/4*w**2 - 15/8*w + 3/8*w**3 - 9/4 = 0 for w.
-3, -1, 2
Let w(l) be the first derivative of -1/90*l**6 + 0*l - 1/3*l**3 + 1/30*l**5 + 11 + 0*l**2 + 1/3*l**4. Let v(o) be the third derivative of w(o). Factor v(z).
-4*(z - 2)*(z + 1)
Let k(q) be the second derivative of q**6/120 - q**5/40 - 37*q**3/3 + 2*q - 6. Let j(z) be the second derivative of k(z). Factor j(o).
3*o*(o - 1)
What is c in 1/6*c**5 - 7/3*c - 23/6*c**3 + 1/2*c**4 + 0 + 11/2*c**2 = 0?
-7, 0, 1, 2
Let v be 2/(-21)*1*36/(-6). Let n(a) be the first derivative of 17/7*a**4 + v*a**6 + 68/35*a**5 + 4/3*a**3 + 0*a + 24 + 2/7*a**2. Find y such that n(y) = 0.
-1, -1/2, -1/3, 0
Solve 8*x**5 - 1093*x**4 + 45962*x**3 + 78732 - 34799*x - 163*x**4 + 269904*x**2 - 268951*x = 0 for x.
-6, 1/2, 81
Let -142*j**2 - 86*j**2 - 7463*j + 965*j - 2*j**3 = 0. Calculate j.
-57, 0
Let r(d) be the third derivative of -1/240*d**6 - 3 + 0*d + 0*d**4 + 0*d**3 - 23*d**2 + 3/40*d**5. Determine o so that r(o) = 0.
0, 9
Determine p so that -1820/3 + 274/3*p - 2/3*p**2 = 0.
7, 130
Let u(t) be the first derivative of t**5/5 + 12*t**4 + 46*t**3/3 - 24*t**2 - 47*t - 2556. What is p in u(p) = 0?
-47, -1, 1
Let s(p) be the third derivative of -p**8/20160 + p**7/5040 + p**6/120 + p**5/4 - 2*p**2 + 42. Let z(q) be the third derivative of s(q). Factor z(n).
-(n - 3)*(n + 2)
Let k(s) = -22*s**3 - 6*s**2 - 6*s. Let l be k(-1). Suppose 0 = l*v - 10*v. Solve 1/2*r**3 + 8*r + 4*r**2 + v = 0.
-4, 0
Let a(j) be the second derivative of 2*j**2 - 46*j + 23/4*j**4 - 16/3*j**3 + 7/20*j**5 - 1 - 49/15*j**6. What is b in a(b) = 0?
-1, 2/7, 1/2
Find m, given that -26*m**2 + 8805 + 18*m**3 + 10*m**4 - 8789 + 18*m**3 - 36*m = 0.
-4, -1, 2/5, 1
Let z be (-8 - 0) + -5 + ((-63)/(-18) - -10). Factor 3/8*j**2 + 0 - z*j + 1/8*j**3.
j*(j - 1)*(j + 4)/8
Let x(a) be the third derivative of a**7/1050 + 173*a**6/300 - 349*a**5/300 - 347*a**4/60 + 13600*a**2. Suppose x(z) = 0. Calculate z.
-347, -1, 0, 2
Let n(g) be the third derivative of -g**7/945 - 2*g**6/135 + 17*g**5/270 + 17*g**4/9 + 20*g**3/3 - 961*g**2. Let n(y) = 0. Calculate y.
-6, -1, 5
Let z(d) = -763*d + 54175. Let y be z(71). Determine q so that 0 + 6/5*q - 12/5*q**y + 6/5*q**3 = 0.
0, 1
Let d(v) be the third derivative of -v**7/140 + 7*v**6/80 - 17*v**5/40 + 17*v**4/16 - 3*v**3/2 + 3*v**2 - 81*v. Find g, given that d(g) = 0.
1, 2, 3
Let q = 949847/3 + -316615. Factor q*d**4 + 16/3 + 8/3*d - 4*d**2 - 2/3*d**3.
2*(d - 2)**2*(d + 1)*(d + 2)/3
Let c(t) be the first derivative of -t**6/6 + 2*t**5/5 + 13*t**4/4 - 38*t**3/3 + 12*t**2 + 971. Find m, given that c(m) = 0.
-4, 0, 1, 2, 3
Let d be 11568/56 + (-6)/(-14). Let c be (-7 - (-3348)/d) + -9. Determine y so that 8/23*y**3 + 0 - 4/23*y**5 + 6/23*y**2 - c*y - 6/23*y**4 = 0.
-2, -1, 0, 1/2, 1
Let y(t) be the second derivative of -7*t**5/45 + t**4/18 + 2*t**3/27 + 2354*t. Find b such that y(b) = 0.
-2/7, 0, 1/2
Let b = 583 - 578. Solve -2*z**3 + 145*z**2 - b*z**3 + 2*z**3 - z**3 + z**3 = 0.
0, 29
Suppose 0 = -p + 165 - 197. Let i be (p/(-130) + 0)/((-94)/(-235)). Suppose -2/13*s - 2/13*s**3 + 12/13 - i*s**2 = 0. Calculate s.
-3, -2, 1
Let s(n) = n**2 + 193*n + 1124. Let p be s(-6). Factor 40/7*g**p + 8 - 132/7*g.
4*(2*g - 1)*(5*g - 14)/7
Factor 1797167918 - 143063918 - 17*h**4 - 557419600*h + 2024580*h**2 + 18*h**4 - 2463*h**3.
(h - 820)**3*(h - 3)
Let p(h) = 2*h**2 - 288*h - 2086. Let k be p(-7). Let r(b) be the first derivative of -6/5*b + k + 3/2*b**2 - 3/5*b**3. Suppose r(g) = 0. Calculate g.
2/3, 1
Let l(t) be the second derivative of t**5/140 - 29*t**4/42 + 187*t**3/14 + 4356*t**2/7 - 516*t + 1. Suppose l(v) = 0. Calculate v.
-8, 33
Solve 36*n - 9*n**3 + 376/5 + 1/5*n**4 - 98/5*n**2 = 0.
-2, 2, 47
Suppose -7*o + 5*n = -9*o + 39, 0 = 3*o + 2*n - 20. Suppose -2*v + 5 = -7. Factor -6*b**4 + 0*b**o + 0 + v*b**3 + 3/2*b**5 + 0*b.
3*b**3*(b - 2)**2/2
Let t be (-79 - 11618/(-148))*(2 - 2). Suppose 24/7*p**3 - 2/7*p**4 - 90/7*p**2 + t + 100/7*p = 0. Calculate p.
0, 2, 5
Let b be 2/(-3 - (0 - (-2 - -6))). Determine i, given that -12*i - 7*i**2 + i**b - 3*i + i**2 = 0.
-3, 0
Let t(w) be the second derivative of -52/3*w**3 - 1/3*w**4 + 0*w**2 + w + 132. Solve t(a) = 0 for a.
-26, 0
Factor 183*d**3 - 206*d**3 - 7*d**5 + 24*d**4 + 9*d**5 + 0*d**5 - 3*d**5.
-d**3*(d - 23)*(d - 1)
Let n(b) be the first derivative of b**4/20 + 572*b**3/15 + 40898*b**2/5 - 1720. Determine k so that n(k) = 0.
-286, 0
Factor -256*t + 0 + 1/4*t**2.
t*(t - 1024)/4
Let o(p) = -181*p**3 - 521*p**2 + 38*p - 12. Let g(m) = 182*m**3 + 520*m**2 - 43*m + 15. Let z(r) = 4*g(r) + 5*o(r). Factor z(u).
-3*u*(u + 3)*(59*u - 2)
Let s(d) = 67*d**4 + 277*d**3 - 429*d**2 + 75*d. Let n(m) = -33*m**4 - 139*m**3 + 215*m**2 - 37*m. Let p(f) = 5*n(f) + 3*s(f). Find b such that p(b) = 0.
-5, 0, 2/9, 1
Let x = -64 - -68. Suppose 0 = x*p + 11 - 47. Factor -l - 2*l + 17*l**2 - p*l**3 - 5*l**2.
-3*l*(l - 1)*(3*l - 1)
Let o be -2 - 2 - (8 + -1)/((-9 - -16)/(-7)). Factor -2/9*v**o + 0 - 2/9*v**4 + 112/9*v**2 - 32*v.
-2*v*(v - 4)**2*(v + 9)/9
Let y(o) be the third derivative of 5*o**8/112 + 8*o**7/21 - 19*o**6/8 - 17*o**5/2 + 425*o**4/6 - 140*o**3 + 1366*o**2 + 1. Suppose y(u) = 0. Calculate u.
-7, -3, 2/3, 2
Factor 2/5*p**2 + 3368/5*p + 1417928/5.
2*(p + 842)**2/5
Let a be -83 + 54 + 1700/51. Find s such that a*s**2 + 1/3*s**4 - 14/3 - 3*s**3 + 3*s = 0.
-1, 1, 2, 7
Let n(q) = 2*q - 25. Let f be n(9). Let w(y) = 9*y**2 + 18*y + 6. Let c(p) = -11*p**2 - 17*p - 7. Let s(v) = f*w(v) - 6*c(v). Suppose s(k) = 0. Calculate k.
0, 8
Let j(x) be the first derivative of -2*x**6/27 - 22*x**5/45 - 8*x**4/9 - 2*x**3/27 + 2*x**2/3 - 8399. What is l in j(l) = 0?
-3, -2, -1, 0, 1/2
Let c(b) = -15*b**3 + 63*b**2 + 1005*b + 1081. Let g(k) = -7*k**3 + 31*k**2 + 503*k + 535. Let q(s) = 5*c(s) - 11*g(s). Find l, given that q(l) = 0.
-10, -1, 24
Let j(a) be the first derivative of 1/5*a**5 + a**2 - 1/3*a**3 + 0*a + 28 - 1/2*a**4. Factor j(l).
l*(l - 2)*(l - 1)*(l + 1)
Suppose -1152 = -194971*u + 194395*u. Factor -2/3*g**5 - 4/3*g**4 - 28/3*g**u + 0 + 10/3*g + 8*g**3.
-2*g*(g - 1)**3*(g + 5)/3
Let c(o) be the second derivative of -10*o**2 + 0 - 1/15*o**4 + 2*o + 4/3*o**3. Factor c(u).
-4*(u - 5)**2/5
Let s = -379641/10 + 37965. Let u(i) be the first derivative of -41 + 1/15*i**3 + 8/5*i + s*i**2. Let u(l) = 0. Calculate l.
-8, -1
Let j(y) = 12*y - 8*y - 12 - 23*y**2 + 27*y**2. Suppose 3 = -2*w - 5. Let p(s) = -4*s**2 - 3*s + 13. Let b(o) = w*p(o) - 3*j(o). Factor b(x).
4*(x - 2)*(x + 2)
Let s(m) be the second derivative of 2 + 0*m**2 + 1/60*m**5 - 1/9*m**4 + 0*m**3 + 17*m. Factor s(o).
o**2*(o - 4)/3
Let a(k) = 12*k + 106. Let g be a(-6). Let o be (-74)/(-12) + (-204)/g. Find s, given that -o*s**3 - 1/6*s**2 + 1/3*s + 0 = 0.
-2, 0, 1
Let h be (-2)/(-19) + (-116)/1102. Let d(f) be the second derivative of h - 1/3*f**4 - 3/5*f**5 - 6*f + 2*f**2 + 2*f**3. Factor d(r).
-4*(r - 1)*(r + 1)*(3*r + 1)
Let b = -743171 - -208831501/281. Let n = b - 2/1405. Let -n + 2/5*k**2 + 8/5*k - 2/5*k**3 = 0. What is k?
-2, 1, 2
Let k(u) be the first derivative of -u**4/14 + 62*u**3/21 - 34*u**2 + 720*u/7 + 6778. Factor k(n).
-2*(n - 20)*(n - 9)*(n - 2)/7
Factor 0 - 4/7*s**4 - 172/7*s**3 + 0*s**2 + 0*s.
-4*s**3*(s + 43)/7
Let r be -59 - -54 - ((-11)/1 + 1). Solve -2*u**5 + 188*u**2 + r*u**3 - 203*u**2 - 3*u**5 + 6*u**4 + 9*u**4 = 0 for u.
-1, 0, 1, 3
Let v(a) be the third derivative of a**5/12 + 125*a**4/3 - 4*a**2 - 2*a + 32. Suppose v(z) = 0. Calculate z.
-200, 0
Let z(x) = 4*x**3 - 9*x**2 + 14*x + 101. Let y(p) = -7*p**3 + 12*p**2 - 20*p - 152. Let j(q) = -5*y(q) - 8*z(q). Factor j(w).
3*(w - 2)*(w + 2)*(w + 4)
Let c(l) = -3*l**3 + 9*l**2 + 9*l - 26. Let g be c(2). Let r(f) be the first derivative of 0*f - 1/8*f**g + 0*f**2 + 0*f**3 + 29 + 1/40*f**5. Factor r(t).
t**3*(t - 4)/8
Let f = -74 + 79. Let a = 28 + -24. Let 2*q**4 + 2*q**5 - f - 13 - 4*q**3 + 19 - 2*q**2 - q**a + 2*q = 0. What is q?
-1, -1/2, 1
Let h(o) be the second derivative of o**4/3