3/30 - s**2/5 + 77*s - 320. Let k(a) be the first derivative of r(a). Solve k(x) = 0 for x.
-2, -1, 1
Let t(a) be the third derivative of a**5/15 - 347*a**4/3 + 462*a**3 + 3707*a**2. Factor t(o).
4*(o - 693)*(o - 1)
Let s(m) be the third derivative of m**8/60480 - m**6/540 - 13*m**5/60 + m**3/2 - 63*m**2. Let d(h) be the third derivative of s(h). Factor d(w).
(w - 2)*(w + 2)/3
Let o(t) be the second derivative of -t**3/2 + 11*t**2 - 15*t. Let c be o(6). Solve -3*n**c + 3*n**3 - 3*n**5 - 9 - 8*n**4 + 2*n**4 + 21*n**2 - 3 = 0 for n.
-2, -1, 1
Suppose -4*z**3 + 6*z + 9*z + 25639 - 44*z**2 - 25595 - 11*z = 0. What is z?
-11, -1, 1
Factor -2*m**2 - 924*m - 39942 - 36812 - 23918 - 24547 + 18497.
-2*(m + 231)**2
Factor -906*l**2 - 440697728 + 1/4*l**3 + 1094448*l.
(l - 1208)**3/4
Let w(b) be the first derivative of -b**5/90 - 7*b**4/54 - 11*b**3/27 - 5*b**2/9 + 88*b + 39. Let t(x) be the first derivative of w(x). Factor t(h).
-2*(h + 1)**2*(h + 5)/9
Let r(q) = -19*q**2 - 75*q - 220. Let a(i) = -425*i**2 - 1650*i - 4840. Let t(c) = -2*a(c) + 45*r(c). Solve t(d) = 0 for d.
-11, -4
Let l(b) = -5*b**2 + 6*b - 4. Let c = -21 - -25. Let g(y) = -y**2 - 1. Let q(d) = c*g(d) - l(d). Factor q(w).
w*(w - 6)
Suppose -725 = -161*s - 81. Factor 0*c**2 + 0 - 16/13*c**3 + 0*c - 2/13*c**s.
-2*c**3*(c + 8)/13
Find l such that -l**4 - 26*l**3 - 840*l**2 - 7*l**3 - 2502*l - 39*l**3 - l**4 - 634*l = 0.
-14, -8, 0
Let p(i) be the first derivative of -i**6/30 + i**4/2 - 4*i**3/3 + 3*i**2/2 - 4*i/5 - 195. Factor p(y).
-(y - 1)**4*(y + 4)/5
Let a(t) be the first derivative of -t**3/5 - 169*t**2/5 + 113*t/5 - 1973. Find z, given that a(z) = 0.
-113, 1/3
Let b(d) = -20*d**4 - 50*d**3 + 815*d**2 + 680*d + 15. Let k(q) = q**4 - 12*q**2 - 1. Let o(c) = -b(c) - 15*k(c). Solve o(f) = 0.
-17, -1, 0, 8
Let n(v) = v**3 - 13*v**2 + 30*v + 1. Let h be n(10). Let f be 3 + (h*-1)/(5 - 4). Let 5*q**2 + 15*q - f*q**3 - 5*q**3 + 4*q**3 - 17*q**2 = 0. Calculate q.
-5, 0, 1
Let u(s) be the first derivative of -50*s**3/39 + 5130*s**2/13 - 526338*s/13 + 982. Find p such that u(p) = 0.
513/5
Let j(l) be the second derivative of 0 - 6*l + 5/2*l**3 + 1/52*l**4 + 1/390*l**5 - 1/2340*l**6 + 0*l**2. Let k(b) be the second derivative of j(b). Factor k(x).
-2*(x - 3)*(x + 1)/13
What is f in 0 + 0*f - 1/5*f**3 + 10*f**4 - 10*f**2 + 1/5*f**5 = 0?
-50, -1, 0, 1
Let n(b) be the third derivative of 1/40*b**5 + 7*b**2 - 1/420*b**7 - 1/120*b**6 + 0*b**3 + 0*b**4 - 2 + 0*b. Solve n(v) = 0 for v.
-3, 0, 1
Let m(g) = -g**2 + 7*g + 11. Let y be m(8). Solve 36*u - 9*u**y - 3*u**4 + 59*u**2 + 23 - 53*u**2 + 1 = 0 for u.
-2, -1, 2
Let l be (8/(-12))/((-56412)/149688 - (-4)/11). Determine u, given that -13/5*u**2 - l*u - 324/5 + 14/5*u**3 - 1/5*u**4 = 0.
-2, 9
Let i(c) be the first derivative of -c**8/840 + 4*c**7/525 - c**6/60 + c**5/75 - 33*c**2/2 - 31. Let l(o) be the second derivative of i(o). Factor l(h).
-2*h**2*(h - 2)*(h - 1)**2/5
Let o be (-2 - 2) + (-3553)/(-170) + -16. Let w(y) be the first derivative of -4/5*y + 9/25*y**5 - o*y**4 + 4/5*y**2 + 2 + 1/3*y**3. Find s such that w(s) = 0.
-2/3, 2/3, 1
Let y(o) be the first derivative of 0*o + 3/8*o**2 + 21/16*o**4 + 1/8*o**6 - 9/8*o**3 - 27/40*o**5 + 37. Determine s so that y(s) = 0.
0, 1/2, 1, 2
Let w(r) be the first derivative of -2*r**3/3 - 179*r**2 + 360*r + 5971. Suppose w(u) = 0. Calculate u.
-180, 1
Let t(a) be the second derivative of a**7/42 - a**6/15 - 2*a**5/5 - a**4/6 + 7*a**3/6 + 2*a**2 - 69*a - 7. Factor t(y).
(y - 4)*(y - 1)*(y + 1)**3
Let a be 297/(-22) + (-5420)/(-200). Find l, given that a*l**2 + 2/5*l**5 + 28/5*l**3 - 6*l - 10 - 18/5*l**4 = 0.
-1, 1, 5
Let i = 33 + -48. Let p be (-3)/2*-4*(-5)/i. Solve -372 - 3*w**4 + 372 + 9*w**p + 6*w**3 = 0 for w.
-1, 0, 3
Let w(o) be the first derivative of 2*o**3/15 - 648*o**2/5 - 1298*o/5 - 3958. Factor w(s).
2*(s - 649)*(s + 1)/5
Let a = 233 - 228. Factor 1227*n**5 + 6*n**2 + 3*n - 1224*n**a - 3*n**4 + 0*n**3 - 3 - 6*n**3.
3*(n - 1)**3*(n + 1)**2
Let d(r) = -34 + 2*r - 23*r + 54*r**3 + 14*r**2 - 55*r**3. Let a be d(12). Factor 0 - 2/13*g**a + 0*g.
-2*g**2/13
Let x be 2/5 - (-4553)/(-11775). Let d(h) be the second derivative of 8*h - 2/15*h**3 - 1/10*h**4 + 0 + 0*h**2 + x*h**6 + 0*h**5. Factor d(s).
2*s*(s - 2)*(s + 1)**2/5
Let o = -165164 - -165170. Find p, given that -o*p**3 + 2/5*p - 16/5*p**4 + 0 - 12/5*p**2 = 0.
-1, 0, 1/8
Let y(s) be the first derivative of s**6/120 - s**5/20 - 5*s**4/48 - 34*s + 91. Let v(l) be the first derivative of y(l). What is k in v(k) = 0?
-1, 0, 5
Let p(d) be the second derivative of d**6/360 + d**5/45 + 5*d**4/72 + d**3/9 - 283*d**2/2 + d - 97. Let c(v) be the first derivative of p(v). Factor c(a).
(a + 1)**2*(a + 2)/3
Let h(p) be the third derivative of 0 - 1/150*p**5 + p - 11/60*p**4 - 133*p**2 - 6/5*p**3. Factor h(m).
-2*(m + 2)*(m + 9)/5
Let x = 140 - 141. Let g be 3 + (21/14)/x. Factor 27/2 - 9*k + g*k**2.
3*(k - 3)**2/2
Let x be (-3 - -1) + 53 + -48. Let z(b) = 4*b**3 - 8*b**2 + 11*b - 1. Let o(a) = 3*a**3 - 7*a**2 + 10*a - 2. Let u(n) = x*o(n) - 2*z(n). Factor u(r).
(r - 2)**2*(r - 1)
Suppose 3*d - 3 = -3*r, -13 = -12*r + 8*r + 5*d. Let t(f) be the second derivative of 55/3*f**3 + 605/2*f**r + 31*f + 0 + 5/12*f**4. Let t(b) = 0. What is b?
-11
Find h such that -5/7*h**2 + 2*h + 3/7 = 0.
-1/5, 3
Let m be 2*((-220)/(-176))/((-5)/(-1374)). Let g = m + -675. Solve -972*t - 1/3*t**4 - g*t**3 - 2187 - 162*t**2 = 0.
-9
Let w be 6/(-4) - (-20 - 2289/126). Determine l so that -425/3*l**2 + 2420/3 + w*l + 125/6*l**3 = 0.
-2, 22/5
Suppose -5*q - 485*d = -490*d - 12485, 5*q - 12488 = 4*d. Determine b so that 200/3*b**3 + 125000/3*b + q*b**2 + 2/3*b**4 + 781250/3 = 0.
-25
What is k in -3/8*k**5 + 225/8*k**4 + 693/8*k**3 + 117/4*k + 699/8*k**2 + 0 = 0?
-1, 0, 78
Let r(m) be the first derivative of -36/11*m**2 + 0*m - 2/55*m**5 + 159 - 13/22*m**4 - 32/11*m**3. Determine t so that r(t) = 0.
-6, -1, 0
Let u(g) = -7*g**2 + 28*g - 21. Let v(z) = -2*z**2 + 2*z. Let i(x) = -2*u(x) + 6*v(x). Let i(j) = 0. What is j?
1, 21
Let t(d) be the third derivative of 12*d**2 - 5 - 32/15*d**3 + 0*d - 1/300*d**5 - 2/15*d**4. What is c in t(c) = 0?
-8
Let r = 20249/6595 - -171/1319. Factor -2/5*j + r*j**2 + 2/5*j**3 - 16/5.
2*(j - 1)*(j + 1)*(j + 8)/5
Let x = 38322 - 268204/7. Let 2/7*d**3 + 10*d + 22/7*d**2 + x = 0. Calculate d.
-5, -1
Let g be 3/(-63)*6 - 23/(-7). Determine c so that 0 + 5/2*c**g - 25/2*c**2 + 10*c = 0.
0, 1, 4
Suppose 127*b = -6990*b + 21351. Solve 3 + 3/2*u**2 + 3/4*u**5 + 6*u**b - 27/4*u - 9/2*u**4 = 0.
-1, 1, 4
Let c(o) be the first derivative of -o**5/5 + o**4/2 + 36*o**3 + 215*o**2 + 325*o - 3732. Factor c(t).
-(t - 13)*(t + 1)*(t + 5)**2
Let h(q) = q**3 - 25*q**2 + 79*q - 284. Let x be h(22). Factor -16 - 28/3*o**x - 4/3*o**3 - 64/3*o.
-4*(o + 2)**2*(o + 3)/3
Let k(q) = -q**3 + 62*q**2 + 263*q - 2. Let m be k(-4). Find c such that -38/11*c**3 + 18/11*c**4 - 18/11*c**m + 0 - 2/11*c**5 + 40/11*c = 0.
-1, 0, 1, 4, 5
Let x(r) be the first derivative of r**8/2520 - r**7/1260 - r**6/270 + 16*r**3 - 45. Let z(u) be the third derivative of x(u). Solve z(c) = 0 for c.
-1, 0, 2
Let l(u) be the second derivative of u**8/3920 - u**7/980 + 29*u**3/2 + 3*u - 4. Let c(q) be the second derivative of l(q). Factor c(o).
3*o**3*(o - 2)/7
Let d(r) be the second derivative of -r**6/70 - 6*r**5/35 - 3*r**4/4 - 9*r**3/7 - 9209*r. Let d(n) = 0. What is n?
-3, -2, 0
Let z(n) be the first derivative of -n**6/90 - 2*n**5/15 - n**4/2 - 25*n**3/3 - 25. Let i(f) be the third derivative of z(f). Factor i(d).
-4*(d + 1)*(d + 3)
What is y in 120074*y - 37 + 289510*y - 26 + 51 + 2485222221748*y**3 - 1747490136*y**2 - 20 = 0?
2/8533
Factor 0 + 79/2*u**4 + 1/2*u**5 + 39*u**3 + 0*u**2 + 0*u.
u**3*(u + 1)*(u + 78)/2
Let p = 10553 + -10551. Factor -2601/2*h**3 - 2805/2*h**2 - 104*h - p.
-(h + 1)*(51*h + 2)**2/2
Let m(u) be the third derivative of 0*u**6 + 1/112*u**8 + 0*u**5 - 2*u**2 + 0*u**3 + 0*u + 1/35*u**7 - 12 + 0*u**4. Let m(s) = 0. Calculate s.
-2, 0
Let j(z) be the third derivative of -2*z**7/105 - 61*z**6/30 + 21*z**5/5 + 61*z**4/6 - 124*z**3/3 - 5*z**2 + 13. Factor j(k).
-4*(k - 1)**2*(k + 1)*(k + 62)
Let x(l) be the third derivative of l**6/30 - 13*l**5/15 + 23*l**4/6 - 22*l**3/3 - 35*l**2 - 4*l