rst derivative of t**5/10 + 63*t**4/8 + 10*t**3 - 31*t**2 + 2313. Suppose n(c) = 0. What is c?
-62, -2, 0, 1
Suppose 412 + 9 = 183*j + 55. Let n(t) be the first derivative of -37 + 0*t**j - 5/3*t**3 + 20*t. Let n(s) = 0. Calculate s.
-2, 2
Let k(y) be the second derivative of 2*y**7/21 - 4*y**6/15 - 6*y**5/5 + 20*y**4/3 - 38*y**3/3 + 12*y**2 - 62*y + 16. Solve k(o) = 0 for o.
-3, 1, 2
Let x(k) be the first derivative of 0*k - 73 - 7/12*k**2 + 1/18*k**3. Factor x(w).
w*(w - 7)/6
Let v(u) be the third derivative of -1/12*u**5 + 0*u + 0 + 105*u**2 + 25/6*u**4 + 0*u**3. Solve v(q) = 0 for q.
0, 20
Let b = 11843/58465 + -30/11693. Determine l, given that 8 + b*l**2 - 41/5*l = 0.
1, 40
Let q(a) be the third derivative of a**5/270 + a**4/2 + 53*a**3/27 + 772*a**2. What is n in q(n) = 0?
-53, -1
Let s(i) be the third derivative of -i**5/390 - i**4/78 - i**3/39 + 642*i**2. What is b in s(b) = 0?
-1
Find c such that 80 - 15/2*c**3 - 136*c - 157*c**2 = 0.
-20, -4/3, 2/5
Suppose -r = -i, 152*r + 4 = 4*i + 149*r. Let j(y) be the second derivative of 0 - 2/7*y**2 - i*y - 13/42*y**4 - 5/7*y**3. Factor j(o).
-2*(o + 1)*(13*o + 2)/7
Solve 6*i - 2/3*i**2 + 44/3 = 0.
-2, 11
Suppose 0*m = -3*m + 9. Let j = 942 - 940. Factor -2*w**j + 4*w**3 - 4*w + 2*w**m + 0*w.
2*w*(w - 1)*(3*w + 2)
Let m(f) be the second derivative of 1/6*f**5 + 1/24*f**6 + 0*f**4 - 3*f + 0 - 2*f**2 + 0*f**3. Let o(y) be the first derivative of m(y). Factor o(n).
5*n**2*(n + 2)
Let m(o) be the second derivative of o**5/720 - 5*o**4/36 + 13*o**3/24 - 30*o**2 + 46*o. Let t(h) be the first derivative of m(h). Factor t(g).
(g - 39)*(g - 1)/12
Let o(j) be the first derivative of -j**6/5 - 12*j**5/25 + 489*j**4/10 - 1784*j**3/5 + 3924*j**2/5 - 3456*j/5 + 10736. Let o(k) = 0. Calculate k.
-16, 1, 6
Suppose -4*o + 2*n + 12 = -6, -2*o - 4*n - 16 = 0. Factor -7*g - 2*g**2 + 4*g**o + 19*g + 18 - 8.
2*(g + 1)*(g + 5)
Factor 10*t**2 - 62*t + 55105 - 54550 + 447*t.
5*(t + 37)*(2*t + 3)
Let n(o) be the third derivative of 19*o**4/24 - 283*o**3/6 + 16*o**2 + 3*o. Let h be n(15). Factor -1/3*l**4 + 2/3*l - 1 - 2/3*l**3 + 4/3*l**h.
-(l - 1)**2*(l + 1)*(l + 3)/3
Let d(g) be the second derivative of -g**4/9 + 122*g**3/9 - 236*g**2/3 + 450*g - 1. Solve d(t) = 0.
2, 59
Let n be -20 - (-1 + (0 - -2)). Let z be ((-48)/n)/((-8)/(-28)). Solve -28*f**4 - 5*f**3 + 1 + 8*f - 27*f**3 - 8*f**5 + 3 - z*f**2 = 0.
-1, 1/2
Let a be 17*(-2)/(-12) + (31/(-114) - (-284)/2698). Factor 2/9*s**2 - 22/9*s - a.
2*(s - 12)*(s + 1)/9
Factor 3/4*j**2 - 24*j - 99/4.
3*(j - 33)*(j + 1)/4
Determine q, given that -2/3*q**4 + 0 + 94/3*q**3 - 656/3*q**2 + 416*q = 0.
0, 4, 39
Let w be 45/(720/(-316)) - -21. Let 55/4*b**2 - w*b**5 - 15*b - 27/4*b**4 + 65/4*b**3 - 7 = 0. Calculate b.
-7, -1, -2/5, 1, 2
Factor 3/5*c**3 - 10443/5 + 10797/5*c - 357/5*c**2.
3*(c - 59)**2*(c - 1)/5
Factor 71/3*y + 1/3*y**2 - 100.
(y - 4)*(y + 75)/3
Factor -4*w**3 + 11*w**2 + 2*w - 7*w - w**4 - w.
-w*(w - 1)**2*(w + 6)
Let c = 386 - 376. Let b be -14*((-80)/21)/c. Factor 4/3 + 7/3*q**2 + b*q.
(q + 2)*(7*q + 2)/3
Let t(g) be the second derivative of -g**6/144 - 13*g**5/48 - 43*g**3/3 + g**2/2 + 2*g - 7. Let y(w) be the second derivative of t(w). Factor y(u).
-5*u*(u + 13)/2
Let t be (440/(-60))/(4/(-12)). Let g(q) be the third derivative of -1/60*q**6 + 1/210*q**7 - t*q**2 + 0*q + 1/12*q**4 + 0 - 1/60*q**5 + 0*q**3. Factor g(m).
m*(m - 2)*(m - 1)*(m + 1)
Let l(d) be the third derivative of -d**6/40 + 57*d**5/20 - 1035*d**4/8 + 5819*d**3/2 + 2*d**2 + 572*d + 1. Find t, given that l(t) = 0.
11, 23
Let u(y) be the first derivative of 34*y**3/21 + 87*y**2/7 + 216*y/7 + 1718. Factor u(l).
2*(l + 3)*(17*l + 36)/7
Let m(a) be the third derivative of -8/3*a**4 + 0 - 11/3*a**3 + 47/30*a**5 + 0*a - 1/15*a**6 + 87*a**2. Factor m(t).
-2*(t - 11)*(t - 1)*(4*t + 1)
Let i(z) = 14*z**3 + 198*z**2 - 2*z - 192. Let a(n) = -40*n**3 - 593*n**2 + 6*n + 576. Let q(m) = 6*a(m) + 17*i(m). Factor q(r).
-2*(r - 1)*(r + 1)*(r + 96)
Suppose -l - 2*d = -0*l + 10, 0 = 3*l + 4*d + 34. Let q be (l + 10)/(-5*6). Factor -2/15*m**4 + 0 + q*m + 2/15*m**2 - 2/15*m**3.
-2*m*(m - 1)*(m + 1)**2/15
Let f(d) be the first derivative of 9/4*d**2 - 59 + 0*d**3 + 3*d - 3/8*d**4. Factor f(j).
-3*(j - 2)*(j + 1)**2/2
Let c(j) be the first derivative of 31 + 1/4*j**4 - 4*j + 11/2*j**2 + 1/5*j**5 - 3*j**3. Determine f so that c(f) = 0.
-4, 1
Let u(t) = -t**2 - 70*t + 2. Let f(s) = -4*s**2 - 211*s + 7. Let c(l) = 2*f(l) - 7*u(l). Determine i so that c(i) = 0.
0, 68
What is m in 183*m + 13*m**2 + 6*m**2 + 0*m**2 + 45 - m**2 - 6*m**2 = 0?
-15, -1/4
Let r(w) be the second derivative of 1/7*w**4 + 2/105*w**6 - 1/10*w**5 - 35*w - 2/7*w**2 + 1 + 1/21*w**3. Suppose r(o) = 0. Calculate o.
-1/2, 1, 2
Let o(x) = -6*x**3 + 35*x**2 - 41*x - 360. Let h(g) = g**3 - 7*g**2 + 8*g + 72. Let t(n) = -11*h(n) - 2*o(n). Let t(s) = 0. Calculate s.
-6, -4, 3
Let a(i) be the first derivative of -43*i**6/12 + 217*i**5/10 - 5*i**4/4 - 984. Factor a(n).
-n**3*(n - 5)*(43*n - 2)/2
What is a in -482 - 368 - 7*a**3 - 21*a**3 + 298 + 2*a**5 - 428 + 568*a**2 - 20*a**4 - 406*a = 0?
-5, -1, 2, 7
Let n(v) be the second derivative of -v**5/35 - 19*v**4/42 - 19*v**3/21 + 40*v**2/7 + 3*v + 81. Factor n(m).
-2*(m - 1)*(m + 8)*(2*m + 5)/7
Let o(p) be the first derivative of -p**3/33 + p**2/22 + 156*p/11 + 238. Factor o(d).
-(d - 13)*(d + 12)/11
Solve 2158*n**3 + 12 + 3068*n**2 - 560*n**5 - 876*n**4 + 22*n - 1789*n**2 - 2035*n**2 = 0.
-3, -1/10, 1/4, 2/7, 1
Suppose 321*q - 712 = 232*q. Find i, given that -2/5*i**2 + 2/5*i**3 - q - 32/5*i = 0.
-2, 5
Let r = 109900 + -109898. Let 2/7*h**3 + 16/7*h + 0 - 18/7*h**r = 0. What is h?
0, 1, 8
Let a = 13169/4 - 3292. Determine f, given that -1/2*f**3 + 0 + 1/4*f**5 + 0*f**2 + a*f**4 + 0*f = 0.
-2, 0, 1
Let p(n) be the second derivative of 5*n**3 - n + 2*n**2 - 4/3*n**4 + 1. Suppose p(v) = 0. Calculate v.
-1/8, 2
Let w = -184859/156 - -1185. Let s(t) be the third derivative of 0 + 1/39*t**4 + 0*t**3 - 1/1365*t**7 - 4/195*t**5 + w*t**6 + 0*t - 4*t**2. Factor s(c).
-2*c*(c - 2)**2*(c - 1)/13
Let w(n) = n**4 - 7*n**3 + 5*n**2 - 8*n - 3. Let o(s) = 2*s**4 - 13*s**3 + 10*s**2 - 14*s - 5. Let l = -248 - -251. Let t(x) = l*o(x) - 5*w(x). Factor t(c).
c*(c - 2)*(c - 1)**2
Factor -36*k**3 - 417231 + 216367 - 43420*k + 208100 + 65148*k**2.
-4*(k - 1809)*(3*k - 1)**2
Let w(p) = p + 1. Let a be w(-10). Let l be (-60)/81*a/15. What is r in -l*r + 0 + 22/9*r**2 = 0?
0, 2/11
Let j(s) be the second derivative of -s**4/6 - 23*s**3/3 - 60*s**2 + 149*s. Factor j(c).
-2*(c + 3)*(c + 20)
Let z(b) be the first derivative of 2*b**6/3 + 52*b**5/5 + 47*b**4 + 236*b**3/3 + 48*b**2 - 3174. Suppose z(j) = 0. Calculate j.
-8, -3, -1, 0
Let c = 348 + -346. Let k be c/((-84)/7) - (-26)/12. What is t in 0 - 1/5*t**3 + 0*t - 4/5*t**k = 0?
-4, 0
Suppose 63*n + 69*n + 626*n = -53*n + 1622. Factor 20 - 1/4*q**3 + 6*q - 3/4*q**n.
-(q - 5)*(q + 4)**2/4
Let k(w) be the first derivative of 55 + 1521/2*w + 39/2*w**2 + 1/6*w**3. Factor k(p).
(p + 39)**2/2
Factor 16/9*z - 2/9*z**2 - 10/3.
-2*(z - 5)*(z - 3)/9
Let b(o) be the third derivative of o**5/150 - 71*o**4/15 - 10538*o**2. Factor b(j).
2*j*(j - 284)/5
Let s(k) be the second derivative of -4*k**5/5 - 20*k**4/3 - 34*k**3/3 - 8*k**2 + 105*k + 1. Factor s(m).
-4*(m + 4)*(2*m + 1)**2
Let p be 9/(-15) + 20/1400*42. Let x be 6/12*16/6. Factor -2/3*h + x*h**2 - 2/3*h**3 + p.
-2*h*(h - 1)**2/3
Find h such that 368 - 406*h - 5*h**2 + 383 + 82 + 502 + 836*h = 0.
-3, 89
Suppose -4286 = -2277*b + 2545. Let 0*v**2 + 4/7*v**4 + 0 + 2/7*v**5 + 0*v + 0*v**b = 0. What is v?
-2, 0
Suppose 19 - 19 - 545*x**4 + 64*x**5 + 2160*x + 42*x**5 - 520*x**3 - 111*x**5 + 2180*x**2 = 0. What is x?
-108, -2, -1, 0, 2
Let k(w) = 4*w**3 + 49*w**2 + 2*w - 3. Let j be k(-12). Suppose 61*o - j = 66. Factor -4 - 6/5*p**o + 32/5*p**2 - 6/5*p.
-2*(p - 5)*(p - 1)*(3*p + 2)/5
Let p(b) be the first derivative of -9 - 1/2*b**3 - 9/2*b**2 - 12*b. Determine m, given that p(m) = 0.
-4, -2
Suppose 2*d = 5*y - 296, 0 = 4*y + 4*d - 30 - 218. Factor y + 44/3*w**2 - 4/3*w**3 - 52*w.
-4*(w - 5)*(w - 3)**2/3
Let n be -1*(60/(-5) + -4). Suppose -n*m + 5*m = -66. Factor 10*g**2 + m*g**3 - 803*g**4 + 2*g**3 + 805*g**4 + 4*g.
2*g*(g + 1)**2*(g + 2)
Let n(i) be