5*s**5. Find q, given that j(q) = 0.
-3, -2, -1, 1
Suppose 17 = -2*l + 21. Let q = 3 + l. Determine b, given that 3*b - 2*b**3 - 7*b**3 + 3*b**3 + 2*b**5 + b**q = 0.
-1, 0, 1
Let d(z) be the third derivative of 26*z**2 + 4/27*z**4 + 4/27*z**3 + 5/54*z**5 + 1/135*z**7 + 19/540*z**6 + 1/1512*z**8 + 0*z - 1. Solve d(f) = 0 for f.
-2, -1
Suppose 5*f - 23 = 4*b - 10, 17 = 4*b + f. Let n(g) be the second derivative of 21/8*g**2 + 17*g + 0 + g**b + 1/16*g**4. Factor n(c).
3*(c + 1)*(c + 7)/4
Let q = -16387/360 + 3335/72. What is u in q*u**2 + 512/5*u + 16384/5 = 0?
-64
Let g = 341189/5 - 68235. Let h be 1020/(-9)*12/(-50). Factor 20 + 62*x - h*x**2 + g*x**3.
2*(x - 5)**2*(7*x + 2)/5
Let a(k) be the first derivative of -15*k**4/4 - 6*k**3 - 3*k**2/2 + 6013. Determine t so that a(t) = 0.
-1, -1/5, 0
Let m(g) be the second derivative of -1/6*g**3 + 1/30*g**5 + 1/126*g**7 + 1/6*g**2 - 53*g - 1/30*g**6 + 0 + 1/18*g**4. Solve m(x) = 0 for x.
-1, 1
Let v(w) = 2*w**3 + 2*w + 1. Let r(o) = -7*o**3 - 11*o**2 + 162*o + 1869. Let t(m) = -2*r(m) - 6*v(m). Factor t(a).
2*(a - 13)*(a + 12)**2
Let n(t) be the first derivative of -1/3*t**4 + 0*t - 1/30*t**5 + 9*t**2 - t**3 - 22. Let a(d) be the second derivative of n(d). Solve a(l) = 0 for l.
-3, -1
Let q(x) be the third derivative of -x**8/168 + 8*x**7/105 + 5*x**6/4 + 21*x**5/5 - 5702*x**2 - 1. Factor q(u).
-2*u**2*(u - 14)*(u + 3)**2
Let c(d) be the first derivative of 1/8*d**6 + 0*d**2 + 0*d + 7/16*d**4 - 43 - 2/5*d**5 - 1/6*d**3. Find a such that c(a) = 0.
0, 2/3, 1
Determine q so that -88/3*q**3 - 48*q - 16/3*q**4 + 0 - 64*q**2 - 1/3*q**5 = 0.
-6, -2, 0
Let u(b) = b**2 - 16*b + 62. Let k be u(7). Let l(h) = h + 1. Let g(p) = -3*p**3 - 15*p**2 + 40*p - 20. Let w(y) = k*l(y) + g(y). Factor w(j).
-3*(j - 1)**2*(j + 7)
Let i = 86 - 39. Let k = 52 - i. Determine g, given that -11*g**4 - 13*g**4 - 54*g**k - 3*g**3 + 9*g**5 = 0.
-1/3, -1/5, 0
Determine b, given that -147 + 3/7*b**3 + 3*b**2 - 21*b = 0.
-7, 7
Suppose -9*j = -22 + 4. Suppose 4*s - 3 = z, 3*z - 25 = -j*z. Let -4*r + 2*r**4 - 2*r**3 + 7*r**s + 6*r**3 - 9*r**2 + 0*r**3 = 0. Calculate r.
-2, -1, 0, 1
Let d(y) be the second derivative of -5/42*y**7 - y + 0*y**2 - 9/4*y**5 + 35/12*y**4 + 5/6*y**6 - 5/3*y**3 + 26. Factor d(t).
-5*t*(t - 2)*(t - 1)**3
Let u be ((-38)/(-171))/(50/90). Determine c so that -1/10*c**2 + u*c + 6/5 = 0.
-2, 6
Let q = -695763 - -695767. Factor -q*b + 2/7*b**2 + 26/7.
2*(b - 13)*(b - 1)/7
Let t = -601/7 + 640/7. Let x be 1/3 - (202/(-42) - 0). Solve t*f**2 - 18/7*f**3 + 3/7*f**4 + 12/7 - x*f = 0 for f.
1, 2
Suppose 34*s**3 + 49*s + 4*s**3 + 26*s**3 + 140*s**2 + 24*s - s - 4*s**4 = 0. What is s?
-1, 0, 18
Let t be (-2365)/(-7568) + 172/(-960). Factor 2/5*l**3 + 8/5*l + t*l**4 - 32/15*l**2 + 0.
2*l*(l - 2)*(l - 1)*(l + 6)/15
Factor -158/5*z**2 - 2/5*z**3 - 4410 - 742*z.
-2*(z + 9)*(z + 35)**2/5
Let a(m) be the third derivative of m**7/105 - 167*m**6/15 + 667*m**5/30 - 4212*m**2. Factor a(l).
2*l**2*(l - 667)*(l - 1)
Let n(a) be the first derivative of -a**7/28 - a**6/5 - 3*a**5/8 - a**4/4 + 74*a + 23. Let y(f) be the first derivative of n(f). Factor y(r).
-3*r**2*(r + 1)**2*(r + 2)/2
Let l = -16660 + 66643/4. Let w(d) be the first derivative of -3*d**2 + l*d**3 - 1/16*d**4 + 4 + 4*d. Factor w(r).
-(r - 4)**2*(r - 1)/4
Let p(c) be the first derivative of -20*c - 76 + 15/2*c**2 + 5/3*c**3. Find v, given that p(v) = 0.
-4, 1
Let y(o) be the second derivative of 3*o**5/40 - 19*o**4/4 + 105*o**3/4 - 2300*o. Factor y(f).
3*f*(f - 35)*(f - 3)/2
Let g(o) be the first derivative of -2*o**3/21 - 113*o**2/7 - 32*o - 2124. Find y, given that g(y) = 0.
-112, -1
Let o be 2/(-6)*0 + -2 + 42. Suppose -m**4 - 204*m**2 + o*m**3 + 18 - 180 - 32*m**2 + 360*m - m**4 = 0. Calculate m.
1, 9
Let q be ((-4)/21)/(64/(-56) - 41/(30996/(-696))). Suppose -6/7 - q*l**2 + 20/7*l = 0. What is l?
1/3, 3
Let v(a) be the second derivative of a**6/6 + 61*a**5/4 - 132*a + 1. Factor v(w).
5*w**3*(w + 61)
Let q be 3 + (-224)/98 + (-48)/(-21). Let m(l) be the second derivative of -23*l + 0*l**2 - 1/12*l**4 + 0 - 1/2*l**q. Solve m(r) = 0 for r.
-3, 0
Let p(t) = -55*t + 10892. Let d be p(198). What is m in -1/3*m**4 - 4/3*m**3 + 0*m + 0 + 5/3*m**d = 0?
-5, 0, 1
Let i(t) be the third derivative of 1/315*t**7 - 29/540*t**6 + 0*t + 89/270*t**5 - 25/36*t**4 - 15*t**2 + 0 - 4/3*t**3. Solve i(p) = 0.
-1/3, 3, 4
Let f(d) = -18*d - 3 - d**3 - 23*d**2 - 4*d + 16*d**2 + d. Let r(x) = x - 1. Let w = -39 - -45. Let z(n) = w*r(n) + f(n). Factor z(g).
-(g + 1)*(g + 3)**2
Let p(l) be the third derivative of 0*l + 0 + 1/45*l**5 - 10*l**2 + 1/36*l**4 + 1/180*l**6 + 0*l**3. Factor p(r).
2*r*(r + 1)**2/3
Let i(s) be the first derivative of -s**4 - 28*s**3/3 + 144*s - 1538. What is v in i(v) = 0?
-6, -3, 2
Let t(i) = i**2 - 395*i + 10813. Let r(z) = -4*z**2 + 1968*z - 54064. Let b(w) = -3*r(w) - 16*t(w). Find d, given that b(d) = 0.
52
What is v in -32*v - 23*v**3 + 34*v + 50*v + 18*v**3 + 108*v**2 + 13*v**3 = 0?
-13, -1/2, 0
Suppose 0 = 43*q - 25*q + 54. Let i be (1/q)/((-12)/9). Factor -1/4*n**2 + 1/4*n**3 - i*n + 1/4.
(n - 1)**2*(n + 1)/4
Let k = -361850/7 - -51695. Determine r, given that 0*r + 0 + 12/7*r**2 + k*r**4 + 36/7*r**3 = 0.
-2, -2/5, 0
Suppose 1 = 5*f + 4*m - 9, 10 = 5*f + 2*m. Factor -7*y**3 + 10*y**2 - 12*y**f - 1245 + 1245.
-y**2*(7*y + 2)
Let w be 0 + 49/(-42) - (-375)/90. Suppose -32/3*r**2 + 0 + 26/9*r**w - 2/9*r**4 + 8*r = 0. What is r?
0, 1, 6
Determine z, given that 1/6*z**3 + 1/2*z**2 - 539/6 - 35/2*z = 0.
-7, 11
Determine x, given that -59840*x + 4*x**2 - x**2 + 43*x**2 + 17904128 + 4*x**2 = 0.
2992/5
Let m(c) be the third derivative of c**6/216 - 11*c**5/18 + 605*c**4/18 - 55*c**3/2 - 160*c**2. Let q(z) be the first derivative of m(z). Factor q(h).
5*(h - 22)**2/3
Determine r so that 6/5*r + 21/5*r**3 + 27/5*r**2 + 0 = 0.
-1, -2/7, 0
Suppose 0 = -41*c + 50*c. Suppose c = -78*s + 63*s + 60. Solve -1/4*p**s + 0*p**2 + 0 - 1/2*p**3 + 0*p = 0 for p.
-2, 0
Factor 2704 - 6500/7*h + 656/7*h**2 - 16/7*h**3.
-4*(h - 28)*(2*h - 13)**2/7
Let o(x) be the third derivative of -1/9*x**3 + 0*x + 47*x**2 + 1/180*x**5 - 1/72*x**4 + 0. Factor o(s).
(s - 2)*(s + 1)/3
Factor -44180/3 - 5/3*f**2 - 940/3*f.
-5*(f + 94)**2/3
Factor -136*n**2 + 1153*n + 96*n**3 - 97*n**3 - 597*n - 560.
-(n - 2)**2*(n + 140)
Solve 9*l**3 - 65*l**2 + 41*l**3 + 54 - 23*l + 11*l**4 - 35*l**3 + 8*l = 0.
-3, -1, 1, 18/11
Let k = 2 - 0. Let n = -954 + 956. Factor -30 + 2 + 4*u**n - 5*u - 2 + u**k.
5*(u - 3)*(u + 2)
Let f(g) = 2*g**2 - 4*g - 6. Let z be f(-2). Factor -29*o + 8*o**3 + 13*o - 2*o**3 - 2*o**2 - 2*o**4 + 4 + z*o.
-2*(o - 2)*(o - 1)**2*(o + 1)
Suppose -6*h**2 - 5*h**5 + 45*h**3 + 3132*h**4 - 3132*h**4 - 60*h - 14*h**2 = 0. Calculate h.
-3, -1, 0, 2
Suppose -27 + 42 = 3*w, -5*f - w + 20 = 0. Determine a so that 1/3*a**2 - 5/6*a**f + 5/6*a - 1/3 = 0.
-1, 2/5, 1
Let l(m) be the second derivative of m**7/70 + m**6/5 + 7*m**5/20 + 78*m**2 - 281*m. Let i(z) be the first derivative of l(z). Solve i(x) = 0 for x.
-7, -1, 0
Let x = -1852 - -1851. Let v be (x - (-14)/9)*322/805. Factor 2/9*u**2 + v - 4/9*u.
2*(u - 1)**2/9
Let j(i) = -43*i - 491. Let x be j(-26). Suppose -34*a - 151 = -x. Determine t, given that -a*t + 49/4*t**2 + 4 = 0.
4/7
Let y be 12 - (12/(-72))/((-1)/61). Let s(f) be the third derivative of 16*f**2 + 28/15*f**5 - y*f**4 + 0 - 4/3*f**3 - 1/2*f**6 + 0*f. Factor s(u).
-4*(u - 1)**2*(15*u + 2)
Let h(x) be the third derivative of -x**8/84 - 16*x**7/35 - 16*x**6/15 + 50*x**5/3 - 101*x**4/2 + 220*x**3/3 + 9452*x**2. Suppose h(q) = 0. What is q?
-22, -5, 1
Let h = 205 + -203. Solve 4*j + 8 - 4*j**3 - 3*j**h - 19 - 9 + 3*j**2 + 20*j**2 = 0 for j.
-1, 1, 5
Let m(t) be the second derivative of -t**6/20 + 27*t**5/40 + t**4/8 - 9*t**3/4 + 3*t + 102. Factor m(u).
-3*u*(u - 9)*(u - 1)*(u + 1)/2
Suppose -179/9*x**2 + 8272/9*x + 1/9*x**3 - 7744/3 = 0. Calculate x.
3, 88
Let w(n) be the third derivative of 3/2*n**4 + 3 + 1/20*n**5 + 4*n**2 + 18*n**3 + 0*n. Factor w(b).
3*(b + 6)**2
Let n(v) = v**3 + 4*v**2 - 3*v + 11. Let b = -714 - -709. Let f be n(b). Factor -f + 1/2*j**2 - 1/2*j.
(j - 2)*(j + 1)/2
Let j(u) = -u**4 - 2*u**3 + u**2 + 1. Let w(o) = 10*o**4 - 752*o**3 + 49134*o**2 - 1095444*o + 2000370. Let s(a) 