**3 + 17/132*d**4 - 30*d**2 - 1/330*d**5 + 0. Determine v, given that x(v) = 0.
0, 17
Suppose -4096*m + 1461136*m**4 + 3584*m**2 - 2*m**5 - 912*m**3 - 1461060*m**4 + 0*m**5 = 0. Calculate m.
0, 2, 4, 16
Let -2*w - 70*w - 132 - 527455*w**2 + 527452*w**2 = 0. Calculate w.
-22, -2
Let 3*h**4 - 6867*h**2 - 528 + 13741*h**2 - 6910*h**2 - 33*h**3 + 444*h = 0. What is h?
-4, 2, 11
Let o be (518/148)/((-14)/((-10)/5)). Let c(g) be the second derivative of 21*g + 4/3*g**2 + o*g**3 + 0 + 1/36*g**4. Determine n, given that c(n) = 0.
-8, -1
Let n(v) be the first derivative of -4*v**3/9 + 28*v**2 - 1700*v/3 + 2393. Solve n(z) = 0.
17, 25
Let h(z) be the first derivative of z**4/2 + 4*z**3 - 49*z**2 + 132*z + 14461. Find k such that h(k) = 0.
-11, 2, 3
Let f(b) be the second derivative of -b**4/12 + 2*b**3/3 + 5*b**2/2 - 293*b. Let s be f(5). Factor s - 2/13*n**3 + 8/13*n**2 - 6/13*n.
-2*n*(n - 3)*(n - 1)/13
Suppose -24*y + 21*y = -324. Suppose -33*x + y = -27*x. Find k such that -208 + 18*k + 3*k**2 + 205 - x*k**2 = 0.
1/5, 1
Suppose 10 = -79*l + 80*l. Factor 7*k**4 + k + 5*k**3 - l*k**4 - 6*k - 2*k**4 + 5*k**2.
-5*k*(k - 1)**2*(k + 1)
Suppose 124*n + 53*n - 26*n - 3*n = 0. Factor 5/3*v**2 + n*v + 1/3*v**3 + 0.
v**2*(v + 5)/3
Factor 3/4*i - 5/2*i**3 + 7/2*i**2 - 5/4 - 9/4*i**4 + 7/4*i**5.
(i - 1)**3*(i + 1)*(7*i + 5)/4
Let b = -299208 + 299208. Find c, given that -12/5*c**5 + 0 - 6/5*c**3 - 21/5*c**4 + b*c + 3/5*c**2 = 0.
-1, 0, 1/4
Let z(x) be the first derivative of 4*x**5/5 - 757*x**4 + 190508*x**3 + 290314*x**2 - 1149128*x + 9652. Factor z(a).
4*(a - 379)**2*(a - 1)*(a + 2)
Let h(r) = -r**5 - 255*r**4 + 508*r**3 - 30*r - 6. Let q(w) = 255*w**4 - 505*w**3 + 25*w + 5. Let v(l) = -5*h(l) - 6*q(l). Factor v(g).
5*g**3*(g - 49)*(g - 2)
Suppose -3*j - 6*f = -84 + 36, 11 = 2*j + f. Factor 2/5*h**j + 98/5 - 28/5*h.
2*(h - 7)**2/5
Let t be (3141/(-40))/(-6 - 405/(-60)). Let y = t + 546/5. Factor y - 9/2*w**2 + 3/4*w**3 - 3/4*w.
3*(w - 6)*(w - 1)*(w + 1)/4
Let x(c) be the second derivative of 5*c**4/2 - 351*c**3/2 + 105*c**2/2 + 756*c. Factor x(w).
3*(w - 35)*(10*w - 1)
Solve 301/4*v - 1/4*v**3 + 319/4 - 19/4*v**2 = 0.
-29, -1, 11
Suppose 4*p - 80 = -3*m, -22*m - 929*p + 799 = -930*p. Solve -m - 38/9*g**3 + 194/9*g**2 + 2/9*g**4 - 10*g = 0.
-1, 2, 9
Let i(s) be the second derivative of s**7/70 - 4*s**6/25 + 27*s**5/50 - 4*s**4/5 + s**3/2 - 701*s. Factor i(m).
3*m*(m - 5)*(m - 1)**3/5
Let i(j) be the first derivative of -2*j**5/25 - 67*j**4/5 - 8978*j**3/15 - 1195. Determine d so that i(d) = 0.
-67, 0
Suppose 7 = 2*b - 29. Let q(v) = v**2 - 98*v + 2079. Let w be q(31). Suppose -18 - 12*i**w + 9*i - b + 11*i**2 - 21*i = 0. What is i?
-6
Factor 3072/7 + 1472/7*r - 4/7*r**3 + 160/7*r**2.
-4*(r - 48)*(r + 4)**2/7
Let f(l) be the first derivative of -45 - 44*l**3 - 40*l - 62*l**2 - 13*l**4 - 4/5*l**5. Find p, given that f(p) = 0.
-10, -1
Let g(l) = -l**2 + 5*l + 38. Let n be g(7). Factor 21 + n + 188*v + 5 - 16*v**2 - 2.
-4*(v - 12)*(4*v + 1)
Let r(t) = t**4 - t**3 + 2*t - 1. Let s(m) = 15*m**4 - 35*m**3 + 18*m**2 + 68*m - 14. Let g(o) = 42*r(o) - 3*s(o). Solve g(x) = 0 for x.
-1, 0, 2, 20
Let s(j) be the third derivative of j**8/25200 - j**6/900 + 7*j**5/20 + 3*j**2 - 3*j. Let a(l) be the third derivative of s(l). What is z in a(z) = 0?
-1, 1
Let h(p) be the third derivative of -p**5/420 - 23*p**4/14 + 5092*p**2. Let h(n) = 0. What is n?
-276, 0
Let g(w) be the second derivative of w**6/720 - w**5/30 + w**4/3 - w**3/2 - 3*w**2/2 - 50*w. Let h(l) be the second derivative of g(l). Factor h(z).
(z - 4)**2/2
Let y = 262 - 206. Let a be (-21)/(-12) + 14/y. Determine u, given that 0*u + 0*u**a + 1/2*u**3 + 3/4*u**4 + 0 + 1/4*u**5 = 0.
-2, -1, 0
Let d = 3 + -1. Suppose 2*t = 4*b - 6, -5*b = -9*t + 4*t + 5. Let 34*r**3 + 133*r + 1192*r**3 + 163*r - 27 + 98*r**5 - 944*r**d - 644*r**4 - t = 0. What is r?
2/7, 1, 4
Let -26/3*h**3 - 1/3*h**5 + 8*h - 3*h**4 + 32/3 - 20/3*h**2 = 0. Calculate h.
-4, -2, 1
Let w(r) be the second derivative of -r**5/4 - 95*r**4/12 - 85*r**3/3 - 7583*r. Factor w(v).
-5*v*(v + 2)*(v + 17)
Let x(j) be the second derivative of -j**6/15 + 17*j**5/5 - 30*j**4 + 344*j**3/3 - 224*j**2 - 3*j - 371. Determine d so that x(d) = 0.
2, 28
Let r(u) = 64*u + 6851. Let w be r(-107). Factor 3/5*q**4 + 6/5*q - 3/5*q**2 - 6/5*q**w + 0.
3*q*(q - 2)*(q - 1)*(q + 1)/5
Solve -56*m - 24*m**2 - 51 - 453*m**4 + 455*m**4 + 2*m**3 + 19 = 0 for m.
-2, -1, 4
Let d(f) be the second derivative of -f**9/20160 - f**8/1280 + 121*f**4/6 - 188*f. Let p(o) be the third derivative of d(o). Factor p(t).
-3*t**3*(t + 7)/4
Let u = -15249/67 - -61063/268. Determine j so that -1/4*j**3 + 1/2*j + 0 + 3/4*j**2 - 3/4*j**4 - u*j**5 = 0.
-2, -1, 0, 1
Let a(r) be the third derivative of -3869893*r**6/360 - 24649*r**5/20 - 471*r**4/8 - 3*r**3/2 - 2*r**2 + 49. What is k in a(k) = 0?
-3/157
Let -5*f**5 - 19*f**4 - 14*f**3 + 65*f**2 - 9*f**4 - 8*f**4 - 29*f**4 - 41*f**3 + 60*f = 0. Calculate f.
-12, -1, 0, 1
Let b be 51535/(-210) + 14/(-147). Let q = b + 246. Let t - q*t**2 - 1/2 = 0. Calculate t.
1
Let u(x) be the second derivative of 8/3*x**3 + 34/3*x**4 + 2*x + 28 + 0*x**2 + 19*x**5 + 35/3*x**6. Suppose u(q) = 0. What is q?
-2/5, -2/7, 0
Let m(z) be the first derivative of 5*z**6/6 + 7*z**5 - 275*z**4/4 + 325*z**3/3 + 135*z**2 - 360*z - 615. What is o in m(o) = 0?
-12, -1, 1, 2, 3
Let x(j) = -18*j - 50. Let f be x(-5). Factor 84*o - f*o**2 + 35*o**2 + 139*o - 68*o.
-5*o*(o - 31)
Let k(g) be the second derivative of 0*g**2 - 7/15*g**6 + 8 + 31/40*g**5 + 10*g + 1/28*g**7 + 5/12*g**4 - 4/3*g**3. Determine x so that k(x) = 0.
-2/3, 0, 1, 8
Let b = -80 - -82. Factor 38*q**3 - 3 - 24*q**b + 27*q**4 + 12*q**5 - 18*q - 68*q**3 + 36*q**3.
3*(q - 1)*(q + 1)**3*(4*q + 1)
Let j(b) be the third derivative of -b**6/60 - 3*b**5/10 + 81*b**4/2 + 72*b**2 + 8. Factor j(y).
-2*y*(y - 18)*(y + 27)
Let h(n) be the first derivative of -n**6/15 + 7*n**5/25 + 13*n**4/10 + 23*n**3/15 + 3*n**2/5 - 381. Let h(r) = 0. What is r?
-1, -1/2, 0, 6
Let d(r) be the third derivative of -325*r**5/12 + 275*r**4/24 + 5*r**3/3 + 220*r**2 - 5*r. Solve d(m) = 0 for m.
-2/65, 1/5
Let o(s) be the first derivative of -s**6/1080 - s**5/360 + s**4/6 + 23*s**3/3 + 45. Let u(z) be the third derivative of o(z). Factor u(m).
-(m - 3)*(m + 4)/3
Determine y, given that 109 - 145*y + y**2 - 78*y + 113 = 0.
1, 222
Let j be ((-3)/18 - 225/(-540))/((-4)/(-48)). What is h in 0*h - 1/4*h**5 + 3/2*h**4 + 0 + h**2 - 9/4*h**j = 0?
0, 1, 4
Let p(y) be the second derivative of y**4/4 - 2*y**3 + 7*y**2/2 + 10*y. Let a(u) = u**2 - 6*u + 3. Let g(c) = 14*a(c) - 6*p(c). Factor g(x).
-4*x*(x + 3)
Suppose 9*o - 44 = 5*o. Let z be -2 + o + 2/(-3). Find x such that -11/3*x**2 - z - 35/3*x - 1/3*x**3 = 0.
-5, -1
Let o(b) = 167*b - 165. Let d be o(1). Factor -18/7 - 16/7*v + 2/7*v**d.
2*(v - 9)*(v + 1)/7
Let b(k) be the third derivative of -k**8/168 + 134*k**7/105 - 1173*k**6/10 + 90988*k**5/15 - 2323897*k**4/12 + 3917774*k**3 - 2*k**2 - 164*k - 3. Factor b(a).
-2*(a - 42)*(a - 23)**4
Let d = 1381 + -1376. Let m(b) be the third derivative of 0*b**4 + 17*b**2 + 0*b**3 + 0*b - 1/360*b**d + 0. Let m(p) = 0. What is p?
0
Let j(d) = -d**3 + 10*d**2 + 9*d + 7. Let w be j(11). Let v be 9/w - 303/(-5). Solve m - 428*m**3 + 403*m**3 - m + v*m**4 - 10*m**2 = 0 for m.
-1/4, 0, 2/3
Let 48*a**4 - 33*a - 26*a**5 - 867*a**3 - 87*a + 953*a**3 + 1200*a**2 - 1292*a**2 - 16 = 0. What is a?
-1, -2/13, 2
Let u(q) be the second derivative of -6 + 1/21*q**7 + 16*q**2 - 1/2*q**5 - 1/3*q**6 + 2*q + 40/3*q**3 + 25/6*q**4. Let u(g) = 0. Calculate g.
-1, 4
Let z(d) be the first derivative of -2*d**3/9 + 17*d**2 + 440*d/3 + 1118. What is o in z(o) = 0?
-4, 55
Let n(q) = q. Let z(t) = -3*t**2 + 99*t - 2. Let l(c) = 2*c**2 - 99*c + 3. Let u(w) = -2*l(w) - 3*z(w). Let g(j) = 4*n(j) + u(j). Determine s so that g(s) = 0.
0, 19
Suppose 5*w - 2*o = 8*w + 1825, 5*w + 5*o + 3045 = 0. Let a = w - -1829/3. Solve 0*j**4 - 4/3*j**5 - 8/3 + 16/3*j**3 - 4*j + a*j**2 = 0 for j.
-1, 1, 2
Let r(a) = 19*a + 8. Let t be r(-5). Let j be 2/(-9) + t/(-27). Find l such that -4*l**4 + 4*l**2 - 52*l**j + 52*l**3 = 0.
-1, 0, 1
Suppose -4*c - 2*s = -8, 7*c = 9*c - 4*s - 24. Factor -8*i**3 + 363*i**4 + i**5 - 358*i**c + 14*i