rivative of v(m). Solve f(o) = 0 for o.
-2, 0, 2
Let x(y) be the second derivative of -y**7/63 + 26*y**6/45 - 98*y**5/15 + 316*y**4/9 - 928*y**3/9 + 512*y**2/3 + y - 989. Solve x(t) = 0 for t.
2, 4, 16
Let v(x) be the second derivative of -x**9/30240 - x**8/6720 + x**7/1680 + x**4/12 - x**2/2 - 28*x. Let f(c) be the third derivative of v(c). Factor f(n).
-n**2*(n - 1)*(n + 3)/2
Let o(l) be the first derivative of 4*l**3/21 + 68*l**2/7 - 608*l/7 - 2036. Suppose o(g) = 0. Calculate g.
-38, 4
Let k be ((1710/(-105))/6)/(6/(-49)*7). Let -17/3 - k*a - 1/6*a**2 = 0. Calculate a.
-17, -2
Let q(p) be the second derivative of -p**6/55 + 14*p**5/55 - p**4/2 + 8*p**3/33 + p - 1830. Suppose q(l) = 0. What is l?
0, 1/3, 1, 8
Factor 4*x**3 + 1980*x + 2401 + 1228*x + 2460*x**2 + 1700*x + 51.
4*(x + 1)**2*(x + 613)
Let t(q) be the second derivative of 14 - 1/72*q**4 + 3/2*q**3 - 243/4*q**2 + 2*q. Determine r so that t(r) = 0.
27
Let g(r) be the third derivative of r**5/60 - 35*r**4/4 - 428*r**3/3 + 1958*r**2. Solve g(s) = 0 for s.
-4, 214
Suppose -2*r = 2*z + 14, -16*z + 2*r = -13*z - 14. Let 0 + 44/7*u**3 - 4/7*u**5 + 40/7*u**4 + z*u**2 + 0*u = 0. Calculate u.
-1, 0, 11
Let z be 2/6 + 5/3. Let s(j) = 2*j**3 + 6*j**2 + 8*j + 8. Let v be s(-2). Suppose o**2 + 5*o + v*o**2 - 2*o + z*o**2 = 0. Calculate o.
-1, 0
Let 87/7*m + 45/7*m**2 - 87/7*m**3 - 54/7 + 9/7*m**4 = 0. Calculate m.
-1, 2/3, 1, 9
Let n(v) be the first derivative of 28 + 19/9*v**2 - 23/18*v**4 - 22/45*v**5 + 8/9*v + 14/27*v**3 + 4/27*v**6. Find s, given that n(s) = 0.
-1, -1/4, 1, 4
Let g be (-4*(-3)/(-30))/((-10)/600). Factor -h**2 + h**4 - 9*h + g*h - 9*h - 6*h**3.
h*(h - 6)*(h - 1)*(h + 1)
Let v(y) be the first derivative of 3/8*y**2 - 20 - 3/2*y - 3/16*y**4 + 1/2*y**3. Solve v(m) = 0.
-1, 1, 2
Suppose -5*i = -2*y + 289 - 209, 3*y + 80 = -5*i. Solve 0*a - 15/8*a**3 - 9/4*a**2 - 3/8*a**4 + y = 0.
-3, -2, 0
Let y(m) = -25*m**2 - 1. Let g(d) = 235*d**2 - 414*d - 64. Let n(q) = 5*g(q) + 40*y(q). Suppose n(h) = 0. Calculate h.
-6/35, 12
Solve -4/5*v**2 - 24/5 - 4*v = 0 for v.
-3, -2
Let x(d) = -d**3 + 5*d**2 + 43*d - 3. Let p(k) = -k + 1. Let t(o) = -5*p(o) + x(o). Let a be t(-5). Solve a - 10/3*l + 2/3*l**3 + 2/3*l**2 = 0.
-3, 1
Determine z so that z**3 + 53 - 47*z**2 - 235*z - 2*z + 28*z + 186 + 16 = 0.
-5, 1, 51
Let h(p) be the third derivative of p**5/210 - 34*p**4/21 + 4624*p**3/21 + 422*p**2 + 3. Suppose h(o) = 0. Calculate o.
68
Let w(x) be the third derivative of 8/9*x**3 + 0 + 1/90*x**5 + 0*x - 37*x**2 + 5/18*x**4 - 1/180*x**6. Factor w(v).
-2*(v - 4)*(v + 1)*(v + 2)/3
Suppose -8*z + 19034 - 19034 = 0. Let m(w) be the second derivative of 0 + z*w**2 + 2/9*w**3 - 1/18*w**4 + 18*w. Factor m(b).
-2*b*(b - 2)/3
Let v(d) be the second derivative of -d**6/135 + 29*d**5/90 - 89*d**4/18 + 671*d**3/27 + 968*d**2/9 + 1764*d. Find n such that v(n) = 0.
-1, 8, 11
Let p = -669647 + 3348237/5. Suppose p*m**3 - 32/5 - 62/5*m - 28/5*m**2 = 0. What is m?
-1, 16
Suppose 5*m - 7 = x, -21*m = -19*m - 3*x + 5. What is d in 53*d + 17*d - d**2 - 39 - 29 - d**m = 0?
1, 34
Suppose l - 904*o = -899*o + 22, 2*l - 3*o = 16. Let 68*g**l - 206/9*g**3 + 14/9*g**4 + 1088/9*g + 256/9 = 0. What is g?
-1, -2/7, 8
Let w be 4146/160*24/(-1044). Let r = 1/232 - w. Factor 1/10*s + 1/10*s**2 - r.
(s - 2)*(s + 3)/10
Let x(l) be the first derivative of l**3/27 + 43*l**2/18 - 10*l - 2387. Factor x(a).
(a - 2)*(a + 45)/9
Let r(z) be the third derivative of z**6/360 - z**5/18 + 11*z**4/24 - 2*z**3 - z**2 + 3437*z. Factor r(h).
(h - 4)*(h - 3)**2/3
Let v(k) be the third derivative of k**6/60 + 2*k**5/15 - 19*k**4/12 + 14*k**3/3 + 310*k**2 - 2. Find y, given that v(y) = 0.
-7, 1, 2
Let u(j) be the third derivative of -j**4/12 + 41*j**3/6 - 21*j**2. Let f be u(16). Factor -11*k**2 + 12*k**3 - f - 7*k - 31*k**3 + 20*k**3 + 26*k.
(k - 9)*(k - 1)**2
Let c(f) be the third derivative of -5/72*f**4 - 84*f**2 + 0 + 1/45*f**5 - 1/9*f**3 + 0*f + 1/30*f**6. Factor c(a).
(2*a + 1)**2*(3*a - 2)/3
Let l be (-21)/(-35)*5 - (3 - 2). Suppose -f**l + 13*f**2 + 17*f**4 - 8*f - 21*f**4 = 0. Calculate f.
-2, 0, 1
Factor 1258/11 - 2/11*r**2 - 1256/11*r.
-2*(r - 1)*(r + 629)/11
Let a(m) be the first derivative of m**4/4 + 2*m**3 - 8*m**2 - 96*m + 2647. Factor a(l).
(l - 4)*(l + 4)*(l + 6)
Let k(m) = 19*m**3 + 82*m**2 - 109*m + 8. Let i(d) = 22*d**3 + 81*d**2 - 112*d + 9. Let w(q) = 8*i(q) - 9*k(q). Factor w(x).
5*x*(x - 17)*(x - 1)
Let y(n) be the third derivative of -n**5/8 - 111*n**4/8 - 22*n**3 + n**2 - 885*n. Find z, given that y(z) = 0.
-44, -2/5
Let d be 5/(-2)*((-20)/(-1) - (-1107)/(-54)). Factor d*g**2 - 85*g + 1445.
5*(g - 34)**2/4
Let m(n) be the first derivative of 2/15*n**5 + 0*n**2 + 1/36*n**6 + 1/8*n**4 + 0*n + 0*n**3 + 15. Suppose m(w) = 0. What is w?
-3, -1, 0
Let q(t) be the second derivative of -1/8*t**2 - 1/3*t**3 + 28*t + 1/48*t**4 + 0 + 1/10*t**5. Solve q(h) = 0 for h.
-1, -1/8, 1
Let a(b) = -33*b**2 - 541*b - 1078. Let w(v) = -290*v**2 - 4870*v - 9700. Let o(s) = 35*a(s) - 4*w(s). Factor o(n).
5*(n + 2)*(n + 107)
Let c(a) be the third derivative of 7*a**4/24 + 35*a**3/6 - 9*a**2 - 5. Let x be c(-5). Solve 0*g**2 + 1/2*g**3 + x - 1/2*g = 0.
-1, 0, 1
Let r(v) be the third derivative of v**5/75 + v**4/2 - 1088*v**3/15 + 97*v**2 - v - 2. Factor r(p).
4*(p - 17)*(p + 32)/5
Let x(o) = 23432*o - 113221. Let l(r) = -107*r + 517. Let z(w) = 1313*l(w) + 6*x(w). Let h be z(5). Factor h - 3/2*s - 1/2*s**2.
-s*(s + 3)/2
Let x(l) be the third derivative of -l**7/42 + 77*l**6/12 - 2303*l**5/4 + 94325*l**4/6 - 600250*l**3/3 + 15*l**2 + 3*l + 21. Let x(r) = 0. What is r?
7, 70
Let c(n) be the first derivative of -1/22*n**4 + 205 - 16/33*n**3 + 64/11*n + 4/11*n**2. Suppose c(m) = 0. Calculate m.
-8, -2, 2
Let b(k) be the third derivative of k**5/30 + 35*k**4/3 - 292*k**3 - 68*k**2 + 32*k. Let b(d) = 0. What is d?
-146, 6
Suppose 41*v - 45*v = 20. Let u(a) = 3*a**2 + 10*a - 7. Let i be u(v). Factor 0*m**2 - 2*m**2 + i*m + 5*m**2 - 212 + 191.
3*(m - 1)*(m + 7)
Let b = -327 - -330. Suppose -3*t**4 - 6*t + b - 3*t**3 + 0*t**3 + 9*t**3 = 0. Calculate t.
-1, 1
Let t be (98/42 - 280/12)/((-3)/2). Let l(p) be the second derivative of -t*p + 0 + 1/3*p**3 - 1/30*p**4 - 4/5*p**2. Factor l(m).
-2*(m - 4)*(m - 1)/5
Determine f so that -4/5*f**3 - 1/5*f**4 + 21/5*f**2 - 4/5*f - 28/5 = 0.
-7, -1, 2
Let d be 6/4*11/3. Let m be 12/14 - ((-152)/(-228) + (-118)/42). Factor 13/2*c**2 + 7/6*c + d*c**m + 7/6*c**4 - 1.
(c + 1)**2*(c + 3)*(7*c - 2)/6
Let d be 3/((-2)/5*(-3)/6). Let u be -4 - ((-56)/16)/(d/18). What is i in -u*i**4 + 3/5*i**3 + 0 - 1/5*i**5 + i**2 + 2/5*i = 0?
-1, 0, 2
Let o(x) be the third derivative of 1/48*x**6 + 135*x**2 + 1/420*x**7 - 1/20*x**5 + 8/3*x**3 + 0 + 0*x - 2/3*x**4. Let o(m) = 0. Calculate m.
-4, 1, 2
Let y(c) = -7*c**2 + 246 - 214 + 41*c - c**3 + 81*c. Let d be y(-15). Determine k, given that 12 - 8*k + 4/3*k**d = 0.
3
Let y(r) be the third derivative of -r**7/252 + 5*r**5/24 - 25*r**4/72 - 10*r**3/3 - 2*r**2 - 116*r - 2. Suppose y(j) = 0. Calculate j.
-4, -1, 2, 3
Factor -16*s**2 - 128*s + 32*s**3 + 94*s**4 - 2 - 228*s**4 + 2 + 138*s**4.
4*s*(s - 2)*(s + 2)*(s + 8)
Let i(c) = -c**3 - 16*c**2 - 17*c - 2. Let x be i(-15). Factor -161*w - 95*w + 4*w - 24*w + 4*w**3 + x*w**2 + 468.
4*(w - 3)**2*(w + 13)
Let n(y) be the third derivative of y**8/504 + 2*y**7/315 - 23*y**6/12 - 103*y**5/9 + y**4/9 + 152*y**3 + 5077*y**2. Solve n(m) = 0.
-18, -2, 1, 19
Let f = 12895/2649 + 411/883. Factor 2/3*p**4 + f - 4*p**2 - 8/3*p + 2/3*p**3.
2*(p - 2)*(p - 1)*(p + 2)**2/3
Let t(j) be the second derivative of j**4/72 + 265*j**3/18 - 266*j**2/3 - j + 1344. What is q in t(q) = 0?
-532, 2
Let b = 60041 + -420283/7. Find v such that 2/7*v**3 + b*v + 0 - 6/7*v**2 = 0.
0, 1, 2
Suppose 4468*w - 5173 = 8231. Solve 0 - 2/7*x**4 + 8/7*x**w + 8/7*x**2 - 32/7*x = 0 for x.
-2, 0, 2, 4
Let q(m) be the first derivative of -m**6/40 + 3*m**5/40 + 3*m**4/16 - 146*m + 106. Let c(j) be the first derivative of q(j). Determine n, given that c(n) = 0.
-1, 0, 3
Let r(j) = 2*j**3 + 560*j**2 + 58*j + 16242. Let t be r(-280). Factor 3/2*a + 1/8*a**t - 1/2 - 15/8*a**3.
-(a + 1)*(3*a - 2)*(5*a - 2)/8
Let j be 1*-3 + 29 + -23. Suppose -j*p + 5*w + 0 - 2 = 0, 36 = 4*p + 3*w. Determine m, giv