the second derivative of 4/21*s**3 + 1/420*s**5 + 41*s - 3/56*s**4 - 13/2*s**2 + 0. Let m(r) be the first derivative of q(r). Factor m(h).
(h - 8)*(h - 1)/7
Let d(y) be the second derivative of -2*y - 9/20*y**5 + 27/8*y**2 - 10 + 1/40*y**6 - 7/2*y**3 + 15/8*y**4. Suppose d(n) = 0. What is n?
1, 9
Suppose 27*u = 33*u - 24. Factor -144*z + 2969 + 144*z**3 - 4*z**u + 4*z**2 - 2969.
-4*z*(z - 36)*(z - 1)*(z + 1)
Let v(i) be the third derivative of 0*i + 11/45*i**5 + 1/10*i**6 - 2/315*i**7 - 20/9*i**3 - 159*i**2 + 0 - 1/2*i**4. Find q, given that v(q) = 0.
-1, 1, 10
Let h(p) be the first derivative of -1/18*p**3 + 1/360*p**5 - 6 + 0*p - p**2 + 1/144*p**4. Let j(o) be the second derivative of h(o). Factor j(t).
(t - 1)*(t + 2)/6
Let l(v) be the second derivative of 0 + 28/15*v**3 + 263*v + 1/12*v**4 + 11/10*v**2. Determine u so that l(u) = 0.
-11, -1/5
Let p(y) be the third derivative of 0*y - 4/45*y**5 - 11/90*y**6 + 23/315*y**7 + 8 + 1/72*y**8 + 0*y**4 + 2*y**2 + 0*y**3. Solve p(l) = 0 for l.
-4, -2/7, 0, 1
Let o be 489/2445 + (4/(-6))/(10/(-24)). Let w(j) be the first derivative of -3/4*j**4 + 0*j + 17/5*j**3 - 38 - o*j**2. Let w(a) = 0. What is a?
0, 2/5, 3
Let y(z) be the first derivative of 34 - 34/11*z**3 + 18/11*z**2 + 0*z - 20/11*z**4 - 14/55*z**5. Find p such that y(p) = 0.
-3, 0, 2/7
Let x(m) = -m**3 + 28*m**2 - 55*m + 3. Let w be x(24). Determine z so that -402*z + 175*z - 613*z + w + 80*z**2 + 1218 = 0.
21/4
Suppose -8*s = 39 - 7. Let i(y) = 21*y**2 + 577*y + 222. Let c(r) = 230*r**2 + 6345*r + 2440. Let w(p) = s*c(p) + 45*i(p). Factor w(u).
5*(u + 23)*(5*u + 2)
Let h(s) be the first derivative of s**6/6 - s**4/2 - s**3/3 - s - 24. Let n(k) = -k**4 - k**2 - 1. Let a(u) = -5*h(u) + 5*n(u). Factor a(p).
-5*p**3*(p - 1)*(p + 2)
Suppose 5*d - 10 = 4*a - 45, 1 = 2*a + 3*d. Factor h**2 + 13*h + 10 + a - 3 + 0.
(h + 1)*(h + 12)
Let -12*x**3 + 1357*x - 2034*x - 1523*x + 544*x**2 - 9*x**3 + 2208 + 23*x**3 = 0. What is x?
-276, 2
Suppose -3*c - 15 = -8*c, 3*c = -2*u + 13. Let d = -1 - -6. What is s in 3*s**3 + 0*s**3 + u*s**3 + 0*s**3 - 5*s**2 + 5*s**4 - d*s = 0?
-1, 0, 1
Let o(b) be the first derivative of -b**3/6 + 37*b**2/4 - 80*b + 325. Solve o(s) = 0.
5, 32
Let v(o) = -o**3 + 14*o**2 - 20*o + 98. Let f be v(13). Factor -3*k**3 + 111*k**2 + 92*k - 50*k + 89*k + 93*k + f*k + 117.
-3*(k - 39)*(k + 1)**2
Let g(q) be the third derivative of 0*q - 1/12*q**4 + 0 + 1/60*q**6 + 0*q**5 - 53*q**2 - 1/6*q**3 + 1/210*q**7. Find k such that g(k) = 0.
-1, 1
Suppose 0*u + 5 = 3*c - u, -2*u = -8. Factor 2*a - 2*a**2 + a - 298*a**3 + 294*a**c + 4*a**5 - 3*a**5 + 2.
(a - 2)*(a - 1)*(a + 1)**3
Let z(m) be the first derivative of -45*m - 15*m**2 + 23 - 5/3*m**3. Determine v so that z(v) = 0.
-3
Suppose 2*y = 20641 - 20635. Let r(v) be the first derivative of 4*v - 2/3*v**y + 25 + v**2. Factor r(d).
-2*(d - 2)*(d + 1)
Let w(k) = k**2 + 1. Let u(l) = 7*l**2 - 36*l + 109. Let b be -5 - 108/(-9) - 6. Let n(s) = b*u(s) - 4*w(s). Suppose n(p) = 0. What is p?
5, 7
Let r(w) = 6*w**3 - 2*w**2 + 11*w + 15. Suppose 2*b = -110 + 180. Let g(o) = -o**3 - o - 1. Let m(q) = b*g(q) + 5*r(q). Suppose m(h) = 0. What is h?
-2, 2
Suppose -13 - 26 = -18*u + 5*u. Let o(g) be the first derivative of 0*g + 0*g**u + 0*g**2 - 6/35*g**5 - 1/14*g**4 - 10. Determine b, given that o(b) = 0.
-1/3, 0
Let m = 51 + -45. Let d be ((-3)/(-6))/(9*m/54). What is n in d*n**2 - 5/2*n - 3 = 0?
-1, 6
Suppose 0 = -8*w + 74 - 50. Let 32*l**2 - 4*l**5 - 1390*l**4 - 20*l - 24 + 2770*l**4 + 24*l**w - 1388*l**4 = 0. Calculate l.
-3, -1, 1, 2
Factor -88*w**2 - 230*w - 26/3*w**3 - 100/3.
-2*(w + 5)**2*(13*w + 2)/3
Suppose -2*h = -2*u - 4, u - 4*u - h = -14. Suppose 2*d = -b + 12, 0*d + u*b + 8 = 5*d. Solve -7 + 12*k**2 + 44*k + 9 + 11 + 11 - 12*k**3 - d*k**4 = 0.
-3, -1, 2
Let q(n) be the second derivative of n**5/210 + 53*n**4/42 + 2809*n**3/21 + 57*n**2 + 243*n. Let p(d) be the first derivative of q(d). Factor p(j).
2*(j + 53)**2/7
Let m be 1/(0 - (-11)/33). Let z(a) be the third derivative of 1/24*a**4 + 1/120*a**5 - m*a**2 + 0*a - 2/3*a**3 + 0. Find p, given that z(p) = 0.
-4, 2
Find m, given that 28/5*m**2 + 2/5*m**5 - 18/5*m**3 + 0*m - 12/5*m**4 + 0 = 0.
-2, 0, 1, 7
Let j(d) be the first derivative of 2*d**3/3 - 54*d**2 - 854*d - 399. Find x such that j(x) = 0.
-7, 61
Let z = -490976 + 490979. What is g in -3/4*g**4 + 3/4*g**2 + 3/4*g**z - 3/4*g**5 + 0 + 0*g = 0?
-1, 0, 1
Let u(q) be the first derivative of -q**6/30 - 13*q**5/15 - 35*q**4/6 + 98*q**3/3 + 54*q**2 + 70. Let i(b) be the second derivative of u(b). Factor i(j).
-4*(j - 1)*(j + 7)**2
Let p(r) = -25*r**2 - 40*r - 15. Suppose 0 = 2*m - 0*m - 20. Let v = m - 13. Let t(c) = -8*c**2 - 13*c - 5. Let a(g) = v*p(g) + 10*t(g). Factor a(u).
-5*(u + 1)**2
Let s(b) = 17*b + 42. Let j be s(-2). Let z(x) be the second derivative of -1/42*x**4 + j*x - 1/3*x**3 - 6/7*x**2 + 0. Solve z(u) = 0.
-6, -1
Let l be (-732)/10*(3 - 203/21). Let w = -1937/4 + l. Let 5*s**3 - 5/2 - 5/4*s**5 - w*s + 5/2*s**2 + 0*s**4 = 0. Calculate s.
-1, 1, 2
Let w(n) = n**2 - 37*n + 330. Let s be w(22). Let o(g) be the second derivative of -14*g + 0 + s*g**3 - 1/4*g**4 + 3/2*g**2. Factor o(q).
-3*(q - 1)*(q + 1)
Let g(u) be the second derivative of 0 + 48*u + 26*u**2 + 11/3*u**4 + 1/5*u**5 - 50/3*u**3. Find r, given that g(r) = 0.
-13, 1
Let q(k) be the third derivative of 1215/2*k**3 + 0 + 1/12*k**5 - 45/4*k**4 - 8*k**2 - k. Solve q(v) = 0 for v.
27
Factor -71*n**2 + 800*n + 323 - 4*n**3 + 493 + 26*n**2 + 233*n**2.
-4*(n - 51)*(n + 2)**2
Let w = -1138 + 1234. Let z(t) = -t**2 + 8*t + 11. Let r be z(9). Factor w*i - 7*i**2 - 688 + 2*i**r + 112 + i**2.
-4*(i - 12)**2
Suppose 75*j - 4*a + 32 = 73*j, 2*j = -a + 13. What is f in 0 + 2/5*f**3 + 0*f - 16/5*f**j = 0?
0, 8
Let t = 464 + -458. Suppose 2*z + 8 = 2*u - t*u, 5*z - 25 = 5*u. Factor 0 - 5/9*l**z + 1/9*l**3 + 0*l.
l**2*(l - 5)/9
Let z = 314 - 335. Let i be ((12/z)/2)/(3/(-7)). Let -1/6*u**2 - i - 5/6*u = 0. Calculate u.
-4, -1
Let n(k) = 10*k**4 - 125*k**3 + 340*k**2 - 315*k + 100. Let w(d) = -5*d**4 + 62*d**3 - 171*d**2 + 158*d - 50. Let s(h) = -3*n(h) - 5*w(h). Factor s(g).
-5*(g - 10)*(g - 1)**3
Let h(t) be the first derivative of -t**5/5 + 5*t**4/4 - 7*t**3/3 + 3*t**2/2 - 11877. Factor h(u).
-u*(u - 3)*(u - 1)**2
Suppose -36*y = -12*y - 432. Let w be 5 - (-24)/36*y/(-4). Suppose 2/13*u**w + 2/13*u - 2/13*u**3 - 2/13 = 0. What is u?
-1, 1
Find h such that -136/3*h + 0 - 1/6*h**3 + 12*h**2 = 0.
0, 4, 68
Suppose -91*q**4 - 124*q**4 + 5*q**5 + 215*q**2 - 60693*q**3 + 60688*q**3 = 0. Calculate q.
-1, 0, 1, 43
Let a be (-90)/(-24) + (-2)/(-8). Determine d so that 0*d**4 - d**4 - 53 - 2*d**3 + 65 + a*d**3 + 19*d**2 + 28*d = 0.
-2, -1, 6
Suppose 724*k = 697*k + 135. Factor y**k - 6*y**3 - 5*y**2 + y - 1/2*y**4 + 3/2.
(y - 3)*(y + 1)**3*(2*y - 1)/2
Let g = -42492 + 212461/5. Factor -g*l**3 - 49/5 - 3*l**2 - 63/5*l.
-(l + 1)*(l + 7)**2/5
Let c(y) be the first derivative of -y**4/16 - 13*y**3/4 - 507*y**2/8 - 43*y + 47. Let i(f) be the first derivative of c(f). Solve i(p) = 0.
-13
Let i = -357 + 359. Factor 5*d**4 - 400*d**3 - 56103*d + 800000 + 5245*d**2 - 103897*d + 6755*d**i.
5*(d - 20)**4
Solve 1/2*p**5 + 0 - 6*p**3 - 72*p**2 + 4*p**4 + 0*p = 0 for p.
-6, 0, 4
Let v(x) be the second derivative of -x + 45/2*x**2 + 2 - 5/6*x**4 + 5/2*x**3. Find p such that v(p) = 0.
-3/2, 3
Let v(w) be the second derivative of w**5/60 - 11*w**4/18 + 38*w**3/9 - 12*w**2 - 87*w + 1. Factor v(h).
(h - 18)*(h - 2)**2/3
Let h(s) be the first derivative of s**3/18 - 752*s**2/3 + 1131008*s/3 + 3133. Factor h(k).
(k - 1504)**2/6
Let b(j) be the first derivative of 2*j**3/33 + 71*j**2/11 + 780*j/11 - 2340. Factor b(u).
2*(u + 6)*(u + 65)/11
Let f be (1971/(-1022))/((-8)/28). Let s(c) = 3*c + 17. Let z be s(-5). Solve -1/4*n**3 - f*n**z - 729/4 - 243/4*n = 0.
-9
Let s(l) = 7 - 17*l**2 - 4*l**2 + 284*l + 2*l**2 - 284*l. Let q(b) = 153*b**2 + 3*b - 57. Let i(z) = 4*q(z) + 33*s(z). Factor i(r).
-3*(r - 1)*(5*r + 1)
Let m(g) be the first derivative of 5/6*g**3 - 5*g - 5/4*g**2 + 264. Factor m(b).
5*(b - 2)*(b + 1)/2
Let j(n) be the third derivative of n**11/110880 - n**9/20160 - 17*n**5/60 + n**3/2 - n**2 + 9*n. Let u(c) be the third derivative of j(c). Factor u(h).