 665*o + 5131. Let l be z(-8). Let 24/13*s + 2/13*s**l + 14/13*s**2 + 0 = 0. What is s?
-4, -3, 0
Find j such that -5902/9*j**2 - 2320/3*j + 2*j**5 + 518/9*j**4 + 3358/9*j**3 + 200 = 0.
-15, -1, 2/9, 2
Suppose -46*w - 1/2*w**3 + 0 + 24*w**2 = 0. What is w?
0, 2, 46
Let i(f) be the second derivative of -f**4/8 + 16*f**3 + 14*f - 32. Factor i(x).
-3*x*(x - 64)/2
Let b(u) be the first derivative of -u**4/34 + 6*u**3/17 + 22*u**2/17 - 240*u/17 + 663. Factor b(o).
-2*(o - 10)*(o - 3)*(o + 4)/17
Let u(q) be the second derivative of -q**5/4 - 25*q**4/2 - 495*q**3/2 - 2420*q**2 + 2*q + 92. Factor u(a).
-5*(a + 8)*(a + 11)**2
Let c(k) be the first derivative of k**3 + 8*k**2 + 207*k + 7*k**2 + 48*k**2 - 63 + 1116*k. Factor c(y).
3*(y + 21)**2
Suppose -45333*n = -45347*n + 70. Let x(k) be the first derivative of -k**n - 5*k + 0*k**4 + 10/3*k**3 + 0*k**2 - 29. Find z, given that x(z) = 0.
-1, 1
Let m = 5620358/21 + -267636. Let -10/21*f**4 + m*f**2 + 8/21 + 16/21*f - 2/3*f**3 - 2/21*f**5 = 0. Calculate f.
-2, -1, 1
Let s(b) be the third derivative of 226981*b**6/40 - 3721*b**5/10 + 61*b**4/6 - 4*b**3/27 - 38*b**2 + 4. Factor s(u).
(183*u - 2)**3/9
Let f(q) = -48*q**3 + 40*q**2 + 2*q + 122. Let w(o) = -o. Let b(s) = -f(s) - 6*w(s). Let j(d) be the first derivative of b(d). Let j(r) = 0. What is r?
1/18, 1/2
Let k = 11334 - 11330. Let u(i) be the second derivative of 17/20*i**5 + 0 - 2/15*i**6 - 2*i**k - i**2 + 13/6*i**3 - 34*i. Factor u(n).
-(n - 2)*(n - 1)**2*(4*n - 1)
Let u be 3 + 7 + 36023/(-34). Let d = -1036 - u. Determine x so that d*x + 24*x**2 + 21*x**3 + 3 + 3/2*x**5 + 9*x**4 = 0.
-2, -1
Let g be 6 + 3 + 2 + -11 + 3. Let o(h) be the third derivative of 0*h**g + 0*h**7 + 25*h**2 + 0*h - 1/840*h**8 + 0 + 0*h**4 + 0*h**5 + 0*h**6. Factor o(w).
-2*w**5/5
Let d(r) = -7006*r**3 + 286310*r**2 - 19338*r + 328. Let i(g) = 2*g**3 - 18*g**2 - g. Let p(x) = -2*d(x) - 44*i(x). Factor p(l).
4*(l - 41)*(59*l - 2)**2
Let m(f) be the second derivative of -f**4/72 - 83*f**3/18 - 163*f**2/4 + 2462*f. Factor m(h).
-(h + 3)*(h + 163)/6
Suppose -9*h + 60 = -75. Let m be (((-210)/(-49))/h)/(6/14). Let m*o + 1 - 1/3*o**2 = 0. What is o?
-1, 3
Suppose 38 = -2*o - 124. Let n = -68 - o. Find p such that p**4 - 3*p**4 - n*p**2 + 6*p - 8*p**2 - 7*p**4 + 24*p**3 = 0.
0, 2/3, 1
Let c = 137541 + -412613/3. Find g, given that 11*g + 7/3*g**2 - c = 0.
-5, 2/7
Determine t so that 20/3 + 146/9*t - 20/9*t**3 - 2*t**2 = 0.
-3, -2/5, 5/2
Let h be ((-18)/630)/(-2 - 87/(-45)). Let z = 12309223/7014 + 479/1002. Factor 6144/7*y + 96/7*y**3 - z - h*y**4 - 1152/7*y**2.
-3*(y - 8)**4/7
Let n(l) be the third derivative of 1/60*l**6 + 106*l**2 + 0*l**3 + 0*l**5 + 0 - 1/210*l**7 + 0*l + 0*l**4. Factor n(k).
-k**3*(k - 2)
Let x(z) = 12*z**2 - 2874*z + 955. Let v(r) = -2*r - 1. Let q(h) = -v(h) + x(h). Factor q(n).
4*(n - 239)*(3*n - 1)
Suppose -55 = -3*l - 46. Determine p, given that -184*p**3 + 365*p**l - 178*p**3 + 16*p + 13*p**2 + 4 = 0.
-2, -1/3
Let w = 324 - 319. Factor -103*t**3 + t**5 + 196*t**3 + t**w - 95*t**3.
2*t**3*(t - 1)*(t + 1)
Let w(h) = -4*h**4 + 28*h**2. Let u(n) be the first derivative of -n**4/4 - n**3/3 + 47. Let b(f) = -12*u(f) + w(f). Find s, given that b(s) = 0.
-2, 0, 5
Let y(v) = 7*v**2 - 68*v + 578. Let p(t) = 4*t**2 - 34*t + 289. Suppose 5*w + 75 = -10*w. Let d(n) = w*p(n) + 3*y(n). Solve d(c) = 0 for c.
17
Let f = 14 + -10. Suppose f*c + 0*c - 16 = 0. Factor -29*h**3 - h**4 + 0*h**c - 32*h**2 - 3*h**4 - 16*h + 9*h**3.
-4*h*(h + 1)*(h + 2)**2
Let f(y) = -2*y**2 + 5. Let z(v) be the first derivative of 2*v**3/3 - 6*v - 23. Let u(n) = 4*f(n) + 6*z(n). Factor u(c).
4*(c - 2)*(c + 2)
Let c(z) be the second derivative of 6/7*z**2 + 2/7*z**4 + z + 25/21*z**3 + 12 - 1/10*z**5. Factor c(w).
-2*(w - 3)*(w + 1)*(7*w + 2)/7
Let m(c) = -c**3 + 4*c**2 + 10*c - 21. Let b be m(5). Factor -75*t**3 + 720*t**2 + 10*t**b - 320*t + 0*t**3 + 8*t**3 - 98*t**3.
5*t*(t - 8)**2*(2*t - 1)
Let l = 1/2749 + 2719/82470. Let j(g) be the second derivative of 1/18*g**4 - l*g**5 + 1/9*g**3 - 1/3*g**2 + 0 - 17*g. What is v in j(v) = 0?
-1, 1
Let p(g) be the third derivative of -2*g - 25*g**2 + 0 - 1/30*g**5 - 25/3*g**3 - 5/6*g**4. Determine c so that p(c) = 0.
-5
Suppose -30*o - 11 = -101. Solve -4*p**4 + 84 - 12*p**o + 46*p + 100*p**3 - 12*p - 122*p - 80*p**2 = 0 for p.
-1, 1, 21
Let t = -116 - -70. Let o = 51 + t. Factor -2872*k**4 - 143*k**5 - 5601*k**3 + 2592*k - 197*k**o - 3753*k**2 + 97*k**5 + 793*k**4 - 324.
-3*(k + 3)**3*(9*k - 2)**2
Let m = 73 - 78. Let x be 2*3/8*(m - -9). Solve 8 - 12*j + j**2 - 24 + x*j**2 = 0 for j.
-1, 4
Let t(a) be the third derivative of 2*a**7/105 - 29*a**6/30 + 9*a**5/5 + 29*a**4/6 - 56*a**3/3 - 188*a**2. Find f such that t(f) = 0.
-1, 1, 28
Let o(r) be the second derivative of 1/3*r**4 + 0 + 6*r - 8*r**3 + 17*r**2 - 1/180*r**5. Let x(b) be the first derivative of o(b). Factor x(v).
-(v - 12)**2/3
Let w = 10669238/7 - 1524176. Let t(x) = -5*x - 1. Let f be t(-1). Solve 10/7*q + 8/7 - 10/7*q**3 - 2/7*q**f - w*q**2 = 0.
-4, -1, 1
Factor -1448/11*k + 2/11*k**2 + 262088/11.
2*(k - 362)**2/11
Let z(d) be the first derivative of d**5/30 + d**4/3 + 11*d**3/18 - 5*d**2/3 + 1691. Let z(i) = 0. Calculate i.
-5, -4, 0, 1
Let o(l) be the first derivative of -5*l**3/9 + 55*l**2/3 - 120*l + 3709. Factor o(w).
-5*(w - 18)*(w - 4)/3
Let z = -15488 - -15490. Let i(r) be the second derivative of 0*r**z + 0*r**3 - 34*r - 3/20*r**5 - 1/4*r**4 + 0. Suppose i(l) = 0. Calculate l.
-1, 0
Let z = 520 + -241. Let b = z + -278. Let 5/2*i - 1/2*i**3 + b - 1/2*i**4 + 3/2*i**2 = 0. What is i?
-1, 2
Let k(f) be the first derivative of f**4/42 + 13*f**3/21 - 81*f + 10. Let b(t) be the first derivative of k(t). Let b(y) = 0. What is y?
-13, 0
Let i be 44 - 2272/3024*27. Solve i*a + 2/7*a**3 + 82/7 + 86/7*a**2 = 0 for a.
-41, -1
Suppose -1058*l - 696 = -1087*l. Find z, given that -51/2*z + l + 3/2*z**2 = 0.
1, 16
Let n(r) = -2*r + 19. Let l be n(8). Suppose -u + 9 = -l. Factor 25*o**2 - 4*o + 12 - 69*o**2 + o + u*o**3 + 23*o.
4*(o - 3)*(o - 1)*(3*o + 1)
Factor -2*d**2 - 960*d - 4685 - 5*d**2 + 240*d**3 + 4697 + 4*d**2.
3*(d - 2)*(d + 2)*(80*d - 1)
Determine f so that 2360/11*f**2 + 2364/11*f - 2364/11*f**3 + 2/11*f**4 - 2362/11 = 0.
-1, 1, 1181
Suppose o + 4*o - 75 = 0. Let k = 516 - 514. Factor -3 - 14*i**3 - 3*i - 3 + o*i**3 + 2*i + 6*i**k.
(i - 1)*(i + 1)*(i + 6)
Let c(p) = -p**4 - 3*p**3 - 29*p**2 - 9*p. Let h(r) = -4*r + r**3 + r**2 + r + r**2 + 2*r - 3*r**2. Let a(n) = -2*c(n) + 18*h(n). Factor a(w).
2*w**2*(w + 2)*(w + 10)
Let n(f) be the second derivative of 1/16*f**4 + 0*f**2 - 1/80*f**5 - 1/168*f**7 - 1/40*f**6 - 2 + 1/12*f**3 + 37*f. Solve n(q) = 0 for q.
-2, -1, 0, 1
Let f(j) be the first derivative of -35*j**4/16 + 5080*j**3 - 26535015*j**2/8 - 3793205*j/2 - 3582. Factor f(z).
-5*(z - 871)**2*(7*z + 2)/4
Find x, given that -1246/3*x + 4/3 + 414*x**2 = 0.
2/621, 1
Let g(p) be the third derivative of 223*p**6/180 - 224*p**5/45 + 227*p**4/36 - 2*p**3/9 - 2*p**2 - 110*p - 8. Factor g(c).
2*(c - 1)**2*(223*c - 2)/3
Let t(s) be the first derivative of -3*s**5/25 + 213*s**4/20 - 14*s**3 + 1. Factor t(q).
-3*q**2*(q - 70)*(q - 1)/5
Let p(a) be the third derivative of -a**6/24 + 119*a**5/4 - 52805*a**4/8 - 160205*a**3/6 + 1790*a**2. Suppose p(h) = 0. What is h?
-1, 179
Let r = 323 - 323. Let t(n) be the second derivative of -18/7*n**3 + 12*n + r - 6/7*n**2 - 81/28*n**4. Factor t(m).
-3*(9*m + 2)**2/7
Let g(i) be the third derivative of 0*i + 7/192*i**4 + i**2 + 1/8*i**3 + 1/480*i**5 - 42. Suppose g(d) = 0. Calculate d.
-6, -1
Let m(h) be the third derivative of h**6/96 + 19*h**5/24 - 705*h**4/32 + h**2 + 42*h - 2. Factor m(x).
5*x*(x - 9)*(x + 47)/4
Let v(r) be the third derivative of -1/40*r**6 - 3/10*r**5 + 0*r + 15/8*r**4 + 0 - 4*r**3 - 24*r**2. Factor v(m).
-3*(m - 1)**2*(m + 8)
Let j(k) = 40*k**4 - 2394*k**3 + 2454*k**2 - 684*k. Let g(c) = c**4 - c**3 + c**2 + 12*c. Let p(o) = -8*g(o) - j(o). Solve p(v) = 0.
0, 3/8, 2/3, 49
Suppose 5*j + 7 = 27, 0 = -3*x + j + 2. Factor 12*v + 38*v**3 + 36*v**x + 3*v**5 + 0*v + 18*v**4 + v**3.
3*v*(v + 1)**2*(v + 2)**2
Let v be ((-2)/26)/((-92)/1794). Factor -1/4*q + 3/2*q**2 - v + 1/4*q**3.
(q - 1)*(q + 1)*(q + 6)/4
Let b = 869 - 867. What is o in -241