33, 0, 1/2, 3
Suppose -16*w + 25 = -21*w. Let j = w + 9. Suppose 22*g**3 + j*g**2 + 26*g**4 - 11*g**3 - g**5 + 9*g**5 + 11*g**3 = 0. What is g?
-2, -1, -1/4, 0
Let d(p) be the first derivative of p**6/6 + 18*p**5/5 + 12*p**4 - 262*p**3/3 + 303*p**2/2 - 108*p + 12006. Solve d(s) = 0.
-12, -9, 1
Determine i, given that -4/7*i**5 + 3/7*i + 0 + 17/7*i**2 + 3*i**3 + 3/7*i**4 = 0.
-1, -1/4, 0, 3
Let j(q) be the first derivative of q**5/570 - 11*q**4/114 - 23*q**3/57 + q**2 - 31*q + 35. Let s(w) be the second derivative of j(w). Factor s(y).
2*(y - 23)*(y + 1)/19
Let v(p) = 3*p**2 - 52*p - 34. Let g be v(18). Let z = -199 + 1394/7. Factor 1/7*j**g - z*j**4 + 0*j + 0*j**3 + 0.
-j**2*(j - 1)*(j + 1)/7
Suppose -600 = -72*b - 68*b + 20*b. Let m(z) be the first derivative of 2/7*z - b - 1/2*z**2 + 2/21*z**3 + 3/28*z**4. Suppose m(p) = 0. Calculate p.
-2, 1/3, 1
Let d(x) = x**3 - 555*x**2 + 1072*x - 532. Let u(q) = -q**3 + 185*q**2 - 357*q + 177. Let f(l) = -2*d(l) - 7*u(l). Factor f(v).
5*(v - 35)*(v - 1)**2
Let g(l) be the second derivative of -49/16*l**3 - 18*l**2 + 0 - 1/160*l**5 + 11*l + 7/32*l**4. Let u(a) be the first derivative of g(a). Factor u(h).
-3*(h - 7)**2/8
Suppose 9*c - 6*c - 4*q = 96, c + 5*q = 13. Factor -5*p**2 - 21*p**2 + 6*p**2 + 19 + c*p - 27.
-4*(p - 1)*(5*p - 2)
Let l(f) = -f**3 + 3*f**2 - 58*f - 488. Let j be l(-5). Find d such that -16/5*d**j + 16/5 + 2/5*d**3 - 2/5*d = 0.
-1, 1, 8
Let s(r) = 49*r + 58. Let x be s(10). Find c, given that 80*c**4 + 245 - 639*c**2 + 952*c**2 + 120*c**3 - x*c**2 - 210*c = 0.
-7/4, 1
Let y = 391230 - 391228. Determine r, given that 64/5*r**y - 28/5 - 2*r**3 + 46/5*r = 0.
-1, 2/5, 7
Let x be 35910/(-11115) - (1/(-1) - 5). Factor -10/13*k**2 + 86/13*k + x.
-2*(k - 9)*(5*k + 2)/13
Determine f so that -571*f**2 + 273*f**2 + 297*f**2 - 10*f = 0.
-10, 0
Let m be 8 - ((-188)/14 - 0)*(-210)/360. Factor 7/3*a + m*a**2 + 49/6.
(a + 7)**2/6
Let x(b) be the second derivative of -3*b**5/20 - 173*b**4/20 + 7*b**3 - 1650*b - 1. Suppose x(v) = 0. Calculate v.
-35, 0, 2/5
Let l = -22 + 22. Suppose -11*m + 33 = -l*m. Factor -6*f**2 + 2*f**2 - m + 7*f**2.
3*(f - 1)*(f + 1)
Let v be 1*(216/90 - (-144)/(-60)). Let 1/4*s**2 + 1/2*s**3 - 1/2*s + v - 1/4*s**4 = 0. What is s?
-1, 0, 1, 2
Suppose -12416/9*p - 144*p**2 + 2/9*p**4 - 22/9*p**3 - 35840/9 = 0. Calculate p.
-8, 35
Let h(j) = -9*j + 109. Let x be h(12). Suppose -36*r = -41*r - 2*z, z + x = -2*r. Factor 0 - 2/9*i**r + 0*i - 2/9*i**3.
-2*i**2*(i + 1)/9
Let z = -2296670/7 - -328096. Determine u so that 48/7*u**2 + 484/7 + 330/7*u + z*u**3 = 0.
-11, -2
Let d(q) be the second derivative of -q**4/12 - 41*q**3/6 + 66*q**2 + 3*q + 451. Factor d(u).
-(u - 3)*(u + 44)
Let f(m) be the third derivative of m**9/1008 - m**8/280 - m**7/56 + m**6/20 + 125*m**3/6 - 321*m**2. Let g(x) be the first derivative of f(x). Factor g(s).
3*s**2*(s - 3)*(s - 1)*(s + 2)
Let s be 5*((-12)/(-78) + (-408)/(-390)). Suppose 3*o = -3*t - s, 3 = -2*t - 2*t - 3*o. Factor 3/7*z**t - 15/7*z + 0 - 12/7*z**2.
3*z*(z - 5)*(z + 1)/7
Let i(b) = 2*b - 19. Let f be i(11). Suppose -48 = f*c - 57. Factor -12*x**2 + 328*x - x**c - 328*x + 16 + 5*x**3.
4*(x - 2)**2*(x + 1)
Suppose 3*x - 5*n - 135 = 0, 0 = 7*x - 11*x + 5*n + 175. Suppose -x*p + 48*p = 24. Factor -1/9*h**4 - 1/3*h**p + 0 + 0*h + 4/9*h**2.
-h**2*(h - 1)*(h + 4)/9
Let s = -5467 + 43745/8. Let n(v) be the second derivative of s*v**4 + 14*v - 3/8*v**5 - 7/4*v**3 + 0 + 3/2*v**2 + 1/20*v**6. Find c, given that n(c) = 0.
1, 2
Let f(u) be the third derivative of -u**7/4620 - 2*u**6/495 - u**5/132 + 29*u**4/8 - 72*u**2. Let p(y) be the second derivative of f(y). Solve p(z) = 0.
-5, -1/3
Suppose -68/3*c - 88 - 4/3*c**2 = 0. What is c?
-11, -6
Let x(o) be the third derivative of -o**7/350 + 2*o**6/25 - 16*o**5/25 - 307*o**2. Factor x(l).
-3*l**2*(l - 8)**2/5
Let o(k) be the third derivative of -k**6/40 + 13*k**5/20 - 23*k**4/4 + 24*k**3 - 12*k**2 - 114. Factor o(x).
-3*(x - 8)*(x - 3)*(x - 2)
Find m such that -36/5*m**3 + 108/5 - 12/5*m**4 + 144/5*m + 21/5*m**2 = 0.
-2, -3/2, 2
Suppose 5*w = f - 1237 + 1180, 40 = -2*f - 4*w. Solve -o**4 + 2/7*o**f - 1/7*o**5 + 11/7*o + 5/7 - 10/7*o**3 = 0 for o.
-5, -1, 1
Determine w so that 2/15*w**5 - 286/15*w - 4/15*w**2 - 142/15 + 284/15*w**3 + 146/15*w**4 = 0.
-71, -1, 1
Find h, given that -192 - 93*h + 3/2*h**2 = 0.
-2, 64
Suppose 12*o - 21535 = 43*n - 38*n, -4*o = 5*n - 7265. Suppose -1/2*j**2 - o - 60*j = 0. What is j?
-60
Let n(o) be the third derivative of -o**7/336 + o**6/288 - 24*o**3 + 20*o**2 - 6*o. Let v(t) be the first derivative of n(t). Factor v(b).
-5*b**2*(2*b - 1)/4
Let g(l) be the third derivative of l**8/13440 - l**7/1680 - 16*l**5/15 + l**2 - 37*l. Let b(k) be the third derivative of g(k). Factor b(v).
3*v*(v - 2)/2
Let q(i) be the third derivative of i**7/84 - 13*i**6/16 - 15*i**5/4 + 205*i**4/6 + 2454*i**2. Find m such that q(m) = 0.
-4, 0, 2, 41
Suppose 2*a + 4 = 0, -5*b - a + 12 = -6. Let z(n) = -n**2 - 7*n - 7. Let x be z(-5). Determine p so that -14*p**x + 20*p + 3*p**3 - 5*p**b - 4*p**3 = 0.
-2, 0, 1
Let q(t) be the third derivative of t**9/302400 + t**8/1440 + 7*t**7/144 + 13*t**5/30 + 17*t**2 + 5*t. Let a(c) be the third derivative of q(c). Solve a(o) = 0.
-35, 0
Let s(v) = -1310*v - 69426. Let m be s(-53). Factor 1/4*u**5 + 1/2*u**m + 7/2*u**2 - 3*u**3 + 0 - 5/4*u.
u*(u - 1)**3*(u + 5)/4
Let t = -3800 + 3800. Let p(o) be the first derivative of 4*o**2 + t*o + 0*o**4 + 4*o**3 - 4/5*o**5 - 1. Suppose p(z) = 0. What is z?
-1, 0, 2
Suppose 9*c = -364 - 1013. Let s be (c/374)/((-18)/33). Factor s*m**5 - 21/4*m**4 + 57/4*m**3 + 12*m - 3 - 75/4*m**2.
3*(m - 2)**2*(m - 1)**3/4
Find z such that 20*z - 96/7 - 6*z**2 - 2/7*z**3 = 0.
-24, 1, 2
Let v(z) be the second derivative of -z**7/3360 + z**6/480 - 91*z**4/12 + 2*z - 37. Let a(s) be the third derivative of v(s). Factor a(b).
-3*b*(b - 2)/4
Suppose -11820*k**2 - 45129*k**3 - 4*k**4 - 357492 + 153760*k + 45513*k**3 - 828*k**2 = 0. Calculate k.
3, 31
Let k be (((-2 - -1) + -1)/((-1252)/1565))/20. Factor -k*j**3 + 0 + 3*j**2 + 0*j.
-j**2*(j - 24)/8
Let a = 135/77 + 325/693. Let s(x) be the first derivative of -23 + 0*x + 25/3*x**2 + a*x**3 + 1/6*x**4. Factor s(c).
2*c*(c + 5)**2/3
Let a(p) = -p**3 - 2*p**2 + 7*p + 1. Let k be a(-4). Suppose 0 = 5*s + 5, 4*w - k*w = -3*s - 6. Factor 12/5*r**2 + 0*r + 3/5*r**4 + 0 - w*r**3.
3*r**2*(r - 4)*(r - 1)/5
Factor 2/3*g**3 + 45762*g + 138338/3 - 350*g**2.
2*(g - 263)**2*(g + 1)/3
Let r(f) be the third derivative of -5*f**8/336 - 2*f**7/7 - 29*f**6/24 + 7*f**5/2 - 1696*f**2. Find m, given that r(m) = 0.
-7, -6, 0, 1
Let p(c) be the first derivative of -c**6/21 + c**5/7 + 39*c**4/28 + 26*c**3/21 - 22*c**2/7 - 24*c/7 + 4373. Find w, given that p(w) = 0.
-2, -1/2, 1, 6
Let g be (375/60 - 7)/(1/4) - -9. Let o(j) be the third derivative of 0*j**3 + 1/60*j**5 + 0*j - 15*j**2 + 0 + 0*j**4 - 1/120*j**g. Factor o(f).
-f**2*(f - 1)
Suppose 200/9*s - 334/3*s**4 + 334/3*s**2 - 190/9*s**3 + 0 - 10/9*s**5 = 0. What is s?
-100, -1, -1/5, 0, 1
Let r(b) be the first derivative of -b**5/90 - 8*b**4/9 - 256*b**3/9 + 49*b**2/2 - 62. Let s(k) be the second derivative of r(k). Factor s(w).
-2*(w + 16)**2/3
Let m = 970 - 967. Let c(a) be the first derivative of -3/10*a**2 - 16 - 1/20*a**4 - 4/15*a**m + 0*a. What is k in c(k) = 0?
-3, -1, 0
Let g(w) be the first derivative of -w**6/40 + 11*w**5/40 + w**4/2 + 2*w**3 + w**2 - 7. Let a(v) be the third derivative of g(v). Let a(f) = 0. Calculate f.
-1/3, 4
Let l = -198023/4 + 49506. Let -1/4*g**2 + 1/4*g + 1/4 - l*g**3 = 0. What is g?
-1, 1
Suppose 3*x - 2*x - 97 = -u, -4*u + 286 = 3*x. Let j be (-170)/x*(-2)/5. Factor -j*w**4 + 0*w**3 + 0 + 0*w + 0*w**2 + 7/3*w**5.
w**4*(7*w - 2)/3
Let r(w) be the second derivative of -w**7/35 + 3*w**6/10 + 93*w**5/50 - 121*w**4/20 + 3*w**3/5 + 12*w**2 + 681*w - 2. Find s such that r(s) = 0.
-4, -1/2, 1, 10
Let m(k) = -34*k + 104. Suppose 48*z - 2*n + 3 = 49*z, 4*z = 4*n + 12. Let j be m(z). Suppose -1/5*f**3 + 0 - 4/5*f**j - 3/5*f = 0. What is f?
-3, -1, 0
Let j(p) = 9*p**2 - 12*p + 6. Suppose 0 = -a - 4*u - u - 28, -7 = 4*a - u. Let k(n) = n**3 - n**2 + n. Let w(h) = a*k(h) + j(h). Factor w(v).
-3*(v - 2)*(v - 1)**2
Let z be (6/5)/(-11 - (-513)/45). Fa