*q**4 - 6*q**2 + q**2.
-2*q*(q - 1)*(q + 1)**2
Let y(v) be the second derivative of 7*v**5/4 + 3685*v**4/12 - 1330*v**3/3 - 530*v**2 - 609*v. Factor y(u).
5*(u - 1)*(u + 106)*(7*u + 2)
Let o(a) = -a**2 - 12*a + 16. Let g be o(-12). Suppose -10*c + 2*c = -g. Find z such that -2*z**c - 1 + 8 - 3 - 2*z = 0.
-2, 1
Let t = -56077/4 - -392603/28. Let y = 2047/21 - 265/3. Find o such that 1/7*o**2 + y - t*o = 0.
8
Let m(a) be the second derivative of -a**6/330 + a**4/66 - a**2/22 - 2*a + 404. Suppose m(x) = 0. What is x?
-1, 1
Let d be -2*14/(-48)*8. Let 22/3*l - d*l**2 + 2/3*l**3 - 10/3 = 0. What is l?
1, 5
Let p(w) = -w + 9. Let m be p(7). Let h = -319 + 322. Solve -390 + 4*t**h + 390 + 4*t**m = 0.
-1, 0
Let f be 15*14/(-525)*-2. Solve -12/5*k**2 + 0*k**3 - 8/5*k + f*k**4 + 0 = 0 for k.
-1, 0, 2
Let g(b) = -b**2 - 3*b + 3. Let p be g(1). Let c be ((-15)/5)/(1/p). Factor d**2 + c*d + 4*d**2 - 8*d.
5*d*(d - 1)
Let u(z) be the first derivative of -2*z**3/15 - 938*z**2/5 - 439922*z/5 + 220. Factor u(a).
-2*(a + 469)**2/5
Let s(i) be the first derivative of i**5 + 20*i**4 + 70*i**3 - 980*i**2 - 8575*i - 222. Suppose s(h) = 0. Calculate h.
-7, 5
Let k(p) be the second derivative of p**7/56 + 19*p**6/40 + 309*p**5/80 + 57*p**4/16 - 63*p**3 + 243*p**2/2 + 2735*p. Find y such that k(y) = 0.
-9, -6, 1
Let q(b) be the first derivative of b**7/420 - 7*b**6/90 - 17*b**5/15 - 6*b**4 - b**3 + 4*b**2 + 50. Let y(s) be the third derivative of q(s). Factor y(a).
2*(a - 18)*(a + 2)**2
Let o(w) be the second derivative of -3*w**5/20 - 3*w**4 - 11*w**3/2 - 120*w. Let o(m) = 0. What is m?
-11, -1, 0
Let 2256 - 4*t**2 + 455*t - 696*t - 879*t = 0. Calculate t.
-282, 2
Let c be (-947)/(-27) + 554/(-7479). Let o(z) be the third derivative of 0*z + 50/3*z**3 - c + 2*z**2 - 5/6*z**4 + 1/60*z**5. Factor o(t).
(t - 10)**2
Let h(b) be the third derivative of b**8/3360 - 2*b**7/315 + 7*b**6/360 - 2*b**4/3 - b**3/2 - 109*b**2. Let m(d) be the second derivative of h(d). Factor m(t).
2*t*(t - 7)*(t - 1)
Let m(z) be the third derivative of -z**7/105 - 3*z**6/20 - 4*z**5/5 - 5*z**4/3 - 3259*z**2. Factor m(p).
-2*p*(p + 2)**2*(p + 5)
Let q(z) be the first derivative of -119 + 8/5*z**5 - 4*z**3 + z**4 - 2*z**2 + 4*z. Factor q(c).
4*(c - 1)*(c + 1)**2*(2*c - 1)
Let m(i) be the first derivative of 144*i + 30*i**2 - 26/3*i**3 - 4*i**4 - 2/5*i**5 - 155. Suppose m(v) = 0. What is v?
-4, -3, 2
Let z(i) be the third derivative of -i**7/168 + 3*i**6/32 - 5*i**5/8 + 55*i**4/24 - 5*i**3 - 3470*i**2. What is o in z(o) = 0?
2, 3
Suppose 4*u + 24548 = -15*u. Let k be 2*(-8)/(-30)*(-3230)/u. Solve k*y**3 - 1/3*y**4 - 2*y**2 - 1/3 + 4/3*y = 0.
1
Let n(x) be the first derivative of -x**5/2 - 19*x**4/8 - 5*x**3/3 + 7*x**2 + 12*x - 2000. Determine c, given that n(c) = 0.
-2, -1, 6/5
Factor 90518849 - 1811715/2*r**2 - 4039/2*r**3 - 270346941/2*r - 3/2*r**4.
-(r + 449)**3*(3*r - 2)/2
Suppose 16*h - 3*o = 11*h + 22, 0 = 4*h - 5*o - 28. Suppose -3*u - h*w = 2*w + 16, 16 = u - 4*w. Let 2/5*z**4 + 0 + 2/5*z**3 + u*z**2 + 0*z = 0. What is z?
-1, 0
Find o, given that -29*o**4 + 17 + 20*o**3 + 35*o**2 - 6*o**4 + 36*o**4 - 20*o - 53 = 0.
-18, -2, -1, 1
Let s(k) = -14504*k + 3. Let d be s(0). Let z be (1 + 2 - 2) + 1. What is f in 12/7 - 20/7*f + 4/7*f**d + 4/7*f**z = 0?
-3, 1
Let z(p) be the second derivative of 3*p**3 + 0*p**2 - 4/5*p**6 + 1/21*p**7 + 0 + 3*p**5 - 14/3*p**4 - 26*p. Factor z(s).
2*s*(s - 9)*(s - 1)**3
Factor 167/4*w**3 + 3/4*w**2 - 167/4*w - 3/4.
(w - 1)*(w + 1)*(167*w + 3)/4
Let d(l) be the third derivative of -200*l**2 + 0 + 0*l + 14/15*l**3 - 3/50*l**5 + 61/60*l**4. Factor d(c).
-2*(c - 7)*(9*c + 2)/5
Let w(c) be the third derivative of -c**6/360 + 23*c**5/90 - 649*c**4/72 + 484*c**3/3 + 2051*c**2. Suppose w(k) = 0. Calculate k.
11, 24
Let x(g) be the second derivative of 25*g**4/12 - 24715*g**3/6 - 4945*g**2 - 6451*g. Find z such that x(z) = 0.
-2/5, 989
Let n be ((-150)/(-25) + (-25)/4)/((-6)/168). Let t(j) be the third derivative of 0*j - n*j**4 - 1/10*j**6 - 33*j**2 - 8*j**3 + 0 + 31/20*j**5. Factor t(a).
-3*(a - 4)**2*(4*a + 1)
Let u(r) = -r**4 + 2*r**3 - 2*r**2 - r. Let p(z) = -z**5 - 8*z**4 + 19*z**3 - 14*z**2 - 8*z. Let l(q) = -3*p(q) + 24*u(q). Determine f so that l(f) = 0.
-1, 0, 2
Let b(z) = z**5 - 4*z**4 + 20*z**3 - 22*z**2 + 11*z - 2. Let m(h) = 5*h**5 - 15*h**4 + 78*h**3 - 86*h**2 + 45*h - 9. Let d(f) = -36*b(f) + 8*m(f). Factor d(v).
4*v*(v - 1)**3*(v + 9)
Let j = -271270 - -271270. Factor 1/5*b**5 + 7/5*b**3 - 3/5*b**2 - b**4 + 0*b + j.
b**2*(b - 3)*(b - 1)**2/5
Let q = 1386 - 1126. Let y be (64/q)/((-8)/(-40)). Find a such that -6/13*a**3 - y*a**2 + 0 - 8/13*a = 0.
-2, -2/3, 0
Suppose -7*i + 57 = -111. Factor 38*f + 1286*f**3 + 1287*f**3 - 2571*f**3 + i + 16*f**2.
2*(f + 1)*(f + 3)*(f + 4)
Suppose 0 = 3*b - 4*y - 349, 10*y = 4*b + 15*y - 486. Factor -b*g + 5*g**2 - 187 + 9595 - 21*g - 196*g - 2*g**2.
3*(g - 56)**2
Let i(d) be the second derivative of -4 - 13*d + 12*d**3 + 540*d**2 + 1/10*d**4. Let i(z) = 0. What is z?
-30
Let h = -116000 - -116000. Let -2/7*v**3 + 6/7*v**4 + h + 0*v - 4/7*v**2 = 0. Calculate v.
-2/3, 0, 1
Let u = 10294960/23 - 447606. Let 2/23*d**3 + 36/23 - u*d**2 - 18/23*d + 2/23*d**4 = 0. Calculate d.
-3, -2, 1, 3
Factor -76*t**3 - 3 - 104*t**3 + 3 + 185*t**3 - 110*t**2.
5*t**2*(t - 22)
Let u(x) be the first derivative of 2/15*x**3 + 3/2*x**2 - 81 + 7/5*x - 9/25*x**5 - 7/10*x**4 - 1/30*x**6. Solve u(y) = 0.
-7, -1, 1
Let u(s) = -35*s**2 + 824*s. Let t(d) = 60*d**2 - 1650*d. Let k(a) = -3*t(a) - 5*u(a). Factor k(b).
-5*b*(b - 166)
Let b(u) = 2*u**4 + 90*u**3 + 178*u**2 + 77*u + 13. Let p(w) = w**4 + 36*w**3 + 71*w**2 + 31*w + 5. Let q(l) = -5*b(l) + 13*p(l). What is f in q(f) = 0?
-3, -2, -1, 0
Let x(q) be the second derivative of q**6/195 + 9*q**5/130 + 23*q**4/78 + 5*q**3/13 - 3221*q. Solve x(z) = 0 for z.
-5, -3, -1, 0
Let a be 26478/24 - (0 + 18/(-6)). Let p = -1104 + a. Let -15/8 - 3/8*h**2 - p*h = 0. Calculate h.
-5, -1
Let m = 307927 - 307925. Suppose 178/5*y**2 + 36/5 + m*y**4 + 74/5*y**3 + 30*y = 0. Calculate y.
-3, -1, -2/5
Suppose -2*q = -5*w - 20, -9*w - 4 = -7*w. Suppose 175*n + 464*n**2 + 46*n + 0*n**4 + 355*n + 2*n**q + 172*n**3 + 30*n**4 + 256 = 0. What is n?
-4, -2, -1
Let h = -11 - -14. Let m(a) be the first derivative of -15*a**4 - a**5 + 0*a**5 + 599*a**h - 14 - 679*a**3 - 12 - 160*a**2. Find b such that m(b) = 0.
-4, 0
Suppose -109*n + 103*n = 47*n. What is b in n*b - 2/19*b**3 + 12/19*b**2 + 0 = 0?
0, 6
Let c(y) = y. Let z(d) = 2*d**2 - 10*d + 66. Let r(h) = -36*c(h) + 2*z(h). Suppose r(j) = 0. Calculate j.
3, 11
Let l = -441963 + 441966. Factor 0*q + 0 + 1/2*q**l + 5*q**2.
q**2*(q + 10)/2
Suppose 0 = -4*l - 5*q + q - 48, -2*q = -l. Let k be (-10)/l - (-41)/(-164). Suppose 5/4*n**2 - k - 2*n = 0. What is n?
-2/5, 2
Let x(k) = k**2 + 4*k - 1. Let c(n) = 6*n**2 - 1764*n - 3. Let v(l) = -c(l) + 3*x(l). Factor v(d).
-3*d*(d - 592)
Factor -39*n**2 + 144 - 1477 - 1017*n - 152 - 3*n**3 - 144*n**2.
-3*(n + 3)**2*(n + 55)
Let h be (-603288)/(-133672) + (-5)/(-155). Solve h*d**3 + 8/11 - 24/11*d - 18/11*d**2 + 18/11*d**4 - 18/11*d**5 = 0 for d.
-1, 1/3, 2/3, 2
Let -780*q - 1/4*q**3 + 3600 - 29*q**2 = 0. What is q?
-60, 4
Suppose 6830125 + 200*f + f**2 - 6830125 = 0. What is f?
-200, 0
Let m(r) = r - 6. Let n be m(0). Let j be (n/(-9))/((-2)/(-9)). Factor 10*i**2 + 6*i**3 + 8*i**j - 5*i**4 - 9*i**3.
-5*i**2*(i - 2)*(i + 1)
Let v be (4 - 0)/2 + 0. Let c be (0 - 1 - (-10)/4)*v. Find l such that -4*l**2 - 9*l**2 - 15*l**2 - 5*l**c + 8*l**2 - 15*l = 0.
-3, -1, 0
Let u(b) be the third derivative of b**5/140 - 625*b**4/56 - 627*b**3/7 - 3*b**2 - 631*b. Suppose u(h) = 0. What is h?
-2, 627
Let g(z) = -16*z - 186. Let i be g(-11). Let f be (-10)/3 - (-14 - i). Factor 4/3*k + 2/3 + f*k**2.
2*(k + 1)**2/3
Suppose -16*s - 5*k = -14*s + 50, -k = 2*s + 2. Determine j, given that 96*j**3 - 576/7*j**2 + 4/7*j**s - 100/7*j**4 + 0*j + 0 = 0.
0, 1, 12
Let t be 1130/(-280) + 4 - 1131/(-2436). Determine k so that t*k**2 - 72/7 - 150/7*k + 33/7*k**3 + 6/7*k**4 = 0.
-4, -3, -1/2, 2
Let t(o) = 80*o + 1204. Let k be 10 - (-1)/((-2)/50). Let w be t(k). Solve -12/7 - 80/7*p**2 + 50/7*p - 20/7*p**w + 2/7*p**5 + 60/7*p**3 = 0 for p.
1, 6
Solve -2025*c - 267*c**3 + 1925*c