+ 21*v**2 - v. Determine s, given that g(s) = 0.
-42, 17
Let v(f) be the second derivative of -11*f**5/60 + 25*f**4/27 - f**3/18 - 17*f - 11. What is a in v(a) = 0?
0, 1/33, 3
Let x(m) be the first derivative of 0*m**2 - 1/24*m**4 + 1/40*m**5 - 6*m - 17 + 0*m**3. Let b(p) be the first derivative of x(p). Let b(h) = 0. Calculate h.
0, 1
Let h(k) be the first derivative of 30*k - 40 + 35/2*k**2 + 5/3*k**3. Factor h(y).
5*(y + 1)*(y + 6)
Let x = 2519/9 + -279. Suppose f - 162 + 138 = 4*t, t + 6 = 0. Factor -2/3*a**4 + x*a**3 - 2/9*a**2 + f + 0*a.
-2*a**2*(a - 1)*(3*a - 1)/9
Let a(n) be the first derivative of -4*n + 4*n**2 - 5/3*n**3 - 10 + 1/4*n**4. Suppose a(m) = 0. What is m?
1, 2
Let d(j) = -6*j**3 + 309*j**2 + 1188*j + 885. Let i(o) = 9*o**3 - 617*o**2 - 2375*o - 1769. Let g(b) = -5*d(b) - 3*i(b). Factor g(h).
3*(h + 1)*(h + 3)*(h + 98)
Factor 220/3*m - 2/3*m**3 - 2/3*m**2 + 0.
-2*m*(m - 10)*(m + 11)/3
Let n be (-2)/21*20/(28000/(-11145)). Let o = n + -2/245. What is f in -3/4*f + o*f**2 + 1/4 - 1/4*f**3 = 0?
1
Let f(w) = -2*w**3 - 10*w**2 + 9*w + 107. Let i be f(-6). Find b, given that -1400*b**5 + 1250*b - 164*b**3 + 1395*b**5 - 61*b**3 - 65*b**4 + i*b**2 = 0.
-5, 0, 2
Let z(t) be the first derivative of 22 - 100*t - 52*t**2 - 4/3*t**3. Factor z(r).
-4*(r + 1)*(r + 25)
Let s(n) = -8*n**2 + 1468*n + 2241. Let x(o) = -4*o**2 + 734*o + 1122. Let c(z) = 4*s(z) - 7*x(z). Find h such that c(h) = 0.
-3/2, 185
Let f(v) be the first derivative of -44 - 4*v**3 - 11*v**2 - 32/3*v - 1/6*v**4. Factor f(i).
-2*(i + 1)**2*(i + 16)/3
Suppose 1/7*k**5 + 0 + 6/7*k - 1/7*k**4 + 1/7*k**2 - k**3 = 0. What is k?
-2, -1, 0, 1, 3
Let y(v) = -2*v**4 - 6*v**2 - 2*v + 6. Let d be 6/45 + 0 - 352/(-60). Let i(k) = 2*k**4 + k**3 + 6*k**2 + 2*k - 5. Let m(t) = d*i(t) + 5*y(t). Factor m(n).
2*n*(n + 1)**3
Factor 0 - 46*s**2 - 1/2*s**3 - 1058*s.
-s*(s + 46)**2/2
Let q(i) = -3*i**4 + 222*i**3 + 223*i**2 + 2*i - 2. Let s(k) = k**4 + k**3 - k**2 + k - 1. Let m(g) = q(g) - 2*s(g). Let m(j) = 0. Calculate j.
-1, 0, 45
Let u(g) = -g + 3. Let a be u(-1). Suppose -48 = -a*i - 40. Factor 3 + 5*p - 9*p - 2*p**i - 15 + 14*p.
-2*(p - 3)*(p - 2)
Determine t, given that -34*t - 655*t**3 - 443*t**2 - t**5 + 578*t**3 + 333*t**2 - 16*t**4 - 14*t = 0.
-8, -6, -1, 0
Let v = -36823/124 - -9260/31. Factor -v*b**4 - 9/4*b**3 + 0 - 1/2*b**2 + 0*b.
-b**2*(b + 1)*(7*b + 2)/4
Let v be (-18 - (-6160)/340)/((-1)/(-3)). Let k(s) be the second derivative of -v*s**2 - 1/51*s**3 - 6*s + 1/102*s**4 + 0. Factor k(x).
2*(x - 3)*(x + 2)/17
Suppose -8*n - 5*o = -11*n + 824, 0 = o + 1. Suppose 280*m = n*m. Determine q so that 1/3*q**3 - 4/3*q + m + q**2 = 0.
-4, 0, 1
Suppose -5 = o - 4*d, 106*o - 101*o = -3*d + 21. Let c = 191/270 + -28/135. Factor -3/2 + c*k - 1/2*k**o + 3/2*k**2.
-(k - 3)*(k - 1)*(k + 1)/2
Let h(l) = -47*l**2 + 344*l + 696. Let n(j) = 15*j**2. Let b(g) = 2*h(g) + 6*n(g). Solve b(t) = 0 for t.
-2, 174
Let w(j) = 9*j**4 - 78*j**3 + 3*j**2 + 99*j + 3. Let x(o) = 11*o**4 - 78*o**3 + 5*o**2 + 106*o + 4. Let d(n) = 4*w(n) - 3*x(n). Factor d(c).
3*c*(c - 26)*(c - 1)*(c + 1)
Let u(o) be the second derivative of 0*o**2 + 10/3*o**3 - 5/12*o**4 + 1/6*o**6 - 1 + 3*o - o**5. Let u(l) = 0. What is l?
-1, 0, 1, 4
Let v be (0 + 1)/(4 + -2) - 346/(-3460). Let t(g) = -2*g**2 - 26*g - 22. Let m be t(-12). Solve -27/5 - v*w**m + 18/5*w = 0.
3
Let g be 10/6 + (-861)/1107. Let r(b) be the first derivative of -g*b + 0*b**2 + 0*b**4 - 18 - 2/45*b**5 + 10/27*b**3. Suppose r(p) = 0. What is p?
-2, -1, 1, 2
Let z(u) be the second derivative of 0*u**3 + 0*u**2 - 92 + 3/20*u**5 + u + 3/4*u**4. Determine i so that z(i) = 0.
-3, 0
Let j(d) = -10*d**2 + 960*d - 385. Let o(y) = 3*y**2 - 1. Let l(a) = j(a) - 5*o(a). Factor l(f).
-5*(f - 38)*(5*f - 2)
Let b(v) be the third derivative of -v**5/15 + 365*v**4/3 - 266450*v**3/3 + 6*v**2 - 43. Factor b(p).
-4*(p - 365)**2
Let a(w) be the third derivative of -w**8/84 + 2*w**7/7 - 13*w**6/30 - w**5 + 7*w**4/3 + 11*w**2 - 16. Suppose a(l) = 0. Calculate l.
-1, 0, 1, 14
Let l(b) be the third derivative of b**6/4 - 95*b**5/12 + 445*b**4/24 + 1662*b**2. Find y such that l(y) = 0.
0, 1, 89/6
Suppose 27*j = 6*j + 11025. Let z be ((-2)/6 + (-35)/j)*-5. Let -1/3*w**z + 2/3*w**3 - 1/6*w**4 - 2/3*w + 1/2 = 0. What is w?
-1, 1, 3
Let b(q) be the first derivative of q**5/270 + q**4/27 + 4*q**3/27 + 7*q**2/2 - 2*q - 34. Let w(f) be the second derivative of b(f). Factor w(y).
2*(y + 2)**2/9
Let o(w) = -w**3 - 12*w**2 + 9*w - 18. Let j be o(-13). Let n = j + -32. Factor -10*h + 4 + 12*h**2 - n*h**3 + 0 - 4*h**2.
-2*(h - 2)*(h - 1)**2
Let q = -24604 - -172587/7. Let m = q + -51. Factor 4/7*s**3 - 4/7*s**2 - 2/7*s**5 + 2/7 - m*s + 2/7*s**4.
-2*(s - 1)**3*(s + 1)**2/7
Let t(b) be the third derivative of -b**6/30 - 9*b**5/5 + 14*b**4/3 + 5*b**2 - 42. Factor t(k).
-4*k*(k - 1)*(k + 28)
Let m be (-5)/(-3) - ((-36331)/(-564) + -63). Factor m*t**2 - 19/4 - 9/2*t.
(t - 19)*(t + 1)/4
Let d(m) be the second derivative of -1/4*m**5 + 3 - 95/6*m**3 - 30*m**2 - 10/3*m**4 - 2*m. What is u in d(u) = 0?
-4, -3, -1
Let y(c) = -4*c**3 - 34*c**2 + 213*c + 621. Let u(t) = -2*t**3 - 16*t**2 + 106*t + 312. Let b(w) = -7*u(w) + 4*y(w). Find h such that b(h) = 0.
-15, -2, 5
Let q = -7282 - -21847/3. Let f(u) be the first derivative of -20/9*u**3 + 27 - 8/3*u**2 - q*u**4 + 0*u. Suppose f(l) = 0. Calculate l.
-4, -1, 0
Let o be (-21)/(-140)*(-22)/(-12). Let h(a) be the third derivative of 0 + o*a**4 + 4/25*a**5 + 8*a**2 + 1/5*a**3 + 7/200*a**6 + 0*a. Factor h(r).
3*(r + 1)**2*(7*r + 2)/5
Let t(o) be the third derivative of 1/280*o**6 + 0*o**3 - 3/140*o**5 - 7 + 3*o**2 + 0*o + 0*o**4. Factor t(m).
3*m**2*(m - 3)/7
Let s = -309 - -306. Let i(v) = -v**3 + 87*v**2 + 882*v + 6. Let y(g) = -2*g**3 + 88*g**2 + 882*g + 8. Let n(b) = s*y(b) + 4*i(b). Find k such that n(k) = 0.
-21, 0
Let o(n) = -n**3 + 4*n**2 + 98*n - 228. Let d be o(11). Let r(q) be the second derivative of -22*q - 7/9*q**d - 2/3*q**2 - 1/6*q**4 + 0. Solve r(c) = 0.
-2, -1/3
Suppose 0 = 3*c - 25 + 16. Suppose -c - 2 = -v. Solve 5*s**2 + 0*s**2 + 598*s**3 + 15*s**4 - 5*s**v - 613*s**3 = 0.
0, 1
Let a(n) be the third derivative of n**5/60 + 9*n**4/8 + 1068*n**2. Find x such that a(x) = 0.
-27, 0
Find n such that 14*n + 0 - 1/2*n**2 = 0.
0, 28
Let f = -88/16683 - -1134884/83415. Determine d so that f - 14/5*d**2 - 234/5*d = 0.
-17, 2/7
Let w(o) = 5*o**4 + 60*o**3 + 110*o**2 + 85*o + 30. Let f(z) = -z**3 - z**2. Let c = 553 - 528. Let v(h) = c*f(h) + w(h). Determine i, given that v(i) = 0.
-3, -2, -1
Factor -4*w**3 - 37408*w - 49392 + 5452/7*w**2.
-4*(w - 98)**2*(7*w + 9)/7
What is o in -20352*o**2 - 105*o - 22*o**4 + 40723*o**2 + 105*o**3 + 25*o**4 - 19786*o**2 - 588 = 0?
-28, -7, -1, 1
Let r be -1 - 6/(-2) - (2 + -10). Let o be (-6 - -7)/(-2 - (-22)/r). Let n**o - 6*n**4 + n**4 + 7*n**4 - 3*n**3 - 4*n**2 + 4*n = 0. Calculate n.
-2, 0, 1
Suppose 5*l = 5*z - 480, 4*l + 70 = 2*z - 130. Suppose z - 62 = 10*s. Determine k so that -24/5*k + 9*k**2 - 5*k**s + 4/5 = 0.
2/5, 1
What is u in 245 - 4352 + 1591*u - u**5 + 77*u**4 - 1261*u**3 + 2180*u**2 - 329*u**3 + 1850*u**2 = 0?
-1, 1, 3, 37
Suppose 0 = -4*i - 4*m + 24, -i = 2*i - 2*m - 18. Factor 23*h**4 - i*h**3 - 8*h**2 + 23*h**4 - h**3 - 45*h**4.
h**2*(h - 8)*(h + 1)
Let z(b) = -2*b**2 - 700*b - 1552. Let i(p) = -p**2 - 233*p - 522. Let o(t) = -8*i(t) + 3*z(t). Factor o(j).
2*(j - 120)*(j + 2)
Factor -2/5*l**3 + 4/5*l**2 + 14*l + 0.
-2*l*(l - 7)*(l + 5)/5
Solve 1458 + 26893/2*q**2 - 8802*q - 489*q**3 + 9/2*q**4 = 0 for q.
1/3, 54
Let y(a) = 41*a**3 - 6940*a**2 + 148213*a + 33298. Let b(p) = -12*p**3 + 2313*p**2 - 49404*p - 11100. Let w(k) = 8*b(k) + 3*y(k). What is h in w(h) = 0?
-2/9, 43
Solve -3065/2*v**2 - 225 + 345/2*v**3 + 2535/2*v + 10*v**5 + 615/2*v**4 = 0 for v.
-30, -3, 1/4, 1
Let y(h) = 80*h + 46. Let t be y(11). Let g = 6490/7 - t. Factor 8/7*q**3 - 2/7 + g*q - 2/7*q**4 - 12/7*q**2.
-2*(q - 1)**4/7
Let y(d) = 3*d**3 + 5*d**2 - 10*d - 24. Let f be y(-2). Let n be 6/36*-16*12/f. Factor -3*h + 3/2*h**2 + 3*h**3 + 0 - 3/2*h**n.
-3*h*(h - 2)*(h - 1)*(h + 1)/2
Let y = -13862 - -13982. Let i(w) be the third derivative of -5*w**4 + y*w**3 + 0*w + 0 + w**2 + 1/12*w**5. Factor i(p).
5*(p - 12)**2
Let i(r) be the thir