 36*q**2 - 8.
-4*(q - 2)*(q - 1)**3
Let p(l) be the second derivative of 2*l**6/45 + 14*l**5 + 11233*l**4/9 + 14560*l**3/3 + 21632*l**2/3 - 2*l + 2394. Factor p(z).
4*(z + 1)**2*(z + 104)**2/3
Suppose 16*u + 969 = 33*u. Suppose 5*s - u + 17 = 0. What is d in -2/5*d**5 - 4*d**2 - s*d**3 - 16/5*d**4 + 42/5*d + 36/5 = 0?
-3, -2, -1, 1
Let u(r) be the first derivative of 7/13*r**2 - 1/26*r**4 - 4/39*r**3 - 8/13*r + 33. Factor u(w).
-2*(w - 1)**2*(w + 4)/13
Let s(m) = 4*m - 38. Let a be (175/14)/(-1)*8/(-10). Let b be s(a). What is v in 27*v**3 - 45*v - 30*v**b + 31*v**4 + 4*v**5 + v**5 - v**4 + 13*v**3 = 0?
-3, -1, 0, 1
Let k(m) be the second derivative of -m**8/1092 + m**7/455 - m**6/780 - 8*m**2 - m + 12. Let c(v) be the first derivative of k(v). Solve c(w) = 0 for w.
0, 1/2, 1
Suppose -690*b - 48*b**4 + 1122*b - 576*b**2 + 18*b**5 - 15*b**5 + 264*b**3 = 0. Calculate b.
0, 2, 6
Let s = 45576/5 + -9115. Let y be -1 - -8 - (2 + 0). Factor 2/5*v**2 - s*v - 1/5*v**y + 2/5*v**3 - 1/5*v**4 - 1/5.
-(v - 1)**2*(v + 1)**3/5
Let q(w) be the third derivative of 0 - 35/6*w**3 + 5/24*w**4 + 7/12*w**5 - 1/24*w**6 + 0*w - 274*w**2. Factor q(y).
-5*(y - 7)*(y - 1)*(y + 1)
Let i = -399 - -401. Determine z so that -20*z**2 + 72*z**i - 24*z**2 - 24*z**2 - 6 - 14 - 16*z = 0.
-1, 5
Let z be (1 - 37) + 1*4. Let i = 53 + z. Determine x, given that -4*x**2 - 16*x + i*x - 5*x**3 + x**2 - 2*x**2 + 5 = 0.
-1, 1
Let z be (136/272)/(2/(-132) + 4/22). Suppose 13/2*p**z + 0 - 3*p**4 + 2*p + 1/2*p**5 - 6*p**2 = 0. What is p?
0, 1, 2
Let y be 680/294 + (-4344)/(-212856). Factor 2/3*z**2 - 1/3*z**3 + 4/3 + y*z.
-(z - 4)*(z + 1)**2/3
Let w(q) be the third derivative of -q**9/3780 - q**8/210 - q**7/42 + 19*q**3/6 - 25*q**2 - q. Let m(c) be the first derivative of w(c). Factor m(s).
-4*s**3*(s + 5)**2/5
Let i(j) = 62*j**2 + 18*j - 37. Let z be i(4). Let u = z + -1024. Suppose 16/7*x + 20/7*x**u + 32/7*x**2 + 4/7*x**4 + 0 = 0. What is x?
-2, -1, 0
Let w(p) be the second derivative of -p**4/96 + 155*p**3/24 + 311*p**2/16 + 1018*p. Factor w(j).
-(j - 311)*(j + 1)/8
Factor 1385*q - 650*q - q**2 + 730*q + 827*q - 1313316.
-(q - 1146)**2
Let f be 35*(-13)/(-65) + (-184)/16 + 5. Factor 1/6*w**2 - f*w + 0.
w*(w - 3)/6
Suppose 3*h + m - 1 = 0, 18*m = 13*h + 13*m + 5. Find p such that 6/7*p**2 + 3/7*p**3 - 9/7*p + h = 0.
-3, 0, 1
Let q(g) be the third derivative of -g**5/5 - 10*g**4/3 + 14*g**3/3 + 430*g**2. Let q(s) = 0. Calculate s.
-7, 1/3
Let q = 604/11 - 9499/176. Let o = q - 7/16. Factor o + 1/2*i**2 - i.
(i - 1)**2/2
Suppose 0 = c - 1295 + 187. Let x = c - 7741/7. Find p such that -x*p**2 - 3/7*p**4 + 0 - 6/7*p - 12/7*p**3 = 0.
-2, -1, 0
Suppose -119/2*k**2 + 0 + 0*k - 1/2*k**3 = 0. Calculate k.
-119, 0
Let c = 2937 - 2935. Let h(y) be the first derivative of 28/3*y**3 - 30*y**c + 36*y - y**4 - 13. Suppose h(g) = 0. What is g?
1, 3
Let s(l) be the second derivative of 1/6*l**6 + 0 + 0*l**2 + 10/3*l**3 - 35/12*l**4 - 5*l + 1/2*l**5. Factor s(n).
5*n*(n - 1)**2*(n + 4)
Let t = -1522672/11 + 138426. Suppose -12/11*f**2 - 64/11*f + t*f**3 + 64/11 - 2/11*f**4 = 0. What is f?
-2, 1, 4
Suppose -4*h + o = -4*o - 22, 0 = h + 5*o + 7. Suppose -14 = -h*p + 3*b - b, p - b = 6. Factor 4*r**4 - 3*r**2 - p*r - 3*r**4 + 0*r.
r*(r - 2)*(r + 1)**2
Let i(z) be the second derivative of -15*z + 0*z**2 + 0*z**3 + 1/126*z**7 - 1/12*z**4 - 1/60*z**5 + 0 + 1/30*z**6. Factor i(c).
c**2*(c - 1)*(c + 1)*(c + 3)/3
Let i be 9976/(-258) + (-3 - -42). Factor i*v**3 + 0*v + 0 - 1/3*v**2 + 1/3*v**4 - 1/3*v**5.
-v**2*(v - 1)**2*(v + 1)/3
Let j be (0 - 33/374)*1/(-3). Let i(q) be the first derivative of -j*q**4 - 2/17*q**3 - 21 + 9/17*q**2 + 54/17*q. Solve i(t) = 0.
-3, 3
Let n(k) = k**2 + 3*k + 11. Let c(p) = -6*p**2 - 154*p + 284. Let m(s) = c(s) + 8*n(s). Determine d so that m(d) = 0.
3, 62
Let h(w) be the third derivative of 0*w**6 + 1/35*w**5 + 1/21*w**4 + 0*w**3 - 13*w**2 + 0*w + 0 - 2/735*w**7. Factor h(k).
-4*k*(k - 2)*(k + 1)**2/7
Let z be ((-2)/21)/(2740/(-210) - -13). Let v(l) be the first derivative of 11 - 4/3*l**z + 0*l - 4/9*l**3 + l**4. Factor v(n).
4*n*(n - 1)*(3*n + 2)/3
Let m(p) = -9*p**4 - 215*p**3 + 216*p**2 + 147*p - 275. Let g(s) = -3*s**4 - 72*s**3 + 72*s**2 + 48*s - 93. Let i(r) = 17*g(r) - 6*m(r). Solve i(l) = 0 for l.
-23, -1, 1
Let v(p) = -p**4 + p**3 - 2. Let g(b) = -2*b**4 + 65*b**3 + 820*b**2 - 4686*b - 5451. Let z(u) = -2*g(u) + 6*v(u). Factor z(a).
-2*(a - 5)*(a + 1)*(a + 33)**2
Let p(o) = -12*o**4 + 26*o**3 + 173*o**2 + 211*o. Let j(g) = 7*g**4 - 13*g**3 - 87*g**2 - 105*g. Let a(i) = 10*j(i) + 6*p(i). Factor a(k).
-2*k*(k - 18)*(k + 2)*(k + 3)
Let u(f) = -12*f**3 + 223*f**2 + 468*f + 212. Let r(v) = -4*v**3 + 74*v**2 + 156*v + 72. Let p(k) = 7*r(k) - 2*u(k). Solve p(c) = 0 for c.
-1, 20
Let t = 4 - 2. Let r = -300 - -314. Find w, given that -18 - 14*w + r + 16 - 6*w**t = 0.
-3, 2/3
Suppose -5*h - 2*u = -8*h + 16, 23 = 4*h - 3*u. Suppose -h*x + 55 = -529. Find n, given that 0*n**5 + 12*n**4 + x - 292 - 3*n**5 + 12*n**2 - 18*n**3 - 3*n = 0.
0, 1
Let v(b) = -2*b**3 - 17*b**2 + 30*b + 5. Let q be v(-10). Let r be 1*-2 - 1518/(-198) - q. Let -16/15 - r*p**3 - 56/15*p - 44/15*p**2 = 0. What is p?
-2, -2/5
Let k = 551/2 + -235. Let v be (-162)/(-8)*36*(-3)/(-18). Suppose -k*o - v - 9/2*o**2 - 1/6*o**3 = 0. Calculate o.
-9
Let l = 295 - 293. Factor -6*d**2 - 116*d + 4*d**2 + 39 + d**l - 2*d**2 + 0*d**2.
-(d + 39)*(3*d - 1)
Determine v so that -292/3*v - 1/3*v**2 - 21316/3 = 0.
-146
Factor 1224*g**2 - 374544*g + 38203488 - 4/3*g**3.
-4*(g - 306)**3/3
Let u = 342 - 292. Determine f so that -84 - 3*f**2 - u*f - 216 - 10*f = 0.
-10
What is r in 12*r**2 + 0 + 1/2*r**3 + 23/2*r = 0?
-23, -1, 0
Determine b, given that -15*b - b - 39*b + 148*b**2 - 288*b**2 - 5*b**3 - 25 + 105*b**2 = 0.
-5, -1
Let b(d) = 7*d**2 - 242*d + 211. Let w(u) = 15*u**2 - 484*u + 417. Let x(t) = 13*b(t) - 6*w(t). Factor x(c).
(c - 241)*(c - 1)
Let n be -21 - (-805)/(-280)*-8. Factor 1/7*p**n + 10/7*p + 25/7.
(p + 5)**2/7
Let a(d) be the second derivative of -25*d - 3/8*d**2 + 5/16*d**3 + 0 - 1/8*d**4 + 3/160*d**5. Solve a(f) = 0.
1, 2
Let b(l) be the third derivative of -1/150*l**5 - 202*l**2 + 1/300*l**6 + 0 - 8/15*l**3 + 0*l - 1/6*l**4. Solve b(q) = 0.
-2, -1, 4
Let b be 4727 + -4789 - 446/(-7). Find z such that 4/7*z**4 + 20/7*z**3 + 0 - 4/7*z**5 + b*z**2 + 0*z = 0.
-1, 0, 3
Let y(k) be the first derivative of -45/2*k**2 - 5/3*k**3 - 90*k + 38. Let y(x) = 0. What is x?
-6, -3
Let d = 37091 - 259629/7. Factor 4/7*u**4 - 16/7*u**3 - d*u + 0 + 20/7*u**2.
4*u*(u - 2)*(u - 1)**2/7
Factor -138*q + 810 + 1/2*q**2.
(q - 270)*(q - 6)/2
Let l(z) be the third derivative of -23/320*z**6 + 5/32*z**5 + 0*z - 1/4*z**3 + 11/16*z**4 - 95*z**2 - 1. Find y, given that l(y) = 0.
-1, 2/23, 2
Factor 4207 + 31*u**2 - 36*u**2 - 2710*u + 1193 + 10*u**2.
5*(u - 540)*(u - 2)
Let f = -444682 + 4002146/9. Suppose 0 - f*i**3 - 2/9*i**4 + 2/9*i**2 + 8/9*i = 0. Calculate i.
-4, -1, 0, 1
Solve -551109*m + 1388 + 3*m**2 + 691 + 550407*m = 0 for m.
3, 231
Let d(b) be the third derivative of -b**6/660 - 116*b**5/165 - 115*b**4/33 - 34*b**2 + 2*b + 31. Determine c so that d(c) = 0.
-230, -2, 0
Suppose -2*p - 2*p + 4*q + 120 = 0, -3*p + 86 = q. Suppose 0*k - p = -5*l - 2*k, 5*k = 10. Factor l*o**2 + 147*o - 83*o - 74*o + 5.
5*(o - 1)**2
Let i(t) = -t**3 - 10*t**2 + 4193*t + 33677. Let g be i(-8). Determine y so that -2/3*y**4 - 1/3*y**3 + 1/3*y**g + 0*y + 0 + 2/3*y**2 = 0.
-1, 0, 1, 2
Let -280/11*j + 30*j**3 - 1934/11*j**2 + 24/11 = 0. What is j?
-1/5, 2/33, 6
Let m(s) be the second derivative of -s**4/28 - 4*s**3/7 - 18*s**2/7 - 1407*s. Factor m(z).
-3*(z + 2)*(z + 6)/7
Suppose -17*u - 33*u + 190 = -510. Let g(v) be the second derivative of 3/40*v**5 + 0*v**2 + 1/40*v**6 - u*v - 1/16*v**4 - 1/4*v**3 + 0. Factor g(h).
3*h*(h - 1)*(h + 1)*(h + 2)/4
Let y = 23/1530 - -73/170. Let -y*p**2 + 2/9*p + 4/9 - 2/9*p**3 = 0. What is p?
-2, -1, 1
Let i be ((-5)/(-60) + 4/1 + -4)/2. Let t(k) be the third derivative of 0 - i*k**6 + 0*k + 0*k**3 + 14*k**2 - 5/6*k**4 - 1/3*k**5. Solve t(b) = 0.
-2, 0
Let f(b) be the first derivative of -b**6/2 + 51*b**5/5 - 81*b**4/4 - 49*b**3 + 84*b**2 + 180*b + 813. What is o in f(o) = 0?
-1, 2, 15
Let -1/5*k**2 - 34/5*k - 168/5 = 0. Wh