) = 4*q(h) + 5*u(h). Factor i(b).
2*(b - 11)*(b - 5)
Let r = -74661 - -149323/2. Find z such that 5/2*z**3 + 0 + 4*z**2 + 2*z + r*z**4 = 0.
-2, -1, 0
Let u be (-50716)/210 - (-56)/(-588). Let g = u - -242. What is t in g - 4/5*t + 2/5*t**2 = 0?
1
Let t(f) be the first derivative of 8/3*f**3 + 6/5*f**5 + 0*f - 60 - 5*f**4 + 8*f**2. Suppose t(h) = 0. Calculate h.
-2/3, 0, 2
Suppose 3*a - 2 - 1 = 0. Let t be 1 + -3 + a + 3. Factor 3 + 5*m**2 - t + 4 + 10*m.
5*(m + 1)**2
Factor -1185921/5*o - 3267/5*o**2 - 3/5*o**3 - 143496441/5.
-3*(o + 363)**3/5
Let y(u) be the first derivative of 3*u**4/4 + 35*u**3 + 426*u**2 - 960*u - 11678. Factor y(r).
3*(r - 1)*(r + 16)*(r + 20)
Let b(x) be the second derivative of 1/80*x**5 - 1/2*x**3 - 18*x**2 + 2*x + 1/6*x**4 + 10. Factor b(k).
(k - 4)*(k + 6)**2/4
Let m(x) = -10*x**2 + 560*x - 1165. Let q(z) = 13*z**2 - 558*z + 1166. Let s(n) = -6*m(n) - 5*q(n). Suppose s(l) = 0. Calculate l.
-116, 2
Suppose 36 + 2/3*t**4 - 326/3*t + 110*t**2 - 38*t**3 = 0. Calculate t.
1, 54
Let r(t) = 35*t**2 + 910*t - 127. Let h(d) = -71*d**2 - 1826*d + 259. Let z(m) = 3*h(m) + 7*r(m). Find i, given that z(i) = 0.
-28, 1/8
Let a(b) be the second derivative of -1/105*b**6 + 16*b + 0 - 5/14*b**4 + 0*b**2 - 3/7*b**3 - 1/10*b**5. Factor a(k).
-2*k*(k + 1)*(k + 3)**2/7
Let p = -148 + 156. Let -17*z + p*z + 5*z**2 + 11*z + 1 - 4*z**2 = 0. What is z?
-1
Factor -13/4*q**2 - 33/4*q + 45/4 + 1/4*q**3.
(q - 15)*(q - 1)*(q + 3)/4
Let h(b) be the second derivative of -b**7/336 - 7*b**6/120 - 13*b**5/32 - 31*b**4/24 - 7*b**3/4 - 305*b + 2. Solve h(i) = 0.
-7, -3, -2, 0
Let t = 3 + 1. Suppose 81*l**5 - 50*l**5 + 3*l**t + 2*l**3 - 28*l**5 - 5*l**3 - 3*l**2 = 0. Calculate l.
-1, 0, 1
Let p(h) = -304*h**2 - 189*h - 707. Let n(k) = -204*k**2 - 190*k - 706. Let b(r) = 3*n(r) - 2*p(r). Determine o, given that b(o) = 0.
-44, -4
Let f(t) be the second derivative of t**7/12600 + t**6/1800 + t**5/600 - t**4/4 + 3*t**2 + 2*t - 20. Let k(p) be the third derivative of f(p). Factor k(v).
(v + 1)**2/5
Let a(m) = -m**3 + 59*m**2 - 203*m + 9. Let j be a(55). Let q be -3 + j/210 + (-60)/140. Find v, given that -46/15*v**3 - 4/3*v**2 + 0 - 2/3*v**4 + q*v = 0.
-4, -1, 0, 2/5
Let i(m) be the second derivative of 5*m**4/84 - 69*m**3/14 - 9*m**2 + 208*m. Factor i(n).
(n - 42)*(5*n + 3)/7
Let j be 36740/10020 + (10/(-6) - -2). Factor q**2 + 0 - 1/2*q**j + 0*q - 1/2*q**3.
-q**2*(q - 1)*(q + 2)/2
Suppose 5*g = -w + 11, -g - 1 = -4*w + 1. Factor -1651*f**2 - 124*f + 1922 + 826*f**g + 827*f**2.
2*(f - 31)**2
Let k(j) be the third derivative of -j**5/270 - 95*j**4/108 + 44*j**3/3 + 2044*j**2. Suppose k(t) = 0. What is t?
-99, 4
Suppose 45*g = -27293 - 1732. Let c = -645 - g. Factor c + 3*k**2 + 0*k - 14/3*k**4 + 11/2*k**3 + 5/6*k**5.
k**2*(k - 3)**2*(5*k + 2)/6
Suppose 0 = -4*p - 4 + 80. Suppose -5*j - h = -2*h - p, -3*j - 3*h + 15 = 0. Factor -6*v**3 + 8*v - 5*v + 3*v**j - 1 + 3*v - 2.
3*(v - 1)**3*(v + 1)
Let o(z) = z**2 - z - 8. Let w be o(4). Factor 2*g**5 + 345*g**3 + 0*g**4 - 341*g**3 - 6*g**w.
2*g**3*(g - 2)*(g - 1)
Let l(g) be the first derivative of -12*g + 2/5*g**5 + 72 + 3/2*g**4 - 11*g**2 - 2*g**3. Factor l(w).
2*(w - 2)*(w + 1)**2*(w + 3)
Let q = 5 - 751. Let k = 748 + q. Suppose 0*i - 4/7*i**3 + 2/7*i**4 + 0*i**k + 0 = 0. Calculate i.
0, 2
Let m(q) be the first derivative of 4/23*q**2 + 0*q + 0*q**3 - 44 - 1/46*q**4. Let m(s) = 0. What is s?
-2, 0, 2
Let l(p) be the first derivative of -33/16*p**2 + 40 - 9/2*p + 1/8*p**3. Suppose l(b) = 0. Calculate b.
-1, 12
Let b(v) be the first derivative of -v**6/225 + 43*v**5/300 + 11*v**4/60 + 62*v**3/3 + 62. Let r(c) be the third derivative of b(c). Factor r(z).
-2*(z - 11)*(4*z + 1)/5
Let r be (-1983)/(-1322)*8/3. What is z in -45/7*z**2 + 54/7*z - 9/7*z**r + 0 - 48/7*z**3 = 0?
-3, 0, 2/3
Factor -194/9 - 2/9*v**3 - 130/3*v - 22*v**2.
-2*(v + 1)**2*(v + 97)/9
Factor -1017/5*p**2 + 3/5*p**3 - 85683/5 + 86697/5*p.
3*(p - 169)**2*(p - 1)/5
Find m such that 527/6 + 351/4*m - 1/12*m**2 = 0.
-1, 1054
Suppose -4/5*s**2 - 260 - 152/5*s = 0. What is s?
-25, -13
Let c(d) be the first derivative of 0*d + 7/300*d**5 + 13 - 13/3*d**3 + 0*d**4 + 0*d**2 - 1/900*d**6. Let w(m) be the third derivative of c(m). Factor w(l).
-2*l*(l - 7)/5
Let i(c) be the first derivative of c**6/42 - 4*c**5/35 + c**4/28 + 10*c**3/21 - 2*c**2/7 - 8*c/7 + 3054. Factor i(p).
(p - 2)**3*(p + 1)**2/7
Let f(o) = o**2 - o - 7. Let d be f(-2). Let t(m) = -6*m**3 - m**2 - 6*m - 5. Let c be t(d). Factor z + 4 + z - 4*z**2 + 3*z**3 + z**3 - c*z**3.
-2*(z - 1)*(z + 1)*(z + 2)
Let b(w) = 28*w + 102. Let c(m) = 57*m + 205. Let x(g) = 9*b(g) - 4*c(g). Let v be x(-4). Factor -1 - 23/4*d**v - 5*d - 7/4*d**3.
-(d + 1)*(d + 2)*(7*d + 2)/4
Let u(s) be the second derivative of -s**5/10 - 83*s**4/6 - 560*s**3 + 1764*s**2 + 639*s. Factor u(k).
-2*(k - 1)*(k + 42)**2
Determine k, given that 2531281/10 + 1/10*k**2 + 1591/5*k = 0.
-1591
Find k such that -3 + 100*k + 15*k**4 - 3*k**4 - 7*k**4 + 35*k**3 + 3 - 140*k**2 = 0.
-10, 0, 1, 2
Let y(z) be the first derivative of -3/70*z**5 + 5*z - 1 - 17/7*z**3 + 24/7*z**2 + 5/7*z**4. Let b(f) be the first derivative of y(f). Factor b(c).
-6*(c - 8)*(c - 1)**2/7
Let o(g) be the third derivative of 0*g - 9/2*g**3 + 0 - 19*g**2 - 1/180*g**6 - 1/6*g**4 - 1/20*g**5. Let v(p) be the first derivative of o(p). Factor v(w).
-2*(w + 1)*(w + 2)
Let g = 3037/1899 - -7/9495. Let -1/5*n**2 - 7/5 - g*n = 0. Calculate n.
-7, -1
Let t(y) be the second derivative of y**7/2940 + y**6/252 + y**5/105 - 17*y**3/2 - 57*y. Let x(b) be the second derivative of t(b). Find l such that x(l) = 0.
-4, -1, 0
Let q = -1256595 - -1256607. Find i, given that 0*i + 0 - 3/8*i**3 - q*i**2 = 0.
-32, 0
Suppose 68 = k - 4*j, -160*k - 2*j - 34 = -156*k. Factor k*d + 0 + 1/2*d**3 - 5/2*d**2.
d**2*(d - 5)/2
Suppose -t - 1 = 2*y, -3*t + 3 = -0. Let i be (-3 - -2)*10/30*y. Let 1/3 - i*f - f**2 + 5/3*f**3 - 2/3*f**4 = 0. Calculate f.
-1/2, 1
Let u(c) be the third derivative of -c**6/40 - 7*c**5/100 - c**4/20 + 77*c**2 - 69. Factor u(w).
-3*w*(w + 1)*(5*w + 2)/5
Factor 0*t + 0*t**3 + 1/2*t**4 + 0*t**2 - 1/2*t**5 + 0.
-t**4*(t - 1)/2
Determine u so that 1682/21*u**2 - 6/7*u**5 - 1040/21*u - 158/21*u**3 + 8 - 62/7*u**4 = 0.
-7, -6, 1/3, 2
Let p = 3982 + -3982. Let w(x) be the first derivative of -6*x + 1/2*x**3 + p*x**2 + 15. Factor w(v).
3*(v - 2)*(v + 2)/2
Let 465/7*p + 1320/7*p**4 + 78/7 + 60/7*p**2 - 1875/7*p**3 - 48/7*p**5 = 0. Calculate p.
-1/4, 1, 26
Let t(k) = 2*k**3 - k**2 - 2*k + 13. Let c(z) = 6*z**3 - 140*z**2 + 120*z + 842. Let g(u) = c(u) - 2*t(u). Find m, given that g(m) = 0.
-2, 3, 68
Factor -297/2 + 1191/4*v - 3/2*v**2.
-3*(v - 198)*(2*v - 1)/4
Let h = 226650/11623 - 3/23246. Let -3/2*n**3 + 15 + 3*n**2 + h*n = 0. What is n?
-2, -1, 5
Let g = 90 - 84. Suppose -4 - 12 - 4*x + 2216*x**2 - g*x - 2217*x**2 = 0. Calculate x.
-8, -2
Let x(a) be the third derivative of -a**8/420 - 652*a**7/525 - 6669*a**6/25 - 734832*a**5/25 - 15766083*a**4/10 - 57395628*a**3/5 - 4821*a**2. Factor x(y).
-4*(y + 2)*(y + 81)**4/5
Let k = 1589/50 + -782/25. Let i(t) be the first derivative of -3/2*t**2 + 3/5*t**5 + k*t**4 + 22 + 1/6*t**6 - t - 2/3*t**3. Determine h so that i(h) = 0.
-1, 1
Let h = -269714 + 269714. Find u such that h + 16/3*u**2 - 8/3*u**4 - 4*u**3 + 4/3*u**5 + 16/3*u = 0.
-1, 0, 2
Factor -442*d - 8*d**2 - 23694 - 10*d**2 + 72535 + 19*d**2.
(d - 221)**2
Let k be (-174)/(-5) - 306/(-255). Let a be 4/(-18) - (-8)/k. Factor a + 2/7*h**3 + 16/7*h**2 + 32/7*h.
2*h*(h + 4)**2/7
Let q be (-25300)/(-14) + (-5)/35. Let f = q + -5420/3. Factor 4/3 - 5/3*o + f*o**2.
(o - 4)*(o - 1)/3
Let m = 1487/203 + -200/29. Let g(v) be the second derivative of -1/70*v**6 - 18*v - 5/14*v**3 + 0 + 3/28*v**4 + 3/140*v**5 + m*v**2. Factor g(p).
-3*(p - 1)**3*(p + 2)/7
Let d = -95 - -99. Factor -2*t**2 + 2*t**3 - 18 - 10*t**2 + 47*t - 10*t - d*t - 5*t**3.
-3*(t - 1)**2*(t + 6)
Suppose 2*b + 9*b = 0. Suppose -14*z**2 + b*z**2 + 374*z - 2*z**4 - 80*z - 22*z**3 = 0. Calculate z.
-7, 0, 3
Let c(s) = -8*s**3 + 13*s**2 - 18*s. Let f(o) = 12*o**3 - 20*o**2 + 28*o. Let q(b) = 14*c(b) + 9*f(b). Suppose q(n) = 0. What is n?
0, 1/2
Suppose 0 = 22*h + 4*h + 1170. Let m be h/(-25) - 6/(-30). Factor 6/13*q**3 + 0 - 2/13*