5/45 - 178*x**4/9 + 352*x**3/9 + 49*x**2 + 3*x. Determine r so that q(r) = 0.
2, 44
Let m = 73971 + -73966. Factor 16/13*k**2 - 14/13*k + 4/13 - 4/13*k**4 + 2/13*k**m - 4/13*k**3.
2*(k - 1)**4*(k + 2)/13
Let a(l) = -l**2 + 2*l - 9. Suppose -j = j - 4, -j = -4*g + 14. Let c(n) = n**2 - 2*n + 19. Let w(z) = g*c(z) + 9*a(z). Factor w(h).
-5*(h - 1)**2
Factor -48/7 + 134/7*h**2 - 1604/7*h.
2*(h - 12)*(67*h + 2)/7
Suppose 8*c = 34 + 126. Let x(z) = z**3 - 21*z**2 + 17*z + 62. Let s be x(c). Suppose -2/9*j**s + 4/9 - 2/9*j = 0. What is j?
-2, 1
Let f(z) be the second derivative of -z**7/210 - z**6/45 + z**5/2 + 181*z**3/6 - 2*z + 29. Let t(n) be the second derivative of f(n). Factor t(p).
-4*p*(p - 3)*(p + 5)
Let t(p) be the third derivative of 2/9*p**3 - p + 2/45*p**5 + 1/180*p**6 + 5/36*p**4 + 0 - p**2. Factor t(z).
2*(z + 1)**2*(z + 2)/3
Let o(r) be the third derivative of -r**7/735 + 11*r**6/140 - 81*r**5/70 + 225*r**4/28 - 216*r**3/7 - 2*r**2 - 26*r. Factor o(k).
-2*(k - 24)*(k - 3)**3/7
Factor -1/2*m**3 - 2904 + 16*m**2 + 22*m.
-(m - 22)**2*(m + 12)/2
Let t(h) be the first derivative of -h**3/5 + 81*h**2/10 - 378*h/5 + 2535. Find n such that t(n) = 0.
6, 21
Find b such that 2/3*b**5 + 0 - 20*b**2 + 15/2*b**4 - 6*b + 107/6*b**3 = 0.
-6, -1/4, 0, 1
Suppose 37*k - 34*k = 4*r + 1, 0 = -5*r - 4*k + 22. Let i(q) be the first derivative of 11 + 1/5*q**5 + 1/3*q**3 + 1/2*q**4 + 0*q**r + 0*q. Factor i(h).
h**2*(h + 1)**2
Let k be ((59682/441)/203)/(14/6). Factor -6/7*w**2 + 0 + k*w**3 + 0*w.
2*w**2*(w - 3)/7
Suppose -2376 = 4*w - 2*j, -21*j + 26*j - 1180 = 2*w. Let p = w + 1787/3. Solve -p + 1/3*g + g**2 = 0.
-1, 2/3
Factor 2/3*f**2 - 118 + 112/3*f.
2*(f - 3)*(f + 59)/3
Let w(v) = 2*v + 2. Let c be w(0). Suppose -z = z - 2*b, c*b = 4*z - 8. Factor -4/5*j**z + 8/5*j + 0*j**2 - 8/5*j**3 + 4/5.
-4*(j - 1)*(j + 1)**3/5
Let n be ((-34)/2 + 8174/402)/(4/9). Factor -11*h**2 + n*h - 5/2*h**3 + 0.
-h*(h + 5)*(5*h - 3)/2
Suppose -230*l - 1410 + 5/6*l**2 = 0. What is l?
-6, 282
Let s(k) = -5*k**2 + 5815*k - 6035. Let v(b) = 3*b**2 - 2907*b + 2994. Let j(g) = -2*s(g) - 5*v(g). Determine z, given that j(z) = 0.
1, 580
Let h(k) be the third derivative of k**7/315 - k**6/60 - 11*k**5/45 + 2*k**4/3 - 1112*k**2. Factor h(t).
2*t*(t - 6)*(t - 1)*(t + 4)/3
Suppose -107 = -11*a + 69. Let 24 - a*u**2 - 27*u**3 - 60 + 55*u**3 - 26*u**3 + 42*u = 0. What is u?
2, 3
Let n be (-7)/13*(-2 + 1)*(55 - 53). Factor -n - 12/13*f + 2/13*f**2.
2*(f - 7)*(f + 1)/13
Let t = 316272 + -2213903/7. Determine f, given that -4/7*f**3 + 48/7 + t*f**4 + 40/7*f - 13/7*f**2 = 0.
-3, -1, 4
Suppose -38 = 5*o - 4*h, -5*h + 56 + 12 = 4*o. Factor 2/13*d**o + 30/13 + 32/13*d.
2*(d + 1)*(d + 15)/13
Let t(f) be the third derivative of -f**6/75 + 92*f**5/25 + 37*f**4/4 + 139*f**3/15 - 101*f**2 - 9. What is c in t(c) = 0?
-1/2, 139
Let p = 4046195/7 + -578027. Find c such that 0 + 2/7*c**5 + 12/7*c + 2*c**2 - p*c**3 - 6/7*c**4 = 0.
-1, 0, 2, 3
Let y = -293 - -295. Suppose -y*r - 7 = -r + 5*g, 2*g + 4 = 0. Find v, given that 1/2*v + 0*v**2 + 0*v**4 + 0 - v**r + 1/2*v**5 = 0.
-1, 0, 1
Suppose 55*y - 48*y = -63. Let a be 5/45*y/(-3). What is h in -a*h**2 + 1/3 - 1/3*h**3 + 1/3*h = 0?
-1, 1
Let h = 1235/2606 + 34/1303. Find d, given that 11/2*d + 5 + h*d**2 = 0.
-10, -1
Let g(d) = -d**2 - d - 1. Let w(x) = -26*x**2 - 63*x - 28. Let h(b) = 6*g(b) + w(b). Let q(r) = r**2 - 1. Let j(c) = -h(c) - 2*q(c). Let j(n) = 0. Calculate n.
-3/2, -4/5
Suppose -75/2*i + 33/2*i**4 + 3*i**2 + 39*i**3 - 3/2*i**5 - 39/2 = 0. What is i?
-1, 1, 13
Suppose -135 = -9981*r + 9954*r. Let j**4 + 0 + 5/7*j**2 - 1/7*j**r - 11/7*j**3 + 0*j = 0. What is j?
0, 1, 5
Suppose 19*y - 30 = -5*k + 14*y, -4*y = -5*k + 75. Suppose -4*c = -k - 1. Factor -5/3*x**c - 7/3*x + 1/3*x**4 + 3*x**2 + 2/3.
(x - 2)*(x - 1)**3/3
Let c(r) be the first derivative of -5*r**4/2 - 125*r**3/3 - 130*r**2 - 100*r - 781. Factor c(a).
-5*(a + 2)*(a + 10)*(2*a + 1)
Let w(s) be the second derivative of -s**6/120 + 7*s**5/5 + 12*s - 29. Factor w(c).
-c**3*(c - 112)/4
Let c(s) = -s**2 - 26*s + 58. Let a(m) = m**3 - 13*m**2 - 12*m + 128. Let y be a(13). Let n be c(y). Suppose -1/6*z**n + z - 4/3 = 0. Calculate z.
2, 4
Let l = -30 + 36. Let q(j) be the first derivative of -23*j**4 - l + 24*j**4 + 4 - 8. Find r such that q(r) = 0.
0
Let d = 9942 - 89462/9. Factor -2/9*h**5 + 0*h + 0*h**2 + 14/9*h**4 + d*h**3 + 0.
-2*h**3*(h - 8)*(h + 1)/9
Let v = 691 - 682. Factor -v*t**3 + 8*t + 16*t**2 - 15*t**2 + 7*t**3 + 6*t**3 - 13*t**2.
4*t*(t - 2)*(t - 1)
Let d = 20139 + -60392/3. Let y(x) = -3*x + 58. Let j be y(16). Suppose d*l**2 + 25/3*l + 5/3*l**4 - 25/3*l**3 - j = 0. What is l?
-1, 1, 2, 3
Let i(d) be the third derivative of d**7/2205 + 5*d**6/252 + 83*d**5/630 - 25*d**4/252 - 4*d**3/3 + 13*d**2 + 36*d + 1. Solve i(g) = 0.
-21, -4, -1, 1
Let k(a) be the second derivative of -10*a - 8/27*a**4 + 0*a**2 + 0*a**3 - 3 - 1/90*a**5. What is g in k(g) = 0?
-16, 0
Let g = 279598 + -279596. Find z such that 0 - 3/5*z - 3/5*z**4 - 9/5*z**3 - 9/5*z**g = 0.
-1, 0
Determine i so that 1848*i + 4169318 - 4169318 - 3*i**2 + 6*i**2 = 0.
-616, 0
Suppose 8*t - 11*t + 17 = 2*y, -4*y = -3*t - 7. Find g such that -40 + 42 - 4*g**3 + 2 - y*g**2 + 4*g = 0.
-1, 1
Determine s so that 4/5*s**3 - 2/5*s**5 + 1174/5 - 2348/5*s**2 + 1174/5*s**4 - 2/5*s = 0.
-1, 1, 587
Factor 1/3*c**4 + 13/3*c**2 - 6 + 7/3*c**3 - c.
(c - 1)*(c + 2)*(c + 3)**2/3
Let j = -22499 + 22499. Factor j*k - 2/5*k**4 + 0*k**2 + 0 + 6/5*k**3.
-2*k**3*(k - 3)/5
Let o(s) = -13*s**2 - s + 1. Let r(c) = -53*c**2 - 9*c. Let p(q) = -4*o(q) + r(q). What is b in p(b) = 0?
-4, -1
Suppose -94*a + 392 = -78. Suppose 4*c - 4 = 4*y, -a*c - y = -4*c - 5. Solve 6/5*s**4 + 0*s - 2/5*s**5 - 14/5*s**2 + 8/5 + 2/5*s**c = 0 for s.
-1, 1, 2
Factor 1/2*b**2 - 32*b + 350.
(b - 50)*(b - 14)/2
Let l = 447/4 + -6701/60. Let y(x) be the first derivative of -13 + 2/15*x**3 + 1/10*x**4 + 0*x**2 + 0*x - l*x**6 - 2/25*x**5. Factor y(g).
-2*g**2*(g - 1)*(g + 1)**2/5
Let j(b) be the first derivative of b + 21/4*b**2 - 21/8*b**4 - 135 - 1/3*b**3. Determine w, given that j(w) = 0.
-1, -2/21, 1
Let m(d) = -4*d**2 - 28*d + 24. Let h(s) = 66*s + 84*s + 17*s**2 - 96 - 35*s. Let q(a) = 4*h(a) + 18*m(a). Let q(v) = 0. Calculate v.
-12, 1
Let m be 16/(-160)*38*(-4)/((-32)/(-50)). Let a(b) be the first derivative of 6*b**5 + 0*b + 95/3*b**3 + 15*b**2 - 27 + m*b**4. Suppose a(u) = 0. Calculate u.
-3/2, -1, -2/3, 0
Let c = 88177 + -88175. Factor 2/7*r**3 + 2*r + 10/7*r**c + 6/7.
2*(r + 1)**2*(r + 3)/7
Let x(b) = 3*b**2 - 122*b + 720. Let r(t) = -680 - 4*t**2 + 245*t - 2*t**2 + t**2 - 760. Let z(d) = 2*r(d) + 5*x(d). Determine q, given that z(q) = 0.
12
Factor 5*o**3 - 408*o + 5*o**3 + 13882*o**2 - 13208*o**2.
2*o*(o + 68)*(5*o - 3)
Let l(s) = 2*s**2 - 2*s - 1. Let m(a) be the first derivative of 7*a**3/3 + 91*a**2 + 2881*a + 239. Let v(c) = 2*l(c) - m(c). Let v(t) = 0. What is t?
-31
Find r, given that 36 - 7/4*r**2 + 137/4*r = 0.
-1, 144/7
Suppose 4*g - 55 = -5*h, 5*g - 25*h + 20*h - 35 = 0. Let k be g - (10 + 12/(-4)). Determine s so that -8*s + 4/3 + 28/3*s**2 - 32/3*s**4 + 8*s**k = 0.
-1, 1/4, 1/2, 1
Let n be 125/50*(-4)/10. Let z(o) = 4*o**2 + 14*o - 3. Let r(a) = -a**2 + 1. Let u(y) = n*z(y) - 3*r(y). Factor u(q).
-q*(q + 14)
Let s = 9114 + -9112. Let g(n) be the second derivative of -10/3*n**3 - 29*n + 0 + 8*n**s - 19/3*n**4 - 7/5*n**5 + 2/5*n**6. Determine b, given that g(b) = 0.
-1, 1/3, 4
Factor 5*u**2 + 2909 + 47194*u - 46899*u + 661.
5*(u + 17)*(u + 42)
Factor 136*o + 37356 + 4*o**2 - 18681 - 18675.
4*o*(o + 34)
Factor 0 + 0*y - 35/4*y**2 - 1/4*y**3.
-y**2*(y + 35)/4
Let q = -165/448 + -1716359/2240. Let x = q + 767. Let -4/5*v + 2/5*v**3 + x*v**2 + 0 = 0. Calculate v.
-2, 0, 1
Let d be (-28112)/12299 + 51/7. Factor 48/7*l + 27/7*l**d - 16/7 - 8/7*l**2 + 27/7*l**4 - 72/7*l**3.
(l + 1)*(l + 2)*(3*l - 2)**3/7
Let m(a) = -25*a**5 + 45*a**4 + 80*a**3 - 55*a + 15. Let k = -280 + 310. Let s(f) = f**4 + f**3 + f**2 - f. Let h(z) = k*s(z) - m(z). Solve h(i) = 0 for i.
-1, 3/5, 1
Let k be (-64)/24*90/4. Let v be (-195)/k - (-1)/(-4). Let 0*j**4 + 0*j**2 + 0 + 3/5*j**5 - 6/5*j**v + 3/5*j = 0. Calculate j.
-1, 0, 1
Let o(c) = 6*c**3 - 30*c**2 + 10*c + 62. Let w(f) = 2*f**3 - 10*f*