+ 408 - 192*p**2 + 57*p**2 + 92*p + 84*p**2 = 0.
-17, -6
Let t be (-1672)/(-77) + 4/14. Suppose -35 = -5*r - 4*y + 5*y, -2*r = -4*y - 32. Factor -r + 6 - t*a**2 - 5*a**3 - 13*a**2 - 50*a.
-5*a*(a + 2)*(a + 5)
Let t be ((-756)/(-14175))/(7/70). Find q, given that -t + 14/15*q**2 + 2/5*q = 0.
-1, 4/7
Suppose -6*h = -5*n - 32, 1245*h + 28 = 1249*h - 5*n. What is t in -215/4 - 425/4*t + 5/4*t**3 - 205/4*t**h = 0?
-1, 43
Let l(i) = -i**3 - i. Let u(m) = 3*m**2 + 0*m**3 + 2241 + m**3 - 2247 - 6*m. Let x(c) = l(c) - u(c). Factor x(d).
-(d + 1)*(d + 2)*(2*d - 3)
Factor 2/13*k**3 + 562/13 + 558/13*k**2 - 1122/13*k.
2*(k - 1)**2*(k + 281)/13
Let h(r) = -12*r + 482. Let m be h(40). Let z(c) be the first derivative of -1/16*c**4 + 0*c + 0*c**3 - 6 + 1/2*c**m. Determine j so that z(j) = 0.
-2, 0, 2
Suppose -854 = 4*m + 3*w - 2*w, -5*m - 4*w = 1062. Let v be 0 + (-8)/4 - m. Determine t, given that -t**2 - 20 - v*t + 3*t**2 + 230*t = 0.
-10, 1
Factor 395/2 - 42*b + 1/2*b**2.
(b - 79)*(b - 5)/2
Let a be -4 + -3*(-204)/153. Factor 2/11*b**3 + 0 + a*b - 20/11*b**2.
2*b**2*(b - 10)/11
Let n(x) = 110*x + 356. Let p be n(-4). Let g be (-1 - 3)*63/p. Factor 3*s**2 - g - 21/2*s**3 + 21/2*s.
-3*(s - 1)*(s + 1)*(7*s - 2)/2
Let c(z) be the second derivative of -2*z**6/135 - 349*z**5/18 - 126439*z**4/18 + 572033*z**3/27 - 190969*z**2/9 + 200*z + 1. Determine l, given that c(l) = 0.
-437, 1/2, 1
Let l(k) = -57*k - 30. Let f be l(-1). Let z be -6 + 3/f*56. Factor 2/9*g**4 + 0 + 2/9*g**3 - z*g**2 - 2/9*g.
2*g*(g - 1)*(g + 1)**2/9
Let a(h) be the first derivative of h**4/3 - 8*h**3/3 + 6*h**2 - 98*h + 201. Let i(v) be the first derivative of a(v). Let i(t) = 0. Calculate t.
1, 3
Let o(i) = -3*i**3 + 126*i**2 + 906*i + 114. Let r(f) = -5*f**3 + 251*f**2 + 1811*f + 209. Let v(l) = -11*o(l) + 6*r(l). Factor v(y).
3*y*(y + 10)*(y + 30)
Let h(l) be the first derivative of 1/2*l**3 + 1/6*l**4 - 20*l + 1/60*l**5 + 16 + 2/3*l**2. Let m(d) be the first derivative of h(d). Factor m(b).
(b + 1)**2*(b + 4)/3
Suppose -13*f + 15500 = 15500. Let p(c) be the third derivative of f*c**6 + 0 + 0*c**3 + 1/300*c**5 + 0*c**4 + 0*c - 1/1050*c**7 - 16*c**2. Factor p(k).
-k**2*(k - 1)*(k + 1)/5
Factor 4*u**2 - 1272 + 2238 + 962 - 972*u.
4*(u - 241)*(u - 2)
Let -20*z**2 - 483*z - 51*z - 10*z - 65*z - 46*z + 165 = 0. What is z?
-33, 1/4
Suppose 45 + 10 = 5*v. Let g be ((-4)/1)/(1 + -2). Let -v*t**4 - t**4 + g*t**3 + 3*t**5 + 8*t**3 = 0. What is t?
0, 2
Suppose 468*x - 460*x - 16 = 0. Let a(m) be the third derivative of 0 + 0*m**4 + 0*m**3 + 0*m + 1/240*m**5 - 5*m**x. Find j, given that a(j) = 0.
0
Let j(g) be the second derivative of -g**7/168 + 11*g**6/30 + 239*g**5/80 + 149*g**4/24 - 47*g**3/6 - 49*g**2 + 2417*g. Let j(k) = 0. What is k?
-2, 1, 49
Let p(z) = z**3 + 10*z**2 + 23*z + 16. Let v be p(-7). Suppose 4*c = -k, 0 = 2*k - c - v*c. Factor -6/7*x**2 + k + 3/7*x + 3/7*x**3.
3*x*(x - 1)**2/7
Let d(s) be the second derivative of s**6/60 - 17*s**5/40 + 31*s**4/24 - 5*s**3/4 + 794*s. Solve d(k) = 0 for k.
0, 1, 15
Let g be 14*100/(-525)*6/(-4). Let c(b) be the first derivative of -1/7*b**2 + 2/105*b**5 + 24 + 1/14*b**g - 4/21*b + 2/63*b**3. What is h in c(h) = 0?
-2, -1, 1
Let v(b) = b**3 + 3*b**2 - 2*b + 8. Let p be v(-4). Suppose -5*d + 16 - 1 = 0. Factor -1/2*t**d + p - 1/2*t**2 + t.
-t*(t - 1)*(t + 2)/2
Suppose 4*y - 16 = -m + 6*m, -4 = -y - 4*m. Determine b so that -10*b**4 + 4*b**5 - 39*b - 48*b + 4*b**3 + 79*b - 2*b**y + 12*b**2 = 0.
-1, 0, 1, 2
Factor 7*m + 9 + 7406*m**2 + 125*m - 7363*m**2.
(m + 3)*(43*m + 3)
Let a = 12941/214 - 121/2. Let z = 327/214 + a. Factor 0 - 15/4*s**3 - z*s - 21/4*s**2.
-3*s*(s + 1)*(5*s + 2)/4
Let g(u) be the first derivative of u**7/168 - 11*u**6/60 + 9*u**5/5 - 8*u**4/3 - 128*u**3/3 - 9*u - 49. Let q(a) be the first derivative of g(a). Factor q(k).
k*(k - 8)**3*(k + 2)/4
Suppose 22*w = 19*w + 138. Let z = -22 + w. Factor -3*b**3 - 36 + 130*b**2 + z*b - 64*b**2 - 63*b**2.
-3*(b - 2)**2*(b + 3)
Let c = 8409/8 - 8373/8. Factor 15/4*t**2 + 0 + c*t + 3/4*t**3.
3*t*(t + 2)*(t + 3)/4
Let p(o) be the second derivative of o**6/720 - 30*o**2 + 7*o + 9. Let j(i) be the first derivative of p(i). Let j(q) = 0. Calculate q.
0
What is b in 0 + 0*b - 58/9*b**3 - 10/3*b**2 - 26/9*b**4 + 2/9*b**5 = 0?
-1, 0, 15
Solve -220 - 6*z**3 + 86*z - 6*z**3 + 82*z**3 - 72*z**3 + 16*z**2 = 0.
-5, 2, 11
Let a(r) be the third derivative of -r**8/336 + 19*r**7/210 + 17*r**6/40 - 187*r**5/60 - 25*r**4/12 + 28*r**3 - 2084*r**2. Suppose a(k) = 0. What is k?
-4, -1, 1, 2, 21
Let q(k) = -3*k**2 + 27*k - 42. Let h be q(2). Let t(a) be the third derivative of -1/75*a**5 + 7*a**2 + h - 1/8*a**4 + 2/15*a**3 + 0*a. Factor t(r).
-(r + 4)*(4*r - 1)/5
Let b(v) be the first derivative of 3/14*v**4 - 8 - 12/7*v - 4/3*v**3 + 17/7*v**2. Factor b(k).
2*(k - 3)*(k - 1)*(3*k - 2)/7
Let r be (88/(-8) - 29)*2. Let w be r/(-6)*(1 + (-210)/225). Find a such that 14/9*a**2 + 0 - 10/3*a**3 - w*a**5 + 26/9*a**4 - 2/9*a = 0.
0, 1/4, 1
Let w(j) be the first derivative of -2*j**3/9 + 14*j**2/3 + 1234. Factor w(x).
-2*x*(x - 14)/3
Let y = -342273/5 + 68458. What is q in -4/5*q**3 + 27/5*q**2 - 6/5 - y*q = 0?
-1/4, 1, 6
Factor 1249*n + 1010 + 1794*n + 5*n**2 - 2528*n.
5*(n + 2)*(n + 101)
Solve -2*g**5 + 62*g**3 - 39*g**3 + 1539*g + 10*g**5 - 63*g**4 - 20*g**5 + 999*g**2 + 70*g**3 + 324 = 0 for g.
-3, -1/4, 4
Let n(g) = 14*g**3 + 125*g**2 - 217*g + 108. Let t(y) = 68*y**3 + 620*y**2 - 1084*y + 540. Let k(h) = 24*n(h) - 5*t(h). Determine b so that k(b) = 0.
-27, 1
Solve -174/7*t + 6/7*t**3 - 92/7*t**2 + 68/7 = 0 for t.
-2, 1/3, 17
Suppose 13*o + 3*g = 9*o + 8, 0 = 3*o - 3*g - 27. Factor 0*r + 1/4*r**o - 18*r**2 + 0 + 5/2*r**4 + 3*r**3.
r**2*(r - 2)*(r + 6)**2/4
Suppose -8*t + 15*t = 42. Factor 2700*p**3 - 3*p**2 + 6*p**4 + t*p - 2706*p**3 - 3*p**4.
3*p*(p - 2)*(p - 1)*(p + 1)
Let o(q) = 3*q**3 - 582*q**2 - 2376*q - 6. Let x(t) = -2*t**2 - 8*t - 2. Let j(p) = o(p) - 3*x(p). Find n, given that j(n) = 0.
-4, 0, 196
Let j be 122/(-244)*(-5 - 14). Factor j*s**3 + 7/2*s**4 - 1 + 1/2*s + 15/2*s**2.
(s + 1)**3*(7*s - 2)/2
Let n(a) = 50*a - 130. Let m(c) = -15*c - 35*c - 60 - c**2 + 191. Suppose 83*x - 85*x = -10. Let v(q) = x*m(q) + 6*n(q). What is r in v(r) = 0?
5
Let m be (-1701)/(-504) + (-1)/8*3. Factor -5*h**4 + 5*h**2 - 50*h**3 + 10*h - 47*h**3 + 87*h**m.
-5*h*(h - 1)*(h + 1)*(h + 2)
Let w = -192 - -192. Let l(v) = -v + 2. Let m be l(w). Factor -r - 1/2*r**m - 1/2.
-(r + 1)**2/2
Let j be 6/14 - 361/(-1995)*145. Factor j*y**4 + 32/3*y**5 + 0*y + 6*y**2 + 22*y**3 + 0.
2*y**2*(y + 1)*(4*y + 3)**2/3
Suppose -2*c - 19 = 2*b + 7, -62 = 5*b + 4*c. Let v(u) = -2*u**2 - 19*u + 12. Let f be v(b). Find i, given that -9*i**f + 9 - 23*i**3 + 20*i**3 + 2*i + i = 0.
-3, -1, 1
Let k(c) = c**4 - c**3 - 6*c**2 + 6*c - 6. Let g(l) = 3*l**3 + 65 + 17*l**2 - 10*l - 48 - 3*l**4 - 7*l. Let z(p) = 6*g(p) + 17*k(p). Let z(i) = 0. Calculate i.
0, 1
Let h be (130/(-8))/(3 + 70/(-28)). Let p = -443/14 - h. Factor 2/7*o**3 + p*o**2 + 0*o - 8/7.
2*(o - 1)*(o + 2)**2/7
Suppose 2*t + 258 = -a, -2*a - 12*t - 522 = -14*t. Let m be (-5)/((-10)/(-12)) + a/(-40). Factor 0 + 2*w - m*w**2.
-w*(w - 4)/2
Find v such that -32 - 14 + 31*v**2 + 79*v**2 - 62 - 538*v + 48 = 0.
-6/55, 5
Let q be (11/7 + 0)*(1161/(-86) + (-144)/(-6)). Let -q*l**2 - 31/2 + 1/2*l**3 + 63/2*l = 0. Calculate l.
1, 31
Let u(g) be the third derivative of 0*g**3 + 45*g**2 - 2*g + 1/660*g**6 - 1/66*g**5 + 0*g**4 + 0. Factor u(p).
2*p**2*(p - 5)/11
Suppose -2*s - d = -4, -d - 2 = 3*s - 4*s. Factor 148*v**4 + 4 + 7*v**s - 6*v**3 - 151*v**4 + 5 + 3*v**2 + v**5 + 21*v.
(v - 3)**2*(v + 1)**3
Let z(n) be the third derivative of n**5/390 - 2*n**4/39 - 20*n**3/39 + 2*n**2 - 524. Factor z(v).
2*(v - 10)*(v + 2)/13
Solve -14*i**4 + 1651/2*i**2 + 450 + 665/4*i**3 + 1/4*i**5 + 1095*i = 0 for i.
-2, -1, 30
Let q(i) be the first derivative of -i**6/3 - 386*i**5/5 - 6240*i**4 - 548864*i**3/3 - 262144*i**2 + 221. Find s such that q(s) = 0.
-64, -1, 0
Let d(m) = 14*m**4 - 1194*m**3 + 179996*m**2 - 356410*m + 177612. Let a(l) = 6*l**4 + l**3 + l**2 - l + 2. Let g(p) = -2*a(p) + d(p). Factor g(z).
2*(z - 298)**2*(z - 1)**2
Let i be (-133)/(-7) - 46 - -29. Factor -2/5*j**i - 7/5*j**3 + 0*j + 0.
-j**2*(7*j + 2)/5
Le