*k**2 - 7/6*k**4 + 0*k - 2/105*k**7 + 0 - 1/6*k**6 - a*k**3. Factor n(i).
-4*(i + 1)**3*(i + 2)
Let c be (-4)/40 - (-99)/22*(-6184)/(-30). Solve -2548*q - 331/2*q**3 - 2744 - c*q**2 - 1/2*q**5 - 29/2*q**4 = 0.
-7, -4
Let f = -1647 + 1649. Let a(k) be the second derivative of 4/3*k**f + 0*k**3 + 0 + 9*k - 1/18*k**4. Let a(x) = 0. Calculate x.
-2, 2
Let o(d) be the second derivative of d**7/18900 - d**6/300 + 17*d**5/900 + d**4 + d**3/6 - 248*d. Let b(a) be the third derivative of o(a). Factor b(h).
2*(h - 17)*(h - 1)/15
Let q(l) be the third derivative of -l**8/252 - 5*l**7/63 - l**6/20 + 37*l**5/90 + 11*l**4/36 - 4*l**3/3 - 59*l**2 - 1. Suppose q(i) = 0. What is i?
-12, -1, 1/2, 1
Suppose 3*b + 18 = k + 2*k, b = -4*k + 9. Factor -6*v + v**4 - 10*v + 2*v**3 + 2*v**2 - k*v**2 + 14*v.
v*(v - 1)*(v + 1)*(v + 2)
Let g be 1671/(-39) - (-105 + 62). Factor g*h**3 + 4/13 + 8/13*h**2 + 10/13*h.
2*(h + 1)**2*(h + 2)/13
Let h(c) = -66*c**2 + 7171*c + 1189. Let m(t) = -54*t**2 + 7169*t + 1191. Let o(p) = 2*h(p) - 3*m(p). Factor o(a).
5*(a - 239)*(6*a + 1)
Let f(l) = 13*l + 57. Let d be f(-4). Suppose 3*x = 0, -2*x = -u - x + 2. Determine y so that -u*y**3 + 76*y - 74*y + 4 + d*y**2 - 9*y**2 = 0.
-2, -1, 1
Let i(u) be the second derivative of -u**5/4 + 35*u**4/6 + 305*u**3/6 - 425*u**2 - 1544*u. Determine o, given that i(o) = 0.
-5, 2, 17
Suppose -4*u + 264 = -2*c - 268, 540 = 4*u + 2*c. Let o = -65 + u. Find p, given that 19*p**2 - 73 - 28*p - 20*p**3 - 63*p**2 + o = 0.
-1, -1/5
Let w be 4/3*(-231)/(-22). Let k be 3/((-24)/(-68))*w. Find f, given that k*f**2 - 61*f**2 - 56*f**2 = 0.
0
Let d(z) be the second derivative of -46*z + 0 + 0*z**2 + 5/21*z**3 - 1/42*z**4. Factor d(a).
-2*a*(a - 5)/7
Let g(o) = -8*o**2 + 68*o + 6. Let z(m) = 9*m**2 - 69*m - 8. Suppose 0 = -2*l - 6 - 0. Let r(d) = l*z(d) - 4*g(d). Factor r(f).
5*f*(f - 13)
Let a = -1881 - -1883. Suppose 24 + 3/2*j**a - 15*j = 0. What is j?
2, 8
Let d = 918916 + -11945892/13. Determine b so that 0*b + 0 + 2/13*b**5 - 16/13*b**2 + d*b**4 - 2/13*b**3 = 0.
-8, -1, 0, 1
Let l(y) be the first derivative of -y**5 + 55*y**4/4 - 65*y**3 + 245*y**2/2 - 100*y - 22. Factor l(w).
-5*(w - 5)*(w - 4)*(w - 1)**2
Let 112/3 - 568/3*j + 292/3*j**2 - 6*j**3 = 0. What is j?
2/9, 2, 14
Let l(q) be the first derivative of -q**3/12 - 69*q**2/4 - 405*q/4 - 3153. Determine p, given that l(p) = 0.
-135, -3
Suppose -2*a = -5*u + 45, -23*a - 20 = 2*u - 20*a. Let o be (-1)/(-33) - 1/(-3). Solve -o*h**2 + 2/11*h**u + 0*h**3 + 0 - 2/11*h + 4/11*h**4 = 0 for h.
-1, 0, 1
Suppose u = h + 1, 0 = -4*u + h + 6 + 4. What is f in 10*f + 11*f**2 - 18*f - 48 - 35*f**2 - 52*f - u*f**3 = 0?
-4, -2
Let d be (-1)/2 + (-10)/(-4). Suppose -316*y + 132*y + 123 = -143*y. Factor -1/8*m**y + 9/8 - 5/8*m**d - 3/8*m.
-(m - 1)*(m + 3)**2/8
Let f(y) be the first derivative of y**6/2520 - 8*y**5/105 + 128*y**4/21 - y**3 + 26*y - 125. Let z(n) be the third derivative of f(n). Factor z(t).
(t - 32)**2/7
Let v be (1 + 15/(-6) + 3)*(-1176)/(-216). Let a(u) be the first derivative of -v*u**4 - 16/3*u - 20*u**2 - 28*u**3 + 19. Factor a(b).
-2*(b + 2)*(7*b + 2)**2/3
Let r(w) = 6*w**4 + 12*w**3 + 3*w**2 + 11*w + 3. Let f(o) = 49282 + 2*o**3 + 2*o**4 - o**4 - 49281 + o. Let i(b) = 28*f(b) - 4*r(b). What is a in i(a) = 0?
-2, 1
Let q be 20/(-11) + (12 - 8). Suppose u + 12 = 0, -6*i + 32 = -4*u + 4 - 32. Determine f so that 4/11 - q*f - 25/11*f**3 + 45/11*f**i = 0.
2/5, 1
Let r(a) be the second derivative of -a**7/2520 - 2*a**6/27 - 40*a**5/9 - 115*a**3/6 - 101*a. Let x(p) be the second derivative of r(p). Factor x(j).
-j*(j + 40)**2/3
Let r(p) be the second derivative of p**6/10 - 6*p**5/5 - 16*p**4 + 64*p**3 + 1152*p**2 - 2100*p. Solve r(s) = 0 for s.
-4, 4, 12
Let n(i) = 2*i**3 + 3*i**2 - 2*i. Let d be n(6). Let t = d + -525. Let 0 - 3*j**t - 3/2*j**4 + 3*j + 3/2*j**2 = 0. Calculate j.
-2, -1, 0, 1
Let k(t) be the second derivative of -t**4/4 + 94*t**3 + 567*t**2/2 - 1461*t. Find p such that k(p) = 0.
-1, 189
Let p = -4043 + 4043. Let m(g) be the first derivative of -1/3*g**4 - 2/15*g**5 + 4 + p*g**3 + 0*g**2 + 0*g. Suppose m(j) = 0. Calculate j.
-2, 0
Suppose -5*i + q - 4 = -7, 12 = -2*i - 4*q. Let b = 616 - 616. Factor i*v**3 + 2/9*v**5 + 0 - 16/9*v**4 + b*v**2 + 0*v.
2*v**4*(v - 8)/9
Let l be (4 - (-1 + 4))/1. Let m be (-4 - (-5 - -2)) + l. Find a, given that 0*a**5 + m*a**4 - a**4 - 2*a**5 + 7*a**4 - 8*a**2 = 0.
-1, 0, 2
Let m(p) be the first derivative of 36*p - 1/10*p**5 - 11 + 1/15*p**6 + 4/3*p**3 + 0*p**2 - 2/3*p**4. Let n(l) be the first derivative of m(l). Factor n(x).
2*x*(x - 2)*(x - 1)*(x + 2)
Let l(b) = b**3 + 5*b**2 - 8*b - 7. Let y be l(-6). Let t be (1 - 1)/y - (-1 + -2). Factor s**2 + s**t + s**3 - 3*s**3 + 2*s**3.
s**2*(s + 1)
Let s(z) = -1045*z - 36573. Let a be s(-35). Find x, given that 46/3*x - 2/3*x**3 + 20/3*x**a + 8 = 0.
-1, 12
Determine l, given that 0*l - 192/5*l**2 + 57/5*l**4 - 3/5*l**5 + 0 - 132/5*l**3 = 0.
-1, 0, 4, 16
Let x(i) be the third derivative of i**6/144 + 25*i**5/9 - 1092*i**2. What is a in x(a) = 0?
-200, 0
Let x be (-6)/12*(-17)/((-2295)/(-648)). Factor -2/15*i**3 + 0 - x*i + 6/5*i**2.
-2*i*(i - 6)*(i - 3)/15
Let q(l) be the third derivative of 2*l**2 + 2/3*l**3 - 1/12*l**4 + 1/540*l**6 + 3 + 0*l - 1/135*l**5. Factor q(n).
2*(n - 3)*(n - 2)*(n + 3)/9
Let m(d) = 20 + 12*d**3 - 11*d**3 + 7*d + 8*d**2 - 2*d**3. Let j be m(9). Factor -12*a**j + 16*a**5 - 8*a**3 - 151*a**4 + 80*a**4 + 91*a**4.
4*a**2*(a + 1)**2*(4*a - 3)
Suppose 6*m - 661 = 359. What is y in 8 + 181*y**2 - 335*y**2 + m*y**2 + 36*y = 0?
-2, -1/4
Let q be 3*50/15 - 0. Let u(h) = -8*h + q*h - h - 1 + h**2. Let d(o) = -7*o**2 + 28*o + 2. Let k(j) = -d(j) - 2*u(j). Find m, given that k(m) = 0.
0, 6
Suppose 58*h + 32*h - 4*h = -93*h + 358. Factor 6/5*r**3 + 4/5*r + 0 - 14/5*r**h.
2*r*(r - 2)*(3*r - 1)/5
Suppose -52 = 232*d + 701*d - 2851. Factor 2/21*p**d + 162/7*p - 18/7*p**2 - 486/7.
2*(p - 9)**3/21
Let l be 1 + 2 - (-252)/(-60). Let a = 72/35 + l. Suppose 42 + a*p**2 + 12*p = 0. Calculate p.
-7
Let l be 2058/5880*(32 + 3). Factor l*j + 0 + 21*j**2 + 1/4*j**5 + 11/2*j**3 - 3*j**4.
j*(j - 7)**2*(j + 1)**2/4
Determine a so that -1296/5*a + 0 + 108/5*a**3 - 3/5*a**5 - 3*a**4 + 324/5*a**2 = 0.
-6, 0, 3, 4
Let q(z) be the first derivative of z**4/26 - 120*z**3/13 + 609*z**2 + 2548*z - 4156. What is p in q(p) = 0?
-2, 91
Let 21593/2*h**2 + 22801*h + 0 - 298*h**3 + 2*h**4 = 0. Calculate h.
-2, 0, 151/2
Let q(z) be the third derivative of z**6/45 + 7*z**5/15 + 37*z**4/18 - 16*z**3/3 - 1339*z**2. Determine m, given that q(m) = 0.
-8, -3, 1/2
Let u be (816/80 + -10)*(-1)/(-7). Let f(c) be the second derivative of 0 + u*c**5 - 4/49*c**7 + 0*c**4 - 2/105*c**6 + 0*c**3 + 0*c**2 + 39*c. Factor f(i).
-4*i**3*(2*i + 1)*(3*i - 1)/7
Suppose 2*j - 19 = -5*d - 0, -5*j + 7 = -d. Suppose 0 = -j*u - 7*n + 10*n + 6, 4*u - 4*n = 8. Let u - 16/5*x**2 - 4*x**4 + 48/5*x**3 + 0*x = 0. What is x?
0, 2/5, 2
Let f(r) = -4*r**3 + 5656*r**2 + 11372*r + 5680. Let v(b) = -b**3 + 1131*b**2 + 2274*b + 1136. Let x(u) = 3*f(u) - 16*v(u). Let x(o) = 0. What is o?
-1, 284
What is b in 375*b**2 - 485/2*b**3 + 15/2*b**5 - 460 + 20*b**4 + 170*b = 0?
-23/3, -1, 2
Let x = 83345 - 83335. Suppose 1/4*m**2 + 100 + x*m = 0. Calculate m.
-20
Let l = 42 + -37. Suppose 0 = -l*h + 43 + 32. Solve 12*i**2 - 14*i**4 + 26*i**4 - h*i**4 + 9*i**3 = 0.
-1, 0, 4
Let u(r) be the third derivative of r**8/168 + 8*r**7/105 + 17*r**6/60 + r**5/3 + 163*r**2 + 5. Suppose u(c) = 0. Calculate c.
-5, -2, -1, 0
Let a(w) be the third derivative of 0*w**5 + 2*w**2 + 1/48*w**4 + 0*w**3 + 0 - 1/960*w**6 + 23*w. What is y in a(y) = 0?
-2, 0, 2
Let j(u) be the second derivative of u**4/30 + 49*u**3/15 + 94*u**2/5 + 384*u - 1. What is t in j(t) = 0?
-47, -2
Let k(x) be the third derivative of -x**6/780 - 38*x**5/195 - 24*x**4/13 - 241*x**2 + 3. Factor k(c).
-2*c*(c + 4)*(c + 72)/13
Let h = 272733/3836 - -1792/137. Let b = h + -584/7. Suppose 0 + b*x**3 - 3/2*x + 3/4*x**2 = 0. Calculate x.
-2, 0, 1
Solve 4/9*f**2 - 2/9*f**3 - 16/9*f**4 + 0 + 0*f - 10/9*f**5 = 0.
-1, 0, 2/5
Let l = 48 + -46. Suppose -l*x = -s - 1, -s - 3 = 25*x - 28*x. Factor -1/2*m**4 + 1/2 + m - m**s + 0*m**2.
-(m - 1)*(m + 1)**3/2
Suppose -1352*o = -1357*o - 2*x - 6, 0