- 367*w = 0.
-12, 1
Find s such that s**3 - 2*s**3 - 13395*s**2 + 36*s - 15*s - 11 + 13386*s**2 = 0.
-11, 1
Let n(i) be the third derivative of -i**8/336 + 7*i**6/120 + i**5/10 + 2*i**2. Factor n(q).
-q**2*(q - 3)*(q + 1)*(q + 2)
Let g be 1679/219 + -2*(-9)/2. Solve 20/3*b**2 + 0 + 8/9*b + g*b**3 + 125/9*b**4 = 0 for b.
-2/5, 0
Let 125 - 63 - m**4 - 20*m**3 - 62 - 22*m + 43*m**2 = 0. What is m?
-22, 0, 1
Let i(j) be the second derivative of -3/4*j**3 - 7*j + 0 + 0*j**2 - 1/2*j**4 - 3/40*j**5. Factor i(k).
-3*k*(k + 1)*(k + 3)/2
Let c(q) = -q**3 + q**2 - q. Suppose -2*k + 3*x + 5 = 2*k, -25 = -k - 4*x. Let a(w) = w - 2 + 0 + 2 - k*w**2. Let u(z) = -4*a(z) + 12*c(z). Factor u(p).
-4*p*(p - 2)*(3*p - 2)
Let l(u) be the third derivative of 0*u**4 - 21*u**2 + 1/14*u**3 + 0 - 1/140*u**5 + 0*u. Factor l(b).
-3*(b - 1)*(b + 1)/7
Suppose -a = -0*a - 7. Let x = -5 + a. Suppose 4*y**3 + 16*y**4 + 4*y**x - 18*y**4 - 2*y**3 = 0. What is y?
-1, 0, 2
Let z be (-76)/72*(2 - 14/4). Let q = -4/3 + z. Factor 1/2 - q*c**2 + 1/4*c.
-(c - 2)*(c + 1)/4
Let p(i) be the second derivative of -21*i + 1/150*i**5 - 2/45*i**4 + 4/45*i**3 + 0 + 0*i**2. Solve p(h) = 0.
0, 2
Let s(v) be the second derivative of v**5/16 + 25*v**4/12 - 215*v**3/24 + 55*v**2/4 - 7*v - 4. Factor s(q).
5*(q - 1)**2*(q + 22)/4
Suppose -5*z + 0*z + 20 = 0, -15 = -g - 3*z. What is d in 15*d**2 + 3*d**g - 49*d**5 - 4*d - 70*d**4 + 9*d**2 - 4*d**2 = 0?
-1, 0, 2/7
Let t(a) be the second derivative of a**5/45 + 5*a**4/18 + 8*a**3/9 - 16*a**2/9 - 62*a. Factor t(c).
2*(c + 4)**2*(2*c - 1)/9
What is m in -20*m**2 - 3*m**3 - 3*m**4 - 17*m + 14*m - 90 - 30*m + 77*m**2 = 0?
-5, -1, 2, 3
Let x(z) be the second derivative of 9/4*z**4 - 9/20*z**5 + 1/30*z**6 + 0 + 11*z - 9/2*z**3 + 0*z**2. Factor x(q).
q*(q - 3)**3
Let u(q) be the first derivative of -2*q**5/25 + 3*q**4/10 + 14*q**3/15 - 3*q**2 - 36*q/5 - 237. Let u(a) = 0. Calculate a.
-2, -1, 3
Let g(h) = 2*h**3 + 3*h + 11*h**2 + 6*h - 4*h + h**3. Let q(m) = 4*m**3 + 16*m**2 + 8*m. Let u(p) = 8*g(p) - 5*q(p). Factor u(b).
4*b**2*(b + 2)
Let w(l) = 4*l**2 + 139*l + 758. Let u be w(-28). Factor 27/8 + 3/8*m**u - 15/4*m.
3*(m - 9)*(m - 1)/8
Let x(y) be the second derivative of -y**5/30 - 7*y**4/6 - 8*y**3 - 68*y**2/3 - 2*y + 19. Factor x(z).
-2*(z + 2)**2*(z + 17)/3
Suppose 191*j = 189*j + 14. Let f(x) be the third derivative of 1/42*x**4 - 1/210*x**6 + 1/21*x**3 + 0*x + 0 + 0*x**5 - 4*x**2 - 1/735*x**j. Factor f(i).
-2*(i - 1)*(i + 1)**3/7
Let q(w) be the first derivative of -7*w**6/15 - 18*w**5/25 + w**4/2 + 6*w**3/5 + 2*w**2/5 + 11. Suppose q(s) = 0. What is s?
-1, -2/7, 0, 1
Let f(y) be the second derivative of -y**5/70 - y**4/14 + 24*y**3/7 - 176*y**2/7 - 18*y + 6. Factor f(j).
-2*(j - 4)**2*(j + 11)/7
Let x(t) be the first derivative of -t**4/4 - t**3 + t**2/2 + 3*t - 209. Factor x(o).
-(o - 1)*(o + 1)*(o + 3)
Factor -12/7*b - 135/7*b**3 - 75/7*b**4 - 72/7*b**2 + 0.
-3*b*(b + 1)*(5*b + 2)**2/7
Let h = -12221 - -12223. Find a such that -5/4*a**4 + 0*a - 5/4*a**h + 5/2*a**3 + 0 = 0.
0, 1
Suppose 5*a - 22 = -4*p, -5*p + 11 = -17*a + 15*a. Let b be (4/(-6))/((-2)/9). Find w, given that 2*w**5 + 0 - 1/2*w - 5/2*w**a + 5/2*w**4 - 3/2*w**b = 0.
-1, -1/4, 0, 1
Let j(w) be the third derivative of 0*w**3 - 1/42*w**7 - 1/120*w**6 - 1/112*w**8 + 0*w**4 + 15*w**2 + 0*w + 0 + 1/60*w**5. Suppose j(z) = 0. What is z?
-1, 0, 1/3
Let p(j) be the second derivative of -j**7/21 - 9*j**6/5 - 2*j + 10. Factor p(i).
-2*i**4*(i + 27)
Let g(c) be the third derivative of c**7/560 - 7*c**6/320 + 7*c**5/80 - c**4/8 - 2*c**2 + 26. Find j, given that g(j) = 0.
0, 1, 2, 4
Let a = -9 + 10. Let l be 3 - -2 - (3 - a). Determine n, given that -25*n - 3*n**2 + 25*n + 0*n**4 + l*n**4 = 0.
-1, 0, 1
Let z(b) be the third derivative of -b**7/2520 + b**5/360 - 7*b**3/3 + 30*b**2. Let p(w) be the first derivative of z(w). Find h such that p(h) = 0.
-1, 0, 1
Find s, given that 56/13*s**2 + 18/13*s**4 + 68/13*s**3 - 16/13*s + 0 = 0.
-2, 0, 2/9
Let i(f) = f**4 + f**3 - 1. Let a = 113 - 112. Let b(t) = 14*t**4 - 5*t**3 - 11*t**2 + 7*t - 3. Let g(n) = a*b(n) - 2*i(n). Solve g(z) = 0 for z.
-1, 1/4, 1/3, 1
Suppose -q = 3*x + 164, 3*q = 6*q - 3*x + 432. Let t = q - -299/2. Factor t + m + 1/2*m**2.
(m + 1)**2/2
Let d(p) be the third derivative of -1/24*p**4 - 1/75*p**5 + 17*p**2 + 0*p - 1/600*p**6 - 1/15*p**3 + 0. Let d(n) = 0. Calculate n.
-2, -1
Let j(k) be the second derivative of -k**6/45 + k**5/5 + 5*k**4/6 + 8*k**3/9 - 95*k. Factor j(l).
-2*l*(l - 8)*(l + 1)**2/3
Find u such that 0*u**2 - 96 + 0*u**2 + 3820*u - u**2 - 3848*u = 0.
-24, -4
Determine t so that 3/2*t**2 + 162 + 327/2*t = 0.
-108, -1
Suppose 2*g + c - 3 = 0, -12 + 1 = -4*g + 3*c. Let -30*s**3 - 63*s**4 + 54*s**5 - 8*s**2 + s**g + 6*s + 40*s**2 + 0*s**5 = 0. What is s?
-2/3, -1/6, 0, 1
Let z be (-7)/5 + 1 - 44/(-10). Factor -34*u**2 + 0*u**3 + 7*u**2 + 12 + 9*u**z + 6*u**3.
3*(u - 1)**2*(u + 2)*(3*u + 2)
Suppose 2 + 2 = 2*w. Let k = 19244/28893 + 6/9631. Factor 0 - 2/3*j - k*j**w.
-2*j*(j + 1)/3
Let y(m) be the second derivative of m**6/70 - 39*m**5/140 + 45*m**4/28 + 25*m**3/14 - 375*m**2/7 - m + 10. What is g in y(g) = 0?
-2, 5
Factor 0*d + 48/7*d**3 + 0*d**2 + 2/7*d**5 + 4*d**4 + 0.
2*d**3*(d + 2)*(d + 12)/7
Let l(i) be the third derivative of -i**6/840 + i**5/84 - i**4/42 - 4*i**2 + 8. Factor l(v).
-v*(v - 4)*(v - 1)/7
Let f = -106 - -113. Suppose 5*s + 4*i = -5, f*s - 8*s + 5*i + 28 = 0. Factor -1/6*o**s + 0 - 1/6*o + 1/3*o**2.
-o*(o - 1)**2/6
Let p(s) be the third derivative of -s**9/60480 - s**8/20160 + s**7/5040 + s**6/720 + s**5/20 + 9*s**2. Let q(h) be the third derivative of p(h). Factor q(j).
-(j - 1)*(j + 1)**2
Let s(h) = h**2 - 20*h - 187. Let m be s(27). Let -18/7*z**3 - 8/7*z + 24/7*z**m + 0 = 0. Calculate z.
0, 2/3
Let i(k) be the second derivative of 1/39*k**3 + 0 + 1/39*k**4 + 13*k + 0*k**2 + 1/130*k**5. Factor i(c).
2*c*(c + 1)**2/13
Let f(m) be the first derivative of -m**4/10 + 16*m**3/15 + 33*m**2/5 + 117. Factor f(j).
-2*j*(j - 11)*(j + 3)/5
Let o(x) be the first derivative of -5*x**4/12 - 133*x**3/9 - 38*x**2/3 + 52*x/3 - 551. Factor o(y).
-(y + 1)*(y + 26)*(5*y - 2)/3
Suppose 267 = 4*b - 0*b - m, -184 = -3*b + 4*m. Solve -32*r - 2 + b*r + 18 - 20*r + 4*r**2 = 0 for r.
-2
Let c(b) be the first derivative of 0*b - 12/7*b**2 + 4/21*b**3 + 2. Factor c(p).
4*p*(p - 6)/7
Let f be ((-999)/(-259) + 1 + -4)/3. Let b be (8 - -4)*(-1)/(-4). Factor -6/7*c**2 + 4/7*c + 0 + f*c**b.
2*c*(c - 2)*(c - 1)/7
Suppose 120 + 5*k**4 - 538*k - 65*k**2 + 949*k + 10*k**3 - 481*k = 0. Calculate k.
-4, -2, 1, 3
Let b(v) = -v**2 - 6*v. Let j be b(-5). What is w in j*w - 5*w + 2*w**2 - 9*w - 5*w**2 = 0?
-3, 0
Let s be ((-12)/10 + 1152/560)*49/14. Factor 0 - 2/5*r**4 + 2*r**2 + 2/5*r**s + 6/5*r.
-2*r*(r - 3)*(r + 1)**2/5
Suppose -3*j - 60 = 2*j. Let r be (-1)/((j/9)/4). Let u(d) = 17*d**3 - 15*d**2 + 3*d. Let h(z) = -9*z**3 + 7*z**2 - z. Let m(k) = r*u(k) + 5*h(k). Factor m(p).
2*p*(p - 1)*(3*p - 2)
Let v(p) be the third derivative of -p**5/45 - 52*p**4/9 - 5408*p**3/9 + 3*p**2 + 2. Determine u, given that v(u) = 0.
-52
Factor -o**5 - 4*o - 22*o + 52*o**3 - 5*o + 3*o**5 - 26 - 23*o - 4*o**2 + 30*o**4.
2*(o - 1)*(o + 1)**3*(o + 13)
Let q = 22155/1766 + -40/883. Determine f so that q - 5/2*f**2 - 10*f = 0.
-5, 1
Suppose -3*d - 4 = p, -4 = 2*p + 2*p. Let o be 5/18 + (7/(-9) - d). Determine k so that 0*k - o*k**2 - 1/4*k**3 + 0 = 0.
-2, 0
Let q(z) = 5*z**2 - 18*z + 4. Let j be q(8). Factor -69*d**2 + j + 151*d**2 + 14*d**3 - 64*d**3 + 103*d**2 + 5*d**4 - 300*d.
5*(d - 3)**2*(d - 2)**2
Let h(t) = t**4 - 101*t + 102*t + 2 - t**2 - t**3 - 1. Let o(q) = -6*q**4 - 3*q**3 - 3*q**2 - 6*q - 4. Let j(i) = 4*h(i) + o(i). Suppose j(r) = 0. Calculate r.
-2, -1, -1/2, 0
Suppose -2*s = a - 12, 5*a - 4*s = -0*s + 4. Let 4*z**a - 2040 + 2040 + z**5 - 3*z + 2*z**3 - 4*z**2 = 0. Calculate z.
-3, -1, 0, 1
Let m(o) be the third derivative of o**5/180 + 41*o**4/36 + 1681*o**3/18 - 60*o**2 + 2. Solve m(l) = 0.
-41
Let i(s) be the first derivative of 16/3*s**3 - 13/6*s**4 - 3*s**2 - 4/3*s + 7. Solve i(l) = 0.
-2/13, 1
Let w(l) be the second derivative of -1/4*l**4 + 0 - 1/2*l**3 - 13*l + 3*l**2. Let w(b) = 0. Calculate b.
-2, 1
Let r(x) be the third derivative of -x**