**3/33 - 9*k. What is m in u(m) = 0?
0, 1, 4
Let i(s) be the second derivative of -1/21*s**3 + s + 0 - 1/70*s**5 + 0*s**2 + 1/21*s**4. Factor i(b).
-2*b*(b - 1)**2/7
Let u be (4/15)/(56/20). Let j(y) be the first derivative of -5/14*y**4 + 0*y + u*y**3 - 1 + 2/7*y**2 + 1/7*y**6 - 2/35*y**5. Determine g so that j(g) = 0.
-1, -2/3, 0, 1
Let d be (18/243)/((-2)/(-6)). Factor d*c**2 + 4/9*c - 2/3.
2*(c - 1)*(c + 3)/9
Factor -290 + 42*g - 5*g**2 + 88*g - 450 - 105.
-5*(g - 13)**2
Let g = 16 + -79/5. Factor 0 + 1/5*l - 1/5*l**3 + g*l**2 - 1/5*l**4.
-l*(l - 1)*(l + 1)**2/5
Let v(a) be the first derivative of -5*a**4/4 - 5*a**3/3 + 5*a**2/2 + 5*a + 2. Factor v(c).
-5*(c - 1)*(c + 1)**2
Factor 2/5*w + 1/5*w**2 + 1/5.
(w + 1)**2/5
Let r be (-2 + 40/14)*(-8)/(-12). What is a in 4/7*a - r*a**3 + 0 - 6/7*a**2 + 6/7*a**4 = 0?
-1, 0, 2/3, 1
Let c(r) = -5*r**2 + 3*r. Let y(d) = -11*d**2 + 7*d. Suppose -35 = -k - 2*k + 2*v, -4*v - 16 = 0. Let f(m) = k*c(m) - 4*y(m). Suppose f(o) = 0. What is o?
-1, 0
Let w(d) = 12*d**4 + 117*d**3 - 27*d**2 - 156*d - 27. Let b(f) = -2*f**2 + f**3 + 0*f**3 + f**4 + 8*f**3 - 2 - 12*f. Let v(p) = 27*b(p) - 2*w(p). Factor v(k).
3*k*(k - 1)*(k + 2)**2
Let l(z) be the first derivative of -4*z**3/3 + 4*z**2 + 12*z + 5. Factor l(a).
-4*(a - 3)*(a + 1)
Let m(v) be the second derivative of -v + 0 - 1/42*v**4 - 1/70*v**5 + 1/7*v**2 + 1/21*v**3. Determine q so that m(q) = 0.
-1, 1
Let p = -6 + 10. Let k(i) = 13*i - 258. Let m be k(20). Find q, given that -2*q**3 + 2/5*q**m + 16/5*q + 2/5*q**5 + 8/5 - 2/5*q**p = 0.
-1, 2
Suppose -7 = -5*h + 3. Suppose -o = -2*o + 4. Determine l, given that -o*l + h - 2*l**2 + 4*l = 0.
-1, 1
Determine g, given that 1/3 - 5/3*g**4 + 4/3*g**2 + 2/3*g**5 - 4/3*g + 2/3*g**3 = 0.
-1, 1/2, 1
Let s(j) = -7*j**3 - 11*j**2 - 5*j - 1. Let h(i) = 6*i**3 + 10*i**2 + 4*i. Let f(k) = -6*h(k) - 5*s(k). What is g in f(g) = 0?
-5, -1, 1
Let h(a) be the third derivative of a**8/10080 + a**7/630 + a**6/90 + a**5/30 + 2*a**2. Let s(m) be the third derivative of h(m). Factor s(y).
2*(y + 2)**2
Let u(g) = g - 8. Let i be u(10). Suppose 2*p**2 + 6*p**2 - 10*p**i = 0. Calculate p.
0
Let x(q) = -q**2 - q - 1. Let c(h) = 3*h**2 + 3*h + 12. Let j(p) = -c(p) - 6*x(p). Factor j(z).
3*(z - 1)*(z + 2)
Let j(l) be the second derivative of 0 + 3*l + 1/12*l**4 + 0*l**2 - 1/20*l**5 + 0*l**3. Find s such that j(s) = 0.
0, 1
Suppose 2*t - 4*v = -16, -2*t + 0 = -v + 4. Find j, given that t*j + 2/5*j**2 - 8/5 = 0.
-2, 2
Let p(l) be the second derivative of -1/30*l**4 + 0 + 0*l**2 + 0*l**3 - 5*l. What is z in p(z) = 0?
0
Factor -5*w**2 - 6 - 6*w + 4*w**2 + 2*w**2 + 7*w.
(w - 2)*(w + 3)
Determine f, given that -3*f**4 + 2*f**2 + 4*f**4 + 25*f**3 - 22*f**3 = 0.
-2, -1, 0
Factor -24*v**2 + 21*v**3 + 27/2*v + 3/2*v**5 - 9*v**4 - 3.
3*(v - 2)*(v - 1)**4/2
Let y be (0 - 2) + (21 - 19). Factor y + 0*k**2 - 2/3*k**3 + 0*k.
-2*k**3/3
Let j(h) be the third derivative of -h**8/168 + h**7/35 - 2*h**5/15 - 2*h**2. Determine a, given that j(a) = 0.
-1, 0, 2
Let v(g) be the second derivative of -g**7/42 + g**6/30 + g**5/10 - g**4/6 - g**3/6 + g**2/2 - 10*g. Factor v(r).
-(r - 1)**3*(r + 1)**2
Let q(r) be the second derivative of r**6/105 - r**5/10 + 5*r**4/14 - 3*r**3/7 + 14*r. Let q(u) = 0. What is u?
0, 1, 3
Factor 2*h**2 - 3*h**2 - 5*h**2 - 4 - 10*h.
-2*(h + 1)*(3*h + 2)
Let p(l) be the first derivative of 2*l**3/9 + 2*l**2/3 + 2*l/3 + 4. Factor p(d).
2*(d + 1)**2/3
Suppose -5 = 8*y + 19. Let m be 3/18 + (-1)/y. Factor m*i**2 + 1/2 - i.
(i - 1)**2/2
Let n(g) be the first derivative of g**6/39 + 2*g**5/65 - 12. Factor n(a).
2*a**4*(a + 1)/13
Let a(s) be the third derivative of -s**6/180 - 7*s**5/270 - 5*s**4/108 - s**3/27 + 62*s**2. Factor a(y).
-2*(y + 1)**2*(3*y + 1)/9
Suppose -30 = -h - 5*h. Let j(n) be the first derivative of -4 + 1/16*n**4 - 1/6*n**3 + 1/20*n**h + 0*n**2 + 0*n. Factor j(v).
v**2*(v - 1)*(v + 2)/4
Let u(x) = 5*x**2 - 8*x - 26. Let g(r) = -6*r**2 + 9*r + 27. Let t(l) = 2*g(l) + 3*u(l). What is k in t(k) = 0?
-2, 4
Determine c so that -4*c**3 + c**3 - 7*c**3 - 15*c**2 + 5 = 0.
-1, 1/2
Determine i, given that -3/2 + 9/2*i**3 - 9/2*i - 3/2*i**2 + 3*i**4 = 0.
-1, -1/2, 1
Let r be 3*(-69)/45 - (-4 + -1). Factor 0 + r*j + 1/5*j**2.
j*(j + 2)/5
Let p = -241 - -241. Suppose 1/2*y**2 - y**3 + p*y + 0 + 1/2*y**4 = 0. Calculate y.
0, 1
Let v(f) = f - 1. Let c(a) = a**2 - 10*a + 2. Let x(u) = -c(u) - 4*v(u). Let t be x(6). Factor 16/7*m - 8/7 + 10/7*m**t.
2*(m + 2)*(5*m - 2)/7
Let y(h) = h**4 + h**2 + 1. Let l(q) = q**4 - 12*q**3 - 5*q**2 + 4. Let z(u) = l(u) - 4*y(u). Factor z(n).
-3*n**2*(n + 1)*(n + 3)
Suppose d + 3*d + 2*w = 22, -3*d - 5*w = -20. Let h be (8/d)/((-8)/(-20)). Determine n, given that n**h + 3*n**2 + 0*n**4 - 4*n**2 + 0*n**4 = 0.
-1, 0, 1
Let d(o) = 3*o**3 + 5*o**2 + 4. Let l(w) = -5*w**3 - 9*w**2 - 7. Let m(y) = -7*d(y) - 4*l(y). Factor m(k).
-k**2*(k - 1)
Let z(n) be the first derivative of n**4/36 + n**3/9 + n**2/6 - 2*n + 2. Let b(r) be the first derivative of z(r). Suppose b(k) = 0. Calculate k.
-1
Let n be (-4)/20*10/(-8). Let z(s) be the first derivative of s + 1 - 1/3*s**3 + 1/2*s**2 - n*s**4. Suppose z(v) = 0. What is v?
-1, 1
Let i(v) be the second derivative of -v**6/15 + v**5/10 + v**4/6 - v**3/3 + 18*v. Solve i(m) = 0.
-1, 0, 1
Solve 4*f**2 + 4/3*f + 0 + 5/3*f**3 = 0.
-2, -2/5, 0
Let h(w) be the third derivative of -1/30*w**5 + 0*w - 4/3*w**3 + 0 - 4*w**2 - 1/3*w**4. Factor h(k).
-2*(k + 2)**2
Suppose 2*c + d - 4 - 3 = 0, 3*c = 3*d + 33. Let j(x) be the third derivative of 1/120*x**c + 0 - 1/6*x**3 + 1/60*x**5 + 0*x - 1/24*x**4 + 2*x**2. Factor j(p).
(p - 1)*(p + 1)**2
Factor 7/4*u**2 + 5/2*u + 1/4*u**3 + 0.
u*(u + 2)*(u + 5)/4
Solve -57*t**2 + 109*t**2 - 56*t**2 + 2 + 10 - 8*t = 0.
-3, 1
Let b(p) be the second derivative of p**6/15 - 3*p**5/10 + p**4/2 - p**3/3 - 23*p. Let b(q) = 0. Calculate q.
0, 1
Let f(y) be the third derivative of -y**6/280 - y**5/70 - y**4/56 - 10*y**2. Factor f(v).
-3*v*(v + 1)**2/7
Let c(o) = o + 6. Let r be c(-6). Let w(j) be the second derivative of 1/12*j**3 + r - 1/48*j**4 + 2*j + 0*j**2. Solve w(m) = 0.
0, 2
Suppose -b + 2*a = 4*a - 11, -2*b - 5*a = -27. Let u(c) be the first derivative of b + 4/15*c**3 - 3/5*c**2 + 2/5*c. Suppose u(k) = 0. Calculate k.
1/2, 1
Let n be (-1 - -2)/(-1)*0. Find i, given that 2*i - i - 6*i**4 + n*i + i**3 - 9*i**5 + 6*i**2 + 7*i**3 = 0.
-1, -1/3, 0, 1
Suppose 15 = 4*x - 13. Factor -3*v**4 - 4*v + 4*v - 4*v**5 + x*v**4.
-4*v**4*(v - 1)
Let p be 8/2 + (-4 - -4). Suppose 5*j + 0*t = -p*t + 2, -3*t = 4*j - 2. Factor -2*c**2 + 0*c + 8*c - 8 + 0*c**j.
-2*(c - 2)**2
Suppose -8 = -19*t + 15*t. Suppose -1/3*g**4 + 0 + 1/3*g + 1/3*g**t - 1/3*g**3 = 0. What is g?
-1, 0, 1
Let f(x) = 3*x**2 - 1. Let o be f(-1). Let p(l) be the first derivative of 0*l - 1/3*l**2 + o + 1/9*l**3. Factor p(j).
j*(j - 2)/3
Let q(p) be the second derivative of p**7/112 - 3*p**6/80 + 3*p**5/80 + p**4/16 - 3*p**3/16 + 3*p**2/16 + 45*p. Find f such that q(f) = 0.
-1, 1
Let g(o) be the first derivative of o**5/15 + o**4/3 + 3*o**2/2 - 3. Let p(n) be the second derivative of g(n). Factor p(t).
4*t*(t + 2)
Let j(k) be the third derivative of 0*k**3 - 1/540*k**6 + 0 - 1/90*k**5 + 0*k - 3*k**2 - 1/54*k**4. Factor j(v).
-2*v*(v + 1)*(v + 2)/9
Let k(z) be the third derivative of z**5/20 - 3*z**4/4 + 9*z**3/2 - 3*z**2. Factor k(n).
3*(n - 3)**2
Let t(z) be the first derivative of -2*z**3/3 - 4*z**2 - 6*z + 11. Find k, given that t(k) = 0.
-3, -1
Let n(l) be the second derivative of -l**7/252 - l**6/36 - l**5/40 + l**4/8 + 17*l. Factor n(s).
-s**2*(s - 1)*(s + 3)**2/6
Let t(l) be the third derivative of 1/10*l**5 + 1/8*l**4 + 0*l**3 + 0*l + 0*l**6 + 0 - 3*l**2 - 1/112*l**8 - 1/35*l**7. Let t(o) = 0. What is o?
-1, 0, 1
Let h(q) be the second derivative of -1/10*q**3 + 1/20*q**4 + 3*q + 0*q**2 + 0. Find a, given that h(a) = 0.
0, 1
Suppose 0*j - 12/7*j**3 - 3/7*j**5 + 0 - 11/7*j**4 - 4/7*j**2 = 0. Calculate j.
-2, -1, -2/3, 0
Let x(v) be the third derivative of 0*v - 1/420*v**6 - 1/1176*v**8 + 0 + 4/735*v**7 + 8/21*v**3 + 1/21*v**4 + 4*v**2 - 1/21*v**5. Solve x(h) = 0.
-1, 2
Let k(y) be the first derivative of -y**3 + 3*y**2/2 + 6*y + 3. Find h, given that k(h) = 0.
-1, 2
Let f(i) be the third derivative