t is m?
-1, -2/9
Let x = 18 + -2. Let l be (-2)/8 + 4/x. Let l + 15/4*z**2 + 33/4*z**3 + 29/4*z**4 + 1/2*z + 9/4*z**5 = 0. What is z?
-1, -2/9, 0
Let o(b) be the first derivative of 0*b - b**2 - 1/6*b**4 - 1/30*b**5 + 1 - 1/3*b**3. Let k(s) be the second derivative of o(s). Solve k(d) = 0.
-1
Let l(p) = -37*p**3 + p. Let y be l(1). Let c be 3*(-15)/y*4. Suppose -2/7*f + 4/7*f**2 + 0 - 4/7*f**4 + 2/7*f**c + 0*f**3 = 0. Calculate f.
-1, 0, 1
Let y(a) be the third derivative of -a**6/60 - a**3/3 + 3*a**2. Let t(r) = 10*r**3 - r**2 + 11. Let n(k) = -4*t(k) - 22*y(k). Factor n(c).
4*c**2*(c + 1)
Suppose 1/5*h**2 + 1/5*h**5 - 1/5*h**4 + 0*h - 1/5*h**3 + 0 = 0. What is h?
-1, 0, 1
Let r(t) be the third derivative of -t**5/60 - t**4/12 - t**3/6 + 4*t**2. Solve r(c) = 0.
-1
Suppose -4*q - 2*q = 0. Let z(l) be the second derivative of -l + 0*l**2 + q*l**4 + 0*l**3 + 0 - 1/75*l**6 + 1/50*l**5. Determine i so that z(i) = 0.
0, 1
Suppose -9*y - y = 4*y. What is z in 2/9*z**2 - 2/9*z**3 + y*z + 0 = 0?
0, 1
Let d(o) be the first derivative of o**5/3 + 5*o**4/4 + 5*o**3/9 - 5*o**2/2 - 10*o/3 - 42. Factor d(x).
5*(x - 1)*(x + 1)**2*(x + 2)/3
Factor 2/7*f**5 - 2*f**2 + 16/7*f**3 - 1/7 + 6/7*f - 9/7*f**4.
(f - 1)**4*(2*f - 1)/7
Let a(i) = i**4 - 4*i**3 + 17*i**2 + 4*i - 8. Let n(b) = 2*b**4 - 10*b**3 + 42*b**2 + 10*b - 20. Let l(j) = -12*a(j) + 5*n(j). Suppose l(f) = 0. Calculate f.
-2, -1, 1
Let s(j) be the first derivative of -2*j**5/45 - 5*j**4/18 - 16*j**3/27 - 4*j**2/9 + 1. Suppose s(a) = 0. What is a?
-2, -1, 0
Let r(b) = -7*b**2 + 17*b - 13. Let s(n) = 8*n**2 - 18*n + 12. Let a(w) = -6*r(w) - 5*s(w). Suppose a(v) = 0. Calculate v.
3
Let z(k) be the second derivative of 0*k**2 - 1/40*k**5 + 0*k**3 + 0 - k + 1/60*k**6 - 1/24*k**4 + 1/84*k**7. Let z(q) = 0. Calculate q.
-1, 0, 1
Let d = 3 - 119/40. Let n(v) be the third derivative of v**2 + 0*v**3 - d*v**6 + 0*v + 0 - 1/72*v**4 + 1/30*v**5. Factor n(f).
-f*(3*f - 1)**2/3
Suppose 0 = b - 2, 2*y - 4 = -3*y - 2*b. Let p(k) be the second derivative of 0*k**3 + y - 1/20*k**5 + 0*k**2 + k + 1/12*k**4. Determine w, given that p(w) = 0.
0, 1
Let x(b) be the third derivative of -b**5/12 - b**4/2 - 2*b**3 - 2*b**2. Let v(m) = -51*m**2 - 120*m - 120. Let a(q) = -2*v(q) + 21*x(q). Factor a(j).
-3*(j + 2)**2
Let s = 139 - 4869/35. Let j = s + 106/315. Factor j*p**2 + 2/9*p + 0.
2*p*(p + 1)/9
Let x(f) = 9*f**3 - 36*f**2 + 8. Let c(i) = 3*i**3 - 12*i**2 + 3. Let p(r) = 8*c(r) - 3*x(r). Solve p(s) = 0.
0, 4
Factor 6*m**5 - 2*m**3 + 13*m + 7*m**2 - 13*m - 8*m**4 - 3*m**2.
2*m**2*(m - 1)**2*(3*m + 2)
Let r be 6/5 - (-306)/(-255). Factor -7/2*t**4 - t**3 + r + 7/2*t**2 + t.
-t*(t - 1)*(t + 1)*(7*t + 2)/2
Let q(m) be the second derivative of -m**9/52920 - m**8/23520 + m**7/4410 - m**4/6 + m. Let g(u) be the third derivative of q(u). Factor g(i).
-2*i**2*(i - 1)*(i + 2)/7
Suppose -4 = 2*w - 2*x, -2*x + 1 = -5. Let v(o) be the first derivative of -1/12*o**4 - w - 1/2*o**2 + 1/3*o**3 + 1/3*o. Factor v(f).
-(f - 1)**3/3
Let k = -3 - -6. Factor 5*n + 2*n - k*n**2 - n.
-3*n*(n - 2)
Let d(s) = 5*s**2 - s. Let h(v) = -3*v**2 + v. Let p(o) = 4*d(o) + 7*h(o). Factor p(r).
-r*(r - 3)
Let u(c) be the second derivative of -4*c - 3/2*c**2 + 7/4*c**4 + 0 - c**3 - 3/5*c**5. Solve u(w) = 0 for w.
-1/4, 1
Let t be 68/6 + (-6)/(-9). Suppose l = -3*l + t. Determine a, given that 1/2*a**5 + 0*a**l - 1/2*a + a**4 - a**2 + 0 = 0.
-1, 0, 1
Let g(d) be the third derivative of -3*d**8/224 - 19*d**7/210 - 53*d**6/240 - 7*d**5/30 - d**4/12 + 58*d**2. Solve g(n) = 0.
-2, -1, -2/9, 0
Suppose -2*x - 44 + 8 = 0. Let k be ((-8)/54)/(12/x). Factor 2/9*o - 2/9*o**2 + k - 2/9*o**3.
-2*(o - 1)*(o + 1)**2/9
Let r(k) be the first derivative of 8/3*k**2 + 8/3*k - 3 + 1/6*k**4 + 10/9*k**3. Factor r(x).
2*(x + 1)*(x + 2)**2/3
Let t(r) = -1 + 0 - r + 1 - r**3 + 4*r**2. Let j be t(2). Determine h, given that -2*h**3 + j*h - 2*h - 4*h = 0.
0
Factor 105*c**3 + 5*c**4 + 287*c - 486*c + 1914*c + 735*c**2.
5*c*(c + 7)**3
Let h(c) = c. Let p be h(-1). Let f(d) = d**5 + 0 + 3 - 5*d - 2*d**4 + d + 5*d**2. Let t(a) = a**2 - a + 1. Let m(j) = p*f(j) + 3*t(j). Factor m(y).
-y*(y - 1)**3*(y + 1)
Let j = 14 - 12. Suppose 5 = 2*o + y, -j*y = o - 3*y - 10. Solve -2*q**2 - 1/3*q - 8/3*q**3 + 3*q**o + 2*q**4 + 0 = 0 for q.
-1, -1/3, 0, 1
Let d(u) be the second derivative of 0 + 2/5*u**2 + 1/15*u**4 - 1/3*u**3 + 4*u. Factor d(z).
2*(z - 2)*(2*z - 1)/5
Factor 4/15*m + 0 + 2/15*m**3 - 2/5*m**2.
2*m*(m - 2)*(m - 1)/15
Let o(g) be the third derivative of 1/30*g**5 + 0 + 3*g**2 - 1/2*g**3 + 1/6*g**4 + 1/360*g**6 + 0*g. Let t(v) be the first derivative of o(v). Factor t(z).
(z + 2)**2
Let w be (-75)/5*(-8)/10. Suppose 0*g - 3*g = -w. Factor 69*k**4 + 45*k**3 - 12*k**g + 3*k + 3*k**2 + 21*k**5 - 9*k.
3*k*(k + 1)**3*(7*k - 2)
Let b(a) = -9*a**2 + 31. Let m(w) = -2*w**2 + 6. Let r(x) = 2*b(x) - 11*m(x). Factor r(i).
4*(i - 1)*(i + 1)
Factor 32*a + 2*a**3 + 12*a**2 + 44 - 20 + 2*a**2.
2*(a + 2)**2*(a + 3)
Suppose 4*t - 1 = 19. Let o(y) be the second derivative of -1/80*y**t + 0 + 1/16*y**4 - 1/8*y**3 - y + 1/8*y**2. Factor o(c).
-(c - 1)**3/4
Suppose 2*v + 8 = 4*h, -2*h - 2*v - 6 = -5*h. Factor 16 - h*r**3 - 2*r - 4*r**2 - 16.
-2*r*(r + 1)**2
Let f(s) be the second derivative of -s**5/20 - s**4/6 + s**3/2 - 2*s. Find r such that f(r) = 0.
-3, 0, 1
Let k(w) be the second derivative of -w**9/5040 + w**7/840 - w**4/4 + 6*w. Let s(c) be the third derivative of k(c). Factor s(j).
-3*j**2*(j - 1)*(j + 1)
Let x(t) be the first derivative of t**4/6 + 10*t**3/27 - 11*t**2/9 + 2*t/3 - 24. Factor x(f).
2*(f - 1)*(f + 3)*(3*f - 1)/9
Suppose -8*i - 16*i**2 - 1/2*i**5 - 4*i**4 + 0 - 12*i**3 = 0. Calculate i.
-2, 0
Suppose 0*l + 3*l = -12. Let a(z) = 2*z**2 + 4*z + 6. Let x(c) = 2 + 3 - 4. Let g(m) = l*x(m) + a(m). Factor g(y).
2*(y + 1)**2
Suppose 3*s - 51 = 3*x, 2*s - 7*s + x + 105 = 0. Solve -121/2*k**2 - 2 + s*k = 0.
2/11
Factor -5/7*j**4 - j**2 + 9/7*j**3 + 1/7*j**5 + 0 + 2/7*j.
j*(j - 2)*(j - 1)**3/7
Let s(r) = 2*r - 9. Let j be s(6). Factor 3*q**2 - j*q - 1 - q**2 - 1 - 3*q**2.
-(q + 1)*(q + 2)
What is k in 6*k - 20*k**2 + 16 - 2*k**5 - 13*k**3 + 8*k**4 + 2*k + 11*k**3 = 0?
-1, 2
Let f = 233/495 + -13/45. Let f*w**4 + 0*w**3 + 0*w**2 + 0 + 0*w = 0. What is w?
0
Let d = 115/234 + -7/26. Let l(p) be the first derivative of 2 - 2/9*p - d*p**2 - 2/27*p**3. Factor l(n).
-2*(n + 1)**2/9
Factor 0*o**2 + 1/2*o - 1/2*o**3 + 0.
-o*(o - 1)*(o + 1)/2
Suppose 0 = -4*u + 4*b, -4*b + 5 = 2*u - 1. Let h = -1 + u. Factor 0*p - 1/3 + h*p**3 + 2/3*p**2 - 1/3*p**4.
-(p - 1)**2*(p + 1)**2/3
Let v(i) be the first derivative of i**8/140 + i**7/210 - i**6/18 - i**5/30 + i**4/3 + 2*i**3/3 + 1. Let m(t) be the third derivative of v(t). Factor m(r).
4*(r - 1)*(r + 1)**2*(3*r - 2)
Let z = -27 - -17. Let u = z - -12. Let 0*v**3 - 2/3*v**u + 0 + 0*v + 2/3*v**4 = 0. Calculate v.
-1, 0, 1
Let w(j) = -10*j - 86. Let b be w(-9). Factor 54*h**b - 120*h**3 - 176/3*h + 368/3*h**2 + 32/3 - 9*h**5.
-(h - 2)**2*(3*h - 2)**3/3
Let t(j) be the second derivative of 0 + 1/40*j**5 - 1/60*j**6 - 1/12*j**3 + 1/24*j**4 + 4*j + 0*j**2. What is o in t(o) = 0?
-1, 0, 1
Factor -17*s**3 - 4*s**3 - 5*s**4 - 4*s**3 + 22 - 30*s**2 + 18 + 20*s.
-5*(s - 1)*(s + 2)**3
Let f be (-8)/10 + (-42)/(-45). Let k(z) be the first derivative of 0*z - 1/5*z**4 + 3 - f*z**3 + 2/5*z**2 + 2/25*z**5. Suppose k(r) = 0. What is r?
-1, 0, 1, 2
Let y = 83 - 81. Let -9/4*m**3 - 1 - 4*m - 21/4*m**y = 0. Calculate m.
-1, -2/3
Let h(u) = u**2 - 5*u - 4. Let f be (6/5)/((-2)/(-10)). Let d be h(f). Find y such that y**5 + y**2 + y - 2*y**3 + y**4 + y**2 + 1 - 4*y**d = 0.
-1, 1
Find u such that -2/15*u**3 + 2/15*u + 0*u**2 + 0 = 0.
-1, 0, 1
Let 2/11*u**4 + 2/11 - 4/11*u**2 - 2/11*u**5 + 4/11*u**3 - 2/11*u = 0. Calculate u.
-1, 1
Suppose -q + 2*k = -5, 4*q - 17 = -q + 2*k. Let a(l) = -l - 14. Let v be a(-14). Suppose v*u + q*u**2 - u**2 - 2*u = 0. What is u?
0, 1
Factor 0 + 1/5*y**2 + 4/5*y.
y*(y + 4)/5
Let u = -196 + 200. Find w, given that -4*w**3 + 13/5*w**2 - 2/5*w + 9/5*w**u + 0 = 0.
0, 2/9, 1
Let d(a) be the third derivative of -a**2 - 1/420*a**6 + 0*a**4 + 0*a**3 - 1/210*a**5 + 0 + 0*a. Factor d(k).
-2*k**2*(k + 1)/7
Let p(j) be the first derivative of -1/8*j**2 + 1/4*j + 1/16*j