/2
Let y(n) be the second derivative of 5/3*n**4 + 0*n**2 - 4/3*n**3 + 2/21*n**7 - 3/5*n**5 - 2/15*n**6 + 0 + 4*n. What is w in y(w) = 0?
-2, 0, 1
Let b be (0/(1 + 2))/1. Suppose s - 1 - 1 = b. Suppose 0*r**3 + 8 - 5*r**s - 2*r**3 - r**2 = 0. What is r?
-2, 1
Let c(n) be the third derivative of -n**6/300 + n**4/60 - 14*n**2. What is m in c(m) = 0?
-1, 0, 1
Let h(f) = -f**2 - f + 1. Let s(l) = 2*l**2 + 3*l - 7. Let t(j) = -3*h(j) - s(j). Let g be t(0). Factor -2*x**4 - 2*x**3 + 4*x**3 + g*x**4.
2*x**3*(x + 1)
Let g(o) be the second derivative of -1/6*o**2 + 1/30*o**5 + 0 + 1/30*o**6 + o - 1/18*o**4 + 1/126*o**7 - 1/6*o**3. Factor g(j).
(j - 1)*(j + 1)**4/3
Let h be (-5)/35 + 2/14. Determine j so that -15*j**3 - 3*j**2 - 9*j**4 - 32*j + 15*j + 20*j + h*j**4 = 0.
-1, 0, 1/3
Let g(i) be the first derivative of 4 - 1/9*i**2 + 0*i + 0*i**3 + 1/18*i**4. Suppose g(h) = 0. What is h?
-1, 0, 1
Let z(s) be the third derivative of -s**5/480 + s**4/96 + s**3/16 + 9*s**2. Determine j, given that z(j) = 0.
-1, 3
Let n(a) be the third derivative of -a**7/420 + a**5/60 - a**3/12 + 15*a**2. Find u, given that n(u) = 0.
-1, 1
Let g = -1/5 - -11/30. Let n(m) be the second derivative of 0 + 2*m + g*m**4 + 0*m**3 - m**2. Solve n(u) = 0.
-1, 1
Let d(m) = m - 1. Let c be d(3). Let -3*a**2 - 5*a + 2*a - a**3 + 5*a**2 + c*a = 0. What is a?
0, 1
Let j(g) be the second derivative of -2*g**7/63 - 4*g**6/15 - 3*g**5/5 - 4*g**4/9 - 15*g. Suppose j(l) = 0. What is l?
-4, -1, 0
Suppose 0 = -n - 5*a, -n - 4*a = -0*n - 1. Suppose 4*h - n*m = 5*h, -2*h = m - 9. Factor q**4 + 3*q**4 - 2*q**4 + 2*q**h.
2*q**4*(q + 1)
Let w(y) = y**2 + 18*y + 17. Let u be w(-17). Factor -1/4*q**3 + u*q + 1/2*q**2 + 0.
-q**2*(q - 2)/4
Let c(p) be the second derivative of -3*p**5/20 + p**4/4 + 4*p**3 - 18*p**2 + 22*p. Factor c(f).
-3*(f - 2)**2*(f + 3)
Suppose 5*k = -4*d, 3*d + 0*d = k + 19. Let j be 6/15*(-2)/k. Suppose -1/5*i**5 - j*i**4 + 1/5*i**3 + 0*i + 0 + 1/5*i**2 = 0. What is i?
-1, 0, 1
Let j = 105 + -75. Let -7*x - 49*x - 6 - j + 4 - 12*x**2 = 0. Calculate x.
-4, -2/3
Let b(j) = j**2 - j. Let l(s) = 0*s**2 - 5*s - 1 - 4*s**2 + 7*s**2 + 3*s**2. Let i(n) = 11*b(n) - 2*l(n). Factor i(d).
-(d - 1)*(d + 2)
Factor 2*s**2 + 1 - 9/2*s.
(s - 2)*(4*s - 1)/2
Suppose 2*c = -3*c + 10. Factor 2*w - w**c - 19 + 19.
-w*(w - 2)
Let w(l) be the third derivative of l**7/525 - l**5/50 + l**4/30 - 9*l**2. Factor w(y).
2*y*(y - 1)**2*(y + 2)/5
Find a such that 0 - 2/5*a + 2/5*a**5 - 4/5*a**4 + 4/5*a**2 + 0*a**3 = 0.
-1, 0, 1
Let d(j) be the second derivative of -1/10*j**6 - 1/14*j**7 + 4*j + 0*j**2 + 3/20*j**5 + 1/4*j**4 + 0 + 0*j**3. Determine u so that d(u) = 0.
-1, 0, 1
Let h = -7 + 12. Let g(f) be the third derivative of 0 - 1/150*f**h + f**2 - 1/30*f**4 + 0*f**3 + 0*f. Factor g(m).
-2*m*(m + 2)/5
Let d(m) be the second derivative of 3*m**5/70 + m**4/42 - 8*m**3/21 + 4*m**2/7 - 25*m. Factor d(w).
2*(w - 1)*(w + 2)*(3*w - 2)/7
Find q, given that 1/4*q**3 - 5/4*q**2 + 0*q + 0 = 0.
0, 5
Factor -1/4*i**2 - 3/4 + 5/4*i - 1/4*i**3.
-(i - 1)**2*(i + 3)/4
Suppose -9*z - 72 = -6*z. Let f be z/40 - 38/(-30). Factor -2/3*s - f*s**4 + 4/3*s**3 - 2/3 + 4/3*s**2 - 2/3*s**5.
-2*(s - 1)**2*(s + 1)**3/3
Let l(j) = -j + 3. Let w be l(0). Let p = 5 - w. Solve -s**p + s**4 + 11 - 11 = 0.
-1, 0, 1
Let i(t) be the first derivative of -t**6/3 + 12*t**5/5 - 6*t**4 + 16*t**3/3 + 31. Factor i(n).
-2*n**2*(n - 2)**3
Let h(z) be the second derivative of z**7/252 - z**5/40 - z**4/36 + 17*z. Factor h(i).
i**2*(i - 2)*(i + 1)**2/6
Suppose -21 + 7 = -7*w. Let q(n) be the first derivative of 0*n**2 + 0*n - w - 1/3*n**6 + 1/2*n**4 - 2/5*n**5 + 2/3*n**3. Determine u so that q(u) = 0.
-1, 0, 1
Let c(s) be the second derivative of -2*s**6/165 - 3*s**5/110 + s**4/66 + s**3/11 + s**2/11 - 10*s. Suppose c(a) = 0. Calculate a.
-1, -1/2, 1
Factor 33*l**2 + 10*l - 32 - 29*l**2 + 18*l.
4*(l - 1)*(l + 8)
Let t(y) = 2*y**2 - 3*y + 5. Let l = 16 - 11. Let c(d) = -3*d**2 + 3*d - 6. Let q(j) = l*c(j) + 6*t(j). Factor q(z).
-3*z*(z + 1)
Let x = -11/5 - -107/35. Let 0 - x*b + 4/7*b**2 + 2/7*b**3 = 0. What is b?
-3, 0, 1
Let s(x) be the third derivative of 0 - 5*x**2 + 1/66*x**4 + 0*x + 0*x**3 - 1/330*x**5. Factor s(b).
-2*b*(b - 2)/11
Let t(v) be the third derivative of -1/18*v**3 - 25/72*v**6 + 0*v - 5/24*v**4 + 3*v**2 - 5/12*v**5 + 0. Factor t(f).
-(5*f + 1)**3/3
Factor -1471 + 1471 - 5*h**2.
-5*h**2
Let b be (4/20*5)/((-12)/(-9)). Let x(m) be the first derivative of -3/5*m**5 + 0*m**2 + b*m**4 + 0*m + m**3 - 3 - 1/2*m**6. Factor x(v).
-3*v**2*(v - 1)*(v + 1)**2
Let y(p) = -7*p - 154. Let u be y(-22). Determine q, given that 2/9*q**3 + 4/9*q**2 + 2/9*q + u = 0.
-1, 0
Factor -2/15*a**5 - 2/15*a + 0 + 0*a**4 + 0*a**2 + 4/15*a**3.
-2*a*(a - 1)**2*(a + 1)**2/15
Let t = 29 + -28. Let k(q) = -2*q**4 - 5*q**3 - 9*q**2 - 11*q + 5. Let h(v) = -v**3 - v**2 + v - 1. Let c(r) = t*k(r) + 5*h(r). Factor c(o).
-2*o*(o + 1)**2*(o + 3)
Suppose 18*w = 8*w. Determine m so that 0*m + w + 4/13*m**2 + 0*m**4 - 2/13*m**5 + 6/13*m**3 = 0.
-1, 0, 2
Let s = -44533/2378 + 559/29. Let b = s + -2/41. Determine p, given that -b*p**2 + 1/2*p + 0 = 0.
0, 1
Let j = 9 + -5. Let f(n) be the first derivative of 0*n + 1 - 2/15*n**5 - 1/12*n**j + 0*n**2 - 1/18*n**6 + 0*n**3. Factor f(d).
-d**3*(d + 1)**2/3
Determine a so that -2*a**3 - 6/5*a**2 + 8/5*a**4 - 2/5 + 2*a = 0.
-1, 1/4, 1
Let a(h) be the first derivative of -h**5/270 + h**4/108 + 2*h**2 - 3. Let z(w) be the second derivative of a(w). Factor z(r).
-2*r*(r - 1)/9
Let j be 1/(-6) - (-245)/30. Suppose -j = 5*y - 28. Factor -a**4 + 7*a + 5*a**5 - a**y + 2*a**2 - 4*a**5 - 8*a.
a*(a - 1)**3*(a + 1)
Let q(l) be the first derivative of l**4/10 - 2*l**3/15 + 4. What is a in q(a) = 0?
0, 1
Let o(n) = -n**3 + 7*n**2 - n + 10. Let u be 37/5 - (-2)/(-5). Let g be o(u). Factor -g*b**2 + 2*b**2 + 0*b + 2*b.
-b*(b - 2)
Suppose -5*n = -2*h - 0*n + 10, -n = -4*h + 20. Suppose 56 = h*x + 2*o, 0*o + 13 = x + o. Factor -8/5*u**2 - 18*u**4 + 0*u + 48/5*u**3 + x*u**5 + 0.
2*u**2*(u - 1)*(5*u - 2)**2/5
Let w(y) = -2*y + 16. Let s be w(7). Find d, given that -16/3 - 20*d**s + 6*d**3 + 56/3*d = 0.
2/3, 2
Let h(k) be the second derivative of -k**5/230 + k**4/138 + 4*k**3/69 - 4*k**2/23 - 13*k. Factor h(w).
-2*(w - 2)*(w - 1)*(w + 2)/23
Let j(c) = -c - 8. Let u be j(-4). Let h be 0 + 3 + 10/u. Find g, given that 3/2*g**3 - h*g**2 - 3/2*g**4 + 1/2*g**5 + 0 + 0*g = 0.
0, 1
Let w = -546 + 548. Solve 0 + 9/8*s**w - 3/8*s + 3/8*s**4 - 9/8*s**3 = 0.
0, 1
Let g be (-21)/6*40/(-14). Let d = g + -8. Factor 0*c + 0*c**3 + 1/2*c**d - 1/4 - 1/4*c**4.
-(c - 1)**2*(c + 1)**2/4
Let g = 5 - 6. Let k(j) = -j**3 + 4*j**2 - j - 2. Let z be k(4). Let n(s) = 8*s**2 - 4*s + 6. Let f(u) = -u**2 + u - 1. Let w(h) = g*n(h) + z*f(h). Factor w(p).
-2*p*(p + 1)
Suppose 0 = -0*h + 5*h + 10. Let i be h/(-16)*(1 + 1). Factor -1/4*m**5 + 0*m + 0 - 1/4*m**2 + 1/4*m**3 + i*m**4.
-m**2*(m - 1)**2*(m + 1)/4
Suppose 5*d - y - 106 = 0, 2*d + y = -4*y + 37. Let c be 68/42 + (-6)/d. Suppose -4/3*n**3 + c*n - 2/3*n**2 + 0 + 2/3*n**4 = 0. What is n?
-1, 0, 1, 2
Let p be ((-1)/(-7)*2)/((-18)/(-42)). Determine f so that p*f**2 + 2/3 + 4/3*f = 0.
-1
Suppose 0 = -5*h - 2*r + 20, -2*h = -5*h - 4*r + 26. Find t such that 1 + 0 + 3*t**h + 0*t**2 + 3*t - 7 = 0.
-2, 1
Let i(r) = r**3 - 3*r + 2. Let j be i(2). Let c be (-8)/(-5) + 2/5. Factor -3*m**c + j*m**3 + m**2 - 3*m**4 + m**4.
-2*m**2*(m - 1)**2
Let d be 3/7*(-8 - -9). Let d*g**2 + 0 + 3/7*g = 0. Calculate g.
-1, 0
Let h = -17 + 15. Let i = h - -4. Solve 0*p - 2/5*p**i + 0 = 0.
0
Find g such that 0*g**2 - 2*g**2 - 7*g**5 + 6*g**5 + 6*g**3 - 7*g**5 = 0.
-1, 0, 1/2
Let k(v) = -3*v**3 - 7*v**2 + 2*v - 6. Let j(n) = -n**3 - 2*n**2 + n - 2. Let l(q) = 14*j(q) - 4*k(q). Factor l(u).
-2*(u - 1)**2*(u + 2)
Let t(b) be the first derivative of 1/6*b**2 + 1/9*b**3 - 1/12*b**4 - 1/3*b - 1. Determine p, given that t(p) = 0.
-1, 1
Let d(n) be the second derivative of -1/24*n**3 + 1/24*n**4 - 2*n - 1/80*n**5 + 0*n**2 + 0. Solve d(q) = 0.
0, 1
Let y(s) be the second derivative of s**4/6 - s**3/3 - 6*s**2 - 2*s. What is d in y(d) = 0?
-2, 3
Suppose -6 = q - 4*s, -17 = -4*q - s + 10. Suppose j + q = 4*j. Let 2/7*l + 0 - 2/7*l**j = 0. Calculate l.
0, 1
Let t(l) be the s