uppose 0*d - 1/2*d**4 - 1/2*d**o + 0 + d**3 = 0. What is d?
0, 1
Suppose -17 = -4*s - 9. Let a(i) be the first derivative of 5*i**s + 1/2*i**4 + 8/3*i**3 + 2 + 4*i. Find j such that a(j) = 0.
-2, -1
Let a(h) = -4*h + 15. Let s be a(3). Determine z so that -7/3*z**2 - 5/3*z - 1/3 - z**s = 0.
-1, -1/3
What is c in -c + 3*c**2 + 3*c**2 - 7*c**2 = 0?
-1, 0
Let -14 + 3*y + 5*y**2 - 17 + 7*y + 16 = 0. What is y?
-3, 1
Let a(w) = -w**3 - 6*w**2 - 2*w - 10. Let i be a(-6). Let v(h) be the second derivative of -7/20*h**5 + 0 - 3*h + 7/6*h**3 - h**i + 1/6*h**4. Factor v(j).
-(j - 1)*(j + 1)*(7*j - 2)
Let g(d) be the third derivative of -d**8/84 - 4*d**7/49 - 5*d**6/21 - 8*d**5/21 - 5*d**4/14 - 4*d**3/21 + 6*d**2. Determine u so that g(u) = 0.
-1, -2/7
Let c(j) = -j**3 + j**2 + j. Let z(u) = -2*u**3 + 11*u**2 + 5*u. Let y(d) = 5*c(d) - z(d). Factor y(n).
-3*n**2*(n + 2)
Let b = 63/2 - 94/3. Let d(y) be the first derivative of 3/8*y**2 - 1/2*y + b*y**3 - 3/16*y**4 + 2. Determine o, given that d(o) = 0.
-1, 2/3, 1
Suppose 4*c + 6 = 6. Let w(x) be the second derivative of 0*x**3 + c*x**5 + 0 - 2*x + 1/3*x**4 - x**2 - 1/15*x**6. Determine h so that w(h) = 0.
-1, 1
Let b(a) be the first derivative of -a**6/120 - 3*a**5/40 + a**4/2 + 11*a**3/3 - 7. Let q(y) be the third derivative of b(y). Determine m, given that q(m) = 0.
-4, 1
Let g(f) be the second derivative of 0 + 0*f**3 + 3*f + 0*f**2 + 3/40*f**5 - 1/8*f**4. Solve g(b) = 0 for b.
0, 1
Let x = -5/59 + 187/118. Factor -1 - x*j - 1/2*j**2.
-(j + 1)*(j + 2)/2
Let b(j) = -j**3 + 7*j**2 - 14*j + 10. Let z be b(4). Suppose -t - 3/2 - 1/6*t**z = 0. What is t?
-3
Let f(l) be the second derivative of l**5/110 + l**4/66 - 5*l. Factor f(q).
2*q**2*(q + 1)/11
Factor -3 + 5 - k**2 - 2*k + 3*k + 0.
-(k - 2)*(k + 1)
Let v be (-24)/(-56)*4/6. Factor -2/7*b**4 + 8/7*b + 8/7*b**3 - 12/7*b**2 - v.
-2*(b - 1)**4/7
Let f(j) be the first derivative of 1/24*j**6 - 1/10*j**5 + 0*j + 0*j**4 - 1/8*j**2 + 1/6*j**3 - 3. Solve f(k) = 0 for k.
-1, 0, 1
Let h(a) = 3*a**2 + 3*a - 2. Let o(b) = -7*b**2 - 7*b + 5. Let c = 23 + -38. Let n be c/3 + 0/(-2). Let j(r) = n*h(r) - 2*o(r). Factor j(d).
-d*(d + 1)
Let w(i) = 9*i**2 - 12*i + 9. Let r = 22 - 7. Let j(q) = -q**2 + q. Let p(y) = r*j(y) + w(y). Factor p(d).
-3*(d + 1)*(2*d - 3)
Let k(o) = o**3 + o + 1. Let d(h) = -7 + 7 + 2*h**3 + 3*h**2 - 11*h + 0*h**3. Let i(r) = 2*d(r) + 4*k(r). Factor i(a).
2*(a - 1)*(a + 2)*(4*a - 1)
Let b(v) = -v**3 - 6*v**2 - 6*v - 4. Let x be b(-5). Let h(i) be the first derivative of -2/3*i**3 + x - 2*i - 2*i**2. Factor h(j).
-2*(j + 1)**2
Determine u so that -10*u**2 + 5*u**2 - 9*u**3 + 11*u**2 - 3*u**4 + 6*u**2 = 0.
-4, 0, 1
Let u(g) = g**2 - 8*g + 7. Let s be u(7). Let k be -1 + (-2 - s) + 7. Factor j**4 - 5*j**4 + 3*j**k - 5*j**2 + 4*j**3 + 2*j.
-j*(j - 2)*(j - 1)**2
Factor 0*q + 6/5*q**2 + 2/5*q**4 + 0 + 8/5*q**3.
2*q**2*(q + 1)*(q + 3)/5
Let i be 2/(-6) + 26/6. Suppose 3*h = i*h. Factor -2/5*t + 0 + 2/5*t**3 + h*t**2.
2*t*(t - 1)*(t + 1)/5
Suppose 2*u = 7 - 1. Suppose 3*h**3 + 3*h**2 + 9*h - u + 0*h - 21*h**2 + 9*h**2 = 0. Calculate h.
1
Let j = -61 - -64. Let d(k) be the first derivative of 2/45*k**5 + 4/9*k**2 + 2/9*k - j + 2/9*k**4 + 4/9*k**3. Factor d(b).
2*(b + 1)**4/9
Let r = -1/182 - -115/4368. Let d(p) be the third derivative of 0 + 2*p**2 + 1/240*p**5 + 0*p + 1/24*p**3 - r*p**4. Suppose d(o) = 0. What is o?
1
Let x(f) be the first derivative of f**6/27 - 8*f**5/45 + 2*f**4/9 + 4*f**3/27 - 5*f**2/9 + 4*f/9 - 8. Factor x(s).
2*(s - 2)*(s - 1)**3*(s + 1)/9
Let r = 3/190 - -7/38. Factor 3/5*f**3 + r*f**4 - 3/5*f + 1/5*f**2 - 2/5.
(f - 1)*(f + 1)**2*(f + 2)/5
Let r(x) = x**3 + x**2 - x - 1. Let w(c) = -16*c**3 + 4*c**2 - 4*c + 12. Let z(o) = 12*r(o) + w(o). Factor z(m).
-4*m*(m - 2)**2
Let u be 3/6 + 60/8. Let l(t) = -29*t**4 - 8*t**3 + 29*t**2 + 3*t. Let x(z) = 44*z**4 + 12*z**3 - 44*z**2 - 4*z. Let m(h) = u*l(h) + 5*x(h). Factor m(f).
-4*f*(f - 1)*(f + 1)*(3*f + 1)
Let l(z) be the third derivative of -1/35*z**7 - 2*z**2 + 0 + 0*z**3 + 1/30*z**6 + 1/126*z**8 + 0*z**4 + 0*z - 1/90*z**5. What is s in l(s) = 0?
0, 1/4, 1
Let r(x) be the third derivative of x**5/90 + x**4/24 + x**3/18 + 7*x**2. Factor r(m).
(m + 1)*(2*m + 1)/3
Let p(c) be the second derivative of -c**7/210 - c**6/40 - c**5/20 - c**4/24 - c**2/2 + 3*c. Let t(s) be the first derivative of p(s). Factor t(o).
-o*(o + 1)**3
Let i = -17 + 17. Solve i*f**2 + 1/4*f + 0 - 1/4*f**3 = 0.
-1, 0, 1
Let n(y) be the third derivative of -y**6/24 + y**5/3 + 5*y**4/8 - 15*y**3 + 23*y**2. Determine f so that n(f) = 0.
-2, 3
Determine s so that 2 + 5/2*s**2 + 1/2*s**3 + 4*s = 0.
-2, -1
Let j be 2*(15/2)/(-5). Let t(l) = -l - 2. Let a be t(j). Let -a - p**4 + 4*p**4 + 2*p**3 - 2*p - 2*p**4 = 0. What is p?
-1, 1
Let y = 48 - 29. Suppose -2*b + y = 3*u + 3*b, 0 = -u + 2*b - 1. Find q such that 2*q**4 + 2*q**u + 21*q - 21*q = 0.
-1, 0
Let 0*m - 20*m + m**3 - 12 - 4*m**2 + 3*m**3 = 0. What is m?
-1, 3
Suppose 9 - 49 = -5*o. Let q = o + -4. Suppose q*b**2 + 0*b + 0 + 6*b**3 + 3*b**4 + 1/2*b**5 = 0. Calculate b.
-2, 0
Let t(v) = -v**2 - 5*v - 3. Let b be t(-3). Let p be (3 + -4)/(1/(-2)). Factor -3 + 4 + b - 1 - 12*z + 9*z**p.
3*(z - 1)*(3*z - 1)
Solve n + 0*n**2 - 2/3 - 1/3*n**3 = 0.
-2, 1
Let u be (-48)/(-18)*3/2. Suppose -1 + u - 6*g + 0*g + 3*g**2 = 0. What is g?
1
Suppose 5*y - 10 = 4*m - 6*m, y = -5*m + 2. Suppose 5 = -5*t + 30. Factor 2/3*g**4 + 0 - 1/3*g**3 - 1/3*g**t + 0*g**y + 0*g.
-g**3*(g - 1)**2/3
Let z be 232/672 - 1/3. Let b(s) be the second derivative of 2*s + 0*s**2 + 0*s**3 + 0 - z*s**7 + 1/24*s**4 + 1/40*s**5 - 1/60*s**6. Factor b(t).
-t**2*(t - 1)*(t + 1)**2/2
Let n(z) be the third derivative of 1/54*z**4 + 0 + 2*z**2 + 1/270*z**5 + 0*z + 1/27*z**3. What is t in n(t) = 0?
-1
Determine v, given that 4*v**4 - 6*v**5 - 4*v**3 - 4*v**2 + 12*v**5 - 2*v**5 = 0.
-1, 0, 1
Factor -3*m**2 + 3 + 0*m**2 + 9 - 12*m + 0*m**3 + 3*m**3.
3*(m - 2)*(m - 1)*(m + 2)
Let o(a) be the first derivative of 3*a**5/25 + 3*a**4/10 + a**3/5 - 11. Factor o(u).
3*u**2*(u + 1)**2/5
Factor 0 - 4/7*h**2 + 0*h - 18/7*h**3 - 2*h**4.
-2*h**2*(h + 1)*(7*h + 2)/7
Let c be 2*(3 + 58/(-4)). Let y = 71/3 + c. Solve 0 - 4/3*b - 38/3*b**4 - y*b**2 + 14/3*b**5 + 10*b**3 = 0 for b.
-2/7, 0, 1
Let q(h) be the second derivative of h**7/14 - 4*h**6/5 + 33*h**5/10 - 6*h**4 + 9*h**3/2 + 5*h. Factor q(f).
3*f*(f - 3)**2*(f - 1)**2
Let x(d) be the first derivative of d**8/10080 + d**7/5040 - d**6/2160 - d**5/720 - 4*d**3/3 - 2. Let h(y) be the third derivative of x(y). Factor h(r).
r*(r - 1)*(r + 1)**2/6
Let g(s) be the third derivative of s**10/378000 - s**8/50400 - s**5/60 - 3*s**2. Let q(a) be the third derivative of g(a). Factor q(y).
2*y**2*(y - 1)*(y + 1)/5
Let n = -1/39 + 6/65. Let k(u) be the third derivative of n*u**3 - u**2 + 0 + 0*u + 1/50*u**5 + 1/20*u**4 + 1/300*u**6. Factor k(s).
2*(s + 1)**3/5
Factor 2/17*k**2 + 0 - 2/17*k.
2*k*(k - 1)/17
Let o be 14/175 - 61/(-175). Factor -3/7*a**3 + 3/7*a + 3/7 - o*a**2.
-3*(a - 1)*(a + 1)**2/7
Let f = 156/233 - 2/699. Factor 4/3*m + f + 2/3*m**2.
2*(m + 1)**2/3
Let s be (-4)/16 - 1250/(-456). Let r = -22/19 + s. Factor -1/3*u**2 - r - 4/3*u.
-(u + 2)**2/3
Factor -57*l + 24 + 45*l + 42*l**2 - 9*l**3 - 48*l.
-3*(l - 2)**2*(3*l - 2)
Determine u so that 59*u**3 - 39*u**2 - 7*u**3 - u**2 - 16*u - 14*u**4 = 0.
-2/7, 0, 2
Let j(y) be the first derivative of 54*y**2 - 12*y - 1 + 4 - 81*y**3 + 3. Factor j(q).
-3*(9*q - 2)**2
Determine g so that 4/7 + 6/7*g**2 + 10/7*g - 2/7*g**4 - 2/7*g**3 = 0.
-1, 2
Factor -2/5*k**2 - 8/5 - 2*k.
-2*(k + 1)*(k + 4)/5
Let t be ((-72)/20)/(2/(-5)). Factor -8*u**2 + u**2 - t*u**3 - 4*u**5 - u**2 + 21*u**3.
-4*u**2*(u - 1)**2*(u + 2)
Let b(y) be the second derivative of -y + 1/21*y**3 + 3/70*y**5 + 0 - 1/7*y**2 + 5/42*y**4. Factor b(d).
2*(d + 1)**2*(3*d - 1)/7
Let n = -5 + 8. Suppose 2*a - n*a = -3. Suppose 1 + 7*b**4 + 0 + 5*b - 5*b**a - 9*b**2 + 1 = 0. Calculate b.
-1, -2/7, 1
Let g(q) be the second derivative of q**6/30 - q**5/20 - 5*q**4/12 + q**3/2 - q**2 - 10*q. Let d(n) = n**3 + 1. Let z(j) = -6*d(j) - 3*g(j). Factor z(l).
-3*l*(l - 1)**2*(l + 3)
Let i(h) be the first derivative of -3*h**4/28 + 2*h**3/7 - 6. Factor i(k).
-3*k**2*(k - 2)/7
Let d(s) be the secon