d**2 - 1/5*d**4 + 0*d**z = 0. What is d?
-2, 0, 1
Let c(h) = 2*h**3 - 5*h**2 + 6*h - 4. Let g be c(2). Let f(k) be the second derivative of -1/100*k**5 + 0*k**2 + 1/30*k**3 + 0 + 0*k**g + k. Factor f(x).
-x*(x - 1)*(x + 1)/5
Factor 58/5*l**3 + 4/5 + 18/5*l**4 + 6*l + 66/5*l**2.
2*(l + 1)**3*(9*l + 2)/5
Let a(i) be the first derivative of 1/3*i**3 + 1/6*i**4 + 0*i**2 + 2*i - 4. Let y(t) be the first derivative of a(t). Solve y(b) = 0.
-1, 0
Let n(h) be the third derivative of h**9/37800 + h**8/16800 - h**7/6300 - h**6/1800 - h**4/12 - 4*h**2. Let d(f) be the second derivative of n(f). Factor d(q).
2*q*(q - 1)*(q + 1)**2/5
Let 0*l**2 + 0*l - 1/10*l**4 + 1/10*l**3 + 0 = 0. What is l?
0, 1
Let u = -5/59 + 84/295. Suppose -u*d**2 - 4/5*d - 4/5 = 0. What is d?
-2
Let a = 41/286 - -1/26. Suppose -2/11*w**4 + 0*w**2 + 4/11*w + a - 4/11*w**3 = 0. Calculate w.
-1, 1
Let r = 64 - 60. Factor -2/7*g**r + 0 - 12/7*g**3 - 24/7*g**2 - 16/7*g.
-2*g*(g + 2)**3/7
Let n(b) = -3*b**4 - b**3 + 5*b**2 + 11*b + 8. Let a(t) = -3*t**4 + 6*t**2 + 12*t + 9. Let y(s) = 5*a(s) - 6*n(s). Suppose y(w) = 0. What is w?
-1, 1
Let b be 262/(-3) + (1 - -1). Let s = b + 86. Factor s*y - 2/3*y**3 - 2/3*y**2 + 2/3*y**4 + 0.
2*y*(y - 1)**2*(y + 1)/3
Let b(x) = -x**3 - x + 2. Let p be -2 + (-1 + 4 - 1). Let q be b(p). Find n such that 2/3*n**3 + 2/3 + q*n + 2*n**2 = 0.
-1
Determine p so that p**4 + 2*p**3 + 2212*p + p**2 - 2212*p = 0.
-1, 0
Let g = 30/7 + -76/21. Let h(j) be the second derivative of -j + g*j**3 - 2*j**2 - 1/12*j**4 + 0. Factor h(s).
-(s - 2)**2
Let h(c) be the first derivative of c**7/245 + c**6/60 + c**5/42 + c**4/84 - c**2/2 + 1. Let y(r) be the second derivative of h(r). Solve y(l) = 0.
-1, -1/3, 0
Let t(d) be the first derivative of -d**3/15 + d**2/10 + 4. Factor t(i).
-i*(i - 1)/5
Let s be (-302)/4 + 17/(-34). Let k be s/(-180) - (-6)/(-27). Suppose -k*w**2 - 2/5 + w - 2/5*w**3 = 0. Calculate w.
-2, 1/2, 1
Let u = 732 - 3654/5. Factor 0*y**2 - 6/5*y**3 + 3/5 + u*y - 3/5*y**4.
-3*(y - 1)*(y + 1)**3/5
Suppose -28 = -5*a - 8, 5*z + 1 = 4*a. Let m(b) be the first derivative of -1/8*b**4 + 0*b - 1/12*b**6 + 0*b**2 - 1/5*b**5 + 0*b**3 - z. Factor m(n).
-n**3*(n + 1)**2/2
Let y(p) = -2*p**4 - 6*p**3 - 2*p**2 - 6*p - 4. Let k = 12 - 17. Let d(u) = 2*u**4 + 6*u**3 + u**2 + 7*u + 5. Let r(f) = k*y(f) - 4*d(f). Factor r(n).
2*n*(n + 1)**3
Let t(k) be the third derivative of 0*k + 1/75*k**5 + 0 + 1/300*k**6 + 2*k**2 + 1/60*k**4 + 0*k**3. Factor t(o).
2*o*(o + 1)**2/5
Let d(a) be the first derivative of 2*a**6/3 - 8*a**5/5 + a**4 + 3. Find m, given that d(m) = 0.
0, 1
Let v(q) be the third derivative of q**6/165 + q**5/110 - q**4/132 + 45*q**2. Solve v(h) = 0 for h.
-1, 0, 1/4
Let p(k) be the third derivative of -k**8/672 - 2*k**7/315 - k**6/360 + k**5/30 - k**4/12 - 2*k**2. Let n(v) be the second derivative of p(v). Solve n(b) = 0.
-1, 2/5
Let h(z) = -z**2 + 6*z + 3. Let s be h(6). Suppose -4*p + 3*u + 8 = 0, -1 = -2*p - u + 3. Factor 476/5*y**p - 98*y**s - 152/5*y + 16/5.
-2*(5*y - 2)*(7*y - 2)**2/5
Let y(t) be the first derivative of 4*t**3/21 + 2*t**2/7 - 4. Let y(u) = 0. What is u?
-1, 0
Suppose 3*u + 2*u = 15. Let x be 3/u + (-1)/2. Factor x*b + 0 + 1/2*b**2.
b*(b + 1)/2
Factor -21*b**2 + 4*b**3 + 6*b**3 + 8*b**3 - 3*b**4 + 9*b - 3*b**3.
-3*b*(b - 3)*(b - 1)**2
Let l(b) = -b**3 + 4*b**2 + 3*b. Let o be l(-2). Let q be o/10 - 6/(-30). Factor -6/7*h**q - 4/7*h + 2/7.
-2*(h + 1)*(3*h - 1)/7
Suppose 2/13*m**2 + 6/13*m + 0 = 0. Calculate m.
-3, 0
Let s be (0/(-1))/(6/(-3)). Factor -5 - 3 + s*q**2 - 4*q - 2*q**2 + 6.
-2*(q + 1)**2
Let g(c) be the second derivative of -5/6*c**3 + c + 1/2*c**2 + 1/3*c**4 + 0. Suppose g(f) = 0. What is f?
1/4, 1
Let c be (320/(-45))/4 - -2. Suppose -4/9*n**2 - 4/9*n**3 + 2/3*n**4 - 2/9 + 2/3*n - c*n**5 = 0. What is n?
-1, 1
Let u = 546 - 546. Factor -1/3*w**3 + 0*w + u + 1/3*w**2.
-w**2*(w - 1)/3
Let q(i) be the second derivative of -3*i**6/40 + 33*i**5/80 - 15*i**4/16 + 9*i**3/8 - 3*i**2/4 - 23*i. Find u, given that q(u) = 0.
2/3, 1
Let f(k) be the third derivative of -2*k**7/735 - k**6/105 + k**4/21 + 2*k**3/21 - 14*k**2. Factor f(i).
-4*(i - 1)*(i + 1)**3/7
Let v(q) = q**4 + q**3 - q**2 - 1. Let f(k) = -3*k**4 - 4*k**3 + 2*k**2 + 2*k + 3. Let z(m) = -f(m) - 2*v(m). Factor z(s).
(s - 1)*(s + 1)**3
Let k(p) be the third derivative of p**6/24 - 5*p**4/8 - 5*p**3/3 - 3*p**2. Let k(i) = 0. What is i?
-1, 2
Let i be 14/(-98) - 12171/(-35). Let x = i + -346. Suppose 12/5*u**3 - x + 24/5*u - 2/5*u**4 - 26/5*u**2 = 0. Calculate u.
1, 2
Let r(j) be the first derivative of 2/21*j**3 + 1/14*j**4 + 0*j - 2/35*j**5 - 1/7*j**2 - 1. Determine u so that r(u) = 0.
-1, 0, 1
Let p(d) be the second derivative of -1/10*d**6 + 0*d**2 + 2*d + 0*d**3 + 3/10*d**5 + 0 - 1/4*d**4. Solve p(r) = 0 for r.
0, 1
Suppose -3*r + 3*y - 5 + 29 = 0, 2*y = -5*r + 5. Factor 0 + 4/3*p**r + 0*p**2 - 4/3*p.
4*p*(p - 1)*(p + 1)/3
What is v in -4*v**3 - v + v**3 - 3 + 6*v**2 + 4*v**3 - 3*v**2 = 0?
-3, -1, 1
Let y be 4 + (-1 - (-241)/(-80)). Let a = y - -13/16. Factor -2/5*o**4 + 2/5*o**5 - a*o**3 + 2/5*o - 2/5 + 4/5*o**2.
2*(o - 1)**3*(o + 1)**2/5
Let l(a) = -31*a**3 - a**2 - a - 1. Let y be l(-1). Factor -y*w**4 - 120*w**3 - 3*w**5 - 127*w**2 - 132*w - 96 - 113*w**2 - 108*w.
-3*(w + 2)**5
Let p(n) be the third derivative of n**6/540 - n**5/45 + n**4/9 - 8*n**3/27 - 3*n**2. Find h such that p(h) = 0.
2
Let f(r) be the second derivative of -r**6/6 - r**5/2 - 5*r**4/12 - r. Suppose f(q) = 0. What is q?
-1, 0
Let z(x) be the second derivative of 0 - 6*x + 1/28*x**7 - 1/4*x**4 + 0*x**5 + 1/10*x**6 + 0*x**2 - 1/4*x**3. Factor z(g).
3*g*(g - 1)*(g + 1)**3/2
Let l be ((4 - 0) + -3)*20/35. Factor -2/7 - 4/7*i**3 + 2/7*i**5 + l*i**2 - 2/7*i**4 + 2/7*i.
2*(i - 1)**3*(i + 1)**2/7
Let c(h) be the second derivative of 0*h**3 + 0 - 1/30*h**6 - 1/20*h**5 + 0*h**2 + 0*h**4 - 3*h. Factor c(v).
-v**3*(v + 1)
Suppose -2 = -5*s + 8. Suppose -s*j + 9 = j. What is o in -o - 2*o**4 + 3*o**5 + 3*o**j - 5*o**3 + 7*o**4 - 6*o**2 + 1 = 0?
-1, 1/3, 1
Factor 5*f**3 - f - 3*f**3 - 2*f - 3*f - 4.
2*(f - 2)*(f + 1)**2
Factor -67 + 9*r - 29*r - r**2 - 33.
-(r + 10)**2
Factor 3*n**3 - n**4 - 2*n**3 - 2*n**3.
-n**3*(n + 1)
Let f = -3605/9 + 401. Let v = 77/111 - 1/37. Determine k so that -f - v*k - 2/9*k**2 = 0.
-2, -1
Let x = -45 + 45. Factor -2/3*k**2 - 2/3*k**5 + x*k + 2/3*k**3 + 0 + 2/3*k**4.
-2*k**2*(k - 1)**2*(k + 1)/3
What is m in 9 - 226*m**2 + 170*m**2 + 18*m - 1 = 0?
-1/4, 4/7
Let n(y) be the second derivative of -y**4/54 - 2*y**3/27 + y**2/3 + 9*y. Factor n(z).
-2*(z - 1)*(z + 3)/9
Let j = -3 + 3. Let d(m) be the third derivative of -1/540*m**6 - 2*m**2 + j + 0*m**3 - 1/135*m**5 + 0*m - 1/108*m**4. Let d(g) = 0. Calculate g.
-1, 0
Let l = 9/5 + -238/135. Let u(h) be the second derivative of 2/9*h**2 + 0 - 1/54*h**4 - l*h**3 - h. Factor u(n).
-2*(n - 1)*(n + 2)/9
Let x(z) be the first derivative of z**8/420 - z**7/70 + z**6/45 + z**3 + 2. Let q(k) be the third derivative of x(k). Factor q(n).
4*n**2*(n - 2)*(n - 1)
Let u(a) be the first derivative of -4*a**3/9 + 2*a**2 - 8. Determine f, given that u(f) = 0.
0, 3
Suppose -4*o + 18 = 2*t + 4, 0 = -5*t + 3*o + 87. Let s = 17 - t. Solve 0 + 2/9*a**s - 2/9*a = 0 for a.
0, 1
Suppose 0 = 3*k - 1 - 11. Factor 6*z**2 - z - 3*z**k - z**4 + 3*z - 2*z**5 - 2*z**2.
-2*z*(z - 1)*(z + 1)**3
Let h = -2/301 - -2131/3612. Let o(x) be the first derivative of -7/6*x**2 - 2/3*x + 3 + h*x**4 + 2/9*x**3. Find m, given that o(m) = 0.
-1, -2/7, 1
Suppose 63 - 203 = -5*u. Determine y, given that -12 - u*y + 36*y**2 + 14 - 10 = 0.
-2/9, 1
Let i(h) = h + 11. Let u be i(-6). Factor v - 4*v**5 - v - 2*v**4 + 2*v**u + 4*v**3.
-2*v**3*(v - 1)*(v + 2)
Let q(f) = f**3 + 3*f**2 - 2. Let d be q(-2). Suppose -448*c**3 + 53*c**4 + 45*c**4 + 32 + 588*c**d - 256*c + 36*c**2 = 0. What is c?
2/7, 2
Let j = -18 - 0. Let p be 9/(j/4) + 2. Let 0*i**2 + p - 2/11*i**3 + 0*i = 0. What is i?
0
Suppose -2*x + 4*o = 14, 7*x + 5*o = 4*x + 34. Factor 3*d**2 + 2*d**3 - 5*d**2 + x*d**2.
d**2*(2*d + 1)
Let a(s) be the third derivative of 25*s**8/504 - s**7/7 - s**6/180 + 41*s**5/90 - 2*s**4/3 + 4*s**3/9 + 11*s**2. Let a(k) = 0. What is k?
-1, 2/5, 1
Let p(l) be the third derivative of l**6/12 - 31*l**5/90 + 5*l