+ t = 0. What is t?
-1, 1/2, 1
Let c(s) = s**3 + s**2 - s - 5. Let b(x) = x + 1. Let p(q) = q**2 + 3*q + 3. Let k(j) = -4*b(j) + p(j). Let l(m) = c(m) - 4*k(m). Factor l(h).
(h - 1)**3
Let u(c) be the third derivative of c**5/40 - 17*c**4/8 + 289*c**3/4 - c**2 + 13. Factor u(l).
3*(l - 17)**2/2
Suppose -4*s + 46 = 2*c - 5*c, -4*s + 5*c = -42. Suppose s*d = 10*d + 12. Solve 0 + 77/4*f**d + 0*f + 49/4*f**5 + 8*f**3 + f**2 = 0 for f.
-1, -2/7, 0
Let z = -6 + 10. Let w be 2/z - (-8)/(-16). Suppose -1/2*l + w + 1/2*l**2 = 0. What is l?
0, 1
Factor 0 + 5/6*w + 5/3*w**2 + 5/6*w**3.
5*w*(w + 1)**2/6
Suppose -15 = 3*m, -5 = 3*g + 2*m + 2. Suppose 2 + g = n. Suppose 1/2*u**n + 0*u + 0 - u**2 = 0. What is u?
0, 2
Let u(g) = g**4 - g**3 + g - 1. Let z(n) = -3*n**4 - 2*n**3 - n**2 - n + 1. Let j(s) = -u(s) - z(s). Factor j(o).
o**2*(o + 1)*(2*o + 1)
Let c = -7 - -4. Let w(r) = -5*r**2 - 5*r + 3. Let o(b) = -26*b**2 - 26*b + 16. Let j(i) = c*o(i) + 16*w(i). Factor j(v).
-2*v*(v + 1)
Let -3/5*b**3 - 9/5*b**2 + 18/5*b + 24/5 = 0. Calculate b.
-4, -1, 2
Suppose 4*v + 7 = 5*d, -4*d + 3*d = 3*v - 9. Let w(a) be the first derivative of -1 - 2/7*a**2 + 2/21*a**d + 2/7*a. What is i in w(i) = 0?
1
Let h(w) be the first derivative of w**4/3 - 4*w**3/3 + 16*w/3 - 3. Factor h(n).
4*(n - 2)**2*(n + 1)/3
Let m(b) be the second derivative of b**6/30 + b**5/20 + 6*b. Factor m(w).
w**3*(w + 1)
Let x(n) be the second derivative of 20/3*n**3 + 25/3*n**4 + 2*n**2 + 0 - 8*n. Factor x(j).
4*(5*j + 1)**2
Solve -2/5*z**4 + 0*z**3 + 0 - 4/5*z + 6/5*z**2 = 0.
-2, 0, 1
Let c(y) be the second derivative of -y**8/336 + y**6/60 - y**4/24 + y**2 + 4*y. Let p(r) be the first derivative of c(r). Suppose p(t) = 0. Calculate t.
-1, 0, 1
Suppose x - 2*a - 32 = -2*x, -4*x - 3*a = -37. Find s, given that x*s**3 - 12*s**4 - 2*s**2 - 2*s**2 + 2*s**3 + 3*s**5 + s**5 = 0.
0, 1
Suppose 0 = 3*x - 3, 3*x - 1 = -2*h + 2. Suppose h = -14*a + 15*a. Factor 1/3*z**4 + 0 + a*z**3 + 0*z - 1/3*z**2.
z**2*(z - 1)*(z + 1)/3
Let s(u) be the first derivative of -2*u**5/15 + u**4/2 + 2*u**3/9 - u**2 + 38. Factor s(d).
-2*d*(d - 3)*(d - 1)*(d + 1)/3
Let i be (-12)/84*1/(-24). Let v(m) be the third derivative of 1/30*m**6 - m**2 + 1/15*m**5 - 1/4*m**4 + 0*m + 1/3*m**3 - 1/35*m**7 + 0 + i*m**8. Factor v(g).
2*(g - 1)**4*(g + 1)
Let o(y) be the second derivative of y**9/7560 + y**8/840 + y**7/252 + y**6/180 - y**4/3 - 6*y. Let s(i) be the third derivative of o(i). Factor s(w).
2*w*(w + 1)**2*(w + 2)
Solve 0 + 1/3*q**3 - 5/3*q**2 + q + 1/3*q**4 = 0.
-3, 0, 1
Let q(n) = n**3 - n**2 + n - 2. Let y be q(3). Determine z, given that -y*z - 6 - 2*z**2 + 10*z - z**2 = 0.
-2, -1
Let s = -6 - -4. Let v be -1*s/1*1. Suppose -3*g**5 + 12*g**3 + 5*g**5 - 2*g**2 + 2*g - 8*g**4 - 6*g**v = 0. Calculate g.
0, 1
Let o(k) be the first derivative of 0*k**2 + 0*k + 1/8*k**6 + 1/4*k**3 + 9/16*k**4 + 1 + 9/20*k**5. Solve o(y) = 0.
-1, 0
Let u(i) = i + 8. Let h be u(-5). Factor 2*c**2 - 4/3*c + 1/3 + 1/3*c**4 - 4/3*c**h.
(c - 1)**4/3
Let t(h) be the third derivative of h**6/480 + h**5/240 - h**4/24 - h**3/6 + 8*h**2. Factor t(m).
(m - 2)*(m + 1)*(m + 2)/4
Let z(y) be the third derivative of -y**8/1176 + y**7/735 + 19*y**2. Let z(r) = 0. What is r?
0, 1
Let j(x) = 14*x**5 + 31*x**4 + 21*x**3 + 3*x**2 + x + 1. Let g(m) = m**4 + m**3 + m**2 - m - 1. Let d(b) = -2*g(b) - 2*j(b). Factor d(i).
-4*i**2*(i + 1)**2*(7*i + 2)
Factor 0 - 22/7*a**4 + 72/7*a**2 - 48/7*a**3 + 0*a - 2/7*a**5.
-2*a**2*(a - 1)*(a + 6)**2/7
Let j(k) be the second derivative of k**5/10 - k**4/3 - 15*k. Determine b so that j(b) = 0.
0, 2
Let m(l) be the second derivative of -l**5/80 + l**4/12 - 5*l**3/24 + l**2/4 - 6*l. Factor m(a).
-(a - 2)*(a - 1)**2/4
Let h(n) be the second derivative of n**4/30 - 4*n**3/15 + 3*n**2/5 + 6*n. Factor h(s).
2*(s - 3)*(s - 1)/5
Let d be (-2)/((-1)/((-6)/4)). Let a = 5 + d. Determine f, given that -3*f**5 + 2*f**5 - a*f**4 - 4*f**3 + 4*f**3 - f**3 = 0.
-1, 0
Suppose -6*g + 2*g = 0. Suppose -3*v + 5*l = -0*v - 25, -5*v + 5 = -l. Factor -1/3*d**4 + 0*d - 1/3*d**3 + g + v*d**2.
-d**3*(d + 1)/3
Solve 3*k - 2*k + 3*k + 0*k - 2*k**2 = 0.
0, 2
Let y(f) be the first derivative of 0*f**3 - 1/5*f + 1/5*f**2 - 1/10*f**4 + 1/25*f**5 - 5. What is k in y(k) = 0?
-1, 1
Let y be 3/((-161)/(-14) - 4). Factor 2/5*f**2 - 4/5 - y*f.
2*(f - 2)*(f + 1)/5
Let c = -386/3 - -130. What is i in c - 2/3*i - 2/3*i**2 = 0?
-2, 1
Let a be 2/2 - -2 - 3. Suppose a*o - 24 = -4*o. Suppose -o*q + 2 + 0 - 3*q**2 + 0 - 5 = 0. Calculate q.
-1
Suppose 24 = 21*m - 18. Factor 0 - 1/4*z**3 - 1/2*z - 3/4*z**m.
-z*(z + 1)*(z + 2)/4
Let i(f) be the first derivative of f**8/10080 + f**7/1680 + f**6/720 + f**5/720 + 4*f**3/3 - 1. Let a(w) be the third derivative of i(w). Factor a(y).
y*(y + 1)**3/6
Let b(u) be the second derivative of u**7/84 + u**6/60 - u**5/20 - u**4/12 + u**3/12 + u**2/4 + 8*u. Factor b(h).
(h - 1)**2*(h + 1)**3/2
Suppose 7 - 9 = -y. Suppose c - y + 15 = 5*h, 3*c = 5*h - 9. Suppose 2*g**3 - 2*g + 2 - 7/2*g**c + 3/2*g**4 = 0. What is g?
-2, -1, 2/3, 1
Let d(q) = q**2 - 4*q + 4. Let x be d(4). Let l be 6/3*(-5)/(-15). Factor l - 2*j + 4/3*j**2 - 2*j**x + 2/3*j**5 + 4/3*j**3.
2*(j - 1)**4*(j + 1)/3
Let v be (-10)/(-35) + (-339)/1260. Let f(k) be the third derivative of 1/48*k**4 + 0*k - k**2 + 0*k**3 + v*k**5 + 1/240*k**6 + 0. Let f(u) = 0. Calculate u.
-1, 0
Suppose 8 + 0 = 2*u. Let a(s) = s**2 - 4*s - 2. Let n be a(5). Determine i so that 6*i**u + i**2 - n*i**3 - i**2 - 5*i**4 + 2*i**2 = 0.
0, 1, 2
Let f(i) = 14*i + 2*i**2 + 3 + 1 - i**2 - 7*i**2. Let h(x) = -x**2 + x. Let b(j) = f(j) - 8*h(j). Factor b(s).
2*(s + 1)*(s + 2)
Suppose 0 = -8*g - 8 + 24. Let 0*p + 0 - g*p**2 - 25/2*p**5 - 12*p**3 - 45/2*p**4 = 0. What is p?
-1, -2/5, 0
Suppose 3*s = 4*s. Let p(b) be the third derivative of 1/40*b**6 + 0*b + b**2 + 0*b**3 + s + 1/60*b**5 + 0*b**4. Factor p(w).
w**2*(3*w + 1)
Let z(h) = 13*h**3 + 6*h**2 - 19*h. Let f(v) = -9*v**3 - 4*v**2 + 13*v. Let g(n) = 7*f(n) + 5*z(n). Suppose g(b) = 0. What is b?
-2, 0, 1
Suppose -78*i + 80*i = 4. Solve -1/3*p - 2/3 + 1/3*p**i = 0 for p.
-1, 2
Let s be (2 + 0 + -1)*5. Let y(k) = -7 - s*k + 2*k**3 + 2 + 5*k**3. Let w(x) = 6*x**3 - 4*x - 4. Let a(z) = 5*w(z) - 4*y(z). Factor a(n).
2*n**3
Let x = 18 + -15. Let -8/3*h - 1/3*h**x + 4/3 + 5/3*h**2 = 0. Calculate h.
1, 2
Solve 0 - 1/6*w**2 - 1/3*w + 1/6*w**4 + 1/3*w**3 = 0 for w.
-2, -1, 0, 1
Let d(u) be the second derivative of u**10/7560 - u**9/1890 + u**8/1680 - 5*u**4/12 + u. Let l(c) be the third derivative of d(c). Factor l(y).
4*y**3*(y - 1)**2
Let t be (-10 + 3)*1*-1. Suppose -20 = 2*r - t*r. Factor -1 + j**4 - 2*j**r + 6*j**2 - 4*j**2.
-(j - 1)**2*(j + 1)**2
Let w(h) = 3*h**2 + 35*h + 16. Let t(s) = -s**2 - s + 1. Let o(k) = -4*t(k) + 2*w(k). Factor o(u).
2*(u + 7)*(5*u + 2)
Let x(v) be the first derivative of -v**9/1008 - v**8/560 + v**7/280 + v**6/120 - 8*v**3/3 - 5. Let r(l) be the third derivative of x(l). Factor r(c).
-3*c**2*(c - 1)*(c + 1)**2
Let b(a) be the first derivative of -7*a**5 + 95*a**4/4 + 10*a**3 + 25. Factor b(g).
-5*g**2*(g - 3)*(7*g + 2)
Let m(w) be the third derivative of w**7/210 - w**6/20 + 37*w**5/240 - 7*w**4/32 + w**3/6 + 9*w**2. Solve m(x) = 0 for x.
1/2, 1, 4
Let y = -15/91 + 4/13. Factor 3/7*q - y*q**2 - 2/7.
-(q - 2)*(q - 1)/7
Let i(f) be the third derivative of f**6/80 + f**5/30 + f**4/48 - 50*f**2. What is n in i(n) = 0?
-1, -1/3, 0
Let -7*v**3 - 147/2*v**2 - 2401/4 - 343*v - 1/4*v**4 = 0. Calculate v.
-7
Suppose -d + 24 = 5*d. Suppose 0 + 0*o**3 + 0*o**2 + 1/5*o**d + 0*o = 0. Calculate o.
0
Let l(r) = 2*r**2 + 6*r + 1. Let p be l(-3). Let j be (p/2)/(3 - 2). Find m, given that 0*m**2 + j*m**5 + 0*m**4 + 0*m - 1/2*m**3 + 0 = 0.
-1, 0, 1
Let a(f) = f + 4*f**3 + 9 - 3*f**3 + 2 + 8*f**2. Let k be a(-8). Factor -q**2 - 3 + 2*q + k.
-q*(q - 2)
Suppose g - 1 + 0 = v, 0 = -2*v + 2. Let p(n) = n. Let q be p(4). Factor -2*x**3 + 0*x + g*x**2 + 4*x**2 - q*x.
-2*x*(x - 2)*(x - 1)
Let y be (-9)/2*10/(-15). Let o(j) = 3*j**2 + 7*j - 2. Let a(t) = -3*t**2 - 6*t + 3. Let x(l) = y*o(l) + 4*a(l). Factor x(v).
-3*(v - 1)*(v + 2)
Find n such that 3*n**2 + 2*n**5 + 10*n + 2*n**4 - 12*n**3 - n**2 - 6 + 2*n**2 = 0.
-3, -1, 1
Factor -24/13*z**3 + 92/13*z**2 + 50/13 + 2/13*z