 = 0?
-2, -1
Suppose -5*h = -4 - 6. Suppose -2*r + 10 = -h*g, 0 = g + 4 - 2. Determine m so that 1/2*m**2 + 0*m + 0 - 3/2*m**r - 1/2*m**5 + 3/2*m**4 = 0.
0, 1
Suppose -t + 4 = -4*r + 2, 4*t + 2*r = 8. Solve -2/9*v + 0 - 2/9*v**3 - 4/9*v**t = 0.
-1, 0
Suppose -4 - 12*t + 142*t**2 + 7*t**4 - 96*t**2 - 8*t**3 - 25*t**3 - 4 = 0. What is t?
-2/7, 1, 2
Let w(v) be the third derivative of -v**8/672 + v**7/105 - v**6/80 + 24*v**2. Factor w(m).
-m**3*(m - 3)*(m - 1)/2
Let l(s) = 20*s**3 - 40*s**2 - 32*s + 28. Suppose -15 + 3 = -p. Let b(q) = -8*q**3 + 16*q**2 + 13*q - 11. Let n(y) = p*b(y) + 5*l(y). Factor n(g).
4*(g - 2)*(g - 1)*(g + 1)
Let f(x) be the third derivative of -x**7/1890 + 11*x**6/1080 - x**5/12 + 3*x**4/8 - x**3 + x**2 + 1. Factor f(v).
-(v - 3)**3*(v - 2)/9
Let n(i) be the third derivative of -i**5/360 + 17*i**2. Determine f so that n(f) = 0.
0
Factor -9*v**4 + 10*v**3 + 17*v**4 - 10*v + 0 - 5 - 3*v**4.
5*(v - 1)*(v + 1)**3
Let n(m) be the third derivative of -m**8/3360 + m**7/630 + m**4/24 + 6*m**2. Let s(t) be the second derivative of n(t). Factor s(c).
-2*c**2*(c - 2)
Let z be (7 - (-133)/(-15)) + 2. Find p such that 2/15*p + 0 - z*p**2 = 0.
0, 1
Let b = -9 + 15. Suppose -5*t = -3*t - b. Factor -3*p**2 + p + 7*p**2 - t*p**2.
p*(p + 1)
Let t(m) be the second derivative of -1/3*m**3 + 1/7*m**7 - 1/3*m**6 + 0 - m**2 + m**4 - 1/5*m**5 - 8*m. Factor t(h).
2*(h - 1)**3*(h + 1)*(3*h + 1)
Let c = -12 + 7. Let a(q) = q**2 + 6*q + 7. Let z be a(c). Determine u, given that 2/3*u**z + 2/3*u**3 + 0*u + 0 = 0.
-1, 0
Let z be 3/2 - (-764)/(-432). Let f = -1/54 - z. Solve 0 + c + c**2 + f*c**3 = 0 for c.
-2, 0
Let w(o) be the first derivative of -o**9/15120 + 2*o**3/3 + 3. Let u(k) be the third derivative of w(k). Let u(c) = 0. What is c?
0
Let z = -36 + 52. Let x = 23 - z. Suppose s - 10*s**2 - 34*s**3 - 2 + 26*s**4 - x*s**5 + 13*s**2 + 13*s**2 = 0. What is s?
-2/7, 1
Let o(u) = -3 - 2*u + 4*u - 1 + 3*u**2 - 3*u. Let i(c) = -18*c**2 + 7*c + 24. Let t(j) = 6*i(j) + 34*o(j). Factor t(m).
-2*(m - 2)*(3*m + 2)
Let n(k) be the second derivative of -k**7/5040 - k**6/2160 + k**5/720 + k**4/144 + k**3/3 + 3*k. Let b(u) be the second derivative of n(u). Factor b(v).
-(v - 1)*(v + 1)**2/6
Factor -r**4 - 2*r**2 + r**3 - r**4 - 5*r**3.
-2*r**2*(r + 1)**2
Let p(x) be the third derivative of x**9/7560 - x**7/630 + x**5/60 - x**4/24 - 6*x**2. Let o(j) be the second derivative of p(j). Solve o(z) = 0.
-1, 1
Factor 2/9*t + 2/3*t**3 + 0 + 2/9*t**4 + 2/3*t**2.
2*t*(t + 1)**3/9
Let z(j) be the first derivative of j**5/120 + 5*j**4/72 + 2*j**3/9 + j**2/3 + 3*j - 7. Let l(g) be the first derivative of z(g). Factor l(f).
(f + 1)*(f + 2)**2/6
Let j be (-5 - -5) + 2/9. Let n be ((-12)/(-15))/((-90)/(-25)). What is v in n - j*v**2 + 0*v = 0?
-1, 1
Let c = -4 + 9. Let k(y) be the second derivative of 0 - 2*y + 1/10*y**c + 0*y**3 + 0*y**2 - 1/15*y**6 + 0*y**4. Factor k(f).
-2*f**3*(f - 1)
Let p(c) be the first derivative of c**6/600 + c**5/100 + 4*c**3/3 - 4. Let q(j) be the third derivative of p(j). Factor q(t).
3*t*(t + 2)/5
Solve 15*a**2 + 5 + 39*a**3 - 14*a**3 + 33*a**4 - 25*a - 53*a**4 = 0.
-1, 1/4, 1
Suppose 7 = 3*v + 1. Let q = 4 - v. Let -2/5 - q*u - 6/5*u**3 - 14/5*u**2 = 0. Calculate u.
-1, -1/3
Let i be ((-1)/(-10))/((-6)/(-45)). Let d(o) be the first derivative of -i*o**2 + 1/6*o**3 + 2 + o. Factor d(l).
(l - 2)*(l - 1)/2
Suppose 5*x + 18 = -2*w, -x - 3*x = 2*w + 16. Let l be x + 11 - 3 - 1. Factor 0 - 1/2*m**3 + m**4 - 1/2*m**l + 0*m**2 + 0*m.
-m**3*(m - 1)**2/2
Suppose 30*l**3 - l**2 - 34*l**3 - l**2 + 6*l**2 = 0. Calculate l.
0, 1
Let o(a) = 77*a**5 - 127*a**4 - 47*a**3 - 7*a. Let x(h) = 38*h**5 - 63*h**4 - 23*h**3 - 3*h. Let m(t) = 3*o(t) - 7*x(t). Factor m(p).
-5*p**3*(p - 2)*(7*p + 2)
Let u(f) = -2*f**4 - 4*f**3 + 9*f**2 - 4*f + 1. Let r(k) = 11*k**3 - 8*k**3 - 3*k**3 - k**4 + k**2. Let g(j) = -6*r(j) + 2*u(j). What is c in g(c) = 0?
1
Let j(n) be the third derivative of -n**7/84 - n**6/20 - n**5/30 + 10*n**2. Determine y so that j(y) = 0.
-2, -2/5, 0
Let i be 51/(-7) + (-4)/(-14). Let k be 7/2*(-4)/i. Find g such that 4*g + k*g**2 - 4*g - 4*g = 0.
0, 2
Let k be (-147)/(-28) - (-2)/(-8). Suppose -3*d - k*w = -6*d + 31, 21 = -2*d - 5*w. Suppose -1/2*l**d + 1/2*l**3 + 0 - 1/2*l + 1/2*l**4 = 0. What is l?
-1, 0, 1
Factor 29 - 3*z + 0*z**2 - z**2 - 31.
-(z + 1)*(z + 2)
Let j(n) be the second derivative of n**5 - 11*n**4/3 + 4*n**3/3 - 4*n. Factor j(s).
4*s*(s - 2)*(5*s - 1)
Let v(u) be the first derivative of u**9/6048 + u**8/1680 - u**7/1680 - u**6/360 + u**3/3 + 2. Let s(h) be the third derivative of v(h). What is q in s(q) = 0?
-2, -1, 0, 1
Let t(y) be the first derivative of -y**4/4 - 2*y**3/3 - y**2/2 - 1. Let c(m) = -m**3 + m. Let j(k) = -c(k) - t(k). Determine p, given that j(p) = 0.
-1, 0
Let d(q) be the third derivative of -q**6/80 - q**5/8 - q**4/2 - q**3 + q**2. Let d(y) = 0. Calculate y.
-2, -1
Let b(v) be the second derivative of v**5/10 + 2*v**4/3 + 5*v**3/3 + 2*v**2 - v. Let b(t) = 0. What is t?
-2, -1
Let m be (-1 + 1)*(0 - 1). Suppose m + 4 = 2*s. Factor h**5 + 4/5*h**3 + 2*h**s + 2/5 - 12/5*h**4 - 9/5*h.
(h - 1)**3*(h + 1)*(5*h - 2)/5
Let i(t) be the first derivative of t**6/180 - 2*t**5/45 + 5*t**4/36 - 2*t**3/9 + t**2/2 + 1. Let c(u) be the second derivative of i(u). Factor c(k).
2*(k - 2)*(k - 1)**2/3
Let w(n) be the first derivative of n**4/28 - 2*n**3/7 + 9*n**2/14 - 7. Suppose w(p) = 0. What is p?
0, 3
Let z = -192 + 195. Let 3*c + 3/4*c**2 + 1 - 5/4*c**z = 0. Calculate c.
-1, -2/5, 2
Factor 0 - 1/3*g**2 - 1/3*g.
-g*(g + 1)/3
Let k = -1 - -3. Find q, given that 2*q + 1 + 2*q**k - 1 = 0.
-1, 0
Let d be -6 + 28/2 + (-2 - 2). Let n(g) be the second derivative of -1/9*g**3 + 2/3*g**2 - 1/18*g**4 + 0 + d*g. Solve n(y) = 0 for y.
-2, 1
Let b = -22 - -34. Suppose -x = 4*h - 8, 4*h + 0 = 4*x - b. Suppose 1 + v**x + 3*v**3 + 4*v + 0*v**2 + v**3 + 6*v**2 = 0. What is v?
-1
Let l(t) = 2*t**4 - t**2 + 3*t + 2. Let w(i) be the first derivative of 2*i**5/5 + 2*i**2 + 2*i + 10. Let s(k) = 4*l(k) - 3*w(k). Factor s(g).
2*(g - 1)**2*(g + 1)**2
Suppose -o - 5*k = 10, 0 = o - 0*k + k - 2. Suppose 0 = o*p - 0*p - 20. Factor 2*w**5 - 4*w**p + 5*w**3 - 5*w**3 - 2*w + 4*w**2.
2*w*(w - 1)**3*(w + 1)
Let c(p) be the second derivative of -4*p + 2/15*p**6 + 0*p**2 + 2/21*p**7 + 0 - 1/5*p**5 + 0*p**3 - 1/3*p**4. Factor c(g).
4*g**2*(g - 1)*(g + 1)**2
Suppose -18 = -5*o + 12. Let r(j) be the third derivative of 0*j + 1/60*j**5 + 0 - 2*j**2 + 1/120*j**o + 0*j**3 + 0*j**4. Find m, given that r(m) = 0.
-1, 0
Let x(b) = b**3 + 6*b**2 - 8*b - 1. Let i be x(-7). Let q**3 - 5*q**4 - 11*q + 4*q**4 + 2 + i*q + 3*q**2 = 0. What is q?
-2, 1
Let c be 35/(-50)*(1/(-7))/1. Let w(y) be the second derivative of 2*y + 0 + 0*y**2 - 1/10*y**4 + c*y**3 + 3/100*y**5. Determine d, given that w(d) = 0.
0, 1
Let i be (-1 + (-4)/(-2))*0. Let o be 6/20 - 12/(-24). Factor 2/5*c**3 + o*c**4 + 0*c**2 + i + 0*c.
2*c**3*(2*c + 1)/5
Determine r so that 6/13*r - 10/13*r**2 + 18/13 + 2/13*r**3 = 0.
-1, 3
Suppose 3*m - 44 = -38. Let j(q) be the second derivative of 0 - 4*q - 19/30*q**5 - 7/45*q**6 + 2/3*q**m - 1/9*q**3 - 5/6*q**4. Suppose j(u) = 0. Calculate u.
-1, 2/7
Let u(n) be the first derivative of -n**6/15 - 2*n**5/25 + n**4/5 + 4*n**3/15 - n**2/5 - 2*n/5 - 21. Factor u(j).
-2*(j - 1)**2*(j + 1)**3/5
Suppose 4*w - 14 = 2*y, -3*w - 2*w = -3*y - 16. Let j be (-10)/(-6)*(1 - -2). Factor -z - 2 - 5*z + w*z**2 + 4*z + j*z.
(z + 1)*(5*z - 2)
Suppose 0 = -3*b - 193 + 193. Suppose b + 0*l + 1/5*l**4 - 1/5*l**2 + 1/5*l**5 - 1/5*l**3 = 0. Calculate l.
-1, 0, 1
Let a(d) be the third derivative of d**8/60480 + d**7/7560 + d**6/2160 + d**5/20 + 2*d**2. Let u(s) be the third derivative of a(s). Factor u(k).
(k + 1)**2/3
Suppose 0 = i - 4*i + 3*k + 6, 0 = 3*i + 3*k + 12. Let y = 4 - i. Factor 0 + 1/2*v**3 - 1/2*v**y + 0*v**4 + 0*v**2 + 0*v.
-v**3*(v - 1)*(v + 1)/2
Factor 1/2 + 1/8*k**3 - 1/8*k**2 - 1/2*k.
(k - 2)*(k - 1)*(k + 2)/8
Let u(b) be the third derivative of 0*b + 0*b**3 + 9*b**2 + 0 + 1/30*b**4 - 1/150*b**5 + 1/175*b**7 - 1/75*b**6. Factor u(h).
2*h*(h - 1)**2*(3*h + 2)/5
Factor -76*t**4 + 9*t**3 - t**3 + 74*t**4.
-2*t**3*(t - 4)
Suppose -21*z - 105 = -16*z. Let p be (-18)/21*z/24. Find a, given 