080 + x**7/3780 - x**6/540 + 5*x**4/24 + 4*x**2. Let a(m) be the second derivative of s(m). Let a(t) = 0. What is t?
-2, 0, 1
Let y = 0 + 3. Factor v + 6*v**3 - v + 3*v**y - 6*v**2.
3*v**2*(3*v - 2)
Determine m, given that 2/7 + 0*m**3 + 2/7*m**4 - 4/7*m**2 + 0*m = 0.
-1, 1
Let x(j) = -8*j**2 - 24*j - 38. Let s(l) = -2*l**2 - 1. Let o(g) = -2*s(g) + x(g). Find y such that o(y) = 0.
-3
Let t(a) = a**4 + a**3 - a**2 + a. Let i(z) = -3*z**4 - 5*z**3 - 2*z. Let o(c) = -3*i(c) - 6*t(c). Factor o(y).
3*y**2*(y + 1)*(y + 2)
Let l(k) be the first derivative of -k**4/24 - 2*k**3/9 - k**2/4 + 64. Let l(z) = 0. What is z?
-3, -1, 0
Let j be 24/(-9)*(-11)/22. Find o, given that -4*o + 13/3*o**2 + 1/3*o**4 - 2*o**3 + j = 0.
1, 2
Suppose 43*a + 20 = 47*a. Let k(h) be the second derivative of -1/10*h**2 + 1/30*h**3 - 3*h - 1/100*h**a + 1/60*h**4 + 0. Factor k(s).
-(s - 1)**2*(s + 1)/5
Let a be (11 + 1043/(-98))*24/10. Factor 3*z**2 + 15/7*z - a.
3*(z + 1)*(7*z - 2)/7
Let c = -48 + 81. Let z be ((-22)/c)/((-1)/3). What is o in -1/2*o + 1/2*o**4 - 1/2*o**5 + o**3 + 1/2 - o**z = 0?
-1, 1
Let w be (-2)/7 + 58/7. Let h = w - 4. Solve 8*d**3 + 0*d**h + 11*d - 3*d - 12*d**2 - 2*d**4 - 2 = 0 for d.
1
Let l(s) be the second derivative of 0*s**2 - 1/6*s**3 + 2*s + 0*s**4 + 0*s**5 - 1/360*s**6 + 0. Let r(h) be the second derivative of l(h). Factor r(b).
-b**2
Suppose 0 = 4*u - 2*q - 30, 2*u + 4*q = -q - 15. Let y(b) be the first derivative of -7/18*b**4 + 1/9*b**2 + 1 + 4/27*b**3 + 0*b + 8/45*b**u. Factor y(a).
2*a*(a - 1)**2*(4*a + 1)/9
Let m(f) be the second derivative of -f**7/210 - f**6/120 - 3*f**2 - f. Let w(d) be the first derivative of m(d). Solve w(r) = 0.
-1, 0
Suppose -4*a - o + 14 = 1, -5*a + 3*o = 5. Suppose 3 = -a*g + 11. Let 2*w**g + 2 - 2*w - 6*w - 8*w**3 + 12*w**2 + 0*w = 0. Calculate w.
1
Let j be ((-21)/(-98))/(6/4). Let k(p) be the first derivative of -2 - 2/35*p**5 - 1/14*p**4 + j*p**2 + 2/21*p**3 + 0*p. Find g, given that k(g) = 0.
-1, 0, 1
Let y(h) be the first derivative of 0*h**2 - 1 + 0*h - 1/9*h**3 + 1/12*h**4. Factor y(k).
k**2*(k - 1)/3
Let l be 93/99 - (-42)/(-154). Solve 1/6 + 7/6*n + 2*n**2 - l*n**3 - 8/3*n**4 = 0 for n.
-1/2, -1/4, 1
Factor -51*k**5 - k**5 - 4*k - 71*k**3 - 40*k**2 - 61*k**3 - 12*k**5 - 160*k**4.
-4*k*(k + 1)**2*(4*k + 1)**2
Let u(t) = t**3 + 3*t**2 - 2. Let f be u(-2). Suppose f*s = s. Find n, given that 4/7*n**2 + 2/7*n**5 + s + 0*n**3 - 4/7*n**4 - 2/7*n = 0.
-1, 0, 1
Let a(v) = -v**3 + 10*v**2 - 10*v + 9. Let b be a(9). Suppose b = g - 3*g. Factor -2/5*p**3 + g*p**2 + 0 + 0*p.
-2*p**3/5
Let o = 18 + -15. Solve -3*z**2 - z + z**2 + 4*z**2 + z**o - 2*z**3 = 0 for z.
0, 1
Let u(l) = -5*l**3 - 31*l**2 - 15*l. Let r(o) = -o**3 - 6*o**2 - 3*o. Let n(s) = -22*r(s) + 4*u(s). Factor n(j).
2*j*(j + 1)*(j + 3)
Let a(p) be the second derivative of 2*p**6/45 - p**5/3 + p**4 - 14*p**3/9 + 4*p**2/3 - 17*p. Find f, given that a(f) = 0.
1, 2
Let t be (-2)/1*(-2 - 2). Let h be t/6*3/8. Determine b so that -1/4*b**2 - h - 3/4*b = 0.
-2, -1
Let m be ((-3)/6)/((-1)/8). Suppose -15 = -m*l - l. Find y, given that l*y**3 - 5*y**3 + y**3 = 0.
0
Let j be -3 - (-3 - -9)/(-1). Suppose 2 = -j*n + 4*n. Factor -5*c**n - c**2 + 6*c + c**3 + c**3 - 2*c.
2*c*(c - 2)*(c - 1)
Suppose 1 - 1 + 4*j**2 - 18*j + 58*j = 0. Calculate j.
-10, 0
Let i = 3679 + -2317769/630. Let z(d) be the third derivative of 1/180*d**5 + 0*d + i*d**7 + 0*d**3 + 0*d**4 + 0 - 1/180*d**6 + 2*d**2. Solve z(j) = 0.
0, 1
Let q(t) = -3*t - 18. Let h be q(-7). Let r(b) be the first derivative of 4/3*b + 0*b**3 - b**2 + 1/6*b**4 - h. Find g, given that r(g) = 0.
-2, 1
Factor 0*b**4 + 0*b - 1/2*b**2 - 3/4*b**3 + 1/4*b**5 + 0.
b**2*(b - 2)*(b + 1)**2/4
Let l(n) be the third derivative of -n**5/15 - n**4/2 + 8*n**3/3 + 7*n**2. Suppose l(x) = 0. What is x?
-4, 1
Suppose -5*d + 0*d + 15 = 0. Let s(f) be the second derivative of -2*f + 1/36*f**4 + 0 + 2/9*f**d + 2/3*f**2. Factor s(j).
(j + 2)**2/3
Factor -3*a**3 + 10*a**2 + 3*a**3 + 5*a**2 + 5*a**3.
5*a**2*(a + 3)
Let z = -80 + -206. Let s = z - -2578/9. Factor -s*f**2 + 0*f + 0 - 2/3*f**4 - 10/9*f**3.
-2*f**2*(f + 1)*(3*f + 2)/9
Let x(v) = -4 - 19*v**2 - 2*v**2 - 22*v**3 - 6*v - 3. Let t(y) = -7*y**3 - 7*y**2 - 2*y - 2. Let b(w) = 7*t(w) - 2*x(w). Let b(h) = 0. What is h?
-1, -2/5, 0
Let t = 12 + -11. Suppose 2*a - 5 = -t. Factor -1/5*y**3 + 1/5*y + 0 - 1/5*y**a + 1/5*y**4.
y*(y - 1)**2*(y + 1)/5
Suppose 2*r + j = 1 + 2, 0 = 5*j + 15. Let s(v) be the third derivative of -1/60*v**6 + 1/48*v**4 + 1/40*v**5 + 0 - 3*v**2 + 0*v + 0*v**r. Solve s(o) = 0 for o.
-1/4, 0, 1
Let l(y) be the first derivative of -y**6/18 - 4*y**5/15 - y**4/4 + 4*y**3/9 + 2*y**2/3 + 9. Let l(r) = 0. Calculate r.
-2, -1, 0, 1
Let q(u) = -2*u**5 + 2*u**4 + u**3 - 3*u**2 + u + 1. Let x(t) = -t**3 - t**2 + t + 1. Let i(m) = 2*q(m) - 2*x(m). Factor i(d).
-4*d**2*(d - 1)**2*(d + 1)
Let u(p) = 8*p**5 - 3*p**3 + 5*p**2 + 5. Let s(w) = -4*w**5 + w**3 - 3*w**2 - 3. Let y(k) = -5*s(k) - 3*u(k). Find b such that y(b) = 0.
-1, 0, 1
Let u(d) be the third derivative of -d**7/1995 - d**6/380 - d**5/285 - 8*d**2. Factor u(c).
-2*c**2*(c + 1)*(c + 2)/19
Let d(o) be the first derivative of 2*o**3/3 - 2*o + 2. Determine m, given that d(m) = 0.
-1, 1
Let s(u) be the second derivative of 2*u + 1/8*u**3 + 0 + 1/16*u**4 + 1/80*u**5 + 1/8*u**2. Let s(j) = 0. Calculate j.
-1
Let b(r) be the second derivative of -2*r + 0 - 1/48*r**4 - 1/24*r**3 + 1/4*r**2. Factor b(h).
-(h - 1)*(h + 2)/4
Let v(i) be the second derivative of i**4/30 + 2*i**3/15 + i**2/5 + 6*i. Suppose v(j) = 0. Calculate j.
-1
Let b(j) be the third derivative of -j**8/70560 + j**7/17640 - j**5/20 + 3*j**2. Let s(c) be the third derivative of b(c). Factor s(l).
-2*l*(l - 1)/7
Let p(n) = -7*n**3 + n**2 - 11*n + 7. Let z(w) = -10*w + 5 + 3 + 2*w**2 - 1 - 1 - 6*w**3. Let q = -12 + 8. Let v(k) = q*p(k) + 5*z(k). Factor v(j).
-2*(j - 1)**3
Let a be (-20)/(-21) - (-14)/(-49). Find i, given that a*i**2 + 0 + 2/3*i = 0.
-1, 0
Let k = 22/107 - 3193/16050. Let d(g) be the third derivative of 1/300*g**6 - 1/30*g**4 + 0*g**3 + 0 - 2*g**2 + 0*g - k*g**5. Factor d(f).
2*f*(f - 2)*(f + 1)/5
Suppose -440 + 125 = 5*m. Let j = m - -443/7. Factor -4/7*z**4 + j*z + 0 + 0*z**3 + 4/7*z**2 - 2/7*z**5.
-2*z*(z - 1)*(z + 1)**3/7
Suppose -4*c - 4 = 2*a, 2*a - c - 3 = 3*a. Let z = a + 4. Factor 0*v**3 + 2*v**4 + 4*v**4 + z*v**3 + 4*v**3 - 10*v**5.
-2*v**3*(v - 1)*(5*v + 2)
Suppose 8 = z + 3*z. Suppose 4*s - 4 = z*s. Solve 12/7*p**2 + 2/7*p - 16/7*p**5 + s*p**3 + 0 - 12/7*p**4 = 0.
-1, -1/2, -1/4, 0, 1
Let j = 23 + -47. Let a be (-18)/j + 3/(-4). Factor 0*x**2 + a*x - 2/7*x**4 + 0 + 2/7*x**3.
-2*x**3*(x - 1)/7
Suppose -5*r + 13 = -7. Factor -4*z - 9 + 0*z**2 - 6*z - z**2 + r*z.
-(z + 3)**2
Solve -605*o**2 - 9 - 110*o - 6 + 21 - 11 = 0 for o.
-1/11
Suppose 5*h - 10 = 2*i, 0 = 2*i + 10. Factor -3/5*v**2 + 3/5 + h*v.
-3*(v - 1)*(v + 1)/5
Let f(m) = -80*m**2 - 55*m - 55. Let d(k) = 3*k**2 + 2*k + 2. Let h(b) = 55*d(b) + 2*f(b). Determine c, given that h(c) = 0.
0
Let q = 143/2 + -70. Factor -5/2*o - 1 + q*o**2.
(o - 2)*(3*o + 1)/2
Let h(n) = 17*n - 13. Let f be h(1). What is t in 3/2*t**3 + 0 + 0*t + 3/4*t**2 + 3/4*t**f = 0?
-1, 0
Let g(u) = 21*u**3 - 84*u**2 + 120*u - 27. Let k(o) = -3*o**3 + 12*o**2 - 17*o + 4. Let w(z) = -2*g(z) - 15*k(z). Find v, given that w(v) = 0.
1, 2
Let n(o) be the third derivative of o**8/100800 - o**7/12600 + o**6/3600 - o**5/10 - 3*o**2. Let i(z) be the third derivative of n(z). Factor i(f).
(f - 1)**2/5
Let k = 8773/5 - 1754. Let v = 3/151 + 891/755. Factor k*h + v - 3/5*h**2.
-3*(h - 2)*(h + 1)/5
Factor -16/3*z**4 + 3*z**5 - 5/3*z - 4/3*z**3 + 6*z**2 - 2/3.
(z - 1)**3*(z + 1)*(9*z + 2)/3
Let i(f) be the third derivative of f**7/280 + f**6/40 + f**5/20 + f**3 - 8*f**2. Let c(a) be the first derivative of i(a). Determine o so that c(o) = 0.
-2, -1, 0
What is k in -7/2*k - 1/4*k**4 + k**3 + 3/4*k**2 + 2 = 0?
-2, 1, 4
Let 9*v - 40 + v - 12*v - 10*v + 4*v**2 = 0. Calculate v.
-2, 5
Let t(r) be the first derivative of 2*r**4 + 2*r**2 + 2/5*r**5 + 10/3*r**3 + 0*r + 3. Factor t(p).
2*p*(p + 1)**2*(p + 2)
Let v(k) = 2*k**2 - 10*k - 8. Let y be v(6). Suppose 3*c - 4*q + 0*q + 16 = 0, -4*c + 16 = y*q. Suppose 5/2*o**3 - o - 2*o**4 + 7/2*