*5 + 4*r**2 + 0*r + 0 + 1/3*r**4. Let q(f) = 0. What is f?
2
Let c(m) = 2*m**3 + 5*m**2 - 5*m + 7. Let n(k) = 3*k**3 + 5*k**2 - 4*k + 8. Let g(d) = -4*c(d) + 3*n(d). Determine r, given that g(r) = 0.
1, 2
Let i(j) = 4*j**3 + 25*j**2 + 32*j - 61. Let k(g) = g**2 - 1. Let r(s) = i(s) + 3*k(s). What is t in r(t) = 0?
-4, 1
Let c be (-1)/8*(-1 + (1 - 6)). Factor -9/2*d**3 - c*d**4 - 39/4*d**2 - 9*d - 3.
-3*(d + 1)**2*(d + 2)**2/4
Let u = -9 + 11. Let z be (-2)/u*1/(-4). Factor -3/2*j**2 + j**3 - 1/4*j**4 - z + j.
-(j - 1)**4/4
Let r be ((-1)/2)/(11/(-22)). Let a be 2 + -2 + 3 - r. Factor -x**a - 2/3 + 5/3*x.
-(x - 1)*(3*x - 2)/3
Let o(f) be the second derivative of -f**5/70 + f**4/7 - 3*f**3/7 + 7*f. Let o(g) = 0. Calculate g.
0, 3
Let n = 72439 + -503644/7. Let c = n + -489. Determine l, given that c*l**4 + 4/7*l + 0 + 16/7*l**3 + 2*l**2 = 0.
-1, -2/3, 0
Let s(c) be the first derivative of -2/3*c**3 - 2 - 2*c - 2*c**2. Factor s(h).
-2*(h + 1)**2
Let o(z) be the third derivative of -z**11/166320 + z**9/15120 - z**7/2520 - z**5/30 + 5*z**2. Let g(w) be the third derivative of o(w). Factor g(i).
-2*i*(i - 1)**2*(i + 1)**2
Determine c so that -2/13*c**3 + 0 - 34/13*c**2 + 0*c = 0.
-17, 0
Let f(d) be the second derivative of 1/24*d**4 - 1/40*d**5 + 0 - 1/4*d**2 + d + 1/12*d**3. Factor f(b).
-(b - 1)**2*(b + 1)/2
Let k(b) be the first derivative of b**6/6 + b**5/10 - 5*b**4/12 - b**3/3 + 2*b - 4. Let n(t) be the first derivative of k(t). Factor n(s).
s*(s - 1)*(s + 1)*(5*s + 2)
Let r(a) be the second derivative of -a**7/14 + 3*a**5/20 - 9*a. Determine c, given that r(c) = 0.
-1, 0, 1
Let t be ((-6)/(-21))/(5/14). Let -2/5*o + 2/5*o**5 + 0 - 4/5*o**4 + t*o**2 + 0*o**3 = 0. What is o?
-1, 0, 1
Let c(r) be the third derivative of 0*r + 0*r**3 + 0 + 1/36*r**4 + 3*r**2 + 7/180*r**5 + 1/72*r**6. Let c(l) = 0. Calculate l.
-1, -2/5, 0
What is j in 22*j**4 - 4*j**5 - 32*j**4 - 4*j**3 + 18*j**4 = 0?
0, 1
Let j(y) be the second derivative of -y**7/98 - y**6/10 - 3*y**5/20 + 23*y**4/28 + 4*y**3/7 - 24*y**2/7 + 12*y. What is b in j(b) = 0?
-4, -1, 1
Let m = -7 + -11. Let p be (-8)/2 - m/4. Factor 1/2*z**2 - 1 - p*z.
(z - 2)*(z + 1)/2
Let m = 2630 + -13004/5. Let u = m - 29. Factor -u*c**2 - 2/5*c - 1/5.
-(c + 1)**2/5
Let d(l) be the first derivative of -l**7/420 - l**6/90 + l**5/60 + l**4/6 - l**3 - 5. Let y(r) be the third derivative of d(r). Factor y(b).
-2*(b - 1)*(b + 1)*(b + 2)
Let f(u) be the third derivative of u**7/840 - u**6/360 + u**3/6 + u**2. Let w(y) be the first derivative of f(y). What is h in w(h) = 0?
0, 1
Factor -6/5*n**4 + 0*n - 2/5*n**2 + 2/5*n**5 + 6/5*n**3 + 0.
2*n**2*(n - 1)**3/5
Let f = -10/23 - -53/69. Let s(u) be the first derivative of -f*u**2 - 1/2*u**4 - 3 - 2/15*u**5 - 2/3*u**3 + 0*u. Factor s(x).
-2*x*(x + 1)**3/3
Factor 16*b - 2*b**2 + 267 - 203 + 3*b**2.
(b + 8)**2
Let p(y) be the first derivative of -2*y**3/3 - 4*y**2 - 8*y - 6. Factor p(m).
-2*(m + 2)**2
Suppose 0*g + 2*h - 18 = 4*g, -5*g = -5*h + 10. Let a be (7 + g)/((-4)/2). Factor 1/4*q**5 + 0*q + 1/4*q**4 - 1/4*q**2 + a - 1/4*q**3.
q**2*(q - 1)*(q + 1)**2/4
Suppose -5*f + 15 = -2*f. Suppose c - 3 - f = 0. Suppose 7/2*l**4 + c*l**3 + 11/2*l**2 + l + 0 = 0. Calculate l.
-1, -2/7, 0
Let n = 76502/9 - 8514. Let o = 14 + n. Factor -o*t**3 + 4/9*t**2 - 2/9*t + 0.
-2*t*(t - 1)**2/9
Suppose -15*g + 39 = -2*g. Let u = 12 - 7. Find h, given that -26*h**2 + 8/3 + 90*h**4 - 16/3*h + 54*h**u + 18*h**g = 0.
-1, -2/3, 1/3
Let h(p) = -5*p + 2*p**2 - 2*p**2 - 8 - 2*p**2. Let q be 3/(-6)*(1 + 1). Let a(n) = n. Let o(l) = q*h(l) + 3*a(l). Factor o(g).
2*(g + 2)**2
Let c(p) be the third derivative of p**7/280 + p**6/60 + p**5/40 - 5*p**3/6 + p**2. Let x(m) be the first derivative of c(m). Factor x(z).
3*z*(z + 1)**2
Let q(a) = a**2 - a - 1. Let t(c) = 18*c**2 - 15*c - 15. Let y(f) = -15*q(f) + t(f). Factor y(m).
3*m**2
Factor -19*l**2 + 135 - 5*l**2 - 3*l**3 + 45*l - 2*l**3 + 9*l**2.
-5*(l - 3)*(l + 3)**2
Let p(k) = k**3 + 8*k**2 - k - 3. Let t be p(-8). Let r = t - 3. Suppose -1/2 + 3/4*j + 0*j**r - 1/4*j**3 = 0. Calculate j.
-2, 1
Let b be 12/(-80)*4/(-6). Let v(g) be the first derivative of 2 + 1/5*g - 1/15*g**3 - b*g**2 + 1/20*g**4. Factor v(z).
(z - 1)**2*(z + 1)/5
Let i be (-5)/((-15)/(-36)) - 0. Let c = i + 14. Factor 8/9*n - 2/9*n**c - 8/9.
-2*(n - 2)**2/9
Let m(k) be the second derivative of 1/9*k**4 + 0*k**2 + 0*k**6 + 1/10*k**5 + 0*k**3 + 0 - k - 1/63*k**7. Suppose m(v) = 0. What is v?
-1, 0, 2
Let b be (-11)/(-4) - (2 + (-15)/12). Determine w so that 6/5*w**b + 3*w + 6/5 - 3/5*w**5 - 12/5*w**4 - 12/5*w**3 = 0.
-2, -1, 1
Let i**2 + 3*i + 4*i**4 - 7*i**4 - 10*i**2 + 2*i**3 + 7*i**3 = 0. Calculate i.
0, 1
Let t = -16 + 20. Find s such that -4*s**3 - 2*s**2 + 14*s**t + 4*s + 2*s**2 - 14*s**2 = 0.
-1, 0, 2/7, 1
Let f(i) = i. Let a(x) = -x**2 + 6*x - 1. Let h(u) = 3*a(u) - 24*f(u). Determine g so that h(g) = 0.
-1
Let d(h) be the first derivative of -h**6/21 - 6*h**5/35 - h**4/7 + 3. Factor d(t).
-2*t**3*(t + 1)*(t + 2)/7
Find x such that 5*x**5 - 4*x**5 - 4*x**3 + 3*x**3 = 0.
-1, 0, 1
Let u(j) = j - 4. Let v be u(6). Let n(c) be the first derivative of -8*c - 4*c**v + 1 - 2/3*c**3. Factor n(p).
-2*(p + 2)**2
Let d(w) = 28*w - 11*w - 3 + 4*w - 9*w**2 - 9. Suppose m - 5 = -0*m. Let a(y) = -4*y**2 + 10*y - 6. Let v(b) = m*a(b) - 2*d(b). Factor v(p).
-2*(p - 3)*(p - 1)
Let r(d) be the first derivative of 3 + 1/108*d**4 - 1/2*d**2 + 0*d**3 + 0*d + 1/270*d**5. Let o(m) be the second derivative of r(m). Solve o(k) = 0.
-1, 0
Suppose 0*l - 12 = -l. Let t be 33/l - (-1)/4. Solve t*a - 4*a + a**2 + a**2 - a**2 = 0.
0, 1
Let t(o) = 4 + 15*o**2 + 1 - 9. Let r(w) = 8*w**2 - 2. Let k(u) = -11*r(u) + 6*t(u). Suppose k(c) = 0. Calculate c.
-1, 1
Let i(z) be the first derivative of -z**6/30 + z**4/10 - z**2/10 + 6. Factor i(n).
-n*(n - 1)**2*(n + 1)**2/5
Suppose 0 = 4*i - 1 - 7. What is l in 19*l**2 - 24*l - 7 + 3*l**i - 50*l**4 + 60*l**3 - 1 = 0?
-2/5, 1
Suppose -5*g - 2461 = -836. Let q = 1633/5 + g. Factor -2/5*t**4 + 0 - 2*t**3 - 16/5*t**2 - q*t.
-2*t*(t + 1)*(t + 2)**2/5
Let z(v) be the third derivative of v**9/90720 + v**8/15120 - v**5/60 - 2*v**2. Let i(w) be the third derivative of z(w). Factor i(l).
2*l**2*(l + 2)/3
Let t(r) be the second derivative of r**7/8820 - r**6/1260 - r**4/4 - 2*r. Let m(d) be the third derivative of t(d). What is n in m(n) = 0?
0, 2
Suppose a + n = -4*a + 19, 3*n = 4*a. Let g(l) be the first derivative of -2 - 2/3*l**3 + 3/2*l**4 - 2/5*l**5 - a*l**2 + 4*l. Factor g(m).
-2*(m - 2)*(m - 1)**2*(m + 1)
Let b(c) = -c**3 - 2*c**2 + 3*c + 1. Let h be b(-3). Factor 1 - 3*u + 1 + h - 3*u**2 + 0*u + 3*u**3.
3*(u - 1)**2*(u + 1)
Let k(l) be the second derivative of l**10/45360 + l**9/22680 + l**4/12 - 3*l. Let b(c) be the third derivative of k(c). Factor b(h).
2*h**4*(h + 1)/3
Let g(w) be the first derivative of 0*w**2 + 0*w - 2 - 1/10*w**4 + 0*w**3. Determine q, given that g(q) = 0.
0
Let a(y) = -y + 13. Let m be a(13). Let u(r) = r**2 + 6*r + 2. Let n be u(-6). Factor 2/3 + m*t - 2/3*t**n.
-2*(t - 1)*(t + 1)/3
Let f(j) be the second derivative of -3*j**5/40 - 3*j**4/8 - 3*j**3/4 - 3*j**2/4 + j. What is s in f(s) = 0?
-1
Let z(h) be the first derivative of -h**2 - 2*h + h**3 + 2 - 1/2*h**4 + 1/10*h**5. Let y(d) be the first derivative of z(d). Determine p so that y(p) = 0.
1
Factor 2 + 0*a - 1/2*a**3 - 3/2*a**2.
-(a - 1)*(a + 2)**2/2
Let n(w) be the third derivative of 2*w**7/105 + w**6/15 + w**5/15 + 8*w**2. What is x in n(x) = 0?
-1, 0
Suppose 55 = 4*i + 35. Suppose o**2 - 3/2*o**i + 0 + 1/6*o - o**4 + 4/3*o**3 = 0. Calculate o.
-1, -1/3, 0, 1
Let j(k) be the first derivative of k**6/1440 - k**4/96 + k**3 - 4. Let a(u) be the third derivative of j(u). Determine o, given that a(o) = 0.
-1, 1
Let a(w) be the third derivative of w**5/100 + 3*w**4/20 - 2*w**2 + 7*w. Suppose a(c) = 0. What is c?
-6, 0
Let a(v) be the third derivative of 0*v**3 - 1/12*v**4 + 0 - 6*v**2 + 1/120*v**5 + 0*v. Determine x, given that a(x) = 0.
0, 4
Let h = -21 + 15. Let c(z) = -3*z**4 - 7*z**3 - 4*z**2 + 11*z + 11. Let m(a) = -a**4 - 3*a**3 - 2*a**2 + 6*a + 6. Let o(l) = h*c(l) + 11*m(l). Factor o(u).
u**2*(u + 1)*(7*u + 2)
Let w(z) be the third derivative of z**8/1176 + 2*z**7/735 + z**6/420 + 18*z*