 be (-46)/(-14) + 10/(-35). Suppose 2*d - 9 = -s. Find l, given that 2*l**d - l**4 - 4*l**2 - 4*l**3 + 3*l**2 + 0*l**2 = 0.
-1, 0
Let r be (-12)/8 + 33/6. Suppose -8 = -5*f + h, r*h = -f + h + 8. Factor -1/4*b**f + 1/2 + 1/4*b.
-(b - 2)*(b + 1)/4
Let y be (-6)/(-12)*((2 - 5) + 3). Factor -4/3*g + y - 2/3*g**2.
-2*g*(g + 2)/3
Let c(l) = 6*l**2 - 10*l + 4. Let r(k) = -7*k**2 - 5*k - 6. Let b(d) = 15*d**2 + 11*d + 13. Let a(s) = -6*b(s) - 13*r(s). Let f(w) = 8*a(w) - c(w). Factor f(v).
2*(v - 1)*(v + 2)
Suppose -3*p = -15 - 3. Suppose 5*t = 5*b - 10, 0*t + 2*t = -3*b + p. Factor -1/2*w**4 - 1/2 - 3*w**2 - b*w**3 - 2*w.
-(w + 1)**4/2
Factor 15/4*l**3 + 5 - 25/2*l**2 - 45/4*l.
5*(l - 4)*(l + 1)*(3*l - 1)/4
Suppose -2*a + 3 = 5*o - 14, -2*o + 4 = -2*a. Solve 0 + 2 - 4*y**4 - y**o + 4*y + 2*y**4 - 3*y**3 = 0.
-1, 1
Let -1/3*k**5 + 0*k - 1/3*k**3 - 2/3*k**4 + 0*k**2 + 0 = 0. Calculate k.
-1, 0
Suppose v + 1/2*v**2 + 0 = 0. Calculate v.
-2, 0
Let r be ((-15)/10)/(-1)*(-2)/(-6). Factor -1/2*h + 1/2*h**3 + 1/2*h**4 + 0 - r*h**2.
h*(h - 1)*(h + 1)**2/2
Let g = 7 + -4. Factor 2*q**g - q**3 - 2*q**3 + 0*q**3 + q**5.
q**3*(q - 1)*(q + 1)
Let u(y) be the first derivative of -1 + 0*y**2 + 0*y - 3/25*y**5 - 1/10*y**6 + 0*y**3 + 0*y**4. Factor u(g).
-3*g**4*(g + 1)/5
Suppose -10 = -4*r - 2*f, 3*r = 5*f - f + 2. Factor 75*x**3 - 8 + 20 - 48*x + 22*x**2 - 7*x**r.
3*(x + 1)*(5*x - 2)**2
Let b(g) be the third derivative of -g**5/5 + 3*g**4/8 + g**3/2 - 8*g**2. Factor b(w).
-3*(w - 1)*(4*w + 1)
Let w(t) be the second derivative of -t**4/9 - t**3/9 + 3*t. Factor w(d).
-2*d*(2*d + 1)/3
Determine v so that -2/15 - 2/15*v**2 - 4/15*v = 0.
-1
Let h(q) be the third derivative of 0*q + 0 - 1/300*q**5 + 0*q**3 + 5*q**2 + 1/120*q**4. What is k in h(k) = 0?
0, 1
Let f(m) be the first derivative of m**5/10 + m**4/4 - 2*m**3/3 - m**2/2 + 3*m/2 + 4. Let f(j) = 0. Calculate j.
-3, -1, 1
Suppose 0 = 4*l - 369 - 323. Let z = l + -1209/7. Factor z*u + 6/7*u**2 + 0.
2*u*(3*u + 1)/7
Suppose -5*m + 23 = -82. Let d be m/(-147) - (-131)/35. Let 12/5 + 3/5*o**4 + d*o**3 + 39/5*o**2 + 36/5*o = 0. Calculate o.
-2, -1
Let c = -7 + 10. Let t(j) be the first derivative of 2/5*j + 1 + 2/5*j**2 + 2/15*j**c. Let t(a) = 0. Calculate a.
-1
Let f(m) be the third derivative of 1/14*m**4 + 5*m**2 + 0*m - 3/7*m**3 - 1/210*m**5 + 0. Factor f(r).
-2*(r - 3)**2/7
Solve 11*z - 2*z - 4*z + 10*z**2 + 10*z - 5*z**3 = 0.
-1, 0, 3
Let m(w) = -6*w**4 + 7*w**3 - 2*w**2 - 1. Let v(c) = -c**5 - c**4 + c**2 - 1. Let f(r) = 5*m(r) - 5*v(r). Suppose f(i) = 0. Calculate i.
0, 1, 3
Let q(k) = -k - 4. Let r be q(-7). Let x = 3 - r. Factor -2/5*p**2 + x - 2/5*p**4 - 4/5*p**3 + 0*p.
-2*p**2*(p + 1)**2/5
Let c(f) be the third derivative of f**5/60 - f**3/6 - 18*f**2. Factor c(x).
(x - 1)*(x + 1)
Let n(r) be the third derivative of 0*r + 1/720*r**6 + 4*r**2 + 0 + 0*r**4 + 1/360*r**5 + 0*r**3. Let n(m) = 0. What is m?
-1, 0
Let b(z) be the first derivative of 2*z**3/21 - 6*z**2/7 + 18*z/7 + 5. Factor b(d).
2*(d - 3)**2/7
Let j(r) = 2*r**2 - 8*r + 2. Let z be ((-1)/(-1))/(1/11). Let q(d) = -10*d**2 + 41*d - 11. Let v(o) = z*j(o) + 2*q(o). Let v(i) = 0. What is i?
0, 3
Factor 0*b + 5*b**2 + 7*b**2 + 2*b + 6*b.
4*b*(3*b + 2)
Let p(k) be the first derivative of -3*k**4/4 + 8*k**3 - 39*k**2/2 + 18*k - 22. Solve p(y) = 0 for y.
1, 6
Solve 2/9*q + 0 - 2/9*q**2 = 0.
0, 1
Suppose 0 = -5*b - 5*q, 2*b + 3*q - 1 = 2*q. Let y be b/(-1)*(-48)/132. Factor -2/11*r + 2/11*r**2 - y.
2*(r - 2)*(r + 1)/11
Let i(v) be the second derivative of v**4/6 - 3*v**3 - 10*v**2 + 2*v + 3. Factor i(s).
2*(s - 10)*(s + 1)
Find w such that 8/15 - 8/15*w**3 - 14/15*w**2 + 2/5*w**4 + 8/15*w = 0.
-1, -2/3, 1, 2
Let l be 2/1 - 85/45. Let k(d) be the first derivative of 2 - 1/2*d**2 + 2/3*d + l*d**3. Factor k(v).
(v - 2)*(v - 1)/3
Let f(s) be the second derivative of -1/15*s**3 - 7/100*s**5 + 0*s**2 - 2*s - 3/20*s**4 + 0. Factor f(p).
-p*(p + 1)*(7*p + 2)/5
Let a(s) be the first derivative of s**5/150 + s**4/30 + 3*s**2/2 - 1. Let n(g) be the second derivative of a(g). Let n(t) = 0. Calculate t.
-2, 0
Let y(c) = 2*c**2 + 14*c + 14. Let f(i) = 6*i**2 + 41*i + 41. Let b(v) = -6*f(v) + 17*y(v). Factor b(d).
-2*(d + 2)**2
Let o be (10/200*5)/1. Find t such that -o*t**3 + 1/2 + 1/4*t - 1/2*t**2 = 0.
-2, -1, 1
Let v(y) be the second derivative of -1/27*y**3 + 0 + 1/54*y**4 - 1/135*y**6 - y + 0*y**2 + 1/90*y**5. Solve v(x) = 0 for x.
-1, 0, 1
Suppose 0 = -3*q + 1 + 5. Let 0 - 6*a**2 + 10*a + 10*a**3 + q*a**4 - 4 - 12*a**3 = 0. Calculate a.
-2, 1
Suppose 3*k - 12 = -k. Factor 6*m**2 - 2*m**5 - 8*m**4 + 3*m**5 + 2 + 4*m**k - 7*m + 2*m**5.
(m - 1)**3*(m + 1)*(3*m - 2)
Let n(j) be the first derivative of -j**5/60 + j**4/9 - 5*j**3/18 + j**2/3 - 4*j - 3. Let u(o) be the first derivative of n(o). Factor u(v).
-(v - 2)*(v - 1)**2/3
Let s(b) = 7*b**2 + 2*b - 2. Let l(g) = 50*g**2 + 15*g - 15. Let z(x) = -2*l(x) + 15*s(x). Suppose z(m) = 0. Calculate m.
0
Let j = -59 + 59. Determine a, given that 2/5*a**3 + j + 0*a**2 - 2/5*a = 0.
-1, 0, 1
Let d(w) be the second derivative of w**8/840 - w**7/420 - w**6/180 + w**5/60 + 2*w**3/3 + w. Let o(r) be the second derivative of d(r). Factor o(g).
2*g*(g - 1)**2*(g + 1)
Let f(q) be the third derivative of q**7/105 - q**5/15 + q**3/3 + 19*q**2. Suppose f(k) = 0. Calculate k.
-1, 1
Suppose 0 = 3*y - 4*y. Suppose 0 = -y*w - 4*w. Factor -2/3*z + 2/3*z**2 + w.
2*z*(z - 1)/3
Let p = 4 + 90. Suppose -443*f**4 - 157*f**4 - 16 - 331*f**5 - p*f**3 + 24*f + 196*f**2 - 19*f**5 = 0. What is f?
-1, -2/5, 2/7, 2/5
Let u(m) be the second derivative of -3/4*m**4 - 2*m - 4*m**3 + 27/20*m**5 + 0 + 6*m**2. What is i in u(i) = 0?
-1, 2/3
Factor -6*x + 46*x**3 + 3*x**2 - 23*x**3 - 20*x**3.
3*x*(x - 1)*(x + 2)
Let x(m) be the second derivative of -m**6/30 + 3*m**5/20 - m**4/12 - m**3/2 + m**2 - 7*m - 1. What is n in x(n) = 0?
-1, 1, 2
Suppose -5*r - 1 = 4. Let k be -1*2/4*r. Let k*h - 1/6*h**3 + 0*h**2 - 1/3 = 0. What is h?
-2, 1
Suppose 3*a = a + 24. Factor -5*r**2 + 27*r**3 + 3*r + a*r**4 + 23*r**2 + 0*r + 0*r.
3*r*(r + 1)**2*(4*r + 1)
Factor -4*y**3 - 2*y**2 - 3*y**2 + 0*y**2 + y**2.
-4*y**2*(y + 1)
Let g(r) be the second derivative of -r**6/105 - 3*r**5/70 - r**4/42 + r**3/7 + 2*r**2/7 + 2*r. Find f such that g(f) = 0.
-2, -1, 1
Let h(x) = -8*x**2 + 113*x - 605. Let g(n) = 55*n**2 - 790*n + 4235. Let p(o) = -3*g(o) - 20*h(o). Factor p(i).
-5*(i - 11)**2
Let z(g) be the second derivative of 0*g**4 - 2*g + 0*g**2 + 1/30*g**6 - 1/20*g**5 + 0 + 0*g**3. Factor z(u).
u**3*(u - 1)
Let h(u) be the third derivative of u**6/120 - 7*u**5/60 + u**4/4 + u**3/3 - 2*u**2. Let a be h(6). Solve r + 3*r**a - 3*r + 3*r**2 - 6*r**3 + 2*r**4 = 0 for r.
0, 1
Let i(p) be the second derivative of 0 - 3*p - 4/21*p**4 - 1/7*p**3 + 2/7*p**2 - 3/70*p**5. Factor i(b).
-2*(b + 1)*(b + 2)*(3*b - 1)/7
Let q be 21/3 + 1 + -2. Let m be 2/q*(15 - 0). Factor 3*s**4 + m - 6*s + 5*s**4 + 32*s**2 - 9 - 30*s**3.
2*(s - 2)*(s - 1)**2*(4*s + 1)
Let z(v) be the third derivative of -5*v**8/196 - 73*v**7/490 - 101*v**6/280 - 13*v**5/28 - 19*v**4/56 - v**3/7 - 44*v**2. Suppose z(m) = 0. What is m?
-1, -2/5, -1/4
Let u(n) be the first derivative of -n**4 + 4*n**3/3 - 18. Factor u(t).
-4*t**2*(t - 1)
Let m(q) = -q**3 - 9*q**2 - 7*q + 9. Let i be m(-8). Let h = i + 3. What is d in 8/3*d + 2/3 + h*d**2 + 2/3*d**4 + 8/3*d**3 = 0?
-1
Let n(w) be the third derivative of -w**7/280 - 7*w**6/80 - 49*w**5/80 + 24*w**2. Factor n(t).
-3*t**2*(t + 7)**2/4
Let m = -929/3 - -313. Factor 0 + 16/3*z**3 - 4/3*z - m*z**4 - 2/3*z**2.
-2*z*(z - 1)**2*(5*z + 2)/3
Let q(y) = 2*y**4 - 8*y - 2. Let m(c) = c**4 + c**3 - 4*c - 3*c - 4 + 3. Suppose -3*x = -14 + 5. Let o(b) = x*q(b) - 4*m(b). Factor o(d).
2*(d - 1)**3*(d + 1)
Let v(j) = j**3 - j**2 + 3*j - 1. Let d be v(2). Factor -6*b**4 + 3*b**4 - 12*b**2 - 9*b**2 + 15*b**2 - d*b**3.
-3*b**2*(b + 1)*(b + 2)
Find i, given that -9/8*i**2 + 3/2 + 0*i - 3/8*i**3 = 0.
-2, 1
Let a be (-8)/14*(-3)/12. Let n(t) be the second derivative of -a*t**2 + 1/21*t**4 + 0*t**3 - 2*t + 0*t**5 - 1/105*t**6 + 0. What is u in n(u) = 0?
-1, 1
Suppose -1/2*q**4 + 0 + q**3 + 1/2*q**2 - q = 0. What is q?
-1, 0, 1, 2
Factor 10*z**4 + 94*z**5 - 4*z**3 + 2*z - 2*z - 80*z**5.
2*z**3*(z + 1)*(7*z - 2)
Let o(