 = 0.
-1, 0
Suppose 4*y - 9 = -r, y + r = -0*y + 3. Suppose 3*v - 11 = -y. Find g such that 2*g**3 - g**2 - 2*g**4 + 0*g**2 - 2*g + v*g**2 = 0.
-1, 0, 1
Let i(z) be the third derivative of -z**8/3360 + z**6/240 - z**5/120 - z**3/6 + 3*z**2. Let q(g) be the first derivative of i(g). Let q(r) = 0. What is r?
-2, 0, 1
Let d be 2/(-7) - (-300)/21. Solve 3*y**2 + 3*y - d*y**2 - 4*y**2 - 9*y + 15*y**4 + 6*y**3 = 0.
-1, -2/5, 0, 1
Let l = 13 + -13. Factor 2*q**3 + l - 4/3*q - 2/3*q**2.
2*q*(q - 1)*(3*q + 2)/3
Let z(v) be the second derivative of v**5/5 + 2*v**4 + 22*v**3/3 + 12*v**2 + 40*v. Let z(i) = 0. What is i?
-3, -2, -1
Let r(f) = 2*f - 4. Let x be r(3). Let g be (-28)/(-42)*(-24)/(-5). Factor -32/5*u**x - 2/5 + g*u.
-2*(4*u - 1)**2/5
Let w(g) be the second derivative of -g**5/40 + g**3/4 - g**2/2 - 5*g. Factor w(x).
-(x - 1)**2*(x + 2)/2
Let p(i) = 48*i**3 + 78*i**2 + 6*i - 78. Let a(z) = 7*z**3 + 11*z**2 + z - 11. Let v(x) = 27*a(x) - 4*p(x). Factor v(c).
-3*(c - 1)*(c + 1)*(c + 5)
Let y be (-51)/21 + (2/(-1) - -5). Factor 2/7*j**2 - y - 2/7*j.
2*(j - 2)*(j + 1)/7
Suppose 12 - 4 = 2*w. Factor -4*o**2 - 4*o**5 + 3*o**w + o**4 + 4*o**3 + 2*o - 2*o.
-4*o**2*(o - 1)**2*(o + 1)
Factor 0*v - 8/7*v**2 + 4/7*v**4 + 4/7*v**3 + 0.
4*v**2*(v - 1)*(v + 2)/7
Let v be 10/(-18) - (1 + -2). Suppose 2/3*p**3 - 2/9*p**4 + 0*p - v*p**2 + 0 = 0. What is p?
0, 1, 2
Suppose 3*o - 2*o - 1 = 0. Let d(a) = 2*a**2 - 2*a + 11. Let u(v) = v**2 - v + 1. Let n(s) = o*d(s) - 5*u(s). Let n(f) = 0. What is f?
-1, 2
Let w be 1 - 4/(-2) - 2. Let n be w/(-3) - 0 - -1. Find o such that n*o**2 + 0*o + 0 = 0.
0
Let f = -13 - -5. Let k be 1/(-4) + (-38)/f. Factor -4*d - 11*d**2 - 1/2 - k*d**4 - 12*d**3.
-(d + 1)**2*(3*d + 1)**2/2
Determine q so that 13*q**4 - 5*q**4 - 8*q - 4*q**4 + 2*q**3 + 6*q**3 - 4*q**2 = 0.
-2, -1, 0, 1
Let t(c) be the second derivative of -5*c**7/252 + 3*c**6/20 - c**5/3 - c**4/9 + 4*c**3/3 - 4*c**2/3 + 9*c. Solve t(f) = 0 for f.
-1, 2/5, 2
Let m(p) = 5*p**2 + 5*p - 2. Let a(y) be the second derivative of -11*y**4/12 - 11*y**3/6 + 2*y**2 + y. Let j(t) = 4*a(t) + 9*m(t). Factor j(x).
(x - 1)*(x + 2)
Let l = 18 + -33/2. Let 1 - l*p**4 + 5/2*p**3 - 5/2*p + 1/2*p**2 = 0. Calculate p.
-1, 2/3, 1
Suppose 12 = 5*j - 8. Let t = 4 - j. Factor -2/3*k**2 + t + 0*k.
-2*k**2/3
Let r(w) be the second derivative of -2/9*w**3 + 2*w - 1/18*w**4 - 1/3*w**2 + 0. Find v, given that r(v) = 0.
-1
Let w(z) = z**3 + z**2 + z + 1. Let a(m) = 4*m**4 - 19*m**3 + 13*m**2 - 3*m - 3. Let j(p) = -a(p) - 3*w(p). Factor j(r).
-4*r**2*(r - 2)**2
Factor 2/7*l**4 - 32/7*l**3 + 192/7*l**2 + 512/7 - 512/7*l.
2*(l - 4)**4/7
Let q(c) be the third derivative of -c**5/360 - c**4/24 - c**3/4 + 4*c**2. Factor q(y).
-(y + 3)**2/6
Let z(b) be the third derivative of b**7/525 - b**5/75 + b**3/15 - 23*b**2. What is x in z(x) = 0?
-1, 1
Factor 0 - 1/3*i**2 - 1/3*i.
-i*(i + 1)/3
Let m(c) be the third derivative of -c**5/48 + 5*c**3/24 - c**2. Suppose m(l) = 0. Calculate l.
-1, 1
Let m(o) be the second derivative of -o**4/42 + 4*o**3/21 - 3*o**2/7 + 6*o. Let m(s) = 0. Calculate s.
1, 3
Let u(r) be the third derivative of r**8/672 + r**7/420 - r**6/80 - r**5/120 + r**4/24 - 8*r**2. Factor u(c).
c*(c - 1)**2*(c + 1)*(c + 2)/2
Let p = 0 - -6. Factor 9*k**3 - p*k**4 + 8*k + 4*k - 15*k.
-3*k*(k - 1)**2*(2*k + 1)
What is w in -3/2*w**2 - 15/4*w**3 + 0*w + 9/4*w**4 + 0 = 0?
-1/3, 0, 2
Let x(v) = -v**3 + v**2. Let a(t) = 2*t**3 - 8*t**2 - 2*t. Suppose 6*l - 2*l = 0. Suppose l = -3*m + 8 + 4. Let k(c) = m*x(c) + a(c). Factor k(y).
-2*y*(y + 1)**2
Let n be (-13)/(-5) + (-8)/(-20). Suppose -d = 2*j - 10, 4*j - 11 - 9 = -n*d. Find f such that -1/4 + 1/4*f**2 + d*f = 0.
-1, 1
Let o(t) = t - 17. Let y be o(17). Let g(m) be the first derivative of y*m + 0*m**2 + 1/12*m**3 - 3. Factor g(k).
k**2/4
Let y(k) = 4*k**3 - 4*k**2 - 4*k - 1. Let z(u) = -u**3 + u**2 + u. Let s(f) = -y(f) - 5*z(f). Factor s(i).
(i - 1)**2*(i + 1)
Let w(t) be the second derivative of -9*t**6/10 + 36*t**5/5 - 22*t**4 + 32*t**3 - 24*t**2 - 2*t - 2. Determine j, given that w(j) = 0.
2/3, 2
Let k be 0/(2/(-6)*3). Find l such that k - 2/3*l - 4/3*l**2 - 2/3*l**3 = 0.
-1, 0
Suppose -3*d + 5 = -2*d. Let x be d/(-5)*(-3 - -1). Determine z so that -z**2 + 5*z**4 + 2*z**2 - x*z + 2*z**3 - 6*z**4 = 0.
-1, 0, 1, 2
Let v(g) be the first derivative of -3 + 0*g + 0*g**2 - 1/6*g**3. Factor v(i).
-i**2/2
Suppose -10*h + 17 = -33. Let d(t) be the second derivative of 1/30*t**6 + 0*t**4 + 0*t**3 + 0 + 0*t**2 - 2*t + 1/20*t**h. Factor d(o).
o**3*(o + 1)
Let b(f) = 3*f**4 + 4*f**3 + f**2 + 2*f - 2. Let y(s) = 25*s**4 + 33*s**3 + 8*s**2 + 17*s - 17. Let h(a) = 51*b(a) - 6*y(a). Factor h(m).
3*m**2*(m + 1)**2
Let r(l) be the third derivative of -l**5/600 + l**4/60 + l**3/12 + 23*l**2. Factor r(o).
-(o - 5)*(o + 1)/10
Let j(x) = 18*x + 144. Let p be j(-8). Determine h so that 0*h**2 + 0 + 1/2*h**3 - 1/4*h**5 - 1/4*h + p*h**4 = 0.
-1, 0, 1
Let s = 107 + -105. Factor 1/5*o**s + 1/5 + 2/5*o.
(o + 1)**2/5
Let j(k) = -2*k**4 - 8*k**3 + 4*k**2 - 2. Suppose -9*z - 5 = -4*z. Let i be (z - -2) + -1 + -1. Let q(u) = -u**3. Let y(t) = i*j(t) + 8*q(t). Factor y(g).
2*(g - 1)**2*(g + 1)**2
Let p(x) be the first derivative of -x**7/735 + x**6/420 + x**5/210 - x**4/84 + 3*x**2 + 1. Let l(u) be the second derivative of p(u). Factor l(r).
-2*r*(r - 1)**2*(r + 1)/7
Let x(u) = -8*u**3 + 282*u**2 - 5415*u + 34292. Let p(d) = -17*d**3 + 563*d**2 - 10830*d + 68583. Let t(l) = 3*p(l) - 7*x(l). Factor t(z).
5*(z - 19)**3
Let g(v) be the second derivative of 5*v**7/42 - 2*v**6/5 + v**5/5 + 5*v**4/6 - 3*v**3/2 + v**2 - 6*v. Solve g(h) = 0 for h.
-1, 2/5, 1
Let q(z) be the second derivative of -2*z**7/3 + 9*z**6/10 + 31*z**5/20 - 29*z**4/12 - z**3/2 + z**2 - 2*z. Suppose q(s) = 0. What is s?
-1, -2/7, 1/4, 1
Let v(c) be the second derivative of 2*c**4/9 + 2*c**3/3 - 4*c**2/3 - 16*c. Factor v(g).
4*(g + 2)*(2*g - 1)/3
Let h(o) = -4*o**2 - 6*o + 1. Let c(a) = -7*a**2 - 11*a + 1. Let q be 16/(-72) - 47/(-9). Let x(j) = q*h(j) - 3*c(j). What is y in x(y) = 0?
-2, -1
Let s(x) = x**4 - x**3 + x + 1. Let w(q) = -q**4 - 144*q**3 - 1470*q**2 - 6856*q - 12001. Let b(k) = 4*s(k) - w(k). Suppose b(d) = 0. Calculate d.
-7
Let h be (-5)/(-7 + 6 - 3/2). Suppose 2*q + q - 4*m = -11, 0 = -2*q + 4*m - 14. Factor -2/3*k**q + 4/3*k**h + 0 - 2/3*k.
-2*k*(k - 1)**2/3
Let a(n) be the first derivative of 18/5*n**5 + 3/4*n**4 - n**3 + 0*n**2 + 0*n + 3. Factor a(d).
3*d**2*(2*d + 1)*(3*d - 1)
Factor -1/3*p**3 + 0 - 1/3*p**2 + 1/3*p**4 + 1/3*p.
p*(p - 1)**2*(p + 1)/3
Let u(q) be the first derivative of 8/3*q**3 + 0*q + 10 - 9*q**4 - 10/3*q**6 + 0*q**2 + 48/5*q**5. Let u(a) = 0. Calculate a.
0, 2/5, 1
Let t(a) = -52*a**3 - 24*a**2 + 21*a - 4. Let s(o) = 209*o**3 + 97*o**2 - 83*o + 16. Let m(y) = -6*s(y) - 26*t(y). Find c such that m(c) = 0.
-1, 2/7
Let p be 21/(-6)*(-2)/1. Let l be -4 + p + 8/(-3). Let 0*u + 0 + l*u**4 - 2*u**3 + 3*u**2 = 0. What is u?
0, 3
Let v(l) be the second derivative of l**4/36 - l**2/6 + l. Let v(b) = 0. What is b?
-1, 1
Let t(r) be the second derivative of 1/45*r**6 + 0 - 1/45*r**5 + 1/9*r**3 - 1/27*r**4 - 1/9*r**2 - 1/189*r**7 + 7*r. Factor t(q).
-2*(q - 1)**4*(q + 1)/9
Let z = 9 + -4. Let j(b) = b**3 - 3*b**2 - 9*b - 5. Let q be j(z). Factor 2/3*f**3 + 2/3*f**2 - 2/3*f**4 - 2/3*f**5 + 0 + q*f.
-2*f**2*(f - 1)*(f + 1)**2/3
Factor 540*u + 5/4*u**3 + 45*u**2 + 2160.
5*(u + 12)**3/4
Let v(b) be the first derivative of -b**3/3 - b**2/2 - 11. Let v(q) = 0. What is q?
-1, 0
Let r(j) be the first derivative of -5*j**4/4 - 10*j**3/3 - 31. Find x such that r(x) = 0.
-2, 0
Let u = 13/15 + -7/15. Let n(h) be the first derivative of u*h + 2 + 1/10*h**4 + 3/5*h**2 + 2/5*h**3. Factor n(i).
2*(i + 1)**3/5
Let o = -6 + 9. Factor -2*t**2 + o*t - 2*t + 7*t**5 + t**4 - 2*t**3 + 1 - 6*t**5.
(t - 1)**2*(t + 1)**3
Suppose d - 6 = -2*d. Let f(b) = b**3 + 1 + 0 - 2*b**3 - b**4 - b**d. Let n(z) = 4*z**4 + 2*z**2 - 2. Let k(u) = 2*f(u) + n(u). Factor k(x).
2*x**3*(x - 1)
Let k(o) = o - 2. Let i be k(4). Solve 2/3*c**i + 0 + 2/3*c = 0 for c.
-1, 0
Let x(t) be the second derivative of 0*t**3 + 0*t**2 + t + 0 + 1/3*t**4. Factor x(w).
4*w**2
Suppose -25 = 5*f, 2*a - 3*f + 5 = -4*f. Let s(j) be the third derivative of 0*j**3 + 