/2*j**3 - 3 = 0?
-2, 1
Let r(t) be the first derivative of -t**6/120 + t**5/60 - t**4/96 - t**2 + 3. Let v(h) be the second derivative of r(h). Solve v(y) = 0 for y.
0, 1/2
Let s(i) be the third derivative of -i**8/252 + i**6/45 - i**4/18 - 11*i**2. Determine n so that s(n) = 0.
-1, 0, 1
Suppose -4*z + 22 - 6 = 0. Let k(h) be the first derivative of 1/20*h**5 - 1/12*h**3 + 1/24*h**6 + 0*h**2 + 0*h - 1/16*h**z + 1. Solve k(l) = 0.
-1, 0, 1
Suppose -q - 5*c - 9 = 2*q, -5 = -4*q - c. Let r(j) be the first derivative of -2 - 2/9*j**3 + 4/3*j**q - 8/3*j. Determine s so that r(s) = 0.
2
Let h(a) be the first derivative of 0*a**2 + 1/6*a**3 - 1/4*a + 10 + 0*a**4 - 1/20*a**5. Factor h(v).
-(v - 1)**2*(v + 1)**2/4
Let q(r) be the second derivative of r**5/35 - 2*r**4/21 - 2*r**3/21 + 4*r**2/7 + 4*r. Solve q(o) = 0 for o.
-1, 1, 2
Let s = 93 + -367/4. Let j = 1/4 + s. What is w in 1/2 + w - j*w**2 = 0?
-1/3, 1
Let b(k) be the first derivative of k**4/14 + 2*k**3/21 - 1. Let b(w) = 0. What is w?
-1, 0
Let o be 1/((-9)/(-2) + -4). Factor 2/7*v**o + 0 + 4/7*v.
2*v*(v + 2)/7
Suppose -3*k - k + 100 = 0. Factor l**3 - 23*l**4 + k*l**4 - l**5 - 2*l**2 + l - l**3.
-l*(l - 1)**3*(l + 1)
Let d(q) be the first derivative of 0*q**3 - 1/13*q**2 - 6 + 0*q + 1/26*q**4. Find v such that d(v) = 0.
-1, 0, 1
Suppose -5*c - 5*g = -25, -5*c = -4*g - 5 - 2. Factor -4/5*d**c - 1/5*d**4 - 6/5*d**2 - 4/5*d - 1/5.
-(d + 1)**4/5
Let h(a) = -4*a**2 - 8*a. Let p(l) = -l**2 - l. Let k(c) = -h(c) + 6*p(c). What is q in k(q) = 0?
0, 1
Let r(f) be the third derivative of 0*f + 0*f**3 + 1/105*f**7 + 0 + 1/60*f**6 - 1/12*f**4 + f**2 - 1/30*f**5. Suppose r(l) = 0. What is l?
-1, 0, 1
Let y = -41/6 - -7. Factor 0*u**2 + 0 - y*u**3 + 0*u.
-u**3/6
Let d(w) be the second derivative of 7*w**4/30 - 8*w**3/5 + 9*w**2/5 + 4*w + 2. Factor d(v).
2*(v - 3)*(7*v - 3)/5
Let a be 3/9 + (-46)/3. Let s be 3/2*(-20)/a. Factor -8/5 - 8/5*u - 2/5*u**s.
-2*(u + 2)**2/5
Factor 0 + 2/3*y**2 - 2/3*y.
2*y*(y - 1)/3
Let i(w) be the third derivative of w**6/100 + w**5/75 - 2*w**4/15 + w**2. Factor i(q).
2*q*(q + 2)*(3*q - 4)/5
Let n = 7/72 - -41/72. Suppose -2*u**2 - 1/2*u**4 + 0 - n*u - 11/6*u**3 = 0. What is u?
-2, -1, -2/3, 0
Let b(j) = -5*j**4 + 11*j**3 - 7*j**2 + 7*j - 3. Let q(s) = -s**2 + s**4 - 7 + 13 - s**3 - 5 - s. Let h(o) = b(o) + 3*q(o). Factor h(c).
-2*c*(c - 2)*(c - 1)**2
Suppose 6*n = n + 10. Factor -4*g - n + 1 + 3 + 2*g**2.
2*(g - 1)**2
Let i(u) be the third derivative of -u**7/210 + u**6/240 - u**4/24 - 3*u**2. Let f(l) be the second derivative of i(l). Let f(k) = 0. What is k?
0, 1/4
Suppose 3*y + 0*y - 33 = 0. Suppose 1 = -5*t + y. Factor 0 + 1/5*q**t - 2/5*q.
q*(q - 2)/5
Let v(y) = -y**2 + y + 2. Let s be v(0). Suppose 249*j = 254*j. Factor 1/4*b**s + 0*b + j.
b**2/4
Let w = 23/6 - 11/3. Let s(y) be the second derivative of y - 1/12*y**3 - 1/72*y**4 - w*y**2 + 0. Suppose s(d) = 0. Calculate d.
-2, -1
Let x(h) = 17*h - 2. Let a be x(-2). Let q be 6/(-15) - a/15. Factor n**3 - 2*n**2 + 3*n**2 - 3*n**2 + q*n - n.
n*(n - 1)**2
Factor 1/3*p**2 - 1/3 - 1/3*p**3 + 1/3*p.
-(p - 1)**2*(p + 1)/3
Find s, given that -8/9 - 8/9*s + 2/9*s**3 + 2/9*s**2 = 0.
-2, -1, 2
Let l(a) be the third derivative of a**8/1680 + a**7/840 - a**6/360 - a**5/120 + a**3/2 - a**2. Let j(r) be the first derivative of l(r). Factor j(v).
v*(v - 1)*(v + 1)**2
Let p be (-8)/60*40/(-32). Find s such that -1/6*s + 1/6*s**4 + 1/6*s**3 - p*s**2 + 0 = 0.
-1, 0, 1
Suppose 0 = r - 6*r + 4*p + 16, -4*p - 4 = -2*r. Suppose -r*c = 4*d - 5*d + 17, 16 = 2*d - 2*c. Factor -3*z**4 - 1 - 3*z**4 + 2*z + d*z**4 - 2*z**3 + 2*z**4.
(z - 1)**3*(z + 1)
Let 3/4*y**3 + 1/4*y**4 - 5/4*y**2 + 1/2*y + 0 - 1/4*y**5 = 0. What is y?
-2, 0, 1
Let b(g) be the second derivative of 1/15*g**7 + 0 + 73/50*g**5 + 28/15*g**3 + 37/75*g**6 + 3*g + 67/30*g**4 + 4/5*g**2. Let b(v) = 0. Calculate v.
-2, -1, -2/7
Suppose 29*c = 24*c + 30. Let t(b) be the second derivative of 0 - b + 1/15*b**3 - 1/10*b**4 + 3/50*b**5 - 1/75*b**c + 0*b**2. Suppose t(h) = 0. Calculate h.
0, 1
Let w = 32 + 16. Let d be w/9 - (-10)/(-5). Let -86/9*v**2 - 4/9 - 20/9*v**5 - d*v - 26/3*v**4 - 118/9*v**3 = 0. What is v?
-1, -1/2, -2/5
Factor 2/7*l - 6/7*l**2 + 0 + 4/7*l**3.
2*l*(l - 1)*(2*l - 1)/7
Let t be (-15)/14 + 24*7/112. Determine j so that 3/7*j**2 + t*j**3 + 0*j + 0 = 0.
-1, 0
Let q(x) = -6*x**4 - 23*x**3 + 17*x**2 + x. Let m(h) = -3*h**4 - 12*h**3 + 9*h**2. Let g(t) = 11*m(t) - 6*q(t). Find f, given that g(f) = 0.
-2, -1, 0, 1
Let g = -446/3 + 150. Find o such that -2/3 - g*o - 2/3*o**2 = 0.
-1
Let h be 5 + (2 - 12/3). Factor 7*a**3 - a**2 - 4*a**h + 3*a - 2 + 9*a**2.
(a + 1)*(a + 2)*(3*a - 1)
Let p be (-7)/(-22)*(-16)/(-14). Factor -2/11*i**3 - p*i**2 + 0 - 2/11*i.
-2*i*(i + 1)**2/11
Let r(l) be the third derivative of -49*l**6/24 - 7*l**5/3 - 5*l**4/6 + 8*l**2. Factor r(s).
-5*s*(7*s + 2)**2
Factor 0 + 8/5*d**3 + 0*d**4 - 4/5*d + 0*d**2 - 4/5*d**5.
-4*d*(d - 1)**2*(d + 1)**2/5
Let x be (8/(4/(-1)) + 2)/3. Let c(o) be the second derivative of 0 - 1/3*o**3 + 1/12*o**4 - 3*o + x*o**2. Factor c(h).
h*(h - 2)
Suppose -17 = 3*n + t + 3*t, -2*t = 5*n + 19. Let o = n + 5. Factor y**3 - 2*y**3 + 2*y**o + 0*y**3.
-y**2*(y - 2)
Let h(q) be the second derivative of -3*q**7/14 - 2*q**6/25 + 57*q**5/100 + q**4/5 - 2*q**3/5 - 9*q. Solve h(b) = 0.
-1, -2/3, 0, 2/5, 1
Let c = 1/216 + 859/1080. Let n(g) be the first derivative of -2 + c*g + 1/15*g**3 + 2/5*g**2. Solve n(h) = 0 for h.
-2
Let l be 23/3*((-76)/(-16) - 4). Factor -7/4*r**4 - 1/2 - 13/4*r - 27/4*r**2 - l*r**3.
-(r + 1)**3*(7*r + 2)/4
Factor 6/11*v**3 + 4/11*v**4 + 0 + 0*v**2 - 2/11*v.
2*v*(v + 1)**2*(2*v - 1)/11
Let k(d) be the third derivative of d**8/1344 - d**7/840 - d**6/240 + d**5/120 + d**4/96 - d**3/24 - 6*d**2. Factor k(r).
(r - 1)**3*(r + 1)**2/4
Suppose 3*h = -0*h. Suppose 2*a = -4*z + 5*z + 5, h = -5*z + 3*a + 3. Factor -4*w + 2 + 0*w**3 - w**4 + 3*w**3 - 2*w**3 - w + z*w**2.
-(w - 1)**3*(w + 2)
Let q(m) be the first derivative of m**6/18 - m**5/5 + m**4/4 - m**3/9 + 7. Determine p, given that q(p) = 0.
0, 1
Let q(y) = -y**2 - 8*y - 7. Let d be q(-6). Let o be (-142)/(-10) - (-1)/d. Factor -16/5 - 108/5*b**2 + 54/5*b**3 + o*b.
2*(3*b - 2)**3/5
Let g(r) be the third derivative of 0*r**3 - 1/40*r**6 + 1/70*r**7 + 2*r**2 + 0 - 1/336*r**8 + 1/60*r**5 + 0*r + 0*r**4. Factor g(b).
-b**2*(b - 1)**3
Let m = -178 + 178. Factor 1/4*w**3 + 0 - 1/2*w**4 + 1/4*w**5 + m*w**2 + 0*w.
w**3*(w - 1)**2/4
Let z(h) be the first derivative of 0*h + 0*h**4 + 3/8*h**2 + 3/8*h**3 - 4 - 3/40*h**5. What is w in z(w) = 0?
-1, 0, 2
Let i(j) be the second derivative of 0*j**4 - 3*j + 0*j**2 - 1/300*j**5 + 0 + 1/6*j**3 - 1/900*j**6. Let w(d) be the second derivative of i(d). Factor w(l).
-2*l*(l + 1)/5
Let u(a) = -7*a**4 - 7*a**3 + 6*a**2 - 4. Let c(n) = -n**4 - n**3 - 1. Let m(w) = 4*c(w) - u(w). Factor m(l).
3*l**2*(l - 1)*(l + 2)
Let j(p) be the first derivative of 4*p**3/3 - 16*p**2 + 48*p - 57. Factor j(v).
4*(v - 6)*(v - 2)
Suppose -2*h = 5*d + 2, 4*d - 5*h - 6 + 1 = 0. Factor -2/5*l**2 + d*l**3 + 0*l + 0 + 2/5*l**4.
2*l**2*(l - 1)*(l + 1)/5
Let a be ((-24)/(-30))/((-14)/(-5)). Let i = 164 - 1146/7. Factor a*o - 2/7*o**3 - 2/7*o**2 + i.
-2*(o - 1)*(o + 1)**2/7
Let y = -247/3 + 83. Let n(o) be the first derivative of 2/3*o + o**2 + 1/6*o**4 + y*o**3 + 2. Factor n(a).
2*(a + 1)**3/3
What is b in -2/5*b**2 + 0*b + 0 + 2/5*b**3 = 0?
0, 1
Let q(m) = -6*m**4 + 6*m**3 - 51*m + 45. Let u(f) = f**4 + 2*f**3 + f + 1. Let h(r) = q(r) + 3*u(r). Factor h(j).
-3*(j - 2)**3*(j + 2)
Let y(i) be the first derivative of 3*i**4/14 + 20*i**3/21 + i**2/7 - 12*i/7 - 37. Factor y(s).
2*(s + 1)*(s + 3)*(3*s - 2)/7
Let c = -18 - -20. Factor -6*n**3 + 210*n**4 - 3*n**3 + 12*n + 243*n**5 - 60*n**c - 96*n**5.
3*n*(n + 1)**2*(7*n - 2)**2
Factor 2/9*k + 0 - 2/9*k**3 + 0*k**2.
-2*k*(k - 1)*(k + 1)/9
Let v(d) be the second derivative of d**6/6 - 5*d**4/6 + 5*d**2/2 - d + 14. Factor v(i).
5*(i - 1)**2*(i + 1)**2
Let g(y) be the first derivative of y**7/105 - y**6/30 - 5*y**2/2 - 3. Let s(n) be the second derivative of g(n). Factor s(a).
2*a**3*(a - 2)
Let x = 15 + -11. Let p(n) = -36*n - 8*n**2 - x*n**3 + 36*n. Let t(g) = -g**3 - g**2. Let w(v) = p(v) - 6*t(v). Let w(u) = 0. What is u