 = -6*v(g) - 10*w(g). Let y(l) = 0. What is l?
7
Let o = 2 - -1. Factor 0*z**2 - o*z**4 + 2*z**5 - 3*z**3 + 2*z**5 - z**2 - 5*z**5.
-z**2*(z + 1)**3
Solve -111*h**3 + 3*h**2 + 0*h**2 + 105*h**3 - 3*h**4 + 6*h**4 = 0 for h.
0, 1
Find r such that -6/7*r - 4/7 - 2/7*r**2 = 0.
-2, -1
Let i(t) be the first derivative of -t**7/42 - t**6/40 + 7*t**5/60 + t**4/8 - t**3/3 + t**2/2 + 3. Let u(d) be the second derivative of i(d). Factor u(b).
-(b - 1)*(b + 1)**2*(5*b - 2)
Let i(v) be the third derivative of -v**6/120 - v**5/20 + v**3/6 + 2*v**2. Let c(a) be the first derivative of i(a). What is u in c(u) = 0?
-2, 0
Let l(j) be the second derivative of j**7/168 - j**6/240 - 7*j**5/160 + 7*j**4/96 + j**3/48 - j**2/8 - 2*j. Factor l(h).
(h - 1)**3*(h + 2)*(2*h + 1)/8
Let c be 3003/56*14/3. Let v = 252 - c. Solve -1/2*u**3 - v*u**2 + 1 - u = 0.
-2, 1/2
Let c(g) be the second derivative of g**6/75 - 7*g**5/50 + 13*g**4/30 + g**3/5 - 18*g**2/5 - 25*g. Factor c(m).
2*(m - 3)**2*(m - 2)*(m + 1)/5
Let f(j) be the first derivative of -2*j**5/45 - 2*j**4/9 - 2*j**3/9 - 12. Factor f(d).
-2*d**2*(d + 1)*(d + 3)/9
Let 5*u**3 + 3/2*u**4 + 11/2*u + 3/2 + 23/3*u**2 + 1/6*u**5 = 0. What is u?
-3, -1
Let s = 332 - 332. Solve -1/3*f**2 + s*f - 2/3*f**3 + 0 = 0 for f.
-1/2, 0
Factor 2/9*h**5 + 0 + 4/3*h**3 - 8/9*h**2 + 2/9*h - 8/9*h**4.
2*h*(h - 1)**4/9
Let j be (1 - (-6)/4)*(-28)/(-35). Let 1/3*h**3 - 4/3*h**4 + 1/3*h**5 - 4/3*h - 8/3 + 10/3*h**j = 0. Calculate h.
-1, 2
Factor -q**3 + 0 - 5/2*q**4 + q + 5/2*q**2.
-q*(q - 1)*(q + 1)*(5*q + 2)/2
Let l(p) be the third derivative of -p**6/40 + 3*p**4/8 + p**3 - 23*p**2. Determine x so that l(x) = 0.
-1, 2
Let p = 5/12 - -47/60. Let g = -169 + 849/5. Factor 1/5 + g*l + 4/5*l**3 + p*l**2 + 1/5*l**4.
(l + 1)**4/5
Let r(u) be the second derivative of u**4/60 + u**3/30 + 4*u. Suppose r(z) = 0. What is z?
-1, 0
Let r(q) = -q**2 - 6*q. Let z(x) = 9*x**2 + 48*x. Suppose 0 = -l + 2*l - 33. Let u(w) = l*r(w) + 4*z(w). Factor u(p).
3*p*(p - 2)
Let i be (-9854)/56 + (-3)/(-12). Let s = 176 + i. Let -2/7*p**2 - s*p + 0 = 0. What is p?
-1, 0
Let p(r) be the second derivative of -5*r**5/4 - 35*r**4/12 - 5*r**3/3 + 33*r. Solve p(c) = 0 for c.
-1, -2/5, 0
Let m be 3 + (4316/(-720) - -3). Let v(f) be the third derivative of 1/72*f**4 + 0*f + 0*f**3 + 0 - m*f**5 - 3*f**2. Factor v(r).
-r*(r - 1)/3
Suppose 0 = 4*w - 4*d + 4, 3*w + 2 = 6*w + 2*d. Let 0*m - 2/7*m**3 + w + 2/7*m**2 = 0. Calculate m.
0, 1
Let k = -6 - -2. Let a be 143/66 - 2/k. Determine b, given that a*b - 8/3 - 2/3*b**2 = 0.
2
Factor 210*g**4 + 75*g**5 + 624/5*g - 96/5 - 1104/5*g**2 - 24*g**3.
3*(g + 2)**2*(5*g - 2)**3/5
Let i(q) be the first derivative of q**6/48 + 3*q**5/40 + q**4/16 - q**3/12 - 3*q**2/16 - q/8 - 19. Suppose i(s) = 0. Calculate s.
-1, 1
Let a(k) be the first derivative of k**5/3 + 37*k**4/12 + 64*k**3/9 + 10*k**2/3 + 11. Find j such that a(j) = 0.
-5, -2, -2/5, 0
Let d = 961624/293 - 3282. Let v = d + 596/1465. What is i in 4/5*i + v*i**2 + 2/5 = 0?
-1
Let r(a) be the second derivative of a**6/165 + a**5/110 - a**4/66 - a**3/33 + a. Suppose r(t) = 0. What is t?
-1, 0, 1
Let f(z) be the first derivative of 1 + 11/8*z**2 + 1/2*z + 3/4*z**3. Determine a so that f(a) = 0.
-1, -2/9
Let y be -2 - (1 + 62/2). Let i(h) = 29*h**2 + 11*h + 17. Let d(f) = -5*f**2 - 2*f - 3. Let s be (-6)/24 + 23/(-4). Let q(g) = s*i(g) + y*d(g). Factor q(t).
-2*t*(2*t - 1)
Let a(s) be the second derivative of s**7/252 + s**6/36 + 3*s**5/40 + 7*s**4/72 + s**3/18 + 16*s. Factor a(l).
l*(l + 1)**3*(l + 2)/6
Suppose 0 = -2*p - 0*p. Suppose p = -g - 4*g + q + 12, q = 2*g - 3. Determine n so that 2/5*n**2 - 2/5*n - 2/5 + 2/5*n**g = 0.
-1, 1
Let v be ((-5)/2)/(3/(-6)). Suppose -2*k + 12 = -5*k. Let w(b) = 20*b**2 - 3*b - 2. Let s(r) = 20*r**2 - 3*r - 2. Let c(z) = k*s(z) + v*w(z). Factor c(d).
(4*d + 1)*(5*d - 2)
Let i be -3 - 1/(12/(-31)). Let k = i - -3/4. What is b in -k*b**3 + 0 - 1/3*b - 2/3*b**2 = 0?
-1, 0
Determine q, given that -q - 1/6*q**2 - 3/2 = 0.
-3
Let v(b) be the first derivative of 2*b**5/15 + 5*b**4/6 + 2*b**3 + 7*b**2/3 + 4*b/3 + 2. Factor v(u).
2*(u + 1)**3*(u + 2)/3
Suppose 3 = -4*d + 19. Factor -y + 2 + 0*y**2 - d*y**2 + 2*y**2 + y**3.
(y - 2)*(y - 1)*(y + 1)
Let q(k) be the first derivative of -2*k**3/45 + 7*k**2/15 - 25. What is b in q(b) = 0?
0, 7
Let t(j) be the third derivative of -j**7/175 - j**6/300 - 12*j**2. Factor t(x).
-2*x**3*(3*x + 1)/5
Let t(z) = -z**2 + 2*z - 5. Let y(m) = 9*m**2 - 16*m + 41. Let r(v) = 51*t(v) + 6*y(v). Factor r(u).
3*(u - 1)*(u + 3)
Let i(z) be the third derivative of -z**5/15 - 4*z**4 - 96*z**3 - 28*z**2. Suppose i(n) = 0. Calculate n.
-12
Let g(p) be the third derivative of -p**5/120 + 5*p**4/24 - 3*p**3/4 + 5*p**2. Find t such that g(t) = 0.
1, 9
Let n = -11/4 + 5/4. Let k = n + 2. Factor -1/2*q**5 + k*q + 0 + q**4 + 0*q**3 - q**2.
-q*(q - 1)**3*(q + 1)/2
Let o(x) be the second derivative of x**6/15 + 3*x**5/10 + x**4/2 + x**3/3 + 2*x. Solve o(f) = 0 for f.
-1, 0
Solve 2/15*m + 0 + 2/15*m**3 + 4/15*m**2 = 0.
-1, 0
Let d be 4 + 0 + -1 + (-3)/3. Factor 0*f**3 + 0 + 3/2*f**4 + 0*f - 3/2*f**d.
3*f**2*(f - 1)*(f + 1)/2
Factor -6/5*h**4 - 24/5*h**2 + 4*h**3 - 2/5 + 12/5*h.
-2*(h - 1)**3*(3*h - 1)/5
Factor 0*a**3 + 0*a + 0 + 4/11*a**2 + 1/11*a**5 - 3/11*a**4.
a**2*(a - 2)**2*(a + 1)/11
Let d(u) be the third derivative of -u**9/7560 + u**8/1120 - u**7/420 + u**6/360 + u**4/12 + 3*u**2. Let f(p) be the second derivative of d(p). Factor f(c).
-2*c*(c - 1)**3
Let z(w) be the second derivative of -w**5/80 + w**4/48 + w**3/4 + 24*w. Factor z(t).
-t*(t - 3)*(t + 2)/4
Let f(g) be the third derivative of 2/15*g**5 - 1/3*g**4 + 0*g**3 - 5*g**2 - 1/60*g**6 + 0*g + 0. Factor f(d).
-2*d*(d - 2)**2
Let d(w) = -2*w**2 - 5*w. Let r(t) = 3*t**2 + 9*t. Let b(k) = -5*d(k) - 3*r(k). Factor b(g).
g*(g - 2)
Solve 0 - 80/7*p**2 - 4*p**4 - 72/7*p**3 - 4/7*p**5 - 32/7*p = 0 for p.
-2, -1, 0
Suppose -2*x - x + 18 = 0. Find g, given that -2*g**3 - g**4 + g**2 + 3*g**2 - x*g**2 + g**2 = 0.
-1, 0
Let i = -20/3 - -49/6. Let 0*w - 3/2*w**3 + 0 - i*w**2 = 0. What is w?
-1, 0
Let k = -1 + 1. Determine u, given that -1/3*u + k*u**2 + 1/3*u**3 + 0 = 0.
-1, 0, 1
Suppose 0 = -4*w - 30 - 34. Let t be 8/w - 1/(-2). What is q in 0 - 7/3*q**4 + 0*q - 5/3*q**5 + t*q**2 - 2/3*q**3 = 0?
-1, -2/5, 0
Let q be 16/56 + (-40)/(-7). Let x = q - 6. Factor 1/4*j**5 - 1/2*j**3 + x + 0*j**4 + 0*j**2 + 1/4*j.
j*(j - 1)**2*(j + 1)**2/4
Suppose 23*r - 37 = 9. Factor 5/2*h**2 + 8*h - 7/2*h**3 + r.
-(h - 2)*(h + 1)*(7*h + 2)/2
Let r(b) = -3*b + 6. Let c be r(-10). Let j = c - 34. Factor s + 1/3*s**4 - s**3 - 2/3 + 1/3*s**j.
(s - 2)*(s - 1)**2*(s + 1)/3
Let o(w) be the third derivative of 0*w**3 + 0 + 1/40*w**5 + 0*w - 4*w**2 - 1/16*w**4. Suppose o(j) = 0. What is j?
0, 1
Factor 24*x + 52 + 20*x**2 + 51 - 99.
4*(x + 1)*(5*x + 1)
Let j(m) = m**3 + 10*m**2 + 8*m - 7. Let o be j(-9). Factor 240*d + o*d**4 + 0*d**3 - 2*d**3 - 2*d**2 - 238*d.
2*d*(d - 1)**2*(d + 1)
Let q(h) be the third derivative of -h**8/84 - 2*h**7/105 + h**6/30 + h**5/15 + 11*h**2. Factor q(s).
-4*s**2*(s - 1)*(s + 1)**2
Let t(s) = s**5 + s**4 + s. Let p(j) = -3*j**5 - j**4 - 4*j**2 - 7*j. Let g(q) = -p(q) - 5*t(q). What is w in g(w) = 0?
-1, 0, 1
Let c(q) = -q**2 - 32*q - 192. Let a be c(-8). Factor a*h - 1/2*h**5 + 0*h**3 + 0*h**2 + 1/2*h**4 + 0.
-h**4*(h - 1)/2
Let d = 1/45 - -1/5. Determine r, given that 2/3*r**2 - d*r**3 - 4/9*r + 0 = 0.
0, 1, 2
Suppose -2*f - 2*f = -12. Let 18*g - 6*g**2 - 1 - 8*g**2 - f = 0. What is g?
2/7, 1
Let b(d) be the third derivative of d**4/12 + 3*d**2. Let i(g) = -g**2 + 3*g + 1. Let h(p) = 3*b(p) - 2*i(p). Factor h(q).
2*(q - 1)*(q + 1)
Let v(y) = -y**3 - 15*y**2 - 24*y + 26. Let t be v(-13). Factor 0 + 1/6*h**5 + t*h + 0*h**2 - 1/6*h**3 + 0*h**4.
h**3*(h - 1)*(h + 1)/6
Suppose z + 4 = 6. Find l, given that 0*l + 1/3*l**z + 0 - 1/3*l**3 = 0.
0, 1
Let q be 30/(-5)*2/(-4). Let w be (-3)/(18/14) + q. Factor -w*c**2 + 0*c + 0.
-2*c**2/3
Let l(n) = -1. Suppose -3*j + 9 = -0*j. Suppose c + r = -j, 1 = 2*c + r + 10. Let h(t) = -3*t**2 + 8*t - 7. Let k(g) = c*l(g) + 2*h(g). Factor k(u).
-2*(u - 2)*(3*u - 2)
Let h be ((-12)/(-4))/(21/2). Find p such that h*p**4 + 0*p + 0*p**2 + 0 + 2/7*p**3 = 0.
-1, 0
Suppose 