+ 5 + 3/2*r**4. Factor g(v).
2*v**2*(v + 1)*(v + 2)
Let m(k) = -k**2 - k + 1. Let g(z) = 12*z**2 + 16*z - 4. Let x(n) = g(n) + 8*m(n). Find a, given that x(a) = 0.
-1
Suppose 4*i - 11 = 5*p, 0 = 4*p - 2 - 2. What is s in 0 + 1/6*s + 1/6*s**2 - 1/6*s**i - 1/6*s**3 = 0?
-1, 0, 1
Suppose 0 = -17*s + 13*s. Let a(o) be the third derivative of 0*o**3 + s*o + 3*o**2 + 0 + 1/30*o**5 + 1/18*o**4. Suppose a(d) = 0. Calculate d.
-2/3, 0
Let x(o) = 5*o**3 + 5*o**2 + 4*o + 4. Let v(b) = 9*b**3 + 9*b**2 + 7*b + 7. Let p = 10 + 2. Let q be 10/1*p/(-30). Let k(a) = q*v(a) + 7*x(a). Factor k(r).
-r**2*(r + 1)
Let x be (2 - 1) + (-7 - (-5 - 3)). Determine a so that 1/2 + 5*a**x - 9/4*a**3 - 13/4*a = 0.
2/9, 1
Suppose 5*q - 15 = -0. Let j = 89/3 + -29. Solve -2/3*m**2 + 2/3*m**4 + 0 + j*m - 2/3*m**q = 0 for m.
-1, 0, 1
Let z(a) = 6*a. Let m be z(4). Factor 8*k**3 + 5*k**4 + 15*k - m*k**2 - 6*k**4 - 16 + 17*k.
-(k - 2)**4
Let p(d) = -4*d + 3*d + 2*d - 2*d - 1. Let a(m) = -m**2 - 8*m - 7. Let o(f) = a(f) - 6*p(f). Find x, given that o(x) = 0.
-1
Suppose 2/15*r**5 + 0*r**2 + 0*r**3 + 0 + 0*r + 2/15*r**4 = 0. Calculate r.
-1, 0
Let x(i) be the first derivative of -4/21*i**3 - 4 - 1/7*i**2 + 1/14*i**4 + 4/7*i. Determine j, given that x(j) = 0.
-1, 1, 2
Let q(v) be the third derivative of v**7/1050 - v**6/600 - v**5/300 + v**4/120 + 12*v**2. Find g such that q(g) = 0.
-1, 0, 1
Let s be 77/49 - 3/(-7). Let g(p) be the second derivative of 1/3*p**3 + 1/24*p**4 + p**s + p + 0. Find d, given that g(d) = 0.
-2
Let r(o) be the second derivative of -o**5/60 + o**4/18 + 2*o. Factor r(i).
-i**2*(i - 2)/3
Let x(d) be the third derivative of d**7/735 - d**6/420 - d**5/210 + d**4/84 - 6*d**2. Suppose x(r) = 0. Calculate r.
-1, 0, 1
Let n(h) be the first derivative of 1 + 0*h**2 + 0*h - 2/3*h**3 + 1/180*h**6 + 0*h**4 + 1/60*h**5. Let q(k) be the third derivative of n(k). Factor q(w).
2*w*(w + 1)
Let b(v) = -2*v - 25. Let p be b(-13). Let s(n) = -n**2 + 6*n - 6. Let d be s(4). Factor p + 1/2*t - 1/2*t**d.
-(t - 2)*(t + 1)/2
Let f(l) be the third derivative of -7*l**2 + 0*l - 1/132*l**4 + 2/33*l**3 + 0 + 1/660*l**6 - 1/165*l**5. Factor f(c).
2*(c - 2)*(c - 1)*(c + 1)/11
Let r(q) be the second derivative of q**5/60 + q**4/18 - q**3/18 - q**2/3 + 24*q. What is s in r(s) = 0?
-2, -1, 1
Let w(l) be the first derivative of -5*l**6/6 + 108*l**5/5 - 199*l**4 + 2114*l**3/3 - 735*l**2/2 - 686*l + 37. Factor w(g).
-(g - 7)**3*(g - 1)*(5*g + 2)
Let i(w) = -6*w**4 + 3*w**2 - 3*w. Let r(l) = -l**5 + 13*l**4 + l**3 - 6*l**2 + 7*l. Let f(n) = -7*i(n) - 3*r(n). Factor f(q).
3*q**2*(q - 1)*(q + 1)**2
Let w be (24/(-16))/((-54)/(-128)) + 4. Let w - 2/9*n**2 - 2/9*n = 0. What is n?
-2, 1
Let c be (-3 - (-100)/28) + (-52)/238. Let 0 - 2/17*p**2 - c*p = 0. Calculate p.
-3, 0
Let w(i) = 4*i**5 + 21*i**4 + 7*i**3 - 16*i**2 - 11*i + 5. Let l(x) = 2*x**5 + 11*x**4 + 3*x**3 - 8*x**2 - 5*x + 3. Let n(o) = -10*l(o) + 6*w(o). Factor n(u).
4*u*(u - 1)*(u + 1)*(u + 2)**2
Let s(a) be the third derivative of -a**5/60 + 11*a**4/12 - 121*a**3/6 - 13*a**2. Factor s(p).
-(p - 11)**2
Let h(l) be the first derivative of -l**7/1260 - l**3 - 3. Let k(m) be the third derivative of h(m). Factor k(w).
-2*w**3/3
Suppose -10/9*q + 8/9 + 2/9*q**2 = 0. Calculate q.
1, 4
Let u(y) be the third derivative of -y**10/25200 + y**9/6048 - y**8/5040 - y**5/60 + 3*y**2. Let g(q) be the third derivative of u(q). Solve g(v) = 0.
0, 2/3, 1
Suppose 20 - 55 = -7*l. Let 0*d + 0 - 8/5*d**2 - 12/5*d**3 + 4/5*d**l + 0*d**4 = 0. What is d?
-1, 0, 2
Suppose 2*w + t + 3*t - 26 = 0, w = 3*t - 7. Suppose 3*n = w*o - o - 8, 31 = 3*o + 4*n. Factor 2/3*z**o - 2/3*z - 4/3*z**2 + 0*z**3 + 4/3*z**4 + 0.
2*z*(z - 1)*(z + 1)**3/3
Factor 3 - 10*x + 3*x**2 + 10*x**4 - 26*x + 2*x**4 + 36*x**3 + 9.
3*(x + 2)**2*(2*x - 1)**2
Factor -10/11*d**2 + 18/11 - 6/11*d - 2/11*d**3.
-2*(d - 1)*(d + 3)**2/11
Let p(v) = -v**2 - v. Let y(q) = 2*q**2 + 5*q - 1. Let a = 1 + 5. Let u(j) = a*p(j) + 2*y(j). Find s, given that u(s) = 0.
1
Let u(k) = -18*k**2 - 41*k + 23. Let v(m) = 6*m**2 + 14*m - 8. Suppose 4*s - 2*s - 4 = 0. Suppose -8 + 0 = -s*o. Let h(q) = o*u(q) + 11*v(q). Factor h(d).
-2*(d + 2)*(3*d - 1)
Let i be (-206 - 0)*3/38. Let x = -491/133 - i. Solve 180/7*b**2 + 54/7*b**4 + 16/7 - x*b - 162/7*b**3 = 0 for b.
2/3, 1
Let l(f) be the first derivative of -4/3*f**3 + 0*f**4 + 2/5*f**5 + 2*f + 0*f**2 - 2. Factor l(s).
2*(s - 1)**2*(s + 1)**2
Let b(m) = m + 19. Let r be b(-17). Factor 0 - 4/3*f**r - 2/3*f**3 - 2/3*f.
-2*f*(f + 1)**2/3
Let f(x) = 6*x - 195. Let k be f(33). Solve -10/3*n**2 + 4/3*n - 14/3*n**k + 0 = 0.
-1, 0, 2/7
Let k = -21 - -23. Suppose 2*h**4 + 11*h**3 - k*h + 6*h**2 - 4*h**3 - 13*h**3 = 0. Calculate h.
0, 1
Let q(f) be the second derivative of -f**7/399 + f**6/285 + 12*f. Determine n, given that q(n) = 0.
0, 1
Suppose 4/11*w**4 + 0 + 2/11*w**5 + 0*w + 2/11*w**3 + 0*w**2 = 0. Calculate w.
-1, 0
Let b(s) be the first derivative of 2*s**3/21 - 2*s**2/7 + 13. Determine g so that b(g) = 0.
0, 2
Let y(p) = 7*p**2 - 4*p + 5. Let c(t) = 0 + 2*t**2 - 3*t**2 + 1 + 2*t**2. Let m(h) = 5*c(h) - y(h). Factor m(w).
-2*w*(w - 2)
Let t(p) be the second derivative of p**4/30 + 2*p**3/5 + 9*p**2/5 - 2*p + 8. Factor t(h).
2*(h + 3)**2/5
Let l(s) be the third derivative of 0*s + 1/15*s**5 + 1/20*s**6 - 2*s**2 + 0 + 0*s**3 + 1/336*s**8 + 1/24*s**4 + 2/105*s**7. Factor l(t).
t*(t + 1)**4
Solve -4/5 - 1/5*c**2 - 4/5*c = 0.
-2
Let z(v) be the second derivative of v**6/20 - 9*v**5/40 + 3*v**4/8 - v**3/4 + 26*v. Factor z(n).
3*n*(n - 1)**3/2
Let w be (-3)/6 + 2/(-4). Let g be 3 + w + 12/(-15). Factor 0 + 4/5*d + 2/5*d**3 + g*d**2.
2*d*(d + 1)*(d + 2)/5
Let c(x) be the third derivative of x**2 + 0*x + 0 - 1/60*x**5 - 1/6*x**3 - 1/12*x**4. Factor c(n).
-(n + 1)**2
Let t(j) be the third derivative of -j**7/315 + j**6/60 - j**5/90 - j**4/12 + 2*j**3/9 + 15*j**2. Solve t(s) = 0.
-1, 1, 2
Let a = -97/51 - -38/17. Factor -1/3*l**2 - a - 2/3*l.
-(l + 1)**2/3
Let w be (-8 - -10) + 1 + 1. Suppose o + 8*o - w - 6*o - 2*o**2 - 9*o = 0. What is o?
-2, -1
Let l(z) be the first derivative of z**6/24 - 2*z**5/5 + 25*z**4/16 - 19*z**3/6 + 7*z**2/2 - 2*z + 8. Solve l(p) = 0.
1, 2
Let a(c) be the first derivative of 0*c + 0*c**2 - 2 - 3/28*c**4 + 1/7*c**3. Solve a(z) = 0 for z.
0, 1
Let l = -233/20 - -62/5. Factor -l*f**4 + 0 + 3/4*f - 3/4*f**3 + 3/4*f**2.
-3*f*(f - 1)*(f + 1)**2/4
Let b(u) be the first derivative of 0*u**3 - 1/18*u**4 - u + 1/3*u**2 + 2. Let n(m) be the first derivative of b(m). Factor n(r).
-2*(r - 1)*(r + 1)/3
Solve 20*i**3 + 182*i**2 + 35*i**4 - 368*i**2 + 186*i**2 = 0 for i.
-4/7, 0
Let k(r) = 4*r**3 + 15*r**2 - 3*r - 7. Suppose -5*g + 35 = -0*g. Let i(o) = 2*o**3 + 7*o**2 - o - 3. Let h(c) = g*i(c) - 3*k(c). Factor h(s).
2*s*(s + 1)**2
Let j = -32453/30 - -7081/6. Let b = 99 - j. Factor b*c + 2/5 + 1/5*c**2.
(c + 1)*(c + 2)/5
Suppose 3*l - 2 - 4 = 0. Factor -3*s**2 - 1 + 2*s**2 + 0 + l.
-(s - 1)*(s + 1)
Factor -3/2 - 9/2*n - 3/2*n**3 - 9/2*n**2.
-3*(n + 1)**3/2
Let g be 12/(-36) + (-14)/(-6). Let h = 5 + -3. Find c, given that 3*c**3 + 2*c**4 + c**g + 2*c + 5*c**h + 3*c**3 = 0.
-1, 0
Let l(j) be the first derivative of j**4/18 + 8*j**3/9 + 16*j**2/3 - j - 3. Let v(p) be the first derivative of l(p). Factor v(b).
2*(b + 4)**2/3
Suppose -i + 16 = -4*m, -5*i + 52*m - 51*m = -23. Factor 0*j**2 + 0 + 0*j - 1/2*j**i - 1/2*j**3.
-j**3*(j + 1)/2
Let x be (8 - 0)/(3 + -1). Suppose 5*b + x = -2*q + 14, 4*b - 4*q = 8. What is t in -5*t + 4*t + t**b + 2*t = 0?
-1, 0
Let u(z) be the second derivative of z**5/60 - z**4/8 + z**3/3 - 3*z**2/2 - 2*z. Let m(r) be the first derivative of u(r). Factor m(p).
(p - 2)*(p - 1)
Let w(y) be the third derivative of y**5/240 - y**4/48 + 33*y**2. Solve w(v) = 0.
0, 2
Factor 3/2*h + 1/2*h**5 - 2*h**3 + 0*h**4 - h**2 + 1.
(h - 2)*(h - 1)*(h + 1)**3/2
Let u(l) = -8*l - 2. Let r be u(-2). Factor -8*b**2 + 3*b - 10*b**2 + r*b**3 + b + 0*b.
2*b*(b - 1)*(7*b - 2)
Let h(f) be the first derivative of -f**4/9 - 2*f**3/9 - f**2/9 - 9. Determine p, given that h(p) = 0.
-1, -1/2, 0
Factor 0 - 6/23*l + 26/23*l**2 - 8/23*l**3.
-2*l*(l - 3)*(4*l - 1)/23
Let j(b) = 3*b + 3. Let v be j(-3). Let a = 10 + v. Factor -a*k**4 + 0*k**5 - 2*k**3 + k**3 - 3*k**5.
-k**3*(k + 1)*