2*y**7/945 - 2*y**6/135 + y**5/135 + 7*y**4/108 - 4*y**3/27 + 2*y**2. Factor s(g).
2*(g - 1)**3*(g + 1)*(g + 4)/9
Let j(a) = a**2 + 4*a - 5. Let z be (-3)/(-3) - (-1 - 1). Let m(b) = b**2 + 5*b - 6. Let g(f) = z*m(f) - 4*j(f). Factor g(w).
-(w - 1)*(w + 2)
Let k(m) be the second derivative of -m**5/100 - m**4/20 + m**3/5 + 4*m**2/5 - 16*m. Factor k(o).
-(o - 2)*(o + 1)*(o + 4)/5
Let t be (10/(-28))/((-6)/192). Let s = -386/35 + t. What is l in 0*l + s*l**2 - 4/5*l**3 + 0 + 2/5*l**4 = 0?
0, 1
Suppose 32/7 + 18/7*p**2 + 48/7*p + 2/7*p**3 = 0. What is p?
-4, -1
Let p(s) = 3*s**2 + s. Let j be p(-1). Solve -q - 2*q**2 + q - q**j - 3*q = 0 for q.
-1, 0
Solve -25*p**4 + 20*p**4 + 13*p**2 - 20*p**3 + 12*p**2 = 0.
-5, 0, 1
Factor -5 - 7 + 12*j**2 + 16*j**3 + 2*j - 18*j**3.
-2*(j - 6)*(j - 1)*(j + 1)
Let y = -75 + 78. Suppose 0*c - 2*c**4 + 4/7*c**2 - 10/7*c**y + 0 = 0. What is c?
-1, 0, 2/7
Let d(b) = b**3 + 3. Let o be d(0). Find p such that 3 - p**2 - 2*p + 0*p**2 - o = 0.
-2, 0
Let b be 2/5 + 56/10. Let f be (3/b)/(1/6). Factor -f*j**5 - j**3 + 3*j**5 + j**5 + j**2 - j**4.
j**2*(j - 1)**2*(j + 1)
Let p(h) = h**2 + 5*h - 14. Let x be p(2). Factor 2/5*k**2 + 2/5*k + x.
2*k*(k + 1)/5
Let y(d) be the third derivative of d**6/120 - d**5/60 - d**4/24 + d**3 - 7*d**2. Let k(p) be the first derivative of y(p). Find m such that k(m) = 0.
-1/3, 1
Let w(h) = h**3 - 10*h**2 + 9*h + 3. Let d be w(9). Let a(s) be the first derivative of 0*s + 3/4*s**4 - d + 1/2*s**2 + 5/3*s**3 - 9/5*s**5. Factor a(v).
-v*(v - 1)*(3*v + 1)**2
Let t(w) be the third derivative of -w**8/10080 + w**7/1260 - w**6/360 - w**5/15 - w**2. Let f(l) be the third derivative of t(l). Let f(q) = 0. Calculate q.
1
Determine p so that -1/5*p**5 + 2/5*p**2 + 0 + 1/5*p - 2/5*p**4 + 0*p**3 = 0.
-1, 0, 1
Let v(d) be the second derivative of -d**7/189 + 8*d**6/135 - 5*d**5/18 + 19*d**4/27 - 28*d**3/27 + 8*d**2/9 + d. Determine b so that v(b) = 0.
1, 2
Let p be (-60)/(-10) + -2 + -1. Let l(u) = -3*u - 3. Let z be l(-2). Determine j so that 0 - 3/2*j**z + 0*j + 3/2*j**4 - p*j**2 = 0.
-1, 0, 2
Let v(j) be the second derivative of j**2 - 1/5*j**6 - j**3 + 1/5*j**5 + 1/3*j**4 + 3*j + 0 + 1/21*j**7. Find y such that v(y) = 0.
-1, 1
Factor -3/4*o**2 + 0 + 0*o - 9/4*o**4 - 3/4*o**5 - 9/4*o**3.
-3*o**2*(o + 1)**3/4
Let l(z) be the second derivative of z**5/50 - 2*z**4/15 + z**3/5 - 7*z. Factor l(n).
2*n*(n - 3)*(n - 1)/5
Let q(s) be the second derivative of -s**9/4536 + s**8/1260 - s**7/1260 + s**3/6 - 3*s. Let c(i) be the second derivative of q(i). Factor c(x).
-2*x**3*(x - 1)**2/3
Let j(h) be the second derivative of h**6/70 - 9*h**5/140 + 2*h**3/7 + 4*h. Factor j(d).
3*d*(d - 2)**2*(d + 1)/7
Suppose 99 = z + 2*r + 29, 5*r + 10 = 0. Let g = 224/3 - z. Solve -5/3*q**5 - 2/3*q**4 - 5/3*q + 4/3*q**2 - g + 10/3*q**3 = 0.
-1, -2/5, 1
Let w(o) be the third derivative of 2*o**7/105 + o**6/30 - o**5/15 - o**4/6 + 13*o**2. Suppose w(z) = 0. What is z?
-1, 0, 1
Let k be (-344)/207*2/4. Let l = -14/23 - k. Find i, given that 2/9*i - l*i**2 + 0 = 0.
0, 1
Factor 0*x**2 + 22*x**3 + x**4 - 20*x**3 - 2*x - x**2.
x*(x - 1)*(x + 1)*(x + 2)
Let p(g) be the second derivative of g**8/168 + g**7/42 + g**6/30 + g**5/60 + 7*g**2/2 + 4*g. Let j(k) be the first derivative of p(k). Factor j(t).
t**2*(t + 1)**2*(2*t + 1)
Let g(p) be the third derivative of -p**8/112 + p**6/40 - p**2 - 34. Suppose g(d) = 0. Calculate d.
-1, 0, 1
Let w be (6 + -1)*(-12)/(-10). Let b be (-3)/((-1)/4*w). Let -2/5*a**b + 2/5 + 0*a = 0. What is a?
-1, 1
Let g(w) = w**3 - 19*w - 10. Let b be g(-4). Factor 0 + 2/3*p**b - 2*p.
2*p*(p - 3)/3
Let m(z) = 8*z**3 - 30*z**2 + 96*z - 128. Let h(t) = -t**3 + t**2. Let w(a) = -6*h(a) - m(a). Suppose w(x) = 0. Calculate x.
4
Suppose 16 = 5*p + 2*z, -2*p + 16 = 5*z - 3. Factor -1/2 + 1/2*f**p + 0*f.
(f - 1)*(f + 1)/2
Let r(b) be the second derivative of -b**7/3360 - b**3/3 - b. Let l(g) be the second derivative of r(g). Factor l(u).
-u**3/4
Suppose 3*f - 15 = -5*k, -f - f = -2*k - 10. Let j(c) be the first derivative of 0*c**2 + k*c + 2 - 2/15*c**3. Solve j(h) = 0 for h.
0
Let z be (-849)/189 - -5 - (-2)/(-7). Suppose 2/9*h**4 + z*h**2 + 0*h + 4/9*h**3 + 0 = 0. Calculate h.
-1, 0
Let v(d) be the third derivative of d**8/13440 - d**7/1120 + d**6/240 - 7*d**5/60 - 4*d**2. Let b(c) be the third derivative of v(c). Factor b(u).
3*(u - 2)*(u - 1)/2
Suppose -5*j + j = 0. Suppose 3*i - 4*a - 11 = -0*i, j = 2*i - 3*a - 7. Solve -3/5*l**4 + 3/5*l**i + 3/5*l**2 - 3*l**3 + 24/5*l + 12/5 = 0.
-1, 2
Let d(n) = 4*n**3 + 2*n**2 - 4*n - 2. Let p(g) = 9*g**3 + 5*g**2 - 9*g - 5. Let y(f) = -14*d(f) + 6*p(f). Factor y(c).
-2*(c - 1)**2*(c + 1)
What is b in 0 + 4/3*b**4 + 0*b**2 + 2/3*b**3 + 0*b = 0?
-1/2, 0
Let q(b) be the first derivative of -b**8/672 - b**7/840 + b**2/2 - 3. Let m(z) be the second derivative of q(z). Determine w, given that m(w) = 0.
-1/2, 0
Factor 5*f**2 - 21*f**2 - 4*f**3 - 6 - 2 + 13*f - 33*f.
-4*(f + 1)**2*(f + 2)
Let u = -5/297 + 104/297. Factor -u + 1/3*b**2 + 0*b.
(b - 1)*(b + 1)/3
Let b(k) be the first derivative of -8*k**7/21 + 2*k**6/3 - k**5/5 + 10*k - 3. Let f(r) be the first derivative of b(r). Let f(i) = 0. Calculate i.
0, 1/4, 1
Let u(h) be the first derivative of -h**4/2 + 2*h**3 - 8. Factor u(t).
-2*t**2*(t - 3)
Suppose -6*m + m = 10. Let z = 0 - m. Suppose 3*s**3 + 3*s - 4*s - s**2 - z*s**3 + 0*s**4 + s**4 = 0. What is s?
-1, 0, 1
Suppose 5*b = 6*b - 8. Let y(d) = d**3 - 8*d**2 - d + 11. Let u be y(b). Determine r, given that -6*r**2 + 0 + 4*r + 3*r**u - 1/2*r**4 = 0.
0, 2
Factor 2/9*a**3 + 0 + 8/9*a**2 + 8/9*a.
2*a*(a + 2)**2/9
Let q(n) be the first derivative of -n**4 - 4*n**3 + 16*n + 11. Factor q(w).
-4*(w - 1)*(w + 2)**2
Let v = -8 + 17. Let g(a) = a**4 + a**3 - a**2. Let u(c) = 6*c**4 + 6*c**3 + 15*c + 6. Let l(j) = v*g(j) - u(j). What is n in l(n) = 0?
-1, 2
Factor 16/3 + 4/3*w**2 + 16/3*w.
4*(w + 2)**2/3
Let c(x) = -x**3 - x**2 + x. Let f = 9 - 12. Let t(s) = 10*s**3 + 15*s**2 - 3*s. Let n(r) = f*t(r) - 21*c(r). Factor n(b).
-3*b*(b + 2)*(3*b + 2)
Let q be (5*4/270)/(2/6). Factor 0*x + 0 + q*x**2.
2*x**2/9
Let x = 389/2 - 185. Factor x*w**2 + 6*w - 2 - 6*w**3.
-(w - 2)*(3*w + 2)*(4*w - 1)/2
Let o = -5 - 6. Let i be -2*(o/4 + 2). Factor -5/2*l**4 - 8*l + i*l**5 + 2 + 21/2*l**2 - 7/2*l**3.
(l - 1)**3*(l + 2)*(3*l - 2)/2
Let t(n) be the second derivative of -3*n**8/8960 + n**7/5040 + n**6/320 - n**5/240 + n**4/12 + 2*n. Let h(m) be the third derivative of t(m). Factor h(z).
-(z - 1)*(z + 1)*(9*z - 2)/4
Factor g**4 + 1442 - 1441 + 0*g**4 - 2*g**2.
(g - 1)**2*(g + 1)**2
Let s = 69/70 - -3/14. Determine k, given that 0*k + 0 - 4/5*k**3 - 2/5*k**2 + s*k**4 = 0.
-1/3, 0, 1
Let d(y) = -y**2 + 32*y + 3. Let w be d(0). Determine v, given that 2/11*v**4 - 2/11*v**w + 0*v + 0 + 0*v**2 = 0.
0, 1
Let j(l) be the second derivative of -l**5/10 - 5*l**4/24 - l**3/12 + 36*l. Factor j(n).
-n*(n + 1)*(4*n + 1)/2
Let i(u) be the first derivative of -u**4 - 5*u**3/3 - 2*u**2 - 6*u + 6. Let x(m) = 9*m**3 + 10*m**2 + 7*m + 13. Let v(t) = 7*i(t) + 3*x(t). Factor v(z).
-(z + 1)**2*(z + 3)
Find h such that 1/5*h**2 + 0 + 1/5*h = 0.
-1, 0
Let n = 23 + -21. Factor 3/7 - 3/7*c**n + 3/7*c - 3/7*c**3.
-3*(c - 1)*(c + 1)**2/7
Let g(c) be the second derivative of -c**4/4 - 12*c**3 - 216*c**2 - 26*c. Factor g(d).
-3*(d + 12)**2
Let y(h) = h - 6. Let n be y(7). Suppose p - n = -2*q + 4, -3*q = -4*p - 2. Let -8*j + 4*j + 5*j - q*j**2 + 2 + j**2 = 0. What is j?
-1, 2
Let n(l) be the first derivative of 0*l**3 + 2/3*l**2 - 2 - 2/3*l + 2/15*l**5 - 1/3*l**4. Factor n(r).
2*(r - 1)**3*(r + 1)/3
Let w = 14/15 + -3/5. Factor -4/3*o - 4/3*o**3 - 2*o**2 - 1/3 - w*o**4.
-(o + 1)**4/3
Let h(n) = n**3 + 6*n**2 + n. Let a(w) = 3*w**3 + 12*w**2 + 3*w. Let v(s) = -4*a(s) + 9*h(s). Factor v(q).
-3*q*(q - 1)**2
Let b = -5 + 6. Suppose 2*g + b = 7. Solve -168*i**2 - 588*i**g - 10*i - 8*i - 686*i**4 + 2*i = 0 for i.
-2/7, 0
Let v(x) = -20*x**3 + 20*x**2 - 7*x + 4. Let d(y) = 59*y**3 - 59*y**2 + 20*y - 11. Let p(g) = 4*d(g) + 11*v(g). Factor p(t).
t*(4*t - 3)*(4*t - 1)
Let y(r) be the first derivative of -r**5/4 - 7*r**4/16 + 2*r**3/3 + r**2/2 + 2. Factor y(v).
-v*(v - 1)*(v + 2)*(5*v + 2)/4
Let l(d) be the third derivative of d**8/1176 + 2*d**7/7