 a(j).
-2*j**2*(j + 1)*(j + 2)
Let t be (0/2)/((1 - -2) + -1). Solve t*o - 2/3*o**3 - 2/3*o**2 + 0 = 0.
-1, 0
Suppose -5*h + 25 = -0*h. Let 3*c**3 - 3*c**h + c**5 + c**3 - 2*c = 0. What is c?
-1, 0, 1
Let r(x) be the first derivative of 2197*x**4 - 1352*x**3 + 312*x**2 - 32*x - 2. Determine q, given that r(q) = 0.
2/13
Let q(y) be the third derivative of y**8/336 + y**7/35 + y**6/20 - y**5/3 - 13*y**4/8 - 3*y**3 - 20*y**2. Let q(b) = 0. What is b?
-3, -1, 2
Let l(b) be the second derivative of -b**4/54 + 4*b**3/9 - 37*b. Determine n so that l(n) = 0.
0, 12
Let f(k) = 2*k**3 - 17*k**2 + 21*k + 5. Let u(t) = -2*t**3 + 16*t**2 - 20*t - 4. Let p(c) = 4*f(c) + 5*u(c). Suppose p(w) = 0. Calculate w.
0, 2, 4
Let c(j) be the first derivative of 2*j**6/3 + 2*j**5 - 3*j**4/2 - 16*j**3/3 + 4*j**2 - 38. Find h, given that c(h) = 0.
-2, 0, 1/2, 1
Let y(i) = i**2 + i. Let k(c) = c + 4. Let r be k(-5). Let j be y(r). Solve -1/4*n**3 + j*n + 0 + 0*n**2 - 1/4*n**4 = 0 for n.
-1, 0
Let l be (-1)/(-4)*(-6 + 18). Let m(p) be the first derivative of -1/8*p**4 + 1 + 1/20*p**5 + 0*p**2 + 0*p**l + 0*p. Factor m(f).
f**3*(f - 2)/4
Let j(y) be the second derivative of 2*y**7/21 + 2*y**6/5 - 4*y**4/3 - 7*y. Factor j(z).
4*z**2*(z - 1)*(z + 2)**2
Let k(f) be the third derivative of -f**8/840 + f**7/525 + f**6/100 - f**5/150 - f**4/30 + 11*f**2. Solve k(q) = 0.
-1, 0, 1, 2
What is b in 2/9*b**4 + 0*b + 8/9 - 10/9*b**2 + 0*b**3 = 0?
-2, -1, 1, 2
Let r(f) be the second derivative of -f**7/2940 + f**6/1260 - 2*f**3/3 + f. Let i(l) be the second derivative of r(l). Factor i(w).
-2*w**2*(w - 1)/7
Let w be 1 + 2 - ((-76)/(-10) + -5). Factor w*h**2 + 0 + 2/5*h.
2*h*(h + 1)/5
Let r be (-45)/(-105) + 25/7. Suppose 0 = 3*a - 5*w - 23 + 8, 12 = -a - r*w. Factor -1/4*s**3 + 0 + 1/4*s + a*s**2.
-s*(s - 1)*(s + 1)/4
Let l = 249 + -745/3. Factor 2/3*h**4 + 2/3 + 4/3*h**3 - 4/3*h**2 - l*h - 2/3*h**5.
-2*(h - 1)**3*(h + 1)**2/3
Let o(u) be the first derivative of 4*u**5/15 - u**4/2 - 2*u**3/3 - 5*u**2/2 - 4. Let l(v) be the second derivative of o(v). Solve l(f) = 0 for f.
-1/4, 1
Let w(s) be the third derivative of -s**5/210 - 4*s**4/21 - 64*s**3/21 + 9*s**2. Factor w(z).
-2*(z + 8)**2/7
Let u = 2/43 - -25/387. Let y(f) be the third derivative of -f**2 - 1/15*f**5 + u*f**4 - 1/315*f**7 + 1/45*f**6 + 0 - 1/9*f**3 + 0*f. Factor y(d).
-2*(d - 1)**4/3
Let r(o) be the second derivative of -o**8/320 + o**7/168 - o**6/360 + o**3/6 - 7*o. Let x(t) be the second derivative of r(t). Let x(v) = 0. Calculate v.
0, 2/7, 2/3
Let z(o) be the second derivative of o**7/21 - o**6/6 + 3*o**5/20 + o**4/12 - o**3/6 - 2*o. Factor z(a).
a*(a - 1)**3*(2*a + 1)
Let 4 + 2 - 4 + 18*x**2 - 6*x - 4 - 10*x**3 = 0. Calculate x.
-1/5, 1
Let m(a) be the first derivative of -3 + 1/60*a**5 - 1/240*a**6 - 1/2*a**2 - 1/6*a**3 + 0*a + 1/48*a**4. Let l(h) be the second derivative of m(h). Factor l(k).
-(k - 2)*(k - 1)*(k + 1)/2
Let x(i) be the first derivative of 8*i**6/9 + 16*i**5/5 + 13*i**4/3 + 8*i**3/3 + 2*i**2/3 + 21. What is g in x(g) = 0?
-1, -1/2, 0
Suppose r = y, y - 4*r - r = 4. Let w be ((-6)/9)/(-3 - y). Determine h, given that -2/3 - 1/3*h + 2/3*h**2 + w*h**3 = 0.
-2, -1, 1
Let p(o) be the third derivative of -o**5/450 + o**4/45 - o**3/15 + 11*o**2. Factor p(q).
-2*(q - 3)*(q - 1)/15
Let b(q) be the second derivative of 1/30*q**5 - 1/24*q**4 - 1/2*q**2 - 1/120*q**6 - 3*q + 0 + 0*q**3. Let u(g) be the first derivative of b(g). Factor u(w).
-w*(w - 1)**2
Let t(x) be the first derivative of x**6/3 - 8*x**5/5 + 2*x**4 + 4*x**3/3 - 5*x**2 + 4*x + 12. Let t(o) = 0. What is o?
-1, 1, 2
Let g(n) be the first derivative of -1/4*n + 4 - 1/8*n**2 + 1/12*n**3 + 1/16*n**4. Solve g(t) = 0.
-1, 1
Suppose -64/17*c - 2/17*c**4 + 12/17*c**2 - 64/17 + 10/17*c**3 = 0. What is c?
-2, -1, 4
Let o(m) = 6*m**4 - 3*m**3 - 7*m - 1. Let p(f) = -f**4 + f**3 + f. Let j(q) = o(q) + 5*p(q). Factor j(s).
(s - 1)*(s + 1)**3
Let z(n) be the first derivative of -1/2*n**4 - n + 1/3*n**3 + 3 + n**2. Suppose z(a) = 0. What is a?
-1, 1/2, 1
Factor 1/10*k**2 + 6/5*k + 11/10.
(k + 1)*(k + 11)/10
Let d = 15 - 14. Let r(y) be the first derivative of 2/3*y**3 - y**2 + 0*y - d. Factor r(q).
2*q*(q - 1)
Suppose -2/7*k - 2/7*k**3 + 4/7*k**2 + 0 = 0. Calculate k.
0, 1
Let h(z) be the first derivative of -z**6/1260 + z**5/140 - z**4/42 - 2*z**3/3 + 5. Let m(x) be the third derivative of h(x). Factor m(s).
-2*(s - 2)*(s - 1)/7
Let y(o) be the third derivative of -o**7/42 + 13*o**6/12 - 47*o**5/4 - 455*o**4/6 - 490*o**3/3 + 20*o**2. Suppose y(t) = 0. What is t?
-1, 14
Suppose -3*c = 3*n - 2*n + 6, 5*c = 2*n - 21. Find j, given that 6/11*j**2 - 2/11*j**4 - 4/11 - 2/11*j**n + 2/11*j = 0.
-2, -1, 1
Let a be (-265)/(-175) + 1/(-14)*-4. Factor 6/5*p**3 - a*p**4 + 6/5*p**2 + 3/5*p**5 - 9/5*p + 3/5.
3*(p - 1)**4*(p + 1)/5
Factor 3*j + 3*j**3 - 2*j**2 + 9*j**2 + 0*j**2 - j**2.
3*j*(j + 1)**2
Factor 2/5*x**2 + 16/5 + 18/5*x.
2*(x + 1)*(x + 8)/5
Let 2/11 + 18/11*c**2 - 14/11*c**3 - 10/11*c + 4/11*c**4 = 0. What is c?
1/2, 1
Let d(s) = s**4 - 3*s**2 + s**4 - 3*s**4 - 2*s**3 + 4*s + 6*s**4. Let q(p) = -4*p**4 + 2*p**3 + 2*p**2 - 3*p. Let j(y) = 3*d(y) + 4*q(y). Factor j(n).
-n**2*(n - 1)**2
Let l be (-7)/28 + 0 - (-2)/8. Suppose -2/3*m**3 + 2/9*m**4 + 0 + 8/9*m + l*m**2 = 0. What is m?
-1, 0, 2
Let c(i) be the first derivative of -i**7/350 - i**6/200 + i**2 + 3. Let o(b) be the second derivative of c(b). Factor o(j).
-3*j**3*(j + 1)/5
Determine i so that -1/8*i**4 + 0*i + 1/2*i**2 - 3/8*i**3 + 0 = 0.
-4, 0, 1
Let a(q) = q**2 + q. Let m = -4 - -3. Let h(u) be the second derivative of u**4/3 + u**3 - 2*u. Let b(d) = m*h(d) + 5*a(d). Factor b(x).
x*(x - 1)
Let k(n) = -2*n**3 - 4*n**2 + 5*n - 5. Let y(m) = -m**2 - 1. Let i(d) = -k(d) + 3*y(d). Factor i(q).
(q - 1)*(q + 2)*(2*q - 1)
Let m(n) = 6*n + 18. Let a(u) = 7*u + 19. Let x(w) = -5*a(w) + 6*m(w). Let y be x(-13). Factor y*t**2 + 1/2*t**3 + 0 + 0*t.
t**3/2
Let q(b) = -4*b**3 - 7*b**2 - 4*b. Let s(r) = 5*r**3 + 8*r**2 + 5*r. Let w(a) = 6*q(a) + 5*s(a). Suppose w(l) = 0. Calculate l.
0, 1
Suppose -3*l = 5*y - 2*y, 0 = 4*l + 8. Let r = 1 + y. Factor t - t**2 - r + 3.
-t*(t - 1)
Let m(i) be the first derivative of -2/3*i**3 + 0*i - 2 + 2*i**2. Let m(s) = 0. Calculate s.
0, 2
Factor 1/3*b**5 + 1/3*b**3 + 2/3*b**4 + 0 + 0*b + 0*b**2.
b**3*(b + 1)**2/3
Suppose 3*r + 31 = 4*q, 3*r = 7*r + 20. Suppose 490 = -q*l + 2154. Solve 10*m**5 + 250*m**2 + l*m**3 + 72*m + 8 + 90*m**5 + 0 + 330*m**4 = 0.
-1, -1/2, -2/5
Solve 9*w**2 + 16*w**3 + 20 + 27*w**2 - 74 + 2*w**4 = 0 for w.
-3, 1
Let b(m) be the third derivative of 0*m**3 - 3*m**2 + 0 + 1/1008*m**8 + 0*m**7 - 1/360*m**6 + 0*m**4 + 0*m**5 + 0*m. Factor b(s).
s**3*(s - 1)*(s + 1)/3
Let u(r) be the third derivative of 4*r**2 + 0*r**6 + 1/8*r**4 + 0*r**3 - 1/35*r**7 + 0*r - 1/112*r**8 + 0 + 1/10*r**5. Factor u(d).
-3*d*(d - 1)*(d + 1)**3
Let 7/4*n**4 - 1/2*n**2 + 0*n + 0 + 5/4*n**3 = 0. What is n?
-1, 0, 2/7
Let d(k) = k**3 + k**2 - k + 1. Let r be d(1). Factor -2/5*x**r + 4/5*x**3 + 0 - 2/5*x**4 + 0*x.
-2*x**2*(x - 1)**2/5
Let j be 36/77 + (-34)/187. Find r, given that 0 + 4/7*r**3 + 0*r + j*r**4 + 2/7*r**2 = 0.
-1, 0
Let g(h) be the second derivative of -3/20*h**5 - h**2 + 0 + 2/3*h**4 - 1/2*h**3 - 3*h. Factor g(a).
-(a - 2)*(a - 1)*(3*a + 1)
Let y = 6 + -4. Suppose -2/3*n + 1/3*n**3 + 0 - 1/3*n**y = 0. Calculate n.
-1, 0, 2
Let z = -11 - 25. Let q be (-63)/z - (-2)/(-8). Suppose 3/2*x**2 + q*x + 1/2*x**3 + 1/2 = 0. What is x?
-1
Let s(h) be the third derivative of h**5/36 + 5*h**4/18 + 6*h**2. Factor s(d).
5*d*(d + 4)/3
Suppose 4*l**3 - 4*l**4 + 12*l**2 + 0*l**3 + 2 - 10*l**4 + 6*l**5 - 10*l = 0. Calculate l.
-1, 1/3, 1
Let v(l) be the first derivative of 2/5*l**2 + 4/15*l**3 - 3 + 1/5*l. Factor v(d).
(2*d + 1)**2/5
Let t(o) be the second derivative of o**7/21 - o**6/5 + 3*o**5/10 - o**4/6 + 3*o. Factor t(g).
2*g**2*(g - 1)**3
Find p, given that 2/15*p**2 - 4/15 + 2/15*p = 0.
-2, 1
Let t be 140/(-18) + 2/(-9). Let s = -5 - t. Factor -6*v - 1/2*v**s - 3*v**2 - 4.
-(v + 2)**3/2
Let m(z) = 33*z**2 - z. Let t be m(1). Suppose -t*i = -31*i. Determine x so that -2/3*x**3 + i + 1/3*x**4 + 2/3*x - 1/3*x**2 = 0.
-1, 0, 1, 2
Let j be ((-2)/42)/(2*(-3)/36). Find m such that -6/7*m**2 + 0*m**3 + 