(g) = 44*g**2 + 120*g + 124. Let s(p) = 26*p**2 + 72*p + 75. Let n(m) = 7*d(m) - 12*s(m). What is a in n(a) = 0?
-4, -2
Let n = 8 - 5. Let i(q) = q**2 - 2*q - 1. Let b be i(n). Find o, given that o**5 - 2*o**2 - 2*o**3 - 3*o**b + o + 5*o**2 = 0.
-1, 0, 1
Let u(x) = 11*x - 11*x**3 - 6 + 4*x**2 - 17 + 19*x**2. Let d(l) = -2*l**3 + 4*l**2 + 2*l - 4. Let p(a) = -34*d(a) + 6*u(a). Factor p(w).
2*(w - 1)*(w + 1)**2
Suppose 5*h + r - 6 = 0, 2*h + 7 + 1 = -3*r. Factor 5*i**2 - 8*i - 8*i**h + 2*i**2 - 16.
-(i + 4)**2
Let w = -260/19 + 989/57. Let b(x) = x - 3. Let o be b(3). Solve o + w*c**2 + 2/3*c = 0 for c.
-2/11, 0
Suppose 6*i + 12 = -6. Let s be (-1485)/(-378) + i/7. Factor -3*m**2 - 1/2 - s*m.
-(m + 1)*(6*m + 1)/2
Let d(c) be the first derivative of c**4/60 + c**3/30 - 18*c + 23. Let y(a) be the first derivative of d(a). Solve y(o) = 0.
-1, 0
Let o be 8/(-10) - (2 + (-308)/35). Let i(h) be the second derivative of 0*h**2 + 9/40*h**5 + 0*h**3 + 0 + 3*h - 1/4*h**4 - 1/20*h**o. Solve i(c) = 0.
0, 1, 2
Let t = -5620 + 5623. What is v in t*v**2 + 5/3*v**3 - 7/3*v**5 + 0 - 3*v**4 + 2/3*v = 0?
-1, -2/7, 0, 1
Let k be (8/(-14))/(3192/(-13965)). Suppose k*p**4 - 4 - 9*p**2 - 14*p + 7/2*p**3 = 0. Calculate p.
-2, -1, -2/5, 2
Factor -3/2*p**3 - 18 + 6*p + 9/2*p**2.
-3*(p - 3)*(p - 2)*(p + 2)/2
Let n be (-1)/(0 + 0 + 1). Let w be n + 1 - -1 - (3 + -7). Factor 0 + 0*s + 6/5*s**3 + 2/5*s**2 + 2/5*s**w + 6/5*s**4.
2*s**2*(s + 1)**3/5
Let o(n) be the third derivative of n**7/1260 - 7*n**6/720 + n**5/40 + 7*n**4/144 - 5*n**3/18 + 17*n**2 - 6. Let o(a) = 0. What is a?
-1, 1, 2, 5
Let v(x) be the second derivative of 3/4*x**3 - 1/20*x**6 + 0 - 9/40*x**5 + 1/8*x**4 - 28*x + 0*x**2. Solve v(b) = 0.
-3, -1, 0, 1
Let l(r) be the first derivative of 9 - 3/2*r**2 + 1/3*r**3 + 2*r. Suppose l(o) = 0. Calculate o.
1, 2
Let a(i) be the third derivative of i**7/70 + 2*i**6/45 - i**5/10 - 2*i**4/3 + 7*i**3/6 + 8*i**2. Let m(s) be the first derivative of a(s). Factor m(x).
4*(x - 1)*(x + 1)*(3*x + 4)
Let z(j) = 12*j**2 + 42*j + 45. Let t(s) = -10*s**2 - 42*s - 44. Let c(h) = -5*t(h) - 4*z(h). Factor c(b).
2*(b + 1)*(b + 20)
Let h be 8/(-20) + (-1)/((-5)/2). Suppose 0 = -h*n + 8*n - 16. Let 0 + 1/5*x - 1/5*x**n = 0. Calculate x.
0, 1
Let s be (-4)/5*-1*10. Suppose -c + 10 = -s. Let 10*x**2 + x - 2 + 9*x**2 - c*x**2 = 0. Calculate x.
-2, 1
Let m = 3151/12700 + 6/3175. Solve -1/8*r**2 - 1/8 + m*r = 0 for r.
1
Solve 0 - 1/2*g**4 + 36*g - 23/4*g**3 + 6*g**2 + 1/4*g**5 = 0 for g.
-3, 0, 4
Suppose 0 = -11*a + 24 + 42. Suppose 2 - 5*b + b**2 - 4*b + a*b = 0. What is b?
1, 2
Let f(j) be the first derivative of 0*j + 0*j**2 - 14 + 2/3*j**3 + 1/6*j**4. Solve f(w) = 0 for w.
-3, 0
Suppose 4*o - 2 = -2*m, 0*o + 3*m + 21 = 2*o. Suppose -298*i + 4 = -296*i. Let -1/2*w + 1/2*w**i - 1/2 + 1/2*w**o = 0. What is w?
-1, 1
Let p(z) = -z**2 + 42*z - 533. Let q(x) = -x - 1. Let g(t) = -p(t) + 4*q(t). Factor g(f).
(f - 23)**2
Suppose 5*o + 0 - 20 = 0. Let x be (5/(140/72))/((-10)/(-14)). Suppose -3/5 + 6*t**3 + x*t - 36/5*t**2 - 9/5*t**o = 0. Calculate t.
1/3, 1
Let j(q) = -9 + 2*q**2 - 10 + 20 - 12*q - 9. Let a(z) = z. Let b(w) = 12*a(w) + j(w). Let b(x) = 0. Calculate x.
-2, 2
Solve -6*f**2 + f**3 + 4*f**3 + 5*f**3 + f**2 - 5*f**4 = 0.
0, 1
Find s such that 3*s**2 + 4*s**4 + 2*s**4 + 3*s + s**3 + 2 - 4*s - 4*s - 7*s**4 = 0.
-2, 1
Solve -24*n + 9/4*n**2 - 33/4 = 0.
-1/3, 11
Let w(n) be the second derivative of 3/100*n**5 + 12*n + 0*n**3 + 1/20*n**4 + 0 + 0*n**2. Factor w(l).
3*l**2*(l + 1)/5
Let d = -685/3 - -229. Let m(t) be the first derivative of -d*t**2 + 2 + 0*t - 2/9*t**3. Factor m(z).
-2*z*(z + 2)/3
Let f(g) be the second derivative of -1/70*g**5 + 9/7*g**2 - 5/7*g**3 + 0 + 1/6*g**4 - 5*g. Factor f(b).
-2*(b - 3)**2*(b - 1)/7
Let a(f) be the second derivative of -f**7/14 + 7*f**6/10 + 3*f**5/10 - 7*f**4/2 - f**3/2 + 21*f**2/2 - 923*f. Solve a(c) = 0 for c.
-1, 1, 7
Let t(a) = 10*a + 330. Let f be t(-33). Let x(m) be the second derivative of 3/2*m**5 + 13*m + f*m**2 - 5*m**4 + 0 + 20/3*m**3 - 1/6*m**6. Factor x(y).
-5*y*(y - 2)**3
Suppose 5*b - 7 - 24 = -2*d, -d - 17 = -4*b. Let y(w) be the first derivative of -3/5*w**2 - 2/15*w**3 - 4/5*w + d. Factor y(q).
-2*(q + 1)*(q + 2)/5
Let z(s) be the second derivative of -2*s**7/21 + 2*s**6/15 + s**5/5 - s**4/3 - 122*s. Solve z(r) = 0 for r.
-1, 0, 1
Let j be 68/119 + 1635/(-7). Let q = j + 469/2. Factor -1/2*b**2 - 1 - q*b.
-(b + 1)*(b + 2)/2
Let q = -1160 - -1163. Determine w so that 108/5*w**2 + 2/5*w**4 + 162/5 + 24/5*w**q + 216/5*w = 0.
-3
Suppose -c = f - 68, 0*f = -f + 5*c + 74. Solve -f*n**4 - 67*n**4 + 132*n**4 + n**5 + 3*n**3 = 0 for n.
0, 1, 3
Let u be (-18)/(-81) + (-119)/9. Let b = u + 15. Let 0*o**b + o + 10*o**2 - 2*o**2 - 9*o**2 = 0. Calculate o.
0, 1
Suppose 4*a = -a + 15. Find s, given that 0*s**3 + 237*s + 4*s**a - 241*s = 0.
-1, 0, 1
Let d(z) = -5*z**4 + 11*z**3 + 3*z**2 - 7*z + 2. Let n(t) = 14*t**4 - 34*t**3 - 8*t**2 + 20*t - 6. Let i(b) = 7*d(b) + 2*n(b). Factor i(w).
-(w - 1)**2*(w + 1)*(7*w - 2)
Let p(m) be the second derivative of -m**5/70 + 19*m**4/42 - 31*m**3/21 - 51*m**2/7 + 7*m + 4. Determine k so that p(k) = 0.
-1, 3, 17
Suppose 4*s - 6*s - 7 = 3*p, 0 = s + 3*p + 11. Solve -26/5*j**2 + 36/5*j - 8/5 + 5*j**s - 9*j**3 = 0 for j.
-1, 2/5, 2
Let q(j) = 166*j - 166. Let r be q(1). Let o(l) be the second derivative of -5*l**3 - 1/4*l**4 + r - 75/2*l**2 - 12*l. Factor o(n).
-3*(n + 5)**2
Suppose 5*z - 25 + 10 = 0. Factor 2*m**4 + 2*m**4 - 12*m**3 + z*m**2 - m**2 + 6*m**2.
4*m**2*(m - 2)*(m - 1)
Let q(u) = -2*u**2 - u - 1. Let n(b) = -b**2 - 29*b + 7. Let o(i) = -n(i) + 5*q(i). Suppose o(p) = 0. Calculate p.
2/3, 2
Let x = 7439/5964 + 4/1491. Let u(o) be the first derivative of 2/3*o**3 + 0*o + 4/5*o**5 + 1/6*o**6 + 0*o**2 + x*o**4 - 13. Find t such that u(t) = 0.
-2, -1, 0
Let m(a) be the first derivative of -5*a**6/2 - 99*a**5/5 - 57*a**4 - 64*a**3 + 48*a - 47. Determine o, given that m(o) = 0.
-2, -1, 2/5
Let q = 14 + -20. Let z = q - -8. Let 3*f**2 + 4*f - 6*f**2 - f - 2 + 2*f**z = 0. Calculate f.
1, 2
Let y(r) = r - 15. Let q be y(17). Factor 8*t + 15*t**2 - 25 + 2*t - 16*t**q.
-(t - 5)**2
Let f be (-2)/(5/((-45)/(-6))). Let a be 51 + 1/(f/6). Factor -v**3 + 45*v - a*v + 4*v**3 + v**4.
v*(v - 1)*(v + 2)**2
Let t(o) = o**4 - 21*o**2 - 13*o. Let h(l) = -l**4 + l**3 + 22*l**2 + 14*l. Let p(f) = -7*h(f) - 6*t(f). Factor p(z).
z*(z - 10)*(z + 1)*(z + 2)
Let p(r) = -r**4 - 4*r**3 + 4*r + 1. Let g(t) = -2*t**4 - 8*t**3 + t**2 + 8*t + 1. Let w(i) = -2*g(i) + 5*p(i). Factor w(q).
-(q - 1)*(q + 1)**2*(q + 3)
Let p = 1724 - 1719. Let w(f) be the third derivative of 1/10*f**p + 0 + 1/120*f**6 + 3/8*f**4 + 0*f + 0*f**3 + 7*f**2. Factor w(y).
y*(y + 3)**2
Let d(q) be the third derivative of -2/75*q**5 + 4*q**2 + 0*q**3 + 2*q + 0 + 1/525*q**7 + 2/15*q**4 - 1/50*q**6 + 1/840*q**8. Suppose d(r) = 0. What is r?
-2, 0, 1, 2
Let l(a) = -a**2 - 4*a - 1. Let m be l(-3). Determine d so that 3*d**3 - 18*d**3 - 2*d**m + 8*d**3 + 8*d**3 = 0.
0, 2
Let u be ((-8)/5)/((-46)/115). Let a(p) be the second derivative of 0 + 9*p + 1/102*p**u + 1/51*p**3 + 0*p**2. Factor a(x).
2*x*(x + 1)/17
Let h be (0/2 + -2 - -6)/2. Factor -5*l**5 - 15*l**3 - 2*l + 11*l**4 + 72*l**2 - 63*l**h + 2*l**5.
-l*(l - 1)**3*(3*l - 2)
Let m(c) be the third derivative of -2*c**7/105 - 9*c**6/10 + 2*c**2 - 42*c. Determine z so that m(z) = 0.
-27, 0
Let l(i) be the first derivative of -25*i**8/336 + 5*i**7/42 - i**6/18 - 17*i**3/3 - 23. Let y(b) be the third derivative of l(b). Factor y(q).
-5*q**2*(5*q - 2)**2
Factor 11*r**4 - 99 - 220*r**3 + 14*r**4 + 27*r - 49*r - 398*r - 566*r**2.
(r - 11)*(r + 1)*(5*r + 3)**2
Let l(p) be the third derivative of 1/40*p**5 + 0 - 3/16*p**4 + 0*p + 1/2*p**3 - 13*p**2. Factor l(q).
3*(q - 2)*(q - 1)/2
Suppose -19 = 10*b - 39. Let u(p) be the third derivative of -3*p**3 + 0*p - 1/180*p**6 - 4*p**b - 3/4*p**4 + 0 - 1/10*p**5. Factor u(o).
-2*(o + 3)**3/3
Let o(j) be the third derivative of -j**6/40 + 21*j**5/20 + j**2 + 2*j. Find u, given that o(u) = 0.
0, 21
Let b(t) = -t + 11. Let m be b(9). Suppose 0 = z - 3. Let j(l) = -3*l**2 + 3*l. Let c(y) = 4*y**2 - 4*y. Let r(d) = m*c(d) + z*j(d). Factor r(i).
-i*(i - 1)
Let r = -333/28 - -347/28. Factor