**2 + 0 = 0. What is a?
-49, 0
Let x(n) = 5*n + 18. Let b be x(-3). Let g(h) = h. Let q be g(4). Factor q*z**3 - b*z**2 - 3*z**2 - 3*z**3 + 9*z.
z*(z - 3)**2
Suppose 5*p - 24 = 2*p. Let h be -1*p*66/(-165). Determine b, given that -4*b**2 - 4/5*b**4 + 8/5*b + 0 + h*b**3 = 0.
0, 1, 2
Suppose 0 = 16*u - 20*u. Let n(z) be the third derivative of -1/60*z**4 + 0 + 0*z - 4*z**2 - 1/150*z**5 + u*z**3. Let n(f) = 0. Calculate f.
-1, 0
Let z(n) be the first derivative of 2*n**3/21 + 80*n**2/7 + 158*n/7 + 283. Solve z(t) = 0.
-79, -1
Let j(f) = -16*f**3 - f**2 - 16*f - 11. Let r(h) = 0*h**3 + 33*h - 36*h - 2 - 3*h**3. Let x(m) = -6*j(m) + 33*r(m). Find i such that x(i) = 0.
0, 1
Let n(x) be the third derivative of x**6/180 + 2*x**5/45 + x**4/9 + 94*x**2 + 2*x. Suppose n(v) = 0. Calculate v.
-2, 0
Let h(n) be the first derivative of -1 + 0*n**2 - 1/6*n**3 + 0*n - 5/16*n**4 - 1/10*n**5. Factor h(b).
-b**2*(b + 2)*(2*b + 1)/4
Let y = 356 - 2847/8. Let o(m) be the second derivative of 0 - y*m**3 - 1/8*m**4 - 7*m + 3/4*m**2 + 3/80*m**5. Let o(b) = 0. What is b?
-1, 1, 2
Let m(z) be the third derivative of z**8/84 - 2*z**7/105 - z**6/30 + z**5/15 - z**2 + 21. Factor m(s).
4*s**2*(s - 1)**2*(s + 1)
Solve -187 - 1322*v - 89 - 1121*v + 499*v - 147*v**3 - 3465*v**2 = 0.
-23, -2/7
Let s be (-96)/(-105) + 18/63. Factor 2/5*q - 6/5*q**2 + s - 2/5*q**3.
-2*(q - 1)*(q + 1)*(q + 3)/5
Let f be (16 + -14)/(-2 + 3). Let m(q) be the first derivative of -2/15*q**3 + 0*q - 6 + 1/5*q**f. Suppose m(i) = 0. What is i?
0, 1
Let t(w) = 6*w**2 - 36*w + 9. Let y(o) = -11*o**2 + 70*o - 24. Let r(q) = -5*t(q) - 3*y(q). Factor r(a).
3*(a - 9)*(a - 1)
Let s(b) be the third derivative of b**8/336 - b**7/84 + b**6/72 - 13*b**3/6 + b**2. Let q(d) be the first derivative of s(d). Factor q(n).
5*n**2*(n - 1)**2
Let a(j) be the second derivative of -j**4/12 + 14*j**3 - 882*j**2 - 23*j - 3. Factor a(g).
-(g - 42)**2
Let q = -71 + 68. Let w be q/(-9) + 3 - 2. Suppose w*x**2 + 0 - x - 1/3*x**3 = 0. Calculate x.
0, 1, 3
Let y be 56/75 + (-68)/850. Suppose 2/3*o + 1/6*o**3 + y*o**2 + 0 = 0. Calculate o.
-2, 0
Let k(t) be the second derivative of t**4/4 - 10*t**3 - 66*t**2 + 36*t + 3. Factor k(n).
3*(n - 22)*(n + 2)
Let t = -42 + 46. Factor o**t - 5*o**4 - 24*o - 2*o**4 + 6*o**3 + 3*o**4 + 12*o**2.
-3*o*(o - 2)**2*(o + 2)
Let q(c) be the first derivative of -c**3/5 + 6*c**2/5 - 53. Factor q(z).
-3*z*(z - 4)/5
Let c(s) = -s**4 - s**3 - s. Let g be (-6)/15 - 2/(-30)*-39. Let t(l) = -l**4 - 10*l**3 + 16*l**2 - 2*l. Let v(w) = g*t(w) + 6*c(w). Solve v(d) = 0 for d.
0, 4
Let t(d) be the third derivative of -d**2 + 0 + 1/25*d**5 + 7/40*d**4 + 0*d - 1/5*d**3. Factor t(c).
3*(c + 2)*(4*c - 1)/5
Let x be -7*1 - (-189)/27. Let d(v) be the third derivative of -2/3*v**3 + 3*v**2 + 0 + 0*v + x*v**4 + 1/15*v**5. Factor d(c).
4*(c - 1)*(c + 1)
Suppose 3*x - 4*d - d = -15, 5*d = 5*x + 15. Suppose p - 5*p + h + 13 = x, -h - 1 = 2*p. Let -15/4*m + 3/4*m**p + 3/4*m**3 + 9/4 = 0. What is m?
-3, 1
Let b(y) = 147*y**3 - 210*y**2 - 162*y - 30. Let d be -3*4/24*-12. Let n(o) = o + 1. Let p(w) = d*n(w) + b(w). Find r, given that p(r) = 0.
-2/7, 2
Let y be 4/(-7) + 382/28 + 0. Let o = -21/2 + y. Factor -2*w**2 - o*w**4 + 2/7*w + 30/7*w**3 + 0.
-2*w*(w - 1)*(3*w - 1)**2/7
Let a = -23 + 26. Suppose v = z + 2, 4*v + a = -z + 11. Factor 2/15*y**3 + 4/15*y**2 + z + 0*y.
2*y**2*(y + 2)/15
Let k be 1 + (-5)/10*2. Let h(w) be the second derivative of -1/80*w**5 + 6*w + 1/24*w**3 + k*w**2 + 0 + 0*w**4. Determine i, given that h(i) = 0.
-1, 0, 1
Let o(l) = 16*l**2 + 76*l - 77. Let s(q) = -38*q**2 - 190*q + 192. Let b(c) = -12*o(c) - 5*s(c). Factor b(u).
-2*(u - 18)*(u - 1)
Suppose 54*m = 39*m. Let v(s) be the first derivative of -9 - 1/6*s**4 + m*s + 0*s**3 - 1/18*s**6 + 1/5*s**5 + 0*s**2. Factor v(n).
-n**3*(n - 2)*(n - 1)/3
Let z(o) be the first derivative of -45/8*o**4 - 5/4*o**2 + 0*o + 2*o**5 - 12 + 5*o**3. Factor z(g).
5*g*(g - 1)**2*(4*g - 1)/2
Let m(g) = 17*g - 60. Let n be m(5). Let p be (n/10*2)/(2 + -1). Determine l, given that -2*l**4 - 2/3 + 3*l - 16/3*l**2 + 1/3*l**p + 14/3*l**3 = 0.
1, 2
Let i(n) = n**5 - n**4 - n**3. Let b(p) = 4*p**5 - 10*p**4 - 9*p**3 + 16*p**2 + 32*p + 16. Let z(d) = -2*b(d) + 10*i(d). Factor z(h).
2*(h - 2)*(h + 1)*(h + 2)**3
Let w(z) be the second derivative of -z**4/3 - 2*z**3 + 69*z. Suppose w(r) = 0. What is r?
-3, 0
Let f(p) be the first derivative of p**7/105 + p**6/60 - p**5/30 - p**4/12 + 3*p**2/2 - 6*p - 38. Let n(h) be the second derivative of f(h). Factor n(m).
2*m*(m - 1)*(m + 1)**2
Factor 17*d**3 - 128*d**2 + 188*d**2 + 47*d**3 - 224 - 4*d**4 - 47*d**2 - 97*d**2 - 376*d.
-4*(d - 14)*(d - 4)*(d + 1)**2
Suppose -3/4*h**4 + 3/4*h**2 + 0*h + 3/4*h**3 + 0 - 3/4*h**5 = 0. What is h?
-1, 0, 1
Let k(x) = -x**2 + 13*x - 9. Let a be k(12). Suppose -3*h - 2*h + 10 = u, -a*h = -4*u - 6. What is r in -6*r**4 + 4 - 6*r**3 - h*r**2 - 2*r**5 - 4 = 0?
-1, 0
Factor -2/11*f**2 - 4*f - 42/11.
-2*(f + 1)*(f + 21)/11
Let j = -21 - -35. Suppose -12*v**2 + j*v + 21*v + v**2 + 6*v**2 = 0. Calculate v.
0, 7
Let c(h) be the third derivative of 1/315*h**7 + 0 - 15*h**2 + 0*h - 1/90*h**6 + 0*h**3 + 0*h**4 + 1/90*h**5. Factor c(t).
2*t**2*(t - 1)**2/3
Let v = 2647/12335 + -36/2467. Factor 4/5*p**2 + 3/5*p**3 + 0 + v*p.
p*(p + 1)*(3*p + 1)/5
Let z(s) = -6*s**5 + 3*s**4 - 21*s**3 - 8*s**2 + 17*s. Let i(y) = 2*y**5 - 2*y**4 + 10*y**3 + 4*y**2 - 8*y. Let f(c) = -10*i(c) - 4*z(c). Factor f(b).
4*b*(b - 1)**2*(b + 1)*(b + 3)
Suppose -4/5*o**2 + 1/5*o**5 - 4/5*o**4 + 1/5*o + 0 + 6/5*o**3 = 0. What is o?
0, 1
Suppose -8*t = -l - 7*t + 52, -2*t - 8 = 0. Factor 15*x**3 - 3*x**2 + l + 49 - 97.
3*x**2*(5*x - 1)
Let j be 322/98 + (-4)/14. Suppose 15/4 + j*i - 3/4*i**2 = 0. Calculate i.
-1, 5
Factor -1/3 + 2/3*t - 1/3*t**2.
-(t - 1)**2/3
Let i be (-29 - -2*1)/1. Let o(l) = -5*l**2 + 2*l + 10. Let k(v) = 22 + 66*v**2 + 8*v - 151 - 35*v. Let r(w) = i*o(w) - 2*k(w). Let r(d) = 0. What is d?
-2, 2
Let v(w) be the first derivative of -w**8/560 - 3*w**7/112 - w**6/10 + w**5/5 - 8*w**3/3 + 9. Let m(h) be the third derivative of v(h). Factor m(n).
-3*n*(n + 4)**2*(2*n - 1)/2
Let l(u) be the third derivative of -12*u**2 - 3/14*u**4 + 27/7*u**3 + 1/210*u**5 + 0*u + 0. Suppose l(m) = 0. What is m?
9
Let p(n) be the second derivative of 0 + 1/108*n**4 + 2/9*n**2 + 2/27*n**3 + 25*n. Determine x so that p(x) = 0.
-2
Let n(a) be the second derivative of a**4/3 - 24*a**3 + 198*a**2 - 31*a + 3. Solve n(j) = 0 for j.
3, 33
Let z = 119 - 119. Let a(p) be the third derivative of z*p - 2*p**2 + 1/20*p**4 + 0 + 3/100*p**5 + 1/200*p**6 + 0*p**3. Find m, given that a(m) = 0.
-2, -1, 0
Let m(w) be the second derivative of 5*w**7/21 + 23*w**6/36 + 5*w**5/12 - 5*w**4/72 + 52*w. Factor m(n).
5*n**2*(n + 1)**2*(12*n - 1)/6
Let h(q) be the first derivative of -q**4/8 + 31*q**3/2 - 2883*q**2/4 + 29791*q/2 + 97. Solve h(p) = 0.
31
Factor 12*r - 1/6*r**2 - 71/6.
-(r - 71)*(r - 1)/6
Suppose -4*s - 81 = -21. Let q be 0/1 + s/(-9). Find t, given that q*t**2 - 5/3*t + 5/3*t**3 - 5/3 = 0.
-1, 1
Let o(c) = c**3 - 3*c**2 + 5*c - 3. Let k be o(3). Let s be 1*(-1)/((-4)/k). Find x such that 14*x - 2 + 12*x - x**s - 23*x = 0.
-2, 1
Let l = 2803 + -2799. Find d such that -1/2*d**5 + 0*d**3 - d**l + 0*d**2 + 0*d + 0 = 0.
-2, 0
Let v(q) be the second derivative of 0 + 0*q**3 + 0*q**2 - 1/255*q**6 + 17*q - 2/51*q**4 + 2/85*q**5. Factor v(n).
-2*n**2*(n - 2)**2/17
Suppose a = 2*a - 2*o + 26, 5*a + 5*o + 130 = 0. Let b = -24 - a. Factor 4*d + 4*d**2 + 0*d**b - 2 - 8 + 2.
4*(d - 1)*(d + 2)
Factor 23*v**2 - 20*v**2 + 114*v + 982 + 101.
3*(v + 19)**2
Let d(j) be the first derivative of j**4/14 + 16*j**3/21 + 17*j**2/7 + 20*j/7 + 126. Find v such that d(v) = 0.
-5, -2, -1
Let s(o) = -o**2 - 3*o. Let q(h) = 43*h**2 + 83*h + 4. Let b(n) = -2*q(n) + 10*s(n). Factor b(m).
-4*(m + 2)*(24*m + 1)
Let d(c) = 7*c**2 - 2*c + 19. Let n(x) = -6*x**2 + 3*x - 15. Let u(z) = 3*d(z) + 4*n(z). Factor u(y).
-3*(y - 1)**2
Let z = -43 - -44. Let m be z/5 + 46/70. Factor -8/7*l**2 + 26/7*l - m.
-2*(l - 3)*(4*l - 1)/7
Let x(j) = -2*j**5 - 2*j**4 + 7*j**3 + 7*j**2 - 10. Let q(w) = -w**5 - w**4 + 3*w**3 + 3*w**2 - 4. Let g(r) = -5*q(r) + 2*x(r). Factor g(o).
o**2*(o - 1)*(o + 1)**2
Let p(u) be the