1 - -57. Let f(b) = k*z(b) + 9*q(b). Factor f(x).
2*(x - 2)**2*(x + 2)
Let k(d) be the first derivative of -d**2 + d + 6 - 1/6*d**4 - 2/3*d**3. Let u(m) be the first derivative of k(m). Factor u(q).
-2*(q + 1)**2
Let i(f) = 4*f**5 + 5*f**4 - 2*f**3 - 3*f + 3. Let x(h) = -7*h**5 - 9*h**4 + 3*h**3 + 5*h - 5. Let r(p) = -5*i(p) - 3*x(p). Suppose r(d) = 0. What is d?
-1, 0
Let y(l) be the first derivative of l**6/300 - l**5/30 + 25*l**2/2 - 1. Let j(i) be the second derivative of y(i). Factor j(t).
2*t**2*(t - 5)/5
Let k(t) be the third derivative of -t**7/140 - 7*t**6/160 - 9*t**5/80 - 5*t**4/32 - t**3/8 - t**2 + 22*t. Factor k(m).
-3*(m + 1)**3*(2*m + 1)/4
Let h(p) = 2*p**3 + p**2 - p + 1. Let o(w) = 13*w**3 - w**2 - 5*w + 5. Let t(f) = 5*h(f) - o(f). Let t(y) = 0. What is y?
0, 2
Let w(f) be the third derivative of f**5/330 - 2*f**4/33 - 3*f**3/11 + 43*f**2 - 2*f. Factor w(m).
2*(m - 9)*(m + 1)/11
Let i(j) be the first derivative of -1/40*j**5 - 4 - j**2 + 0*j + 1/4*j**3 + 0*j**4. Let s(h) be the second derivative of i(h). Find n, given that s(n) = 0.
-1, 1
Let d(l) be the third derivative of -6/5*l**3 + 8/75*l**6 + 8/75*l**5 + 0 - 1/2*l**4 + 0*l + 9*l**2. Factor d(y).
4*(y - 1)*(4*y + 3)**2/5
Let q = -1091 + 1094. Let f(d) be the first derivative of 7/17*d**2 - q + 4/17*d - 8/51*d**3. Suppose f(m) = 0. Calculate m.
-1/4, 2
Let y(u) be the first derivative of -2*u**2 + 2*u**4 - 4/3*u**3 + 0*u + 2. Let y(l) = 0. What is l?
-1/2, 0, 1
Let h = -187 - -190. Let o(t) be the first derivative of 0*t**2 + 5 - 1/18*t**h + 2/3*t. What is b in o(b) = 0?
-2, 2
Let v(y) be the first derivative of y**4/20 + 2*y**3/15 - 11*y**2/10 - 12*y/5 + 880. Factor v(p).
(p - 3)*(p + 1)*(p + 4)/5
Let m(p) be the third derivative of -4*p**6/55 + 148*p**5/55 - 145*p**4/44 + 18*p**3/11 + 77*p**2 - 2. Factor m(h).
-6*(h - 18)*(4*h - 1)**2/11
Let p = -31 + 36. Let d be ((-6)/(-9))/(p/30). Factor 3/2*s**3 - 3/2*s - 3/2*s**d + 3/2*s**2 + 0.
-3*s*(s - 1)**2*(s + 1)/2
Let b = 21292/45 - 4244/9. Find a, given that -44/5*a**2 + 28/5*a + b - 28/5*a**3 + 36/5*a**4 = 0.
-1, -2/9, 1
Determine c so that 0 + 4*c**2 + 8/3*c**4 + 6*c**3 + 2/3*c = 0.
-1, -1/4, 0
Let v(n) be the third derivative of -2*n**7/105 + 2*n**6/5 - 7*n**5/5 + 5*n**4/3 + 127*n**2. Suppose v(l) = 0. Calculate l.
0, 1, 10
Let q(r) be the first derivative of 2*r**3/39 - 5*r**2/13 - 72*r/13 - 241. Solve q(k) = 0.
-4, 9
Let h(m) = -5*m**4 - 6*m**3 - m**2 + 16*m - 20. Let i(u) = 3*u**4 + 4*u**3 + u**2 - 11*u + 13. Let y(g) = 5*h(g) + 8*i(g). Solve y(p) = 0.
-2, 1, 2
Let k(f) be the second derivative of -f**4/18 + 50*f**3/9 + 408*f. Suppose k(p) = 0. What is p?
0, 50
Let z = -4587/5 + 918. Factor 0 - 9/5*f - 12/5*f**2 - z*f**3.
-3*f*(f + 1)*(f + 3)/5
Let v(r) = -4*r**3 - 12*r**2 + 101*r - 107. Let k(y) = 2*y**3 + 6*y**2 - 51*y + 53. Let u(h) = -10*k(h) - 6*v(h). Factor u(b).
4*(b - 2)**2*(b + 7)
Let o(w) be the third derivative of -w**8/840 - 4*w**7/525 + w**6/25 + 16*w**5/75 - 16*w**4/15 - 124*w**2. Factor o(m).
-2*m*(m - 2)**2*(m + 4)**2/5
Factor 1/3*b**5 + 0*b**2 + 0*b - 5/3*b**4 + 0 + 2*b**3.
b**3*(b - 3)*(b - 2)/3
Let r(k) be the second derivative of 25/12*k**4 + 6*k - 105/2*k**3 + 5 - 65*k**2. Factor r(f).
5*(f - 13)*(5*f + 2)
Let r(b) be the third derivative of b**7/210 + b**6/120 - b**5/20 - b**4/24 + b**3/3 + 51*b**2. Determine z, given that r(z) = 0.
-2, -1, 1
Let v(f) = -3*f - 1. Let p be v(-5). Let g be 1 + 2 + p + -8. Determine d, given that -2*d**2 + 2 - 7*d + 0*d**2 + 2*d**2 + g*d**2 + d**4 - 5*d**3 = 0.
1, 2
Let f(q) = 16*q**2 - 52*q + 36. Let d(p) = -31*p**2 + 104*p - 73. Let j(v) = -4*d(v) - 9*f(v). Solve j(o) = 0 for o.
1, 8/5
Let d(c) be the second derivative of -c**5/30 + 17*c**4/72 - c**3/4 - 3*c**2/2 - 196*c. Let d(n) = 0. Calculate n.
-3/4, 2, 3
Let y be (9/10)/((-447)/(-596)). Factor -14/15*c**4 + 2*c**3 + 0 + 0*c - y*c**2 + 2/15*c**5.
2*c**2*(c - 3)**2*(c - 1)/15
Let h(l) = l + 1. Let g(x) be the second derivative of -x**4/12 + x**3/3 + 7*x**2/2 + 9*x. Let a(d) = 3*g(d) - 12*h(d). What is s in a(s) = 0?
-3, 1
Let z(t) be the first derivative of -t**6/3 + 18*t**5 - 285*t**4 + 2900*t**3/3 - 1365*t**2 + 882*t - 280. Factor z(h).
-2*(h - 21)**2*(h - 1)**3
Let o = -2091 + 2095. Factor -2/13*w**3 + 0 + 0*w + 2/13*w**o + 2/13*w**5 - 2/13*w**2.
2*w**2*(w - 1)*(w + 1)**2/13
Let h(t) be the first derivative of 0*t**2 - 1/60*t**4 - 4 + 3*t + 1/10*t**3. Let d(a) be the first derivative of h(a). Suppose d(l) = 0. What is l?
0, 3
Suppose 4*m + 5*u = 28, -3*m = -5*u - 0 + 14. Find x such that -10*x - 17 - x**m + 7 - 15 = 0.
-5
Suppose 219 = 2*d + c, 2*d + 2*c = d + 102. Factor -4 - f**2 + d*f - 55*f - 61*f.
-(f + 2)**2
Let f(x) be the second derivative of x**6/105 + 3*x**5/70 - x**4/7 - 8*x**3/21 + 2*x + 4. Suppose f(w) = 0. Calculate w.
-4, -1, 0, 2
Let o(k) be the first derivative of -112/3*k**3 + 38 - 364/5*k**5 + 169/12*k**6 + 111*k**4 + 4*k**2 + 0*k. Determine h so that o(h) = 0.
0, 2/13, 2
Let w = 3908983/421 - 9285. Let i = w - -3378/2105. Factor -2*h**2 + 0 - 2/5*h**4 + i*h**3 + 4/5*h.
-2*h*(h - 2)*(h - 1)**2/5
Let n(j) = 3*j**3 + 2*j**2 + 7*j. Let i = 12 + -16. Let l(d) = -4*d**3 - 3*d**2 - 7*d - 1. Let y(k) = i*l(k) - 5*n(k). Factor y(x).
(x - 1)**2*(x + 4)
Let v(u) be the first derivative of -3*u**4/28 - 22*u**3/7 + 69*u**2/14 - 49. Factor v(l).
-3*l*(l - 1)*(l + 23)/7
Suppose 0*h + 6 = 3*h. Let x(o) be the first derivative of 4*o + 80/3*o**6 + 245/2*o**4 + 232/3*o**3 + 464/5*o**5 + 25*o**h + 5. Solve x(b) = 0 for b.
-1, -2/5, -1/4
Suppose 6*r = 9*r - 9. Let i be 2/6*((-55)/(-5) - r). Factor n**2 - 1 + i*n.
(n + 3)*(3*n - 1)/3
Let p = 523 - 2599/5. Let h = -2/1341 - -42922/6705. Factor -14/5*d**2 + h*d**4 - 2/5*d + 0 - p*d**3.
2*d*(d - 1)*(4*d + 1)**2/5
Let q(w) be the second derivative of w**7/21 + 13*w**6/15 - 7*w**5/5 - 47*w. Factor q(x).
2*x**3*(x - 1)*(x + 14)
Let b(g) = g**5 + g**2 - g. Let m(f) = -20*f**5 + 5*f**4 - 15*f**3 - 30*f**2 + 35*f. Let c(d) = 25*b(d) + m(d). Determine j so that c(j) = 0.
-2, -1, 0, 1
Suppose -4*x = -r, 5*x - 18 = -2*r + r. Suppose 11*n = r*n. Suppose -2/5*q**3 + 2/5*q**2 + n*q + 0 = 0. What is q?
0, 1
Let y = -124/5 + 126/5. Find r such that 8/5*r**3 - y*r**4 + 0*r + 0*r**2 + 0 = 0.
0, 4
Let b(p) = -6*p - 34. Let y be b(-6). Suppose 0 = 2*i + y*i - h - 2, 2*i = -h - 2. Suppose -4/5*x**3 + i + 2/5*x**2 + 0*x + 2/5*x**4 = 0. What is x?
0, 1
Let y be (0/((-120)/12))/(5 + -1). Factor 2/3*u + y - 2/3*u**2.
-2*u*(u - 1)/3
Let t be (7 + -3)*(-2 + 6). Suppose -3 = 2*g + z - 7, 3*z - 2 = -g. Factor -h - 7*h - t - g*h**2 + 0*h + h**2.
-(h + 4)**2
Let d(b) = b + 4. Let y be d(3). Let r = y - 4. Factor 2*i**r + i**3 - i**4 - 2*i**3.
-i**3*(i - 1)
Let v(y) = 2*y + 17. Let j be v(0). Suppose -j = -a + 5*b, -4*b = 6 + 6. Factor -7*z**a + 8*z + 4*z**2 + 4*z**4 + z**2 - 8*z**3 - 2*z**2.
4*z*(z - 2)*(z - 1)*(z + 1)
Suppose -4*s + 5*h - 10*h - 13 = 0, -2*s = -h - 11. Find u such that 0 + 0*u + 6/7*u**4 + 2/7*u**5 + 0*u**s + 0*u**2 = 0.
-3, 0
Determine o so that 2/15*o**3 + 8/5*o**2 + 88/15*o + 32/5 = 0.
-6, -4, -2
Suppose 3*u = -21 + 3. Let z be 2 + (-1 - u) - 4. Factor -g**2 + 0*g**4 - 4*g**z - 4*g**4 - 19*g**2 + 8*g + 20*g**3.
-4*g*(g - 2)*(g - 1)**2
Let c(r) be the third derivative of -r**8/896 - r**7/56 + r**6/160 + r**5/8 - r**4/64 - 5*r**3/8 - 2*r**2 + 83*r. Find z, given that c(z) = 0.
-10, -1, 1
Suppose 3840 + 7681*q - 5*q**4 + 98*q**2 - 10241*q + 382*q**2 = 0. Calculate q.
-12, 4
Let z(v) be the first derivative of -v**6/36 + v**5/6 - v**4/4 - 2*v**3/9 + 2*v**2/3 + 75. Factor z(c).
-c*(c - 2)**3*(c + 1)/6
Let d = -3586 + 1129591/315. Let l(i) be the third derivative of 1/72*i**4 - d*i**7 - 1/120*i**6 + 0 + 0*i**5 + 3*i**2 + 0*i**3 + 0*i. Factor l(n).
-n*(n + 1)**2*(2*n - 1)/3
Let x(z) be the second derivative of z**3/6 + 71*z. Let m(u) = -4*u**3 - 12*u**2 - 16*u - 4. Let v = 1 + -5. Let y(g) = v*x(g) - m(g). Factor y(p).
4*(p + 1)**3
Let x(l) = 21*l**2 + 51*l - 72. Let w(t) = 5*t**2 + 13*t - 18. Let a = 79 - 81. Let c(p) = a*x(p) + 9*w(p). What is q in c(q) = 0?
-6, 1
Suppose 5*k - 12 = -2*d, 2*k - 6 = 2*d + 10. Suppose 40 = 4*w - 4*p, -k*w = -5*p - 15 - 28. Suppose -7*t + t**3 + 7*t**2 + 9 + 15*t + w*t = 0. Calculate t.
-3, -1
Suppose 5*r = -x + 1 + 12, -5*x = -5*r + 25. Fa