5 = -o - 3*o. Factor 2050*p + 37 - o*p + 4*p**2 - 13.
4*(p - 3)*(p - 2)
Let c be ((-12)/10)/((-4)/10). Solve -20*x - 3*x**2 + 0*x**3 - 12 - x**2 + x**3 + c*x**3 = 0.
-1, 3
Let f(p) be the first derivative of p**4/16 - 5*p**3/3 + 25*p**2/2 + 150. Factor f(c).
c*(c - 10)**2/4
Let j be 0*(6 - 3)/6. Factor 0 + j*t + 0*t**2 + 2/11*t**3.
2*t**3/11
Let p = 9247/9 + -1027. Determine d, given that -2/9*d**3 + p + 8/9*d**2 - 10/9*d = 0.
1, 2
Let 8*f**2 - 16/3*f**3 + 0*f + 0 + 2/3*f**5 - 2/3*f**4 = 0. Calculate f.
-3, 0, 2
Let p(m) = 3*m**3 + 3*m**2 - 6*m - 7. Let y(z) = -z**3 - z**2 + 2*z + 2. Let c(s) = 4*p(s) + 14*y(s). Factor c(q).
-2*q*(q - 1)*(q + 2)
Let r(y) = -y**2 + 7*y + 21. Let z be r(9). Determine i, given that -5*i**2 + 3*i**2 + 3 + i**z - i**2 - i + 0*i = 0.
-1, 1, 3
Let i(s) be the first derivative of s**4 - 4*s**3/3 - 16*s**2 + 48*s - 90. Factor i(o).
4*(o - 2)**2*(o + 3)
Suppose 21*p + 36*p**3 + 36*p**3 - 66*p**2 + 3*p**5 + 62959*p**4 + 1 - 1 - 62989*p**4 = 0. Calculate p.
0, 1, 7
Suppose 8*y = 4 + 28. Suppose -y*g + 3*c + 14 = 0, -3*g + 0 = -4*c - 14. Factor 2/3 - 3*l - 14/3*l**3 + 16/3*l**g - 1/3*l**5 + 2*l**4.
-(l - 2)*(l - 1)**4/3
Suppose -5*g + 2*k + 9 = 0, -221*g + 223*g = -3*k + 15. Let r be 50/8 + 1/2. Determine l so that -15/4*l**g + 9*l**2 - r*l + 3/2 = 0.
2/5, 1
Let l = 256 - 172. Suppose 85*f = l*f. Find m such that 0*m + f - 3/7*m**2 = 0.
0
Let n(q) = -2*q + 2*q**3 - 5*q**2 - 3*q**3 - 7 + 0*q**3. Let i be n(-5). Determine o, given that o**3 - 7*o**3 + 8*o**i - 2*o**4 = 0.
0, 1
Let h be 3/17*4182/369. Solve 16/3*r**4 + 0 + 0*r**h + 4*r**5 + 0*r + 4/3*r**3 = 0.
-1, -1/3, 0
Let i = -5672 + 5674. Factor 8 + 1/8*h**3 + 6*h + 3/2*h**i.
(h + 4)**3/8
Let i(r) be the third derivative of r**7/105 + 13*r**6/60 + 41*r**5/30 + 47*r**4/12 + 6*r**3 + r**2 + 301. Factor i(u).
2*(u + 1)**2*(u + 2)*(u + 9)
Let j(i) be the third derivative of -i**5/90 - 10*i**4/9 + 41*i**3/9 - 51*i**2. Suppose j(g) = 0. What is g?
-41, 1
Suppose -7*d = -9*d + 6. Let 50 + 48 - 34 - 32*j + 7*j**2 - d*j**2 = 0. What is j?
4
Let m(y) be the third derivative of y**6/30 + 13*y**5/15 - y**4/6 - 26*y**3/3 - 86*y**2 - 2. Suppose m(n) = 0. What is n?
-13, -1, 1
Let f(b) be the second derivative of b**4/30 - b**3 + 158*b. Factor f(c).
2*c*(c - 15)/5
Let o(s) = -20*s**2 + 40*s - 28. Let f(h) = 13*h**2 - 27*h + 19. Suppose 0 = 4*l - 2*l + 16. Let u(g) = l*f(g) - 5*o(g). Find r such that u(r) = 0.
1, 3
Let g(j) be the third derivative of -j**7/105 - j**6/15 - j**5/15 + j**4/3 + j**3 - 36*j**2. Factor g(v).
-2*(v - 1)*(v + 1)**2*(v + 3)
Let i(n) be the second derivative of n**9/3024 - n**8/980 + n**7/1960 + n**6/1260 + n**3 - 16*n. Let w(d) be the second derivative of i(d). Factor w(o).
o**2*(o - 1)**2*(7*o + 2)/7
Let d be -7 + (205/20 - 18/6). Factor -d*w**2 + w - 3/4.
-(w - 3)*(w - 1)/4
Let h(k) be the third derivative of 0*k**6 - 1/12*k**5 + 0*k**3 + 0*k + 1/42*k**7 - 46*k**2 + 0*k**4 + 0. Find t such that h(t) = 0.
-1, 0, 1
Let x(j) = -3*j - 1. Let n(d) = -20*d**2 - 23*d + 91. Let z(m) = -n(m) + 5*x(m). Let z(s) = 0. Calculate s.
-12/5, 2
Let i(b) = 6*b**3 + 39*b**2 + 168*b + 228. Let j(d) = -d**3 - d - 1. Let p(u) = -i(u) - 3*j(u). Factor p(f).
-3*(f + 3)*(f + 5)**2
Let s(h) be the first derivative of -28*h**2 - 12*h + 10 - 196/9*h**3. Factor s(y).
-4*(7*y + 3)**2/3
Solve 228/11*z - 234/11 + 6/11*z**2 = 0 for z.
-39, 1
Let n(f) = 2*f**3 + 10*f**2 + 13*f + 5. Let k(a) = 39*a**2 - 74*a**2 + 30*a**2 - 7*a - 3 + 0*a**3 - a**3. Let p(x) = -5*k(x) - 3*n(x). Factor p(t).
-t*(t + 1)*(t + 4)
Let f(v) = -v**3 + 9*v**2 + 16*v - 39. Let q(w) = -2*w**3 + 19*w**2 + 33*w - 77. Let j(o) = 7*f(o) - 3*q(o). Factor j(s).
-(s - 7)*(s - 2)*(s + 3)
Let z(g) be the second derivative of 0*g**3 + 2/25*g**5 + 1/15*g**4 + 0 - 17*g + 0*g**2 + 2/75*g**6. Factor z(j).
4*j**2*(j + 1)**2/5
Let m = -39 - -41. Factor -12*p + 421*p**4 + 32*p**m + 3*p**3 - 409*p**4 - 80*p**2.
3*p*(p - 2)*(p + 2)*(4*p + 1)
Let z(q) = -15*q**4 - 150*q**3 - 112*q**2 + 166*q + 127. Let m(x) = -5*x**4 - 50*x**3 - 37*x**2 + 56*x + 42. Let t(u) = -8*m(u) + 3*z(u). Factor t(r).
-5*(r - 1)*(r + 1)**2*(r + 9)
Let s(q) = 85*q - 550. Let k(z) = z**2 + 85*z - 550. Let l(j) = -5*k(j) + 4*s(j). Suppose l(o) = 0. Calculate o.
-22, 5
Suppose 7 - 1 = -w. Let y be (-12)/(-12) - w/(-8). Factor -1/4*m**2 - 1/4*m + 1/4 + y*m**3.
(m - 1)**2*(m + 1)/4
Let l(k) = -k**3 + 6*k**2 + 8*k - 5. Let o be l(7). Determine a, given that 2*a**o - 81*a**3 - 2*a**5 + 91*a**3 - 2*a**4 - 4*a - 4*a**5 = 0.
-1, 0, 2/3, 1
Let w = -34 - -40. Let c(o) be the first derivative of 0*o - 4/21*o**3 + 1/21*o**w - 1/7*o**2 + 4/35*o**5 + 6 + 0*o**4. Factor c(z).
2*z*(z - 1)*(z + 1)**3/7
Determine j, given that -1/4*j**5 + 1/2*j + 0 - 3/4*j**4 - 1/4*j**3 + 3/4*j**2 = 0.
-2, -1, 0, 1
Let q(p) = 2*p**2 - 2*p - 1. Let j be q(-1). Let n(t) be the third derivative of 5*t**2 + 0*t**j + 0 + 0*t - 1/15*t**5 - 1/6*t**4. Factor n(h).
-4*h*(h + 1)
Let g(z) be the third derivative of z**7/420 + z**6/120 - z**5/40 - z**4/12 + z**3/3 - 2*z**2. Find f such that g(f) = 0.
-2, 1
Let w(o) = -93*o**3 + 456*o**2 - 768*o + 270. Let y(d) = 7*d**3 - 35*d**2 + 59*d - 21. Let j(c) = 2*w(c) + 27*y(c). What is h in j(h) = 0?
1, 9
Let l = 49 - 45. Solve p**2 - 4*p**2 - p**4 + l*p**4 = 0 for p.
-1, 0, 1
Let l(m) be the second derivative of 2*m**6/15 + 4*m**5/5 - m**4 - 20*m**3/3 + 16*m**2 - 6*m + 2. Find t, given that l(t) = 0.
-4, -2, 1
Suppose 5*p + 29 = 49. Factor 2/5*j**5 + 12/5*j**p + 4/5 + 18/5*j + 28/5*j**3 + 32/5*j**2.
2*(j + 1)**4*(j + 2)/5
Let c(o) be the first derivative of -o**7/210 - o**6/72 + o**5/36 + 5*o**4/72 - o**3/9 + 8*o**2 - 4. Let j(m) be the second derivative of c(m). Solve j(v) = 0.
-2, -1, 1/3, 1
Factor -271*o + 3*o**2 + 167*o - 676*o + 50700.
3*(o - 130)**2
Let j(v) be the third derivative of -v**5/12 + 10*v**4/3 - 25*v**3/2 - 6*v**2 - 1. Suppose j(p) = 0. Calculate p.
1, 15
Suppose 2*c - 9*j + 4*j = 25, j - 2 = -c. Solve 0*d**2 + 1/6*d**c + 0 + 0*d + 0*d**3 + 1/3*d**4 = 0.
-2, 0
Let c(d) = 320*d**4 + 1362*d**3 - 1277*d**2 - 376*d - 27. Let h(a) = a**3 - a**2 + 2*a - 1. Let x(s) = -c(s) + 2*h(s). Let x(i) = 0. What is i?
-5, -1/8, 1
Let q(m) be the first derivative of m**5/4 - 35*m**4/4 + 245*m**3/2 - 1715*m**2/2 + 24*m - 16. Let a(t) be the first derivative of q(t). What is i in a(i) = 0?
7
Solve -4*s**4 + s - 19/2*s**2 + 0 + 25/2*s**3 = 0 for s.
0, 1/8, 1, 2
Let r be (-354)/1416*(0 + -9 - 3). Factor 2/3*x + 2/9*x**4 + 0 + 2/9*x**r - 10/9*x**2.
2*x*(x - 1)**2*(x + 3)/9
Let a be (-3)/(-7) - 135/315. Let g(v) be the third derivative of 3*v**2 - 1/3*v**4 + 1/15*v**6 + 1/10*v**5 - 4/3*v**3 + 0*v + a + 1/105*v**7. Factor g(z).
2*(z - 1)*(z + 1)*(z + 2)**2
Let l(g) be the first derivative of -7 + 1/2*g**4 - 23/3*g**2 + 62/9*g**3 - 22/3*g. Factor l(j).
2*(j - 1)*(j + 11)*(3*j + 1)/3
Let m(h) be the third derivative of 0 + 0*h - 1/150*h**5 + 3/20*h**4 + 35*h**2 + 0*h**3. Solve m(i) = 0.
0, 9
Determine k so that 48*k - 137/7*k**2 - 28 + 1/7*k**5 - 13/7*k**3 + 9/7*k**4 = 0.
-7, 1, 2
Let s(v) = -2*v**2 + 2*v - 146. Let p be s(0). Let g = p - -146. Find y such that 0*y**2 + 0*y + 5/4*y**4 + g + 1/4*y**3 = 0.
-1/5, 0
Let r(o) be the third derivative of -o**8/4480 + o**7/560 - o**6/240 + o**4/3 - 12*o**2. Let d(s) be the second derivative of r(s). Let d(l) = 0. Calculate l.
0, 1, 2
Let h = 1822 + -1822. Let v(z) be the third derivative of 0 - 5*z**2 - 3/80*z**6 + 0*z - 17/240*z**5 + 1/6*z**3 + h*z**4 - 1/168*z**7. Solve v(d) = 0 for d.
-2, -1, 2/5
Suppose -8*d + 80 = -0*d. Suppose k + 4 = -4*p - k, -5*k = d. Let p*f + 1/2*f**2 + 0 = 0. What is f?
0
Let j(b) be the third derivative of 0 - 1/420*b**7 - 13*b**2 + 0*b + 0*b**5 + 1/12*b**3 + 1/24*b**4 - 1/120*b**6. Factor j(v).
-(v - 1)*(v + 1)**3/2
Suppose 11*v = -v + 360. Factor 18 + 3*q**4 - 3*q**2 - 6*q**3 - v + 12 + 6*q.
3*q*(q - 2)*(q - 1)*(q + 1)
Let p be 147/812 - (-8)/116. Factor 2*g + p*g**2 + 4.
(g + 4)**2/4
Let n = 3380/11 - 306. Find y, given that -16/11*y - n*y**3 + 28/11*y**2 + 0 + 2/11*y**4 = 0.
0, 1, 2, 4
Let q(v) be the first derivative of 5*v**4/4 + 31*v**3/3 - 68*v**2/5 + 28*v/5 - 127. Factor q(g).
(g + 7)*(5*g - 2)**2/5
Let o be 18/36*-2*14. Let n be 24/o + (-1 - -3). Factor n*d**4 + 12/7*d**3 + 6/7 + 20/7*d + 24/7*d**2