2 - (((-182)/(-16))/7)/(4/(-16)). Determine x, given that 3/2*x**4 - b*x**3 + 3/2*x**5 - 15/2*x**2 - 3*x + 0 = 0.
-1, 0, 2
Let a(r) be the third derivative of r**8/1176 - 3*r**7/245 + 2*r**6/35 - 8*r**5/105 - 5*r**2. Find g, given that a(g) = 0.
0, 1, 4
Let s = 30143/7833 + 10/1119. Suppose -48/7 - 72/7*t - s*t**2 - 3/7*t**3 = 0. What is t?
-4, -1
Let x(a) be the third derivative of 0*a + 1/24*a**6 + 125/6*a**3 - 3/4*a**5 + 28*a**2 + 25/8*a**4 + 0. Factor x(t).
5*(t - 5)**2*(t + 1)
Let r = 24 - 26. Let u be 1 - (-3 - (1 + r)). Suppose 0 + 6*j**4 - 3 + 6*j**u + 15*j + 27*j**2 + 15*j**3 + 6 = 0. Calculate j.
-1, -1/2
Let u(x) be the first derivative of -x**5/20 - x**4/16 + x**3/6 - 111. Determine o, given that u(o) = 0.
-2, 0, 1
Let a(f) = f**5 + f**3 - f**2 + 1. Let w(o) = 5*o**5 + 60*o**4 - 230*o**3 + 390*o**2 - 240*o + 10. Let x(n) = -10*a(n) + w(n). Factor x(t).
-5*t*(t - 6)*(t - 2)**3
Let r be (-5)/(-1) + 7*1. Determine g so that 30*g**2 - 4*g**2 + 10 - 22*g - r*g**2 - 2*g**3 = 0.
1, 5
Suppose 3*j + 4*w = 73 + 83, w = 5*j - 237. Let n be -5*(j/(-20) - -2). Factor -33 + 2*q**5 + 4*q**4 - n*q**4 + 33 - 2*q**3 - 2*q**2.
2*q**2*(q - 1)*(q + 1)**2
Let o = -80 + 35. Let y be 2/4 + -1 - o/66. Factor 0 - 24/11*m**4 + 24/11*m**2 + 8/11*m + 8/11*m**5 + y*m**3.
2*m*(m - 2)**2*(2*m + 1)**2/11
Suppose -4*m + 10 = m. Let y(q) be the first derivative of -2*q**2 + m*q**3 + 3*q**2 + 0*q**2 - 3*q**2 - 2*q + 5. Factor y(g).
2*(g - 1)*(3*g + 1)
Suppose 17 + 11 = 2*f + 4*j, -3*j = 2*f - 26. Determine l, given that -4*l**2 + f*l**2 + 3*l**2 + 6*l - 3*l**4 = 0.
-1, 0, 2
Suppose -9*x = 57*x. Let 0 - 3/5*o**5 + 0*o**2 + x*o - 3/5*o**4 + 6/5*o**3 = 0. What is o?
-2, 0, 1
Let p(n) = n**2 - 1. Let r(a) = -3*a + 2*a**2 - 4*a + 9 - 8*a**2 - a**2. Let v(z) = 5*p(z) + r(z). Solve v(j) = 0 for j.
-4, 1/2
Let m = 37 - 34. Let s(v) be the third derivative of 0*v**m + v**2 + 1/240*v**5 + 0 - 1/96*v**4 + 0*v. Factor s(w).
w*(w - 1)/4
Factor -45 - 3/2*r + 3/2*r**2.
3*(r - 6)*(r + 5)/2
Let d(q) = q**2 + 4*q. Let y be d(-4). Suppose 752 - 734 = 3*s + 4*z, z = 5*s - 7. Find w such that 0*w**s - 1/2*w**3 + 1/2*w + y = 0.
-1, 0, 1
Let z(j) be the first derivative of j**3/12 + 7*j**2/4 + 49*j/4 + 74. Determine v, given that z(v) = 0.
-7
Suppose -5*s = -10*s + 10. Let f be (-2)/(-8) - 1/4. Solve 6*m + s*m**3 + f*m + 2*m**2 + m**2 - 5*m**3 = 0 for m.
-1, 0, 2
Determine s, given that 1/2*s**2 - 1/2 + 3/4*s = 0.
-2, 1/2
Let y(w) be the second derivative of -5*w**4/12 + 25*w**3 - 1125*w**2/2 - 105*w + 1. What is v in y(v) = 0?
15
Let u(j) = 4*j**3 + 10*j**2 + 27*j. Let z(f) = f**3 - f**2 - f. Let l(o) = -4*u(o) + 12*z(o). Determine n, given that l(n) = 0.
-10, -3, 0
Solve 0*f**2 + 1/3*f**4 - 2*f**3 + 1/3*f**5 + 0 + 0*f = 0 for f.
-3, 0, 2
Let d(a) be the third derivative of a**9/1008 + a**8/560 - a**7/280 - a**6/120 - 13*a**3/6 - a**2. Let p(f) be the first derivative of d(f). Factor p(t).
3*t**2*(t - 1)*(t + 1)**2
Let l(r) be the first derivative of r**3 + 0*r**2 + 0*r**4 - 1/1620*r**6 + 0*r + 2 + 0*r**5. Let o(c) be the third derivative of l(c). Solve o(n) = 0 for n.
0
Factor -57 + 202 - 40*g + 2*g**2 + 55.
2*(g - 10)**2
Let a = 1 + 3. Suppose -2*x = -a*x + 20. Factor -2*o**3 + x*o**4 - 3*o**2 + o**3 + o - 7*o**4.
o*(o - 1)*(o + 1)*(3*o - 1)
Let p(h) be the first derivative of -h**7/84 + h**6/90 + h**5/12 - h**4/6 - 4*h**3/3 - 2. Let j(a) be the third derivative of p(a). Factor j(s).
-2*(s - 1)*(s + 1)*(5*s - 2)
Suppose 8*i = -41*i. Let o(t) be the third derivative of i*t + 0*t**3 + 0 + 2*t**2 + 1/300*t**5 + 1/60*t**4. Solve o(y) = 0 for y.
-2, 0
Let d(z) = -75*z**2 - 1359*z - 1728. Let s(h) = -5*h**2 - 85*h - 108. Let n(w) = 2*d(w) - 33*s(w). Factor n(r).
3*(r + 4)*(5*r + 9)
Let d(n) = n**3 - 12*n**2 - 19*n + 22. Let s(t) = 2*t**3 - 23*t**2 - 39*t + 46. Let w(b) = -7*d(b) + 4*s(b). Factor w(h).
(h - 10)*(h - 1)*(h + 3)
Let d(h) be the first derivative of 6 + 21/16*h**4 - 3/40*h**5 - 33/8*h**3 - 21*h**2 - 24*h. Solve d(n) = 0.
-1, 8
Let x(u) be the second derivative of -3*u**2 + 0*u**3 - 5*u + 0*u**4 - 1/45*u**5 - 1/36*u**6 + 0. Let s(h) be the first derivative of x(h). Factor s(w).
-2*w**2*(5*w + 2)/3
Suppose -3*v = -2*v - 6. Determine n so that n**4 + v*n - 6*n - 3*n**3 = 0.
0, 3
Let z(g) = g**2 - 454*g + 12328. Let o be z(29). Factor -80/3*k + 50/3 - 4/3*k**o - 38/3*k**2.
-2*(k + 5)**2*(2*k - 1)/3
Suppose -100*m = 5*m. Factor -8/9*q**2 + 0 - 2/9*q**4 + m*q - 8/9*q**3.
-2*q**2*(q + 2)**2/9
Let z(a) be the second derivative of -a**4/6 - 151*a**3/7 + 130*a**2/7 + 94*a. Factor z(t).
-2*(t + 65)*(7*t - 2)/7
Let s = 2559/10300 - -4/2575. Find x, given that -s*x + 0 + 1/8*x**2 = 0.
0, 2
Let z(j) be the second derivative of j**5/80 - j**4/16 - 3*j**3/8 - 5*j**2/8 - 495*j. Find t such that z(t) = 0.
-1, 5
Let g(n) = 15*n**4 - 18*n**2 + 18*n. Let w(c) = -28*c**4 + c**3 + 35*c**2 - 37*c. Let k(q) = 11*g(q) + 6*w(q). Suppose k(f) = 0. Calculate f.
-2, 0, 2
Let z(o) be the third derivative of -o**6/270 - 14*o**5/9 - 1225*o**4/6 + 205*o**2. Factor z(a).
-4*a*(a + 105)**2/9
Let y(o) be the first derivative of o**3/7 - 93*o**2/7 - 230. Factor y(q).
3*q*(q - 62)/7
Let o be (0 + -1)*(5 - 8328/1696). Let x = 18/53 + o. Find h, given that -x + 1/4*h**2 + 0*h = 0.
-1, 1
Let y be (-711)/(-513) + 4 + (-847)/209. Solve 14/9*c**3 + 34/9*c + 34/9*c**2 + 2/9*c**4 + y = 0 for c.
-3, -2, -1
Let q(n) be the first derivative of 2/7*n**2 + 1/14*n**4 + 0*n - 14 - 2/7*n**3. Factor q(s).
2*s*(s - 2)*(s - 1)/7
Let j = -44812/3 + 14938. Find u such that -2/21*u**4 - 4/7 + j*u**2 - 2/21*u**3 + 2/21*u = 0.
-3, -1, 1, 2
Let v(y) be the first derivative of -5*y**4/16 - 55*y**3/12 + 35*y**2/4 + 30*y - 6. Factor v(a).
-5*(a - 2)*(a + 1)*(a + 12)/4
Let j = 3951 + -2356. Suppose 69 = 2*x - j. Solve -124*k**4 - 62*k - 388*k**4 - 352*k**2 + 445*k**5 - 4 + 67*k**5 - x*k**3 = 0.
-1/4, 2
Let s be 4345/30660*-2 - 4/(-14). Let k = s + 2621/3066. Factor 0*o**2 - 3/7*o**3 + 9/7*o - k.
-3*(o - 1)**2*(o + 2)/7
Let i(n) be the second derivative of 0 - 2/21*n**3 + 9*n + 1/42*n**4 + 1/35*n**5 - 1/7*n**2. Factor i(d).
2*(d - 1)*(d + 1)*(2*d + 1)/7
Suppose -2*q**3 - 16*q**4 - 36*q**2 - 100*q - 10*q**3 - 30*q**3 + 100*q - 2*q**5 = 0. What is q?
-3, -2, 0
Suppose -4*l + 4 = z, 100*l = -3*z + 97*l + 57. Find q, given that 57*q + z - 9/2*q**3 + 57/2*q**2 = 0.
-1, -2/3, 8
Determine a so that -6/11 + 2/11*a**2 + 4/11*a = 0.
-3, 1
Let n(k) be the third derivative of k**7/14 + 27*k**6/40 + 2*k**5 + 3*k**4/2 + 50*k**2. Factor n(t).
3*t*(t + 2)*(t + 3)*(5*t + 2)
Let s(t) be the first derivative of -2*t**3/45 + 44*t**2/15 - 968*t/15 - 8. Factor s(j).
-2*(j - 22)**2/15
Let x(z) be the third derivative of -2*z**7/525 - z**6/25 - 2*z**2 - 14*z. Factor x(d).
-4*d**3*(d + 6)/5
Let t(q) be the first derivative of -4*q - 1/18*q**4 + 2 + 0*q**2 - 1/10*q**5 + 0*q**3. Let h(u) be the first derivative of t(u). Find g such that h(g) = 0.
-1/3, 0
Let b(p) = -8*p. Let l be b(2). Let d = 18 + l. Solve 2/5*f**5 + 0*f - 6/5*f**4 + 0 + 6/5*f**3 - 2/5*f**d = 0.
0, 1
Let z = -9151 - -9154. Determine k so that -4/7*k - 6/7 + 8/7*k**2 + 4/7*k**z - 2/7*k**4 = 0.
-1, 1, 3
Let r(a) = -13*a - 128. Let y be r(-10). Let t(j) be the second derivative of 0 - 1/2*j**3 + 1/6*j**4 - 4*j - j**y. Let t(b) = 0. Calculate b.
-1/2, 2
Suppose 0*k + 2 = k. Suppose -13*g**3 + k*g**2 + 4*g**3 + 8*g**3 = 0. Calculate g.
0, 2
Suppose -5*x - b = -0*x - 15, 0 = -b + 5. Suppose -9 - 1 = -x*n. Find f, given that -23*f**2 - 81*f + n*f**2 - 9*f**2 + 26 - 3*f**3 - 107 = 0.
-3
Let f(q) = -2*q + 20. Let y be f(10). Factor 268*p**3 + 850*p - 476*p**4 + 196*p**5 - 16 - 914*p + 92*p**2 + y.
4*(p - 1)**3*(7*p + 2)**2
Suppose 12*m = 11*m + 4. Factor 8*s - 2*s - 1 - s**2 - m*s.
-(s - 1)**2
Let a be 15*(4 + 14/(-3)). Let m be 14/28 - a/4. Factor -18 + 2*t**3 - t**m + 30*t - 16*t**3 + 16*t**2 - 17*t**3.
-2*(t + 1)*(4*t - 3)**2
Let k(u) be the third derivative of -u**7/280 - u**6/240 + u**5/20 + 11*u**4/12 - 25*u**2. Let s(x) be the second derivative of k(x). Factor s(g).
-3*(g + 1)*(3*g - 2)
Let r(b) be the first derivative of 1/18*b**6 + 5 - 1/6*b**4 - 7/6*b**2 - 2/15*b**5 + 8/9*b**3 + 2/3*b. Factor r(d).
(d - 1)**4*(d + 2)/3
Let x(u) = -3*u**4 - 13*u**3 - 4*u**2 + 13*u. Let r(p) = p**4 + 4*p**3 + p**2 - 4*p