(w - 2)**2*(5*w - 2)
Let g(j) be the first derivative of -j**5/5 + 8*j + 32. Let z(h) be the first derivative of g(h). Solve z(w) = 0 for w.
0
Let a(u) be the first derivative of -2*u**3/9 - 650*u**2/3 - 211250*u/3 + 167. Factor a(x).
-2*(x + 325)**2/3
Solve 2/3*y**4 + 23/2*y**2 + 19/3 + 131/6*y - 40/3*y**3 = 0 for y.
-1/2, 2, 19
Let j = -45 + 104. Let i = j - 47. Factor 3*t - 13*t - i + 8*t**2 + 0*t**2.
2*(t - 2)*(4*t + 3)
Suppose 0*b = 2*b - 2*a, -2 = -4*b + 2*a. Let d be 12/3 - (b - 0). Suppose 56*k**2 + 12*k + 20*k**3 - 8*k**2 - 7*k**d + 8*k**3 = 0. What is k?
-2, -2/7, 0
Let d be 5 - (-74 + 1 + 4). Determine t, given that 6*t**2 + d*t**5 - 14*t**5 - 168*t**3 - 38*t**2 - 154*t**4 - 42*t**4 = 0.
-2/5, -1/3, 0, 4
Suppose -3387*c + 1719*c = -1711*c + 86. Factor -2/3*k**c - 196/3*k - 4802/3.
-2*(k + 49)**2/3
Let r = -589 - -594. Suppose 441*z - 41*z + r*z**4 + 90*z**3 + 465*z**2 - 466 - 494 = 0. What is z?
-8, -3, 1
Let b(n) be the first derivative of -n**3/3 + 6*n**2 - 2*n + 94. Let x(s) = -12*s + 3. Let w(t) = -3*b(t) - 2*x(t). Determine f so that w(f) = 0.
0, 4
Suppose -2 + 32 = 15*w. Let s be 1 - (-7)/((-21)/w). Factor 4/3*v + s*v**2 + 0.
v*(v + 4)/3
Let r = 71649 + -71647. Determine a, given that 4/15*a**3 - 32/15 + 16/3*a - 34/15*a**r = 0.
1/2, 4
Let l(b) be the second derivative of b**6/10 - 33*b**5/20 + 9*b**4/4 + 11*b**3/2 - 15*b**2 + 6*b + 334. Factor l(o).
3*(o - 10)*(o - 1)**2*(o + 1)
Let r(f) be the third derivative of f**7/16380 - f**6/1170 + f**5/260 - f**4/12 - 2*f**3 - 95*f**2. Let o(b) be the second derivative of r(b). Factor o(w).
2*(w - 3)*(w - 1)/13
Factor 64 - 302/9*o**2 + 220/3*o + 2/3*o**3.
2*(o - 48)*(o - 3)*(3*o + 2)/9
Let f be -7 + (-865)/(-105) + (-15 - (-3030)/210). Factor -4 + 2/3*s**2 - f*s.
2*(s - 3)*(s + 2)/3
Factor -10*b**4 + 3136*b - 406*b**2 + 12*b**4 + 7*b**3 + 53*b**3 + 1400*b**2 + 32*b**3.
2*b*(b + 7)**2*(b + 32)
Let y(u) be the third derivative of -u**5/120 + 617*u**4/48 + 103*u**3/2 + 1621*u**2. Factor y(r).
-(r - 618)*(r + 1)/2
Let d(v) be the first derivative of -v**6/45 + 64*v**5/75 - 24*v**4/5 + 100*v**3/9 - 191*v**2/15 + 36*v/5 - 2382. Suppose d(l) = 0. Calculate l.
1, 2, 27
Let j(r) be the third derivative of 4*r**6/75 + 19*r**5/30 + 61*r**4/30 - 8*r**3/15 + 648*r**2. Find p such that j(p) = 0.
-4, -2, 1/16
Find u, given that -1/3*u**3 + 15*u**2 + 478/3*u + 144 = 0.
-8, -1, 54
Let m(u) be the first derivative of -u**3/3 - 75*u**2/2 + 946*u - 4862. Solve m(a) = 0.
-86, 11
Let z = -563 + 575. Let d(b) be the second derivative of -2*b**4 + z*b + 0 + 4/5*b**6 - 2/21*b**7 + 6*b**3 + 0*b**2 - 8/5*b**5. Solve d(m) = 0 for m.
-1, 0, 1, 3
Let h(u) be the third derivative of 0 + 7/2*u**4 + 16*u**3 + 0*u - 1/40*u**6 + 102*u**2 + 1/5*u**5. Factor h(r).
-3*(r - 8)*(r + 2)**2
Factor 1/5*z**3 - 16/5 + 33/5*z - 18/5*z**2.
(z - 16)*(z - 1)**2/5
Let x be 5*-3*42/(-18). Suppose 13*w + 9 = x. Factor 5/3*h**w - 1 + 2/3*h.
(h + 1)*(5*h - 3)/3
Let z be 3 + -4 + 3/(-6)*-8. Factor -5*q**4 + 4 + 3*q**4 + 8*q**4 - z*q**3 - 2*q - 10*q**2 + 5*q**3.
2*(q - 1)*(q + 1)**2*(3*q - 2)
Let n(b) be the second derivative of 16*b**7/273 + 32*b**6/65 + 92*b**5/65 + 20*b**4/13 + 25*b**3/39 - 1217*b. Determine l so that n(l) = 0.
-5/2, -1/2, 0
Let u(r) = -7*r**3 + 46*r**2 + 166*r - 115. Let d be u(9). What is g in 28/3*g + 98/9*g**2 + d = 0?
-3/7
Let s(g) be the second derivative of g**7/21 + 68*g**6/25 - 331*g**5/50 - 567*g**4/5 - 3508*g**3/15 + 168*g**2 - 2335*g + 1. Find y, given that s(y) = 0.
-42, -2, 1/5, 5
Suppose 8 = -8*d + 136. Determine o, given that -11*o**5 + 3*o**5 - 3*o + d*o**2 + o + 4*o**5 + 4*o**3 - 8 + 2*o**5 - 8*o**4 = 0.
-4, -1, 1
Suppose -16*i**4 + 7*i**5 + 66 + 11*i**3 + 0*i**2 - 2*i**2 - 28 - 38 = 0. What is i?
0, 2/7, 1
Let u = -101814 - -101994. Find o such that -4/5*o**2 - u + 24*o = 0.
15
Let k(c) = 29*c**2 - 98*c - 318. Let m(j) = -19*j**2 + 102*j + 319. Let g(l) = 2*k(l) + 3*m(l). Determine u, given that g(u) = 0.
-107, -3
Suppose 5*r - 3*k - 9 = 0, -4*k + 0 - 7 = -5*r. Factor -13*o**2 + 16*o**2 - 37*o**3 + 34*o**r.
-3*o**2*(o - 1)
Suppose 44*t + 18*t - 297 = -37*t. Let i(h) be the first derivative of -2*h + 3/2*h**2 - 19 - 1/3*h**t. Factor i(p).
-(p - 2)*(p - 1)
Let 1/2*c**4 - 9/2*c + 5/2*c**3 + 3/2*c**2 + 0 = 0. What is c?
-3, 0, 1
Factor -7/6*h**2 + 59/6*h - 35/3.
-(h - 7)*(7*h - 10)/6
Let f be 26/(1/2*-1). Let k be 0/(5*(-3 - f/20)). Determine a so that k*a**2 + 26 - 55*a**2 + 40*a + 15*a**3 - 6 = 0.
-1/3, 2
Let z = -104 - -107. Solve 504 + 5*v - 23*v - 3*v**2 + 3*v**z - 504 = 0.
-2, 0, 3
Suppose 3*k - 6 = 0, -3*m + 5*m + 4*k = 12. Factor 162 + 21*x**2 + 26*x + x**3 + 19*x - 37*x**m.
(x - 9)**2*(x + 2)
Let 17*q - 48*q + q**2 + 8*q + 0*q**2 + 12*q = 0. Calculate q.
0, 11
Let o(g) be the first derivative of g**6/6 - 48*g**5/5 + 151*g**4/2 - 208*g**3 + 369*g**2/2 - 2610. Let o(z) = 0. What is z?
0, 1, 3, 41
Let w be 33 - 3*(4/(-6) - 0). Suppose -13 = -16*n + w. Find m, given that -1/7*m**5 + 0*m + 0*m**2 + 0*m**n + 0 - 2/7*m**4 = 0.
-2, 0
Let g(s) = -s**3 - 15*s**2 + 13*s - 39. Let w be g(-16). Let t be (w/4)/(108/24). Factor -x**2 + t + 1/2*x**5 + 1/2*x - x**3 + 1/2*x**4.
(x - 1)**2*(x + 1)**3/2
Let y(v) = -5*v**5 + 7*v**4 - 2*v**3 + 36*v**2 - 57*v + 33. Let n(d) = -d**5 + 2*d**4 - d**2 + d + 1. Let x(z) = -30*n(z) + 5*y(z). Let x(s) = 0. What is s?
-3, 1, 3
Let d(l) be the first derivative of l**4/2 - 34*l**3/3 + 80*l**2 - 128*l + 624. Let d(p) = 0. What is p?
1, 8
Suppose 930*g = 772*g. Find c such that c - 2/9*c**2 + g = 0.
0, 9/2
Let m(z) be the third derivative of 2*z - 5/24*z**4 - 31*z**2 + 1/42*z**7 + 0*z**3 - 1/12*z**5 + 0 + 1/24*z**6. Find x, given that m(x) = 0.
-1, 0, 1
Let i(h) be the third derivative of 44 + 1/1380*h**6 - 4*h**2 + 0*h + 0*h**5 - 4/23*h**3 - 13/276*h**4. What is b in i(b) = 0?
-3, -1, 4
Let r be (10/(-75))/((-99)/66). Let f(s) be the second derivative of 0*s**2 - 1/150*s**5 - 17*s + r*s**3 + 0 + 1/30*s**4. What is y in f(y) = 0?
-1, 0, 4
Let w(l) = l**3 + 26*l**2 + 23*l - 47. Let c be w(-25). Factor 0*m - 2*m - 116*m**3 + 10*m**2 + m + 107*m**c.
-m*(m - 1)*(9*m - 1)
Let m(c) be the first derivative of 0*c + 149 + 2/35*c**5 + 0*c**4 + 1/42*c**6 - 1/14*c**2 - 2/21*c**3. Factor m(t).
t*(t - 1)*(t + 1)**3/7
Let d(o) be the third derivative of o**8/80640 - o**7/20160 + o**5/60 - 19*o**3/6 + 9*o**2 - 2. Let s(c) be the third derivative of d(c). Solve s(y) = 0.
0, 1
Suppose 3*v - 131 = -2*c, -5*c + 605 = -5*v + 215. Let z = 76 - c. Find l such that -9/2*l**4 + 9/2*l**2 - 3/2*l**5 + 15/2*l**z - 6*l + 0 = 0.
-4, -1, 0, 1
Suppose -7*o - 126 = -5*j, -3*j - 1459*o = -1464*o - 90. Find b such that -6/11*b**2 + j*b + 8/11 - 2/11*b**3 = 0.
-2, 1
Suppose 2*f - 17 = -y, -f = -5*y + y - 13. Suppose -j - 5*x + 10 = 0, 3*j + 3*x - 94 = -2*j. Let -35*k**2 - f*k**2 - 100 + 102*k + 58*k - j*k**2 = 0. What is k?
5/4
Factor -635*b + 16 - 114 + 424*b - 7 - b**3 - 107*b**2.
-(b + 1)**2*(b + 105)
Let m(g) be the second derivative of 1/6*g**4 + 1/90*g**6 + 2/15*g**5 - 7/6*g**2 - 4/9*g**3 + 7*g - 4. Factor m(d).
(d - 1)*(d + 1)**2*(d + 7)/3
Suppose 3*l + 4 = -u, 0*l + 4*u + 16 = -l. Let h be ((-2)/(-8))/(55/220). Factor h - i + 0*i**2 - i**3 + l - i**2 + 2*i**3.
(i - 1)**2*(i + 1)
Let i(g) = 193*g**2 + 11967*g + 74. Let p be i(-62). Determine j, given that 18*j + 3/2*j**4 - 15/2*j**3 - p*j**2 + 0 = 0.
-2, 0, 1, 6
Factor 0*t**2 + 28*t**3 + 0 + 0*t - 1/2*t**5 - 1/2*t**4.
-t**3*(t - 7)*(t + 8)/2
Let w(r) = -7*r**2 + 190*r - 424. Let x(n) = 6*n**2 - 165*n + 426. Let b(p) = -3*w(p) - 4*x(p). Let b(v) = 0. Calculate v.
6, 24
Determine h, given that 0 - 492*h**2 - 93*h**4 - 15*h**5 - 4 - 8540*h**3 + 4 - 120*h + 9062*h**3 = 0.
-10, -1/5, 0, 2
Suppose 6*l = 15*l - 8154. Let u = -903 + l. Find v, given that 4/13*v**2 - 16/13 - 2/13*v**u + 8/13*v = 0.
-2, 2
Let s(p) be the first derivative of -p**6/12 + 3*p**5/5 + 15*p**4/8 + 4*p**3/3 + 1420. Determine l so that s(l) = 0.
-1, 0, 8
Let f(k) be the second derivative of -8/3*k**3 + 1/3*k**4 - 10*k**2 + 1 - 68*k. What is z in f(z) = 0?
-1, 5
Let p be ((-36)/30)/(-6) + 2619/5. Let y = p + -521. Factor -1/2*d - 1/6 - 1/2*d**2 - 1/6*d**y.
-(d + 1)**3/6
What is w in 0 + 51*w + 207/2*w**2 + 54*w**3 + 3/2*w**4 = 0?
-34, -1, 0
Let y be (9 - (-1 - (1843/(-95) - -9)))/(16/(-5))