w).
2*(w - 25)*(w + 2)/3
Suppose -116/13*g + 224/13 + 2/13*g**3 - 110/13*g**2 = 0. What is g?
-2, 1, 56
Factor -2/17*u**2 + 40/17*u - 200/17.
-2*(u - 10)**2/17
Let z(o) be the first derivative of -1936*o - 4/3*o**3 - 159 - 88*o**2. Find s, given that z(s) = 0.
-22
What is f in 83/2*f**4 + 1/2*f**5 + 53280*f + 2339/2*f**3 + 41472 + 25873/2*f**2 = 0?
-32, -9, -1
Factor 406*r**4 + 3*r**5 + 201*r**2 + 64*r**3 + 87*r**3 + 2*r**3 + 84*r - 367*r**4.
3*r*(r + 1)**2*(r + 4)*(r + 7)
Let u be (-11)/(444/(-88) + 5). Suppose -88*a + 70*a**2 + 726 + 68*a**2 - 136*a**2 + u = 0. Calculate a.
22
Let n(y) be the third derivative of -y**5/510 + 175*y**4/17 - 367500*y**3/17 - 116*y**2 - y. Find x, given that n(x) = 0.
1050
Find p, given that -72*p - 2183 - 281*p**4 + 2291 + 278*p**4 - 15*p**2 + 18*p**3 = 0.
-2, 2, 3
Suppose -4*a + 2*u - 2 = 4*u, -2*a = 2*u + 10. Solve 0*g**2 + 0*g - 4/5*g**3 + 2/5*g**a + 2/5*g**5 + 0 = 0.
-2, 0, 1
Suppose 9 - 7 = -2*g. Let c be (-25)/(-3) - (g + -2)/(-9). Suppose c*p**4 - 2*p**3 + 5*p**5 - 3*p**4 - 10*p**3 + 2*p**3 = 0. Calculate p.
-2, 0, 1
Determine a so that 0 + 84/5*a + 2/5*a**4 + 26*a**2 + 48/5*a**3 = 0.
-21, -2, -1, 0
Let s(w) be the first derivative of -w**6/30 + w**5/5 - w**4/2 + 2*w**3/3 - w**2/2 + w/5 - 10490. Factor s(f).
-(f - 1)**5/5
Let q(h) = 5*h**2 - 380*h - 376. Let z(m) = -13*m**2 + 1138*m + 1127. Let d(i) = -8*q(i) - 3*z(i). Let d(g) = 0. Calculate g.
-373, -1
Factor 0 + 66/19*n - 108/19*n**4 - 212/19*n**2 + 240/19*n**3 + 14/19*n**5.
2*n*(n - 1)**3*(7*n - 33)/19
Suppose 5*o = -a - 18, 0 = -4*a + 80*o - 83*o - 4. Let w(h) be the second derivative of -1/6*h**4 + 3/2*h**a + 0 + 37*h + 5/6*h**3. Find f, given that w(f) = 0.
-1/2, 3
Factor 0 + 1/4*v**5 + 3/2*v + 21/4*v**3 - 19/4*v**2 - 9/4*v**4.
v*(v - 6)*(v - 1)**3/4
Let b(t) be the third derivative of t**6/120 + t**5/15 + t**4/24 - t**3 - 221*t**2 - 2. Factor b(x).
(x - 1)*(x + 2)*(x + 3)
Let x = 73 + -71. Let -1 - 85*l**2 - 3 + 0 + 121*l**x - 32*l = 0. What is l?
-1/9, 1
Let r be 0*11/44*(-2)/8. Let x(a) be the second derivative of -1/4*a**4 - 1/4*a**3 + 3/2*a**2 + r + 3/40*a**5 + 16*a. Solve x(k) = 0 for k.
-1, 1, 2
Factor -32/5*i**3 + 128*i**2 + 0*i + 2/5*i**5 - 22/5*i**4 + 0.
2*i**2*(i - 8)**2*(i + 5)/5
Let s(c) be the second derivative of 4/15*c**5 + 5/9*c**4 + 0 - 8*c + 4/9*c**3 + 0*c**2 + 2/45*c**6. Factor s(w).
4*w*(w + 1)**2*(w + 2)/3
Factor 1184/11 + 2/11*v**2 - 596/11*v.
2*(v - 296)*(v - 2)/11
Suppose 6*k + 57 = 25*k. Factor 5*d**4 - 16*d - 19*d**4 + 4*d**4 + 28*d**2 - 8*d**k + 6*d**4.
-4*d*(d - 1)**2*(d + 4)
Let j be 13/(-28) - 12/(-14)*3087/3528. Determine d, given that -2/7*d**2 - j - 4/7*d = 0.
-1
Let j(u) be the first derivative of 1/40*u**5 - 1/8*u**3 + 5/16*u**2 - 1/32*u**4 + 96 - 1/4*u. Factor j(g).
(g - 1)**3*(g + 2)/8
Suppose -60*s**4 - 832*s**5 - 138*s**3 + 417*s**5 - 304*s**3 + 413*s**5 = 0. What is s?
-17, -13, 0
Let o(j) be the first derivative of -70*j**5 + 1370*j**4 - 4216*j**3/3 + 416*j**2 + 2112. Factor o(i).
-2*i*(5*i - 2)**2*(7*i - 104)
Let j(i) be the third derivative of 11*i**4/24 - 25*i**3/2 - 13*i**2. Let b be j(7). Factor 2*g**2 + 16*g**2 - 3*g**b - 5*g**4 + 10*g.
-5*g*(g - 2)*(g + 1)**2
Let y(z) = -3712*z**2 - 854*z - 40. Let u(c) = -3*c**2 - 3. Let f(g) = -6*u(g) - 2*y(g). Solve f(m) = 0.
-7/61
Let i(s) = -s + 5. Let b be i(-5). Let o be 140/168*4/b. Factor -2/3 + 1/3*f + o*f**2.
(f - 1)*(f + 2)/3
Suppose -2*m = -3*g + 36, 0 = -385*g + 389*g + 2*m + 22. Suppose -1/2*b**3 + 1/2*b + 0 + 1/2*b**g - 1/2*b**4 = 0. Calculate b.
-1, 0, 1
Factor 12319*s + 209*s**2 - 6111*s**3 + 141135 - 6106*s**3 + 12218*s**3.
(s + 15)*(s + 97)**2
Determine q, given that 1/3*q**4 + 229/3*q**2 + 0 - 118/3*q**3 + 116*q = 0.
-1, 0, 3, 116
Let u(d) be the second derivative of 0*d**4 + 0*d**2 - 3 + 2/5*d**6 + 1/21*d**7 + 0*d**3 + 11*d + 1/2*d**5. Solve u(b) = 0.
-5, -1, 0
Let q(o) = o**2 + 2344*o + 458645. Let a(f) = 12*f**2 + 30471*f + 5962386. Let z(s) = 2*a(s) - 27*q(s). Suppose z(w) = 0. What is w?
-391
Let t(v) = 35*v**3 + 152590*v**2 + 91189070*v + 18177011370. Let l(r) = -2*r**3 - 8976*r**2 - 5364063*r - 1069235963. Let k(y) = 50*l(y) + 3*t(y). Factor k(s).
5*(s + 598)**3
Suppose 3*h = -3*z + 3, 1 = 2*h + 4*z + 5. Let w(g) be the first derivative of -6*g**2 - 20 - g**3 + 3*g**h - 6 + 3*g - 4. Determine u so that w(u) = 0.
-1, 1/4, 1
Let g be (-2 - 447/(-99)) + (-71)/((-1491)/(-49)). Find m such that 4/11 - 4/11*m**2 + g*m - 2/11*m**3 = 0.
-2, -1, 1
Let g(h) be the first derivative of h**3/15 + 9*h**2/20 + 968. Factor g(o).
o*(2*o + 9)/10
Let m(s) = 7039*s + 175995. Let c be m(-25). Find p, given that -85/4*p - 95/2 + c*p**3 - 25*p**4 + 145/2*p**2 + 5/4*p**5 = 0.
-1, 1, 2, 19
Suppose 0 = -3*t - 2*l + 21, 6 - 8 = 2*t - 4*l. Let d be ((-17)/(-40) + t/25)*8. Find y, given that 0*y**2 + 0*y + 2/21*y**d + 0 - 2/21*y**3 + 0*y**4 = 0.
-1, 0, 1
Suppose -30*p + 169 - 19 = 0. Find d, given that 48*d**2 - 65*d**5 - 10*d**4 + 3*d**4 + 67*d**p - 40*d**3 + 11*d**4 = 0.
-6, 0, 2
Let u(q) = 32*q**3 + 442*q**2 - 98*q - 3878. Let j(z) = 10*z**3 + 147*z**2 - 33*z - 1293. Let a(m) = -10*j(m) + 3*u(m). Find o such that a(o) = 0.
-36, -3, 3
Let -31/6*q**4 - 1/3*q**5 + 0 + 8*q - 79/6*q**3 + 32/3*q**2 = 0. Calculate q.
-12, -4, -1/2, 0, 1
Let c(t) be the second derivative of 0*t**2 - 2/3*t**6 - 3/2*t**5 - 5/42*t**7 - 176*t - 5/3*t**4 - 5/6*t**3 + 0. Factor c(l).
-5*l*(l + 1)**4
Let w(x) be the second derivative of -x**7/14 - 22*x**6/5 - 783*x**5/10 - 189*x**4 + 1323*x**3/2 + 4002*x + 2. Let w(i) = 0. Calculate i.
-21, -3, 0, 1
Let u(m) = 17*m**3 + 59*m**2 - 27. Let h(n) = 2*n**3 - n**2 - 3. Let j(a) = -36*h(a) + 4*u(a). Solve j(d) = 0 for d.
0, 68
Let l be 800 - (-4)/10*5. Let v = l + -6405/8. Factor -v*h - 1/8*h**3 + 3/4 + 3/4*h**2.
-(h - 3)*(h - 2)*(h - 1)/8
Find n such that -1344/5*n - 112896/5 - 4/5*n**2 = 0.
-168
Let y(w) be the second derivative of w**7/189 - 904*w**6/135 + 34201*w**5/15 - 203852*w**4/27 + 203401*w**3/27 - 1798*w + 2. Factor y(x).
2*x*(x - 451)**2*(x - 1)**2/9
Let m(g) = -g**3 + 1020*g**2 + 4094*g - 8. Let u be m(-4). Factor 0*h + 9/2*h**3 + 0 + 3/4*h**4 + u*h**2.
3*h**3*(h + 6)/4
Let u(a) be the first derivative of -a**5/20 + 3*a**4/8 - a**3/12 - 3*a**2 - 4*a - 355. Factor u(o).
-(o - 4)**2*(o + 1)**2/4
Let w(c) be the third derivative of c**8/224 + 17*c**7/70 + 91*c**6/80 - 37*c**5/20 - 95*c**4/4 - 62*c**3 - 6050*c**2. Let w(m) = 0. Calculate m.
-31, -2, -1, 2
Let f(y) be the first derivative of 0*y + 1/42*y**6 - 1/35*y**5 + 8 - 3/14*y**4 + 4/7*y**2 + 4/21*y**3. Suppose f(h) = 0. Calculate h.
-2, -1, 0, 2
Let g = -199/4 + 50. Let k = -47941 + 47943. Suppose g*f + 0 - 1/2*f**k = 0. What is f?
0, 1/2
Let t = -399 + 408. Factor 0 - t*z - 12 - 56*z**2 - 4 + z + 55*z**2.
-(z + 4)**2
Let m(f) be the first derivative of f**8/560 - f**7/35 + 7*f**6/120 + 43*f**3 + 25. Let d(z) be the third derivative of m(z). Suppose d(q) = 0. What is q?
0, 1, 7
Let j(k) be the second derivative of 1/45*k**6 + 0 + 0*k**2 + 1/6*k**5 - 1/18*k**4 - 5/9*k**3 + 4*k. Find q such that j(q) = 0.
-5, -1, 0, 1
Suppose -1 = p - 3. Factor 137 + n**p + 5*n - 81 - 52.
(n + 1)*(n + 4)
Let -1/4*z**4 - 3176523/4 + 221/2*z**3 - 16317*z**2 + 1620675/2*z = 0. Calculate z.
1, 147
Determine x, given that 839*x - 5*x**2 + 756*x + 2*x**2 + x**2 - 163*x = 0.
0, 716
Let z(q) = -q**3 - 9*q**2 - 15*q - 13. Let f be z(-6). Let t = -28 - f. Let -4/11*i**t - 2/11*i**2 + 0 + 2/11*i**4 + 4/11*i = 0. What is i?
-1, 0, 1, 2
Let s = -164 - -196. Let 38 + 16*k - s - 7*k - 3*k**3 = 0. What is k?
-1, 2
Let k be (-9 + ((-17)/(-2) - (-43)/86))/(-7). Factor 1/8*r**2 + 19/8*r + k.
r*(r + 19)/8
Let t = 594231/4 + -148556. Find u such that -t*u**2 - 13/4*u**4 + 0 - u**5 - 1/4*u - 15/4*u**3 = 0.
-1, -1/4, 0
Let i(m) be the second derivative of 81/4*m**2 - 15/8*m**3 + 0 - 58*m - 1/16*m**4. What is w in i(w) = 0?
-18, 3
Let u(f) be the third derivative of 4/3*f**5 + 0 + 0*f - 23/12*f**4 - 7/60*f**6 + 9*f**2 - 10/3*f**3. Factor u(w).
-2*(w - 5)*(w - 1)*(7*w + 2)
Let k(r) = 12*r + 28. Let s(c) = c**3 + 5*c**2 + 3*c. Let i be s(-4). Let y(z) = -z**2 + 10*z + 29. Let t(m) = i*y(m) - 5*k(m). Find g such that t(g) = 0.
-3, -2
Determine s, given that -25*s**4 + 786*s**3 - 34*s**3 + 16*s**4 - 7163*s**2 - 7056*s - 8377*s**2 