/30 - 3*g**2/2 + 55*g. Let s(v) be the first derivative of y(v). Factor s(l).
l**2*(l + 1)*(l + 8)/4
Let y(m) = -2*m - 16. Let u be y(-17). Suppose -24*f + 18 = -u*f. Determine k, given that -45*k + 2*k**4 - 7*k**4 + 9*k**f + 8*k**3 - 15*k**2 + 8*k**3 = 0.
-1, 0, 3
Let k(h) be the third derivative of h**7/4200 - h**6/720 - h**5/300 + 47*h**4/24 + 13*h**2 + 5*h. Let x(f) be the second derivative of k(f). Factor x(o).
(o - 2)*(3*o + 1)/5
Let l(f) be the first derivative of 5*f**2 - 8 + 26/21*f**3 - 14*f + 1/14*f**4. Solve l(r) = 0.
-7, 1
Let u(f) be the third derivative of -f**10/907200 + f**9/90720 + f**8/24192 - 3*f**5/5 - 145*f**2. Let k(o) be the third derivative of u(o). Factor k(i).
-i**2*(i - 5)*(i + 1)/6
Let s = -923/8885 + 540/1777. Suppose -64/5 - s*d**2 + 16/5*d = 0. Calculate d.
8
Let l be -40*84/308 - (-1 - 10). Let k be ((-8)/44)/(2/(-5)). Factor l*y + 3/11*y**4 - k*y**3 + 0 + 1/11*y**2.
y*(y - 1)**2*(3*y + 1)/11
Suppose 52 = 3*b - 35. Suppose b = s - 11. Determine x so that -670*x**2 - 25*x**2 + 428*x - 322*x**4 - s - 859*x**2 - 21*x**4 + 2009*x**3 = 0.
2/7, 5
What is a in 4*a**3 + 52387 + 7004*a + 488*a**2 - 15395 + 147*a**2 - 83*a**2 + 12580*a = 0?
-68, -2
Let u(s) be the second derivative of s**6/20 - 9*s**5/40 - 23*s**4/8 - 33*s**3/4 - 21*s**2/2 - 1261*s. Factor u(t).
3*(t - 7)*(t + 1)**2*(t + 2)/2
Let b(n) = 9*n**3 + 6*n**2 + 19*n. Let k(h) = 14*h**3 + 7*h**2 + 18*h. Let i(f) = 3*b(f) - 2*k(f). Find w, given that i(w) = 0.
-3, 0, 7
Let d(n) = -854*n - 4267. Let p be d(-5). Let o(b) be the second derivative of 3/10*b**p + 3/5*b**2 - 23*b + 1/20*b**4 + 0. Factor o(k).
3*(k + 1)*(k + 2)/5
Solve -1157*p**2 - 12480*p**3 - 410*p + 8749*p**2 + 38*p**4 - 178*p**4 - 2148*p**3 + 3770*p = 0 for p.
-105, -2/7, 0, 4/5
Let z(a) be the first derivative of 34/9*a**3 + a**2 - 6*a - 16/15*a**5 + 4/9*a**6 + 214 - 7/6*a**4. Determine p so that z(p) = 0.
-1, 1, 3/2
Let v be 2/((-2)/(228150/(-8275)) + 6/(-162)). Factor -1/3*o**2 - v + 26/3*o.
-(o - 13)**2/3
Let i = -583 + 1209. Determine h so that 779*h**2 - 168*h**4 + i*h**2 + 36*h**4 + 1311*h**3 + 1769*h**2 + 22*h**5 - 19*h**5 = 0.
-2, 0, 23
Let y = 1/11775 + 219008/82425. Let z = y + -81/70. Factor o**2 + 1/2*o**4 + 2*o**3 - z - 2*o.
(o - 1)*(o + 1)**2*(o + 3)/2
Let q(u) be the second derivative of -u**4/36 + 22*u**3/3 - 726*u**2 - 6*u + 17. Factor q(o).
-(o - 66)**2/3
Suppose 2*d + 3*q - 16 = 0, -5*d = 5*q - 54 + 9. Let n(p) be the first derivative of 8/5*p**5 - 16*p**3 - d*p**4 + 0*p - 4 + 2/3*p**6 + 72*p**2. Factor n(c).
4*c*(c - 2)**2*(c + 3)**2
Suppose w - 909 = s, -4*s + w - 5608 + 1963 = 0. Let t be ((-1)/(-4))/((-114)/s). Find l, given that 2/3*l**3 + 2/3*l**t - 2/3*l - 2/3*l**4 + 0 = 0.
-1, 0, 1
Let j = 58/105 - -26/15. Let o = 9908 + -9905. Find z such that -4/7*z**o + 0 - 16/7*z - j*z**2 = 0.
-2, 0
Let x(d) be the second derivative of -5/21*d**3 + 0 + 6/7*d**2 - 2/21*d**4 - 64*d. Factor x(b).
-2*(b + 2)*(4*b - 3)/7
Solve -1/5*l**4 - 182/5*l + 61/5 + 36*l**2 - 58/5*l**3 = 0.
-61, 1
Suppose -25 = 5*x, 2*j + 3*x - 84 = 1. Find s such that 82 + j*s**2 + 71*s + 5*s**3 - 35 + 14*s - 7 = 0.
-8, -1
Determine v, given that 913002*v + 69792*v + 0*v**4 - 1760268 - 449271*v**2 + 2310*v**3 - 3*v**4 + 786666*v = 0.
2, 383
Let w(c) be the first derivative of c**5/20 + 341*c**4/16 + 12995*c**3/4 + 1519511*c**2/8 + 1442897*c/2 + 874. Let w(f) = 0. Calculate f.
-113, -2
Let b be 7 + 1 + ((-126139)/650)/31. Let y = b - 11/150. Factor 5/3 - 5/6*g + 5/6*g**3 - y*g**2.
5*(g - 2)*(g - 1)*(g + 1)/6
Let f(s) = s**2 + 1057*s + 19726. Let j be f(-19). Find b such that -b + 3/2*b**3 + 1/2*b**2 + 0 - 1/2*b**5 - 1/2*b**j = 0.
-2, -1, 0, 1
Let f = -2455 + 2480. Let m(g) be the second derivative of -11/10*g**5 + 2/7*g**7 + 0*g**3 + 0 + g**4 + f*g - 1/15*g**6 + 0*g**2. Let m(v) = 0. Calculate v.
-3/2, 0, 2/3, 1
Suppose -2*w + 33 = -9. Suppose 5*c + 2*c - w = 0. Let 3*t**2 + 20*t**3 + 10*t**4 + 2*t**4 - 11*t**c - 3*t**4 + 3*t**5 = 0. Calculate t.
-1, 0
Let y = 50004 + -50000. What is z in -2/3*z**2 - 2/3*z**3 - 1/6*z**y + 0*z + 0 = 0?
-2, 0
What is g in 27/2*g + 25 + 1/2*g**2 = 0?
-25, -2
Let b(v) = 33*v**4 + 363*v**3 + 348*v**2 + 18*v + 36. Let k(w) = 2*w**4 - w**2 + w + 2. Let h(m) = b(m) - 18*k(m). Factor h(s).
-3*s**2*(s - 122)*(s + 1)
Let l(y) be the second derivative of 211*y - 117/8*y**2 + 1/16*y**4 + 0 + 5/4*y**3. Factor l(x).
3*(x - 3)*(x + 13)/4
Let v = 722 + -576. Suppose 74*n = v*n - 80*n. Determine f so that 1/2*f**3 - 1/2*f + n + 0*f**2 = 0.
-1, 0, 1
Let y(v) be the second derivative of 5*v**4/12 + 3625*v**3/3 + 2628125*v**2/2 - 11*v + 1. Factor y(h).
5*(h + 725)**2
Let o(h) = -66*h - 1114. Let c be o(-17). Let s(a) be the first derivative of c + 2/3*a**3 + 0*a**4 + 0*a + 0*a**2 - 2/5*a**5. Factor s(u).
-2*u**2*(u - 1)*(u + 1)
Let c(k) be the third derivative of 1/270*k**6 + 4/27*k**4 + 0 + 7/135*k**5 - 48*k**2 - 32/27*k**3 + 0*k. Factor c(r).
4*(r - 1)*(r + 4)**2/9
Let o be (41/(-205)*(-2)/((-24)/20))/(-1). Let v(f) be the third derivative of -1/180*f**5 - 1/72*f**4 + 0 + o*f**3 + 5*f**2 + 0*f. Solve v(a) = 0.
-3, 2
Let g(q) be the first derivative of -159 + 1/32*q**4 + 0*q + 1/3*q**3 + q**2. Solve g(d) = 0 for d.
-4, 0
Let x = -554 - -556. Solve -86*c**3 - 40*c**5 - 25*c**x + 42*c**5 - 24*c**4 - 35*c**2 = 0 for c.
-2, -1, 0, 15
Factor 118/7*c**2 + 2*c**3 - 144/7 + 180/7*c.
2*(c + 3)*(c + 6)*(7*c - 4)/7
Let z(k) = -k**3 - 38*k**2 + 5*k - 51. Let j be z(-38). Let v = -239 - j. Determine b so that 0*b - 5/3*b**4 - b**3 + 2/3*b**v + 0 = 0.
-1, 0, 2/5
Let h(y) be the third derivative of -123*y**2 + 1/300*y**6 + 0*y + 0 - 3/20*y**4 + 0*y**3 + 7/60*y**5. Find o such that h(o) = 0.
-18, 0, 1/2
Let i(f) = -4*f - 22. Let h(g) = 1. Let s(b) = -2*h(b) - i(b). Let w be s(-5). What is q in 0*q**3 - 37*q**5 + w*q**3 - 10*q**4 + 10*q**2 - 5*q + 42*q**5 = 0?
-1, 0, 1
Suppose -4*t + 3*t - 2 = 0, -4 = -s - 2*t. Factor -s*y + 17*y - y**3 - 10 + 15 + 3*y**2.
-(y - 5)*(y + 1)**2
What is g in 247*g**4 - 129*g**4 - 476*g - 119*g**4 - 156*g**3 + 387*g**2 + 87*g**2 + 159 = 0?
-159, 1
Let p(l) be the second derivative of -49/6*l**4 + 7*l - 121*l**2 + 154/3*l**3 + 2. Factor p(f).
-2*(7*f - 11)**2
Suppose 3*t + 2*g = -579 + 2125, 0 = -2*t - 5*g + 1016. Let x = t + -513. Factor 24/5*u + 12*u**2 + 21/5*u**4 + 0 + 3/5*u**x + 54/5*u**3.
3*u*(u + 1)*(u + 2)**3/5
Suppose 0 = -6*p - 10*p - 373 + 437. Let a(k) be the second derivative of 0 + 0*k**2 + 18*k - 1/6*k**p - 1/20*k**5 - 1/6*k**3. What is t in a(t) = 0?
-1, 0
Let h be ((-770)/18)/(-1) + (-190)/(-855). Suppose 5*g + 33 - h = 0. Let 2*s**3 + 11*s - 6*s**3 + 8*s**g - 24*s**2 - 7*s + 16 = 0. Calculate s.
-4, -1, 1
Suppose -292*z + 720*z = 1284. Factor 2*w**2 - 1/4*w**z + 5/2 - 17/4*w.
-(w - 5)*(w - 2)*(w - 1)/4
Let y = -98 - -104. Solve y - 13*b**2 + 15*b**2 - 35 - 10*b - 7 + 24*b = 0 for b.
-9, 2
Let l be 5/((-15)/2)*-3. Let b be (-1)/((-4)/136 - (2 - l)). Factor 44*n - b*n**2 - 16 + 79*n**3 - 6*n**2 - 67*n**3.
4*(n - 1)**2*(3*n - 4)
Suppose 0 = 5*s + t + 15, 3*s - s + 29 = -5*t. Let x be -1 + s + (4 - -5 - 3). Let -5*u**2 - 1 - 7*u**3 + 6*u**x + 1 = 0. What is u?
-5, 0
Let a be ((-128)/40)/(2/(-5)) - (-3144)/(-393). Find d, given that 4/19*d**3 + 30/19*d**2 - 30/19*d**4 - 4/19*d + a = 0.
-1, 0, 2/15, 1
Suppose 5*u - m = -335 + 354, -14 = -2*u + 2*m. Let k(h) be the third derivative of 7*h**2 - 1/12*h**4 + 0*h**5 - 2/9*h**u + 0*h + 0 + 1/180*h**6. Factor k(j).
2*(j - 2)*(j + 1)**2/3
Let p = 1623413/216454 - 4/108227. Factor 1/2*u**4 - p*u**2 - u**3 + 10 - 2*u.
(u - 5)*(u - 1)*(u + 2)**2/2
Let l = 52927 - 52923. What is x in 8/9*x**2 + 2/9*x**3 - 2/9*x**l - 8/9*x + 0 = 0?
-2, 0, 1, 2
Let x(w) be the second derivative of w**4/18 + 127*w**3/9 - 128*w**2/3 - w + 2026. Let x(n) = 0. Calculate n.
-128, 1
Let o(a) be the third derivative of 2*a**7/525 - 947*a**6/150 + 189*a**5/5 - 2833*a**4/30 + 1888*a**3/15 + a**2 - 3575*a. Factor o(f).
4*(f - 944)*(f - 1)**3/5
Let l(x) = -54*x**2 - 76*x + 197. Let o(z) = 17*z**2 + 25*z - 64. Let r(k) = -6*l(k) - 19*o(k). Factor r(m).
(m - 17)*(m - 2)
Let i(m) = 5*m - 8*m + 15 + 12*m**2 - 16. Let h be i(-1). Solve 3*u**2 - 8 + h*u - u + 29 + 11*u = 0 for u.
-7, -1
Let v be (-50)/24*-9*(-4)/(-3). Let g(c) be the third derivative of 1/120*c**6 + 0*c +