 that i(u) = 0.
-1, 1, 2
Suppose 16 = 4*s - d, -2*s - 17 + 15 = 2*d. Determine i, given that -18/5*i + 5*i**4 - 16*i**s + 69/5*i**2 + 0 = 0.
0, 3/5, 2
Let r be 3819/(-114)*(0 + 2). Let g be (69 + r)*(-1)/(-6). Find a such that 0 - g*a**2 - 2/3*a = 0.
-2, 0
Let g be ((-2)/(-2))/((-1)/(-2)). Suppose 0 = 5*h - 3*y - 82, 2*y - 23 + 17 = -h. Factor -7*m + 109 - 5*m**2 - 115 - h*m + 17*m**g.
3*(m - 2)*(4*m + 1)
Let t = -5090 - -5090. Let p(y) be the second derivative of -1/72*y**4 - 1/6*y**2 + t - 1/12*y**3 + 19*y. Factor p(f).
-(f + 1)*(f + 2)/6
Factor -788/17 + 390/17*s + 2/17*s**2.
2*(s - 2)*(s + 197)/17
Factor -45/8*i + 3/8*i**2 - 81/4.
3*(i - 18)*(i + 3)/8
Let k be 5 - 0/(7 + -3 - 1). Determine c so that -183*c**k - 166*c**2 + 45*c**3 + c**5 + 169*c**3 + 8 - 32*c + 10*c**4 + 148*c**4 = 0.
-1, -2/7, 2/13, 1
Determine o, given that -2/5*o**2 - 276/5*o - 274/5 = 0.
-137, -1
Let k be ((-48)/120)/(2/(-10)). Let v(w) be the third derivative of 1/120*w**6 + 2/3*w**4 + 0 + 0*w - k*w**2 + 0*w**3 + 2/15*w**5. Suppose v(t) = 0. What is t?
-4, 0
Let n(y) be the first derivative of 60 + 90*y**2 + 5/4*y**4 - 20*y**3 + 0*y. Factor n(t).
5*t*(t - 6)**2
Let f(u) be the third derivative of -u**5/30 - u**4/2 - u**3 + 2*u**2. Let v be f(-5). Factor -2*r**4 - 5 + r**v - 4*r**4 + 10*r**2.
-5*(r - 1)**2*(r + 1)**2
Let b(d) be the first derivative of d**5/300 + d**4/60 - d**3/2 + 12*d**2 - 4*d - 99. Let z(g) be the second derivative of b(g). What is f in z(f) = 0?
-5, 3
Let 35/9*j**2 - 736/9*j + 1/9*j**3 + 700/9 = 0. What is j?
-50, 1, 14
Suppose -2*w + 3 - 5 = 0. Let o be w - 6*4/(-8). Factor -6*i**o + 15*i**3 - 3*i - 13*i**3 - 5*i**3.
-3*i*(i + 1)**2
Let k(s) be the third derivative of s**6/360 - 11*s**5/180 - 7*s**4/9 - 10*s**3/3 - 5*s**2 - 309*s - 1. Solve k(i) = 0 for i.
-2, 15
Suppose 11*a = 100 - 243, 0 = -5*z + 2*a + 26. Factor z - 9/5*r - 3/5*r**2.
-3*r*(r + 3)/5
Let h(x) be the first derivative of -4/15*x**3 - 1/10*x**4 + 3/5*x**2 + 0*x + 317. Factor h(s).
-2*s*(s - 1)*(s + 3)/5
Let w(q) be the second derivative of -q**7/28 - 33*q**6/10 - 294*q**5/5 + 5217*q**4/4 - 9583*q**3/4 - 2*q - 783. Solve w(i) = 0.
-37, 0, 1, 7
Let q = -6585/86 - -3486/43. Factor 7/4*m**2 - 1/4*m**4 - q + 3/4*m**3 - 15/4*m.
-(m - 3)**2*(m + 1)*(m + 2)/4
Let z(d) be the first derivative of -2/5*d - 77 + 1/10*d**4 + 3/5*d**2 - 2/5*d**3. Find g such that z(g) = 0.
1
Let o(f) be the first derivative of -f**4/2 + 10*f**3/3 + 12*f**2 - 72*f + 916. Solve o(t) = 0.
-3, 2, 6
Let m(f) = f**2 - 331*f + 27392. Let w be m(166). Factor 2/7*l**4 + 0 - 8/7*l + 6/7*l**3 + 0*l**w.
2*l*(l - 1)*(l + 2)**2/7
Let l(v) = 6*v**3 - 5*v**2 + 4*v - 2. Let a be l(2). Factor -2*g**2 + 2*g**2 + 20 + 16*g**2 - a*g - 2*g**3.
-2*(g - 5)*(g - 2)*(g - 1)
Let l(k) be the first derivative of -k**3/6 + 717*k**2 - 1028178*k + 5426. Find w such that l(w) = 0.
1434
Let d = -2642 + 2642. Let u(i) be the third derivative of -2*i**2 + 0*i**3 + 1/480*i**6 + 0 + d*i - 1/96*i**4 + 0*i**5. Factor u(z).
z*(z - 1)*(z + 1)/4
Suppose -5*c + 3*y = -29, -3*y = -2*y + 3. Let o be (c/2)/((-7)/(-14)). Factor -4/17*t**2 + 0*t + 0*t**o + 2/17*t**5 + 0 - 6/17*t**3.
2*t**2*(t - 2)*(t + 1)**2/17
Let y be 1*(-3 + 5) + (14 - (-17 + 33)). Factor 1/3*b**3 + y*b + b**2 - 4/3.
(b - 1)*(b + 2)**2/3
Determine t so that -1148*t**2 - 497*t + 2287*t**2 - 1138*t**2 - 488*t = 0.
0, 985
Let x be 4515/860*(20/(-6))/(-5). Let x*k**2 - 14 + 48*k = 0. What is k?
-14, 2/7
Suppose 242 - 2 = 16*s. Determine y, given that -25*y - s + 15*y**2 - 6 + 6 + 5*y**3 - 20*y**2 = 0.
-1, 3
Let q(s) be the first derivative of -s**5 + 45*s**4/2 - 305*s**3/3 - 1080*s**2 + 11200*s - 10921. Factor q(m).
-5*(m - 8)**2*(m - 7)*(m + 5)
Suppose 0 = 8*w - 4*w. Suppose w = 5*r - i - 42, 0 = r + 7*i - 2*i + 2. Let 144*u + 3*u**3 + 19*u**2 + r*u**2 + 0*u**2 + 192 + 9*u**2 = 0. Calculate u.
-4
Let g be (2/(-10))/(35/(-350)). What is f in -f**5 + 2*f**4 - 2*f**g + 22*f - 12*f - 9*f = 0?
-1, 0, 1
Factor 1/3*y**3 + 283/3*y + 143/3*y**2 + 47.
(y + 1)**2*(y + 141)/3
Let l = 62 - 59. Let d(i) be the first derivative of -i - 14 - 6*i**2 - i**3 + 2*i**l - 14*i. Factor d(g).
3*(g - 5)*(g + 1)
Suppose -5*k**2 - 945 + 9*k - 2*k**2 - 387*k + 2*k**2 + 48*k = 0. Calculate k.
-63, -3
Factor -24/5 + 2/3*u**2 - 8/5*u + 2/15*u**3.
2*(u - 3)*(u + 2)*(u + 6)/15
Let k be ((-29)/(-87))/(4/192). Suppose 0 = 4*m + 2*w - 14, 5*m + 20*w = k*w + 19. Solve 2/9*d**m + 2/9 + 2/3*d**2 + 2/3*d = 0.
-1
Let i = -206 + 200. Let u(t) = 5*t**2 - 40*t + 75. Let q(m) = 5*m**2 - 40*m + 74. Let o(a) = i*u(a) + 5*q(a). Factor o(y).
-5*(y - 4)**2
Let r = -398938/3 - -1994702/15. Factor -r*l**2 + 8/5*l + 0 - 4/5*l**3.
-4*l*(l - 1)*(l + 2)/5
Suppose -53*q = 759 - 918. What is k in -3/2*k**2 + 0 + q*k = 0?
0, 2
Let f(j) be the third derivative of -24/7*j**3 + 0 - 19/56*j**4 - 39*j**2 - 1/140*j**5 + 0*j. Find y such that f(y) = 0.
-16, -3
Let g(b) be the first derivative of -b**4/24 + 35*b**3/18 - 25*b**2/2 - 3924. Let g(n) = 0. What is n?
0, 5, 30
Solve -5570*b + 126*b**2 - 5*b**3 + 5213*b + 2*b**3 + 234 = 0 for b.
1, 2, 39
Factor 848*k + 1/2*k**2 + 0.
k*(k + 1696)/2
Suppose t - 4*w - 16 = 0, 0 = 3*w - 5*w + 4. Suppose t*f = -3*f + 54. Let 1/5*d**4 - 1/5*d**f + 0*d - 1/10*d**3 + 1/10*d**5 + 0 = 0. Calculate d.
-2, -1, 0, 1
Let n be 1*6*(-1)/(-3). Suppose -4*i = 0, -n*w + 32 = i - 6*i. Solve -2*r**4 + 0*r**4 + w*r**3 + r**4 - 16*r**2 - 3*r**4 = 0.
0, 2
Let g(b) be the third derivative of -102*b + 49/240*b**5 + b**2 - 625/24*b**3 - 575/96*b**4 - 1/480*b**6 + 0. Suppose g(j) = 0. Calculate j.
-1, 25
Suppose 4*v - 5*b = -3*b + 1340, -670 = -2*v - 2*b. Find o such that -334*o**2 - 5 + 3*o + v*o**2 - 5 = 0.
-5, 2
Let r = -73448 - -73450. Determine q, given that 0 + 15/4*q**3 + 3/4*q**5 - 9/2*q - 21/4*q**r + 21/4*q**4 = 0.
-6, -1, 0, 1
Factor -160/11*l + 26/11*l**2 - 408/11 + 2/11*l**3.
2*(l - 6)*(l + 2)*(l + 17)/11
Let s(j) be the second derivative of -j**4/4 - 230*j**3/3 + 154*j**2 - 67*j + 6. Determine i so that s(i) = 0.
-154, 2/3
Let g(o) be the first derivative of -3*o**5/10 - 45*o**4/8 - 39*o**3 - 120*o**2 - 144*o - 632. Find r such that g(r) = 0.
-6, -4, -1
Let c(s) = -s**3 - 3*s**2 - s - 2. Let i(u) = 3*u**3 + 6665*u**2 + 2775551*u - 2782226. Let x(d) = -c(d) + i(d). Suppose x(h) = 0. What is h?
-834, 1
Suppose 0 = 5*z + 2*s - 10, 7*s + 15 = 34*z - 39*z. Determine g, given that -242/7 + 44/7*g**3 + 240/7*g**2 - 44/7*g + 2/7*g**z = 0.
-11, -1, 1
Suppose 0 = -44*n + 41*n + 60. Let -2*r**5 - 95*r**4 - 16*r + 3*r**5 + 3*r**5 - n*r**2 + 63*r**4 + 12*r**3 + 52*r**4 = 0. Calculate r.
-4, -1, 0, 1
Let i(d) be the first derivative of -1/9*d**3 - 1/3*d**4 - 14 + 1/15*d**5 + 2/3*d**2 + 0*d. Factor i(z).
z*(z - 4)*(z - 1)*(z + 1)/3
What is a in -200/7*a + 2/7*a**3 - 20/7*a**2 + 2000/7 = 0?
-10, 10
Let f(j) be the first derivative of -j**3/6 - 6*j**2 + 81*j/2 - 242. Find z, given that f(z) = 0.
-27, 3
Let l(r) be the second derivative of -1/12*r**3 - 4*r**2 - 1/60*r**5 - 5/96*r**4 - 1/480*r**6 + 0 - 19*r. Let n(c) be the first derivative of l(c). Factor n(j).
-(j + 1)**2*(j + 2)/4
Suppose 10*u**3 + 3482*u**2 - 10*u - 5*u**4 - 6951*u**2 + 3474*u**2 = 0. What is u?
-1, 0, 1, 2
Suppose 0 = 4*j + 12 - 4. Let p be 3*j/4*(-72)/54. Find o, given that -9*o**3 + 10*o - 10*o**3 + 9*o**3 - p*o + 2*o**5 = 0.
-2, -1, 0, 1, 2
Let h(m) be the second derivative of -4 - 3/2*m**2 + 1/2*m**3 - 4*m + 1/6*m**4 - 1/18*m**5 - 1/378*m**7 - 7/270*m**6. Factor h(l).
-(l - 1)**2*(l + 3)**3/9
Let s(l) be the second derivative of l**7/42 + l**6/15 - l**4/6 - l**3/6 + 531*l. Factor s(b).
b*(b - 1)*(b + 1)**3
Let d(j) be the first derivative of 50*j**2 - 168 + 1/12*j**4 - 10/3*j**3 - 1000/3*j. Factor d(n).
(n - 10)**3/3
Let k(g) = -14*g + 59. Let q be k(-3). Factor 196*o - 4*o**2 + 28 + 3*o**2 - 104*o - q*o - 6.
-(o - 2)*(o + 11)
Let z(n) be the third derivative of -n**8/2520 + n**6/135 - 131*n**3/6 - 152*n**2 + 2. Let k(x) be the first derivative of z(x). Factor k(b).
-2*b**2*(b - 2)*(b + 2)/3
Determine k, given that -416/3*k**2 + 0 + 0*k - 4/3*k**3 = 0.
-104, 0
Let y(o) be the third derivative of 7/132*o**4 - 1/330*o**5 + 0*o - 2/11*o**3 - 140*o**2 + 0. Factor y(q).
-2*(q - 6)*(q - 1)/11
Let i be ((-24)/21)/(-4) - 1317/(-21). Let k be -9*(2 - (-60)/i - 3). Find g such th