-5*d - o, -d = -1 - 3. Suppose -3841 - 6*g**2 + 3841 - 15*g**4 - t*g**3 = 0. What is g?
-2, -1/5, 0
Let w(y) = -190*y**2 - 10585*y - 205335. Let p = -40 + 95. Let n(h) = 7*h**2 + 392*h + 7605. Let c(i) = p*n(i) + 2*w(i). Factor c(d).
5*(d + 39)**2
Let i(s) be the second derivative of -s**5/40 - s**4/4 + 5*s**3/4 - 2*s**2 - 400*s. Find o, given that i(o) = 0.
-8, 1
Factor 1/11*t**2 - 232/11*t + 0.
t*(t - 232)/11
Let l = 49 - 17. Suppose -4*d + l = 4*o, -3*o + 8 = 2*d + o. Solve 3*u**2 - 4 + d*u**4 - 10*u**3 - 4*u**5 + 2*u**3 - 11*u**2 + 12*u = 0.
-1, 1
Let w(f) be the second derivative of f**7/8820 - f**6/315 - f**5/21 - 67*f**4/3 - 2*f + 205. Let s(v) be the third derivative of w(v). Solve s(a) = 0.
-2, 10
Let c(f) = -4*f**3 + 3*f**2 - f - 1. Let t(k) = 17*k**3 + 329*k**2 - 681*k + 347. Let j(s) = 4*c(s) + t(s). Solve j(m) = 0 for m.
-343, 1
Let y = 431921/255 + -30378/17. Let o = y - -280/3. Find d, given that 18/5*d - o*d**2 - 81/5 = 0.
9
Let c(r) be the third derivative of -r**6/24 + 161*r**5/4 - 12100*r**4 - 146410*r**3/3 + 19*r**2 - 9. Factor c(i).
-5*(i - 242)**2*(i + 1)
Factor -132*h**3 + h**5 + 2 + 381*h**2 + 158*h**4 - 512*h**3 - 2 + 267*h**2.
h**2*(h - 2)**2*(h + 162)
Let t(n) be the third derivative of n**5/20 + 3*n**4 - 56*n**3 - 145*n**2. Factor t(v).
3*(v - 4)*(v + 28)
Determine w so that 348/7*w**3 + 0 + 4/7*w**5 + 72/7*w**4 + 40*w**2 + 0*w = 0.
-10, -7, -1, 0
Let d(k) be the second derivative of 26*k**3 - 5*k + 90*k**2 + 1/5*k**5 + 0 + 11/3*k**4. Factor d(h).
4*(h + 3)**2*(h + 5)
Let b(z) = 28*z + 23. Let l be b(-1). Let y(u) = u**3 + 4*u**2 - 19*u - 66. Let c be y(l). Determine h so that -7/2*h**c + 9/2*h + 1 - 9/2*h**3 + 5/2*h**2 = 0.
-1, -2/7, 1
Suppose -4*s - s - r + 7 = 0, -4*s + 2*r = -14. Let c = 350 - 343. Factor -c*o**s + 2 + 4*o**2 + 10*o + 8*o**2 + 3.
5*(o + 1)**2
Let o(m) be the second derivative of -m**4/78 + 449*m**3/39 - 5205*m. Find l such that o(l) = 0.
0, 449
Let w(i) = 15*i + 90. Let a be w(-14). Let s = -120 - a. Find t, given that 4/5*t**2 + 2/5*t**3 + s + 0*t - 2/5*t**4 = 0.
-1, 0, 2
Let b(i) be the third derivative of i**6/1080 + 13*i**5/180 - 3*i**4/8 - 21*i**3/2 - 29*i**2. Let h(z) be the first derivative of b(z). Factor h(n).
(n - 1)*(n + 27)/3
Let b(z) be the third derivative of -z**5/3 + 9*z**4 + 22*z**3/3 + 34*z**2 - 9. What is f in b(f) = 0?
-1/5, 11
Let r(g) be the first derivative of -4*g**5/5 + 139*g**4 - 548*g**3 + 818*g**2 - 544*g - 1240. Let r(t) = 0. What is t?
1, 136
Let f = -12 - -17. Let d = 67306 + -67306. Factor -2*r**3 + 0*r**4 + 2/3*r**f + d*r + 4/3*r**2 + 0.
2*r**2*(r - 1)**2*(r + 2)/3
Let r(b) = -18*b**2 - 10*b + 1. Let i(a) = 10*a**2 + 6*a. Let s(x) = 3*x**2 - 23*x + 26. Let w be s(6). Let j(y) = w*r(y) - 7*i(y). Factor j(c).
2*(c - 2)*(c + 1)
Let h be ((-105)/(-20) + -5)/((-409)/(-6544)). Suppose 0*z + 0 + 6/7*z**h - 4/7*z**2 + 10/7*z**3 = 0. What is z?
-2, 0, 1/3
Solve 0*b - 52/9*b**2 + 76/9*b**3 - 1/9*b**5 + 0 - 23/9*b**4 = 0 for b.
-26, 0, 1, 2
Suppose -20*h = 2710 - 17850. Let r = h - 1507/2. Solve 11/4*p**3 - 11/4*p + 1/2 + 3*p**2 - r*p**4 = 0 for p.
-1, 2/7, 1/2, 1
Let i be (-2)/(-2) + (-326)/(-163). Suppose -3*h - a + 1 = 0, -3*h + 2*h = 5*a + 23. Factor 10*z - i - h + 7*z**2 - 12*z**2.
-5*(z - 1)**2
Let i(x) be the third derivative of -x**2 + 0 - 15*x**4 - 9/2*x**3 - 179/10*x**5 - 7/10*x**7 + 7*x**6 - 94*x. Factor i(p).
-3*(p - 3)**2*(7*p + 1)**2
Suppose 3*g - 4*x = -2*x - 4, 5*x = -20. Let a be (8/(-9))/(-6 + (g - -9)). Factor -2/9*i**4 + 2/3*i**2 - 8/9*i + 4/9*i**3 - a.
-2*(i - 2)**2*(i + 1)**2/9
Let u(n) be the third derivative of -n**6/120 + 79*n**5/180 - 27*n**4/4 - 20*n**3 + 9*n**2 + 34*n. Factor u(g).
-(g - 15)*(g - 12)*(3*g + 2)/3
Let z be ((-12)/150 - 4*(-342)/225) + -6. What is g in -15/2*g + z - 3/4*g**2 = 0?
-10, 0
Let a be 78/351*(-2 - -5). Let u(l) be the second derivative of -1/5*l**5 - 4/3*l**4 + 0 + a*l**3 + 8*l**2 - 20*l. Suppose u(t) = 0. What is t?
-4, -1, 1
Let h(a) be the third derivative of -a**6/24 - 273*a**5/2 - 372645*a**4/2 - 135642780*a**3 + 2*a**2 + 261. Factor h(g).
-5*(g + 546)**3
Let z(r) be the second derivative of -6*r**6/5 - 22*r**5 + 121*r**4 - 368*r**3/3 - 120*r**2 - 792*r. Solve z(m) = 0.
-15, -2/9, 1, 2
Determine p, given that 264/13 + 356/13*p**3 + 2/13*p**5 - 168/13*p**2 - 96/13*p**4 - 358/13*p = 0.
-1, 1, 3, 44
Let n(l) = -32*l**2 - 2320*l - 12. Let t(d) = -25*d**2 - 2321*d - 9. Let i(a) = -3*n(a) + 4*t(a). Factor i(m).
-4*m*(m + 581)
Let a(n) be the second derivative of -9*n + 2/9*n**4 - 1/5*n**5 + 8/3*n**3 + 16/3*n**2 - 2/45*n**6 + 0. Determine z so that a(z) = 0.
-2, -1, 2
Let a be 1824/(-3952)*78/(-9). Let p(l) be the first derivative of 24 + 9*l + 0*l**a - 3/5*l**5 - 12*l**2 + 6*l**3. Factor p(n).
-3*(n - 1)**3*(n + 3)
Let d(k) = k**2 + k - 6. Let i be d(-4). Suppose -4*h = -i - 42. Factor -6 - 1793*x**3 + x - 6*x**2 + 1792*x**3 - h*x.
-(x + 1)*(x + 2)*(x + 3)
Let h(f) be the second derivative of f**8/336 - f**7/70 + f**6/40 - f**5/60 - 4*f**2 - f - 5. Let m(y) be the first derivative of h(y). What is b in m(b) = 0?
0, 1
Let k(p) be the third derivative of p**7/10080 - 17*p**6/1440 - 7*p**5/96 + 121*p**4/24 - 25*p**2. Let u(a) be the second derivative of k(a). Factor u(d).
(d - 35)*(d + 1)/4
Let q = -4343 - -4361. Let j(c) be the third derivative of -1/360*c**5 + 0*c**3 + 0 + 1/1260*c**7 + 1/720*c**6 + 0*c - 1/144*c**4 + q*c**2. Factor j(x).
x*(x - 1)*(x + 1)**2/6
Let d(s) be the second derivative of -s**5/5 - 8*s**4 + 278*s**3/3 - 348*s**2 + 3771*s. Find y, given that d(y) = 0.
-29, 2, 3
Let f(c) be the first derivative of 11/14*c**4 + 0*c**2 + 4/7*c**3 - 16 + 3/28*c**5 - 5*c. Let m(y) be the first derivative of f(y). Find x such that m(x) = 0.
-4, -2/5, 0
Suppose 8*f - 9*f - 28 = 5*o, 2*f + 5*o + 46 = 0. Let m be f/(-6) + 20/(-4) + 4. Factor 6/7*c + 4/7 + 2/7*c**m.
2*(c + 1)*(c + 2)/7
Let a = -319 - -326. Factor 20*m**4 + 15*m**4 + 42 + 20*m - 20*m**4 + a*m + 81*m**3 - 165*m**2.
3*(m - 1)**2*(m + 7)*(5*m + 2)
Let c(u) = u + 3. Let j(b) = -3*b**3 - 204*b**2 - 398*b - 6. Let h(i) = 2*c(i) + j(i). Factor h(v).
-3*v*(v + 2)*(v + 66)
Let k be (-210)/(-90) + 4/6. Let 10*x**2 + 8*x**k + 88*x - 5*x**4 - 3 - 2 - 5*x**5 + 2*x**3 - 93*x = 0. Calculate x.
-1, 1
Let c(b) = -b - 9. Let p be c(-8). Let t(f) = f**2 - 1. Let q(i) = 2*i**2 - 35*i + 3. Let g(x) = p*q(x) - 3*t(x). Factor g(l).
-5*l*(l - 7)
Let h(m) be the second derivative of 578*m**7/273 + 3553*m**6/195 + 2814*m**5/65 + 45*m**4/13 - 18*m**3 + 81*m**2/13 - 890*m. What is d in h(d) = 0?
-3, -1/2, 3/17
Let y = -72488/3 - -144985/6. Factor y*j**2 - 15/2*j - 9.
3*(j - 6)*(j + 1)/2
Let b(k) = -k**3 + 31*k**2 - 31*k + 40. Let p be b(30). Let h(c) be the first derivative of 9/16*c**4 - 1/2*c**2 + p + c**3 + 0*c - 7/20*c**5. Factor h(z).
-z*(z - 2)*(z + 1)*(7*z - 2)/4
Suppose -1001*x + 274*x = -8542250. Determine u so that 4/5*u**4 - x*u - 6250 + 1470*u**2 - 298/5*u**3 = 0.
-1/2, 25
Let f(u) be the first derivative of 2*u**3/9 + 136*u**2/3 + 90*u - 2106. Let f(w) = 0. What is w?
-135, -1
Let k(u) be the first derivative of 2*u**6/3 - 236*u**5/5 + 824*u**4 + 7520*u**3/3 - 31200*u**2 + 72000*u - 7496. Solve k(y) = 0 for y.
-5, 2, 30
Suppose 5*z + 213 = -r + 285, -r = 4*z - 54. Let -24*w + 0 + z*w**2 + 45/8*w**3 + 3/8*w**4 = 0. What is w?
-8, 0, 1
Let c(k) be the third derivative of -16/105*k**7 + 0*k**4 + 8*k**2 + 0*k**3 + 0*k**5 + 0 - 1/84*k**8 + 0*k + 3/10*k**6. Factor c(q).
-4*q**3*(q - 1)*(q + 9)
Let x(b) be the first derivative of -b**3 - 72*b**2 - 276*b - 139. Factor x(q).
-3*(q + 2)*(q + 46)
Let i(m) be the third derivative of m**5/135 - 1061*m**4/27 + 2251442*m**3/27 - 477*m**2 + m. Determine n, given that i(n) = 0.
1061
Let c(g) = 8*g**3 + 132*g**2 - 236*g + 132. Let x(o) = 29*o**3 + 529*o**2 - 950*o + 527. Let t(f) = -15*c(f) + 4*x(f). Determine y so that t(y) = 0.
1, 32
Suppose o**2 - 5*o**2 - 140*o + 1347 + 155*o - 107*o + 149 = 0. Calculate o.
-34, 11
Factor -100*d - 603*d**2 + 100*d**3 - 62*d + 25*d**3 + 68*d**3 - 10*d**3 + 12*d**4.
3*d*(d - 3)*(d + 18)*(4*d + 1)
Factor 39/4*x - 3/4*x**2 + 495.
-3*(x - 33)*(x + 20)/4
Let 3*s**3 + 453*s**2 - 640*s + 0*s**3 - 275*s + 459 = 0. What is s?
-153, 1
Let l(u) be the second derivative of 0*u**2 - 18 - 1/3*u**4 - 2*u**3 - 2*u + 