, -2, -1, 1
Suppose -2*t + 6*t = 8. Suppose -2*p - 44 = -48. Find f, given that 0*f**p - 12*f**3 + t*f**2 - 2*f - 2*f + 4*f**4 + 10*f**2 = 0.
0, 1
Let l = -848335/3 - -282795. Let d(w) = -w**3 + 3*w**2 + 6*w - 2. Let j be d(4). Determine n so that -l - 10*n + j*n**2 - 2/3*n**3 = 0.
-1, 5
Let i(o) = 7*o**2 + 456*o + 10578. Let h(p) = 155*p**2 + 10030*p + 232715. Let r(v) = 16*v - 3. Let y be r(3). Let a(t) = y*i(t) - 2*h(t). Factor a(n).
5*(n + 46)**2
Solve 23/6*p**2 + 85/6*p - 3179/6 - 1/6*p**3 = 0.
-11, 17
Let s be ((-25)/10)/(-2 + 6/4). Let v(n) = -2*n**2 + 80*n + 718. Let z(r) = -3*r**2 + 81*r + 717. Let w(c) = s*v(c) - 4*z(c). Factor w(m).
2*(m + 19)**2
Let p be (-5)/(-35)*2 + (25210/(-2240) - -11). Let i(f) be the third derivative of 0 + 13*f**2 - p*f**4 + 0*f**3 + 0*f + 1/60*f**5 - 1/480*f**6. Factor i(r).
-r*(r - 3)*(r - 1)/4
Determine r, given that 352/19*r**2 + 0*r - 28/19*r**3 - 2/19*r**4 + 0 = 0.
-22, 0, 8
Let i(o) = 3*o**3 - 23*o**2 + 16*o - 24. Let h be i(7). Let u be 2 - 2 - (-5 - (7 + h)). Factor 0 + 4/15*y**3 - 2/15*y**u - 2/15*y**4 + 0*y.
-2*y**2*(y - 1)**2/15
Let x(t) be the first derivative of -4*t**5/5 + 10*t**4 - 28*t**3/3 - 36*t**2 + 235. Factor x(b).
-4*b*(b - 9)*(b - 2)*(b + 1)
Let x(f) = -8*f**2 - 2 - 2*f**3 + 0*f**3 + 720*f - 711*f. Let v be x(-5). Factor -1/3*y**2 + 1/6*y**v + 0*y + 0.
y**2*(y - 2)/6
Let y be -288 + 277 + 226/18. Suppose y*a - 8/3 - 2/9*a**2 = 0. What is a?
3, 4
Suppose 5*h - 2*b - 420 = -2, -3*h - 4*b = -256. Let j be (1/(14/(-8)))/((-8)/h). Let x**3 - 8*x**2 - 5*x + x**2 + j*x + 5*x**2 = 0. What is x?
0, 1
Let j(w) = -21*w - 286. Let c be j(-14). Let z(y) = y**2 + 7*y - 118. Let b be z(c). Suppose -3/2*a**3 + 0*a + a**b + 0*a**4 + 0 + 1/2*a**5 = 0. Calculate a.
-2, 0, 1
Suppose -16 = r - 14*r - 16. Let s(t) be the third derivative of -1/60*t**5 + 0*t + 1/144*t**4 + 0 + r*t**3 + 1/144*t**6 + 3*t**2. Factor s(q).
q*(q - 1)*(5*q - 1)/6
Let i = 367489/198 - 1856. Let z = 1205/3366 - i. Let -z*q - 6/17*q**2 - 2/17*q**3 - 2/17 = 0. What is q?
-1
Let h(z) be the second derivative of 1 + 162*z**2 + 3*z**4 + 72/5*z**5 + 32/15*z**6 - 108*z**3 + 7*z. Factor h(g).
4*(g + 3)**2*(4*g - 3)**2
Let b = -8001 + 8001. Let z(c) be the second derivative of 1/2*c**3 + b + 0*c**2 + 29*c - 3/4*c**4. Factor z(i).
-3*i*(3*i - 1)
Let o(w) be the third derivative of 5/18*w**4 - 5/1008*w**8 - 5*w**2 - 2/9*w**5 + 0*w**3 + 7 + 1/63*w**7 + 0*w + 1/24*w**6. Let o(k) = 0. What is k?
-2, 0, 1, 2
Solve -267/2*z + 0 - 2405/4*z**2 + 732*z**3 + 11/4*z**4 = 0 for z.
-267, -2/11, 0, 1
Suppose -528 - 1/5*o**2 - 2641/5*o = 0. What is o?
-2640, -1
Let g(z) = -115*z**2 + 354*z + 103. Let k(t) = -116*t**2 + 348*t + 104. Let o(s) = -4*g(s) + 3*k(s). Factor o(j).
4*(4*j + 1)*(7*j - 25)
Let s(w) be the third derivative of w**7/1260 + w**6/18 + 49*w**5/60 + 55*w**4/18 - 775*w**3/36 + w**2 + 5*w + 232. Find i such that s(i) = 0.
-31, -5, 1
Let d(y) be the second derivative of -5*y**7/42 - 2*y**6/3 - 5*y**5/4 - 5*y**4/6 - 395*y + 2. Solve d(k) = 0.
-2, -1, 0
Let s be (5/((-50)/(-2372)))/((-48)/80). Let h = -393 - s. Factor -1/3*f**5 - 2/3*f + 5/3*f**4 + h*f**2 + 0 - 3*f**3.
-f*(f - 2)*(f - 1)**3/3
Suppose 0 = 3*x - 30, 28*s - 23*s - 5 = x. Solve 0 + 0*b**2 + 0*b + 5/2*b**4 + 3*b**s = 0 for b.
-6/5, 0
Let r(i) be the third derivative of 0*i**5 + 0 - 1/200*i**6 + 1/5*i**3 - 114*i**2 + 0*i + 3/40*i**4. Suppose r(d) = 0. What is d?
-1, 2
Let w be ((-4641)/(-1092) + (-1)/4)/((-10)/(-69)). Suppose -w + 3/5*b**2 + 63/5*b = 0. Calculate b.
-23, 2
Let t be (0 + -27)*(-66)/396*(-12)/(-18). Solve -805*p**2 - 2645/3*p**t - 5/3 + 75*p = 0 for p.
-1, 1/23
Solve 9216 - 17280*n + 2/3*n**5 + 3170/3*n**3 + 140/3*n**4 + 6960*n**2 = 0.
-24, 1
Let 124*m**4 + 5*m**5 + 260*m**4 + 880 + 182*m**4 + 3090*m - 101*m**4 + 2245*m**3 + 3995*m**2 = 0. What is m?
-88, -2, -1
Let n(d) = 98 + 16 - 22 - 92*d + 17 - 17. Let y be n(1). Let -46/5*f**2 + 4/5*f + y = 0. Calculate f.
0, 2/23
Suppose -5*v + 3*x = -25, 964*v - 961*v + 5*x = -19. Factor 3/5*m**3 - 144/5 - 24/5*m + 3*m**v.
3*(m - 3)*(m + 4)**2/5
Let 4/3*p**3 - 37/6*p**2 + 0 - 22/3*p + 1/6*p**4 = 0. What is p?
-11, -1, 0, 4
Let o(x) = 2*x**3 + 7*x**2 - 4*x - 22. Let a be o(-3). Let h be -3*(a + -2 - -2). Factor 0 - 20/9*b**h - 4/9*b - 8/3*b**2.
-4*b*(b + 1)*(5*b + 1)/9
Let q = 1304 - 548. Let f = 3781/5 - q. Factor -2/5*a**3 + f*a**5 + 0*a**2 - 1/5*a**4 + 0*a + 0.
a**3*(a - 2)*(a + 1)/5
Factor -37*u - 47*u**2 - 622 + 490 - 33*u + 45*u**2.
-2*(u + 2)*(u + 33)
Factor 0 - 278/7*o**2 - 6/7*o**3 - 780/7*o.
-2*o*(o + 3)*(3*o + 130)/7
Let w(h) be the first derivative of h**6/2 + 201*h**5/5 - 51*h**4 - 72. Factor w(j).
3*j**3*(j - 1)*(j + 68)
Let q(g) be the second derivative of -g**5/60 - 2*g**4/3 - 7486*g. Factor q(o).
-o**2*(o + 24)/3
Let q(d) be the first derivative of 2*d**3/3 + 36*d**2 + 136*d + 483. Solve q(u) = 0.
-34, -2
Let h(x) be the second derivative of x**5/60 - 19*x**4/36 - 7*x**3/3 + 3051*x. Factor h(b).
b*(b - 21)*(b + 2)/3
Let t(u) be the second derivative of -u**6/630 + 11*u**5/105 - u**4/2 + u**3/3 + 19*u**2/2 + 27*u. Let j(i) be the second derivative of t(i). Factor j(m).
-4*(m - 21)*(m - 1)/7
Factor -2/13*z**2 + 20 - 258/13*z.
-2*(z - 1)*(z + 130)/13
Let q be (-22)/(-8) - 21025/16820. Let -9/2*g**4 + q + 3*g**3 - 9/2*g + 3/2*g**5 + 3*g**2 = 0. What is g?
-1, 1
Suppose -15 = 2*w + 3*w, -4*w - 9 = -3*z. Let o be 1/(5/(151 + z)). Find y such that -o*y - 12 - 19 - 44 + 0*y**2 - 3*y**2 = 0.
-5
Factor 6080 - 6068 - 24*l - 3*l**4 + 2*l**3 + 4*l**3 + 9*l**2.
-3*(l - 2)*(l - 1)**2*(l + 2)
Suppose 5*p - 2522 = 2*w, -4*p - 8*w + 2011 = -3*w. Factor -4*s**3 - 2 + p*s**5 + 498*s**5 + 2*s**2 + 3*s - 1001*s**5.
(s - 1)**3*(s + 1)*(s + 2)
Factor 296/3 - 1484/3*v + 1870/3*v**2 - 25/3*v**3.
-(v - 74)*(5*v - 2)**2/3
Suppose -3*g - 10 + 28 = 0. Suppose 2*r - 2*m = g, 0*r + 4*m = -2*r. Factor -3*p**3 + p**r - 2*p**2 + p**2.
-3*p**3
Let o = -7 + 7. Let z be -1*((-28)/(-28) - (-3)/12*-4). Find q such that z*q**3 - 1/8*q**4 + 1/4*q + 3/8*q**2 + o = 0.
-1, 0, 2
Let v = 1360554/212585 + -2/42517. Factor -112/5*q + 48/5 + 4/5*q**4 - v*q**3 + 92/5*q**2.
4*(q - 3)*(q - 2)**2*(q - 1)/5
Let l(d) = -7*d**2 - 63*d - 86. Let x(z) = -8*z**2 - 116*z - 84. Let m(o) = -4*l(o) + 3*x(o). Suppose m(b) = 0. What is b?
1, 23
Suppose -5*z - 4*o - 1114 = -10074, 4*o = -3*z + 5368. Let g = z - 1794. Determine b so that 0*b - 27/8 + 3/8*b**g = 0.
-3, 3
Let g(a) be the third derivative of 7*a**6/900 + a**5/100 - a**4/15 - 15*a**3 + 137*a**2. Let t(f) be the first derivative of g(f). Factor t(x).
2*(x + 1)*(7*x - 4)/5
Let k(x) be the third derivative of 3/11*x**3 + 0*x + 43/264*x**4 + 1/30*x**5 + 3 - 33*x**2 - 1/440*x**6. Let k(p) = 0. Calculate p.
-1, -2/3, 9
Let v = -2447 + 2455. Suppose 4*m + 3*p = -1, m - 4*p = 3*m + v. Find x such that -15/2*x + 1/4*x**m + 225/4 = 0.
15
Let m(x) be the first derivative of 5*x**4/4 + 355*x**3/3 + 3060*x**2 - 6480*x + 4079. Factor m(y).
5*(y - 1)*(y + 36)**2
Let 9/4*f**2 - 1/4*f**3 + 5/2*f + 0 = 0. What is f?
-1, 0, 10
Determine x so that 11 - 40 - 60*x + 43 - 3*x**3 - 14 + 36*x**2 = 0.
0, 2, 10
Let d(q) be the third derivative of -q**7/70 - q**6/4 - 6*q**5/5 + 5*q**4/4 + 25*q**3/2 + 2072*q**2. What is x in d(x) = 0?
-5, -1, 1
Suppose -124 = -4*b - 112. Suppose -3*s = w - 13, -5*s + 3*w - w = -7. Factor 12/5*x**2 + 3/5*x**b + s*x + 6/5.
3*(x + 1)**2*(x + 2)/5
Factor 2 - 2*q**2 + 1/3*q - 1/3*q**3.
-(q - 1)*(q + 1)*(q + 6)/3
Let g(a) be the second derivative of a**6/105 - 23*a**5/70 + 19*a**4/7 - 212*a**3/21 + 136*a**2/7 - 2420*a. What is k in g(k) = 0?
2, 17
Let o(u) be the second derivative of -u**6/20 - 243*u**5/40 - 453*u**4/8 - 215*u**3/4 + 1125*u**2/2 + 2546*u. Find t, given that o(t) = 0.
-75, -5, -2, 1
Let f be (-45)/(-4) - 1639/11771*79. Find r, given that 2 - f*r**2 + 7/4*r = 0.
-1, 8
Let z = -402731 + 1610925/4. Find i such that -169/4*i + 0 - z*i**3 + 13/2*i**2 = 0.
0, 13
Suppose 7*t + 16*g - 12*g = -58, 0 = -2*t - g - 14. Factor 16/9 - 4/9*q - 2/9*q**t.
-2*(q - 2)*(q + 4)/9
Let s(y) be the third derivative of 1/60*y**5 + 0 + 1/540*y**6 + 14/3*y**3 + 0*y + 24*y**2 + 0*y**4. Let c(t) be the first derivative of s(t). Factor c(p).
2*p*(p + 3)/3
Let u(w) be the first derivative of w**6/720 - w**5/40 + 3*w**4/16 + 2*