**3 + 35*j + 5*j**4 - 65*j**w - 25*j**3 + 41*j**3.
5*j*(j - 1)**2*(j + 7)
Let l(o) be the third derivative of -o**8/7560 + o**6/1620 - 50*o**3/3 + 63*o**2. Let s(d) be the first derivative of l(d). Let s(t) = 0. What is t?
-1, 0, 1
Let z = -11066/3 + 3689. Let s(t) be the second derivative of -z*t**4 + 0*t**2 - 8/3*t**3 - t + 0. Factor s(w).
-4*w*(w + 4)
Let u(p) be the second derivative of 0*p**3 + 1/42*p**4 - 13*p - 1/105*p**5 + 9/2*p**2 + 0. Let j(h) be the first derivative of u(h). Factor j(c).
-4*c*(c - 1)/7
Let n(u) = 11*u**4 - 49*u**3 - 112*u**2 - 5. Let p(v) = -20*v**4 + 97*v**3 + 220*v**2 + 9. Let f(q) = 9*n(q) + 5*p(q). Suppose f(m) = 0. Calculate m.
-2, 0, 46
Factor -482*d**3 - 11*d + 9*d**2 + 4 + 206*d**3 + 275*d**3 - d**4.
-(d - 1)**3*(d + 4)
Let l(p) be the second derivative of -3*p**5/40 - 3*p**4/8 + p**3 - p + 77. Factor l(o).
-3*o*(o - 1)*(o + 4)/2
Let s(i) be the third derivative of 1/120*i**5 + 0 - 336*i**2 + 0*i + 0*i**3 - 1/48*i**4. Factor s(o).
o*(o - 1)/2
Let k be ((1 - -11)/(-72))/(2/(-2)). Let s(i) be the second derivative of 0 - 1/20*i**5 - 5*i - k*i**3 + 0*i**2 + 1/6*i**4. Suppose s(g) = 0. What is g?
0, 1
Let o be (15/(-10))/(0 + 5/(-10)). Solve -3*z - 20*z - 7*z - 40 - 5*z**5 + 55*z**2 + 11*z**4 + 35*z**o - 26*z**4 = 0.
-4, -1, 1, 2
Find q, given that -344 + 42258*q - 2*q**3 + q**3 - 175*q**2 - 42776*q = 0.
-172, -2, -1
Suppose -2*a - 3034 = -3066, -5*l + 4*a - 54 = 0. Factor 2 - 1/6*u**l + 2/3*u.
-(u - 6)*(u + 2)/6
Let w = -281869 - -1409346/5. Determine m so that -w*m**2 + 18/5*m + 19/5 = 0.
-1, 19
Let w(r) be the first derivative of r**5/5 + 3*r**4/4 - 10*r**3/3 + 1371. Factor w(q).
q**2*(q - 2)*(q + 5)
Let j(t) be the second derivative of 2*t**6/15 + 49*t**5/5 + 767*t**4/3 + 7030*t**3/3 - 8664*t**2 + 2055*t. Factor j(s).
4*(s - 1)*(s + 12)*(s + 19)**2
Let t(w) be the third derivative of -23*w**6/160 - w**5/120 - 19*w**2 + 37. Factor t(n).
-n**2*(69*n + 2)/4
Let a(o) be the first derivative of o**3 + 45*o**2/2 - 2622*o - 5822. Let a(h) = 0. Calculate h.
-38, 23
Let g = 1822826/5 + -364558. Factor g + 3/5*l**3 - 24/5*l - 3/5*l**2.
3*(l - 2)**2*(l + 3)/5
What is d in -36*d**3 + 454*d**4 - 239*d**4 + 20*d**2 + 4*d**5 + 64*d - 219*d**4 - 48 = 0?
-2, 1, 3
Let c(s) be the first derivative of 56*s + 98 - 30*s**2 + 4/3*s**3. What is m in c(m) = 0?
1, 14
Let l(y) = 5*y**5 + 23*y**4 + 94*y**3 + 121*y**2 + 54*y - 3. Let v(f) = f**5 - f**4 + f**2 + 2*f - 1. Let n(o) = -l(o) + 3*v(o). Determine z so that n(z) = 0.
-8, -3, -1, 0
Let w = 122239 - 122234. Let 2/3 - 28/3*y**w - 83/3*y**4 + 7/3*y - 19/3*y**2 - 79/3*y**3 = 0. Calculate y.
-1, -1/4, 2/7
Let a(t) be the second derivative of -t**5/30 + 67*t**4/18 + 433*t**3/9 + 365*t**2/3 - t - 3963. Determine r so that a(r) = 0.
-5, -1, 73
Suppose -6*d + 4*d + 36 = 0. Factor -48*r + d*r**2 - 371 - 2*r**3 + 125 + 142 + 136.
-2*(r - 4)**2*(r - 1)
Let l(a) = -3*a + 35. Let y be l(9). Let q be 1*16/y - 0. Determine d so that 0 - 8/3*d - 2/3*d**q = 0.
-4, 0
Let a(n) = 29*n**2 + 204*n + 392. Let o(b) = 6*b**2 + 2*b. Let f(w) = -2*a(w) + 10*o(w). Solve f(g) = 0 for g.
-2, 196
Let p be ((-20)/(-90))/(24/576). Let w(f) be the second derivative of 7/5*f**5 - p*f**4 + 0 + 16*f + 8/3*f**3 + 0*f**2. Determine o, given that w(o) = 0.
0, 2/7, 2
Let l(z) = 4*z**2 + 5*z - 8. Let v(f) = f**3 - 5*f**2 + 6*f - 6. Let y be v(4). Let w be l(y). Factor -11*a**2 - 3*a**4 - 17*a**2 + w*a**3 + 4*a**2.
-3*a**2*(a - 4)*(a - 2)
Let y(u) be the second derivative of 0 - 3/100*u**5 + 0*u**2 + 3/10*u**4 + 0*u**3 + 46*u. Factor y(o).
-3*o**2*(o - 6)/5
Let r be (-2440)/220*(-1 - (23 + 0)). Let m = r + -266. What is i in -m*i**3 - 2/11 - 6/11*i**2 - 6/11*i = 0?
-1
Let w(j) = j - 7. Let h be w(9). Factor -4*m**2 - 139*m - 162 + m**2 + 103*m + m**h.
-2*(m + 9)**2
Let w(u) be the third derivative of -1/540*u**6 - 17*u**2 + 0*u**4 + u**3 + 0*u + 1/180*u**5 + 0. Let j(k) be the first derivative of w(k). Solve j(z) = 0.
0, 1
Suppose -603 = 52*p + 229. Let r be (4 + -8)/(-17 - p). Factor -217/4*i**3 + 4 + 49/4*i**r + 23*i + 15*i**2.
(i - 4)*(i - 1)*(7*i + 2)**2/4
Find o, given that -62 + 32*o**3 - 501/4*o**2 - 1/4*o**4 + 311/2*o = 0.
1, 2, 124
Let b(j) be the first derivative of 190*j**3/3 - 381*j**2 + 8*j + 900. Factor b(d).
2*(d - 4)*(95*d - 1)
Solve -4/7*j**3 + 4/7*j - 92/7*j**2 + 92/7 = 0.
-23, -1, 1
Let q(w) be the third derivative of -w**8/784 - w**7/245 + 5*w**6/56 + w**5/70 - 3*w**4/7 + 1074*w**2. What is h in q(h) = 0?
-6, -1, 0, 1, 4
Find o, given that 319/5*o + 1/5*o**2 + 634/5 = 0.
-317, -2
Let m(j) = 87*j**2 - 79*j + 7. Let y be m(1). Factor y*l - 1/2*l**2 - 225/2.
-(l - 15)**2/2
Let k = -1361510/7 + 194507. Factor 18/7*b**2 + 3/7*b**5 + k*b**3 + 24/7*b**4 + 0 + 0*b.
3*b**2*(b + 1)**2*(b + 6)/7
Suppose 0*k - 5*k = 20, -5*j = 4*k - 99. Suppose 4*v + 6 = 2*v + 2*i, -5*i = -v - j. Factor 8*u**2 - v*u**3 + 2*u + 7*u - 2*u - 2*u**4 + u.
-2*u*(u - 2)*(u + 1)*(u + 2)
Suppose -4*m + 491 - 482 = 11*c, -2*c + 3*m + 24 = 0. Find y, given that -2*y**2 + 1 + 3/2*y**c - 1/2*y = 0.
-2/3, 1
Let j(t) = -4*t**4 - 7*t**3 + 30*t**2 + 19*t - 35. Let i(b) = 4*b**4 + 6*b**3 - 28*b**2 - 18*b + 34. Let y(m) = 3*i(m) + 2*j(m). Factor y(x).
4*(x - 2)*(x - 1)*(x + 2)**2
Let t be -2 - -4 - 4/2. Let u be 342/76 - (t + 0). Factor -u*y**3 + 3/2*y**2 + 0 + 9/2*y**4 + 0*y - 3/2*y**5.
-3*y**2*(y - 1)**3/2
Suppose 26*i - 24*i = 3*o - 5, -5*i - 2*o = 22. Let g be ((-25382)/(-385))/7 + i/(-22). Factor 32/5 + 16/5*b**3 + 2/5*b**4 + 64/5*b + g*b**2.
2*(b + 2)**4/5
Suppose -336*l - 3*c + 24 = -341*l, -4*l + 5*c - 40 = 0. Factor -7/3*z**4 + 0 + 8/3*z**3 + 1/3*z**5 + l*z + 16/3*z**2.
z**2*(z - 4)**2*(z + 1)/3
Suppose 0 - 2/3*l**4 - 8*l**3 - 64/3*l**2 + 0*l = 0. What is l?
-8, -4, 0
Suppose 6*l + 76*l - 13 - 233 = 0. Let z(j) be the second derivative of l*j - 4*j**2 - j**3 + 1/6*j**4 + 0. Find q such that z(q) = 0.
-1, 4
Let d(v) = 13*v**3 - 8*v**2 - 14*v - 3. Let q(f) = 2*f**3 - f**2 - 2*f - 1. Let c(i) = -d(i) + 6*q(i). Let l be c(1). Find w such that 0 + l*w - 2/9*w**2 = 0.
0
Let j(g) be the first derivative of g**6/9 + 206*g**5/15 + 1300*g**4/3 - 5408*g**3/9 + 2670. Find b such that j(b) = 0.
-52, 0, 1
Factor 473 - 141 - 94*q - 520*q + 444*q + 2*q**2.
2*(q - 83)*(q - 2)
Let w be (3/(-6))/((-29)/116). Let m(f) be the first derivative of -20 - 2/15*f**5 - 1/3*f**4 + 2/3*f**3 - 8/3*f + 4/3*f**w. Suppose m(o) = 0. Calculate o.
-2, 1
Let l(f) be the third derivative of f**5/15 - 63*f**4 + 10*f**2 - 3*f - 27. Let l(c) = 0. Calculate c.
0, 378
Suppose 1129 = 10*h - 1421. Solve 21*l**2 + 392*l + 3*l**3 - h*l + 27 - 188*l = 0.
-9, 1
Suppose -w = -0 - 4, 0 = 3*i + 5*w - 32. Suppose -i*g - g + 15 = 0. Factor -g*o**2 + 3*o - 7*o - 2*o.
-3*o*(o + 2)
Let x(f) be the first derivative of f**5/10 + 7*f**4/30 + 2*f**3/15 + 56*f + 8. Let c(v) be the first derivative of x(v). Factor c(s).
2*s*(s + 1)*(5*s + 2)/5
Let o(z) = -4*z + 4*z**2 + 2 - 3*z**2 + 7*z - 4*z. Let v(p) = 2*p**2 + 68*p - 640. Let y(q) = 4*o(q) - v(q). Factor y(c).
2*(c - 18)**2
Find c such that -63286*c**2 - 64940*c - 1373*c**3 - 19336*c**2 - 64092*c - 2*c**4 - 47426*c**2 + 355*c**3 = 0.
-254, -1, 0
Suppose g - 87 = -226. Let m = g - -977/7. Determine r, given that m*r**4 - 4/7*r + 4/7*r**3 - 4/7*r**2 + 0 = 0.
-1, 0, 1
Let s = -535/4 - -135. Let j be ((-142)/308 - (-6)/(-33))/((-111)/259). Factor s*b + 1/4*b**2 + j.
(b + 2)*(b + 3)/4
Factor -110*v**3 - 17*v**5 - 16*v**5 + 55*v**5 + 100*v**2 + 180 - 15*v**4 - 17*v**5 + 620 + 840*v.
5*(v - 5)*(v - 4)*(v + 2)**3
Let a be -2 - (-5 + -6 + 1). Let 2*d**2 + 34*d + a*d**2 + d**3 + 6 + d**3 - 20*d = 0. Calculate d.
-3, -1
Let o(d) be the second derivative of d**7/273 - 49*d**6/195 - 159*d**5/65 - 326*d**4/39 - 440*d**3/39 - 60*d + 7. Suppose o(x) = 0. What is x?
-2, 0, 55
Factor -1091904/5*a - 3/5*a**5 + 326832/5*a**2 + 1022208/5 + 408/5*a**4 - 3804*a**3.
-3*(a - 44)**3*(a - 2)**2/5
Let p be (6 - (1 - -4))*-15. Let y(x) = 27*x**2 - 243*x. Let r(h) = 7*h**2 - 61*h. Let l(t) = p*r(t) + 4*y(t). Determine g so that l(g) = 0.
0, 19
Let l be ((-1000)/16)/((-1)/10). Let q = -1859/3 + l. Factor 8/3 + 2*v**2 - q*v.
2*(v - 2)*(3*v - 2)/3
Let y(f) = f**3 + 10*f**2 + 5*f - 12. Let t be y(-9). Suppose 0 = -4*l + t - 12. Factor -10*z + 3*z**4 + 9*z**4 + 5*z**2 - 17*z**4 