the third derivative of w(o). Factor h(a).
-(a - 4)*(a - 1)*(a + 5)/10
Let a(i) be the first derivative of i**5/15 - 5*i**4/2 + 28*i**3/3 + 8*i**2 + 6*i - 172. Let s(d) be the second derivative of a(d). Factor s(v).
4*(v - 14)*(v - 1)
Let a(n) be the first derivative of -2*n**3/9 - 203*n**2/3 + 136*n + 1470. Factor a(r).
-2*(r - 1)*(r + 204)/3
Suppose -j + 6 = q + 2*j, 4*j - 19 = -5*q. Find d, given that 106*d**3 - 132 + 399*d + 267*d**2 - 85*d**q - 15*d = 0.
-11, -2, 2/7
Let m = 198 + -192. Suppose 1701*h - 1698*h = m. What is s in 0*s - 2/3*s**h + 0 - 4*s**3 = 0?
-1/6, 0
Let x = -255 + 258. Factor -6*i**3 - i**2 - 6*i**x + 0*i**4 + 2*i**4 + 9*i**3 - 1 + 3*i.
(i - 1)**2*(i + 1)*(2*i - 1)
Let a(l) be the second derivative of 5/6*l**4 + 0 + 15/2*l**2 + 25/6*l**3 - 5*l. Solve a(i) = 0.
-3/2, -1
Let s(k) be the first derivative of -60*k**2 - 244/3*k**3 - 21/2*k**4 - 16*k + 232 + 98/5*k**5. Factor s(n).
2*(n - 2)*(n + 1)*(7*n + 2)**2
Let m(s) be the third derivative of s**7/280 - s**6/15 - 11*s**5/10 - 6*s**4 + 103*s**3/6 - 44*s**2. Let c(f) be the first derivative of m(f). Factor c(h).
3*(h - 12)*(h + 2)**2
Suppose -184 = -0*w - 23*w. Suppose -2*r - 2*k + 2 = 0, r + 5*k - 1 = -w. Factor -1/5*d**4 + 1/5*d - 1/5*d**r + 3/5*d**2 - 2/5.
-(d - 1)**2*(d + 1)*(d + 2)/5
Let f(b) be the third derivative of -149*b**2 - 1/12*b**4 - 1/120*b**6 + 0*b + 1/20*b**5 + 0*b**3 + 0. What is x in f(x) = 0?
0, 1, 2
Suppose -1511*l = 4*v - 1510*l - 2, -2*v - 5*l = 80. Determine x, given that -5*x - 5/3 - v*x**2 - 5/3*x**3 = 0.
-1
Let s(n) be the first derivative of 10*n**4 + 172*n**3/9 + 8*n**2 - 4*n/3 - 2254. What is f in s(f) = 0?
-1, -1/2, 1/15
Let m(o) be the second derivative of 950907*o**4/4 + 1126*o**3 + 2*o**2 - o + 452. Solve m(y) = 0 for y.
-2/1689
Let m(w) be the third derivative of w**6/720 + 7*w**5/360 - 5*w**4/18 + 11*w**3/9 + 4*w**2 + 72*w. Solve m(l) = 0.
-11, 2
Find r, given that 64*r**2 - 390*r**4 - 381*r**4 + 45*r**3 + 5*r**5 - 9*r**2 - 418*r**4 - 50*r + 1134*r**4 = 0.
-1, 0, 1, 10
Let g(z) = z**2 + z + 34. Let n be g(0). Let p = n + -22. What is h in -2*h**2 - 13 + 56*h**3 - 20*h - 36*h**5 - 6*h**2 + 9 + p*h**4 = 0?
-1, -1/3, 1
Let l(v) be the second derivative of v**5/20 + 5*v**4/6 - 13*v**3/6 - 10*v**2 + 3*v. Let y be l(-11). Factor -15*d + 8*d**y - 15*d**2 + 2*d**2.
-5*d*(d + 3)
Let p be -19 + 832*(-16)/(-640). Factor -p*s + 2 - 1/5*s**2.
-(s - 1)*(s + 10)/5
Let c(x) = x**3 + 19*x**2 + 95*x + 74. Let m(w) = -2*w**3 + 2*w**2 + 2*w + 1. Let l(a) = 2*c(a) + 2*m(a). Factor l(v).
-2*(v - 25)*(v + 1)*(v + 3)
Suppose -4*z + 248*q = 249*q - 185, 3*q + 210 = 5*z. Solve -30*o - z*o**4 - 130*o**2 + 25/2*o**5 - 315/2*o**3 + 0 = 0.
-1, -2/5, 0, 6
Let v = -1012 - -1018. Suppose 5*b + 2*x = v - 0, -b - 2*x = -6. Let b*r + 4/17*r**2 + 0 - 14/17*r**3 = 0. Calculate r.
0, 2/7
Suppose 0 = 3*u + k + 4, 19*u = 23*u - 2*k - 38. Determine y so that -1/7*y**u + 5/7*y**2 - 8/7*y + 4/7 = 0.
1, 2
Solve 284/5 + 286/5*i + 2/5*i**2 = 0.
-142, -1
Suppose -57*n + 312 - 141 = 0. Let o(r) be the second derivative of -5/48*r**4 + 1/16*r**5 - 21*r - 25/24*r**n - 15/8*r**2 + 0. Determine u so that o(u) = 0.
-1, 3
Factor 3887*c - 1021*c + 86752361*c**2 + 8*c**3 + 820 - 86754015*c**2.
2*(c - 205)*(c - 2)*(4*c + 1)
Let f = 1/133975 - -643079/133975. Determine c, given that 2/5*c**2 - 8/5*c - f = 0.
-2, 6
Let q be (4 + -4)*(-2)/4. Let j(z) be the third derivative of 0 + 17/60*z**6 + q*z**3 - 3/4*z**4 - 8*z**2 - 7/10*z**5 - 1/35*z**7 + 0*z. Factor j(r).
-2*r*(r - 3)**2*(3*r + 1)
Let 314*o - 42*o**2 - 87 - 27 - 2*o**3 - 43 - 113 = 0. Calculate o.
-27, 1, 5
Let r = 6521 - 6518. Let o(t) be the first derivative of -2/5*t - 1/10*t**2 + 7/5*t**r - 9. Factor o(b).
(3*b - 1)*(7*b + 2)/5
Let a be (-1 - (-3)/6)/(35/(-280)). Suppose -5*l + 5 = -a*l - j, 8 = 2*l - j. Find u such that 11/4*u - 1/4*u**4 + 9/4*u**2 + 1/4*u**l + 1 = 0.
-1, 4
Factor -9*z**2 + z**4 + 1/2*z**5 + 0 + 27/2*z - 6*z**3.
z*(z - 3)*(z - 1)*(z + 3)**2/2
Let u(i) = -3*i**2 + 9*i + 10. Let t(h) be the first derivative of 16*h**3/3 - 45*h**2/2 - 50*h - 38. Let s(r) = 6*t(r) + 33*u(r). Factor s(v).
-3*(v - 10)*(v + 1)
Let b be (-8)/12 + 4*265/60. Factor -21*m**2 - b*m**2 + 35*m**2 - 45*m.
-3*m*(m + 15)
Let y = -25994/21 - -3716/3. Let m(t) be the first derivative of 29 + 6/7*t**3 - 3/2*t**4 + 0*t - 1/7*t**6 + 0*t**2 + y*t**5. Let m(f) = 0. Calculate f.
0, 1, 3
Let b(n) = -n**3 + 133*n**2 - 130*n - 292. Let w(a) = -a**3 + 135*a**2 - 132*a - 292. Let p(m) = 6*b(m) - 7*w(m). Factor p(g).
(g - 146)*(g - 2)*(g + 1)
Let m(t) = 0*t - 6*t + 2*t + 2. Let h be m(0). Factor 5*o**2 - 2*o - 4*o**2 - 2*o**2 + o**3 + 0*o**h.
o*(o - 2)*(o + 1)
Let a(y) be the third derivative of y**5/390 - 421*y**4/78 + 177241*y**3/39 + 1186*y**2. Factor a(r).
2*(r - 421)**2/13
Suppose -5*o = m, 2*m = m + 6*m + 5*o. Let s(t) be the first derivative of 4/9*t**3 + m*t - 1/2*t**2 - 1/12*t**4 + 18. Factor s(v).
-v*(v - 3)*(v - 1)/3
Let g(d) be the third derivative of d**6/660 - 133*d**5/330 - 269*d**4/132 - 45*d**3/11 - 5*d**2 - 57. Factor g(a).
2*(a - 135)*(a + 1)**2/11
Let j be (-24510)/3354 + (11 - (-3 + 1)). Solve 30/13 + 44/13*a**2 - 10/13*a**4 - j*a - 2/13*a**5 + 12/13*a**3 = 0.
-5, -3, 1
Let x(p) = -4*p**3 - 7*p**2 - 9*p + 3. Let n(c) = 6*c**3 + 8*c**2 + 10*c - 4. Let s = 13 - 17. Let a(d) = s*x(d) - 3*n(d). Factor a(j).
-2*j*(j - 3)*(j + 1)
Suppose -6*c = 53*c + 63*c. Let g(v) be the second derivative of 29*v + 1/30*v**3 + 0 + c*v**2 + 1/60*v**4. Solve g(i) = 0 for i.
-1, 0
Let g(u) be the first derivative of u**4 + 344*u**3/3 + 874. Factor g(n).
4*n**2*(n + 86)
Factor 231/2 - 1/2*v**3 + 229/2*v**2 + 461/2*v.
-(v - 231)*(v + 1)**2/2
Let z = 13/3026 - -54377/21182. Factor 3/7*x**3 + 0 - z*x**2 - 3*x.
3*x*(x - 7)*(x + 1)/7
Let r(j) be the third derivative of -j**7/420 + 13*j**6/540 - j**5/90 - 2*j**4/9 - 91*j**3/3 + 39*j**2. Let f(p) be the first derivative of r(p). Factor f(k).
-2*(k - 4)*(k - 1)*(3*k + 2)/3
Let f(y) be the third derivative of -2*y**7/105 + 26*y**6/15 + 53*y**5/15 - 3429*y**2. Factor f(m).
-4*m**2*(m - 53)*(m + 1)
Let o(t) be the second derivative of -t**4/48 - t**3/6 - 1232*t. Factor o(q).
-q*(q + 4)/4
Let 30*t**4 + 334*t**2 + 120 + 25*t**3 - 5*t**5 + 404*t**2 + 356*t**2 - 20*t - 1244*t**2 = 0. What is t?
-2, -1, 1, 2, 6
Let o(y) = 2*y**4 + y**3 + 2*y**2 + 1. Let q(u) = u**4 + 179*u**3 + 367*u**2 + 183*u + 2. Let m(j) = -2*o(j) + q(j). What is g in m(g) = 0?
-1, 0, 61
Factor -21/2 + 2*y + 1/2*y**2.
(y - 3)*(y + 7)/2
Let h = 2/236699 - -5207372/710097. Factor 7 + h*i + 1/3*i**2.
(i + 1)*(i + 21)/3
Let i = 399 + -400. Let a be -1 + 2 + ((-35)/21)/i. Factor 4/3*t**3 - 16/3 - 28/3*t - a*t**2.
4*(t - 4)*(t + 1)**2/3
Let s = -201 - -480. Suppose -283*y = -s*y. Factor -10/19*m**2 + y + 2/19*m.
-2*m*(5*m - 1)/19
Factor 21*i**3 + 0 + 0*i**2 - 4*i**5 - 109/2*i**4 + 0*i.
-i**3*(i + 14)*(8*i - 3)/2
Let z(m) = -m**2 - 85*m - 1804. Let q be z(-43). Let c(l) be the first derivative of 4 + l**q - l - 1/3*l**3. Solve c(x) = 0 for x.
1
Let h(v) be the first derivative of -5*v**3/3 + 250*v**2 + 1020*v + 425. Factor h(g).
-5*(g - 102)*(g + 2)
Let f(p) = -7*p**5 - p**2. Let o(j) = -11*j**5 + 12*j**4 + 68*j**3 - 157*j**2 + 80*j. Let v(d) = f(d) - o(d). Factor v(l).
4*l*(l - 5)*(l - 1)**2*(l + 4)
Let x(o) = o - 6. Let z be x(12). Suppose 4*k - 1 = 15. Factor -12*i**5 + 5*i**5 + 9*i**5 - z*i**3 - k*i**2.
2*i**2*(i - 2)*(i + 1)**2
Suppose 0 = -3*d + 4*l + 10, -2 - 1 = d + 5*l. Find i such that -162 + 3*i**d - 169 - 166 + i**2 + 481 = 0.
-2, 2
Let i(v) be the second derivative of v**5/15 - 4*v**4/3 - 40*v**3/3 + 145*v**2/2 + 25*v - 1. Let a(o) be the first derivative of i(o). Factor a(f).
4*(f - 10)*(f + 2)
Let r(p) = p**3 + 4*p**2 - 12*p - 6. Let z be r(8). Suppose -24*h - z = -714. What is y in 1/4*y**5 + 0*y + 0 + 0*y**h + 1/2*y**3 + 3/4*y**4 = 0?
-2, -1, 0
Factor 84/5 + 199/5*c + 1/5*c**4 + 33/5*c**3 + 147/5*c**2.
(c + 1)**2*(c + 3)*(c + 28)/5
Let v(r) = -14*r**2 + 138*r - 63. Let l be v(9). Let q(j) be the first derivative of -l*j - 30*j**2 + 10/3*j**3 - j**5 + 5*j**4 - 5. Factor q(w).
-5*(w - 3)**2*(w + 1)**2
Suppose 4*i = 166 - 158. Find a, given that 6*a**i + a + 17*a - 9*a**2 - 24 = 0.
2, 4
Let o(r) = r**3 + 23*r**2 + 30*r - 6. Let l(q) = 2*q**3 + 40*q**2 