**4. Solve w(o) = 0 for o.
-1, 0, 1, 2
What is h in 236 - 27*h**2 - 74*h - 175*h + 31*h**2 + 9*h = 0?
1, 59
Let -2 + 11/3*h - 2*h**2 + 1/3*h**3 = 0. Calculate h.
1, 2, 3
Let h(d) be the second derivative of 1/6*d**7 + 1/8*d**3 + 0 + 5/48*d**4 - 31/80*d**5 + 0*d**2 - 1/24*d**6 + 21*d. Suppose h(c) = 0. What is c?
-1, -1/4, 0, 3/7, 1
Let q(z) be the first derivative of z**6/36 + 5*z**5/6 + 107*z**4/12 + 328*z**3/9 + 32*z**2/3 - 512*z/3 + 63. Factor q(p).
(p - 1)*(p + 2)*(p + 8)**3/6
Suppose -5*u + 6*u = 4. Find a such that 7*a + 5*a**2 - 15*a + 6 - u*a**2 + a**2 = 0.
1, 3
Let g(w) be the second derivative of -w**4/6 + w**3/3 + 88*w. Determine b, given that g(b) = 0.
0, 1
Let t be 6/(-10) + (-851)/(-185). Suppose 2*p = 4*s + t, -5*p + 16 = -7*s + 3*s. Factor -3/4*l**p + 3/2*l**3 - 3/2*l + 3/4 + 0*l**2.
-3*(l - 1)**3*(l + 1)/4
Let d(z) = 10*z**2 - 32*z + 68. Let s(h) = 8*h**2 - 31*h + 71. Let u(c) = 3*d(c) - 4*s(c). Factor u(j).
-2*(j - 10)*(j - 4)
Let q(i) = i**3 - 16*i**2 - 17*i. Let b be q(17). Suppose -y**2 + 7*y**4 + 5*y**3 - y**2 + b*y**2 = 0. What is y?
-1, 0, 2/7
Let z(s) be the first derivative of s**5/10 + 9*s**4/16 - 3*s**3/2 + s**2/8 + 3*s/2 - 2. Factor z(l).
(l - 1)**2*(l + 6)*(2*l + 1)/4
Let y(b) be the third derivative of -b**6/360 + b**5/10 + 7*b**4/6 + 44*b**3/9 - 149*b**2. Suppose y(d) = 0. Calculate d.
-2, 22
Factor 2/7*d**3 - 10/7*d - 8/7*d**2 + 0.
2*d*(d - 5)*(d + 1)/7
Let t be (-57)/(-15) - (-8)/40. Factor -5*i - 11 + t*i - 4*i + 15*i**2 + 5*i**3 - 4.
5*(i - 1)*(i + 1)*(i + 3)
Find h such that -5/2*h**2 - 130 + 265/2*h = 0.
1, 52
Let b(v) = 25*v**3 - 16*v**2 - 17. Let s(c) = 3*c**3 - 2*c**2 - 2. Suppose -5*z - 38 + 8 = 0. Let u(a) = z*b(a) + 51*s(a). Factor u(k).
3*k**2*(k - 2)
Suppose -t - 4*k = -35, 4*t + 2*k - 126 = -0*t. Suppose 5*o - t = -11. Determine m so that -10*m**4 + 10*m**4 - 58*m**3 + 39*m**o - 8*m + 36*m**2 - 9*m**5 = 0.
0, 2/3, 1, 2
Let z(l) be the first derivative of -2*l**3/15 - 3*l**2 + 68*l/5 - 119. What is d in z(d) = 0?
-17, 2
Let w(t) be the second derivative of -1/90*t**6 + 1/36*t**4 + 39*t + 0*t**2 + 1/30*t**5 + 0 - 1/9*t**3. Suppose w(v) = 0. What is v?
-1, 0, 1, 2
Suppose 13*j - 126 = 4*j. Let b(d) be the first derivative of 0*d**3 + 4/5*d + 3/5*d**2 - 1/10*d**4 + j. Factor b(f).
-2*(f - 2)*(f + 1)**2/5
Let c(m) be the third derivative of -m**8/1176 + 2*m**7/735 + m**6/140 - 4*m**5/105 + m**4/21 + 95*m**2. Let c(t) = 0. What is t?
-2, 0, 1, 2
Factor 0*y**2 - 1/8*y - 1/8*y**5 + 0 + 1/4*y**3 + 0*y**4.
-y*(y - 1)**2*(y + 1)**2/8
Let i be 153/(-34)*5/((-15)/2). Let h(u) be the first derivative of 0*u + 2 - 3/5*u**5 - 3/4*u**4 + u**i + 3/2*u**2. Factor h(q).
-3*q*(q - 1)*(q + 1)**2
Let d(s) be the first derivative of s**4/30 + 34*s**3/15 + 289*s**2/5 + 9826*s/15 + 28. Find n such that d(n) = 0.
-17
Suppose -23 = -8*x + 17. Factor 26 - 14 - x*w**2 + w**2 - 8*w.
-4*(w - 1)*(w + 3)
Let h(b) = 2*b + 2. Let x be h(-1). Factor 30*m + x*m**2 + 6*m**2 - 10*m**2 - m**2.
-5*m*(m - 6)
Let j(p) = 31*p**2 - p + 0*p**3 - 32*p**2 + p**3. Let w(c) = -18*c**3 - 26*c**2 - 6*c + 4. Let g(b) = -2*j(b) - w(b). Factor g(s).
4*(s + 1)**2*(4*s - 1)
Let j(k) be the third derivative of -k**6/780 + k**5/78 - 13*k**2 - 4*k. Factor j(s).
-2*s**2*(s - 5)/13
Let u be 8/(-6) - (774/(-81) - -8). Factor 8/9*r - u*r**2 - 2/3.
-2*(r - 3)*(r - 1)/9
Let g(b) be the first derivative of 5*b**4/4 + 8*b**3/3 + 5*b**2/2 - 2*b - 7. Let q(y) = 10*y**3 + 15*y**2 + 10*y - 5. Let a(o) = 5*g(o) - 2*q(o). Factor a(u).
5*u*(u + 1)**2
Let f(t) be the second derivative of 1/6*t**2 - 1/36*t**4 + 0*t**3 + 5*t + 0. Let f(o) = 0. Calculate o.
-1, 1
Let c = -47703 - -47703. Factor -1/8*m**4 + c*m + 0 - 1/4*m**2 + 3/8*m**3.
-m**2*(m - 2)*(m - 1)/8
Let n(c) be the third derivative of -c**7/4410 - c**6/1260 + c**4/4 - 2*c**2. Let k(a) be the second derivative of n(a). Factor k(l).
-4*l*(l + 1)/7
Let k(q) be the third derivative of 5*q**8/224 + q**7/21 - 13*q**6/24 + q**5 - 5*q**4/48 - 5*q**3/3 - 40*q**2 - q. Suppose k(l) = 0. What is l?
-4, -1/3, 1
Let j(o) = 4*o**2 + 6 - 196*o**3 + 197*o**3 + 8*o - 1. Let g(m) = -2*m**3 - 7*m**2 - 15*m - 10. Let k(x) = -6*g(x) - 14*j(x). Solve k(y) = 0 for y.
-5, -1
Suppose 27*l = 31*l - 24. Let d be 7/(140/(-96)) + l. Solve -d + 4/5*p - 2/15*p**2 = 0.
3
Suppose -3*c - 72 = 6*u - 3*u, -20 = 5*c. Let m = 26 + u. Determine k so that -m + 11*k**2 + 424*k - 5*k**2 - 426*k + 2*k**3 = 0.
-3, -1, 1
Let d(w) be the second derivative of 2/5*w**2 + 2/15*w**4 + 0 - 1/3*w**3 + 26*w - 1/50*w**5. Suppose d(q) = 0. Calculate q.
1, 2
Factor -g - 1/3*g**3 + 0 - 1/3*g**4 + 5/3*g**2.
-g*(g - 1)**2*(g + 3)/3
Let y(v) = -v + 4. Let r be y(1). Factor 4*i**3 - 3*i**3 - 4 - 10*i - r*i**3 - 8*i**2.
-2*(i + 1)**2*(i + 2)
Factor -12*z**2 + 20*z**3 - 16*z**2 + 0*z**2 - 24*z - 262*z**5 + 28*z**4 + 266*z**5.
4*z*(z - 1)*(z + 1)**2*(z + 6)
Let z(g) be the third derivative of g**8/672 + g**7/168 - 7*g**6/480 - 11*g**5/120 - g**4/24 + g**3/3 + 98*g**2. Suppose z(j) = 0. Calculate j.
-2, -1, 1/2, 2
Let w(n) = -n**4 + n**2 - 2*n - 1. Let f(u) = -u**5 + 3*u**4 + 80*u**3 - 572*u**2 - 8*u - 4. Let r(i) = f(i) - 4*w(i). Factor r(t).
-t**2*(t - 8)**2*(t + 9)
Suppose l + 869*l**4 + l - 2*l**3 - 871*l**4 + 2*l**2 = 0. Calculate l.
-1, 0, 1
Let t(s) be the first derivative of s**5/30 - s**3/6 + s**2/6 - 245. Factor t(b).
b*(b - 1)**2*(b + 2)/6
Let j(r) be the third derivative of r**5/20 - 31*r**4/4 + 61*r**3/2 - 222*r**2. Factor j(l).
3*(l - 61)*(l - 1)
Let j(c) be the second derivative of -c**7/168 - c**6/24 + 5*c**4/6 - 2*c**3/3 + 4*c. Let t(u) be the second derivative of j(u). Factor t(z).
-5*(z - 1)*(z + 2)**2
Let g(p) be the third derivative of p**8/50400 + p**7/1800 + p**6/300 - 23*p**5/30 + 35*p**2. Let y(u) be the third derivative of g(u). What is r in y(r) = 0?
-6, -1
Suppose 4*l = -4*h - 8, 3*h = 4*l - h. Let x be (l - -1)/(-36 + 40). Factor x*r**2 + 0*r + 0 - 27/5*r**4 + 6/5*r**3.
-3*r**3*(9*r - 2)/5
Suppose 0 = 94*d - 90*d - 24. Factor d*l + 6 + 3/2*l**2.
3*(l + 2)**2/2
Let b be 3/((-6)/(-20))*11/22. Factor -4*o**3 - 23*o**4 + 6*o**4 + 4*o**b + 8*o**2 + 9*o**4.
4*o**2*(o - 2)*(o - 1)*(o + 1)
Let a(d) = -17*d - 456. Let y be a(-27). Let u(o) be the third derivative of 1/36*o**y - 1/48*o**4 + 1/120*o**5 + 0*o + 0 - 1/720*o**6 + 12*o**2. Factor u(z).
-(z - 1)**3/6
Suppose -g - 91 = -93. Let h(b) be the third derivative of -1/8*b**4 - 5*b**g + b**3 + 0 + 0*b - 1/10*b**5 + 1/40*b**6. Find k, given that h(k) = 0.
-1, 1, 2
Factor -134*z**2 - 5*z**4 - 10*z**4 + 40*z**3 - 118*z**2 - 45*z**5 + 272*z**2.
-5*z**2*(z - 1)*(3*z + 2)**2
Let z(v) be the second derivative of v**7/210 + 4*v**6/75 + 4*v**5/25 + 31*v. Find l such that z(l) = 0.
-4, 0
Suppose 5*i + 3*f + 2 = 6, -5*i - f + 8 = 0. Let o = i - -3. Solve 2*d**3 + 6*d**4 + d**o - 6*d**4 - 2*d**2 - 1 + 3*d**4 - 3*d = 0 for d.
-1, 1
Let y be (-37 - -35)/(15/(-63)). Factor -3/5*v**2 + y*v - 147/5.
-3*(v - 7)**2/5
Let m(c) = -80*c**3 - 160*c**2 - 105*c - 15. Let g(i) = 121*i**3 + 240*i**2 + 157*i + 22. Let l(x) = -5*g(x) - 8*m(x). Suppose l(o) = 0. Calculate o.
-1, -2/7
Let y(z) be the second derivative of -z**7/15 + z**6/15 + 37*z**5/50 + 31*z**4/30 + 2*z**3/5 + 2*z + 359. Let y(s) = 0. What is s?
-1, -2/7, 0, 3
Suppose -b + 4*d + 5 = -6, -b = -3*d - 9. Find w, given that -9 - 10*w - 3*w**2 - 9*w + 3*w**b + 4*w + 0*w**3 = 0.
-1, 3
Let u be 39 + -26 - ((1 - 0) + 3). Suppose 12*w - 30*w**2 + 27/2*w**4 + u*w**3 + 0 = 0. Calculate w.
-2, 0, 2/3
Let y(l) be the first derivative of -2*l**5/15 + 10*l**4/3 + 46*l**3/9 - 14*l**2 - 263. Suppose y(v) = 0. What is v?
-2, 0, 1, 21
Determine w, given that 24/5*w - 2/5*w**2 + 26/5 = 0.
-1, 13
Let v(x) be the third derivative of 0*x**4 + 0*x + 0 + 0*x**3 - 1/720*x**6 + 1/90*x**5 + 4*x**2. Factor v(l).
-l**2*(l - 4)/6
Let l(o) be the first derivative of o**4/6 + 2*o**3/3 - 20*o + 1. Let y(w) be the first derivative of l(w). Solve y(g) = 0.
-2, 0
Let d be (12/(-6) + 1)*(1 + -1). Let p(r) be the second derivative of -5*r + 0*r**2 + d + 1/10*r**5 + 1/3*r**4 + 1/3*r**3. Factor p(b).
2*b*(b + 1)**2
Let y(q) be the third derivative of q**5/100 - 7*q**4/40 + q**3 + 268*q**2. Let y(w) = 0. What is w?
2, 5
Factor -35 + 5/2*v**3 + 115/2*v - 25*v**2.
5*(v - 7)*(v - 2)*(v - 1)/2
Let l(n) be the f