**2. Find h, given that v(h) = 0.
-59
Let q(k) = -1. Let d(y) = -4*y**2 - 8*y + 2. Suppose 3*p = -p - 8. Let v(b) = p*q(b) - d(b). Solve v(i) = 0.
-2, 0
Let d(x) = -10*x**4 + 5*x**2 - 10*x - 5. Let m(o) = o**4 + o**3 + o + 1. Suppose -3*j + 0 + 3 = 0. Let r(g) = j*d(g) + 5*m(g). Suppose r(q) = 0. Calculate q.
-1, 0, 1
Suppose -3*t + 9*l - 8*l = 2, 3*t + 2*l = 4. Factor 2/19*v**4 - 2/19 + 4/19*v**3 + t*v**2 - 4/19*v.
2*(v - 1)*(v + 1)**3/19
Let m(o) be the second derivative of -o**7/5040 - o**6/288 + o**5/40 - o**4/3 - 19*o. Let j(t) be the third derivative of m(t). Factor j(f).
-(f - 1)*(f + 6)/2
Factor 47*q**4 - 36*q**3 + 20*q - 112*q**4 + 61*q**4 + 16*q + 4*q**2.
-4*q*(q - 1)*(q + 1)*(q + 9)
Let d be (-6)/4 + 1 + (-16365)/(-42). Let p = 392 - d. What is g in -12/7*g**2 - 6/7*g**5 - 2/7*g - p*g**4 - 24/7*g**3 + 0 = 0?
-1, -1/3, 0
Factor 190*a**2 + 30 - 175*a - 69*a**3 + 59*a**3 - 35*a**3.
-5*(a - 3)*(a - 1)*(9*a - 2)
Solve 7*l + 32*l - 41 - 3*l**3 + 11 - 6*l**2 + 0*l = 0 for l.
-5, 1, 2
Let f(z) be the third derivative of -z**7/1050 - z**6/150 - z**5/100 + z**4/30 + 2*z**3/15 - 41*z**2 - 3*z. Factor f(d).
-(d - 1)*(d + 1)*(d + 2)**2/5
Let v be (-194)/(-38) - ((-1240)/(-380))/31. Determine x, given that 6*x - 18*x**2 - 9*x**4 + 3/2*x**v + 0 + 39/2*x**3 = 0.
0, 1, 2
Let s(t) = t**2 + 38*t + 37. Let g(l) = -l**2 - 13*l - 12. Let q(w) = 8*g(w) + 3*s(w). Factor q(y).
-5*(y - 3)*(y + 1)
Suppose -2*r - 16 = -6*r + d, 2*r - d - 10 = 0. Factor 27 - 46*k + 48*k - 32*k + r*k**2.
3*(k - 9)*(k - 1)
Let j(o) be the first derivative of o**8/420 - 2*o**7/105 + o**6/18 - o**5/15 + 3*o**3 + 8. Let a(f) be the third derivative of j(f). Factor a(s).
4*s*(s - 2)*(s - 1)**2
Factor 4/5*a**3 + 28/5*a - 12 + 28/5*a**2.
4*(a - 1)*(a + 3)*(a + 5)/5
Suppose 3*r + 9 = 0, 4*r - 95 = -2*t + 15. Let o = 67 - t. Solve -8*q - o*q**2 - 8/3 = 0.
-2/3
Let y(n) be the first derivative of n**6/90 + n**5/45 + 5*n**2 - 5. Let u(l) be the second derivative of y(l). Factor u(c).
4*c**2*(c + 1)/3
Let d(f) be the third derivative of f**7/945 + 11*f**6/540 + 11*f**5/90 + 37*f**4/108 + 14*f**3/27 - 3*f**2 - 41. Factor d(s).
2*(s + 1)**2*(s + 2)*(s + 7)/9
Factor -43*t - 192 + 24*t**3 + 36*t**2 + 3*t**4 - 13*t - 11*t - 29*t.
3*(t - 2)*(t + 2)*(t + 4)**2
Let y(l) = -26*l**4 - 55*l**3 - 35*l**2 - 6*l. Let b(u) = 53*u**4 + 112*u**3 + 70*u**2 + 11*u. Let v(f) = -6*b(f) - 10*y(f). Find q, given that v(q) = 0.
-1, -3/29, 0
Let u(x) be the first derivative of -1/4*x**4 - x - 20 + 1/3*x**3 + 1/2*x**2. Factor u(f).
-(f - 1)**2*(f + 1)
Let m be (-1)/(-2)*8/6. Suppose -1 = 5*c - y, 3*c = 7*y - 5*y - 2. Solve m*v**3 + 1/3*v**4 - 1/3 + c*v**2 - 2/3*v = 0.
-1, 1
Let d(u) be the first derivative of u**4/4 - 2*u**3/3 + u**2/2 - 119. Factor d(k).
k*(k - 1)**2
Let d(r) be the third derivative of -r**5/20 + r**4 + 9*r**3/2 - 215*r**2. Let d(f) = 0. Calculate f.
-1, 9
Let f be 1423/(-1230) + 1 + 13/78. Let v = f + 37/410. Factor 1/5*x**4 + 0*x**3 - 1/5*x**2 + 1/10*x + 0 - v*x**5.
-x*(x - 1)**3*(x + 1)/10
Determine o so that -4*o**2 + 1/6*o**3 + 0 + 24*o = 0.
0, 12
Let y(j) be the third derivative of -j**5/20 - j**4/2 - 3*j**3/2 - 93*j**2. Factor y(g).
-3*(g + 1)*(g + 3)
Let -51/4*b**2 + 243/4 - 189/4*b - 3/4*b**3 = 0. Calculate b.
-9, 1
Let k = 11 - 9. Suppose 2*l = -5*b - 6, -4*l = -k*b - 2*b + 12. Find d, given that 5*d + b*d + 6 + 2*d**2 - 3*d + 6*d = 0.
-3, -1
Let c(f) be the third derivative of f**6/60 - 11*f**5/15 + 32*f**4/3 - 224*f**3/3 + 9*f**2 + 7. Factor c(g).
2*(g - 14)*(g - 4)**2
Let o(h) be the third derivative of -8/21*h**3 + 25*h**2 + 0 - 1/24*h**8 - 1/15*h**5 - 4/105*h**7 - 11/21*h**4 + 0*h + 143/420*h**6. Find c such that o(c) = 0.
-2, -2/7, 1
Let s = 677/6 - 3097/30. Find y such that -4/5*y**2 + s*y - 144/5 = 0.
6
Let w = -2 - -4. Let z = 1919/9 + -213. Find p, given that z*p + 0 - 2/9*p**w = 0.
0, 1
Let g(h) be the first derivative of h**3/5 + 189*h**2/10 - 78*h + 367. Factor g(j).
3*(j - 2)*(j + 65)/5
Let f(r) be the second derivative of -r**4/18 - 8*r**3/27 + 11*r**2/9 + 208*r. Let f(u) = 0. Calculate u.
-11/3, 1
Solve 174/7 + 3/7*l**3 - 255/7*l + 78/7*l**2 = 0 for l.
-29, 1, 2
Let s be -2 + 3 + (-5 - 3). Let z = s - -10. Find c, given that -2*c - c**3 + 5*c - 3*c**2 - 2*c**3 + z*c**4 = 0.
-1, 0, 1
Let 2/3*s**5 - 98/9*s**2 - 8/3*s + 2/9*s**4 - 26/3*s**3 + 0 = 0. What is s?
-3, -1, -1/3, 0, 4
Let a(b) be the first derivative of 4*b**3/3 - 380*b**2 + 36100*b - 385. Find j such that a(j) = 0.
95
Let y(u) = u**3 + u**2 - 2*u. Let p(l) = -30*l**3 + 45*l**2 + 150*l - 3000. Let n(r) = p(r) + 25*y(r). Factor n(c).
-5*(c - 10)**2*(c + 6)
Let z(s) = 2*s**2 - 7*s + 3. Let k be z(3). Suppose -3*x + 9*w = 5*w - 4, k = -x + 5*w + 5. Factor 1/4*h**4 + 1/4*h**5 - 1/4*h**2 + x - 1/4*h**3 + 0*h.
h**2*(h - 1)*(h + 1)**2/4
Factor 36/7*q**2 - 1/7*q**4 + 0*q + 0 + 0*q**3.
-q**2*(q - 6)*(q + 6)/7
Let q be (5 + 13)/6*1. Suppose -1/6*y**4 + 1/2*y**q + 1/3*y - 1/6*y**5 + 5/6*y**2 + 0 = 0. Calculate y.
-1, 0, 2
Let j be -16 - 15*(-136)/119. Factor -2/7*c**4 - j - 26/7*c**2 - 24/7*c - 12/7*c**3.
-2*(c + 1)**2*(c + 2)**2/7
Let t(z) = z**2 + 4*z - 115. Let l be t(9). Let k(j) be the third derivative of 0*j - l*j**2 + 1/9*j**3 - 1/54*j**4 - 1/270*j**5 + 0. What is p in k(p) = 0?
-3, 1
Let l(w) = -137 + 2*w - 10*w + 132 - w**2. Let d be l(-7). Determine f, given that -2/5*f**4 - d*f + 4/5 + 2/5*f**3 + 6/5*f**2 = 0.
-2, 1
Let w(o) be the second derivative of -9*o - 3/20*o**5 - 5/4*o**4 + 0*o**2 + 0 + 1/10*o**6 - 3/2*o**3. Factor w(b).
3*b*(b - 3)*(b + 1)**2
Factor 0 - 2*z**2 - 2/7*z.
-2*z*(7*z + 1)/7
Let o(q) = -8*q. Let w be o(-3). Let s be (-10)/25 - w/(-10). Let -3/4*j**s + 0*j + 3/4 = 0. What is j?
-1, 1
Let r = 187/8820 + -2/441. Let g(y) be the third derivative of 0 + 0*y + 0*y**3 - r*y**4 - 1/150*y**5 + 9*y**2. Factor g(o).
-2*o*(o + 1)/5
Factor -22 - 17156*z + 17766*z - 593 + 5*z**2.
5*(z - 1)*(z + 123)
Suppose 5*q = 4*j + 54, 2*j = 2*q - 5 - 15. Suppose -10 - q = -12*i. Factor 1/5*y**i + 3/5*y + 2/5.
(y + 1)*(y + 2)/5
Let y(w) = 9*w**2 - 90*w + 186. Let q(t) = -t**2 - 2*t + 1. Let h(o) = 6*q(o) + y(o). Suppose h(s) = 0. Calculate s.
2, 32
Let m be -8 + 1 + 5 + -3. Let t(a) = -a**2 + 4*a - 10. Let p(u) = -u**2 + 4*u - 9. Let d be (-6)/4 - (-120)/16. Let q(c) = d*p(c) + m*t(c). Factor q(i).
-(i - 2)**2
Let n be -6 + 27/4 + 174/(-72) + 2. Factor -n*y**2 + 1/3 + 0*y.
-(y - 1)*(y + 1)/3
Let t(j) be the second derivative of 4/5*j**2 + 4*j**3 - 16*j + 0 + 15/2*j**4. Find m, given that t(m) = 0.
-2/15
Let o(r) be the first derivative of 0*r + 1/2160*r**6 + 1 + 2/3*r**3 + 0*r**2 + 0*r**4 + 1/720*r**5. Let l(v) be the third derivative of o(v). Factor l(f).
f*(f + 1)/6
Let s(g) be the third derivative of g**5/12 + 45*g**4/4 - 275*g**3/6 + 2*g**2 + 94. Suppose s(f) = 0. What is f?
-55, 1
Let h(y) = -34*y - 34. Let t be h(-16). Factor -2210*k**4 + t*k**4 + 186*k + 38*k + 368*k**3 + 500*k**5 + 492*k**3 + 964*k**2 + 16.
4*(k - 2)**2*(5*k + 1)**3
Let d(k) = 11*k**4 + 20*k**3 - 40*k**2 + 9*k + 27. Let x(f) = -3*f**4 - 5*f**3 + 10*f**2 - 2*f - 6. Let q(p) = -2*d(p) - 9*x(p). What is b in q(b) = 0?
-2, 0, 1
Factor -8 + 4*o - 23*o + 7*o - 2*o**2 + 3*o**3 + 0*o**2 + o**4.
(o - 2)*(o + 1)*(o + 2)**2
Let h(f) be the second derivative of -10*f**2 + 1/4*f**5 - 22*f + 0*f**3 + 5/4*f**4 + 0. Factor h(d).
5*(d - 1)*(d + 2)**2
Find c such that 101/2*c - 201/2*c**2 + 1/2*c**4 + 0 + 99/2*c**3 = 0.
-101, 0, 1
Let h(n) be the third derivative of -n**7/630 - 37*n**6/180 - 431*n**5/60 + 703*n**4/18 - 722*n**3/9 + 184*n**2. Factor h(m).
-(m - 1)**2*(m + 38)**2/3
Suppose 0 = -3912*o + 3943*o - 62. Suppose 57/7*c + 27/7 + 3/7*c**3 + 33/7*c**o = 0. What is c?
-9, -1
Let c(x) = 2*x - 9. Let j be c(-4). Let r be 2 + j + 17 + (-8)/5. Factor 1/5*w**2 - 3/5 + r*w.
(w - 1)*(w + 3)/5
Let k(b) be the first derivative of 2*b**5/95 - 7*b**4/19 - 310*b**3/57 - 444*b**2/19 - 792*b/19 + 456. Solve k(u) = 0.
-3, -2, 22
Let w be 5 + -4 + 3 + 0. Factor 10*j - 8*j**3 + 12*j**3 + 2*j + w*j**4 - 28*j**2 + 8*j**2.
4*j*(j - 1)**2*(j + 3)
Let r(h) be the first derivative of -h**4 - 40*h**3/3 + 22*h**2 - 127. Find m, given that r(m) = 0.
-11, 0, 1
Let v be 6/4*(-2 + 4). Let y be ((-74)/111)/(4/(-3) - -1). Factor v*k**3 - y*k**3 + 2 - 4*k**3 + k**3 - 6*k + 6*k**2.
-2*(