tive of s(c). Factor x(t).
-3*(t + 2)*(t + 6)**2
Find h, given that -h**5 - 313/4*h + 33/2 + 111*h**2 - 15*h**4 - 133/4*h**3 = 0.
-11, -6, 1/2, 1
Suppose -24585*r = -24582*r + 5*w + 4, 2*r = 4*w + 12. Factor -3042/7 - 152/7*x**3 - 2/7*x**4 - 2732/7*x**r + 5928/7*x.
-2*(x - 1)**2*(x + 39)**2/7
Let p = 1/9600 + 21333/3200. Let u(d) be the first derivative of -64*d - p*d**3 - 12 - 1/2*d**4 - 32*d**2. Find k such that u(k) = 0.
-4, -2
Let r(t) be the third derivative of 33*t**8/16 - 241*t**7/35 - 151*t**6/40 + 35*t**5/2 + 19*t**4/2 - 12*t**3 + 245*t**2 - 6. Suppose r(y) = 0. What is y?
-2/3, -3/7, 2/11, 1, 2
Find m such that 7*m**4 - 420*m - 2*m**4 + 60*m**3 - 3728 + 3973 + 110*m**2 = 0.
-7, 1
Let l be 0*(-35)/4235*2/4. Factor 0*i + l - 2*i**2 - 1/2*i**3.
-i**2*(i + 4)/2
Let h(o) be the second derivative of 2*o**2 + 4/15*o**4 + 34*o + 0 + 17/15*o**3 + 1/50*o**5. Let h(d) = 0. Calculate d.
-5, -2, -1
Let 608*t + 221 + t**2 - 428*t - 2*t**2 + 3*t**2 - 43 = 0. What is t?
-89, -1
Let q(b) be the third derivative of -b**7/42 - b**6/6 - b**5/12 + 5*b**4/4 - 2*b**2 + 9*b - 76. Factor q(y).
-5*y*(y - 1)*(y + 2)*(y + 3)
Suppose 1/6*m**3 + 48*m + 54 - 35/6*m**2 = 0. What is m?
-1, 18
Let k(i) = i**3 + i**2 - 4. Let f(a) = a**3 - 57*a**2 + 8*a + 228. Let w(p) = -2*f(p) + 6*k(p). Factor w(j).
4*(j - 2)*(j + 2)*(j + 30)
Find b, given that 0 + 4*b - 1/6*b**2 = 0.
0, 24
Factor o**2 - 6*o**2 + 4*o**2 + 65*o - 1521 + 16*o - 3*o.
-(o - 39)**2
Let j(h) be the second derivative of -h**6/195 - 46*h**5/65 - 129*h**4/13 - 756*h**3/13 - 2241*h**2/13 + 2586*h. Factor j(i).
-2*(i + 3)**3*(i + 83)/13
Solve 396 + 4*z**3 + 22*z**2 - 28*z - 2*z**3 + 390 - 834 = 0.
-12, -1, 2
Factor 4/7*x + 0 + 10/7*x**2 + 8/7*x**3 + 2/7*x**4.
2*x*(x + 1)**2*(x + 2)/7
Suppose -6 - 18 = -4*t. Solve -19*q**3 - q**3 + 21*q**3 - t*q**2 - 6 + 11*q = 0 for q.
1, 2, 3
Let l(t) = 4*t**3 - 4*t**2 - 2*t + 4. Let b = 13 - -28. Let x = -38 + b. Let r(y) = -5*y**3 + 4*y**2 + 2*y - 4. Let u(i) = x*l(i) + 2*r(i). Factor u(v).
2*(v - 2)*(v - 1)*(v + 1)
Suppose -13*f - 2308158 = -2308197. Factor -18*l + 728/3*l**2 + 18*l**f + 1/3*l**4 - 243.
(l - 1)*(l + 1)*(l + 27)**2/3
Let x(m) be the first derivative of 11/4*m**2 + 0*m + 1/6*m**3 + 96. Let x(b) = 0. Calculate b.
-11, 0
Let j be 2 - (2 + -2) - 0. Suppose 134*y - 104*y - 4 = -4. Factor -3/4*g**j + y*g + 3/4.
-3*(g - 1)*(g + 1)/4
Let d(x) be the second derivative of -35 - x + 2/57*x**4 + 0*x**2 - 4/285*x**6 - 5/399*x**7 + 3/95*x**5 - 1/57*x**3. Suppose d(l) = 0. What is l?
-1, 0, 1/5, 1
Suppose -847*a + 862*a - 75 = 0. Let x(g) be the third derivative of 1/20*g**a + 0*g**3 - 8*g**2 + 0*g + 0 - 1/8*g**4. Factor x(l).
3*l*(l - 1)
Solve 30*u**3 - 276*u + 89680*u**2 - 89605*u**2 - 420 - 5*u**4 + 56*u = 0.
-2, 3, 7
Let f(a) be the third derivative of a**6/780 - 203*a**5/130 + 30805*a**4/52 + 93025*a**3/39 + 2*a**2 - 77*a. Let f(n) = 0. What is n?
-1, 305
Determine v so that 135*v**2 - v + 10153*v**3 - 145 - 10152*v**3 + 10 = 0.
-135, -1, 1
Let g(s) be the first derivative of 151 + 0*s - 16/5*s**5 + 0*s**3 + 2/3*s**6 + 0*s**2 + 4*s**4. Factor g(k).
4*k**3*(k - 2)**2
Let r(h) be the second derivative of 2*h**7/231 - 5*h**6/66 + 19*h**5/110 - 17*h**4/132 - 37*h - 3. Factor r(c).
c**2*(c - 1)**2*(4*c - 17)/11
Suppose -3*d = 3*s - 24, -4*d = -3*d + 3*s - 6. Let v be 0 + 50*2/4. Factor -v*r**2 + 12*r + 0*r + d*r**2.
-4*r*(4*r - 3)
Let j be 6*((1/(-21))/1 + 76705/444360). Let 9/8*d**2 + 15/8*d + j = 0. Calculate d.
-1, -2/3
Let w = 152 + -128. Let p = -7 + 11. Factor 79*h**3 - 45*h**3 + p*h**4 - w*h**3 + h**4.
5*h**3*(h + 2)
Let x(w) be the second derivative of -w**5/90 - 8*w**4/9 - 47*w**3/27 + 1361*w. Determine u, given that x(u) = 0.
-47, -1, 0
Suppose 2*i + 3 = -l - 2*l, 0 = 2*i + 2*l - 2. Let r(a) = a + 4. Let z be r(-2). Factor 15 - 5*t + i*t**3 + 0*t**2 + 0*t**3 - 15*t**z - t**3.
5*(t - 3)*(t - 1)*(t + 1)
Let v be 910/(-380)*(-272)/68. Determine s so that -846/19*s**2 + 162/19*s**3 - 10/19 + v*s = 0.
1/9, 5
Suppose -3*a = -4*f + 13, -2*a + a = -1. Let k(b) be the second derivative of -1/15*b**5 + 1/45*b**6 - 14*b - 1/18*b**f + 0*b**2 + 0 + 2/9*b**3. Factor k(w).
2*w*(w - 2)*(w - 1)*(w + 1)/3
Let g = -4871/590 - -552/59. Let p(y) be the second derivative of -1331/5*y**2 - 1/50*y**5 - g*y**4 - 121/5*y**3 + 0 + 33*y. Determine t so that p(t) = 0.
-11
Suppose -u + n + 36 = 0, 3*n = 4*u - 22 - 121. Let h = u - -15. Solve 45*l - 20 + h*l**2 + 5*l**3 - 13*l**3 - 7*l**3 = 0 for l.
-1, 1/3, 4
Let m(o) be the first derivative of o**6/60 + o**5/15 + o**4/12 - 44*o**3/3 + 2*o + 105. Let t(r) be the third derivative of m(r). Determine j so that t(j) = 0.
-1, -1/3
Suppose -i - 32 = -35. Factor 95*r**3 + 8*r - 54*r**i - 47*r**3 + 2*r**4.
2*r*(r - 2)**2*(r + 1)
Let k be (24/16)/((-6)/(-8)). Let m be ((-1)/k)/((-1)/6). Let m*j**4 - 3*j**2 + 2*j + 10*j**4 - 5*j**4 - 7*j**4 = 0. What is j?
-2, 0, 1
Factor 362/11 - 8/11*i**2 + 1446/11*i.
-2*(i - 181)*(4*i + 1)/11
Let b(z) be the third derivative of z**7/105 - z**6/10 - 9*z**5/10 + 9*z**4 + 108*z**3 - 447*z**2 - 1. Suppose b(p) = 0. Calculate p.
-3, 6
Let i be 16/2 + (-2 - -2). Suppose 16 = 12*s - i*s. What is n in 8 - 27 + 32*n - 45 - s*n**2 = 0?
4
Let b(u) be the third derivative of -u**6/96 - u**5/2 - 715*u**4/96 - u**2 - u + 201. Factor b(j).
-5*j*(j + 11)*(j + 13)/4
Let l(x) be the first derivative of -x**6/6 + x**5 + 9*x**4/2 - 24*x**3 - 84. Let l(w) = 0. Calculate w.
-4, 0, 3, 6
Let a(d) be the first derivative of -3*d**4/16 + 279*d**3/4 - 57105*d**2/8 - 178929*d/4 + 8026. Factor a(y).
-3*(y - 141)**2*(y + 3)/4
Let n(r) be the third derivative of -r**7/945 + 17*r**6/135 - 217*r**5/54 - 1225*r**4/54 - 1403*r**2. Factor n(h).
-2*h*(h - 35)**2*(h + 2)/9
Let c(l) be the first derivative of 4802*l**3/3 - 2842*l**2 + 1682*l - 10020. Factor c(r).
2*(49*r - 29)**2
Let w(k) = -6*k**3 + 3*k**2 + 1. Let z(i) = 178*i**3 - 156*i**2 - 342*i - 516. Let s(b) = -60*w(b) - 2*z(b). Suppose s(c) = 0. Calculate c.
-27, -3
Let d(u) be the second derivative of -5*u**4/12 + 185*u**3/6 - 255*u**2 - 74*u - 7. Factor d(w).
-5*(w - 34)*(w - 3)
Let b = -529 - -595. Suppose -19*l + b = 14*l. Solve 0*d + 0 - 1/4*d**l - 1/4*d**3 = 0 for d.
-1, 0
Let i = 270986 + -1354928/5. Find v such that 16/5*v + 34/5*v**2 + 0 + 4*v**3 + i*v**4 = 0.
-8, -1, 0
Solve -11*k + 1/10*k**2 + 109/10 = 0 for k.
1, 109
Let i(r) be the third derivative of 0 + 0*r**4 - 4/105*r**7 - 82*r**2 + 0*r + 0*r**5 - 1/84*r**8 + 1/10*r**6 + 0*r**3. Find f, given that i(f) = 0.
-3, 0, 1
Let f = -766690 + 49837011/65. Let t = 167/5 - f. Factor 4/13 + 2/13*g - t*g**2.
-2*(g - 2)*(g + 1)/13
Let a(p) be the first derivative of -2*p**6/75 + 6*p**5/25 - 4*p - 8. Let k(j) be the first derivative of a(j). Let k(d) = 0. What is d?
0, 6
Suppose -6*n - 12 = -12*n. Let b(a) = -21*a - 207. Let d be b(-10). Let 5/2*u - 3 + u**n - 1/2*u**d = 0. Calculate u.
-2, 1, 3
Let 5530*x**2 + 0 + 3225*x**3 + 755/2*x**4 + 980*x + 25/2*x**5 = 0. What is x?
-14, -2, -1/5, 0
Let i = 53/15 + -10/3. Let j = 1/2189 + 4373/10945. Find x, given that i - 3/5*x**2 - j*x = 0.
-1, 1/3
Let s(c) be the second derivative of 97*c - 59/20*c**6 + 0*c**2 - 697/8*c**4 - 337/8*c**5 - 289/6*c**3 - 5/84*c**7 + 2. What is h in s(h) = 0?
-17, -1, -2/5, 0
Suppose 18 = 2*n + 114. Let z = n - -63. Find d, given that 55*d**3 + 214 + z*d**2 + 25*d**4 - 15*d**5 - 214 = 0.
-1, -1/3, 0, 3
Let g(q) = 3*q**2 + 6*q - 3. Let z = -3 + 0. Let u(i) = 9*i**2 + 18*i - 8. Let f be -16*(24/16 - 2). Let b(r) = f*g(r) + z*u(r). Find s, given that b(s) = 0.
-2, 0
Suppose 6*q - 10 = 4*i, 123*i + 5*q = 127*i + 5. Let c(t) be the third derivative of -2*t**2 - 8*t**3 - 3/40*t**6 + 23/20*t**5 - i*t**4 + 0*t + 0. Factor c(n).
-3*(n - 4)**2*(3*n + 1)
Let d(t) be the third derivative of t**8/336 - t**7/30 - 23*t**6/8 + 3731*t**5/60 - 845*t**4/6 + t**2 + 467. Let d(o) = 0. What is o?
-20, 0, 1, 13
Let o(j) = -22*j**2 - 762*j + 9. Let a(h) = -17*h**2 - 571*h + 7. Let u(m) = 9*a(m) - 7*o(m). Solve u(r) = 0 for r.
-195, 0
Let x be (2 + -1)*(-15 - 6). Let i be (-70)/x - (-8)/(-6). Factor -5*t - 37*t**2 + t + 35*t**i.
-2*t*(t + 2)
Let j(p) be the first derivative of p**2 + 7 - 5/12*p**4 + 0*p**3 + 0*p - 1/48*p**6 + 5/24*p**5. Let t(n) be the second derivative of j(n). Factor t(i)