ve of 43 - 1/21*k**3 + 4/7*k**2 + q*k. Find s, given that h(s) = 0.
-1, 9
Let q = 631/45 + -4237/315. Factor -4 + q*g**2 + 24/7*g.
4*(g - 1)*(g + 7)/7
Let i(d) = 18*d - 289. Let h(o) = 48*o - 866. Let q(l) = 6*h(l) - 17*i(l). Let k be q(-16). Factor -8*y**k + 14/3*y**4 + 0 + 0*y**2 - 2/3*y**3 + 0*y.
-2*y**3*(3*y - 1)*(4*y - 1)/3
Let q(p) be the second derivative of -12*p**2 + 21/40*p**5 - 15*p**3 + 9*p - 3/2*p**4 + 3. Factor q(z).
3*(z - 4)*(z + 2)*(7*z + 2)/2
Let l(y) = 6*y**3 + 8*y**2 - 10*y + 1. Let d be l(1). Let c be -2 - 15/d - (-116)/20. Factor 2/5*i**4 - 2/5*i**5 - 2*i**2 + 6/5*i**3 + 0 + c*i.
-2*i*(i - 1)**3*(i + 2)/5
Let q(w) = -15*w**2 + 140*w + 1276. Let p(d) = -8*d**2 + 68*d + 640. Let m(v) = -26*p(v) + 14*q(v). Factor m(r).
-2*(r - 102)*(r + 6)
Let y(j) be the third derivative of j**5/150 + 26*j**4/15 - 144*j**3/5 - 1555*j**2. Factor y(d).
2*(d - 4)*(d + 108)/5
Let g(n) = -n**3 + 16*n**2 + n - 7. Let d be g(16). Suppose -r + 3 = -d. Let 5*v**4 + r*v**3 - 19*v**2 + 4*v**5 + 7*v**4 + 23*v**2 = 0. What is v?
-1, 0
Let b(i) be the first derivative of -5*i**3/12 - 1225*i**2/4 + 3637. Factor b(s).
-5*s*(s + 490)/4
Suppose 0 = -4*r - 12 - 8, 0 = -z - 2*r - 6. Suppose -13*o + 27 + 25 = 0. Find m such that o*m**2 - m**2 - 4*m**4 - z*m**3 + 20*m + 8 + 9*m**2 = 0.
-1, 2
Suppose 0 = 337*w - 738 - 273. Factor 2/3*h**2 - 2/3*h**w - 2/3 + 2/3*h.
-2*(h - 1)**2*(h + 1)/3
Let z(w) be the second derivative of -w**7/1050 - w**6/150 + 2*w**5/75 - 5*w**3/3 - w**2 - 124*w. Let x(f) be the second derivative of z(f). Factor x(p).
-4*p*(p - 1)*(p + 4)/5
Let p(n) = 2*n**2 - 155*n + 118. Let o(m) = m**2 - 106*m + 80. Let x(h) = -7*o(h) + 5*p(h). Factor x(u).
3*(u - 10)*(u - 1)
Suppose -2*a + m + 4 = 0, -4*a + 24 = -7*m + 9*m. Suppose 12 = 5*s - 3. Solve -5*t**2 + a*t**2 - 4*t**s + t**2 + 4*t**2 = 0.
0, 1
Let l(a) be the first derivative of a**3 + 3/4*a**4 + 248 - 6*a**2 - 12*a. Factor l(n).
3*(n - 2)*(n + 1)*(n + 2)
Factor -1/2*n**3 + 72*n - 72 + 1/2*n**2.
-(n - 12)*(n - 1)*(n + 12)/2
Let t(q) be the third derivative of -q**8/1512 + 2*q**7/189 - 25*q**5/27 + 625*q**4/108 - 1352*q**2. Factor t(c).
-2*c*(c - 5)**3*(c + 5)/9
Let -64/9*n**2 + 3952/3*n - 61009 = 0. What is n?
741/8
Let k(z) = -2*z**3 - 9*z**2 + 3*z + 30. Let r be k(-4). Find h, given that -2*h**3 - 79*h**2 + 2 - 2*h - 2 + 159*h**r - 76*h**2 = 0.
0, 1
Let n(x) = -76*x**2 - 199*x - 94. Let a be n(-2). Factor a + 3/2*g**3 + g - 9/4*g**2 - 1/4*g**4.
-g*(g - 4)*(g - 1)**2/4
Factor -10537*g**4 + 165*g - 7*g + 10538*g**4 - 158*g**3 - 160*g**2 + 159.
(g - 159)*(g - 1)*(g + 1)**2
Let q(a) be the second derivative of -a**4/26 - 320*a**3/39 + 107*a**2/13 + 2*a + 108. Find b, given that q(b) = 0.
-107, 1/3
Let q be (2 - (1 - 23 - -24))*1/(-2). Factor -2/7*x**2 + 6/7*x + q.
-2*x*(x - 3)/7
Let d(k) = 2*k + 59. Let x be d(-9). Let r = x - 39. Solve 24*y + 2*y**r + 15 - 42*y + y**2 = 0 for y.
1, 5
Let f be (-146)/219*(-7)/10. Let c(z) be the third derivative of 1/3*z**4 + 0*z + 3/10*z**6 - f*z**5 + 1/84*z**8 + 0*z**3 - 2*z**2 + 0 - 2/21*z**7. Factor c(v).
4*v*(v - 2)*(v - 1)**3
Let n(p) be the first derivative of 5*p**6/6 + 218*p**5 + 65585*p**4/4 + 224540*p**3 + 954810*p**2 + 4739. Factor n(u).
5*u*(u + 6)**2*(u + 103)**2
Let v = -4/1124699 - -3374105/2249398. Let n = -1/207 - -625/828. Factor -v*x - n*x**2 + 0.
-3*x*(x + 2)/4
Let -50*u - 137*u**2 - 576 - 127*u**2 + 268*u**2 + 10*u = 0. Calculate u.
-8, 18
Suppose w + 14 = -5*r, 5*w + 7 = -3*r - r. Let u be -12*(r/24)/(12/16). Suppose 9/5*a - 3/5*a**u - 6/5 = 0. Calculate a.
1, 2
Let k be -1*1 + 4430*15/67350. Let n = k + 485/2694. Determine o, given that 2/3*o**2 - n*o - 2/3 + 1/6*o**3 = 0.
-4, -1, 1
Suppose 0 - 20*p**3 + 11/3*p**4 - 1/6*p**5 + 121/6*p - 11/3*p**2 = 0. Calculate p.
-1, 0, 1, 11
Let h(y) = 3*y**3 - 2*y**2 + 11*y + 3*y**3 - 9*y + 0*y**3 - 1. Let q be h(1). Solve -5*d - d**q - 241 - 3*d**4 - 2*d**2 + 244 + 2*d**4 + 6*d**3 = 0.
-3, -1, 1
Let q(m) be the second derivative of 3*m**7/14 + 137*m**6/24 + 3581*m**5/80 + 2977*m**4/48 - 39*m**3/8 - 81*m**2/4 + 17*m - 1. Find n such that q(n) = 0.
-9, -1, -1/4, 2/9
Let 4392/11*g**2 + 148*g**3 + 0 - 4938/11*g**4 - 2192/11*g + 18/11*g**5 = 0. What is g?
-1, 0, 2/3, 274
Factor -365 + 116*m - 963 + 1228*m + 4*m**3 - 348*m**2.
4*(m - 83)*(m - 2)**2
Let l be -14 - -10 - (-9 + -1). Suppose l*g - 5 = 13. Factor -29*r**3 + 6*r**2 - 3*r**2 + 17*r**3 + 13*r**g + 2*r.
r*(r + 1)*(r + 2)
Let a(x) be the first derivative of -4*x**3/3 - 34*x**2 - 240*x + 263. Solve a(t) = 0.
-12, -5
Suppose 21*y - 56 = 11*y - 4*y. Let n(p) be the second derivative of -1/14*p**y + 7*p + 0 - 21*p**2 - 2*p**3. Determine u, given that n(u) = 0.
-7
Let p(g) be the first derivative of -44934884136000000*g**6 + 121445632800000*g**5 - 136763100000*g**4 + 82140000*g**3 - 27750*g**2 + 5*g - 4060. Factor p(z).
-5*(2220*z - 1)**5
Suppose 4*u**2 + 550*u - 151*u - 696 - 739*u = 0. Calculate u.
-2, 87
Let y(t) be the second derivative of 65522*t**6/3 - 428789*t**5/4 + 538555*t**4/12 - 5560*t**3/3 + 30*t**2 + 51*t - 2. Find k, given that y(k) = 0.
2/181, 1/4, 3
Solve -2/5*k**4 - 4/5*k**3 + 42/5*k**2 + 124/5*k + 16 = 0.
-4, -2, -1, 5
Let y(q) = -35*q**2 - 7419*q + 216. Let b be y(-212). Let m be ((-1)/3*0)/2. Factor 2/7*a**2 + 0*a + 2/7*a**b + 4/7*a**3 + m.
2*a**2*(a + 1)**2/7
Factor 1/5*s**2 + 0 + 6/5*s.
s*(s + 6)/5
Let h(k) be the third derivative of 0 - 1/240*k**6 - 1/6*k**3 + 1/48*k**4 + 19*k**2 + 1/60*k**5 + 0*k. Factor h(a).
-(a - 2)*(a - 1)*(a + 1)/2
Find b, given that 31*b**4 + 44*b**3 - 48*b + 506*b**2 - 214*b**2 - 20*b**3 - 323*b**4 + 24*b**5 = 0.
-1, 0, 1/6, 1, 12
Factor 69/2*n - 18 - 43/2*n**2 + 11/2*n**3 - 1/2*n**4.
-(n - 4)*(n - 3)**2*(n - 1)/2
Let b(f) be the second derivative of 0*f**3 - 1/330*f**5 + 0 + 5/132*f**4 + 19/2*f**2 - 22*f. Let i(d) be the first derivative of b(d). Let i(c) = 0. What is c?
0, 5
Let p = 4061/8880 + 3/2960. Let x(t) be the third derivative of -7/2*t**5 - 1/42*t**7 + 85/6*t**4 + 0 + 0*t + p*t**6 - 10*t**2 - 100/3*t**3. Factor x(k).
-5*(k - 5)*(k - 2)**3
Factor -392/9 + 278/9*k**2 + 1904/9*k + 10/9*k**3.
2*(k + 14)**2*(5*k - 1)/9
Let a be 46/7 + (12/(-4) + 8)/((-5)/(-2)). Suppose -a - 9*f - 3/7*f**2 = 0. What is f?
-20, -1
Suppose 21*a - 7*a = 294. Suppose -a = -12*z + 3. Factor 8/7*w + 3/7 + w**z + 2/7*w**3.
(w + 1)**2*(2*w + 3)/7
Suppose 0 = -5*t - 0*t + 65. Suppose -3*l - t + 19 = 0. Factor 23*r**2 - 2*r - 35*r**2 - l*r.
-4*r*(3*r + 1)
Let u = -104229/2 + 312727/6. Find d, given that -26/9*d + u - 2/9*d**2 = 0.
-15, 2
Let g be 1/(96/(-32) + 14/4). Factor 39 - g*o**3 + 8*o - 53 + 22 - 2*o**2.
-2*(o - 2)*(o + 1)*(o + 2)
Factor -4878*m - 9878*m - 6924*m + 12*m**2 - 3*m**2 - 4*m**2 + 23501120.
5*(m - 2168)**2
Let i = 26678 - 26678. Let p(r) be the second derivative of 0*r**2 + 0 - 27*r + 1/75*r**6 + 1/15*r**4 + 3/50*r**5 + i*r**3. Find o such that p(o) = 0.
-2, -1, 0
Factor 93*n**2 + 459/4 + 1/4*n**4 + 387/2*n + 29/2*n**3.
(n + 1)*(n + 3)**2*(n + 51)/4
Let b(g) be the first derivative of 3*g**6/11 + 168*g**5/55 - 79*g**4/11 + 152*g**3/33 - g**2 - 3213. Suppose b(y) = 0. Calculate y.
-11, 0, 1/3, 1
Let k be (-2)/27 - (-392)/189. Let x(v) be the first derivative of 1 + 10/7*v**k - 24/7*v + 4/21*v**3. Let x(c) = 0. What is c?
-6, 1
Factor -8*p**2 - 1/2*p**4 - 17/2*p**3 + 0*p + 0.
-p**2*(p + 1)*(p + 16)/2
Factor -22/3*k**3 + 2/3*k**4 + 40/3*k + 0 + 16/3*k**2.
2*k*(k - 10)*(k - 2)*(k + 1)/3
Suppose 3/7*l**2 - 2304/7*l - 2307/7 = 0. Calculate l.
-1, 769
Let k(u) be the third derivative of -17/180*u**5 + 9/2*u**3 - 31*u**2 + 2*u + 1/360*u**6 + 7/8*u**4 + 0. Factor k(p).
(p - 9)**2*(p + 1)/3
Let v(n) be the second derivative of -n**5/5 + 47*n**4/3 - 490*n**3 + 7650*n**2 + 2702*n. Factor v(i).
-4*(i - 17)*(i - 15)**2
Let l(f) be the third derivative of -1/45*f**5 - 12 + 0*f - f**2 + 1/72*f**4 + 1/6*f**3. Let l(x) = 0. What is x?
-3/4, 1
Let l(m) = -5*m**2 + 474*m - 465. Let w(r) = 110*r**2 - 10430*r + 10230. Let d(s) = -45*l(s) - 2*w(s). Suppose d(t) = 0. Calculate t.
1, 93
Factor 270/13*c + 0 - 2/13*c**3 + 84/13*c**2.
-2*c*(c - 45)*(c + 3)/13
Let h be 4/(-34) + ((-30300)/68)/(-5). Let s = h + -86. Factor l**3 - 67*l**2 + s*l + 34*l**2 + 37*l**2.
l*(l + 1)*(l + 3)
Let b(a) be the second derivative of a**6/240 - 343*a**5